PhiPsi_2d_a99SBdisp (2).ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 85,
   "id": "a219b82f",
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import sys\n",
    "import numpy as np\n",
    "import scipy as sp\n",
    "from scipy import optimize\n",
    "from scipy.optimize import leastsq\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import colors\n",
    "import seaborn as sns\n",
    "import mdtraj as md"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "id": "852d0b0e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pdb: /Users/kaushikborthakur1211/Desktop/Paper_Scripts/PaaA2/PaaA2.pdb\n",
      "dihedraldir: /Users/kaushikborthakur1211/Desktop/Paper_Scripts/PaaA2/a99SBdisp/dihedrals/\n",
      "trajectory: /Users/kaushikborthakur1211/Desktop/Paper_Scripts/PaaA2/a99SBdisp/PaaA2-a99SBdisp-Traj.dcd\n"
     ]
    }
   ],
   "source": [
    "pdb='/Users/kaushikborthakur1211/Desktop/Paper_Scripts/PaaA2/PaaA2.pdb'\n",
    "trajectory='/Users/kaushikborthakur1211/Desktop/Paper_Scripts/PaaA2/a99SBdisp/PaaA2-a99SBdisp-Traj.dcd'\n",
    "dihedraldir='/Users/kaushikborthakur1211/Desktop/Paper_Scripts/PaaA2/a99SBdisp/dihedrals/'\n",
    "if not os.path.exists(dihedraldir):\n",
    "    os.makedirs(dihedraldir)\n",
    "print(\"pdb:\", pdb)\n",
    "print(\"dihedraldir:\", dihedraldir)\n",
    "print(\"trajectory:\", trajectory)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "id": "fa8441f3",
   "metadata": {},
   "outputs": [],
   "source": [
    "stride_sel=1\n",
    "trj = md.load(trajectory, top=pdb,stride=stride_sel)\n",
    "trj.center_coordinates()\n",
    "top = trj.topology\n",
    "first_frame = 0\n",
    "last_frame = trj.n_frames\n",
    "n_frames=trj.n_frames"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "id": "50cc2fb0",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "** SYSTEM INFO **\n",
      "\n",
      "Number of atoms: 1165\n",
      "\n",
      "Number of residues: 71\n",
      "\n",
      "Number of frames: 29977\n",
      "\n",
      "Starting frame: 0\n",
      "\n",
      "Last frame: 29977\n",
      "\n",
      "sequence:  [MET1, ASP2, TYR3, LYS4, ASP5, ASP6, ASP7, ASP8, LYS9, ASN10, ARG11, ALA12, LEU13, SER14, PRO15, MET16, VAL17, SER18, GLU19, PHE20, GLU21, THR22, ILE23, GLU24, GLN25, GLU26, ASN27, SER28, TYR29, ASN30, GLU31, TRP32, LEU33, ARG34, ALA35, LYS36, VAL37, ALA38, THR39, SER40, LEU41, ALA42, ASP43, PRO44, ARG45, PRO46, ALA47, ILE48, PRO49, HIS50, ASP51, GLU52, VAL53, GLU54, ARG55, ARG56, MET57, ALA58, GLU59, ARG60, PHE61, ALA62, LYS63, MET64, ARG65, LYS66, GLU67, ARG68, SER69, LYS70, GLN71]\n",
      "\n",
      "residue names:  ['MET', 'ASP', 'TYR', 'LYS', 'ASP', 'ASP', 'ASP', 'ASP', 'LYS', 'ASN', 'ARG', 'ALA', 'LEU', 'SER', 'PRO', 'MET', 'VAL', 'SER', 'GLU', 'PHE', 'GLU', 'THR', 'ILE', 'GLU', 'GLN', 'GLU', 'ASN', 'SER', 'TYR', 'ASN', 'GLU', 'TRP', 'LEU', 'ARG', 'ALA', 'LYS', 'VAL', 'ALA', 'THR', 'SER', 'LEU', 'ALA', 'ASP', 'PRO', 'ARG', 'PRO', 'ALA', 'ILE', 'PRO', 'HIS', 'ASP', 'GLU', 'VAL', 'GLU', 'ARG', 'ARG', 'MET', 'ALA', 'GLU', 'ARG', 'PHE', 'ALA', 'LYS', 'MET', 'ARG', 'LYS', 'GLU', 'ARG', 'SER', 'LYS', 'GLN']\n",
      "\n",
      "residue number:  [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71]\n",
      "\n",
      "residue index:  [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "nres=[]\n",
    "for res in trj.topology.residues: nres.append(res.resSeq)\n",
    "sequence=(' %s' % [residue for residue in trj.topology.residues])\n",
    "resname=(' %s' % [residue.name for residue in trj.topology.residues])\n",
    "resindex=(' %s' % [residue.index for residue in trj.topology.residues])\n",
    "res_num=(' %s' % [residue.resSeq  for residue in trj.topology.residues])\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "print(\"** SYSTEM INFO **\\n\")\n",
    "print(\"Number of atoms: %d\\n\" % trj.n_atoms)\n",
    "print(\"Number of residues: %d\\n\" % len(set(nres)))\n",
    "print(\"Number of frames: %d\\n\" % trj.n_frames)\n",
    "print(\"Starting frame: %d\\n\" % first_frame)\n",
    "print(\"Last frame: %d\\n\" % last_frame)\n",
    "print(\"sequence: %s\\n\" % sequence)\n",
    "print(\"residue names: %s\\n\" % resname)\n",
    "print(\"residue number: %s\\n\" % res_num)\n",
    "print(\"residue index: %s\\n\" % resindex)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "id": "d14d6256",
   "metadata": {},
   "outputs": [],
   "source": [
    "combined_weights = np.loadtxt('/Users/kaushikborthakur1211/Desktop/Paper_Scripts/PaaA2/a99SBdisp/Jan_2023_leave_one_out/CA-CB-HA-H-N-C-RDC-SAXS/weights_final.dat')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "id": "27b89000",
   "metadata": {},
   "outputs": [],
   "source": [
    "phipsi = np.stack([md.compute_phi(trj)[-1][1:],md.compute_psi(trj)[-1][1:]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "id": "b6d23d91",
   "metadata": {},
   "outputs": [],
   "source": [
    "resnames = np.array([residue.name for residue in trj.topology.residues])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "id": "d8e7bfab",
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_dihedral(data:\"np.array with dimensions: (phi,psi),(N_frames),(N_residues-1)\",\n",
    "                  resnames:\"3 letter strings of sequence\", weights:\"reweight data\", \n",
    "                  residue:\"residue type to plot\", stride=1):\n",
    "    idx_= np.where(resnames[1:-1]==residue)[0]\n",
    "    for idx in idx_:\n",
    "        fig, ax = plt.subplots(2, 2, figsize=((8,8)), sharex = True, sharey = True)\n",
    "        hist_i=ax[0,0].hist2d(data[0,::stride,idx+1].flatten(), data[-1,::stride,idx].flatten(), bins=50,range=[[-3.14,3.14],[-3.14,3.14]], norm=colors.LogNorm(),cmap='jet')\n",
