Notebooks/A3-Compare_and_merge_Hi-C_experiments.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# Table of Contents\n",
    "* [Comparison of Hi-C experiments](#Comparison-of-Hi-C-experiments)\n",
    "\t* [Between conditions](#Between-conditions)\n",
    "\t\t* [HindIII](#HindIII)\n",
    "\t\t* [NcoI](#NcoI)\n",
    "\t* [Between replicates with different restriction enzymes](#Between-replicates-with-different-restriction-enzymes)\n",
    "\t\t* [T0](#T0)\n",
    "\t\t* [T60](#T60)\n",
    "* [Merge Hi-C experiments](#Merge-Hi-C-experiments)\n",
    "\t* [Normalizing merged data](#Normalizing-merged-data)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# Comparison of Hi-C experiments"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "from pytadbit.mapping.analyze import eig_correlate_matrices, correlate_matrices\n",
    "from pytadbit import load_hic_data_from_reads\n",
    "from cPickle import load\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "reso = 200000\n",
    "base_path = 'results/fragment/{0}/03_filtering/valid_reads12_{0}.tsv'\n",
    "bias_path = 'results/fragment/{1}/04_normalizing/biases_{0}_{1}.pick'\n",
    "bads_path = 'results/fragment/{1}/04_normalizing/bad_columns_{0}_{1}.pick'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "Write a little function to load HiCData obeject"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "def my_load_hic_data(renz, rep, reso):\n",
    "    hic_data = load_hic_data_from_reads(base_path.format(renz), resolution=reso)\n",
    "    hic_data.bias = load(open(bias_path.format(reso, renz)))\n",
    "    hic_data.bads = load(open(bads_path.format(reso, renz)))\n",
    "    return hic_data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## Between conditions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "### HindIII"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "renz1 = 'HindIII'\n",
    "renz2 = 'MboI'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "hic_data1 = my_load_hic_data(renz1, reso)\n",
    "hic_data2 = my_load_hic_data(renz2, reso)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true,
    "scrolled": false
   },
   "outputs": [
    {
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9H7iqnqb2v/fS7d27d2OnkGtwDhw4wKxZs8jMzKS4uLjs+cWLF9foA8aOHcvtt9/OxIkT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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff797a25590>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## this part is to \"tune\" the plot ##\n",
    "plt.figure(figsize=(9, 6))\n",
    "axe = plt.subplot()\n",
    "axe.grid()\n",
    "axe.set_xticks(range(0, 55, 5))\n",
    "axe.set_xticklabels(['%d Mb' % int(i * 0.2) if i else '' for i in range(0, 55, 5)], rotation=-45)\n",
    "#####################################\n",
    "\n",
    "_ = correlate_matrices(hic_data1, hic_data2, max_dist=50, show=False, axe=axe, normalized=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "hic_data1 = my_load_hic_data(renz1, rep1, 1000000)\n",
    "hic_data2 = my_load_hic_data(renz2, rep2, 1000000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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N9evXS3MVZWdnY/Xq1UhPT5f2e74IakZGBpKSkqTlNfr27YsxY8bg7t27sLKyUqq7SZMm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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff799f93090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.998 0.118 0.068 0.010 0.024 0.004\n",
      "\n",
      "0.159 0.991 0.003 0.006 0.006 0.001\n",
      "\n",
      "0.081 0.008 0.981 0.103 0.001 0.006\n",
      "\n",
      "0.025 0.004 0.102 0.979 0.014 0.012\n",
      "\n",
      "0.022 0.002 0.003 0.011 0.979 0.009\n",
      "\n",
      "0.001 0.000 0.006 0.017 0.011 0.972\n",
      "\n"
     ]
    }
   ],
   "source": [
    "corrs = eig_correlate_matrices(hic_data1, hic_data2, show=True, aspect='auto', normalized=True)\n",
    "\n",
    "for cor in corrs:\n",
    "    print ' '.join(['%5.3f' % (c) for c in cor]) + '\\n'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "### NcoI"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "renz1 = 'NcoI'\n",
    "renz2 = 'NcoI'\n",
    "rep1  = 'T0'\n",
    "rep2  = 'T60'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "hic_data1 = my_load_hic_data(renz1, rep1, reso)\n",
    "hic_data2 = my_load_hic_data(renz2, rep2, reso)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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VV1/NtGnT+PTTT2nUqFF1xCY/Va8Z9JoUHO/9Cr6f7V48IiIiHlVhD87PfvYz\nfD5f8Xj16tW0a9eO6OhoAGbPdueLtdb24JS06WXYMcMcR9SDATOgcUd3YxIRETkNTn2vV1jgTJ8+\n/ZQ/OGbMmEq9wZYtWxgzZgz79u0jOjqat99+m06dOpX73M2bN5OcnMwvf/lLnnvuufIDVoEDBXmw\ndCwc/taMm3SB/tMhsp6rYYmIiFRVtRc44TJkyBDGjRvHqFGjmDlzJm+++Wa5Tcp+v58hQ4YQGxtL\nTEyM9QVOamoqKSkpp/8CR7bBV7eCP8+M298C3R4MS2xVccZ5eITy8B5bclEe3mJLHmBPLk59r9cJ\n9YQ9e/YwefJkMjIyyM/PLz5fmSmq7OxsVq1axciRIwEYNWoU99xzDzk5OcVTXUWeffZZrrnmGg4f\nPszRo0ermkft07gjxD8AGwsLwe9mQetLILqvu3GJiIh4QMgrOBdffDHdunWjf//+REZGFp+vzBRV\nWloaY8aMYe3atcXnevTowcyZM0lKSio+t3r1au6//34WLlzIE088wdGjR62/ghMWgQB88wDs/dKM\nG54DA9/VVJWIiNQYrl3B2b9/P1OnTg37GxfJz89nwoQJvPXWW6WamqUSfD7o+RgsuQnyj0Lu97D9\nLbO9g4iISC0WssDp2bMnWVlZxMTEVPnF4+Li2LVrF4FAAJ/Ph9/vJysri7i4uOLn/PDDD2zbto2r\nrrqKQCDAgQMHADh06BCvv/56ua87duxYOnToAEDz5s1JSkoqnocsWhfA6+Oic2f8ekvXQ86lpDSb\na8YfvAy9mpJy5chqyefll1+ukX/+jn0eLo9t+TxKfhZeied0x+np6TzwwAOeied0x/o8vDeuqf/e\ni4537NiBk0JOUV1xxRWsXLmSgQMHEhUVVXy+sreJDx48mDvvvJPRo0czY8YMpk2bdsqVkCdNmlQr\npqhSw9kcFvDD0jvg4DozbpEM579hrvA4LKx5uEh5eI8tuSgPb7ElD7AnF9fuoqrodvHK3ia+efNm\nxowZw4EDB2jRogXvvPMOnTt3Zvjw4Tz55JMkJyeXen5tKXDC7tAW+Go04Dfjnv8N7a51NSQREZFQ\nauxt4uGmAucUNr8C2982x3WbwsXvQ70W7sYkIiJyCq5ttpmfn8/UqVO5++67ueOOO4ofcmZKzkWG\nTafx0KCwV+rkIdj0Uvjf4yccycMFysN7bMlFeXiLLXmAXbk4IWSBM2HCBL788kvmzp1Lly5dWLFi\nBQ0aNKiPBgC2AAAgAElEQVSO2KSq6jSA7v8VHGd9AnuXuxePiIiIS0JOUfXq1Yu1a9eSmJjImjVr\nOHjwICNGjHCtctQUVSWkPwK755vjhnGFa+PUdzcmERGRcrg2RVV0tSYyMpLc3FyaNWvGnj17wh6I\nhFHCg1CnsTnOzYRtb7obj4iISDULWeC0bNmS/fv3M2zYMK688kpuvPFGYmNjqyM2qzl6BSzqLOh6\nb3C8bbrZu8oBtswBKw/vsSUX5eEttuQBduXihJAFzrx582jRogVPP/0048eP59JLL+X999+vjtjk\nTMRdD80TzXEgH9Y/Y9bLERERqQVO2YNTUFDAiBEjmDt3bnXGdErqwamCw1vN2jiBAjPu8RjEXedu\nTCIiIiW40oMTGRlJTk4Ofr/+z79GatIZOtwWHG/+E5zY5148IiIi1STkFFX//v254YYbmD17Np98\n8knxQ85Mtc2ddh4HDQp7pvIPh31tHFvmgJWH99iSi/LwFlvyALtycULIzTbT09MBmDJlSvE5n8/H\nVVdd5VxUEj6RUWZtnG8Km45/+Ce0GwHRfd2NS0RExEHaqqG2WP0o/PAvc9ysJ/SfVi2bcYqIiJyK\na+vgiCW63ge+uub44DrI/sLdeERERBykAscl1T532uBsOOem4HjLlLDcNm7LHLDy8B5bclEe3mJL\nHmBXLk5QgVObdPy56ckBOLwFdi9wNx4RERGHqAenttn8v7D9LXPcqD0MnA0Rka6GJCIitZdT3+sh\nC5zNmzfz1FNPkZGRQX5+fvH55cvd2aVaBc4ZOnkIFl0D+UfNuOfj0O4ad2MSEZFay7Um45EjR9Kt\nWzeeeuopnn/++eKHnBnX5k7rNi29+F/G/4H/5Gm/nC1zwMrDe2zJRXl4iy15gF25OCHkOjh+v59H\nHnmkOmKR6tLhFvjuXTh5AI5lwc4P4ZyfuR2ViIhI2IScopo4cSJ33303iYmJ1RXTKWmKKky2z4DN\nL5vj+mfBJR9BZH13YxIRkVrHtR6c8847jw0bNhAfH09UVFTxefXg1HAFJ2DxCDix14zjH4Bzb3U3\nJhERqXVc68F5+eWXmT9/PpMnT1YPThi5PncaWR863Rkcb3sL8nOr/DKu5xEmysN7bMlFeXiLLXmA\nXbk4IWQPzqBBg6ojDnFDu+tg+zumD+fkAdgxy2zOKSIiUsOFnKI6ePAgf/jDH0hPT+f48ePF5//9\n7387Hlx5NEUVZjv/AesmmeM6jWDQP8ydViIiItXAtSmqO+64g8jISL799lvGjx9PZGQk559/ftgD\nEZfEXGUW/AOzNs72d9yNR0REJAxCFjhbt27lySefpGHDhowaNYq5c+eyePHi6ojNap6ZO42IhM4T\nguPv/gon9lX6xz2TxxlSHt5jSy7Kw1tsyQPsysUJIQuc+vXNrcP16tVj37591KtXj+zsbMcDk2rU\nZig06WqOC47DtmnuxiMiInKGQvbg3Hrrrbzyyiu89dZbvP766zRv3pyOHTvy7rvvVleMpagHxyF7\nFkPag+bYVxcu+dDsQC4iIuIg19bBKWnJkiUcOHCAYcOGUadOyBuwHKECxyGBACz9ORxcZ8btroee\nj7obk4iIWM+1JuMieXl5JCcnM3jwYPLy8sIeSG3jublTnw+63B0c7/wIsr8M+WOey+M0KQ/vsSUX\n5eEttuQBduXihJAFzpw5c4iLi6NBgwY0adKExo0b06RJk+qITarbWedDy76FAz98cz+segiO73E1\nLBERkaoKOUXVsWNH/va3v9GnTx8iIip9wccxmqJy2OEMWD4eTh4KnotsaO60an8zRLgzNSkiInZy\nbYqqbdu29OvXzxPFjVSDJp3gojkQc3XwXEEubH4JvroV9q92LzYREZFKClm13Hvvvfzud78jLS2N\nDRs2FD/kzHh67rR+S0j8Hzh/KjTuGDx/ZCssuxPWPgF5BwCP51EFysN7bMlFeXiLLXmAXbk4IeR8\nw65du3jxxReZPn06kZGRgLmctG3bNseDE5e1TIYBs8weVRlTzRo5ALs+hj2p0PU+CGhbBxER8Z6Q\nPTjt27dn6dKltG3b9rTeYMuWLYwZM4Z9+/YRHR3N22+/TadOnUo956233uKll14iIiICv9/PuHHj\nuPfee8sPWD047ji2Gzb+0RQ2JTXvBV3vNcWQiIhIFbm2Ds4ll1xyRlszDBkyhHHjxjFq1ChmzpzJ\nm2++yYIFC0o958iRIzRu3BiAo0eP0qNHD+bOnUvPnj3LBqwCx117voCNz5sdyEtq2Q+6TIAWSe7E\nJSIiNZJrTcbnn38+o0aN4oMPPuCTTz4pflRGdnY2q1atYuTIkQCMGjWKtLQ0cnJySj2vqLgBU+zk\n5+fj8/mqkkeNU2PnTltfDBfNho53gK8OqWsOm/P7VsCycbDil7B/jbsxnoYa+3n8hC15gD25KA9v\nsSUPsCsXJ4Tswfnmm28AmDx5cvE5n8/HVVddFfLFMzMziY2NLS5WIiIiiImJITMzk+jo6FLP/cc/\n/sHDDz/Mtm3b+P3vf0+PHj2qlIhUo8go6Ho3tLsOdj0GrAP85vdylpnHWReaW8ubl70KJyIi4rRT\nTlH5/X7WrVtHYmLiab14WloaY8aMYe3atcXnevTowcyZM0lKKn8qY+fOnYwYMYJ3332XLl26lA1Y\nU1Tek7sTMv4Cu+ZRXOgUOWugmbpq1t2V0ERExNtc68FJTExkzZrTm3LIzs4mPj6enJwcfD4ffr+f\n6Ohotm7dWuYKTkm/+MUv6Nq1K7/61a/KBuzzMWbMGDp06ABA8+bNSUpKIiUlBQhestPYhfHR70l9\n9zHIWU5Kopl2LJrCShl6NfR4lNSv13gnXo011lhjjat9XHS8Y8cOAKZPn+7MhYtACNdff31g+/bt\noZ5WoUsvvTQwY8aMQCAQCLzzzjuBwYMHl3nOxo0bi4+zs7MD8fHxgc8++6zc16tEyDXCwoUL3Q4h\nLMrN48iOQCD90UDgn30DgX/2CT6++FkgcDyn2mOsDKs/jxrKllyUh7fYkkcgYE8uTn2vh+zBOXz4\nMImJiVx00UWlmoFnz55dqQJqypQpjBkzhieffJIWLVrwzjvvADB8+HCefPJJkpOTmTp1KvPnz6de\nvXoEAgHuu+8+hg4deloFm3hAo/bQ+ynodAds/TPs/gwIwJFtsPwu6Pc6RJ3ldpQiImKxkFNU06dP\nL/f8mDFjHAkoFPXg1EA/zIfVj1Hcn9PwHDj/DYhq5WpYIiLiPtd6cLxGBU4NtftzSH+E0kXO6xDV\n2tWwRETEXa6tg5Ofn8/UqVO5++67ueOOO4ofcmZKNlvVZJXOo81QSHoWfGa7D3K/h+UT4Pgex2Kr\nilr3edQAtuSiPLzFljzArlycELLAmTBhAl9++SVz586lS5curFixggYNGlRHbGKbNoN/UuRkwrLx\nZhsIERGRMAo5RdWrVy/Wrl1bfLv4wYMHGTFihGuVo6aoLLBnMax6CAL5ZtwgxvTkNDi9/c5ERKTm\ncm2KquhqTWRkJLm5uTRr1ow9e7wxrSA1VOtL4LznwVfXjI9lwbK7IDfL3bhERMQaIQucli1bsn//\nfoYNG8aVV17JjTfeSGxsbHXEZjVb5k5PO4/WF0PyH4NFzvEfzC3kubvCFltV1PrPw4NsyUV5eIst\neYBduTghZIEzb948WrRowdNPP8348eO59NJLef/996sjNrFdq4GQ/AJE1DPj47tNkXNwo7txiYhI\njVep28QPHTrE1q1bSU5Oro6YTkk9OBbauxTSHgR/XuGJCOgwCjpPhDpqaBcRsZlrPTiffPIJPXr0\n4IYbbgBg5cqVXHPNNWEPRGqxs/pD8stml3IA/LBjJnx5syl+REREqihkgfP444+zYsUKWrRoAUDf\nvn3JyMhwPDDb2TJ3GrY8zjofBvwVWvYLnjuWBSvvgTX/DXkHwvM+FdDn4T225KI8vMWWPMCuXJwQ\nssABaNOmTalx/fr1HQlGarlGcdDvNej5ONRtGjyf9Ql8cRPs+gQ0PSkiIpUQsgdn8ODB/PWvf+XK\nK68kLS2N1NRUJk2axMKFC6srxlLUg1NLnNgHm16AH/5V+vxZF0L3h6FhjDtxiYhIWLm2F9Xy5cuZ\nOHEi27dvp3fv3mzZsoWPP/6YPn36hD2YylCBU8tkfwnrn4HjPwbPRUZB51+YRmRfpS5CioiIR7nW\nZHz++eezcOFCZs2axUMPPcT69etdK25sYsvcqeN5tBoIF70H7UcCPnOu4DhsfgmW/hyObAvL2+jz\n8B5bclEe3mJLHmBXLk6o1P/+njx5koKCAvx+P/n5+U7HJFJanYbQ7TfQfxo07hw8f3A9fHkLZPwF\n/Pp7KSIiQSGnqD744APuuusu+vTpQyAQID09nalTp3LddddVV4ylaIqqlvPnw/bpsPXPEDgZPN+k\nK/R6HJrGuxebiIhUmWs9ON26deOjjz6ia9euAGzZsoVrr72WjRvdWW1WBY4AZmpq7SRzFadYBHQc\nC53GQWQ9tyITEZEqcK0HJyoqqri4AejSpUvxBpxy+myZO3Utj8YdzZRV/K+CWz3gh21vwlej4cDa\nKr2cPg/vsSUX5eEttuQBduXihJAFzogRI3j66afZvXs3P/zwA8888wzXXXcdx44dIzc3tzpiFCmf\nLwLOHQ0D34UWJbYRObodlt4Bm14yDckiIlLrhJyiioiouAby+XwUFBSEPahT0RSVlCvgh8z3YfMr\nUHAseL5hO+hwG7S9Auo2di8+EREpl2s9OF6jAkdOKTcL1j8NOctKn4+oD20ug3YjoEUS+HzuxCci\nIqW41oNT5MCBA3z44YesWbMm7EHURrbMnXouj4Yx0Pd/oed/Q50SV2z8JyBrLiwfD1/cCNveNqsl\nF/JcHqfJljzAnlyUh7fYkgfYlYsTKixwbr31VlavXg3Avn376NWrF48++iiXXXYZf/7zn6stQJEq\n8/mg3bUw6GPo9p+l184ByP0evn0FUq+EVf9pVksO+N2JVUREHFHhFFX37t3ZsGEDAH/605+YN28e\n8+fPZ+fOnVx99dWkp6dXa6BFNEUlVRYIwKGNsPNDyPoUCsppjo86G3o8YlZOFhGRalPtU1RRUVHF\nx0uWLOH6668HoF27dvjUvyA1ic8HzbqbAubSf5ndypv3Lv2c4z/CN7+C72a7E6OIiITVKXtwsrKy\nOHbsGKmpqQwaNKj4/PHjuvX2TNkyd1rj8qjTANpdA/3/AhfNMXdY1W1O6prDgB82PgcbX6yxU1Y1\n7vM4BVtyUR7eYkseYFcuTqiwwHn44YdJSkqiS5cuXHTRRXTv3h2ApUuXcs4551RbgCKOadwBEu6H\ni2ZDow7B89/NMr05+ccq+kkREfG4U94mvnv3bnbv3k3v3r2Lp6WysrLIz893rchRD444ouA4rPlv\n+PHfwXNNu0Ofl6B+tHtxiYhYTuvgFFKBI44J+GHzZNjxTvBcVBvo+4rZGkJERMLO9XVwJLxsmTu1\nKg9fhJmy6v5fFP/TOL4blv4c9i53M7xKs+XzAHtyUR7eYkseYFcuTlCBI/JT59wEfV6GyIZmnH8U\nvrkXdn7sblwiIlJpmqISqcihb+GbB+DEnuC5jj+HLr8wV3tEROSMqQenkAocqVbH95j1cQ5vDp6L\nuwG6P6z9rEREwkA9OJaxZe7U+jyiWsMF/wetLgqey/wAtr9dLXFVlS2fB9iTi/LwFlvyALtycYLj\nBc6WLVsYMGAACQkJDBw4kIyMjDLPeeqpp+jZsydJSUn069eP+fPnOx2WSOXVaQjnvQBtrwye+3Yy\n/KC/pyIiXuX4FNWQIUMYN24co0aNYubMmbz55pssWLCg1HM+++wzLr74YqKiolizZg2DBg1i9+7d\n1K9fv2zAmqISt/hPwsp7YN83ZhxRD/q9Bi2S3I1LRKQGq5E9ONnZ2cTHx5OTk4PP58Pv9xMdHc3W\nrVuJjq548bQWLVqwfv16YmJiygasAkfcdPIQLL0Dju4w47pNof9b0Eire4uInI4a2YOTmZlJbGxs\n8SrIERERxMTEkJmZWeHPTJ8+nU6dOpVb3NjElrnTWpdH3abQ5xWo19KMTx6Cb+6DvP2OxVYVtnwe\nYE8uysNbbMkD7MrFCZ5qMl60aBGPP/447777rtuhiFSsYQwkvwQRhVOouTsh7ddQcMLduEREpFgd\nJ188Li6OXbt2EQgEiqeosrKyiIuLK/Pcr7/+mttvv52PP/6Yzp07n/J1x44dS4cOHQBo3rw5SUlJ\npKSkAMGKVuPqGRed80o81Tru/RSp0yeaceIaWPs4qfsvB1+EPo8wjFNSUjwVz5mMi3glHn0eeCqe\n2vbvveh4x44dOMnxJuPBgwdz5513Mnr0aGbMmMG0adPKNBmvWLGCm266iTlz5tCvX79TB6weHPGS\nHbNg04vB8bm3Q/x97sUjIlLD1MgeHIApU6YwefJkEhISePXVV3njjTcAGD58OGlpaQD88pe/5Pjx\n40yYMIHzzjuP5ORk1q9f73Rorvrp/0nUVLU+j/aj4Jybg+Ptb8P374f+uUAATuTA0e/McZjY8nmA\nPbkoD2+xJQ+wKxcnODpFBRAfH8/SpUvLnJ83b17x8fLlNWMjQ5EyfD7o9ms49gNkLzbnNvwBGrSB\nVgPNreW5maaQObLD3H1V9Mg/ap7f5nJIfBIiIt3JQUTEQtqqQSQc8o/B8rvg0EYzjoyC+q1NAzL+\n0D/fdhgkPqE9rkSk1qmR6+A4QQWOeNaJHPh6LBz/oXLPj6gP/hJ3XrW7Dno8oiJHRGqVGtuDI+Wz\nZe5UeZRQPxr6/smslVNSVFs460LTr9P9v6Df65DyKVz2hdm4s8jOD2HjC2fUk2PL5wH25KI8vMWW\nPMCuXJzgeA+OSK3SuCMMfBcObYKoNmaF48ioip/f/b/M+jlZhT1p3/8NIutD13u1W7mIyBnQFJWI\n2/wFsOYx2P1Z8FznCdB5vHsxiYhUE6e+13UFR8RtEZHmLqqCE8E7sba+YXp0Ot5+5q8fCMCJvXAk\nAw5nmF+P/wgxV5mHrhSJiIXUg+MSW+ZOlUeYRNSBpGchun/w3LevwHezq/QyqZ/Pg32r4Pv3YP2z\nsGw8/HsIpF5pdkLf/BLs+hhylsHax2HN7yA/N8zJhIfrn0mYKA9vsSUPsCsXJ+gKjohXRNaD5D/C\nyvtgv1kEk43PmR6edteWfX7Ab67IHFgDB1abX9M2Qn6Tyr/nD5/CwQ2muGraNTx5iIh4gHpwRLwm\nPxdW3A0H1xWe8EHiU9D6IjiwzhQz+1fDgbVQUMmrL5ENoUlnaNzJPA5/a67kFImoB91+A+2u15SV\niFQrrYNTSAWO1AonD8PyiXB4c+GJCCBQ+DiFiHrQ6Fxo0gkady78tRNEnV22cNn1CWz4PRQcC55r\nczn0fBTqNApjMiIiFdM6OJaxZe5UeTikbhPo96q57RwwqyGX8x+AetFw9mBIeBD6v0VqnSdg4Eyz\nKnLH2812EQ3alH9VJvYquPAdUwgV2T0fvroVDm0u+/xq5rnP5DQpD2+xJQ+wKxcnqAdHxKvqNYd+\nU8yVnKPbgQho0gVa9IbmiebRoG3p4iVib9Xeo3EHuHA6bPwj7Py7OZebCUt/boqmuBs1ZSUiNZKm\nqES8riDPFDgN46BOQ+feJ+tfsP7p0n09bS6DHo9C3cbOva+I1GrqwSmkAkfEQUe/h/T/Mk3IRRp1\ngL6TzdUiEZEwUw+OZWyZO1Ue3nLGeTQ6B/q/ZaamihzdAUvvgMNbz+y1q0ifibcoD++xKRcnqMAR\nkdIi60GPh82t6b665tyJbFg2DvalOfve+ccg+0vYOhUObnL2vUTEapqiEpGK5ayEVb+G/KNmHFHP\nFD5tBofn9QN+OLwF9i6FvV+b9X0CJ4O/3/ku6DQOfPp/MRFbqQenkAockWp26FtYeS/k5RSe8EH3\n38I5N53e6x3fa7aK2LvU/Jq379TPb51ibnt3ssFaRFyjHhzL2DJ3qjy8xZE8mnaF/tOg4TmFJwKw\n4VnYMsVs5FkZubtg65/hy1GQOszsg/XDP8svbhp3gmY9SF1z2Iz3pMLSsZC7MwzJVD/93fIWW/IA\nu3JxgtbBEZHQGsZA/7/ANw/AwfXmXMZfzNWYHo+YHdF/Km8//PCZ2e/qwJqKX7tuczjrAjjrQoi+\nAKJagb8AttwHLDPPObINvr4dev/ePFdEJARNUYlI5eUfg/Tfwt6vgudaXQJJz5hNQQuOw4+LzNWZ\nvV9DoKDsa/jqmMUKo/uboqZp14p7bHbNM2vz+PMKT0RAwgPQflToBQgDftNDlPUJ7PsG6kebTUvb\nDtN0l4iHqAenkAocEZf582HdU5A1N3iueS+zEOGPC0vvbVXEFwlnDYCYK6HVRVUrMA5ugLRfmzu5\nisQMNwsQRtYr/dxAwGwzkfWJ2XbiRDkrO0c2MEVO3A3QrFvl4xARR6gHxzK2zJ0qD2+pljwi6kCv\nx+HcscFzB9aaouKnxU3zRNOQfOm/oM9L0PbyShc3xbk06272zGqeGPzNrHmwfDwc32PGuVlmymzJ\nz+DrW+G7WeUXN2Bi3Pl3+Po2s+9W5gdmB3eH6O+Wt9iSB9iVixPUgyMiVefzQfw9UP8s2PQCpTYC\nbdTBXKlpOwwaxobn/aLOgn6vm+bmXR+bcwfXw1e3mfeoqMenXktTVJ09xFzZ2fmB6ecpcmgTrH8G\nNr0MMcOg3fXhu6pzNBO++yvs3A35/WrHDu1Htpmis2VfUwiLuEhTVCJyZvYshu/fMzuft70SmsY7\nt0FnIGDea+MfMTuslyOyAZx9qYkl+vzSDdCBgCmGMt+H3Z+X6O0poXkv6PJLiO57ejEW5MH26bBt\nWvD1o9pAz9/Z2yBdkAff/q+5cgbQIAbOHQOx15SdRhT5CfXgFFKBIyLkrDB7Zp08WHgiwjQsx1wF\nrS+BOg1Cv8bJQ6aJOfODwt3af+KsAdD1HtMEXVl7l8GGP0Du9+X/frvrIf5+uzYvPbjR3PZf8spY\nkfqt4NzbTN6V+UykVlIPjmVsmTtVHt5iSx4QIpfofjBgBnT8uenxGfwv6PsniLmi8l+kdZtCh1Fw\n0Wy44M+mOIoocbVh71fw1WhY/TvT43Mqx7Mh/WFY+cvSxU2TrqSuL3GlaeffYcl/QPbXlYvRQ8p8\nHv4Cs7bR0rGli5uSf4YnsmHTi7DoGsiYFlwR20W15t+IqAdHRGqoBm2h6y/P/HV8PmiRZB5dfglb\n34BdczFTYAFzy/vuz+Ccn0GnO6Bei+DP+gvg+9lm0cOCEo3KdRqb2OJuhKNzodUS+PHf5vdO7IFv\n7oXYEZDwK3ev5uTnmjvcIutX7eeOfgdr/ju4JhKYqcGEX5neq8y/w/a3g6tfnzwAW14159qPNI96\nzcKXh1sOboA9X0Ds1eHrN5Ow0RSViMhPHc6Ab1+F7MWlz0c2hI5joP0tcGQrrP89HP629HNiroL4\nB6B+y9Lnd38O6581X/ZF6reGno9BqwHhjd9/EnIzzUKMJ07xKMgFIqB5T9OvFH0+NOtZcd9MwG96\noDa/Av4TwfPNe0PiJGjYLniuIM80hG97C47vLv06kQ1MwdhhtFmfqDrkHzVF2b6VZurxnJ+d2esd\nWAfL7zJ9VvVaFK723S70z0kZ6sEppAJHRKrN/nTzZf7Tu7TqNoWThylz91j3/zp1c/KJfbDxOVPs\nlBR7beHVnCZnHvO+b2D1oxXfJh9KRH1ocV5hwdOvsGk8Ao79COsmQc7y4HN9daDLL0yfTUWLNfrz\nzRIC26aZoqvUe9Uz6xGdeztEtT69eCsj74DZT+3QxuC5xKfNlObpOLbbrKxdcquRhu3ggjfLFrYS\nknpwLGPL3Kny8BZb8gCP5NIiCS74C5z3AjQ6N3j+5CGKi5uI+mZqa+Bfyy1uSuVRvyUkPWseJae6\ndn0MS242Ux5nYu8yWHlf5YubiHKu1PhPQM5S+PYVs1bQv4dC2q9Jfe2K0sVNky5mfaKOY06923tE\nHbOC9MXvm6KicacS75UH370Li0aY2/VD9TqdjuN7zJWWwuKmeI+ztf9jisGqys+FtAfL7qOWu9Ns\nZeLgmko/5Yl/Ix6mHhwRkVPx+eDsQWYF5qy5sOUN00cDZpuKbr8xe3VVRZuh0LIPbHjerLgM5jWX\n32X222p9cdXjzP4KVv0meGt6ncbQpLO5k6n+WYWPwuOownGdJuZOtH0rTfGSs6LsVZaTh2DPosJF\nHJsAEeaKS+e7qnYLuC/CXDFpe5l5vYy/mHWIAAInzd1sOz8yq1R3HAuNzjnly1VK7i5Y8Qs4VlQ4\n+czeZxSY90z7NfR/0yxxUBkBP6z5XXBa0hdpboff9hbgh0MbzN19yS86sw5QIGAKqQOrzVWkg/kQ\nGOTcsgw1nKaoRESqouCE2ZIiqjW0TD7z19v9b1j/VOFVIYAI6P6fVesR2bMYVv3WfGkDRJ1tFkZs\nFFf1eI7tDhY7OcuDjcJgpmF6TTJ7iZ2pQMDsV5bx53IWaowwCzR2uqPyxcdPHc4wd7UVXc3yRULi\nk2ado6/HBvOKOhv6v2U2eQ1l8yumUbpIz99BuxHw/fuw4ffB87HXmt8708LDf9IsULl/tSlq9qeX\nvXLUso+5gtgisfzXCLdAIOwFlXpwCqnAERHrHNkB39xX4koD0OE2iL/31NM/YAqk1Q8HNzaNagvn\nv1H1q0rlCQTMGkE5K83rtxsR/o1KAwFzBSnjz+VPGZ092Gyu2iKp8l+sB9abO9WKisaIenDe89Bq\noBkf2gzLxgfvfGvSFS74v1OvNr3zH6YHqUiHW83Gr0W+fQ22vRkcdxoHXSZWLt4iBXmwb4UpZPav\nhoPryl+MsjytLjb9UFVZt6kyAgGzDMCeReZxcIO5gzH2arOQY4O2Z/wWKnAK2VLgpKamkpKS4nYY\nZ0x5eIsteYA9uVQ6jxP7TA/HoRJ9OGcPgcQnKr6N+4f5sPoxild1bhBripsGbc407DKq5fPYn26m\nrgG82RAAACAASURBVPaWs05Qo3NNQ3LscNPkXZGclaZHpqh4iWwIfV4uvtpWnEf21/DN/RT/2UVf\nAH3+VP7U0r5VZqorkG/GrS6G5BdKF5+BAKx7Anb9I3iuxyMm5lAKjpspum3TS18xK0+dxmZftrrN\nSP3XHFISf1KUtbncFFZnMsXnzzefRVFRc6yi3iifaUSPvdasHl7V5QaKXqWmNhlv2bKFAQMGkJCQ\nwMCBA8nIyCjznM8++4x+/foRFRXFQw895HRIIiLeU7+lKU5aDwqe+3GB+WLNO1D2+bs+KV3cNDzH\nXIVwoLipNi2SoO9k6D/d9DeVdHS72fds4TBY8zjsX2OKipL2LDZXwoqKm7rN4PzXy59KbHWhuUW/\nSM4yWP902dfM3WV6m4qKm8adoffTZa+s+Xxmh/uzStzyv/5Z+HFRxfnm58K2t2HRtWZBxPKKmwax\nZumBHo/AwL/BkH9D31eg95NmurDtlUCJK1u758MXN8G6p8ydb5V18kiwYP73ZbBiotlLrcLiBiBg\npjHXPAYLrzDLJhzcUPbP0CWOX8EZMmQI48aNY9SoUcycOZM333yTBQsWlHrOtm3bOHLkCHPmzOH4\n8eM899xzFQdsyRUcEZFyBfzmy+67d4PnGsZBn1eCPTU7/2GuFhTdydXoXOg3xTQP2+TQFsh8D7I+\nLb2QYpHGncxiijFXQvaXZp2booKvfivo92roHp6tU82jSOe7zAPMl/7Snwe38qjXEi6cfuppmfxc\nWD4xeCUuop7phyrZI5N/FL6bDTtmlNhuhGDcbS4zxV7zxMp9poe3msUm9/ykmPLVhXNuMne8nTxo\nljYo79f8w2WXPSgpsqGZ3ms9yFyx2Zdm7vzbu7T8n2nc0Sxk2WqgWQAxou4pw6+RU1TZ2dnEx8eT\nk5ODz+fD7/cTHR3N1q1biY4uu7jTpEmTOHr0qAocEZEdfzWFTtEXSN1mkPwSHMkwVxqKNO5kihub\n11/Jz4UfPjXTOEV3XpUUUb+wV6Xwz6pBrPkzqUwfUiAA654M7lIPpkE45mpIeyA4XVZeoVKRE/tg\n2R3mjicwU2oXvGkWNfzub2ZT0uKm8kJRZ5utR2KvPf0NSg+sgy2vlb6d/3RFnW0KmtaDzBWw8oqU\nYz9C1jzzZ1eUaxkR5qpiw3PMtFnDuOCvDWIgok7NnKLKzMwkNjYWX2FjWEREBDExMWRmZob4SfvZ\nsn6B8vAWW/IAe3I57Tw6jILznguuVXPyICyfULq4adLVTGtVQ3Hj6udRp6HpZRkwAy58G9pdB5FR\nwd/3n6C4uGnc0axdVEFxUyYPn89M/5x1YfDcuqdNH0/JXqCev6v8nUr1W0KfycG1jk4eMlM+i66B\nra+XLm4axJiprUs+NFdbqlDclMmleU/o9xr0fc2sSF0lPmgSb65eDZgFg+ZC94fgrAsqvgLT4Gxz\np9vFf4fzpxbuHh/1kyf5zTRXzlKzrcmmF0zv0xc3wGcDYXElepROU41cB2fs2LF06NABgObNm5OU\nlFTc/Fb0gXt9XMQr8ZzuOD093VPx6POw4/OwaZyenn76P7/RB3njSWk4C/L2k7ra3CKcktgEmnYj\nNXckfHUGr19jx49Bwq9Iff+PsGcxKV3MNE/q1pYQfzsphdM6Vfo8kv5A6pRr4NhO8+e798viRQFT\nrn8AYq6sWryN4kjNHQ2bXiClZ304sTf4eolNoGE7Un/sB/X6kxI35LT+PE757z26H6kfvgL70kjp\n18E0Jaf9AJENSbnkQqjblNRlm814yBVQpwmpi7+AnZDSuWvV42mZTOqaQxBxASnd8mD356QuWQF5\n+0y+lFhksfB4x48ngK04RVNUIiJel7vTrFBctFN5s56mGTccWzvUdIGAWaX4WJZpTD7d6R0we3ct\nHVt676yzh0DS70Pfrl+R7K/M3XElm8E73Wk2JY2IPP1Ya4qCPDi2E45mmr+/R78v/DWzeMFM35Xf\nOPK97ugVnFatWpGUlMSsWbMYPXo0s2bNIjk5udzipoiKFxGRn2jYzmzmuP1ts2BdxzGnXrOlNvH5\noFl38zhTUWeZO5SWjTPTSE27m01ET7e4AbORat//hR/+ZRp0215+Zq9X00TWM9OG5TV75x8r7N3p\n6sx7Bxy2adOmwAUXXBCIj48P9O/fP7Bly5ZAIBAIXHXVVYFvvvkmEAgEAkuWLAm0a9cu0KxZs0DT\npk0DcXFxgfnz55f7etUQcrVYuHCh2yGEhfLwFlvyCATsyUV5eEul8jj2YyDww+eBQP5xx+M5E7Z8\nJk59rzvegxMfH8/SpUvLnJ83b17x8cCBA9V4LCIi3hDVGtoMcTsKOUNayVhERERcUyNvExcRERFx\ngwoclxTdXlfTKQ9vsSUPsCcX5eEttuQBduXiBBU4IiIiYh314IiIiIhr1IMjIiIiUkkqcFxiy9yp\n8vAWW/IAe3JRHt5iSx5gVy5OUIEjIiIi1lEPjoiIiLhGPTgiIiIilaQCxyW2zJ0qD2+xJQ+wJxfl\n4S225AF25eIEFTgiIiJiHfXgiIiIiGvUgyMiIiJSSSpwXGLL3Kny8BZb8gB7clEe3mJLHmBXLk5Q\ngSMiIiLWUQ+OiIiIuEY9OCIiIiKVpALHJbbMnSoPb7ElD7AnF+XhLbbkAXbl4gQVOCIiImId9eCI\niIiIa9SDIyIiIlJJKnBcYsvcqfLwFlvyAHtyUR7eYkseYFcuTlCBIyIiItZRD46IiIi4Rj04IiIi\nIpX0/+3dfVxNeR4H8M+9qUFrbdQwmLZGJU/VvYmU2iXJM6WIGRUmMYMZa6bMemqNeRmxeWExs7KL\nKA/jaUgjpWYiD70owiRFGDNRUhuqW93v/tF0VipKmnPu2e/7H/fhd373+7n31T0/v/M75/IARyRy\nOXbKOaRFLjkA+WThHNIilxyAvLK0BB7gMMYYY0x2eA0OY4wxxkTDa3AYY4wxxhqJBzgikcuxU84h\nLXLJAcgnC+eQFrnkAOSVpSXwAIcxxhhjssNrcBhjjDEmGl6DwxhjjDHWSC0+wLlx4wacnJxgbW0N\nZ2dn5OTk1Gmj1Wrx4YcfwsLCAlZWVti6dWtLlyU6uRw75RzSIpccgHyycA5pkUsOQF5ZWkKLD3Bm\nzZqFuXPnIjMzEx988AFmzpxZp82uXbtw8+ZNZGdnIyUlBaGhobhz505Llyaq9PR0sUt4LTiHtMgl\nByCfLJxDWuSSA5BXlpbQogOc/Px8pKWlwdfXFwAwefJkXLx4EQ8fPqzVbs+ePQgMDAQAGBsbY/z4\n8di3b19Llia6oqIisUt4LTiHtMglByCfLJxDWuSSA5BXlpbQogOcu3fvomvXrlAoFNUvplSiS5cu\nuHv3bq12d+7cwR//+EfhvqmpaZ02jDHGGGONxYuMRZKbmyt2Ca8F55AWueQA5JOFc0iLXHIA8srS\nElr0NPH8/Hz06NEDDx8+hEKhgFarRceOHZGdnY2OHTsK7UaPHo3p06fDy8sLADB37lyYmZlhwYIF\ndQv+dTaIMcYYY/LQEkORVq+9x2eYmJjAzs4OUVFRePfddxEVFQW1Wl1rcAMAPj4+2LJlCzw9PVFQ\nUIDDhw8jOTm53j75GjiMMcYYe5kWv9Df9evX4e/vj6KiIhgZGSEyMhIWFhYYNWoUPv/8c6jVami1\nWsyZMwdxcXFQKBRYuHAhZsyY0ZJlMcYYY0zGdO5KxowxxhhjL8OLjFtYQUEBrl+/LnYZzXbp0iWk\npqaKXcZr8dNPP+HcuXNil8F+df36daSkpIhdBvtVUlIS4uPjxS7jtSgvL4dGoxG7jGbT9Rxi7Qd5\ngNOCNBoN4uPjMWPGDBw6dEjscl5ZSUkJUlJSMHXqVMTExIhdTrPl5uYiMDAQx48fF7uUZqmZfK2q\nqhK5kleXkZGBoUOHYsyYMYiLixO7nFf2448/YufOndi+fTvOnj0rdjnNYmBggFmzZun05wEAKSkp\n8PDwgL+/P44dOyZ2Oa9Eq9Xim2++gZubG6ZNm6aT37+i7geJtbgPPviAWrVqRT///LPYpTRLWloa\n2djY0KlTp8QupdmSk5NJpVJRXFyc2KU0WVFREZWWltK3335L8fHxFBISQsePHxe7rCa7evUqvfPO\nOxQREUFxcXFkZ2dHR48eFbusJqmsrKT9+/dThw4daN68eTR//nyytLTUuRw1tFotERGdP3+eVCoV\nnThxQuSKXk15eTnZ29vTkiVL6LvvviM7OzuKiYkRu6wmO378OFlbW1NERAQlJSWRjY0NxcfHi13W\nKxFjP9iiZ1H9vyIiEBGUSiUOHTqEkydPYuPGjejcubPYpTUaEUGhUKCyshJEBH19fdjZ2WHw4MG4\nfPkynJ2dxS7xlURHR2PIkCEYNGgQ5syZg6SkJLi7u4tdVqPk5eVh+/btuHTpEgwNDdG6dWsYGxsj\nLCwMmZmZGDJkCFq10p0/6YSEBJSUlOBPf/oTLCwssGbNGuzbtw9OTk4wMjISu7xGiY6ORkhICEaN\nGoV169YBACZMmICQkBCYm5ujV69eIlfYNDWX4XBwcMCwYcMwbNgwJCUlwdXVVeTKGker1eLcuXO4\nePEiOnXqBC8vL9jZ2aGiogJ79uyBu7s79PX1xS6z0Y4fPw5vb2/hpBs/Pz+cPXsWbm5uIlf2clLY\nD/IhqhaiVCpx+PBhzJ8/H59++ilmzpypk9fwadWqlfCFcPbsWdy/fx8GBgYiV9U0FRUVwm2NRgNX\nV1fs3bsXcXFxKC4uFrGypnnw4AE2bNiAPn36YMuWLQgPD8e5c+cQFBSEr776SicGNzVfekD19a5W\nrlyJqVOnIj8/H25ubggLC0P79u1FrrJx0tLS8P7772PkyJHo168fnJ2dkZubC2dnZ6xevRpvv/22\n2CW+FD13jkl2djaOHj0KGxsb3L17F5MmTUKPHj1Eqq7p9u3bh8DAQBARLC0tMWXKFJw6dQqHDx/G\nvXv3dO47+M0330RhYaFw/+bNmzqVQfT94G82V/R/ID8/Xzh8c+jQITIzM6OtW7eKXFXTHThwgAYO\nHEh+fn40ZswYGjZsGDk6OtLIkSPp3Xffpfz8fLFLbLTU1FTavHkzEf1v+t3X15c+/PBD8vf3p59+\n+knM8pps//791KNHD4qLi6Phw4eTp6cn3b9/X+yyGi0xMbHO38TEiRN1cto9LCyMwsLChPuff/55\nrftERFVVVb91Wa8kJyeH1q9fT7a2tjR+/HgKDg6m4uJi0mg0RFR9KE7qysvLyc3NjTZs2CA8Nnfu\nXPLz8yMvLy+6efOmiNU1Xl5eHh04cICIiMrKysjT05NCQ0PJ2dmZ2rZtS7du3RK3wJdoaD9Y8/1b\n8+9vQfr/5dMh5eXl+Oijj2Bra4uUlBQsXrwYAQEBYpfVZJaWlrh16xa6du2KDRs2ID8/H48fP0af\nPn1gaGiINm3aQKvVQqmU/gRg+/btsX79enTs2BE+Pj4AACMjI7i7u2PcuHEAqhfp6unpiVlmo1RU\nVMDLywtVVVXw9PSEWq1GbGys2GU1yVtvvYXZs2ejffv2mDBhAkpKSlBSUqKTZ4iUlpbWOtzx4MGD\nOm104W9k3rx5SEtLQ2VlJZYuXYoBAwaga9eutdrowt+HQqFAp06d0Lp1a+ExpVKJ3r17Izg4GABQ\nWVkp+ZnOiooKrF69Gk+ePMF7772HAwcOwNvbG3fv3sW+fftgZmYm6e/f+vaD/v7+wsyNQqHAd999\nh5iYGJSVlcHLywsjRoxomWJ+s6HU/4lLly6RsbExTZ48+aVtq6qqqLCw8Deoqulu3LhB9vb29M03\n39R57vkRuJRzEFUvZu3Xrx/97W9/o4CAADI2NqY7d+7U21bqWcrKymjgwIE0cOBAsrOzo7y8vHrb\nSTnHlStXyM7OjqZPn04TJkwglUpFBQUF9baVco5r166RSqWif/7zn7RkyRLq27cvnTt3rt62Us6R\nk5NDZ86cqTMTWN/sk5RzEBFlZGSQvb09bdq0iRYtWkR9+vSh1NTUettKOculS5eoZ8+e5OXlRePH\njycTExNKTEys9ZnUfA9LMUdD+8GSkhLauHEjdejQgdauXUtbt24lKyurFlvMzgOcFpCRkUHGxsZ0\n8ODBBttUVFTQsWPHyMHBQbJn8ly5coXs7e3p5MmTDbbRhRxERJmZmbRq1Sr6+OOPKSsri4jqfoHr\nQpbc3FwKCAgQbhcXF9dpows5cnJyKDIykrZt2ybsWHXx88jIyKC//OUvNHnyZDp16lS9gwJdyNEY\nupIjIyOD5syZQz4+PvTDDz/o7Gdy+/ZtiouLo6SkpDrLAmoGN1LOUbMfrDncRkS0adMmUqvVtQ5J\nr1y5klavXt0iNfAAp4VkZWU1+L/SiooKiomJoQULFpChoSGtXLlSssfqb9++TUVFRfU+p0s5nlez\npuDZLwpdyVJRUVHnMV3M8azn13joWo7nZzV1/fN4nq7lqKqqkt1nUlOjLuXIysoSBmfx8fFkZGRU\nZ73dpEmTaNWqVS3y+tI+GKnDLC0tAdRd31FZWYn4+HjExMQI61yGDh0qHE+lX0/PlgpTU1MAqHPM\nV9dyPE9PT6/WqfC6lOX5NQS6muNZuvw3AqBWPXL4PJ6lizmeX58ih8+kpkZdylGzHyQiJCYmIjg4\nuNYp7suWLcOFCxewefPmFnl9/i2q31BlZSUSEhKwY8cOdOrUCd26dYOhoSGCgoKENnl5eZK/Xo5c\ncgDyycI5pIVzSI9csuhqjnnz5sHY2BhLly4FACxduhQJCQlYs2YNBg4c2CIne0hzGbYMVVZWIjY2\nFrt374apqSnWrFmDnJwcWFlZQaPR4NChQ1i+fDm6desm6UukyyUHIJ8snENaOIf0yCWLLucICgrC\n7t278fHHH2PixImIjo7G2rVrMWDAAAC1Z3E1Gg0KCgqa/Zo8wPmNlJeX49ixYzAwMMDy5ctx8OBB\nxMXFoUOHDvDw8MCZM2eQkpICrVaLvLw8scttkFxyAPLJwjmkhXNIj1yy6HKO3r1748CBA+jRoweG\nDh2KCxcuoH///rUOqwHVl184cuQIXFxccPLkyea9aIus7GH1ysvLo/LyciIiWrZsGXXt2pVWrFhB\nGzdupOTkZDIxMal1EbTk5GSxSn0hueQgkk8WziEtnEN65JJFLjmI6p