research/old/cliffordexp.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import tikzplotlib\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "from qreservoirpy import util\n",
    "from qreservoirpy.reservoirs import Static\n",
    "from qreservoirpy.plot import state_plotter\n",
    "\n",
    "from qiskit_aer import AerSimulator\n",
    "backend = AerSimulator(method=\"stabilizer\")\n",
    "\n",
    "from qiskit.circuit.library.standard_gates import HGate, SGate, CXGate\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Initialization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_qubits = 4\n",
    "SHOTS = 10000\n",
    "timeseries = [0, 1, 1, 2, 1, 1, 2] * 5\n",
    "encoder = {\n",
    "    0: '00',\n",
    "    1: '01',\n",
    "    2: '10',\n",
    "    3: '11'\n",
    "} \n",
    "\n",
    "circop = util.random_circuit(n_qubits, gates=[\n",
    "    HGate, SGate, CXGate#, TGate\n",
    "], depth=40)\n",
    "\n",
    "OP = circop.to_gate(label='RES')\n",
    "class RandomClifford(Static):\n",
    "    def before(self, circuit):\n",
    "        circuit.h(circuit.qubits)\n",
    "\n",
    "    # What to do every timestep\n",
    "    def during(self, circuit, timestep):\n",
    "        circuit.measure(range(2))\n",
    "        circuit.initialize(encoder[timestep], range(2))\n",
    "        circuit.append(OP, circuit.qubits)\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.svm import SVC\n",
    "from sklearn.linear_model import RidgeClassifier\n",
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "models = np.array([\n",
    "    SVC(kernel=ker, max_iter=1000) for ker in ['linear', 'poly', 'rbf', 'sigmoid']\n",
    "] \n",
    "+ [\n",
    "    RidgeClassifier(alpha=alph, max_iter=1000) for alph in np.linspace(0, 1e-3, 9)\n",
    "] \n",
    "+ [\n",
    "    KNeighborsClassifier(n_neighbors=n) for n in range(1, 10)\n",
    "]\n",
    ", dtype=object)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "    \n",
    "\n",
    "qres = RandomClifford(n_qubits=n_qubits)\n",
    "# fig = qres.circuit.draw('mpl')\n",
    "# tikzplotlib.save(\"data/circuit_clifford.tex\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1207.22x451.5 with 1 Axes>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qres.circuit([0, 1, 2], merge_registers=True, transpile=False).draw('mpl')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Running"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "states = qres.run(\n",
    "    timeseries=timeseries, \n",
    "    shots=SHOTS,\n",
    "    transpile=True\n",
    ")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABlMAAANECAYAAAAkPNn9AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAB48klEQVR4nOzdf3TkZ30f+rdm/As7MzJg7JVXK8abUEcowSYGjCmT7m198LJ7uOtO1AUlDcQNpr0XUm3cNjf0JuZHUkxCDlmlITjtrS83lyBYdNT8qBydpm5clOJAA4Fw1W1CsgjtLlobQrwjTDFEo/uHvfLK2h1La2lG0rxe5+iw88wz8/2MLKR55v19Pt+uxcXFxQAAAAAAAHBOhXYXAAAAAAAAsJkJUwAAAAAAAJoQpgAAAAAAADQhTAEAAAAAAGhCmAIAAAAAANCEMAUAAAAAAKAJYQoAAAAAAEATwhQAAAAAAIAmhCkAAAAAAABNCFMAAAAAAACaEKYAbCMf+tCH0tXVdc6vn/7pn96QY37yk5/MO9/5zjz66KMb8vzPxje+8Y284x3vyN69e/O85z0vXV1d+dCHPtTusgAAgDayblruv/23/5a3ve1tGRgYyBVXXJG+vr4cPHgwf/7nf97u0gA2lYvaXQAA6+/d7353rrvuumVj3/d937chx/rkJz+Zd73rXfmxH/uxXHnllRtyjAv1ta99Le9+97vT19eXG264IQ8++GC7SwIAADYJ66Yn/MIv/EL+63/9r/kH/+Af5CUveUlOnTqVX/3VX80P/MAP5I/+6I827HsCsNUIUwC2ode+9rV52cte1u4ynpXHHnssV1xxxbN6jp6enszNzWXHjh354z/+47z85S9fp+oAAICtzrrpCXfddVc+8pGP5JJLLlkae/3rX5/v//7vz3vf+958+MMffrZlAmwL2nwBdKDf+73fS7VazRVXXJFSqZT9+/dnenp62Zw//dM/zY/92I9l9+7dueyyy7Jjx478o3/0j/JXf/VXS3Pe+c535l/8i3+RJLnuuuuWtsbPzMxkZmbmvG21urq68s53vnPZ83R1deW///f/nh/+4R/Oc5/73Lz61a9euv/DH/5wbrrppjznOc/J8573vLzhDW/I8ePHn/F1XnrppdmxY8cavzsAAACds2561atetSxISZIXvehFGRgYyNGjR1fzrQLoCHamAGxDp0+fzte+9rVlY1dddVWS5P/9f//fvOlNb8ptt92WX/iFX8g3v/nNfPCDH8yrX/3q/Mmf/EkqlUqS5Pd///dz7Nix3HHHHdmxY0emp6fzb/7Nv8n09HT+6I/+KF1dXanVavnzP//zjI6O5pd/+ZeXjvGCF7wgX/3qV9dc9z/4B/8gL3rRi/Ke97wni4uLSZJ/9a/+VX72Z382Bw8ezJvf/OZ89atfzb/+1/86P/iDP5g/+ZM/2XRb5AEAgK3Buun8FhcX8/DDD2dgYGDN9QFsV8IUgG3o1ltvXTG2uLiYb3zjG/mn//Sf5s1vfnP+zb/5N0v3velNb8r111+f97znPUvj//v//r/nn/2zf7bsOV75yldmaGgof/iHf5hqtZqXvOQl+YEf+IGMjo7m9ttvX1pQJLmgRcENN9yQj3zkI0u3v/zlL+cd73hHfv7nfz7/8l/+y6XxWq2Wl770pfm1X/u1ZeMAAACrZd10fr/5m7+ZkydP5t3vfvea6wPYroQpANvQBz7wgfytv/W3Voz//u//fh599NEMDQ0tOwOrWCzm5ptvzh/8wR8sjT3nOc9Z+ve3vvWtfOMb38grX/nKJMlnP/vZVKvVda/7n/yTf7Ls9vj4eBqNRg4ePLis3h07duRFL3pR/uAP/kCYAgAAXBDrpnP7H//jf+Stb31rbrnllrzpTW9at7oBtjphCsA29IpXvOKcF1L84he/mCT5u3/3757zceVyeenfX//61/Oud70rH/3oR/PII48sm3f69Ol1rPYp11133bLbX/ziF7O4uJgXvehF55x/8cUXb0gdAADA9mfdtNKpU6eyf//+dHd3Z2xsLMVi8VnVCrCdCFMAOkij0UjyRP/fc12Y/aKLnvqzcPDgwXzyk5/Mv/gX/yI33nhjvuu7viuNRiN79+5dep5murq6zjm+sLBw3secfVbXmXq7urrye7/3e+d8E/9d3/Vdz1gHAADAWnTquun06dN57Wtfm0cffTRTU1O59tprV/U4gE4hTAHoIN/93d+dJLn66qvP2R/4jL/+67/OAw88kHe96125++67l8bPnKF1tvO9+X/uc5+bJHn00UeXjX/5y19eU72Li4u57rrrzrn9HgAAYL114rrpW9/6Vl73utflz//8z/Of/tN/yotf/OILeh6A7azQ7gIAaJ3bbrst5XI573nPe/Kd73xnxf1nLn545mymxcXFZfcfPnx4xWOuuOKKJCvf/JfL5Vx11VX5xCc+sWz8137t11Zdb61WS7FYzLve9a4VtSwuLuav/uqvVv1cAAAAq9Fp66aFhYW8/vWvz0MPPZSPf/zjueWWW1Z9bIBOYmcKQAcpl8v54Ac/mB/90R/ND/zAD+QNb3hDXvCCF2