    "        hist_r=ax[0,1].hist2d(data[0,::stride,idx+1].flatten(), data[-1,::stride,idx].flatten(),weights=weights, bins=50,range=[[-3.14,3.14],[-3.14,3.14]], norm=colors.LogNorm(),cmap='jet')\n",
    "        hist_init=hist_i[0]/np.sum(hist_i[0])\n",
    "        hist_re=hist_r[0]/np.sum(hist_r[0])\n",
    "        xedges=hist_i[1]\n",
    "        yedges=hist_i[2]\n",
    "        hist_diff=hist_init - hist_re\n",
    "        #hist_int - hist_re = hist_diff. For +hist_diff.T red is a descrease, blue is increase )\n",
    "        ax[1,0].pcolorfast(xedges, yedges, hist_diff.T,cmap='seismic')\n",
    "        # -hist_diff.T shows log plot of regions with an increase density, and regions with a decrease are blank\n",
    "        ax[1,1].pcolorfast(xedges, yedges, -hist_diff.T,norm=colors.LogNorm(),cmap='jet')\n",
    "        for axes in ax.flat:\n",
    "            axes.set_xlabel(r\"$\\phi$\", size = 20)\n",
    "            axes.set_ylabel(r\"$\\psi$\",size = 20)\n",
    "        fig.suptitle(f\"{residue}:{idx+2}\", fontsize=20)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "id": "f525ca42",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "id": "1ea3130c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10\n",
      "33\n",
      "36\n",
      "40\n",
      "45\n",
      "56\n",
      "60\n"
     ]
    },
    {
     "data": {
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LFp+qrxS2f7/sNjUxuqYBAMiIRAwAQEZN0TUd0a25GjVjNL1rwzCYOJSoTfxvmCa3MDUoWlpTJuKi06qPQY3jggtr+365cMS+Sa1Ygw7jms8INeR0+WHp0BAvCh8+h4XtCwrNAdrDfEkfWlt/vF6fTTafuM3F6f5h2PELnelc1W8ZqbVrjt//9+lc7u++8NF05zgOeIcQPxTiONd0XGM5rNU7Z/N0/fHpuk7N7h+2/VqFR9d+hn7/nu7i5j3+cuM1qMnQNQ0AQEYkYgAAMmqRruny68Y2qdTDDYhGrhnX7N4H3nJPn9LNHp8p55hX9DnmUTuWc8yNqEu/SuKeQn93Xvb+NP7izXna0SrMfeAHknd1dXlPT88GP39Dkm5SQ66QZPvO41wrCW86d2kSLz9/eLr95HR7tPx36f76Ztjh8srjiKsl1kpjqRs7ETdW+xqVmfW6e1xRt2HUey3rznC/RFjH9oU9ijXfvvVefaXCnMenhs+0K8I+sab73RCHYf8aWjxF4vchDnNLe4glyTr6/9yNSVhq/EQsSU4yrqratUzXNAAAGZGIAQDIqCFrxBujG9OOrrG9CWvCjWxdljGstQ9d183v2/qLwmN/pf+s76CzayzBd1WN7Vhvtg5LsO6jeX/8/52/qtAfvy/zafenIRNxTRPDuN0Ka9sm4lzRcf/C8aqPQ15+ZVrjHfFP6XrCi78bZtDdI7Qnru15QPjguFzrrRmSVvWx2WhLoSasP6ThyItfTR8YFPaP8z7vUzzFiulpPDjOHT0uxI+F+J0hnhzi+Cn6TBp+v+PjhTZ9qvDIWo1WD67o65L3+fLSNwlj/dE1DQBARiRiAAAyas6uadTUiMOF1nfYWSOPiwYGyif0vcJjP6zauT1A5vUpqe33y5q7+5K0BFdtCFe7KSURm9klkj4o6Xl3373e49X8wC2s1xsmh4g14TguN65HXGhx2H5sGo6YFmrCT6QLjm56RBhnfEeoKf9pWkRafEGoKce5sVtCnMDjtArrTK9FDbk11Lox6+/2SNep/cazp6Y7rEjDe/fdOYkn3fNwukOs70oaHO+5iHXlUJfWiBDHccIx7ghxGIf8qb/5UbFR//7D4mMN7A8T0iQ6NAwdv3Pe/tJ+fRJruDErJmGkyuqani1pWknHAgCgbZSSiN19nqQlZRwLAIB2MmA1YjPrltQtSePGjQvbqtczWX94tVarmaavh7mnm0W1a/nCsGyhJJ3YZw7Jc/V3Yeu2pbevGVyiY5L405qTqSUl6rO8q30j7Zpe9YWBbkxzGbBE7O6zJM2SVs9PW9fBYo03ruc7M44TDvsXasxh++fC5lAzWvzzUNONQo3osOlXJHGPwnSj3wnPj3NPS/3OP92f/Em6VmItrgGN5lDmtfyNb4WacJiGPa79O+natCb883MPSOJpf5hbPMmdIY5jkUeFONaQo8dr7B/nsjg4DS/5UI3ZhYJGuDFraHyN24Q41tWDOzv2LDwWp/RuZwxfAgAgIxIxAAAZlTV86XJJB0gaaWYLJZ3l7heXcWw0B9YbBlqHHZnG/q087WgXpSRid59R3/Nr1TNDPXFBuJkrllziOOLoc+F8cS7o69JwTPcjSfzGqs2S+M83+Z8kHtZ3vVRJP1zyiSQe3/FEeoLF4fwT1AKKNeD0Brzi/unvQe4aNzbEiYXFfVN/syz9RH/thE20xdCVax94KvxixHpsqOdO+8rc9IHnKpw03g+2IMSxvhnHIsf5sGMNOC7HfG2Iw/rH236oUiMbm91QvBXAP91n+58Wn+O/6RvdXXqbWgld0wAAZEQiBgAgo6adazoZW1yrK7pF5RxXvCFTULLmMyrq7dMdHYfFtInTdWYSn6OzB/T8uxW6jveq/aSb+pYRmDe6Hk2aiMONQLGm+kiIDwjxQeGX5rBQl7o63b5wVnqC93bfmsQPaLck3jE04AsdX6u6/6jp6dzTc+9oztlCq/0hQBKGJG0xf1X6QPwE+naI41rBcV74C0NcaSnflSGONeGY/ONc0nEu6jh1dBwQG2vMYT3kQ7/y30l8+qlnqNHs+uO79UC1ZHxT+pn52G/iYGypsDAz+kXXNAAAGTXpN2K0olrd3flnCwOwrvpOZ3rKxecXd/gM3dlvaY1EPCbEx4cf8KLQ9fylEMfurrh/0LtkchK/r+P2JH5DmyfxMm2axHGKy4WP7Vj1fJKkM86SD2zZqKr1Toq1lq5kysv2EIcCxaF7B4Y4dlW/FuLYdV1p6uq4VG6YclI/CHH8VHx7je1R7PqOr/ltSpLQOTUONxCqdkNX8M2Du5P45D+9KIm/8ps4pziqoWsaAICMSMQAAGTUEF3TtZZBxGqNtAwiPzNUdG2Fss6HqAUWXBrep2Pzvke1Z8bCxtQQibhuc0O8MPySx5rxsWH7KdUPH6e4jDXdZzrSW/en6/ok7o3LHgYjxqe3+S9WhWUWZ67/uN1GUjtJk8TbwUN7vCOJd/m3J9MddgpPiJdOnJ4ylja3r3DSHUJ8TYjDFJSFaTXjcKZYl47Dm2KbbwtxrIM3oZOU1oRPKiTtb6ThZ74Rd0AfdE0DAJARiRgAgIyydE339j5Tc8zohkyhiMZVxs+TGnQDer5XurBPqSd220rS7D7bj39HhR3QbOLqaTv6/Un80NJ0TOjglyscZCz3DrylYWrE6RJ51W8EsllhY1zG8D1vhgfCXNRxSrooLIOofUJ8S/pbuE/3nUm8uV5P4g+FddHma88kvnWTKenxZ8b2S9Jpcm+cObVJiqjo95JO7PMBOzu9VnaZ/WR6z8b+4RP9x+F4x4U4Tkf5uxA/X6FNcfbFOHZ5aY1zRPfV2D+MZfavFw9hHY2VhLgxKy+6pgEAyIhEDABARg3TNY3WQo0faB0/1ofDI3EMGOqRJRFPnjxKPT111BhPqFRD7ePR8LIOC9vDuOI9701rvA8sSZcpXHh9ugziYd1XJPFTGpvEEwuDHVNx/wlh2cSFM+K6jq0ozDU9MdS/F9T4GaMxbDNZOrGn3833H1+cR/3dfYNYbw1LBoYh+cXtsUZ8kYri3NJx7uiHQhxrvvFyjp+acezzg2lo/1ahTedWeKyJzPQvJPG2oTg/eHZ4QqWbtRpv9cds6JoGACAjEjEAABk1RI14XeqJ6T5xCT0AjWB86OeNIwGltN545EZuD9AMSknEZjZN0jclDZL0XXevuwJSfVxxWLv2olBvXhR2/06Iw9jG+Y+kA4vHXJbWbCdOvyWJn9D4JP6YrkzisXoqiV8P6xPH7Qs0MW3f5f38YXJZC4/dLaxXzFjlVnCofqYntMsf48JNP7uEJywJcZzH+bkQx3HDcd7oSvs8FuKhIY4l72UhHlRj+4o0fOjc4iQm8WU3uiNvSOdCsOmXJrFff2z6hPhzGyrpHxtr7HQjqbtr2swGSbpQ0iGSdpM0w8x2q/4sAAAglVMj3lvSI+7+mLsvl3SFpI+UcFwAAFpeGV3To6Wkr3WhipNCrjczhq9E8T1ppCkvN8a44UZafxkb7god/sf/x17ddnWr3pfEU3R7ppb04+Iw9WicJnQDLF2Z1gCGD4p9+u2rjERcYSVwFYoBZtYtqVuSxo2rNDN8X+FmrDPCB/CYNNz0iHSy2MM6rqp69B91frLq9im6NYljDfd4/WcST9CjSTxMryTxzvptEr+iLZM41oznzzi72KjLm/wPkxk1kujlA9MM1K/atXyFZiRxvJ/iyFPSWmNhTO/DIY5rA8dLO44R/mhsrYrrAb8txHG94VDj1TMhjnXoOM44rEe8y3npmsu3/v17Ywsb3oRD0gHffnm6qEPhPQhjsZcet2n5jWohZXRNL5SSGSrGqPirK3ef5e5d7t7V2dlZwmkB5MC1DJSrjET8G0k7mdkOZrappKPE/GcAAKyTurum3X2FmX1O0o1aXQK6xD0sTgkAACoqZRyxu1+v4qyw6/H8tH5YuPHnkeo14uUvDUviUR3PJnGsUx3yzrTQtI/+XxLHGu7faG4SDw0DBw9d9N9pg+IYujAf7jFTL0viE3VBukMYkidJuq9xbsyqpObP8IDwhIUhjjXk/sZSo6G9R3en8bxwC8lrqh7HtYFDvbUwZjcWwT5foVHxRqNan3rpLRtaGtr4XFjPeHyYR3lIWI84Dp2ecuWvi+c8okabBtpn0tt8tgn3zRTm+A7zbS8Lr7l30OTCKaYUHmlfTHEJAEBGJGIAADJqmrmmUdRu42wr/Z60+mtuOo9UGs2Imu4M79s+bTAd5EXhNZ/QBq+5Hw2RiIvCOOK4Zum/pD+wWPON43L3DHWr5xWLOKn9NC+JRygtCk3qDYMd4xi6WD9JS84a+fKrSXz64enc2c9PL7Zv7qXT0gdavYZKzbg1jA1xLBWGemxhxo9YA47zRod6bcW5puNauGFs8tPhGPH2hTiseLMQLwnH3zZ+Hnw3xHuGOK6x3IBG6oX0gXgfy01pOPTMNJ6yItTFdy2lWS2DrmkAADIiEQMAkFGWrune3meoC28EjTwXNVrUsl7pcerCpesN7+nk9q2ftoOGqRGn6w+HeZUPS8MR49PC0UvaOolHhcLSeD2RxOMKNeT5Sbz1ojfSE8b1S38c4ji2MY6o3j7Eoe614/R0/eMdh6ZzV0sKI5klTQw11AUNPhf1CeEPrzh/eBTvC0BzGCRphz5JY1FIKGHp7cL6w2FIfkG8/yLMG/1GXK9Y0uDwKfd0qOk+HfYPV39hCeQobj8kfqqGeZcLnxfxdz3WkBvANY98PInnTPhYEh8z9CfpE+JyAh0hZr2HBF3TAABkRCIGACCjhumaTmvGp/W7H9Zdu40zRoPoW9+steIp1skxuiSJ5+jTmVqCjSFLIp48eZR6evrWhEP9cGK4yejqNBxxdjrw7/CwSOlzoSgzfWVatN38teVJPDiORbwzxLEulZaU9XSoaz0Ydn9HqDHvFOau3eIXq5L4mUNiUVnFuZoL6xN/WU1lZmj/jPAzL9S8T+Pms0Y0dLK0Q8/aON5kFNcXjjXhO0Ic1x+O9dXgzXjtVvDLUBMeFrbHccNPhjj+Jtb6LVwS7gHpiGsux7HVNeZtPma/i2ucceOzM9ObxRZeNjLdIdZ8w2fi//40vgnSdnqphJa1BrqmAQDIiEQMAEBGJGIAADJqmJu1EgtCzfi69CajxatGJPHtm7wvid+n25N4/qB0YN6I4WlhafzQtDC1RUdas601320cR1irbBVrxHF+3N30QOE5Nyz8aPrAGUPkZ/d9oPFvxKo6VrzCXNLcXNaEhoY4zvMc66GxdBjnXQ73Y8Sbv4aE+y+GxPNLmhiutyeKuyTW90Mx7v9GnJy6J8RxnPDbJR3b/4Qdc9azPRtFmDthzI9fkPe9hEeEewPCesTbXfxyYY1jrMU3YgAAMiIRAwCQUWN2TWOdNNs4YcaKA/24J3Tt7tH43bjWZyizN8FSjo2sIRJxrQRik9J48aHpAp9Xhxry1SOOSuLP7/MvSdyl3iR+aehWSTz+4CeSePRToeobak5/EscNht2Hx3c51ojCuMJrY4FFkma2+iIZjBNuCbvXSCAvh4QTP8DjPO7x2qkx13SlT7RtV6bx0nB9xrmlo1dCHNcjHl/j+RoV4n1DvLTWAfLzG9Ofm10afs7pku+rndP4f0w0CrqmAQDIiEQMAEBGJGIAADKqq0ZsZkdK+idJu0ra293jiLlyxHHFimNSw/YZac346/pSuv3YNDxg+s+TOI5DPugztyTxlJ1+nR4g1HzHx4HE6bBn+fFp/A8dM5P44TNDUVySwnzaUmPfnNXIbUNGoV6r+yQdsbaWeMUZhyebj7onTDQfx+jGual/WeGcoX65U5jveqcwL8ATNWrI8UNzp3B9a/cQxzbHA3RIGtvg9dSpaft8atyhwdvf4Or9RnyfpI9KmldCWwAAaDt1fSN29wclycxq7QoAACoYsOFLZtYtqVuSxo2rvkhpoasZFTXbOOL1Uel3oJVeXzNbn2tZ8/gjfV208rUsSS9q88JjW+v1DC1pTDUTsZndImm7CptOd/efruuJ3H2WpFmS1NXVtd4FhWq/mOv7SxvHJc89NF2AeO6j6UXx1DvTgb5z9jsmibv2W7/S+JdWpeOaF88ane4wRvLu8KSz0+cdrzwAABFTSURBVNfIHyvIpa5reRtJ+/X/lKPivRB71DjegpDoj6qwT5jLXQtC3JWGhXs84nzZcexyXF94/wptOL7/18y1jJqJ2N0PGoiGAADQjhi+BABARvUOXzpc0r9L6pR0nZnNd/cPlNKyqudtv/oh3VdoRf+rrQqPbaeXMrRk4Nh5uVuARlPvXdNXqdIA1zpt9KS6nuOSf1DYnq6le7G6k3mS7cziKfuuHfzXca7pCu1Rd+33oJX/+Gjl19ZWqtSDS7FThcf2Tc/5zX1PKOxyki5aGzxU4YayXfoc41sVtv9tn+3xhrQLKrTp+AqPveXrZ8n/vsr2FsCNWdXRNQ0AQEYkYgAAMmqIZRBbQdKdfQbdqkBTe5bxzxg45j7wc4R2dXV5T8/GmZY6h3a8eQwDw8x63b2r9p55tNq1LKlyEt6euZRRn2rXMl3TAABkRCIGACAjasQDIA53kpQMdwLQRC6q0HV9Al3X2HAk4hJQDwZaCPVgDDC6pgEAyIhEDABARnRNZ9Lq648C7WTokqVJvKxjeKaWoBmRiAdAvDGLBRyAJhZuzIpJGFhfdE0DAJARiRgAgIxIxAAAZESNOANuzAJaBzdmoV58IwYAICMSMQAAGZGIAQDIiEQMAEBGJGIAADIiEQMAkFFdidjMvmpmD5nZvWZ2lZltVVbDAABoB/V+I75Z0u7uPknSw5JOrb9JAAC0j7oSsbvf5O4r1oR3SBpTf5MAAGgfZdaIPy3phhKPBwBAy6s5xaWZ3SJpuwqbTnf3n67Z53RJKyTNqXKcbkndkjRu3LgNaiyA/LiWgXLVTMTuflC17Wb2KUkflHSgu3t/+7n7LEmzJKmrq6vf/QA0Nq5loFx1LfpgZtMkfVHS/u7+ejlNAgCgfdRbI75A0jBJN5vZfDP7dgltAgCgbdT1jdjdJ5TVEAAA2hEzawEAkBGJGACAjEjEAABkRCIGACAjEjEAABmRiAEAyIhEDABARiRiAAAyIhEDAJARiRgAgIxIxAAAZEQiBgAgIxIxAAAZkYgBAMiormUQ24XZPxcecz8rQ0sA1O0XVnxsqg98O4A1+EYMAEBGJGIAADIiEQMAkBE14gyoOfMeoHXM0RGFx47RlRlaks8X9C+Fx76mL2VoSXMiEa8DEgTQQrgxCw2GrmkAADIiEQMAkFFdXdNmNlPSRyStkvS8pOPd/ZkyGrZ+7ahebzR7M2z9ctX9C8efFB5YUON8R4eN9/V76MrPubx4/HgOoBUtXTm08NjwQcv++P/7NSHZ9u5FjxYP0lmj6/mv03HER/zHpYVdrtQxa4PZYdzx82Hnf/xY8Rx9xirfO3XnwuZJ+m31NqKt1Fsj/qq7nyFJZva3ks6U9Fd1t6rVzSCh8kcFWsUxl/4kfWBUnnbkxI1Z9amra9rdl/YJt5DEXRAAAKyHuu+aNrNzJH1S0suSptTdIgAA2kjNRGxmt0jarsKm0939p+5+uqTTzexUSZ+TVLHP0cy6JXVL0rhx4za8xQ3KZuVuQV416/TrWWdH42r1a1mSdEWF+ajbyVMVXv/YtR2eF+qzyaYXtVVh9y/pa6U3q1XVTMTuftA6HusySdepn0Ts7rMkzZKkrq6uge3CnjgkjRectn7PPyzE54aXuDBsPykNT9vnzCR+QLsl8dWPfSJ9wn0kJDSujXktv/3GZYXHfPra/797drg5a/8KB+msdZI0vPIrx6YP7BD2j036cYj3DPHb0nDSrx4utuGM/puH9lNXjdjMduoTfljSQ/U1BwCA9lJvjfhcM3uXVg9felLcMQ0AwHqpKxG7e4UBdAAAYF2Z+8CPODKzRVr9DbqRjJT0Qu5GZNTur19qzPfgHe5eq+qZDddyw+I9aLz3oN9rOUsibkRm1uPuXbnbkUu7v36J96BV8HPkPZCa6z1grmkAADIiEQMAkBGJeK02n5Kj7V+/xHvQKvg58h5ITfQeUCMGACAjvhEDAJARiRgAgIxIxAAAZEQiBgAgIxIxAAAZkYgBAMiIRAwAQEYkYgAAMiIRAwCQEYkYAICMSMQAAGREIgYAICMSMQAAGZGIAQDIiEQMAEBGJGIAADIiEQMAkBGJGACAjEjEAABkRCIGACAjEjEAABmRiAEAyIhEDABARiRiAAAyIhEDAJARiRgAgIxIxAAAZEQiBgAgIxIxAAAZkYgBAMiIRAwAQEYkYgAAMiIRAwCQ0eAcJx05cqSPHz8+x6mBptLb2/uCu3fmbkd/uJaBdVPtWq47EZvZ2yTNkzR0zfGudPezqj1n/Pjx6unpqffUQMszsydzt6EarmVg3VS7lsv4RrxM0lR3f9XMhki6zcxucPc7Sjg2AAAtre5E7O4u6dU14ZA1/7ze4wIA0A5KuVnLzAaZ2XxJz0u62d3vLOO4AAC0ulISsbuvdPc9JY2RtLeZ7R73MbNuM+sxs55FixaVcVoAGXAtA+UqdfiSu78kaa6kaRW2zXL3Lnfv6uxs2JtAAdTAtQyUq+5EbGadZrbVmv9vJukgSQ/Ve1wAANpBGXdNby/pe2Y2SKsT+4/c/WclHBcAgJZXxl3T90raq4S2AADQdpjiEgCAjEjEAABkRCIGACAjEjEAABmRiAEAyIhEDABARiRiAAAyIhEDAJARiRgAgIxIxAAAZEQiBgAgIxIxAAAZkYgBAMiIRAwAQEYkYgAAMiIRAwCQEYkYAICMSMQAAGREIgYAICMSMQAAGZGIAQDIiEQMAEBGdSdiMxtrZrea2YNmdr+ZnVRGwwAAaAeDSzjGCkmfd/e7zGyYpF4zu9ndHyjh2AAAtLS6vxG7+7Puftea/78i6UFJo+s9LgAA7aDUGrGZjZe0l6Q7yzwuAACtqrREbGZbSvqJpJPdfWmF7d1m1mNmPYsWLSrrtAAGGNcyUK5SErGZDdHqJDzH3f+r0j7uPsvdu9y9q7Ozs4zTAsiAaxkoVxl3TZukiyU96O7n1d8kAADaRxnfiPeVdJykqWY2f82/6SUcFwCAllf38CV3v02SldAWAADaDjNrAQCQEYkYAICMSMQAAGREIgYAICMSMQAAGZGIAQDIiEQMAEBGJGIAADIiEQMAkBGJGACAjEjEAABkRCIGACAjEjEAABmRiAEAyIhEDABARiRiAAAyIhEDAJARiRgAgIxIxAAAZEQiBgAgIxIxAAAZkYgBAMiIRAwAQEalJGIzu8TMnjez+8o4HgAA7aKsb8SzJU0r6VgAALSNUhKxu8+TtKSMYwEA0E4GrEZsZt1m1mNmPYsWLRqo0wIoGdcyUK4BS8TuPsvdu9y9q7Ozc6BOC6BkXMtAubhrGgCAjEjEAABkVNbwpcsl/VrSu8xsoZl9pozjAgDQ6gaXcRB3n1HGcQAAaDd0TQMAkBGJGACAjEjEAABkRCIGACAjEjEAABmRiAEAyIhEDABARiRiAAAyIhEDAJARiRgAgIxIxAAAZEQiBgAgIxIxAAAZkYgBAMiIRAwAQEYkYgAAMiIRAwCQEYkYAICMSMQAAGREIgYAICMSMQAAGZGIAQDIqJREbGbTzOy3ZvaImZ1SxjEBAGgHdSdiMxsk6UJJh0jaTdIMM9ut3uMCANAOyvhGvLekR9z9MXdfLukKSR8p4bgAALS8MhLxaElP9YkXrnkMAADUUEYitgqPeWEns24z6zGznkWLFpVwWgA5cC0D5SojES+UNLZPPEbSM3End5/l7l3u3tXZ2VnCaQHkwLUMlKuMRPwbSTuZ2Q5mtqmkoyRdU8JxAQBoeYPrPYC7rzCzz0m6UdIgSZe4+/11twwAgDZQdyKWJHe/XtL1ZRwLAIB2wsxaAABkRCIGACAjEjEAABmRiAEAyIhEDABARiRiAAAyIhEDAJARiRgAgIxIxAAAZEQiBgAgIxIxAAAZkYgBAMiIRAwAQEYkYgAAMiIRAwCQEYkYAICMSMQAAGREIgYAICMSMQAAGZGIAQDIiEQMAEBGJGIAADIiEQMAkFFdidjMjjSz+81slZl1ldUoAADaRb3fiO+T9FFJ80poCwAAbWdwPU929wclyczKaQ0AAG1mwGrEZtZtZj1m1rNo0aKBOi2AknEtA+WqmYjN7BYzu6/Cv4+sz4ncfZa7d7l7V2dn54a3GEBWXMtAuWp2Tbv7QQPREAAA2hHDlwAAyKje4UuHm9lCSe+VdJ2Z3VhOswAAaA/13jV9laSrSmoLAABth65pAAAyIhEDAJARiRgAgIxIxAAAZEQiBgAgIxIxAAAZkYgBAMiIRAwAQEYkYgAAMiIRAwCQEYkYAICMSMQAAGREIgYAICMSMQAAGZGIAQDIiEQMAEBGJGIAADIiEQMAkBGJGACAjEjEAABkRCIGACAjEjEAABnVlYjN7Ktm9pCZ3WtmV5nZVmU1DACAdlDvN+KbJe3u7pMkPSzp1PqbBABA+6grEbv7Te6+Yk14h6Qx9TcJAID2UWaN+NOSbijxeAAAtLzBtXYws1skbVdh0+nu/tM1+5wuaYWkOVWO0y2pW5LGjRu3QY0FkB/XMlCumonY3Q+qtt3MPiXpg5IOdHevcpxZkmZJUldXV7/7AWhsXMtAuWom4mrMbJqkL0ra391fL6dJAAC0j3prxBdIGibpZjObb2bfLqFNAAC0jbq+Ebv7hLIaAgBAO2JmLQAAMiIRAwCQEYkYAICMSMQAAGREIgYAICMSMQAAGZGIAQDIiEQMAEBGJGIAADIiEQMAkBGJGACAjEjEAABkRCIGACAjEjEAABmRiAEAyIhEDABARiRiAAAyIhEDAJARiRgAgIxIxAAAZEQiBgAgIxIxAAAZkYgBAMiorkRsZjPN7F4zm29mN5nZqLIaBgBAO6j3G/FX3X2Su+8p6WeSziyhTQAAtI26ErG7L+0TbiHJ62sOAADtZXC9BzCzcyR9UtLLkqZU2a9bUrckjRs3rt7TAsiEaxkoV81vxGZ2i5ndV+HfRyTJ3U9397GS5kj6XH/HcfdZ7t7l7l2dnZ3lvQIAA4prGShXzW/E7n7QOh7rMknXSTqrrhYBANBG6r1reqc+4YclPVRfcwAAaC/11ojPNbN3SVol6UlJf1V/kwAAaB/mPvA3OpvZIq1O3I1kpKQXcjcio3Z//VJjvgfvcPeGLcRyLTcs3oPGew/6vZazJOJGZGY97t6Vux25tPvrl3gPWgU/R94DqbneA6a4BAAgIxIxAAAZkYjXmpW7AZm1++uXeA9aBT9H3gOpid4DasQAAGTEN2IAADIiEfdhZl81s4fWLO14lZltlbtNA8HMppnZb83sETM7JXd7BpqZjTWzW83sQTO738xOyt0m1IdrmWu5ma5luqb7MLODJf3C3VeY2b9Kkrt/MXOzNiozGyTpYUnvl7RQ0m8kzXD3B7I2bACZ2faStnf3u8xsmKReSYe103vQariWuZab6VrmG3Ef7n6Tu69YE94haUzO9gyQvSU94u6PuftySVdI+kjmNg0od3/W3e9a8/9XJD0oaXTeVqEeXMtcy810LZOI+/dpSTfkbsQAGC3pqT7xQjXBL+7GYmbjJe0l6c68LUGJuJbbUDNdy3WvR9xszOwWSdtV2HS6u/90zT6nS1qh1Us7tjqr8Fhb1ivMbEtJP5F0srsvzd0eVMe1XMC1vEazXcttl4hrLetoZp+S9EFJB3p7FNAXShrbJx4j6ZlMbcnGzIZo9YU7x93/K3d7UBvXcgHXsprzWuZmrT7MbJqk8yTt7+6LcrdnIJjZYK2+weNASU9r9Q0eR7v7/VkbNoDMzCR9T9ISdz85d3tQP65lruVmupZJxH2Y2SOShkpavOahO9y95Zd2NLPpks6XNEjSJe5+TuYmDSgz+zNJ/yNpgVYv6SlJp7n79flahXpwLXMtq4muZRIxAAAZcdc0AAAZkYgBAMiIRAwAQEYkYgAAMiIRAwCQEYkYAICMSMQAAGREIgYAIKP/D5BLkPAcBR/6AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ssQdk8v1QD/3g9HLt/SK0d/Sycu0BLaAlE3E9jQYmlR+0dHY67/jvQ3tx7ek4r/iBJs1/o3kPmv0MDMxCJ5jx/QHpg0MPTBqvp4fV3ifqbPb7Bc1L4rk3hOT9eBqOOvaFJN5/9tIk/onSDYxf81S44Pet07HXNRh8xcAsBNyaBgAgIxIxAAAZtc2t6eHYnJqwWc2UozgdCUAWtiiNN+Wm7hTdncTNdkkFcmvJRFx9PTTOE5bcNybbJAlL0ryQyM8N/YnzhK8Mifv4EL86vHjJ8SpA22hQD94sY9PwC1edm+xPHJOwJGn3xk3+9//5qyT2qaGmHPcj3jnED9Zp9HWNXxOoxa1pAAAyIhEDAJBRS96ajppvc/hs4XjTNutNOcgo9sfvz9MPYEs6XV8uPDZPX9gYXBfXYd6EW9uP1DxnUp3lJXP4cPg5LmbKEoZWSSI2s+9Ieqekx919ahVtljO7cQ047hd8bohXhZrw9aH5OI/45HD8MyEeH+IpzAkGNoVvb9JfbUxik5T+hvrII+lvsOfps4U2Fuz1niQ+ujfdxPi/ZxyQvubq9Pn37LxPEr/mwnQe8bc+/qEk/uSH4wbFQGNV3Zq+SNLMitoCAKBrVJKI3f06SaubnggAABIjNljLzGaZWb+Z9Q8ODo7UywKoGNcyUC1zr2YQgZlNlvTLTakR9/X1eX9/dZuB1xusldaIm8wLbuLlpzyaxGuWTExPeCI84VE1Ft+htzfuP7qXmQ24e+NNfDOq+lp+S2Fhd+lXettLf9/hmfRie/raniS+46hXFp7/2kvvSx/4Yxp+66S0xnu8Lk3inS4M12ecV9ybhl86+vOFPszVWYXH0F0aXctMXwIAICMSMQAAGVU1femHkt4qabyZrZA0190vrKLtze8TexADneDLOr0mOiNbP4AtpZJE7O4fqKKdzX/9tJ7aNAnH/YHfHeKwlvQahZpwCONa0vudcFsSL/vBtPSEOO9YZ9fpJHON0X1q68FSTMLS1dumxz96VHoxb621hTYXHf/XSfzI2enc41FK9yPe6XOhJrxLaPDlIV6ThnMv/GqhD/o4NWIMjVvTAABkRCIGACAjEjEAABm1xaYPwxf3H65Xg60RSrg6PczhjWtNvznEaUlYy5aEBleF85fHecOzmTcM1LF7uHgOWX1tEl+78yFJ/D9uuL3Qxm0zLkjia2a/MYk/dtUP0ifEGvB+IX4sDe/4YJ25y/p14TFgKHwjBgAgo474RlwcJR2/Ebe+TZluVbv1I9CJztcnkrht7xNdUrMNYr1P2ePZFhEbdUQiburYkMAWhlvDt4XLPUxfKmyTeFo4HrdFnBeS6unNEmiTW+dAl5oQ7gP/Odw3XhzrRPG2sqQb9aYkPlDp7ev9j1yaxMcc+fMk/vaL6S8HT8zbM4nnhSlWF18yq9gJoAFuTQMAkBGJGACAjFry1nS9emltfZTlK4H2cE24LSxJh+rGl/4ea8JAN2rJRFxeqLkuLA7eSrZJ/Fo4GGu+cUnMKeF4rDlPCTXhWHOO7Wuu/LKNEb9ooFst1hFJvGuoET+5846F55xYu23hIiscf+XUdCrRpTo+ie+56KAk/u5Jf5PEb9nqV0l8yex0TdyLL6xTE/54zWCsu4p9AmpxaxoAgIxIxAAAZEQiBgAgI3Mf+YnlfX193t/fv8XaN2tWk1Vakz0uHLyz2KbfX3P+vsXjw7K88WA04C/MbMDd+3L3Yyhb+lqOg7nepx8Vzhmvp1/6+6H6j8Lxf9RXCo+9TTV13/8darijwslhJM2jp6aTlSfeEvZBlKQ3sGAHUo2uZb4RAwCQEYkYAICMOnT6UvVK345u1n6YssStamAL+vqWnVL0Fl2dxL/S27bo66G9dWgijvOIGye22npxPYUk/JkQx7Wno7hW9fVx7WvmDQP1NKsJR9doZp1Hw2MxCY8NbZyabpO4XFOS+JPf/176hFAifsvJVw3ZP6Aebk0DAJARiRgAgIza8tb05iwBmUxpOr3OdKZzhjhXKi5pmUGz9beBdtRsren31XnsUW1c5nLi+XWmDp0cpg5d0lpLTPrqYn9sZ6Y7dbNKErGZzZR0ntbPwPu2u59VRbtlpJtENKnhNhNrwten4T7+YMOnP3DVa5q8AAkVqOdHep9O1rdfimuT8GabkYa3Tp+axId+/aY0/nMaa7vQ3gtp+Kuzjyy+5mwSLYZW+ta0mY2SdL6koyTtL+kDZrZ/2XYBAOgGVdSID5a03N0fdPfnJF0i6V0VtAsAQMer4tb0HpIeqYlXSHpDBe2WMtzb0YWtEAG0hN9qwkt/33oTzv+aTk7iUyvuD1C1KhJxvZEQhYKImc2SNEuSent7S71gHKRUHMhU3H84MS+cf26s0YZ5yKvC8Ten4a56PIn30kNJ/KYjb0zi702JA1SaDyZhYBZaRZXXcm39V5J0UXot/PakXZP4szoviX98wEeS+Ny/SpPw+kZCnF6eev3Yu9IH4pCPlSH+U4h3D3GsIQcMzEJUxa3pFZIm1cR7qvhfV+4+39373L2vp6engpcFkAPXMlCtKhLxrZL2NbO9zGxrSe+X9PMK2gUAoOOVvjXt7uvM7BRJV2r99KXvuPvdpXvWQOnpSABawtpn0lvRY4c4D+hklcwjdvdFkhZV0dbmCTXhuABHLCHPDfXWuFb06eH4A2m41elpkWis1ibxK3VfEj+t7ZP46L0vTeJfrHqvAEiPnpTu9dv79XT8xY9WnpTGr07jQn1XKtSEdWyI/1eIDwjxLSHeNcTrQtykRgxELHEJAEBGJGIAADJqybWmWVe5Xh387MI53faeoP2wrvIGF9a8D3VWwNSkLnxP8JKWTMTNhaQ0JSSk5SGJXRpqxgekexDbcY03ddjtsrTI9Mxz6flv1ZIkfiSZzVWsIT+h8eEFwgs2298Y6BBrx6ZLdOywNuw1HOfojgrxn5Ru8vC3debkh7WltTDEfSGOcz52DnGsAT+uxt7c5Di6HremAQDIiEQMAEBGbXprujzWlgY6RL3b0UAbaclEPOxBSMuLg7sSC8M843NDTfhONYxXfWZyEr9n7x8k8eNhYuEEPZbEW+u5ht17+SmPpg+cIj259cRwFgOz0H6aDcwatyi9Nm44enoSzzhkIH3CmtDAeWp8XJJeHuI47/eqEMe6dFxOO+xHHpYJKOxPrGslXcxgLAyNW9MAAGREIgYAIKOWvDXNPGLJ9i0+5vePfD+AMk5WcTDG+V24Q/DP9fYkPkZXZuoJWlFLJuLymuxHHOfpxrWp41qzT6aDQX669MQk3u+g25L4BC1I4ov00STeJyxevebSUA/urt850MWuOfqNSXzoQzelJ1wSnjA1xAeGeJKKfhLiWPONa0ffEOKwXbH2CnGsS4edK37+rXoreAAbcWsaAICMSMQAAGREIgYAIKOWrBFvzsCs2uc0G+hkx4WDC8PgsAPC678vnP/uNFy2Y1qo+mKhcJV6Zu9tk3i3Ex7SytrC0wkNnw60jWYDsw79fzcVH3xdzZzbA+ss1nFUzfH/Csdj/VaSDg9xHPQY9yveJcRx3nFce/qQOq956sY+HlPnMFCLb8QAAGREIgYAIKOWvDW9JST7+x7beNvDHOrNnY66bS41UNfZNbej4xaGreKijX387UlxfpTUG5bBRXdry0TcNCEV1p4O84oXPiv3jcnYYhlq4ZfSmnNMkg+E1/9GaCDuL7wqhA+EQlasUQPd4nWN12D+1lEfSuJPnv299IR+SbMb1Iyl9fOED9t4zhlKr7ezfnFmev614flx7nIU9yN+dZPzgYBb0wAAZEQiBgAgIxIxAAAZlaoRm9l7JZ0paT9JB7t7fxWdKmu4g5qanR+PFwdWhRp0XLtajTdsKNSoAUiSPqmL0wdmX1z/xL84rPm+v2fFxdwfOjON49iqj6qoZ+jXOU+fSuIntVPhHIZdolbZb8R3STpO0nUV9AUAgK5T6huxuy+TJOMrHQAAm2XEpi+Z2SxJsySptzfuQ9Za2A8ZGFo7XcuS9Kh2LDw2UU9m6AlQX9NEbGaLJU2sc2iOu/9sU1/I3edLmi9JfX19zQs5LazqpEySRzvppGtZkvR31f4In9UFlbaHztc0Ebv7ESPREQAAuhHTlwAAyKjs9KVjJf2rpB5Jl5vZ7e7+9kp61sGoQQOdY91TxcGqo8e1/x17jJyyo6YXSlpYUV9aBkkR6BwMzEKr49Y0AAAZkYgBAMiIRAwAQEZtuR9xu6MGDXQOBmahLL4RAwCQEYkYAICMSMQAAGREIgYAICMSMQAAGZGIAQDIiEQMAEBGJGIAADIiEQMAkBGJGACAjEjEAABkRCIGACAjEjEAABmRiAEAyIhEDABARiRiAAAyIhEDAJARiRgAgIxKJWIzO8fM7jWzO8xsoZntWFXHAADoBmW/EV8taaq7v1bSfZL+oXyXAADoHqUSsbtf5e7rNoQ3S9qzfJcAAOgeVdaIPybpigrbAwCg441udoKZLZY0sc6hOe7+sw3nzJG0TtKCBu3MkjRLknp7ezerswDy41oGqtU0Ebv7EY2Om9lHJL1T0uHu7g3amS9pviT19fUNeR6A1sa1DFSraSJuxMxmSvq8pEPc/ZlqugQAQPcoWyP+N0k7SLrazG43s29W0CcAALpGqW/E7j6lqo4AANCNWFkLAICMSMQAAGRU6tZ0LmZfKjzmPjdDTwCUse4pKzw2ehwDsdFd+EYMAEBGJGIAADIiEQMAkBGJGACAjNpysBYDs4DOwMAsgG/EAABkRSIGACAjEjEAABmRiAEAyIhEDABARiRiAAAyasvpS1GztaerXpu6XnvDMqX42n5/uSaBTnCELi88tlh//dLfL9GxhePv18JyL3pFut71H47aJol3uuDZ9PwZ4fnfr9PmWUzLwqbjGzEAABmRiAEAyIhEDABARm1ZI96UGq3Zs8M4fnY4OjvE8Xj1bGlNsKTOCae11x7MI123R5sK9Vkd9cviOYM15/S8u3j8gprjx9V5jX9Pw/+Y/dYkntmwg5vpb2r6tDYc+3ad83tau6b8kHYvPLaXVm4MbinuK603tPbP1EraMhHXk37IxyQ8W+7bNDg+THGw1QHh+D5puNXpfwonpPGLv9uuXH+ADrH4indKR9V8gA+mH/DvH/y/adK6oE4CGK4703CnP4fPh9+G8xeFOH6KjirfJXQXbk0DAJARiRgAgIxK3Zo2s3+W9C5JL0p6XNJJ7r6y8bM2pd1YP4w12zrP+UGT40sbHwdQvTOUXstnDZzZ/El/W3O7+Z/qHJ9Tc7x3s7oFtJSyNeJz3P2LkmRmf6f1l82nS/dquBY0GeQzsE3j+Inw/G+G589LPw322fvuJH5HKBrto+VJ/CbdmMTbKq1BLZ5weBLPnVocyLTmtMJDLa7xL08MzIIknXXU55L4jL/9l/SEuL5HXPjm5yGu94kWvhrMPGFJ4+f8JMRr0vD5x+u8Ro0xY8MD00JcXLNEOqlxm7ntqCcbn8DArFJK3Zp296dqwu0k8a8BAMAwlB41bWZfkfRhrf+98dDSPQIAoIs0TcRmtljSxDqH5rj7z9x9jqQ5ZvYPkk6RVPeeo5nNkjRLknp7e8Oxkms3o+1szjiA2iloyKfRtazvh+lEHzxzZDqFrP4jfAd70wtpOW7cD58rPumD3ED9C3Ov5s0ws1dIutzdpzY7t6+vz/v7+2ue22TxhzAQa6vD03m40ybcnsSxJrsyTEY/IEwcvE+vTOK1Sos8fepveHzuqq+mHUxPl34f4jit+Jg0/M6kExR9QV8uPLZSexUeaxck4k1jZgPu3pe7H0OJ13IhEUvpB+6ccPyFcO7tIQ71We3apEP1jt8S4nEhDl9HHrs2jVeH058PcVyVIP4vfW0cUHagin7W3kmJRNxco2u5VI3YzPatCY+RdG+Z9gAA6DZla8RnmdmrtH760sPKMWIaAIA2VioRu/t7quoIAADdqLIa8bBe1GxQ679Bt5Lxkp7I3YmMuv3nl1rzPXiFu/fk7sRQuJZbFu9B670HQ17LWRJxKzKz/lYeFLOldfvPL/EedAr+HXkPpPZ6D1hrGgCAjEjEAABkRCLeaH7uDmTW7T+/xHvQKfh35D2Q2ug9oEYMAEBGfCMGACAjEvxLVwUAAAuKSURBVDEAABmRiAEAyIhEDABARiRiAAAyIhEDAJARiRgAgIxIxAAAZEQiBgAgIxIxAAAZkYgBAMiIRAwAQEYkYgAAMiIRAwCQEYkYAICMSMQAAGREIgYAICMSMQAAGZGIAQDIiEQMAEBGJGIAADIiEQMAkBGJGACAjEjEAABkRCIGACAjEjEAABmRiAEAyIhEDABARiRiAAAyIhEDAJARiRgAgIxIxAAAZEQiBgAgo9E5XnT8+PE+efLkHC8NtJWBgYEn3L0ndz+GwrUMbJpG13LpRGxmL5N0naSxG9q71N3nNnrO5MmT1d/fX/algY5nZg/n7kMjXMvApml0LVfxjXitpMPc/Y9mNkbS9WZ2hbvfXEHbAAB0tNKJ2N1d0h83hGM2/PGy7QIA0A0qGaxlZqPM7HZJj0u62t1vqaJdAAA6XSWJ2N1fcPcDJe0p6WAzmxrPMbNZZtZvZv2Dg4NVvCyADLiWgWpVOn3J3Z+UtETSzDrH5rt7n7v39fS07CBQAE1wLQPVKp2IzazHzHbc8PdtJB0h6d6y7QIA0A2qGDW9m6TvmtkorU/sP3b3X1bQLgAAHa+KUdN3SJpWQV8AAOg6LHEJAEBGJGIAADIiEQMAkBGJGACAjEjEAABkRCIGACAjEjEAABmRiAEAyIhEDABARiRiAAAyIhEDAJARiRgAgIxIxAAAZEQiBgAgIxIxAAAZkYgBAMiIRAwAQEYkYgAAMiIRAwCQEYkYAICMSMQAAGREIgYAIKPSidjMJpnZNWa2zMzuNrPPVtExAAC6wegK2lgn6TR3X2pmO0gaMLOr3f2eCtoGAKCjlf5G7O6r3H3phr8/LWmZpD3KtgsAQDeotEZsZpMlTZN0S5XtAgDQqSpLxGa2vaSfSvqcuz9V5/gsM+s3s/7BwcGqXhbACONaBqpVSSI2szFan4QXuPtl9c5x9/nu3ufufT09PVW8LIAMuJaBalUxatokXShpmbt/rXyXAADoHlV8I54h6UOSDjOz2zf8eUcF7QIA0PFKT19y9+slWQV9AQCg67CyFgAAGZGIAQDIiEQMAEBGJGIAADIiEQMAkBGJGACAjEjEAABkRCIGACAjEjEAABmRiAEAyIhEDABARiRiAAAyIhEDAJARiRgAgIxIxAAAZEQiBgAgIxIxAAAZkYgBAMiIRAwAQEYkYgAAMiIRAwCQEYkYAICMSMQAAGRUSSI2s++Y2eNmdlcV7QEA0C2q+kZ8kaSZFbUFAEDXqCQRu/t1klZX0RYAAN1kxGrEZjbLzPrNrH9wcHCkXhZAxbiWgWqNWCJ29/nu3ufufT09PSP1sgAqxrUMVItR0wAAZEQiBgAgo6qmL/1Q0k2SXmVmK8zs41W0CwBApxtdRSPu/oEq2gEAoNtwaxoAgIxIxAAAZEQiBgAgIxIxAAAZkYgBAMiIRAwAQEYkYgAAMiIRAwCQEYkYAICMSMQAAGREIgYAICMSMQAAGZGIAQDIiEQMAEBGJGIAADIiEQMAkBGJGACAjEjEAABkRCIGACAjEjEAABmRiAEAyIhEDABARpUkYjObaWa/NrPlZnZGFW0CANANSidiMxsl6XxJR0naX9IHzGz/su0CANANqvhGfLCk5e7+oLs/J+kSSe+qoF0AADpeFYl4D0mP1MQrNjwGAACaqCIRW53HvHCS2Swz6zez/sHBwQpeFkAOXMtAtapIxCskTaqJ95S0Mp7k7vPdvc/d+3p6eip4WQA5cC0D1aoiEd8qaV8z28vMtpb0fkk/r6BdAAA63uiyDbj7OjM7RdKVkkZJ+o673126ZwAAdIHSiViS3H2RpEVVtAUAQDdhZS0AADIiEQMAkBGJGACAjEjEAABkRCIGACAjEjEAABmRiAEAyIhEDABARiRiAAAyIhEDAJARiRgAgIxIxAAAZEQiBgAgIxIxAAAZkYgBAMiIRAwAQEYkYgAAMiIRAwCQEYkYAICMSMQAAGREIgYAICMSMQAAGZGIAQDIqFQiNrP3mtndZvaimfVV1SkAALpF2W/Ed0k6TtJ1FfQFAICuM7rMk919mSSZWTW9AQCgy4xYjdjMZplZv5n1Dw4OjtTLAqgY1zJQraaJ2MwWm9lddf68azgv5O7z3b3P3ft6eno2v8cAsuJaBqrV9Na0ux8xEh0BAKAbMX0JAICMyk5fOtbMVkh6o6TLzezKaroFAEB3KDtqeqGkhRX1BQCArsOtaQAAMiIRAwCQEYkYAICMSMQAAGREIgYAICMSMQAAGZGIAQDIiEQMAEBGJGIAADIiEQMAkBGJGACAjEjEAABkRCIGACAjEjEAABmRiAEAyIhEDABARiRiAAAyIhEDAJARiRgAgIxIxAAAZEQiBgAgIxIxAAAZlUrEZnaOmd1rZneY2UIz27GqjgEA0A3KfiO+WtJUd3+tpPsk/UP5LgEA0D1KJWJ3v8rd120Ib5a0Z/kuAQDQPaqsEX9M0hUVtgcAQMcb3ewEM1ssaWKdQ3Pc/WcbzpkjaZ2kBQ3amSVpliT19vZuVmcB5Me1DFSraSJ29yMaHTezj0h6p6TD3d0btDNf0nxJ6uvrG/I8AK2NaxmoVtNE3IiZzZT0eUmHuPsz1XQJAIDuUbZG/G+SdpB0tZndbmbfrKBPAAB0jVLfiN19SlUdAQCgG7GyFgAAGZGIAQDIiEQMAEBGJGIAADIiEQMAkBGJGACAjEjEAABkRCIGACAjEjEAABmRiAEAyIhEDABARiRiAAAyIhEDAJARiRgAgIxIxAAAZEQiBgAgIxIxAAAZkYgBAMiIRAwAQEYkYgAAMiIRAwCQEYkYAICMSMQAAGRUKhGb2T+b2R1mdruZXWVmu1fVMQAAukHZb8TnuPtr3f1ASb+U9E8V9AkAgK5RKhG7+1M14XaSvFx3AADoLqPLNmBmX5H0YUlrJB3a4LxZkmZJUm9vb9mXBZAJ1zJQrabfiM1ssZndVefPuyTJ3ee4+yRJCySdMlQ77j7f3fvcva+np6e6nwDAiOJaBqrV9Buxux+xiW39QNLlkuaW6hEAAF2k7KjpfWvCYyTdW647AAB0l7I14rPM7FWSXpT0sKRPl+8SAADdw9xHfqCzmQ1qfeJuJeMlPZG7Exl1+88vteZ78Ap3b9lCLNdyy+I9aL33YMhrOUsibkVm1u/ufbn7kUu3//wS70Gn4N+R90Bqr/eAJS4BAMiIRAwAQEYk4o3m5+5AZt3+80u8B52Cf0feA6mN3gNqxAAAZMQ3YgAAMiIR1zCzc8zs3g1bOy40sx1z92kkmNlMM/u1mS03szNy92ekmdkkM7vGzJaZ2d1m9tncfUI5XMtcy+10LXNruoaZHSnpv9x9nZl9VZLc/fOZu7VFmdkoSfdJepukFZJulfQBd78na8dGkJntJmk3d19qZjtIGpD07m56DzoN1zLXcjtdy3wjruHuV7n7ug3hzZL2zNmfEXKwpOXu/qC7PyfpEknvytynEeXuq9x96Ya/Py1pmaQ98vYKZXAtcy2307VMIh7axyRdkbsTI2APSY/UxCvUBv9xtxQzmyxpmqRb8vYEFeJa7kLtdC2X3o+43ZjZYkkT6xya4+4/23DOHEnrtH5rx05ndR7rynqFmW0v6aeSPufuT+XuDxrjWi7gWt6g3a7lrkvEzbZ1NLOPSHqnpMO9OwroKyRNqon3lLQyU1+yMbMxWn/hLnD3y3L3B81xLRdwLas9r2UGa9Uws5mSvibpEHcfzN2fkWBmo7V+gMfhkn6n9QM8TnD3u7N2bASZmUn6rqTV7v653P1BeVzLXMvtdC2TiGuY2XJJYyX9fsNDN7t7x2/taGbvkPQvkkZJ+o67fyVzl0aUmb1Z0q8k3an1W3pK0j+6+6J8vUIZXMtcy2qja5lEDABARoyaBgAgIxIxAAAZkYgBAMiIRAwAQEYkYgAAMiIRAwCQEYkYAICMSMQAAGT0/wGmsB8keASG8wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "test=save_dihedrals(phipsi,resnames, combined_weights, \"ALA\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "id": "487d4826",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "7\n",