7s8fTpU9q/fz/NnTuXDA0N\n6R//+EezLgzIAxyRXLhwga5cuUJE1Vd3ffvtt2nNmjXC8126dCEPDw+xyms0ueQgkk8WziEtnEN6\n5JJFLjmIiEpLS+ngwYP0/vvv07Bhw8jGxoYyMzOF519loMMDHJHFxsZS586d6e9//7vwmFqtJldX\nV+G+LlwmXS45iOSThXNIC+eQHrlk0fUcNYMbb29vWrJkCa1du5Z27NhBRP8b2Ny+fbvJ/fIAR0QJ\nCQmkr69P69atEx6ztbWldu3a0aJFiygqKkrE6hpPLjmI5JOFc0gL55AeuWTR9RylpaW0e/dumjJl\ninAtn6lTp1Jqaio9evSIoqOjacGCBaRQKJr8m3U8wBHR9evXa/0QpLW1NY0aNYoyMjIoKyuLzM3N\naffu3SJX+XJyyUEknyycQ1o4h/TIJYuu5ygpKaEZM2bQJ598QkREW7ZsoV69etH58+fJ3t6eQkND\nycXFhRQKBR09erRJfeuFhoaGNnNxNHtFHTt2RL9+/UBEsLS0RFVVFU6fPo3OnTujY8eOKCsrQ1lZ\nGRwdHcUu9YXkkgOQTxbOIS2cQ3rkkkXXcxgYGMDJyQnjx48HAOzevRtXr17FH/7wB4wcORLm5uaI\niIhAdHQ0xowZg4KCApw/fx5mZmYv7ZtPE5eAW7duoX379vDz8xOuUpuZmYmIiAiYmJiIXF3jySUH\nIJ8snENaOIf0yCWLLucwNjYWbk+ZMgUJCQlYuHAhDAwMMH36dKxduxZjx45FYWEhTE1N8e9//7tx\nHb/GmSbWDPn5+TR8+HDavn07nThxgkaOHEl//etf6fHjx2KX1iRyyUEknyycQ1o4h/TIJYtcchAR\nRUZGkrGxMe3cuZOIiAoLC8nc3Jw8PT2FNi/77S3+qQYJSU9Px6JFi1BSUoJRo0bB29sb3bt3F7us\nJpNLDkA+WTiHtHAO6ZFLFjnk2LdvHyZNmoSoqCj4+vri4cOHUKvV0Gg0mDFjBrp3745p06a9tB8e\n4EhMeXk5tFot2rRpI3YpzSKXHIB8snAOaeEc0iOXLLqeIysrC5cvX4a3tzcePXqE3r17w8PDQ/gd\nKzc3N4SHhwvrdhrCAxzGGGOMSc6jR4/QvXt3mJqaIj09HVqtFkqlEp999hneeecdBAYGvnB7XmTM\nGGOMMckpKChA3759MXnyZACAUqnE+fPnsWfPHpiamr50e57BYYwxxpgkFRQUwNvbG/7+/mjdujW2\nbdsGV1dXfPLJJ3jjjTdeuC0PcBhjjDEmWenp6VixYgWKiorg6+uL4cOHo1u3bi/djgc4jDHGGJO0\niooKEBEMDAwavQ0PcBhjjDEmO7zImDHGGGOywwMcxhhjjMkOD3AYY4wxJjs8wGGMMcaY7PAAhzHG\nGGOywwMcxhhjjMkOD3AYk4DKykqEhobC2toaffv2hUqlwsSJE5GZmSl2afjll1/g5ubWrD62b98O\nHx8fAMCRI0cQEhLywvbff/89Tpw40azXfF1Gjx6NW7duNWmb77//Hg4ODvU+d+HCBUydOvV1lMYY\ne4FWYhfAGAMCAgJQVlaG1NRUtGvXDgAQGxuL69evw9raWtTa3nrrLSQkJDS7H4VCAQAYM2YMxowZ\n88K2SUlJePz4Mdzd3Zv9us119OjRV9quJu/z7O3tERkZ2ZySGGONwDM4jIksOzsbhw8fxr/+9S9h\ncAMAI0aMwLhx4wBUX8UzODgYjo6OUKlU8Pf3x9OnTwEA06ZNw+zZs+Hm5gYrKysEBAQIfTx48ABe\nXl6wtbWFra1trR2rubk5lixZAicnJ5iZmSE6Ohrr1q3DgAEDYGVlhVOnTgEAbt++DRMTE2G7M2fO\nwMXFBXZ2dlCpVIiPj6+TqaKiAkFBQbCysoKzszPOnz8vPPfsbE5WVhacnJygUqlgY2OD8PBwXLly\nBV999RUiIyOhVqsRFhaGqqoqDB8+HP3790ffvn0xY8YMVFZWCv15eHjA19cXffr0gYuLCx48eCC8\n3sqVK2FjYwM7OzsMGjRIeHzHjh1wdHSEg4MDhg4dihs3btT7+Zibm+PatWsAgMGDByM4OBguLi6w\nsLDAZ5991uDnqtFo4O/vjz59+sDR0VGYjXt2dqfmvV28eDHUajV69uyJlJQUAEB+fj7c3d2Fz27B\nggUNvhZjrB7EGBPV3r17SaVSvbDNihUr6IsvvhDuh4SE0OLFi4mIKCAggFxcXEij0ZBGo6HevXtT\nfHw8ERFNmjSJli5dSkREv/zyC3Xp0oWuXr1KRERmZmYUHBxMRESpqalkaGhImzdvFmoaNGgQERHl\n5uaSiYkJEREVFhZS586d6ezZs0REpNVqqaioqE69GzZsIA8PD6qqqqKnT59Sv379yMfHh4iItm3b\nJtz+6KOP6MsvvxS2q+krNDSUPv3001p9FhYWCrf9/Pzo66+/Fvrr0KED3bt3j4iIAgMDhfdm27Zt\n5OTkRE+ePKnVR3JyMo0aNYo0Gg0REcXGxpKzs3O9772ZmZnwnv35z38mX19fIiIqLi4mY2Njys7O\nrrNNUlISKRQKSk5OJiKi7du3U79+/YTnHBwchPdWoVDQsWPHiIho165dQh1r166lWbNm1XlvGGON\nwzM4jEnMjz/+CJVKhR49emD+/PkAgG+//RY7d+6ESqWCSqXCkSNHcPPmTWGb8ePHQ19fH/r6+lCr\n1cjJyQEAxMfHIygoCADQuXNnjBw5EomJicJ2kyZNAgCo1WqUlpZi4sSJAKoPo9T08awzZ86gd+/e\nGDBgAIDqwzDt27ev0y4xMRH+/v5QKpVo06YN3nvvvXqzurq6IiIiAkuXLkViYmK9fQGAVqtFWFiY\nMNOTmJiI9PR04XlnZ2d06dIFAODo6CjUHhMTg9mzZ6Nt27YAACMjIwDV64AuX76MAQMGQKVSYeHC\nhbh37169r/28mtmn3//+9+jZs2e97xMAWFpaCjNGU6dORUZGBh4/flynXbt27TBixAih9prP1dHR\nEbGxsQgJCUFMTAwMDQ0bVR9jrBoPcBgTmUqlwo0bN/Cf//wHANCzZ0+kpaVh3rx5KC4uBgAQETZt\n2oS0tDSkpaXh6tWr2LVrl9BH69athdt6enrC4ZuXqdlOqVTWut+UPprDy8sLycnJsLCwwJdfftng\n4tuoqCikpKTg9OnTuHz5MmbPno2ysjLh+abmJyJMnz4dFy9eRFpaGtLT0xu9kPhV3+uG1uS88cYb\n9fbn6OiItLQ0Yc3O4MGDG/U6jLFqPMBhTGQWFhYYN24cAgMDhUEOADx58kS4PXbsWISHhws79ceP\nHzfqDCt3d3ds2bIFAJCXl4fY2NgGz4ii535399n7NbcHDhyIa9eu4dy5cwCqZ1aKiorq9DVkyBBE\nRkaiqqoKpaWliIqKqvc1c3Jy0KlTJ/j5+WHZsmVITU0FUD07UjO4A4CioiIYGxujbdu2KC4ubrC/\n540ePRqbN28WZk4KCwsBVC903rFjhzBro9VqcfHixUb12VjZ2dk4ffo0AGDXrl3o27cvfve739Vp\n19D7npubi3bt2mHixIkIDw9/7fUxJnd8FhVjErBt2zYsX74cDg4OMDAwgJGREbp06YKFCxcCABYu\nXIjQ0FA4ODhAqVRCqVRi2bJlsLa2rjMz8Oz9devWISgoCLa2tgCAVatWCWdlvWi75+/X3DYyMsKB\nAwcwf/58PHnyBHp6elizZg2GDBlSa9uZM2fi8uXL6NmzJ0xMTNC/f3/cv3+/Tu69e/di165dMDAw\ngFKpxPr16wEAnp6e8PT0hFqthq+vL2bPno3Dhw+jV69eePPNN+Hq6orS0tKXvq9+fn74+eefnM/o\naAAAAK9JREFU4ejoCH19fbRr1w4//PADXFxc8MUXX2Ds2LHQarXQaDTw8fGBWq2u00d970ND959l\nY2ODiIgIzJo1C4aGhtixY0e97RrqMykpCeHh4dDT0wMR4euvv35pXsbY/yjo+f8+MMYYY4zpOD5E\nxRhjjDHZ4QEOY4wxxmSHBziMMcYYkx0e4DDGGGNMdniAwxhjjDHZ4QEOY4wxxmSHBziMMcYYkx0e\n4DDGGGNMdv4LejZjLdAc4j8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff66f6d2210>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## this part is to \"tune\" the plot ##\n",
    "plt.figure(figsize=(9, 6))\n",
    "axe = plt.subplot()\n",
    "axe.grid()\n",
    "axe.set_xticks(range(0, 55, 5))\n",
    "axe.set_xticklabels(['%d Mb' % int(i * 0.2) if i else '' for i in range(0, 55, 5)], rotation=-45)\n",
    "#####################################\n",
    "\n",
    "_ = correlate_matrices(hic_data1, hic_data2, max_dist=50, show=False, axe=axe)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "hic_data1 = my_load_hic_data(renz1, rep1, 1000000)\n",
    "hic_data2 = my_load_hic_data(renz2, rep2, 1000000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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f56Cs43yR7wKFQoHMzEwIIfDkyRPk5eVxVnKqEWpcYgQA7733Hlq2bImZM2dKd3GfPXs2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\n1dMDoYQbgwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff7979ac950>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.991 0.005 0.007 0.005 0.010 0.005\n",
      "\n",
      "0.006 0.973 0.136 0.037 0.059 0.020\n",
      "\n",
      "0.005 0.139 0.959 0.153 0.032 0.068\n",
      "\n",
      "0.001 0.013 0.159 0.968 0.038 0.004\n",
      "\n",
      "0.009 0.064 0.022 0.040 0.974 0.086\n",
      "\n",
      "0.012 0.008 0.042 0.029 0.081 0.674\n",
      "\n"
     ]
    }
   ],
   "source": [
    "corrs = eig_correlate_matrices(hic_data1, hic_data2, show=True, aspect='auto', normalized=True)\n",
    "\n",
    "for cor in corrs:\n",
    "    print ' '.join(['%5.3f' % (c) for c in cor]) + '\\n'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## Between replicates with different restriction enzymes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "### T0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "renz1 = 'HindIII'\n",
    "renz2 = 'NcoI'\n",
    "rep1  = 'T0'\n",
    "rep2  = 'T0'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "hic_data1 = my_load_hic_data(renz1, rep1, reso)\n",
    "hic_data2 = my_load_hic_data(renz2, rep2, reso)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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AysN7bMlFeXiLLXmAXbk4QQWO1xxTosDZ9h0UHHIvFhERkSilHhyvCQTgm0sgp3DTzbTH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\nnAAAAAVJREFUC0331B+K9YCDAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff799f68d50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## this part is to \"tune\" the plot ##\n",
    "plt.figure(figsize=(9, 6))\n",
    "axe = plt.subplot()\n",
    "axe.grid()\n",
    "axe.set_xticks(range(0, 55, 5))\n",
    "axe.set_xticklabels(['%d Mb' % int(i * 0.2) if i else '' for i in range(0, 55, 5)], rotation=-45)\n",
    "#####################################\n",
    "\n",
    "_ = correlate_matrices(hic_data1, hic_data2, max_dist=50, show=False, axe=axe)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "hic_data1 = my_load_hic_data(renz1, rep1, 1000000)\n",