R2djYTExP523/7b+dXf/VXUy6X84M/+IP5xV/8xXznO9/Jzp078x//43/Ml770pRXPedNNNyVJ/s//8//MG97whlx88cV53etelyuuuCJvfvOb8973vjdvfvOb87KXvSyf+MQn8ud//uerrve7v/u78/M///N5+9vfnpmZmdx+++0plUr50pe+lH//7/993vKWt+Sf//N/3vQ5fvVXfzWPPvpovvKVryRJfvd3fzcnTpxIkvzET/xEuru7V10PAACw/XXauumf/bN/lt/5nd/J6173unz961/Phz/84WX3/8N/+A9XXQvAdiZMAegwP/zDP5xrr702733ve/O+970vjz/+eHbu3JlqtZo77rhjad5HPvKR/MRP/EQ+8IEPZHFxMa95zWvye7/3eyv65r785S/Pz/3cz+Xee+/N5ORkGo1GvvSlL+WKK67I3Xffna9+9asZGxvLkSNH8trXvja/93u/l6uvvnrV9f70T/90/tbf+lv55V/+5bzrXe9KkuzatSuvec1r8r/+r//rMz7+l37pl5ZtkR8fH8/4+HiSJxYFwhQAAODpOmnd9LnPfS7JEyee/e7v/u6K+4UpAE/oWnz6/j8AAAAAAACWuGYKAAAAAABAE8IUAAAAAACAJoQpAAAAAAAATQhTAAAAAAAAmhCmAAAAAAAANCFMAQAAAAAAaOKidhfQKo1GI1/5yldSKpXS1dXV7nIAAGDDLS4uZn5+Ptdee20KBedR8cysmwAA6CRrWTN1TJjyla98Jbt27Wp3GQAA0HLHjx9Pb29vu8tgC7BuAgCgE61mzdQxYUqpVEryxDelXC63uRoAANh49Xo9u3btWnovDM/EugkAgE6yljVTx4QpZ7aol8tliwIAADqKdk2slnUTAACdaDVrJo2TAQAAAAAAmhCmAAAAAAAANCFMAQAAAAAAaKJjrpkCAEBnWlhYyHe+8512l7EhLr744hSLxXaXAQAAbGHWTKsjTAEAYFtaXFzMqVOn8uijj7a7lA115ZVXZseOHS4yDwAArIk109oIUwAA2JbOLAquvvrqXH755dsubFhcXMw3v/nNPPLII0mSnp6eNlcEAABsJdZMayNMAQBg21lYWFhaFDz/+c9vdzkb5jnPeU6S5JFHHsnVV1+t5RcAALAq1kxr5wL0AABsO2f6/V5++eVtrmTjnXmN27XHMQAAsP6smdZOmAIAwLa13bapn0snvEYAAGBjdMJ6Yr1eozAFAAAAAACgCWEKAAAAAABAE8IUAAA4j4WFRh58cCajo1/Igw/OZGGh0ZLjfuADH0ilUslll12Wm2++OZ/+9KdbclwAAIC16pR100Ub+uwAALBFjY8fzfDwZE6cqC+N9faWMzKyN7Va/4Yd92Mf+1juuuuu3Hvvvbn55ptz+PDh3HbbbfmzP/uzXH311Rt2XAAAgLXqpHWTnSkAAPA04+NHMzh4ZNmCIElOnqxncPBIxsePbtix3//+9+fOO+/MHXfckRe/+MW59957c/nll+e+++7bsGMCAACsVaetm4QpAABwloWFRoaHJ7O4uPK+M2OHDk1uyNb1b3/72/nMZz6TW2+9dWmsUCjk1ltvzUMPPbTuxwMAALgQnbhuEqYAAMBZpqZmV5xZdbbFxeT48XqmpmbX/dhf+9rXsrCwkGuuuWbZ+DXXXJNTp06t+/EAAAAuRCeum4QpAABwlrm5+XWdBwAAsN104rpJmAIAAGfp6Smt67y1uOqqq1IsFvPwww8vG3/44YezY8eOdT8eAADAhejEdZMwBQAAzlKt9qW3t5yurnPf39WV7NpVTrXat+7HvuSSS3LTTTflgQceWBprNBp54IEHcsstt6z78QAAAC5EJ66bhCkAAHCWYrGQkZG9SbJiYXDm9uHDe1Msbsxb6bvuuiv/9t/+2/w//8//k6NHj+Z/+9/+tzz22GO54447NuR4AAAAa9WJ66aLNuyZAQBgi6rV+jM2djDDw5PLLqrY21vO4cN7U6v1b9ixX//61+erX/1q7r777pw6dSo33nhjJicnV1xcEQAAoJ06bd3Utbi4uLhhz76J1Ov1dHd35/Tp0ymXy+0uBwCADfStb30rX/rSl3Ldddflsssuu+DnWVhoZGpqNnNz8+npKaVa7duwM6suVLPX6j0wa+VnBgCgM6zXminZ/Oum9Voz2ZkCAADnUSwWsmdPpd1lAAAAbFqdsm7aPPEQAAAAAADAJiRMAQAAAAAAaEKYAgAAAAAA0IQwBQAAAAAAoAkXoIcN1lhYyOzUVObn5lLq6UlftZpCsdjusgAAAAAAWCVhCmygo+PjmRweTv3EiaWxcm9v9o6MpL9Wa2NlAAAAAACsljZfsEGOjo/nyODgsiAlSeonT+bI4GCOjo+3qTIAAAAAANZCmAIboLGwkMnh4WRxceWdT45NHjqUxsJCiysDAAAAAGCthCmwAWanplbsSFlmcTH148czOzXVuqIAAAAAALggwhTYAPNzc+s6DwBoj0YaOZZj+Xw+n2M5lkYaG37MT3ziE3nd616Xa6+9Nl1dXfmt3/qtDT8mAADAhWr1uqldayYXoIcNUOrpWdd5AEDrTWc6E5lIPfWlsXLK2Z/9GcjAhh33scceyw033JB/9I/+UWq12oYdBwAA4Nlqx7qpXWsmYQpsgL5qNeXe3tRPnjz3dVO6ulLu7U1ftdr64gCAZzSd6YxmdMV4PfWMZjRDGdqwhcFrX/vavPa1r92Q5wYAAFgv7Vo3tWvNpM0XbIBCsZi9IyNP3OjqWn7nk7f3Hj6cQrHY4soAgGfSSCMTmWg65/7c35KWXwAAAJtRJ66bhCmwQfprtRwcG0t5585l4+Xe3hwcG0u/th0AsCnNZGbZFvVzOZ3TmclMawoCAADYZDpx3aTNF2yg/lot1x84kNmpqczPzaXU05O+atWOFADYxOYzv67zAAAAtptOXDcJU2CDFYrFVPbsaXcZAMAqlVJa13kAAADbTSeum7T5AgCAs1RSSTnlpnO6051KKq0pCAAAYJPpxHWTMAUAAM5SSCH7s7/pnH3Zl8IGvZX+xje+kc997nP53Oc+lyT50pe+lM997nOZnZ3dkOMBAACsVTvXTe1aMwlTAADgaQYykKEMrTjTqjvdGcpQBjKwYcf+4z/+47z0pS/NS1/60iTJXXfdlZe+9KW5++67N+yYAAAAa9WudVO71kyumQIAAOcwkIH0pz8zmcl85lNKKZVUNmxHyhl79uzJ4uLihh4DAABgPbRj3dSuNZMwBQAAzqOQQnZnd7vLAAAA2LQ6Zd2kzRcAAAAAAEATwhQAAAAAAIAmhCkAAAAAAABNCFMAAAAAAACaEKYAAAAAAAA0IUwBAAAAAABoQpgCAAAAAADQhDAFAAAAAACgCWEKAAAAAABAE8IUAAA4j8bCQmYefDBfGB3NzIMPprGwsKHHu+eee/Lyl788pVIpV199dW6//fb82Z/92YYeEwAA4NnolHXTRRt+BAAA2IKOjo9ncng49RMnlsbKvb3ZOzKS/lptQ475X/7Lf8lb3/rWvPzlL8/f/M3f5F/+y3+Z17zmNfnv//2/54orrtiQYwIAAFyoTlo3CVMAAOBpjo6P58jgYLK4uGy8fvJkjgwO5uDY2IYsDCYnJ5fd/tCHPpSrr746n/nMZ/KDP/iD6348AACAC9Vp6yZtvgAA4CyNhYVMDg+vWBAkWRqbPHRow7euJ8np06eTJM973vM2/FgAAACr1YnrJmEKAACcZXZqatkW9RUWF1M/fjyzU1MbWkej0cihQ4fyt//23873fd/3beixAAAA1qIT103afAEAwFnm5+bWdd6Feutb35r/7//7//KHf/iHG3ocAACAterEdZMwBQAAzlLq6VnXeRfibW97W/7Df/gP+cQnPpHe3t4NOw4AAMCF6MR1kzZfAABwlr5qNeXe3qSr69wTurpS3rUrfdXquh97cXExb3vb2/Lv//2/z3/+z/8511133bofAwAA4NnqxHWTMAUAAM5SKBazd2TkiRtPXxg8eXvv4cMpFIvrfuy3vvWt+fCHP5yPfOQjKZVKOXXqVE6dOpX/+T//57ofCwAA4EJ14rpJmAIAAE/TX6vl4NhYyjt3Lhsv9/bm4NhY+mu1DTnuBz/4wZw+fTp79uxJT0/P0tfHPvaxDTkeAADAheq0dZNrpgAAwDn012q5/sCBzE5NZX5uLqWenvRVqxtyZtUZi4uLG/bcAAAA662T1k3CFAAAOI9CsZjKnj3tLgMAAGDT6pR1kzZfAAAAAAAATQhTAAAAAAAAmhCmAAAAAAAANCFMAQBg2+qEC7p3wmsEAAA2RiesJ9brNQpTAADYdi6++OIkyTe/+c02V7LxzrzGM68ZAADgmVgzrd1F61EMAABsJsViMVdeeWUeeeSRJMnll1+erq6uNle1vhYXF/PNb34zjzzySK688soUi8V2lwQAAGwR1kxrJ0wBAGBb2rFjR5IsLQ62qyuvvHLptQIAAKyWNdPaCFMAANiWurq60tPTk6uvvjrf+c532l3Ohrj44ovtSAEAAC6INdPaCFMAANjWisWiwAEAAOA8rJlWxwXoAQAAAAAAmhCmAAAAAAAANCFMAQAAAAAAaEKYAgAAAAAA0IQwBQAAAAAAoAlhCgAAAAAAQBPCFAAAAAAAgCaEKQAAAAAAAE1c1O4CAAAAgK2hkUZmMpP5zKeUUiqppOA8TQCgA1zQO54PfOADqVQqueyyy3LzzTfn05/+9HnnfuhDH0pXV9eyr8suu2zZnPHx8bzmNa/J85///HR1deVzn/vciuf51re+lbe+9a15/vOfn+/6ru/KD/3QD+Xhhx++kPIBAACANZrOdH4pv5T7cl8+no/nvtyXX8ovZTrT7S4NAGDDrTlM+djHPpa77ror73jHO/LZz342N9xwQ2677bY88sgj531MuVzO3Nzc0teXv/zlZfc/9thjefWrX51f+IVfOO9z/ORP/mR+93d/Nx//+MfzX/7Lf8lXvvKV1Gq1tZYPAAAArNF0pjOa0dRTXzZeTz2jGRWoAADb3prbfL3//e/PnXfemTvuuCNJcu+992ZiYiL33Xdffvqnf/qcj+nq6sqOHTvO+5w/+qM/miSZmZk55/2nT5/Ov