      "[[0.00000000e+00 0.00000000e+00 0.00000000e+00 ... 2.33671608e-04\n",
      "  0.00000000e+00 0.00000000e+00]\n",
      " [6.67534587e-05 3.33778371e-05 0.00000000e+00 ... 6.00737606e-04\n",
      "  5.00650875e-04 1.00116809e-04]\n",
      " [3.33778371e-05 3.33912114e-05 0.00000000e+00 ... 1.76879825e-03\n",
      "  8.01012459e-04 2.67006005e-04]\n",
      " ...\n",
      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 ... 0.00000000e+00\n",
      "  0.00000000e+00 0.00000000e+00]\n",
      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 ... 0.00000000e+00\n",
      "  0.00000000e+00 0.00000000e+00]\n",
      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 ... 0.00000000e+00\n",
      "  3.33622473e-05 0.00000000e+00]]\n",
      "[[0.00000000e+00 0.00000000e+00 0.00000000e+00 ... 3.33816583e-05\n",
      "  0.00000000e+00 0.00000000e+00]\n",
      " [9.53620839e-06 4.76826245e-06 0.00000000e+00 ... 8.58196581e-05\n",
      "  7.15215536e-05 1.43024012e-05]\n",
      " [4.76826245e-06 4.77017306e-06 0.00000000e+00 ... 2.52685464e-04\n",
      "  1.14430351e-04 3.81437150e-05]\n",
      " ...\n",
      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 ... 0.00000000e+00\n",
      "  0.00000000e+00 0.00000000e+00]\n",
      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 ... 0.00000000e+00\n",
      "  0.00000000e+00 0.00000000e+00]\n",
      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 ... 0.00000000e+00\n",
      "  4.76603533e-06 0.00000000e+00]]\n"
     ]
    }
   ],
   "source": [
    "n=0\n",
    "hist=np.zeros((50,50))\n",
    "\n",
    "for key in test:\n",
    "    n+=1;\n",
    "    hist+=test[key]['init']\n",
    "\n",
    "print(n)\n",
    "print(hist)\n",
    "print(hist/n)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "id": "20f26348",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_dihedral(phipsi,resnames, combined_weights, \"ALA\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "id": "1e9361cd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "        0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n",
       "       [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "        0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n",
       "       [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "        2.00173484e-04, 1.33448989e-04, 3.33622473e-05],\n",
       "       ...,\n",
       "       [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "        0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n",
       "       [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "        0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n",
       "       [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "        0.00000000e+00, 0.00000000e+00, 0.00000000e+00]])"
      ]
     },
     "execution_count": 97,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test[10]['init']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "id": "b15d5ae6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_dihedral(phipsi,resnames, combined_weights, \"GLU\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "id": "74bf9fca",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_dihedral(phipsi,resnames, combined_weights, \"VAL\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "id": "fd89c386",
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_dihedral_average(data:\"np.array with dimensions: (phi,psi),(N_frames),(N_residues-1)\",\n",
    "                  resnames:\"3 letter strings of sequence\", weights:\"reweight data\", \n",
    "                  residue:\"residue type to plot\", stride=1):\n",
    "    idx_= np.where(resnames[1:-1]==residue)[0]\n",
    "    #print(idx_)\n",
    "    #fig, ax = plt.subplots(2, 2, figsize=((8,8)), sharex = True, sharey = True)\n",
    "    fig, ax = plt.subplots(2, 2, figsize=((8,8)), sharex = True, sharey = True)\n",
    "    hist_i=ax[0,0].hist2d(data[0,::stride,idx_+1].mean(0).flatten(), data[-1,::stride,idx_].mean(0).flatten(), bins=50,range=[[-3.14,3.14],[-3.14,3.14]], norm=colors.LogNorm(),cmap='jet')\n",
    "    print((data[-1,::stride,idx_].mean(0).flatten().shape))\n",
    "    hist_r=ax[0,1].hist2d(data[0,::stride,idx_+1].mean(0).flatten(), data[-1,::stride,idx_].mean(0).flatten(),weights=weights, bins=50,range=[[-3.14,3.14],[-3.14,3.14]], norm=colors.LogNorm(),cmap='jet')\n",
    "    print((data[-1,::stride,idx_].mean(0).flatten().shape))\n",
    "    hist_init=hist_i[0]/np.sum(hist_i[0])\n",
    "    hist_re=hist_r[0]/np.sum(hist_r[0])\n",
    "    xedges=hist_i[1]\n",
    "    yedges=hist_i[2]\n",
    "    hist_diff=hist_init - hist_re\n",
    "        #hist_int - hist_re = hist_diff. For +hist_diff.T red is a descrease, blue is increase )\n",
    "    ax[1,0].pcolorfast(xedges, yedges, hist_diff.T,cmap='seismic')\n",
    "        # -hist_diff.T shows log plot of regions with an increase density, and regions with a decrease are blank\n",
    "    ax[1,1].pcolorfast(xedges, yedges, -hist_diff.T,norm=colors.LogNorm(),cmap='jet')\n",
    "    for axes in ax.flat:\n",
    "        axes.set_xlabel(r\"$\\phi$\", size = 20)\n",