    "hic_data2 = my_load_hic_data(renz2, rep2, 1000000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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qKmxsbDBjxgyTx8xKExERESmZOEOIjIxEdHQ0wsPDsX79ekycOBE7d+6ssE5i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\nHgUFBemJJ56wOhaKsWPHDm3btk1bt25VfHy8mjZ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gOo0fP16SdNttt2nz5s2qV6+eJGnK\nlCmKioqyMprnVKGr3jyFThMAAKWUnp5eqLNUp04dnTlT3cekVV10mgAAKKXevXvr/vvv16OPPipJ\nWrJkiXr27GlxKg+h0+SEogkAgFJ66623tGDBAq1atUqS1L9/f40dO9biVCgrTDlQYTDlAFMOSEw5\nIKYckJhygCkHLGcYhpTqwe+gnVElvlPGNAEAUErvvvuu1RFQjjg9BwBAKf3yyy9WRyg7eVYHqHgq\nzOm5X8zGVsew1C3GFKsjVAA9rA5guf8xN1gdwXIvGzdbHcF6HSdbncBau6rGqZzKzDAM6ScPfgcd\nqsZ3SqcJAAA4o9PkhDFNAAAAbqDTBAAAnNFpckKnCQAAwA0UTQAAlNIf//hHrV692un1NWvWaOLE\niRYk8qBLHlyqCIomAABKqU6dOpo8ebI++eSTQq/fe++9WrdunUWpKof9+/crMjJSwcHB6tGjh9LS\n0py2efnll9WxY0eFhYUpIiJCiYmJTtukpqbqD3/4g5599tkyz0zRBABAKfn4+Gjt2rV69tln9eGH\nHzper1GjhurWrWthMg/I9+DiQkxMjCZNmqS9e/dq/PjxLm8/c+uttyopKUnff/+93nvvPT388MO6\nePGiY31BQYFiYmI0cOBAz3zmElA0AQBQSqZpKjAwUOvXr9esWbM0a9YsZWRk6F//+pcaNGhgdbwK\nKz09XSkpKRoyZIgkaejQoUpOTtaZM4VvIXT33Xc7is/Q0FBJKrTNnDlzdP/996tt27blkpuiCQCA\nUrp871TJ399fmzZt0o8//ihfX189+eSTeuONNyxOd4PyPLgUcfToUfn6+jr+fl5eXmrevLmOHj1a\nbJwlS5aodevWat68uSRp586dSkxM1FNPPeWBD+sephwAAKCUrh635OPjo48//tjCNBVIykbp+40e\nO9zXX3+tmTNnau3atZKkvLw8jRs3TosXL3YUXuWBogkAgFJq0qSJ1RHKzo3M09Sp1+XlisWzCq32\n9/fX8ePHZZqmDMNQQUGBTpw4IX9/f6dDffvttxoxYoQ+//xztWnTRtLle/4dPHhQ/fr1k2mayszM\nlCT99ttvmj9//g0EvzaKJgAAUK58fHwUFham+Ph4DR8+XPHx8bLb7fL29i603fbt2zVkyBB9/PHH\nstlsjtf9/f116tQpx/NZs2YpOztb//u//1umuRnTBAAAnJXhmCZJmjdvnubOnavg4GC9/fbbevfd\ndyVJ0dHRSk5OliRNmDBBFy5c0Lhx4xQeHi673a6ffvqpbD6vGwyzAtx22DAM/WI2tjqGpW4xplgd\noQLoYXUAy/2PucHqCJZ72bjZ6gjW6zjZ6gTW2mWoAvw0VWuGYUhfevA7uLdqfKecngMAAM6495wT\nTs8BAAC4gU4TAABwRqfJCZ0mAAAAN9BpAgAAzug0OaHTBAAA4AY6TQAAwNklqwNUPHSaAAAA3ECn\nCQAAOMu3OkDFQ6cJAADADXSaAACAM66ec0KnCQAAwA10mgAAgDM6TU7oNAEAALiBogkAAMANnJ4D\nAADOOD3nhE4TAACAG+g0AQAAZ3SanNBpAgAAcAOdJgAA4IxOkxM6TQAAAG6g0wQAAJzRaXJCpwkA\nAMANdJoAAICzS1YHqHjKtNOUkZGh6OhotW/fXjabTYMGDdKZM2fK8i0BAFVQcb8nhw8fVnh4uOx2\nu+x2uwICAtSsWTPHfvv371dkZKSCg4PVo0cPpaWluTz+4sWLZbPZFB4eLpvNprlz55bXR0MlUqZF\nk2EYio2N1Z49e7Rz504FBgYqNja2LN8SAFAFFfd70rJlS6WkpCg5OVnJyckaMGCAhg0b5tgvJiZG\nkyZN0t69ezV+/HiNHTvW5fEHDRqknTt3KiUlRVu2bNH/+3//T7t27Sqvj1cx5XtwqSLKtGhq0qSJ\n7rjjDsfzbt266ciRI2X5lgCAKsid35NLly4pLi5Oo0ePliSlp6crJSVFQ4YMkSQNHTpUycnJLs94\nNGjQwPE4KytLeXl5MgyjLD4KKrFyGwhumqbmzZun/v37l9dbAgCqoOJ+Tz777DP5+fkpLCxMknT0\n6FH5+vo6ih8vLy81b95cR48edXnchIQEdezYUQEBAZo2bZo6dOhQth+kosvz4FJFlFvRNHHiRDVs\n2FATJkwor7cEAFRBxf2evP/++44uU2ncf//92rVrl/bt26elS5dq//79NxoVVUy5FE3Tpk1TWlqa\nVqxYUR5vBwCooor7PTlx4oQ2bdqk4cOHO17z9/fX8ePHZZqmJKmgoEAnTpyQv7//Nd/Dz89PXbt2\n1erVqz3/ASoTOk1Oyrxomj59upKTk/Xpp5+qZk1mOAAAlM61fk8WL16s6OhoNWnSxPGaj4+PwsLC\nFB8fL0mKj4+X3W6Xt7e307H37t3reHz69Glt2LBBnTp1KqNPgsqqTKuY3bt369VXX1VQUJC6d+8u\nSQoMDNTKlSvL8m0BAFVMSb8nS5cudTlNwLx58/TYY4/ppZdeUpMmTbR06VLHuujoaL300kuy2+1a\nsGCBEhMTVbt2bZmmqcmTJysqKqp8PlxFVYU6RJ5imFf6llaGMAz9Yja2OoalbjGmWB2hAuhhdQDL\n/Y+5weoIlnvZuNnqCNbrONnqBNbaZagC/DRVa4ZhSM958Dt4pWp8p5wvAwAAzpgR3An3ngMAAHAD\nnSYAAOCsCs3k7Sl0mgAAANxApwkAADjj6jkndJoAAADcQKcJAAA4o9PkhE4TAACAG+g0AQAAZ8zT\n5IROEwAAgBvoNAEAAGfM0+SEThMAAIAb6DQBAABnXD3nhE4TAAAod/v371dkZKSCg4PVo0cPpaWl\nOW3z1VdfKSIiQnXr1tWzzz7rtH7FihUKDQ1Vp06dZLPZlJ6eXqaZ6TQBAABnZdxpiomJ0aRJkzR0\n6FDFxcVp7NixWrduXaFtWrdurffee08ff/yxLly4UGhdUlKSXnzxRW3YsEE+Pj46f/686tSpU6aZ\n6TQBAIBylZ6erpSUFA0ZMkSSNHToUCUnJ+vMmTOFtgsMDFRoaKhq1KjhdIw33nhDU6dOlY+PjySp\nYcOGql27dpnmpmgCAADOLnlwKeLo0aPy9fWVYRiSJC8vLzVv3lxHjx51O97u3buVlpamnj17qkuX\nLvrrX/9aus95HTg9BwAAKp38/Hz9+OOPWrdunS5cuKA+ffqoZcuWeuSRR8rsPSmaAACAsxuZpyl9\no3R6Y7Gr/f39dfz4cZmmKcMwVFBQoBMnTsjf39/tt2jRooUGDRqkmjVrqkGDBurfv7++++67Mi2a\nOD0HAAA8y6eX1P6F/y5FV/v4KCwsTPHx8ZKk+Ph42e12eXt7F3tI0zQLPR82bJgSExMlSZcuXdK6\ndetks9k89AFco2gCAADO8jy4uDBv3jzNnTtXwcHBevvtt/Xuu+9KkqKjo5WcnCxJ2rx5s/z9/fX6\n669rwYIFatGihb766itJ0pAhQ+Tj46OQkBDZ7XZ16tRJjz/+eBn8If7LMIuWbhYwDEO/mI2tjmGp\nW4wpVkeoAHpYHcBy/2NusDqC5V42brY6gvU6TrY6gbV2GU5dBZQvwzCk+z34HSRUje+UMU0AAMAZ\nM4I74fQcAACAG+g0AQAAZy7mV6ru6DQBAAC4gU4TAABwdiPzNFVRdJoAAADcQKcJAAA44+o5E0y5\nVAAAEfZJREFUJ3SaAAAA3ECnCQAAOKPT5IROEwAAgBvoNAEAAGfM0+SEThMAAIAb6DQBAABnzNPk\nhE4TAACAG+g0AQAAZ1w954ROEwAAgBvoNAEAAGd0mpwYpmmalocwDJlvWJ3CWsZUy78G6+X93eoE\nFcATVgewXpv6View3oGNViewWG9VgJ+mas0wDKm9B7+DPUaV+E7pNAEAAGfM0+SEMU0AAABuoNME\nAACcMU+TEzpNAAAAbqDTBAAAnHH1nBM6TQAAAG6g0wQAAJzRaXJCpwkAAMANdJoAAIAz5mlyQqcJ\nAADADXSaAACAM+ZpckKnCQAAwA10mgAAgDOunnNCpwkAAMANdJoAAIAzOk1O6DQBAAC4gU4TAABw\nxjxNTug0AQAAuIFOEwAAcMY8TU7oNAEAALiBThMAAHBmWh2g4qHTBAAA4AaKJgAAADdQNAEAALiB\nogkAAMANFE0AAABuoGgCAABwA0UTAACAGyiaAAAA3EDRBAAAXLjkwcXZ/v37FRkZqeDgYPXo0UNp\naWlO2xQUFGjChAlq06aNgoKC9N577znWpaen67777pPNZlOHDh00ceJEFRQUeOizu0bRBAAAyl1M\nTIwmTZqkvXv3avz48Ro7dqzTNnFxcTp48KAOHDigLVu26IUXXtCRI0ckSbNnz1ZISIh27typH374\nQUlJSVq1alWZZqZoAgAALuR5cCksPT1dKSkpGjJkiCRp6NChSk5O1pkzZwpt989//lNjxoyRJDVr\n1kwDBgzQRx99JEkyDEPnz5+XaZr6/fffdenSJfn6+nr0L1AURRMAAChXR48ela+vrwzDkCR5eXmp\nefPmOnr0aKHtjhw5opYtWzqet2jRwrHNjBkzlJqaqltuuUXNmzfXvffeq+7du5dpbm7YCwAAXHA9\nFsk930j6j6eCuLRixQrZbDatX79e58+fV58+fbRq1So9+OCDZfaedJoAAICH3S7puauWwvz9/XX8\n+HGZpinp8oDvEydOyN/fv9B2LVq00OHDhx3Pjxw54tjmrbfe0vDhwyVJDRs2VP/+/bVhw4Yy+TRX\nUDQBAAAXym5Mk4+Pj8LCwhQfHy9Jio+Pl91ul7e3d6HtBg8erIULF8o0TaWnp+uzzz7T4MGDJUmB\ngYH697//LUnKzc3V2rVr1bFjR4/+BYqiaAIAAOVu3rx5mjt3roKDg/X222/r3XfflSRFR0crOTlZ\nkvToo48qICBAbdu2VWRkpGbOnKkWLVpIkl5//XVt2rRJNptNdrtdwcHBjkHjZcUwr/TGysC0adO0\ncuVKHTp0SLt27VJISIjrEIYh842ySlE5GFPL7GuoPPL+bnWCCuAJqwNYr019qxNY78BGqxNYrLdc\n/TQNHDhQhw4dkmEYatiwof7+97/LZrM51s+aNUuzZs1y+XtzrXXS5dNDkyZN0pdffikvLy/Fxsbq\n8ccf9/xHqyQuD9A+6cEj3uzyO61synQg+MCBAzVlyhTdfvvtZfk2AIBqYOnSpWrYsKEk6fPPP9fo\n0aO1Y8cOSVJKSoq2bdumVq1aOe13rXVXXD0f0OnTpxUeHq67777b0dUApDI+PRcZGSlfX98qUV0C\nAKx1pWCSpMzMTNWoUUOSdPHiRU2YMEHz5893+r3Jzc0tdt3VrjUfUPVVtjOCV0ZMOQAAqDTGjBmj\nxMRESXIMAp45c6ZGjBjhsiv0/PPPF7vuateaDwi4goHgAIBKY+HChTp8+LBmz56tqVOnauvWrUpK\nSlJMTIzTttdaB3eU3dVzlRVFEwCg0hk+fLg2bNigDRs2aO/evQoMDFRAQICOHTume++9V2vXrtXX\nX39d7LqirjUfEHAFRRMAoMLLzs7WsWPHHM8TEhLk7e2t5557TseOHdPBgwf1888/y8/PT4mJiYqK\nilJsbGyx64pyNR/QoEGDyvMjVkCMaSqqTMc0Pfnkk1q1apV+/fVXRUVFydvbWz/++GNZviUAoArK\nzs7W4MGDlZOTIy8vL3l7eyshIcFpO8Mwih3wXXRddHS0XnrpJdntdj366KPatm2b2rZtK8MwNHPm\nzEJjnACpjOdpcjsE8zQxT5PEPE2SmKdJzNMkMU9TMfM0ofxcnqdptwePGFIlvlNOzwEAALiBKQcA\nAIALVWcskqfQaQIAAHADnSYAAOBC1ZlfyVPoNAEAALiBThMAAHCBMU1F0WkCAABwA50mAADgAmOa\niqLTBAAA4AY6TQAAwAXGNBVFpwkAAMANdJoAAIALjGkqik4TAACAG+g0AQAAFxjTVBSdJgAAADfQ\naQIAAC4wpqkoOk0AAABuoNMEAABcYExTUXSaAAAA3ECnCQAAuECnqSg6TQAAAG6g0wQAAFzg6rmi\n6DQBAAC4gU4TAABwgTFNRdFpAgAAcAOdJgAA4AJjmoqi0wQAAOAGOk0AAMAFxjQVRacJAADADXSa\nAACAC4xpKopOEwAAgBvoNAEAABcY01QUnSYAAAA30GkCAAAuMKapKDpNAAAAbqDTBAAAXGBMU1F0\nmgAAANxApwkAALjAmKai6DQBAAC4wTBN07Q8hGFYHQEAUIFUgJ+maq1Vq1Y6fPiwx47XsmVLHTp0\nyGPHs0qFKJoAAAAqOk7PAQAAuIGiCQAAwA0UTQAAAG6o1kXTtGnTFBgYKC8vL+3evdvqOJbIyMhQ\ndHS02rdvL5vNpkGDBunMmTNWxyp3AwcOVHh4uOx2u3r27KmdO3daHckSs2bNqrb/PbRq1UohISGO\nfwdfffWV1ZHK3cWLFzV+/HgFBQXJZrMpJibG6khAhVKt52kaOHCgpkyZottvv93qKJYxDEOxsbG6\n4447JEnPPvusYmNj9Y9//MPiZOVr6dKlatiwoSTp888/1+jRo7Vjxw6LU5WvlJQUbdu2Ta1atbI6\niiW8vLy0cuVKtW/f3uoolpk2bZrq1aunffv2SZLS09MtTgRULNW6aIqMjJRUvS9tbdKkiaNgkqRu\n3bpp/vz5FiayxpWCSZIyMzNVo0YNC9OUv9zcXE2YMEEffvihevbsaXUcS5imWa3/X5Cdna1ly5bp\n+PHjjtd8fHwsTARUPNX69BwKM01T8+bNU//+/a2OYokxY8aoZcuWmjFjhpYsWWJ1nHL1/PPPa8SI\nEWrRooXVUSw1dOhQ2Ww2TZw4UefOnbM6TrlKS0uTt7e3XnjhBUVEROjOO+/U5s2brY4FVCgUTXCY\nOHGiGjZsqAkTJlgdxRILFy7U4cOHNXv2bE2dOtXqOOVm69atSkpKqvbjV/7zn/9o586dSkpKUkFB\ngSZOnGh1pHKVn5+vgwcPqnPnztq+fbvmzJmjBx98UFlZWVZHAyoMiiZIujyWIS0tTStWrLA6iuWG\nDx+uDRs26OzZs1ZHKRdff/219u7dq8DAQAUEBOjYsWO69957tXbtWqujlStfX19JUq1atTR+/Hht\n2bLF4kTlq0WLFqpVq5YefvhhSVLXrl3VrFkzx/gmABRNkDR9+nQlJyfr008/Vc2a1W+YW3Z2to4d\nO+Z4npCQIG9vbzVp0sTCVOUnNjZWx44d08GDB/Xzzz/Lz89PiYmJioqKsjpaucnJydFvv/3meP7B\nBx8oLCzMwkTlz9vbW71793ZcNbhv3z6lp6erTZs2FicDKo7q9wt5lSeffFKrVq3Sr7/+qqioKHl7\ne+vHH3+0Ola52r17t1599VUFBQWpe/fukqTAwECtXLnS4mTlJzs7W4MHD1ZOTo68vLzk7e2thIQE\nq2NZxjCMajcg+tdff9VDDz2kgoIC5efnKyQkRO+8847VscrdvHnzNHr0aD3zzDOqXbu2li9frkaN\nGlkdC6gwuPccAACAGzg9BwAA4AaKJgAAADdQNAEAALiBogkAAMANFE0AAABuoGgCAABwA0UTKo1W\nrVopJCREdrtd4eHhstvtOnLkiCTJbrfr4sWLZZ7hu+++k5+fn9M8RosXL9Zdd91V6uPOmjVLeXl5\nNxqvwoiLi5PNZlOtWrWq5XxHAKom5mlCpREQEKA1a9aoffv2luYIDQ3V3/72N91zzz2O13r16qWx\nY8dq2LBhpTqml5eXsrKyVL9+/evaLz8/XzVq1CjVe5al3bt3y8vLS3PmzFHXrl01fvx4qyMBwA2j\n04RKpbga38vLSzk5OZKkb775RqGhoQoLC9OUKVPUqlUr7d69W9LlW0P069dPt956q8LDw7V48eJC\nx3jllVfUtWtXtWnTRp988onL9xo5cqQWLVrkeJ6WlqYffvhBDz30kKTL3ag777xTERERioiI0Jo1\naxzbrl69WhEREQoLC1Pnzp21a9cux41hIyMjZbfb9dtvv+nUqVN68MEHZbPZZLPZtGzZMscxAgIC\n9Nxzz+nWW29VTEyM9u3bp8jISIWHhys0NFSvvfaay9zF5dq0aZOCgoJ0/vx5SdKoUaM0ffp0x+Ox\nY8eqR48eCg4O1rhx49zqiIWEhCg4OFiGYZS4LQBUGiZQSbRq1cps3769GR4eboaFhZkRERGOdV5e\nXmZ2drZ58eJF08/Pz9y8ebNpmqb5ySefmF5eXuZPP/1k5uXlmZ07dzZTU1NN0zTN8+fPm+3atXM8\nNwzDfOedd0zTNM3Nmzebvr6+LnOcOnXKbNSokZmZmWmapmnOmDHDjImJMU3TNDMzM83w8HDz5MmT\npmma5i+//GL6+fmZ586dM1NTU82bb77ZTEtLM03TNHNzc82srCzHe+fk5Dje4+GHHzaff/55xzGa\nN29u/vTTT46/w4QJExzbPvnkk+acOXMcz6/kutq1cpmmab788svmoEGDzKVLl5q33XabWVBQYJqm\naY4cOdK02WxmTk6OmZ+fb95zzz3m22+/XfyXVMTIkSOva3sAqMiq9b3nUPmsXLnymqfnUlNTVb9+\nfUVGRkqSBgwYoMaNG0u63GXas2ePhgwZ4uhY5ebmas+ePQoKCpIkxx3eu3Xrpl9++UW5ubmqXbt2\noffw8fFRVFSU4uPjFRMToyVLljju1bdlyxb9/PPP6tu3r+M9atSooQMHDmjr1q2Kjo5WYGCgJKlW\nrVqqVauW47jmVV20tWvXOjpGN998s/r166cNGzYoJCREkjRixAjHtnfccYdiY2OVnZ2t3r17q3fv\n3k5/l2vlstvtmj59uqKiojR16lQlJycX6hA9/PDDqlevniTpscce06pVqzjdBqBaomhCpWLewBA8\n0zTl4+Oj5ORkl+sNw1DdunUlXT5VJ0l5eXlORZN0+bTVrFmz1LZtWzVu3FhdunRxvIfNZtPGjRud\n9tm6davbWUs6rdWgQQPH4wcffFCRkZFKTEzUnDlztGjRokKn80rKJUnnzp3TkSNHVKdOHZ0+fVq+\nvr5uZwWA6oIxTagSrhRT7dq1U05Ojr799ltJ0meffaZz58451tWvX1/Lly937JeamqqsrKxCxyh6\nTFf69u2r48ePa/r06Ro1apTj9cjISO3fv79QcZKUlCRJuueee7RmzRqlpaVJutzlys7OliQ1atTI\nkVOSoqKitHDhQknSyZMn9cUXXxR7dV5aWppuuukmjRgxQjNnztT27dudtrlWLum/Y5eWLFmiIUOG\nOHJJ0kcffaTff/9deXl5WrZsme68885i/y6u3EihCwAVijVnBYHrFxAQUGhMU3h4uLljxw7TNP87\npsk0TXPTpk1mp06dTJvNZk6ePNm8+eabzWPHjpmmaZoHDhwwo6OjTZvNZnbo0MG86667zDNnzjgd\nw9XzomJjY806deqY6enphV5PSkoye/XqZYaFhZnt27c377vvPse61atXm3a73bTZbGbnzp3NXbt2\nmaZpmi+++KLZrl07Mzw83Dx37pz566+/mgMGDDBDQ0PN0NBQc/ny5YX+DlfGN5mmac6ePdvs0KGD\nGR4ebnbu3Nn88ssvXeYtLtcbb7xh9u3b17Hd888/bw4bNsw0zctjksaOHWv26NHDDAoKMseNG2de\nunTJNE3TnD9/vjlz5kyX7/XBBx+Yfn5+ZoMGDcymTZua/v7+5p49e4r9WwJAZcCUA6hysrKyHKev\nNm7cqFGjRunnn3+2OFXlNGrUKEVERDCGCQDEmCZUQStXrtTrr7+ugoIC1atXTx988IHVkSotpgwA\ngP+i0wQAAOAGBoIDAAC4gaIJAADADRRNAAAAbqBoAgAAcANFEwAAgBv+P2K0ijRyIu9iAAAAAElF\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff79793bd50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.572 0.104 0.019 0.084 0.127 0.048\n",
      "\n",
      "0.479 0.006 0.045 0.382 0.018 0.133\n",
      "\n",
      "0.043 0.061 0.039 0.090 0.147 0.076\n",
      "\n",
      "0.022 0.120 0.754 0.298 0.079 0.027\n",
      "\n",
      "0.106 0.005 0.137 0.059 0.057 0.082\n",
      "\n",
      "0.011 0.240 0.182 0.271 0.120 0.104\n",
      "\n"
     ]
    }
   ],
   "source": [
    "corrs = eig_correlate_matrices(hic_data1, hic_data2, show=True, aspect='auto', normalized=True)\n",
    "\n",
    "for cor in corrs:\n",
    "    print ' '.join(['%5.3f' % (c) for c in cor]) + '\\n'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "### T60"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "renz1 = 'HindIII'\n",
    "renz2 = 'NcoI'\n",
    "rep1  = 'T60'\n",
    "rep2  = 'T60'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "hic_data1 = my_load_hic_data(renz1, rep1, reso)\n",
    "hic_data2 = my_load_hic_data(renz2, rep2, reso)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ZnBAT6gnJyclMmzaNiy66iISEBD799FMaN24cidrEaxomwKlPwIKbIFAI+1fD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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff66fa633d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## this part is to \"tune\" the plot ##\n",
    "plt.figure(figsize=(9, 6))\n",
    "axe = plt.subplot()\n",
    "axe.grid()\n",
    "axe.set_xticks(range(0, 55, 5))\n",
    "axe.set_xticklabels(['%d Mb' % int(i * 0.2) if i else '' for i in range(0, 55, 5)], rotation=-45)\n",
    "#####################################\n",
    "\n",
    "_ = correlate_matrices(hic_data1, hic_data2, max_dist=50, show=False, axe=axe)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "hic_data1 = my_load_hic_data(renz1, rep1, 1000000)\n",
    "hic_data2 = my_load_hic_data(renz2, rep2, 1000000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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BwIkTJzBgwAAAQOvWreHt7Y1t27bp8Qxqr6pr0KpVK/Tq1UteFxAQgKtXrwIALl68iLZt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\n8Bs/ewAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff66fa788d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.188 0.133 0.126 0.002 0.294 0.480\n",
      "\n",
      "0.829 0.345 0.145 0.082 0.042 0.003\n",
      "\n",
      "0.011 0.491 0.322 0.333 0.081 0.141\n",
      "\n",
      "0.119 0.211 0.602 0.501 0.281 0.065\n",
      "\n",
      "0.286 0.660 0.443 0.144 0.015 0.188\n",
      "\n",
      "0.126 0.131 0.028 0.552 0.312 0.036\n",
      "\n"
     ]
    }
   ],
   "source": [
    "corrs = eig_correlate_matrices(hic_data1, hic_data2, show=True, aspect='auto', normalized=True)\n",
    "\n",
    "for cor in corrs:\n",
    "    print ' '.join(['%5.3f' % (c) for c in cor]) + '\\n'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# Merge Hi-C experiments"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "Once agreed that experiments are similar, they can be merged.\n",
    "\n",
    "Here is a simple way to merge valid pairs. Arguably we may want to merge unfiltered data but the difference would be minimal specially with non-replicates."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "from pytadbit.mapping import merge_2d_beds"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "! mkdir -p results/fragment/both_T0/\n",
    "! mkdir -p results/fragment/both_T60/\n",
    "! mkdir -p results/fragment/both_T0/03_filtering/\n",
    "! mkdir -p results/fragment/both_T60/03_filtering/"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "13646392"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "renz1 = 'HindIII'\n",
    "renz2 = 'NcoI'\n",
    "rep   = 'T60'\n",
    "\n",
    "hic_data1 = 'results/fragment/{0}_{1}/03_filtering/valid_reads12_{0}_{1}.tsv'.format(renz1, rep)\n",
    "hic_data2 = 'results/fragment/{0}_{1}/03_filtering/valid_reads12_{0}_{1}.tsv'.format(renz2, rep)\n",
    "hic_data  = 'results/fragment/both_{0}/03_filtering/valid_reads12_{0}.tsv'.format(rep)\n",
    "\n",
    "merge_2d_beds(hic_data1, hic_data2, hic_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "14830146"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "renz1 = 'HindIII'\n",
    "renz2 = 'NcoI'\n",
    "rep   = 'T0'\n",
    "\n",
    "hic_data1 = 'results/fragment/{0}_{1}/03_filtering/valid_reads12_{0}_{1}.tsv'.format(renz1, rep)\n",
    "hic_data2 = 'results/fragment/{0}_{1}/03_filtering/valid_reads12_{0}_{1}.tsv'.format(renz2, rep)\n",
    "hic_data  = 'results/fragment/both_{0}/03_filtering/valid_reads12_{0}.tsv'.format(rep)\n",
    "\n",
    "merge_2d_beds(hic_data1, hic_data2, hic_data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## Normalizing merged data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "from pytadbit.mapping.analyze import hic_map\n",
    "from cPickle import dump"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "! mkdir -p results/fragment/both_T0/04_normalizing\n",
    "! mkdir -p results/fragment/both_T60/04_normalizing"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "All in one loop to:\n",
    " - filter\n",
    " - normalize\n",
    " - generate intra-chromosome and genomic matrices\n",
    "\n",
    "all at diferent resolutions, and for both time points"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "WARNING: removing columns having less than 20 counts:\n",
      "   124   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   742   931\n",
      "   932  1095  1295  1586  1587  1588  1589  1590  1591  1592  1593  1594  1595  1596  1597  1598  1599  1600  1601  1721\n",
      "  1866  1867  1868  2085  2086  2087  2088  2089  2090  2091  2092  2093  2094  2095  2096  2097  2098  2099  2100  2101\n",
      "  2102  2200  2201  2202  2203  2204  2205  2206  2207  2208  2209  2210  2211  2212  2213  2214  2215  2217  2293  2307\n",
      "  2308  2309  2310  2311  2312  2313  2314  2315  2316  2317  2318  2319  2320  2321  2322  2323  2324  2447  2448  2449\n",
      "  2450  2451  2452  2453  2454  2455  2601  2602  2603  2604  2691  2692  2752  2790  2791  2792  2793  2794  2801  2837\n",
      "  2838  2839  2840  2841  2842  2843  2844  2845  2846  2850  2851  2888  2889  2947  2948  2949  3044  3045  3046  3047\n",
      "  3067  3068  3069  3072  3073  3074  3075  3076  3077  3078  3079  3080  3081  3082  3083  3084  3085  3086  3087  3088\n",
      "  3089  3090  3091  3092  3093  3094  3095  3096  3097  3098  3099  3100  3101  3102\n",
      "\n",
      "WARNING: removing columns having less than 822.413 counts:\n",