    "        axes.set_ylabel(r\"$\\psi$\",size = 20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "id": "632975f6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(29976,)\n",
      "(29976,)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_dihedral_average(phipsi,resnames, combined_weights, 'ALA')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "id": "30b61883",
   "metadata": {},
   "outputs": [],
   "source": [
    "def save_dihedrals(data:\"np.array with dimensions: (phi,psi),(N_frames),(N_residues-1)\",\n",
    "                  resnames:\"3 letter strings of sequence\", weights:\"reweight data\", \n",
    "                  residue:\"residue type to plot\",stride=1):\n",
    "    idx_= np.where(resnames[1:-1]==residue)[0]\n",
    "    out_dictionary={}\n",
    "    for idx in idx_:\n",
    "        print(idx)\n",
    "        out_dictionary[idx]={}\n",
    "        fig, ax = plt.subplots(2, 2, figsize=((8,8)), sharex = True, sharey = True)\n",
    "        hist_i=ax[0,0].hist2d(data[0,::stride,idx+1].flatten(), data[-1,::stride,idx].flatten(), bins=50,range=[[-3.14,3.14],[-3.14,3.14]], norm=colors.LogNorm(),cmap='jet')\n",
    "        hist_r=ax[0,1].hist2d(data[0,::stride,idx+1].flatten(), data[-1,::stride,idx].flatten(),weights=weights, bins=50,range=[[-3.14,3.14],[-3.14,3.14]], norm=colors.LogNorm(),cmap='jet')\n",
    "        hist_init=hist_i[0]/np.sum(hist_i[0])\n",
    "        hist_re=hist_r[0]/np.sum(hist_r[0])\n",
    "        xedges=hist_i[1]\n",
    "        yedges=hist_i[2]\n",
    "        hist_diff=hist_init - hist_re\n",
    "        out_dictionary[idx]['init']=hist_init\n",
    "        out_dictionary[idx]['reweight']=hist_re\n",
    "        out_dictionary[idx]['diff']=hist_diff\n",
    "    return out_dictionary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "id": "92261f6b",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10\n",
      "33\n",
      "36\n",
      "40\n",
      "45\n",
      "56\n",
      "60\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "test=save_dihedrals(phipsi,resnames, combined_weights, \"ALA\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "id": "a2dfe769",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "7\n",
      "[[0.00000000e+00 0.00000000e+00 0.00000000e+00 ... 2.33671608e-04\n",
      "  0.00000000e+00 0.00000000e+00]\n",
      " [6.67534587e-05 3.33778371e-05 0.00000000e+00 ... 6.00737606e-04\n",
      "  5.00650875e-04 1.00116809e-04]\n",
      " [3.33778371e-05 3.33912114e-05 0.00000000e+00 ... 1.76879825e-03\n",
      "  8.01012459e-04 2.67006005e-04]\n",
      " ...\n",
      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 ... 0.00000000e+00\n",
      "  0.00000000e+00 0.00000000e+00]\n",
      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 ... 0.00000000e+00\n",
      "  0.00000000e+00 0.00000000e+00]\n",
      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 ... 0.00000000e+00\n",
      "  3.33622473e-05 0.00000000e+00]]\n",
      "[[0.00000000e+00 0.00000000e+00 0.00000000e+00 ... 3.33816583e-05\n",
      "  0.00000000e+00 0.00000000e+00]\n",
      " [9.53620839e-06 4.76826245e-06 0.00000000e+00 ... 8.58196581e-05\n",
      "  7.15215536e-05 1.43024012e-05]\n",
      " [4.76826245e-06 4.77017306e-06 0.00000000e+00 ... 2.52685464e-04\n",
      "  1.14430351e-04 3.81437150e-05]\n",
      " ...\n",
      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 ... 0.00000000e+00\n",
      "  0.00000000e+00 0.00000000e+00]\n",
      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 ... 0.00000000e+00\n",
      "  0.00000000e+00 0.00000000e+00]\n",
      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 ... 0.00000000e+00\n",
      "  4.76603533e-06 0.00000000e+00]]\n"
     ]
    }
   ],
   "source": [
    "n=0\n",
    "hist=np.zeros((50,50))\n",
    "\n",
    "for key in test:\n",
    "    n+=1;\n",
    "    hist+=test[key]['init']\n",
    "\n",
    "print(n)\n",
    "print(hist)\n",
    "print(hist/n)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "id": "fa21ffbb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_keys([10, 33, 36, 40, 45, 56, 60])"
      ]
     },
     "execution_count": 104,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "id": "0410fc69",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "' [MET1, ASP2, TYR3, LYS4, ASP5, ASP6, ASP7, ASP8, LYS9, ASN10, ARG11, ALA12, LEU13, SER14, PRO15, MET16, VAL17, SER18, GLU19, PHE20, GLU21, THR22, ILE23, GLU24, GLN25, GLU26, ASN27, SER28, TYR29, ASN30, GLU31, TRP32, LEU33, ARG34, ALA35, LYS36, VAL37, ALA38, THR39, SER40, LEU41, ALA42, ASP43, PRO44, ARG45, PRO46, ALA47, ILE48, PRO49, HIS50, ASP51, GLU52, VAL53, GLU54, ARG55, ARG56, MET57, ALA58, GLU59, ARG60, PHE61, ALA62, LYS63, MET64, ARG65, LYS66, GLU67, ARG68, SER69, LYS70, GLN71]'"
      ]
     },
     "execution_count": 103,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sequence"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "id": "658c5db7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{10: {'init': array([[0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "          0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n",
       "         [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "          0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n",
       "         [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "          2.00173484e-04, 1.33448989e-04, 3.33622473e-05],\n",
       "         ...,\n",
       "         [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "          0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n",
       "         [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "          0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n",