      "   121   123   124   126   127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142\n",
      "   143   145   339   340   343   492   585   691   742   882   930   931   932   953  1094  1095  1096  1097  1124  1294\n",
      "  1295  1296  1378  1397  1440  1441  1585  1586  1587  1588  1589  1590  1591  1592  1593  1594  1595  1596  1597  1598\n",
      "  1599  1600  1601  1602  1603  1608  1609  1721  1866  1867  1868  2085  2086  2087  2088  2089  2090  2091  2092  2093\n",
      "  2094  2095  2096  2097  2098  2099  2100  2101  2102  2200  2201  2202  2203  2204  2205  2206  2207  2208  2209  2210\n",
      "  2211  2212  2213  2214  2215  2216  2217  2218  2293  2306  2307  2308  2309  2310  2311  2312  2313  2314  2315  2316\n",
      "  2317  2318  2319  2320  2321  2322  2323  2324  2326  2329  2336  2337  2338  2339  2340  2425  2426  2443  2447  2448\n",
      "  2449  2450  2451  2452  2453  2454  2455  2525  2537  2538  2601  2602  2603  2604  2605  2691  2692  2720  2752  2789\n",
      "  2790  2791  2792  2793  2794  2796  2801  2802  2837  2838  2839  2840  2841  2842  2843  2844  2845  2846  2847  2850\n",
      "  2851  2888  2889  2947  2948  2949  3044  3045  3046  3047  3048  3049  3050  3051  3052  3053  3054  3055  3056  3057\n",
      "  3058  3059  3060  3061  3062  3063  3064  3065  3066  3067  3068  3069  3070  3071  3072  3073  3074  3075  3076  3077\n",
      "  3078  3079  3080  3081  3082  3083  3084  3085  3086  3087  3088  3089  3090  3091  3092  3093  3094  3095  3096  3097\n",
      "  3098  3099  3100  3101  3102\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " - T0\n",
      "   * 1000000\n",
      "Found 245 of 3102 columns with poor signal\n",
      "iterative correction\n",
      "  - copying matrix\n",
      "  - computing baises\n",
      "rescaling to factor 1\n",
      "   *"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "WARNING: removing columns having less than 20 counts:\n",
      "    44   403   410   411   412   413   414   415   419   420   421   422   423   424   425   426   427   428   429   430\n",
      "   431   432   433   434   435   436   437   438   439   440   441   442   443   444   445   446   447   448   449   450\n",
      "   451   452   453   454   455   456   457   458   459   460   461   462   463   464   465   466   467   468   469   470\n",
      "   471   472   473   474   475   476   477   702   811   812   819  1128  1133  1134  1518  1608  1637  2466  2467  2468\n",
      "  2469  2470  2471  2934  3093  3094  3095  3096  3097  3098  3099  3100  3101  3540  3637  3638  3639  3641  3642  3643\n",
      "  3644  3646  3647  3648  3650  3651  3736  3737  3739  3740  3967  3968  4110  4305  4306  4307  4308  4309  4310  4311\n",
      "  4312  4313  4646  4648  4668  5272  5273  5274  5275  5276  5277  5278  5279  5280  5281  5282  5283  5284  5285  5286\n",
      "  5287  5288  5289  5290  5291  5292  5293  5294  5295  5296  5297  5298  5299  5300  5301  5302  5303  5304  5305  5306\n",
      "  5307  5308  5309  5310  5311  5312  5313  5314  5315  5316  5317  5318  5319  5320  5321  5322  5323  5324  5325  5326\n",
      "  5327  5588  5721  5722  5723  5724  5725  5726  5727  6205  6206  6207  6208  6209  6210  6211  6212  6213  6214  6215\n",
      "  6522  6931  6932  6933  6934  6935  6936  6937  6938  6939  6940  6941  6942  6943  6944  6945  6946  6947  6948  6949\n",
      "  6950  6951  6952  6953  6954  6955  6956  6957  6958  6959  6960  6961  6962  6963  6964  6965  6966  6967  6968  6969\n",
      "  6970  6971  6972  6973  6974  6975  6976  6977  6978  6979  6980  6981  6982  6983  6984  6985  6986  6987  6988  6989\n",
      "  6990  6991  7313  7314  7315  7316  7317  7318  7319  7320  7321  7322  7323  7324  7325  7326  7327  7328  7329  7330\n",
      "  7331  7332  7333  7334  7335  7336  7337  7338  7339  7340  7341  7342  7343  7344  7345  7346  7347  7348  7349  7350\n",
      "  7351  7352  7353  7354  7355  7356  7357  7358  7359  7360  7361  7362  7363  7364  7365  7367  7368  7369  7370  7371\n",
      "  7372  7623  7624  7625  7626  7665  7666  7667  7670  7671  7672  7673  7674  7675  7676  7677  7678  7679  7680  7681\n",
      "  7682  7683  7684  7685  7686  7687  7688  7689  7690  7691  7692  7693  7694  7695  7696  7697  7698  7699  7700  7701\n",
      "  7702  7703  7704  7705  7706  7707  7708  7709  7710  7711  7712  7713  7714  7715  7716  7717  7718  7719  7720  7721\n",
      "  7722  7723  7724  7725  7729  7731  7732  7733  7734  7763  7764  7765  7766  8061  8064  8121  8132  8133  8134  8135\n",
      "  8136  8137  8138  8139  8140  8141  8142  8143  8144  8145  8146  8147  8148  8149  8150  8151  8152  8153  8154  8155\n",
      "  8156  8157  8158  8159  8160  8161  8162  8163  8311  8312  8433  8440  8465  8466  8467  8643  8644  8645  8646  8647\n",
      "  8648  8649  8650  8651  8652  8653  8654  8655  8656  8657  8752  8940  8941  8942  8943  8944  8945  8946  8947  8987\n",
      "  9039  9040  9142  9143  9144  9145  9146  9147  9148  9269  9270  9271  9272  9273  9274  9275  9276  9277  9278  9279\n",
      "  9280  9281  9282  9283  9284  9287  9288  9289  9291  9292  9294  9296  9306  9307  9308  9309  9310  9311  9425  9426\n",
      "  9427  9428  9429  9430  9431  9432  9433  9434  9435  9436  9437  9438  9439  9440  9441  9442  9443  9444  9445  9446\n",
      "  9447  9448  9449  9450  9451  9452  9453  9454  9455  9456  9457  9458  9459  9468  9469  9470  9471  9472  9473  9474\n",
      "  9595  9596  9597  9598  9599  9600  9601  9602  9603  9791  9792  9793  9794  9795  9796  9797  9798  9799  9800  9801\n",
      "  9802 10114 10115 10116 10117 10118 10119 10120 10121 10122 10123 10124 10125 10129 10131 10132 10133 10136 10137 10140\n",
      " 10141 10142 10143 10144 10145 10146 10148 10151 10152 10157 10158 10160 10166 10167 10168 10170 10171 10175 10176 10177\n",
      " 10178 10183 10184 10185 10187 10188 10189 10190 10191 10192 10193 10194 10195 10196 10197 10198 10199 10200 10201 10202\n",
      " 10204 10205 10206 10207 10208 10209 10210 10211 10212 10213 10214 10215 10216 10217 10218 10219 10220 10221 10222 10223\n",
      " 10224 10225 10226 10227 10228 10229 10230 10231 10232 10233 10234 10235 10236 10237 10238 10239 10240 10241 10242 10243\n",
      " 10244 10245 10246 10247 10248 10249 10250 10251 10252 10253 10254 10255 10256 10257 10258 10259 10260 10261 10262 10263\n",
      " 10264 10265 10266 10267 10268 10269 10270 10271 10272 10273 10274 10275 10276 10277 10278 10279 10280 10281 10282 10283\n",
      " 10284 10285 10286 10287 10288 10289 10290 10291 10292 10293 10294 10295 10296 10297 10298 10299 10300 10301 10302 10303\n",
      " 10304 10305 10306\n",
      "\n",
      "WARNING: removing columns having less than 485.414 counts:\n",
      "     1     2     9    44    58   401   402   403   404   407   408   409   410   411   412   413   414   415   416   418\n",
      "   419   420   421   422   423   424   425   426   427   428   429   430   431   432   433   434   435   436   437   438\n",
      "   439   440   441   442   443   444   445   446   447   448   449   450   451   452   453   454   455   456   457   458\n",
      "   459   460   461   462   463   464   465   466   467   468   469   470   471   472   473   474   475   476   477   478\n",
      "   481   482   483   484   485   488   496   498   499   702   811   812   813   819   835  1122  1123  1128  1129  1130\n",
      "  1132  1133  1134  1135  1138  1139  1140  1141  1142  1143  1144  1145  1155  1197  1266  1518  1608  1637  1638  1859\n",
      "  1880  1943  1944  1945  1946  1947  1948  1949  1950  2415  2464  2465  2466  2467  2468  2469  2470  2471  2528  2529\n",
      "  2932  2933  2934  3090  3091  3092  3093  3094  3095  3096  3097  3098  3099  3100  3101  3166  3167  3168  3169  3170\n",
      "  3171  3172  3533  3539  3540  3636  3637  3638  3639  3640  3641  3642  3643  3644  3645  3646  3647  3648  3650  3651\n",
      "  3736  3737  3738  3739  3740  3741  3745  3766  3967  3968  4110  4305  4306  4307  4308  4309  4310  4311  4312  4313\n",