       "         [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "          0.00000000e+00, 0.00000000e+00, 0.00000000e+00]]),\n",
       "  'reweight': array([[0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "          0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n",
       "         [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "          0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n",
       "         [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "          3.66888055e-04, 6.47313183e-05, 1.51797032e-05],\n",
       "         ...,\n",
       "         [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "          0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n",
       "         [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "          0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n",
       "         [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "          0.00000000e+00, 0.00000000e+00, 0.00000000e+00]]),\n",
       "  'diff': array([[ 0.00000000e+00,  0.00000000e+00,  0.00000000e+00, ...,\n",
       "           0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
       "         [ 0.00000000e+00,  0.00000000e+00,  0.00000000e+00, ...,\n",
       "           0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
       "         [ 0.00000000e+00,  0.00000000e+00,  0.00000000e+00, ...,\n",
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       "          0.00000000e+00, 0.00000000e+00, 0.00000000e+00]]),\n",
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       "           0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
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       " 40: {'init': array([[0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
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       "         [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "          0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n",
       "         [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "          0.00000000e+00, 0.00000000e+00, 0.00000000e+00]]),\n",
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       "         [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
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       "           8.06619958e-05,  0.00000000e+00,  0.00000000e+00],\n",
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       "           0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
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       " 45: {'init': array([[0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
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       "         [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "          0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n",
       "         [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
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       "          0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n",
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       "          0.00000000e+00, 0.00000000e+00, 0.00000000e+00]]),\n",
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       "         [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
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       "         [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
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       "           0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
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       "           0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
       "         [ 0.00000000e+00,  0.00000000e+00,  0.00000000e+00, ...,\n",
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       " 60: {'init': array([[0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
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       "          1.33448989e-04, 3.33622473e-05, 0.00000000e+00],\n",
       "         ...,\n",
       "         [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "          0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n",
       "         [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "          0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n",
       "         [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "          0.00000000e+00, 3.33622473e-05, 0.00000000e+00]]),\n",
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       "          7.73810033e-05, 4.71824849e-06, 0.00000000e+00],\n",
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       "          0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n",
       "         [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "          0.00000000e+00, 0.00000000e+00, 0.00000000e+00],\n",
       "         [0.00000000e+00, 0.00000000e+00, 0.00000000e+00, ...,\n",
       "          0.00000000e+00, 9.03222683e-07, 0.00000000e+00]]),\n",
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       "           5.60679858e-05,  2.86439988e-05,  0.00000000e+00],\n",
       "         ...,\n",
       "         [ 0.00000000e+00,  0.00000000e+00,  0.00000000e+00, ...,\n",
       "           0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
       "         [ 0.00000000e+00,  0.00000000e+00,  0.00000000e+00, ...,\n",
       "           0.00000000e+00,  0.00000000e+00,  0.00000000e+00],\n",
       "         [ 0.00000000e+00,  0.00000000e+00,  0.00000000e+00, ...,\n",
       "           0.00000000e+00,  3.24590246e-05,  0.00000000e+00]])}}"
      ]
     },
     "execution_count": 105,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "511e4cb2",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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