      "  4315  4322  4585  4586  4587  4605  4642  4643  4645  4646  4647  4648  4649  4650  4651  4667  4668  4669  4683  4684\n",
      "  4790  4791  4792  4793  4794  4795  5258  5259  5260  5261  5262  5269  5271  5272  5273  5274  5275  5276  5277  5278\n",
      "  5279  5280  5281  5282  5283  5284  5285  5286  5287  5288  5289  5290  5291  5292  5293  5294  5295  5296  5297  5298\n",
      "  5299  5300  5301  5302  5303  5304  5305  5306  5307  5308  5309  5310  5311  5312  5313  5314  5315  5316  5317  5318\n",
      "  5319  5320  5321  5322  5323  5324  5325  5326  5327  5328  5329  5330  5331  5333  5334  5335  5337  5338  5342  5344\n",
      "  5346  5347  5348  5349  5350  5351  5352  5353  5354  5464  5571  5588  5719  5721  5722  5723  5724  5725  5726  5727\n",
      "  5729  5838  6035  6036  6037  6038  6040  6044  6205  6206  6207  6208  6209  6210  6211  6212  6213  6214  6215  6216\n",
      "  6522  6523  6526  6527  6931  6932  6933  6934  6935  6936  6937  6938  6939  6940  6941  6942  6943  6944  6945  6946\n",
      "  6947  6948  6949  6950  6951  6952  6953  6954  6955  6956  6957  6958  6959  6960  6961  6962  6963  6964  6965  6966\n",
      "  6967  6968  6969  6970  6971  6972  6973  6974  6975  6976  6977  6978  6979  6980  6981  6982  6983  6984  6985  6986\n",
      "  6987  6988  6989  6990  6991  6992  6993  7305  7312  7313  7314  7315  7316  7317  7318  7319  7320  7321  7322  7323\n",
      "  7324  7325  7326  7327  7328  7329  7330  7331  7332  7333  7334  7335  7336  7337  7338  7339  7340  7341  7342  7343\n",
      "  7344  7345  7346  7347  7348  7349  7350  7351  7352  7353  7354  7355  7356  7357  7358  7359  7360  7361  7362  7363\n",
      "  7364  7365  7366  7367  7368  7369  7370  7371  7372  7373  7374  7375  7376  7377  7378  7618  7623  7624  7625  7626\n",
      "  7665  7666  7667  7668  7669  7670  7671  7672  7673  7674  7675  7676  7677  7678  7679  7680  7681  7682  7683  7684\n",
      "  7685  7686  7687  7688  7689  7690  7691  7692  7693  7694  7695  7696  7697  7698  7699  7700  7701  7702  7703  7704\n",
      "  7705  7706  7707  7708  7709  7710  7711  7712  7713  7714  7715  7716  7717  7718  7719  7720  7721  7722  7723  7724\n",
      "  7725  7727  7728  7729  7730  7731  7732  7733  7734  7735  7739  7740  7741  7742  7743  7747  7763  7764  7765  7766\n",
      "  7767  7768  7769  7770  7771  7772  7773  7774  7775  7776  7777  7778  7779  7890  8058  8059  8060  8061  8062  8063\n",
      "  8064  8065  8071  8108  8117  8119  8120  8121  8131  8132  8133  8134  8135  8136  8137  8138  8139  8140  8141  8142\n",
      "  8143  8144  8145  8146  8147  8148  8149  8150  8151  8152  8153  8154  8155  8156  8157  8158  8159  8160  8161  8162\n",
      "  8163  8164  8247  8311  8312  8315  8316  8390  8391  8392  8393  8394  8395  8396  8397  8398  8399  8432  8433  8434\n",
      "  8435  8436  8437  8438  8439  8440  8463  8464  8465  8466  8467  8642  8643  8644  8645  8646  8647  8648  8649  8650\n",
      "  8651  8652  8653  8654  8655  8656  8657  8658  8752  8858  8860  8861  8873  8927  8940  8941  8942  8943  8944  8945\n",
      "  8946  8947  8948  8987  8991  8992  9038  9039  9040  9041  9053  9142  9143  9144  9145  9146  9147  9148  9268  9269\n",
      "  9270  9271  9272  9273  9274  9275  9276  9277  9278  9279  9280  9281  9282  9283  9284  9285  9287  9288  9289  9290\n",
      "  9291  9292  9294  9296  9297  9300  9306  9307  9308  9309  9310  9311  9314  9425  9426  9427  9428  9429  9430  9431\n",
      "  9432  9433  9434  9435  9436  9437  9438  9439  9440  9441  9442  9443  9444  9445  9446  9447  9448  9449  9450  9451\n",
      "  9452  9453  9454  9455  9456  9457  9458  9459  9460  9464  9465  9468  9469  9470  9471  9472  9473  9474  9475  9476\n",
      "  9477  9486  9487  9495  9496  9504  9594  9595  9596  9597  9598  9599  9600  9601  9602  9603  9790  9791  9792  9793\n",
      "  9794  9795  9796  9797  9798  9799  9800  9801  9802  9861  9904 10047 10109 10114 10115 10116 10117 10118 10119 10120\n",
      " 10121 10122 10123 10124 10125 10126 10127 10128 10129 10130 10131 10132 10133 10134 10135 10136 10137 10138 10139 10140\n",
      " 10141 10142 10143 10144 10145 10146 10147 10148 10149 10150 10151 10152 10153 10154 10155 10156 10157 10158 10159 10160\n",
      " 10161 10162 10163 10164 10165 10166 10167 10168 10169 10170 10171 10172 10173 10174 10175 10176 10177 10178 10179 10180\n",
      " 10181 10182 10183 10184 10185 10186 10187 10188 10189 10190 10191 10192 10193 10194 10195 10196 10197 10198 10199 10200\n",
      " 10201 10202 10203 10204 10205 10206 10207 10208 10209 10210 10211 10212 10213 10214 10215 10216 10217 10218 10219 10220\n",
      " 10221 10222 10223 10224 10225 10226 10227 10228 10229 10230 10231 10232 10233 10234 10235 10236 10237 10238 10239 10240\n",
      " 10241 10242 10243 10244 10245 10246 10247 10248 10249 10250 10251 10252 10253 10254 10255 10256 10257 10258 10259 10260\n",
      " 10261 10262 10263 10264 10265 10266 10267 10268 10269 10270 10271 10272 10273 10274 10275 10276 10277 10278 10279 10280\n",
      " 10281 10282 10283 10284 10285 10286 10287 10288 10289 10290 10291 10292 10293 10294 10295 10296 10297 10298 10299 10300\n",
      " 10301 10302 10303 10304 10305 10306\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 300000\n",
      "Found 1006 of 10306 columns with poor signal\n",
      "iterative correction\n",
      "  - copying matrix\n",
      "  - computing baises\n",
      "rescaling to factor 1\n",
      "   *"
     ]
    }
   ],
   "source": [
    "for rep in ['T0', 'T60']:\n",
    "    print ' -', rep\n",
    "    for reso in [1000000, 300000, 100000]:\n",
    "        print '   *', reso\n",
    "        # load hic_data\n",
    "        hic_data = load_hic_data_from_reads(\n",
    "            'results/fragment/both_{0}/03_filtering/valid_reads12_{0}.tsv'.format(rep),\n",
    "            reso)\n",
    "        # filter columns\n",
    "        hic_data.filter_columns(draw_hist=False, min_count=10, by_mean=True)\n",
    "        # normalize\n",
    "        hic_data.normalize_hic(iterations=0)\n",
    "        # save biases to reconstruct normalization\n",
    "        out = open('results/fragment/both_{1}/04_normalizing/biases_{0}_{1}.pick'.format(reso, rep), 'w')\n",
    "        dump(hic_data.bias, out)\n",
    "        out.close()\n",
    "        # save filtered out columns\n",
    "        out = open('results/fragment/both_{1}/04_normalizing/bad_columns_{0}_{1}.pick'.format(reso, rep), 'w')\n",
    "        dump(hic_data.bads, out)\n",
    "        out.close()\n",
    "        # save data as raw matrix per chromsome\n",
    "        hic_map(hic_data, by_chrom='intra', normalized=False,\n",
    "                savedata='results/fragment/both_{1}/04_normalizing/{0}_raw'.format(reso, rep))\n",
    "        # save data as normalized matrix per chromosome\n",
    "        hic_map(hic_data, by_chrom='intra', normalized=True,\n",
    "                savedata='results/fragment/both_{1}/04_normalizing/{0}_norm'.format(reso, rep))\n",
    "        # if the resolution is low save the full genomic matrix\n",
    "        if reso > 500000:\n",
    "            hic_map(hic_data, by_chrom=False, normalized=False, \n",
    "                    savefig ='results/fragment/both_{1}/04_normalizing/{0}_raw.png'.format(reso, rep),\n",
    "                    savedata='results/fragment/both_{1}/04_normalizing/{0}_raw.mat'.format(reso, rep))\n",
    "\n",
    "            hic_map(hic_data, by_chrom=False, normalized=True,\n",
    "                    savefig ='results/fragment/both_{1}/04_normalizing/{0}_norm.png'.format(reso, rep) ,\n",
    "                    savedata='results/fragment/both_{1}/04_normalizing/{0}_norm.mat'.format(reso, rep))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
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    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": []
  }
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