/t3/y4f+chH8nf/7t9Nkvzf//f/nf7+/vzRH/1RXvnKV671ZQAAAACr0EgjE5loOuf+3J/+9Gv5BQBsW2t6l/Ptb387n/nMZ3Lrrbc+9QSFQm699dY89NBD533cN77xjbzwhS/Mrl27cuDAgUxPr+2Mlc985jP5zne+s+y43/u935u+vr7zHvfxxx9PvV5f9gUAAMBTrJtYjZnMrNiR8nSnczozmWlNQQAAbbCmMOVrX/taFhYWcs011ywbv+aaa3Lq1KlzPub666/Pfffdl9/+7d/Ohz/84TQajbzqVa/KiRMnVn3cU6dO5ZJLLsmVV1656uPec8896e7uXvratWvXqo8HAADQCaybWI35zK/rPACArWjD99/ecssteeMb35gbb7wxf+fv/J2Mj4/nBS94QX791399Q4/79re/PadPn176On78+IYeDwAAYKuxbmI1Simt6zwAgK1oTddMueqqq1IsFvPwww8vG3/44YebXhPlbBdffHFe+tKX5i/+4i9WfdwdO3bk29/+dh599NFlu1OaHffSSy/NpZdeuupjAAAAdBrrJlajkkrKKTdt9dWd7lRSaV1RAAAttqadKZdcckluuummPPDAA0tjjUYjDzzwQG655ZZVPcfCwkK+8IUvpKenZ9XHvemmm3LxxRcvO+6f/dmfZXZ2dtXHBQAAANaukEL2Z3/TOfuyz8XnAYBtbU07U5Lkrrvuypve9Ka87GUvyyte8YocPnw4jz32WO64444kyRvf+Mbs3Lkz99xzT5Lk3e9+d175ylfme77ne/Loo4/mfe97X7785S/nzW9+89Jzfv3rX8/s7Gy+8pWvJHkiKEme2JGyY8eOdHd358d//Mdz11135XnPe17K5XJ+4id+Irfcckte+cpXPutvAgAAAHB+AxnIUIYykYllO1S605192ZeBDLSxOgCAjbfmMOX1r399vvrVr+buu+/OqVOncuONN2ZycnLpovSzs7MpFJ46G+Wv//qvc+edd+bUqVN57nOfm5tuuimf/OQn8+IXv3hpzu/8zu8shTFJ8oY3vCFJ8o53vCPvfOc7kyS//Mu/nEKhkB/6oR/K448/nttuuy2/9mu/dkEvGgAAAFibgQykP/2ZyUzmM59SSqmkYkcKANARuhYXFxfbXUQr1Ov1dHd35/Tp0ymXy+0uBwAANpz3wKyVnxkAADrJWt7/On0EAAAAAACgCWEKAAAAAABAE8IUAAAAAACAJoQpAAAAAAAATQhTAAAAAAAAmhCmAAAAAAAANCFMAQAAAAAAaEKYAgAAAAAA0IQwBQAAAAAAoAlhCgAAAAAAQBPCFAAAAAAAgCaEKQAAAAAAAE0IUwAAAAAAAJoQpgAAAAAAADQhTAEAAAAAAGhCmAIAAAAAANCEMAUAAAAAAKAJYQoAAAAAAEATwhQAAAAAAIAmhCkAAAAAAABNCFMAAAAAAACaEKYAAAAAAAA0IUwBAAAAAABoQpgCAAAAAADQhDAFAAAAAACgCWEKAAAAAABAE8IUAAAAAACAJoQpAAAAAAAATQhTAAAAAAAAmhCmAAAAAAAANCFMAQAAAAAAaOKidhcAAAAAAAA8e400MpOZzGc+pZRSSSUFeyrWhTAFAAAAAAC2uOlMZyITqae+NFZOOfuzPwMZaGNl24NICgAAAAAAtrDpTGc0o8uClCSpp57RjGY6022qbPsQpgAAAAAAwBbVSCMTmWg65/7cn0YaLapoexKmAAAAAADAFjWTmRU7Up7udE5nJjOtKWibEqYAAAAAAMAWNZ/5dZ3HuQlTAAAAAABgiyqltK7zODdhCgAAAAAAbFGVVFJOuemc7nSnkkprCtqmhCkAAAAAALBFFVLI/uxvOmdf9qUgDnhWfPcAAAAAAGALG8hAhjK0YodKd7ozlKEMZKBNlW0fF7W7AAAAAAAA4NkZyED605+ZzGQ+8ymllEoqdqSsE2EKAAAAAABsA4UUsju7213GtiSSAgAAAAAAaEKYAgAAAAAA0IQwBQAAAAAAoAnXTAEAAAAAeAaNhYXMTk1lfm4upZ6e9FWrKRSL7S4LaBFhCgAAAABAE0fHxzM5PJz6iRNLY+Xe3uwdGUl/rdbGyoBW0eYLAAAAAOA8jo6P58jg4LIgJUnqJ0/myOBgjo6Pt6kyoJWEKQAAAAAA59BYWMjk8HCyuLjyzifHJg8dSmNhocWVAa0mTAEAAAAAOIfZqakVO1KWWVxM/fjxzE5Nta4ooC2EKQAAAAAA5zA/N7eu84CtS5gCAAAAAHAOpZ6edZ0HbF3CFAAAAACAc+irVlPu7U26us49oasr5V270lettrYwoOWEKQAAAAAA51AoFrN3ZOSJG08PVJ68vffw4RSKxRZXBrSaMAUAAAAA4Dz6a7UcHBtLeefOZePl3t4cHBtLf63WpsqAVrqo3QUAAAAAAGxm/bVarj9wILNTU5mfm0uppyd91aodKdBBhCkAAAAAAM+gUCymsmdPu8sA2kSbLwAAAAAAgCaEKQAAAAAAAE0IUwAAAAAAAJoQpgAAAAAAADThAvQAQBoLC5mdmsr83FxKPT3pq1ZTKBbbXRYAAADApiBMAYAOd3R8PJPDw6mfOLE0Vu7tzd6RkfTXam2sDAAAAGBz0OYLADrY0fHxHBkcXBakJEn95MkcGRzM0fHxNlUGAAAAsHkIUwCgQzUWFjI5PJwsLq6888mxyUOH0lhYaHFlAAAAAJuLMAUAOtTs1NSKHSnLLC6mfvx4ZqemWlcUAAAAwCYkTAGADjU/N7eu8wAAAAC2K2EKAHSoUk/Pus4DAAAA2K6EKQDQofqq1ZR7e5OurnNP6OpKedeu9FWrrS0MAAAAYJMRpgBAhyoUi9k7MvLEjacHKk/e3nv4cArFYosrAwAAANhchCkA0MH6a7UcHBtLeefOZePl3t4cHBtLf63WpsoAAAAANo+L2l0AANBe/bVarj9wILNTU5mfm0uppyd91aodKQAAAABPEqYAACkUi6ns2dPuMgAAAAA2JW2+AAAAAAAAmhCmAAAAAAAANCFMAQAAAAAAaEKYAgAAAAAA0IQwBQAAAAAAoAlhCgAAAAAAQBPCFAAAAAAAgCaEKQAAAAAAAE0IUwAAAAAAAJoQpgAAAAAAADQhTAEAAAAAAGhCmAIAAAAAANDERe0uAACA1WukkZnMZD7zKaWUSiopOD8GAAAANpQwBQBgi5jOdCYykXrqS2PllLM/+zOQgTZWBgAAANub0xgBALaA6UxnNKPLgpQkqaee0YxmOtNtqgwAAAC2P2EKAMAm10gjE5loOuf+3J9GGi2qCAAAADqLMAUAYJObycyKHSlPdzqnM5OZ1hQEAAAAHUaYAgCwyc1nfl3nAQAAAGvjAvQAAJtcKaV1nQcAbC6NhYXMTk1lfm4upZ6e9FWrKRSL7S4LADiLMAUAYJOrpJJyyk1bfXWnO5VUWlcUALAujo6PZ3J4OPUTJ5bGyr292Tsykv5arY2VAQBn0+YLAGCTK6SQ/dnfdM6+7EvBWzsA2FKOjo/nyODgsiAlSeonT+bI4GCOjo+3qTIA4OmsuAEAtoCBDGQoQymnvGy8O90ZylAGMtCmygCAC9FYWMjk8HCyuLjyzifHJg8dSmNhocWV0UwjjRzLsXw+n8+xHEsjjXaXtOX5ngJbhTZfAABbxEAG0p/+zGQm85lPKaVUUrEjBQC2oNmpqRU7UpZZXEz9+PHMTk2lsmdPy+ri/KYznYlMLGu9Wk45+7PfiS0XyPcU2EqsvAEAtpBCCtmd3bkhN2R3dgtSAGCLmp+bW9d5bKzpTGc0oyuuYVdPPaMZzXSm21TZ1uV7Cmw1Vt8AAAAALVbq6VnXeWycRhqZyETTOffn/k3VnqqxsJCZBx/MF0ZHM/Pgg5uuXdxW/J4CaPMFAAAA0GJ91WrKvb2pnzx57uumdHWl3Nubvmq19cWxzExmVuyeeLrTOZ2ZzGR3dreoqvM7Oj6eyeHhZW3kyr292Tsykv5arY2VPWWrfU8BEjtTAAAAAFquUCxm78jIEze6upbf+eTtvYcPp1Astrgynm4+8+s6byMdHR/PkcHBFdfjqZ88mSODgzk6Pt6mypbbSt9TgDOEKS3QSCPHciyfz+dzLMdsUQQAAADSX6vl4NhYyjt3Lhsv9/bm4NjYptlF0OlKKa3rvI3SWFjI5PDwuXc6PTk2eejQpmj5tVW+pwBn0+Zrg01nOhOZWLZ1sZxy9md/BjLQxsoAAACAduuv1XL9gQOZnZrK/NxcSj096atW7UjZRCqppJxy07ZU3elOJZXWFXUOs1NTK3akLLO4mPrx45mdmkplz56W1XUuW+V7CnA2O1M20HSmM5rRFX8Y6qlnNKOZznSbKgMAAAA2i0KxmMqePfn+oaFU9uwRpGwyhRSyP/ubztmXfSm0+WO2+bm5dZ23kbbK9xTgbH4jbZBGGpnIRNM59+d+Lb8AAAAANrmBDGQoQymnvGy8O90ZytCm6D5S6ulZ13kbbSt8TwHOps3XBpnJTNOtiklyOqczk5nszu4WVQUAAADAhRjIQPrTn5nMZD7zKaWUSiqbZvdEX7Wacm9v6idPnvu6KV1dKff2pq9abX1x57HZv6cAZxOmbJD5zK/rPAAAAADaq5DCpj0ptlAsZu/ISI4MDiZdXcsDla6uJMnew4c3XRu5zfw9BTibmHeDlFJa13kAAAAA0Ex/rZaDY2Mp79y5bLzc25uDY2Ppr9XaVBnA1mdnygappJJyyk1bfXWnO5VUWlcUAAAAANtaf62W6w8cyOzUVObn5lLq6UlftbrpdqQAbDXClA1SSCH7sz+jGT3vnH3ZpwckAAAAAOuqUCymsmdPu8sA2FZ8kr+BBjKQoQylnPKy8e50ZyhDGchAmyoDAAAAAABWy86UDTaQgfSnPzOZyXzmU0oplVTsSAEAAAAAgC1CmNIChRSyO7vbXQYAAAAAAHABbI8AAAAAAABoQpgCAAAAAADQhDAFAAAAAACgCWEKAAAAAABAEy5ADwAAAMCqNNLITGYyn/mUUkollRScqwtABxCmAAAAAPCMpjOdiUyknvrSWDnl7M/+DGSgjZUBwMZz6gAAAAAATU1nOqMZXRakJEk99YxmNNOZblNlANAawhQAAAAAzquRRiYy0XTO/bk/jTRaVBEAtJ4wBQAAAIDzmsnMih0pT3c6pzOTmdYUBABtIEwBAAAA4LzmM7+u8wBgK3IBegCg4zUWFjI7NZX5ubmUenrSV62mUCy2uywAgE2hlNK6zgOArUiYAgB0tKPj45kcHk79xImlsXJvb/aOjKS/VmtjZQAAm0MllZRTbtrqqzvdqaTSuqIAoMW0+QIAOtbR8fEcGRxcFqQkSf3kyRwZHMzR8fE2VQYAsHkUUsj+7G86Z1/2peBjJgC2MX/lAICO1FhYyOTwcLK4uPLOJ8cmDx1KY2GhxZUBAGw+AxnIUIZSTnnZeHe6M5ShDGSgTZUBQGto8wUAdKTZqakVO1KWWVxM/fjxzE5NpbJnT8vqAgDYrAYykP70ZyYzmc98SimlkoodKQB0BGEKANCR5ufm1nUeAEAnKKSQ3dnd7jIAoOWcOgAAdKRST8+6zgMAAAC2L2EKANCR+qrVlHt7k66uc0/o6kp51670VautLQwAAADYdIQpAEBHKhSL2Tsy8sSNpwcqT97ee/hwCsViiysDAAAANhthCgDQsfprtRwcG0t5585l4+Xe3hwcG0t/rdamygAAAIDNxAXoAYCO1l+r5foDBzI7NZX5ubmUenrSV63akQIAAAAsEaYAAB2vUCymsmdPu8sAAAAANiltvgAAAAAAAJoQpgAAAAAAADQhTAEAAAAAAGhCmAIAAAAAANCEMAUAAAAAAKAJYQoAAAAAAEATwhQAAAAAAIAmLihM+cAHPpBKpZLLLrssN998cz796U+fd+6HPvShdHV1Lfu67LLLls1ZXFzM3XffnZ6enjznOc/Jrbfemi9+8YvL5lQqlRXP8973vvdCygcAAAAAAFi1NYcpH/vYx3LXXXflHe94Rz772c/mhhtuyG233ZZHHnnkvI8pl8uZm5tb+vryl7+87P5f/MVfzK/8yq/k3nvvzac+9alcccUVue222/Ktb31r2bx3v/vdy57nJ37iJ9ZaPgAAAAAAwJqsOUx5//vfnzvvvDN33HFHXvziF+fee+/N5Zdfnvvuu++8j+nq6sqOHTuWvq655pql+xYXF3P48OH8zM/8TA4cOJCXvOQl+Y3f+I185StfyW/91m8te55SqbTsea644oq1lg8AAAAAALAmawpTvv3tb+czn/lMbr311qeeoFDIrbfemoceeui8j/vGN76RF77whdm1a1cOHDiQ6enppfu+9KUv5dSpU8ues7u7OzfffPOK53zve9+b5z//+XnpS1+a973vffmbv/mb8x7z8ccfT71eX/YFAADAU6ybAABgddYUpnzta1/LwsLCsp0lSXLNNdfk1KlT53zM9ddfn/vuuy+//du/nQ9/+MNpNBp51atelRMnTiTJ0uOe6Tn/6T/9p/noRz+aP/iDP8g//sf/OO95z3vyUz/1U+et9Z577kl3d/fS165du9byUgEAALY96yYAAFidizb6ALfccktuueWWpduvetWr0t/fn1//9V/Pz/3cz636ee66666lf7/kJS/JJZdckn/8j/9x7rnnnlx66aUr5r/97W9f9ph6vW5hAAAAcBbrJgAAWJ01hSlXXXVVisViHn744WXjDz/8cHbs2LGq57j44ovz0pe+NH/xF3+RJEuPe/jhh9PT07PsOW+88cbzPs/NN9+cv/mbv8nMzEyuv/76Ffdfeuml5wxZAAAAeIJ1EwAArM6a2nxdcskluemmm/LAAw8sjTUajTzwwAPLdp80s7CwkC984QtLwcl1112XHTt2LHvOer2eT33qU02f83Of+1wKhUKuvvrqtbwEAAAAAACANVlzm6+77rorb3rTm/Kyl70sr3jFK3L48OE89thjueOOO5Ikb3zjG7Nz587cc889SZJ3v/vdeeUrX5nv+Z7vyaOPPpr3ve99+fKXv5w3v/nNSZKurq4cOnQoP//zP58XvehFue666/KzP/uzufbaa3P77bcnSR566KF86lOfyv/yv/wvKZVKeeihh/KTP/mT+Yf/8B/muc997jp9KwAAAAAAAFZac5jy+te/Pl/96ldz991359SpU7nxxhszOTm5dAH52dnZFApPbXj567/+69x55505depUnvvc5+amm27KJz/5ybz4xS9emvNTP/VTeeyxx/KWt7wljz76aF796ldncnIyl112WZIntp5/9KMfzTvf+c48/vjjue666/KTP/mTy3r7AgAAAAAAbISuxcXFxXYX0Qr1ej3d3d05ffp0yuVyu8sBAIAN5z0wa+VnBgCATrKW979r3pkCm0UjjcxkJvOZTymlVFJJYW2XAQIAAAAAgGckTGFLms50JjKReupLY+WUsz/7M5CBNlYGAAAAAMB24zR+tpzpTGc0o8uClCSpp57RjGY6022qDAAAAACA7cjOFLaURhqZyETTOffn/vSnX8svAAAAAIBNqrGwkNmpqczPzaXU05O+ajWFYrHdZZ2XMIUtZSYzK3akPN3pnM5MZrI7u1tUFQAAAAAAq3V0fDyTw8OpnzixNFbu7c3ekZH012ptrOz8nLrPljKf+XWdBwAAAABA6xwdH8+RwcFlQUqS1E+ezJHBwRwdH29TZc0JU9hSSimt6zyAMxYWGnnwwZmMjn4hDz44k4WFRrtLAgAAANhWGgsLmRweThYXV9755NjkoUNpLCy0uLJnps0XW0ollZRTbtrqqzvdqaTSuqKALW98/GiGhydz4sRTv1t6e8sZGdmbWq2/jZUBAAAAbB+zU1MrdqQss7iY+vHjmZ2aSmXPnpbVtRp2prClFFLI/uxvOmdf9rn4PLBq4+NHMzh4ZFmQkiQnT9YzOHgk4+NH21QZAAAAwPYyPze3rvNaySfObDkDGchQhlJOedl4d7ozlKEMZKBNlQFbzcJCI8PDk812lubQoUktvwAAAADWQamnZ13ntZI2X2xJAxlIf/ozk5nMZz6llFJJxY4UYE2mpmZX7Eg52+Jicvx4PVNTs9mzp9K6wgAAAAC2ob5qNeXe3tRPnjz3dVO6ulLu7U1ftdr64p6BT57ZsgopZHd254bckN3ZLUgB1mxubn5d5wEAAABwfoViMXtHRp640dW1/M4nb+89fDiFYrHFlT0znz4D0LF6ekrrOg8AAACA5vprtRwcG0t5585l4+Xe3hwcG0t/rdamyprT5guAjlWt9qW3t5yTJ+vn21ma3t5yqtW+1hcHAAAAsE3112q5/sCBzE5NZX5uLqWenvRVq5tyR8oZwhQAOlaxWMjIyN4MDh5JV9fyVp1ndpoePrw3xaKNnAAAAADrqVAsprJnT7vLWDWfDgHQ0Wq1/oyNHczOneVl47295YyNHUyt1t+mygAAAADYLOxMAaDj1Wr9OXDg+kxNzWZubj49PaVUq312pAAAAACQRJgCAEmeaPm1Z0+l3WUAAAAAsAk55RYAAAAAAKAJYQoAAAAAAEATwhQAAAAAAIAmhCkAAAAAAABNCFMAAAAAAACaEKYAAAAAAAA0IUwBAAAAAABoQpgCAAAAAADQhDAFAAAAAACgCWEKAAAAAABAE8IUAAAAAACAJoQpAAAAAAAATQhTAAAAAAAAmhCmAAAAAAAANCFMAQAAAAAAaEKYAgAAAAAA0IQwBQAAAAAAoAlhCgAAAAAAQBPCFAAAAAAAgCaEKQAAAAAAAE0IUwAAAAAAAJoQpgAAAAAAADQhTAEAAAAAAGhCmAIAAAAAANCEMAUAAAAAAKCJi9pdAHBhGmlkJjOZz3xKKaWSSgryUQAAAACAdSdMgS1oOtOZyETqqS+NlVPO/uzPQAbaWBkAAAAAwPbjNHbYYqYzndGMLgtSkqSeekYzmulMt6kyAAAAAIDtSZgCW0gjjUxkoumc+3N/Gmm0qCIAAAAAgO1PmAJbyExmVuxIebrTOZ2ZzLSmIAAAAACADiBMgS1kPvPrOg8AAAAAgGcmTIEtpJTSus4DAAAAAOCZCVNgC6mkknLKTed0pzuVVFpTEAAAAABABxCmwBZSSCH7s7/pnH3Zl4L/awMAAAAArBufuMIWM5CBDGVoxQ6V7nRnKEMZyECbKgMAAAAA2J4uancBwNoNZCD96c9MZjKf+ZRSSiUVO1IAAAAAADaAMAW2qEIK2Z3d7S4DAAAAAGDbcxo7AAAAAABAE8IUAAAAAACAJoQpAAAAAAAATbhmCgAAAAAATTUWFjI7NZX5ubmUenrSV62mUCy2uyxoGWEKAAAAAADndXR8PJPDw6mfOLE0Vu7tzd6RkfTXam2sDFpHmy8AAAAAAM7p6Ph4jgwOLgtSkqR+8mSODA7m6Ph4myqD1hKmAAAAAACwQmNhIZPDw8ni4so7nxybPHQojYWFFlcGrSdMAQAAAABghdmpqRU7UpZZXEz9+PHMTk21rihoE2EKAAAAAAArzM/Nres82MqEKQAAAAAArFDq6VnXebCVCVMAAAAAAFihr1pNubc36eo694SurpR37UpftdrawqANhCkAAAAAAKxQKBazd2TkiRtPD1SevL338OEUisUWVwatJ0wBAAAAAOCc+mu1HBwbS3nnzmXj5d7eHBwbS3+t1qbKoLUuancBAAAAAABsXv21Wq4/cCCzU1OZn5tLqacnfdWqHSl0FGEKAAAAAABNFYrFVPbsaXcZ0DbafAEAAAAAADQhTAEAAAAAAGhCmAIAAAAAANCEMAUAAAAAAKAJYQoAAAAAAEATwhQAAAAAAIAmhCkAAAAAAABNCFMAAAAAAACaEKYAAAAAAAA0IUwBAAAAAABoQpgCAAAAAADQhDAFAAAAAACgCWEKAAAAAABAE8IUAAAAAACAJoQpAAAAAAAATQhTAAAAAAAAmhCmAAAAAAAANCFMAQAAAAAAaEKYAgAAAAAA0IQwBQAAAAAAoAlhCgAAAAAAQBPCFAAAAAAAgCYuancBAACwHTUWFjI7NZX5ubmUenrSV62mUCy2uywAAAAugDAFAADW2dHx8UwOD6d+4sTSWLm3N3tHRtJfq7WxMgAAAC6ENl8AALCOjo6P58jg4LIgJUnqJ0/myOBgjo6Pt6kyAAAALpQwBQAA1kljYSGTw8PJ4uLKO58cmzx0KI2FhRZXBmx2CwuNPPjgTEZHv5AHH5zJwkKj3SUBwJbUSCPHciyfz+dzLMfSiL+prA9tvgAAYJ3MTk2t2JGyzOJi6sePZ3ZqKpU9e1pWF7C5jY8fzfDwZE6cqC+N9faWMzKyN7VafxsrA4CtZTrTmchE6nnqb2o55ezP/gxkoI2VsR3YmQIAAOtkfm5uXecB29/4+NEMDh5ZFqQkycmT9QwOHsn4+NE2VQYAW8t0pjOa0WVBSpLUU89oRjOd6TZVxnYhTAEAgHVS6ulZ13nA9raw0Mjw8GSzzoA5dGhSyy8AeAaNNDKRiaZz7s/9Wn7xrAhTAABgnfRVqyn39iZdXeee0NWV8q5d6atWW1sYsClNTc2u2JFytsXF5PjxeqamZltYFQBsPTOZWbEj5elO53RmMtOagtiWhCkAALBOCsVi9o6MPHHj6YHKk7f3Hj6cQrHY4sqAzWhubn5d5wFAp5rP6v5WrnYenIswBQAA1lF/rZaDY2Mp79y5bLzc25uDY2Ppr9XaVBmw2fT0lNZ1HgB0qlJW97dytfPgXC5qdwEAALDd9Ndquf7AgcxOTWV+bi6lnp70Vat2pADLVKt96e0t5+TJ+jmvm9LVlfT2llOt9rW+OADYQiqppJxy01Zf3elOJZXWFcW2Y2cKAABsgEKxmMqePfn+oaFU9uwRpAArFIuFjIzsTXLezoA5fHhvikVLdwBoppBC9md/0zn7si8FH4fzLPjpAQAAYFtqpJFjOZbP5/M5lmNppNHuklao1fozNnYwO3eWl4339pYzNnYwtVp/myoDgK1lIAMZylDKWf43tTvdGcpQBjLQpsrYLrT5AgAAYNuZznQmMrGs3Uc55ezP/k33YUqt1p8DB67P1NRs5ubm09NTSrXaZ0cKAKzRQAbSn/7MZCbzmU8ppVRSsSOFdSFMAQAAYFuZznRGM7pivJ56RjO6Kc9OLRYL2bOn0u4yAGDLK6SQ3dnd7jLYhkRyAAAAtN16teRqpJGJTDSdc3/u35QtvwAA2LzsTAEAAKCt1rMl10xmlj3PuZzO6cxkxlmrAACsmp0pAAAAtM2ZllxPD0DOtOSazvSanm8+8+s6DwAAEmEKAAAAbbIRLblKKa3rPAAASIQpAAAAtMlaWnKtViWVlFNuOqc73amksurnBAAAYQoAAABtsREtuQopZH/2N52zL/tSsBwGAGANvHsEAACgLTaqJddABjKUoRU7VLrTnaEMrfmi9gAAcFG7CwAAAKAznWnJ1azV14W25BrIQPrTn5nMZD7zKaWUSip2pAAAcEG8iwQAAKAtNrolVyGF7M7u3JAbsju7BSkAAFww7yQBAABoGy25AADYCrT5AgAAoK205AIAYLMTpgAAANB2Z1pyAQDAZuQ0HwAAAAAAgCbsTAFgwzTS0K4DAAAAgC1PmALAhpjOdCYykXrqS2PllLM/+11IFgAAAIAtxenBAKy76UxnNKPLgpQkqaee0YxmOtNtqgwAAAAA1s7OFADWVSONTGSi6Zz7c3/606/lFwAAwBaysNDI1NRs5ubm09NTSrXal2LRug7oDMIUANbVTGZW7Eh5utM5nZnMZHd2t6gqAAAAno3x8aMZHp7MiRNPrfd6e8sZGdmbWq2/jZUBtIboGIB1NZ/5dZ0HAABAe42PH83g4JFlQUqSnDxZz+DgkYyPH21TZQCtI0wBYF2VUlrXeQAAALTPwkIjw8OTWVxced+ZsUOHJrOw0GhtYQAtJkwBYF1VUkk55aZzutOdSiqtKQgAAIALNjU1u2JHytkWF5Pjx+uZmpptYVUArSdMAWBdFVLI/uxvOmdf9rn4PAAAwBYwN7e6Fs2rnQewVfkkC4B1N5CBDGVoxQ6V7nRnKEMZyECbKgMAAGAtenpW16J5tfPgbAsLjTz44ExGR7+QBx+c0S6OTe2idhcAwPY0kIH0pz8zmcl85lNKKZVU7EgBAADYQqrVvvT2lnPyZP2c103p6kp6e8upVvtaXxxb2vj40QwPTy5rI9fbW87IyN7Uav1trAzOzSdaAGyYQgrZnd25ITdkd3YLUgAAALaYYrGQkZG9SZ4ITs525vbhw3tTLFrvsXrj40czOHhkxfV4Tp6sZ3DwSMbHj7apMjg/v+UAAAAAgPOq1fozNnYwO3cub+Xc21vO2NhBuwhYk4WFRoaHJ8+50+nM2KFDk1p+selo8wUAAAAANFWr9efAgeszNTWbubn59PSUUq322ZHCmk1Nza7YkXK2xcXk+PF6pqZms2dPpXWFwTMQpgAAAAAAz6hYLPhwm2dtbm5+XedBqwhTAAAAAABoiZ6e0rrOozUaaWQmM5nPfEoppZJKx10bV5gCAAAAAEBLVKt96e0t5+TJ+jmvm9LV9cT1eKrVvtYXxzlNZzoTmUg9T7VnK6ec/dmfgQy0sbLW6qzoCAAAAACAtikWCxkZ2ZvkieDkbGduHz681/V4NonpTGc0o8uClCSpp57RjGY6022qrPX8RAIAAADQNo00cizH8vl8PsdyLI002l0SsMFqtf6MjR3Mzp3lZeO9veWMjR1Mrdbfpso4WyONTGSi6Zz7c3/H/N7W5gsAAACAttA6BjpXrdafAweuz9TUbObm5tPTU0q12mdHyiYyk5kVO1Ke7nROZyYz2Z3dLaqqfYQpAAAAALTcmdYxT3emdcxQhgQqsM0Vi4Xs2VNpdxmcx3zm13XeVifmA9hAtqsDAACspHUMwOZXSmld5211FxSmfOADH0ilUslll12Wm2++OZ/+9KfPO/dDH/pQurq6ln1ddtlly+YsLi7m7rvvTk9PT57znOfk1ltvzRe/+MVlc77+9a/nR37kR1Iul3PllVfmx3/8x/ONb3zjQsoHaInpTOeX8ku5L/fl4/l47st9+aX8UkddmAsAAOBc1tI6BoD2qKSScspN53SnO5VUWlNQm605TPnYxz6Wu+66K+94xzvy2c9+NjfccENuu+22PPLII+d9TLlcztzc3NLXl7/85WX3/+Iv/mJ+5Vd+Jffee28+9alP5Yorrshtt92Wb33rW0tzfuRHfiTT09P5/d///fyH//Af8olPfCJvectb1lo+QEuc2a7+9MXBme3qAhUAAKCTaR0DsPkVUsj+7G86Z1/2pdAhDbDW/Crf//73584778wdd9yRF7/4xbn33ntz+eWX57777jvvY7q6urJjx46lr2uuuWbpvsXFxRw+fDg/8zM/kwMHDuQlL3lJfuM3fiNf+cpX8lu/9VtJkqNHj2ZycjL/1//1f+Xmm2/Oq1/96vzrf/2v89GPfjRf+cpX1v6qtwntg+hkCwuNPPjgTEZHv5AHH5zJwsLm+fm3XR0AAKA5rWOe4vMdYDMbyECGMrRih0p3ujvu2lZrugD9t7/97XzmM5/J29/+9qWxQqGQW2+9NQ899NB5H/eNb3wjL3zhC9NoNPIDP/ADec973pOBgSe+yV/60pdy6tSp3HrrrUvzu7u7c/PNN+ehhx7KG97whjz00EO58sor87KXvWxpzq233ppCoZBPfepT+ft//++vOObjjz+exx9/fOl2vd586+hWM53pTGRi2Vnv5ZSzP/s76geYzjQ+fjTDw5M5ceKpn//e3nJGRvamVutvY2VPWMt29d3Z3aKqAABW2u7rJmDzOtM6ptnaqRNax/h8B9gKBjKQ/vRnJjOZz3xKKaWSSsfsSDljTa/2a1/7WhYWFpbtLEmSa665JqdOnTrnY66//vrcd999+e3f/u18+MMfTqPRyKte9aqcOHEiSZYe1+w5T506lauvvnrZ/RdddFGe97znnfe499xzT7q7u5e+du3atZaXuqlpH0QnGx8/msHBI8uClCQ5ebKewcEjGR8/2qbKnmK7OgCwVWzndROwuWkd4/MdYGsppJDd2Z0bckN2Z/e2/v18Phv+im+55Za88Y1vzI033pi/83f+TsbHx/OCF7wgv/7rv76hx33729+e06dPL30dP358Q4/XKtoH0ckWFhoZHp7M4uLK+86MHTo02faWX7arAwBbxXZdNwFbQye3jvH5DsDWs6Y2X1dddVWKxWIefvjhZeMPP/xwduzYsarnuPjii/PSl740f/EXf5EkS497+OGH09PTs+w5b7zxxqU5T7/A/d/8zd/k61//+nmPe+mll+bSSy9dVU1bifZBdLKpqdkVO1LOtriYHD9ez9TUbPbsqbSusKexXR0A2Cq267oJ2Do6tXWMz3cAtp41/WW65JJLctNNN+WBBx5YGms0GnnggQdyyy23rOo5FhYW8oUvfGEpOLnuuuuyY8eOZc9Zr9fzqU99auk5b7nlljz66KP5zGc+szTnP//n/5xGo5Gbb755LS9hy9M+iE42N7e6n+vVztsotqsDAACsXie2jvH5DsDWs6adKUly11135U1velNe9rKX5RWveEUOHz6cxx57LHfccUeS5I1vfGN27tyZe+65J0ny7ne/O6985SvzPd/zPXn00Ufzvve9L1/+8pfz5je/OUnS1dWVQ4cO5ed//ufzohe9KNddd11+9md/Ntdee21uv/32JEl/f3/27t2bO++8M/fee2++853v5G1ve1ve8IY35Nprr12nb8XWoH0QnaynZ3U/16udt5HObFd/+oUEu9Odfdm3rberAwAA0JzPdwC2njWHKa9//evz1a9+NXfffXdOnTqVG2+8MZOTk0sXkJ+dnU2h8NQZBH/913+dO++8M6dOncpzn/vc3HTTTfnkJz+ZF7/4xUtzfuqnfiqPPfZY3vKWt+TRRx/Nq1/96kxOTuayyy5bmvObv/mbedvb3pa/9/f+XgqFQn7oh34ov/Irv/JsXvuWpH0Qnaxa7UtvbzknT9bPed2Urq6kt7ecarWv9cWdQ6duVwcAAKA5n+8AbD1di4vn+khy+6nX6+nu7s7p06dTLpef+QGb2HSmM5rR896/3S/SRmcbHz+awcEjSbIsUOnqeuJ/x8YOplbrb0NlALD5bKf3wLSGnxmA1vH5DkD7reX9r9Ojt6Az7YPKWf4ftzvd/tCy7dVq/RkbO5idO5f//Pf2lgUpAAAAbBk+3wHYWuxM2cIaaWgfRMdaWGhkamo2c3Pz6ekppVrtS7Ho5x8AzrYd3wOzsfzMALSez3cA2mct73/XfM0UNo9CCtmd3e0uA9qiWCxkz55Ku8sAAACAZ8XnOwBbg5gbAAAAAACgCWEKAAAAAABAE8IUAAAAAACAJoQpAAAAAAAATQhTAAAAAAAAmhCmAAAAAAAANCFMAQAAAAAAaEKYAgAAAAAA0IQwBQAAAAAAoAlhCgAAAAAAQBPCFAAAAAAAgCaEKQAAAAAAAE0IUwAAAAAAAJoQpgAAAAAAADQhTAEAAAAAAGhCmAIAAAAAANCEMAUAAAAAAKAJYQoAAAAAAEATwhQAAAAAAIAmLmp3AbCZNNLITGYyn/mUUkollRRkjgAAAAAAHU2YAk+aznQmMpF66ktj5ZSzP/szkIE2VgYAAAAAQDs55R7yRJAymtFlQUqS1FPPaEYznek2VQYAAAAAQLvZmULHa6SRiUw0nXN/7k9/+rX8AmBNFhYamZqazdzcfHp6SqlW+1Is+lsCAAAAW40whY43k5kVO1Ke7nROZyYz2Z3dLaoKgK1ufPxohocnc+LEU39jenvLGRnZm1qtv42VAQAAAGvl1Eg63nzm13UeAIyPH83g4JFlQUqSnDxZz+DgkYyPH21TZQAAAMCFEKbQ8Uopres8ADrbwkIjw8OTWVxced+ZsUOHJrOw0GhtYQAAAMAFE6bQ8SqppJxy0znd6U4lldYUBMCWNjU1u2JHytkWF5Pjx+uZmpptYVUAAADAsyFMoeMVUsj+7G86Z1/2ufg8AKsyN7e6tpCrnQcAAAC0n0+HIclABjKUoRU7VLrTnaEMZSADbaoMgK2mp2d1bSFXOw8AAABov4vaXQBsFgMZSH/6M5OZzGc+pZRSScWOFADWpFrtS29vOSdP1s953ZSurqS3t5xqta/1xQEAAAAXxKfEcJZCCtmd3bkhN2R3dgtSAFizYrGQkZG9SZ4ITs525vbhw3tTLPobAwAAAFuFVTwAwDqr1fozNnYwO3cubx/Z21vO2NjB1Gr9baoMAAAAuBDafAEAbIBarT8HDlyfqanZzM3Np6enlGq1z44UAAAA2IKEKQAAG6RYLGTPnkq7ywAAAACeJadGAgAAAAAANCFMAQAAAAAAaEKYAgAAAAAA0IQwBQAAAAAAoAlhCgAAAAAAQBPCFAAAAAAAgCYuancBbH8LC41MTc1mbm4+PT2lVKt9KRbleAAAAAAAbA3CFDbU+PjRDA9P5sSJ+tJYb285IyN7U6v1t7EyAAAAAABYHdsD2DDj40czOHhkWZCSJCdP1jM4eCTj40fbVBkAAAAAAKyeMIUNsbDQyPDwZBYXV953ZuzQocksLDRaWxgAAAAAAKyRMIUNMTU1u2JHytkWF5Pjx+uZmpptYVUAAAAAALB2whQ2xNzc/LrOAwAAAACAdnEBejZET09pXecBAAAAwGo00shMZjKf+ZRSSiWVFJxTDjxLwhQ2RLXal97eck6erJ/zuildXUlvbznVal/riwMAAABgW5rOdCYykXqeaj9fTjn7sz8DGWhjZcBWJ5JlQxSLhYyM7E3yRHBytjO3Dx/em2LRjyAAAAAAz950pjOa0WVBSpLUU89oRjOd6TZVBmwHPslmw9Rq/RkbO5idO8vLxnt7yxkbO5harb9NlQEAAACwnTTSyEQmms65P/enkUaLKgK2G22+2FC1Wn8OHLg+U1OzmZubT09PKdVqnx0pAAAAAKybmcys2JHydKdzOjOZye7sblFVwHYiTGHDFYuF7NlTaXcZAAAAAGxT85lf13kATydMAZY00shMZjKf+ZRSSiWVFHQDBACAJY2FhcxOTWV+bi6lnp70VaspFIvtLgug45VSWtd5AE8nTAGSPHGRtolMLNsSW045+7M/AxloY2UAALA5HB0fz+TwcOonTiyNlXt7s3dkJP21WhsrA6CSSsopN2311Z3uVFJpXVHAtuKUcyDTmc5oRle84ainntGMZjrTbaoMAAA2h6Pj4zkyOLgsSEmS+smTOTI4mKPj422qDIAkKaSQ/dnfdM6+7NOBA7hgfntAh2ukkYlMNJ1zf+5PI40WVQQAAJtLY2Ehk8PDyeLiyjufHJs8dCiNhYUWVwbA2QYykKEMpZzysvHudGcoQzpvAM+KNl/Q4WYy03QLbJKczunMZCa7s7tFVQEAwOYxOzW1YkfKMouLqR8/ntmpqVT27GlZXQCsNJCB9KffNWGBdSdMgQ43n/l1nQcAANvN/Nzcus4DYGMVUnBCKLDuRLLQ4Uopres8AADYbko9Pes6DwCArUeYAh2uksqKXqJP153uVFJpTUEAALDJ9FWrKff2Jl1d557Q1ZXyrl3pq1ZbWxgAAC0jTIEOV0gh+7O/6Zx92ae3KAAAHatQLGbvyMgTN54eqDx5e+/hwykUiy2uDACAVvHpKJCBDGQoQyt2qHSnO0MZykAG2lQZAABsDv21Wg6OjaW8c+ey8XJvbw6OjaW/VmtTZQBsZY00cizH8vl8PsdyLI002l0ScB4uQA8keSJQ6U9/ZjKT+cynlFIqqdiRAgAAT+qv1XL9gQOZnZrK/NxcSj096atW7UgB4IJMZzoTmUg99aWxcsrZn/1ObIVNSJgCLCmkkN3Z3e4yAABg0yoUi6ns2dPuMgDY4qYzndGMrhivp57RjOoUApuQU84BAAAAAFqkkUYmMtF0zv25X8sv2GSEKQAAAAAALTKTmWWtvc7ldE5nJjOtKQhYFWEKAAAAAECLzGd+XecBrSFMAQAAAABokVJK6zoPaA1hCgAAAABAi1RSSTnlpnO6051KKq0pCFgVYQoAAAAAQIsUUsj+7G86Z1/2peCjW9hU/D8SAAAAAKCFBjKQoQyt2KHSne4MZSgDGWhTZcD5XNTuAgAAAAAAOs1ABtKf/sxkJvOZTymlVFKxIwU2KWEKAAAAAEAbFFLI7uxudxnAKog5AQAAAAAAmhCmAAAAAAAANCFMAQAAAAAAaEKYAgAAAAAA0IQL0AMAAACwrTQWFjI7NZX5ubmUenrSV62mUCy2uywAtjBhCgAAAADbxtHx8UwOD6d+4sTSWLm3N3tHRtJfq7WxMgC2Mm2+AAAAANgWjo6P58jg4LIgJUnqJ0/myOBgjo6Pt6kyALY6YQoAsGEaaeRYjuXz+XyO5VgaabS7JAAAtqnGwkImh4eTxcWVdz45NnnoUBoLCy2uDIDtQJsvAGBDTGc6E5lIPfWlsXLK2Z/9GchAGysDAGA7mp2aWrEjZZnFxdSPH8/s1FQqe/a0rC4Atgc7UwCAdTed6YxmdFmQkiT11DOa0Uxnuk2VAQCwXc3Pza3rPAA4mzAFAFhXjTQykYmmc+7P/Vp+AQCwrko9Pes6DwDOJkwBANbVTGZW7Eh5utM5nZnMtKYgAAA6Ql+1mnJvb9LVde4JXV0p79qVvmq1tYUBsC0IUwCAdTWf+XWdBwAAq1EoFrN3ZOSJG08PVJ68vffw4RSKxRZXBsB2IEwBgC2mkUaO5Vg+n8/nWI5tunZZpZTWdR5bV2NhITMPPpgvjI5m5sEH01hYaHdJAMA211+r5eDYWMo7dy4bL/f25uDYWPprtTZVBsBWd1G7CwAAVm8605nIxLI2WuWUsz/7M5CBNlb2lEoqKafctNVXd7pTSaV1RdFyR8fHMzk8nPqJE0tj5d7e7B0Z8SEGALCh+mu1XH/gQGanpjI/N5dST0/6qlU7UgB4VuxMAYAtYjrTGc3oipCinnpGM5rpTLepsuUKKWR/9jedsy/7UvA2ZNs6Oj6eI4ODy4KUJKmfPJkjg4M5Oj7epsoAgE5RKBZT2bMn3z80lMqePYIUAJ41n2IAwBbQSCMTmWg65/7cv2lafg1kIEMZSjnlZePd6c5QhjbNLhrWX2NhIZPDw8ni4so7nxybPHRIyy8AAAC2FG2+AGALmMlM07ZZSXI6pzOTmezO7hZV1dxABtKf/sxkJvOZTymlVFKxI2Wbm52aWrEjZZnFxdSPH8/s1FQqe/a0rC4AAAB4NoQpALAFzGd+Xee1SiGFTRPu0Brzc3PrOg8AAAA2A2EKAGwBpZTWdR5slFJPz7rOAwAuzMJCI1NTs5mbm09PTynVal+KRTuEAeBCCVMAYAuopJJyyk1bfXWnO5VUWlcUnENftZpyb2/qJ0+e+7opXV0p9/amr1ptfXEA0CHGx49meHgyJ0489d6xt7eckZG9qdX621gZAGxdTkkAgC2gkEL2Z3/TOfuyz/VIaLtCsZi9IyNP3OjqWn7nk7f3Hj6cQrHY4soAoDOMjx/N4OCRZUFKkpw8Wc/g4JGMjx9tU2UAsLX5xAUAtoiBDGQoQymnvGy8O90ZylAGMtCmymC5/lotB8fGUt65c9l4ubc3B8fG0l+rtakyANjeFhYaGR6ePOfm0DNjhw5NZmGh0drCAGAb0OYLALaQgQykP/2ZyUzmM59SSqmkYkcKm05/rZbrDxzI7NRU5ufmUurpSV+1akcKAGygqanZFTtSzra4mBw/Xs/U1Gz27Km0rjAA2AaEKQCwxRRSyO7sbncZ8IwKxWIqe/a0uwwA6Bhzc/PrOg8AeIowBQA2UCMNu0gAAGiJnp7Sus4DAJ4iTAGADTKd6UxkIvU81WqhnHL2Z7/rmwAAsO6q1b709pZz8mT9nNdN6epKenvLqVb7Wl8cAGxxTo0FgA0wnemMZnRZkJIk9dQzmtFMZ7pNlQEAsF0Vi4WMjOxN8kRwcrYztw8f3pti0cdBALBW/noCPKmRRo7lWD6fz+dYjqWRRrtLYotqpJGJTDSdc3/u9zMGF8DvagBorlbrz9jYwezcWV423ttbztjYwdRq/W2qDAC2Nm2+AKIdE+trJjMrdqQ83emczkxmXEge1sDvagBYnVqtPwcOXJ+pqdnMzc2np6eUarXPjhQAeBaEKUDHO9OO6enOtGMaypAP6ViT+cyv6zzA72oAWKtisZA9eyrtLgMAtg2nJAAdTTsmNkIppXWdB53O72oAAADaTZgCdLS1tGOC1aqkknLKTed0pzuVVFpTEGxxflcDAADQbsIUoKNpx8RGKKSQ/dnfdM6+7EvBn2FYFb+rAQAAaDef4gAdTTsmNspABjKUoRU7VLrT7doOsEZ+VwMAANBuLkAPdLQz7ZiatY/RjokLNZCB9Kc/M5nJfOZTSimVVOxIgTXyuxoAAIB282kO0NG0Y2KjFVLI7uzODbkhu7PbzxJcAL+rAQAAaDcrTqDjaccEsPn5XQ0AALRTI40cy7F8Pp/PsRxLI412l0SLafMFEO2YALYCv6sBAIB2mM50JjKxrPVwOeXsz34ndnUQYQrAk860YwJg8/K7GgAAaKXpTGc0oyvG66lnNKN2yncQp/EBAAAAAMDTNNLIRCaazrk/92v51SGEKQAAAAAA8DQzmVnW2utcTud0ZjLTmoJoK2EKAAAAAAA8zXzm13UeW5trpgBsQY2FhcxOTWV+bi6lnp70VaspFIvtLgsAAABg2yiltK7z2NqEKQBbzNHx8UwOD6d+4sTSWLm3N3tHRtJfq7WxMgAAAIDto5JKyik3bfXVne5UUmldUbSNNl8AW8jR8fEcGRxcFqQkSf3kyRwZHMzR8fE2VQYAAACwvRRSyP7sbzpnX/al4GP2juC/MrChGgsLmXnwwXxhdDQzDz6YxsJCu0vashoLC5kcHk4WF1fe+eTY5KFDvscAAAAA62QgAxnKUMopLxvvTneGMpSBDLSpMlpNmy9gw2hHtb5mp6ZW7EhZZnEx9ePHMzs1lcqePS2rCwAAAGA7G8hA+tOfmcxkPvMppZRKKnakdBj/tYENoR3V+pufm1vXeQAAAACsTiGF7M7u3JAbsju7BSkdyH9xYN1pR7UxSj096zoPAAAAAFgdYQqw7tbSjorV66tWU+7tTbq6zj2hqyvlXbvSV622tjAAAAAA2OaEKcC6045qYxSKxewdGXnixtMDlSdv7z18OIViscWVAQAAAMD2JkwB1p12VBunv1bLwbGxlHfuXDZe7u3NwbGx9NdqbaoMAAAAALavi9pdALD9nGlHVT958tzXTenqSrm3VzuqC9Rfq+X6AwcyOzWV+bm5lHp60let2pECXLBGGpnJTOYzn1JKqaTiYooAtFRjYcH7WwBgUxOmAOvuTDuqI4ODT7SfOjtQ0Y5qXRSKxVT27Gl3GcA2MJ3pTGQi9dSXxsopZ3/2ZyADbawMgE5xdHw8k8PDy667WO7tzd6RETuvAYBNwymHwIbQjgpg85vOdEYzuixISZJ66hnNaKYz3abKAOgUR8fHc2RwcFmQkiT1kydzZHAwR8fH21QZAMBydqYAG0Y7KoDNq5FGJjLRdM79uT/96dfyC4AN0VhYyOTw8LlbAy8uJl1dmTx0KNcfOGANAQC0nTAF2FDaUQFsTjOZWbEj5elO53RmMpPd2d2iqgDoJLNTUyt2pCyzuJj68eOZnZqypgAA2s5phgAAHWg+8+s6DwDWan5ubl3nAQBsJGEKAEAHKqW0rvMAYK1KPT3rOg8AYCMJUwAAOlAllZRTbjqnO92ppNKaggDoOH3Vasq9vUlX17kndHWlvGtX+qrV1hYGAHAOwhQAgA5USCH7s7/pnH3Z5+LzAGyYQrGYvSMjT9x4eqDy5O29hw+7+DwAsClYHQMAdKiBDGQoQyt2qHSnO0MZykAG2lQZAJ2iv1bLwbGxlHfuXDZe7u3NwbGx9NdqbaoMAGC5i9pdAAAA7TOQgfSnPzOZyXzmU0oplVTsSAGgZfprtVx/4EBmp6YyPzeXUk9P+qpVO1IAgE1FmAIA0OEKKWR3dre7DAA6WKFYTGXPnnaXAQBwXhd0yuEHPvCBVCqVXHbZZbn55pvz6U9/elWP++hHP5qurq7cfvvty8Yffvjh/NiP/ViuvfbaXH755dm7d2+++MUvLpuzZ8+edHV1Lfv6J//kn1xI+QAAAAAAAKu25jDlYx/7WO6666684x3vyGc/+9nccMMNue222/LII480fdzMzEz++T//56lWq8vGFxcXc/vtt+fYsWP57d/+7fzJn/xJXvjCF+bWW2/NY489tmzunXfembm5uaWvX/zFX1xr+QAAAAAAAGuy5jDl/e9/f+68887ccccdefGLX5x77703l19+ee67777zPmZhYSE/8iM/kne9613ZvXt5C4kvfvGL+aM/+qN88IMfzMtf/vJcf/31+eAHP5j/+T//Z0ZHR5fNvfzyy7Njx46lr3J5+cVSAQAAAAAA1tuawpRvf/vb+cxnPpNbb731qScoFHLrrbfmoYceOu/j3v3ud+fqq6/Oj//4j6+47/HHH0+SXHbZZcue89JLL80f/uEfLpv7m7/5m7nqqqvyfd/3fXn729+eb37zm2spHwAAAAAAYM3WdAH6r33ta1lYWMg111yzbPyaa67J//gf/+Ocj/nDP/zD/Lt/9+/yuc997pz3f+/3fm/6+vry9re/Pb/+67+eK664Ir/8y7+cEydOZG5ubmneD//wD+eFL3xhrr322vzpn/5p/o//4//In/3Zn2V8fPycz/v4448vBTVJUq/X1/JSAQAAtj3rJgAAWJ01hSlrNT8/nx/90R/Nv/23/zZXXXXVOedcfPHFGR8fz4//+I/nec97XorFYm699da89rWvzeLi4tK8t7zlLUv//v7v//709PTk7/29v5e//Mu/zHd/93eveN577rkn73rXu9b/RQEAAGwT1k0AALA6a2rzddVVV6VYLObhhx9eNv7www9nx44dK+b/5V/+ZWZmZvK6170uF110US666KL8xm/8Rn7nd34nF110Uf7yL/8ySXLTTTflc5/7XB599NHMzc1lcnIyf/VXf7Xi+ipnu/nmm5Mkf/EXf3HO+9/+9rfn9OnTS1/Hjx9fy0sFAADY9qybAABgdda0M+WSSy7JTTfdlAceeCC33357kqTRaOSBBx7I2972thXzv/d7vzdf+MIXlo39zM/8TObn5zMyMpJdu3Ytu6+7uzvJExel/+M//uP83M/93HlrOdM2rKen55z3X3rppbn00ktX+9IAAAA6jnUTAACszprbfN11111505velJe97GV5xStekcOHD+exxx7LHXfckSR54xvfmJ07d+aee+7JZZddlu/7vu9b9vgrr7wySZaNf/zjH88LXvCC9PX15Qtf+EKGh4dz++235zWveU2SJ3a4fOQjH8m+ffvy/Oc/P3/6p3+an/zJn8wP/uAP5iUvecmFvnYAAAAAAIBntOYw5fWvf32++tWv5u67786pU6dy4403ZnJycumi9LOzsykU1tQ9LHNzc7nrrrvy8MMPp6enJ2984xvzsz/7s0v3X3LJJflP/+k/LQU3u3btyg/90A/lZ37mZ9ZaPgAAAAAAwJp0LZ59lfdtrF6vp7u7O6dPn065XG53OQAAsOG8B2at/MwAANBJ1vL+d21bSAAAAAAAADqMMAUAAAAAAKAJYQoAAAAAAEATwhQAAAAAAIAmhCkAAAAAAABNCFMAAAAAAACaEKYAAAAAAAA0IUwBAAAAAABoQpgCAAAAAADQhDAFAAAAAACgCWEKAAAAAABAE8IUAAAAAACAJoQpAAAAAAAATQhTAAAAAAAAmhCmAAAAAAAANCFMAQAAAAAAaOKidhcAAGvVWFjI7NRU5ufmUurpSV+1mkKx2O6yAAAAANimhCkAbClHx8czOTyc+okTS2Pl3t7sHRlJf63WxsoAAAAA2K60+QJgyzg6Pp4jg4PLgpQkqZ88mSODgzk6Pt6mygAAAADYzoQpAGwJjYWFTA4PJ4uLK+98cmzy0KE0FhZaXBkAAAAA250wBYAtYXZqasWOlGUWF1M/fjyzU1OtKwoAAACAjiBMAWBLmJ+bW9d5AAAAALBawhQAtoRST8+6zgMAAACA1RKmALAl9FWrKff2Jl1d557Q1ZXyrl3pq1ZbWxgAAAAA254wBYAtoVAsZu/IyBM3nh6oPHl77+HDKRSLLa4MAAAAgO1OmAJAkqSRRo7lWD6fz+dYjqWRRrtLWqG/VsvBsbGUd+5cNl7u7c3BsbH012ptqgwAAACA7eyidhcAQPtNZzoTmUg99aWxcsrZn/0ZyEAbK1upv1bL9QcOZHZqKvNzcyn19KSvWrUjBQAAAIANI0wB6HDTmc5oRleM11PPaEYzlKFNF6gUisVU9uxpdxkAAAAAdAhtvgA6WCONTGSi6Zz7c/+mbPkFAAAAAK0iTAHoYDOZWdba61xO53RmMtOaggDaYCtcMwoAAID20uYLoIPNZ35d5wFsNVvpmlEAAAC0j50pAB2slNK6zgPYSs5cM+rpO/TOXDNqOtNtqgwAAIDNRpgC0MEqqaScctM53elOJZXWFASroCUT68E1owAAAFgLbb4AOlghhezP/oxm9Lxz9mVfCrJ3NgktmVgva7lm1O7sblFVAAAAbFY+HQPocAMZyFCGVuxQ6U53hjLkA2o2DS2ZWE+uGQUAAMBa2JkCQAYykP70ZyYzmc98SimlkoodKWwaq23J1J9+P7esimtGAXChGml43wwAHUiYAkCSJ1p+aWXDZqUlE+vtzDWjmv1cuWYUAE+n5SgAdC6nTgAAm56WTKy3M9eMasY1owA4m5ajANDZrA4BgE1PSyY2gmtGAbBaq2052kijRRUBAK2mzRcAsOlpycRGcc0oAFZDy1EAwCoRANj0tGRiI525ZtQNuSG7s9vPEQAraDkKAFgpAgBbgpZMAEC7aDkKAGjzBQBsGVoyAQDtoOUoAOCTBwBgS9GSCQBoNS1HAQB/5QEAAACegZajANDZtPkCAAAAWAUtRwGgcwlTAAAAAFbpTMtRAKCzOHUCAAAAAACgCWEKAAAAAABAE8IUAAAAAACAJoQpAAAAAAAATQhTAAAAAAAAmhCmAAAAAAAANHFRuwtgc2ksLGR2airzc3Mp9fSkr1pNoVhsd1kAAAAAANA2whSWHB0fz+TwcOonTiyNlXt7s3dkJP21WhsrAwAAAACA9tHmiyRPBClHBgeXBSlJUj95MkcGB3N0fLxNlQEAAAAAQHsJU0hjYSGTw8PJ4uLKO58cmzx0KI2FhRZXBgAAAAAA7SdMIbNTUyt2pCyzuJj68eOZnZpqXVEAAAAAALBJCFPI/Nzcus4DAAAAAIDtRJhCSj096zoPAAAAAAC2E2EK6atWU+7tTbq6zj2hqyvlXbvSV622tjAAAAAAANgEhCmkUCxm78jIEzeeHqg8eXvv4cMpFIstrgwAAAAAANpPmEKSpL9Wy8GxsZR37lw2Xu7tzcGxsfTXam2qDAAAAAAA2uuidhfA5tFfq+X6AwcyOzWV+bm5lHp60let2pECAAAAAEBHE6awTKFYTGXPnnaXAQAAAAAAm4Y2XwAAAAAAAE0IUwAAAAAAAJoQpgAAAAAAADQhTAEAAAAAAGhCmAIAAAAAANCEMAUAAID/v717j62yvv8A/qZcvbRVBLnIpaIbsKosQUWy4C4SQYmTgfk5tkxU5rINjUrcxSXKXJaxuD+m29wl27JlyUCHQZ3DuS1MmSaoEUdUoqjMBv1xcZrQVpyX0Of3h7P7VfCBMuzhaV+v5CTtc76n59N8+k3Op+/nOQcAACghTAEAAAAAACghTAEAAAAAACghTAEAAAAAACghTAEAAAAAACghTAEAAAAAACghTAEAAAAAACghTAEAAAAAACghTAEAAAAAACghTAEAAAAAACghTAEAAAAAACghTAEAAAAAACghTAEAAAAAACghTAEAAAAAACgxoNYFAAAAAABwcHSkIy1pSXvaU5/6NKUpdc6ph/+aMAUAAAAAoBfYmI1ZndVpS1vnsYY0ZE7mpDnNNawMqk8kCQAAAABQcRuzMSuyokuQkiRtacuKrMjGbKxRZdA7CFMAAAAAACqsIx1ZndWla+7JPelIRw9VBL2PMAUAAAAAoMJa0rLHFSnv1prWtKSlZwqCXkiYAgAAAABQYe1pP6jrgD0JUwAAAAAAKqw+9Qd1HbAnYQoAAAAAQIU1pSkNaShd05jGNKWpZwqCXkiYAgAAAABQYXWpy5zMKV1zbs5NnX8HwwGzewAAAAAAKq45zVmQBXtcodKYxizIgjSnuUaVQe8woNYFAAAAAADw32tOcyZnclrSkva0pz71aUqTK1LgIBCmAAAAAAD0EnWpy4RMqHUZ0OuIJAEAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoIUwAAAAAAAEoMqHUBAAAAwMHXkY60pCXtaU996tOUptQ5pxIA4IAIUwAAAKCX2ZiNWZ3VaUtb57GGNGRO5qQ5zTWsDACgmpySAgAAAL3IxmzMiqzoEqQkSVvasiIrsjEba1QZAEB1CVMAAACgl+hIR1Zndemae3JPOtLRQxUBAPQOwhQAAADoJVrSsscVKe/Wmta0pKVnCgIA6CWEKQAAANBLtKf9oK4DAOBtwhQAAADoJepTf1DXAQDwNmEKAAAA9BJNaUpDGkrXNKYxTWnqmYIAAHoJYQoAAAD0EnWpy5zMKV1zbs5NnX8HAAB0i1dPAAAA0Is0pzkLsmCPK1Qa05gFWZDmNNeoMgCA6hpQ6wIAAACAg6s5zZmcyWlJS9rTnvrUpylNrkgBADhAwhQAAADohepSlwmZUOsyAAB6BaekAAAAAAAAlBCmAAAAAAAAlBCmAAAAAAAAlBCmAAAAAAAAlBCmAAAAAAAAlBCmAAAAAAAAlBCmAAAAAAAAlDigMOWWW25JU1NThgwZkmnTpuWRRx7Zr8fdeuut6devX+bOndvl+I4dO3LxxRdn9OjROfzwwzN79uw8++yzXda8/vrrWbx4cY455pgceeSRmT9/fnbs2HEg5QMAAAAAAOy3bocpt912W5YsWZKlS5fmsccey5QpUzJr1qy89NJLpY9raWnJNddckxkzZnQ5XhRF5s6dm3/84x+566678ve//z3jx4/PzJkzs2vXrs51V199de6+++6sXLkya9euzdatWzNv3rzulg8AAAAAANAt/YqiKLrzgGnTpuW0007Lj370oyRJR0dHxo4dmyuuuCJf//rX9/qY3bt358wzz8yll16aBx54IDt37sydd96ZJHnmmWcyceLEPPnkk2lubu78mSNHjsx3vvOdfP7zn09ra2uGDx+e5cuX54ILLkiSPP3005k8eXLWrVuXM844Y591t7W1pbGxMa2trWloaOjOrwwAAJXkNTDd5W8GAIC+pDuvf7t1Zcqbb76Z9evXZ+bMmf/5AXV1mTlzZtatW/eej/vWt76VY489NosWLdrjvjfeeCNJMmTIkC4/c/DgwXnwwQeTJOvXr89bb73V5XknTZqUcePGlT4vAAAAAADAf2tAdxa//PLL2b17d0aMGNHl+IgRI/L000/v9TEPPvhgfvnLX2bDhg17vf+dUOTaa6/Nz372sxxxxBH5/ve/nxdffDHbtm1Lkmzfvj2DBg3KUUcdtcfzbt++fa8/94033ugMapK3EyYAAAD+w9wEAAD754A+gH5/tbe353Of+1x+/vOfZ9iwYXtdM3DgwKxatSrPPPNMhg4dmsMPPzz33XdfzjnnnNTVHXh5y5YtS2NjY+dt7NixB/yzAAAAeiNzEwAA7J9upRXDhg1L//79s2PHji7Hd+zYkZEjR+6xfvPmzWlpacl5552XAQMGZMCAAfnNb36T3//+9xkwYEA2b96cJJk6dWo2bNiQnTt3Ztu2bbn33nvzyiuvZMKECUmSkSNH5s0338zOnTv363mT5Nprr01ra2vn7YUXXujOrwoAANDrmZsAAGD/dCtMGTRoUKZOnZo1a9Z0Huvo6MiaNWsyffr0PdZPmjQpTzzxRDZs2NB5++QnP5mPf/zj2bBhwx5nPTU2Nmb48OF59tln8+ijj+b8889P8nbYMnDgwC7Pu2nTpmzZsmWvz5skgwcPTkNDQ5cbAAAA/2FuAgCA/dOtz0xJkiVLlmThwoU59dRTc/rpp+emm27Krl27cskllyRJLrroohx33HFZtmxZhgwZkpNOOqnL49/53JP/f3zlypUZPnx4xo0blyeeeCJXXnll5s6dm7PPPjvJ2yHLokWLsmTJkgwdOjQNDQ254oorMn369JxxxhkH+rsDAAAAAADsU7fDlAsvvDD//Oc/c/3112f79u358Ic/nHvvvbfzQ+m3bNnS7c862bZtW5YsWZIdO3Zk1KhRueiii3Ldddd1WfP9738/dXV1mT9/ft54443MmjUrP/7xj7tbPgAAAAAAQLf0K4qiqHURPaGtrS2NjY1pbW116ToAAH2C18B0l78ZAAD6ku68/u3eJSQAAAAAAAB9jDAFAAAAAACghDAFAAAAAACghDAFAAAAAACghDAFAAAAAACghDAFAAAAAACghDAFAAAAAACghDAFAAAAAACghDAFAAAAAACghDAFAAAAAACgxIBaFwAAAAAAAH1Nx+7d2fLAA2nfti31o0Zl3IwZqevfv9Zl8R6EKQAAAAAA0IOeWrUq9155ZdpefLHzWMOYMZl9882ZPG9eDSvjvXibLwAAAAAA6CFPrVqV311wQZcgJUna/vd/87sLLshTq1bVqDLKCFMAAAAAAKAHdOzenXuvvDIpij3v/Pexe6+6Kh27d/dwZeyLMAUAAAAAAHrAlgce2OOKlC6KIm0vvJAtDzzQc0WxX4QpAAAAAADQA9q3bTuo6+g5whQAAAAAAOgB9aNGHdR19BxhCgAAAAAA9IBxM2akYcyYpF+/vS/o1y8NY8dm3IwZPVsY+yRMAQAAAACAHlDXv39m33zz29+8O1D59/ezb7opdf3793Bl7IswBQAAAAAAesjkefPyP7ffnobjjutyvGHMmPzP7bdn8rx5NaqMMgNqXQAAAAAAAPQlk+fNy8Tzz8+WBx5I+7ZtqR81KuNmzHBFyiFMmAIAAAAAAD2srn//NH3sY7Uug/0kTAEAAAB6nY50pCUtaU976lOfpjSlzrudAwAHSJgCAAAA9CobszGrszptaes81pCGzMmcNKe5hpUBAFXllAwAAACg19iYjVmRFV2ClCRpS1tWZEU2ZmONKgMAqkyYAgAAAPQKHenI6qwuXXNP7klHOnqoIgCgtxCmAAAAAL1CS1r2uCLl3VrTmpa09ExBAECvIUwBAAAAeoX2tB/UdQAA7xCmAAAAAL1CfeoP6joAgHcIUwAAAIBeoSlNaUhD6ZrGNKYpTT1TEADQawhTAAAAgF6hLnWZkzmla87Nuanz7xAAoJu8egAAAAB6jeY0Z0EW7HGFSmMasyAL0pzmGlUGAFTZgFoXAAAAAHAwNac5kzM5LWlJe9pTn/o0pckVKQDAAROmAAAAAL1OXeoyIRNqXQYA0Es4JQMAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKCEMAUAAAAAAKDEgFoX0FOKokiStLW11bgSAADoGe+89n3ntTDsi7kJAIC+pDszU58JU9rb25MkY8eOrXElAADQs9rb29PY2FjrMqgAcxMAAH3R/sxM/Yo+cppaR0dHtm7dmvr6+vTr16/Hn7+trS1jx47NCy+8kIaGhh5/fvafXlWHXlWDPlWHXlWHXlVHrXtVFEXa29szevTo1NV5h1/2zdzE/tCn6tCr6tCr6tCratCn6qh1r7ozM/WZK1Pq6uoyZsyYWpeRhoYGG7gi9Ko69Koa9Kk69Ko69Ko6atkrV6TQHeYmukOfqkOvqkOvqkOvqkGfqqMKM5PT0wAAAAAAAEoIUwAAAAAAAEoIU3rI4MGDs3Tp0gwePLjWpbAPelUdelUN+lQdelUdelUdegXdY89Ugz5Vh15Vh15Vh15Vgz5VR5V61Wc+gB4AAAAAAOBAuDIFAAAAAACghDAFAAAAAACghDAFAAAAAACghDAFAAAAAACghDClh9xyyy1pamrKkCFDMm3atDzyyCO1Lol3+eY3v5l+/fp1uU2aNKnWZfV5f/vb33Leeedl9OjR6devX+68884u9xdFkeuvvz6jRo3KYYcdlpkzZ+bZZ5+tTbF93L56dfHFF++xx2bPnl2bYvuwZcuW5bTTTkt9fX2OPfbYzJ07N5s2beqy5vXXX8/ixYtzzDHH5Mgjj8z8+fOzY8eOGlXcd+1Prz72sY/tsa+++MUv1qjivusnP/lJTjnllDQ0NKShoSHTp0/PH//4x8777SnYP2amQ5+Z6dBlbqoOc1M1mJuqw9xUHb1hbhKm9IDbbrstS5YsydKlS/PYY49lypQpmTVrVl566aVal8a7NDc3Z9u2bZ23Bx98sNYl9Xm7du3KlClTcsstt+z1/htvvDE/+MEP8tOf/jQPP/xwjjjiiMyaNSuvv/56D1fKvnqVJLNnz+6yx1asWNGDFZIka9euzeLFi/PQQw/lL3/5S956662cffbZ2bVrV+eaq6++OnfffXdWrlyZtWvXZuvWrZk3b14Nq+6b9qdXSXLZZZd12Vc33nhjjSruu8aMGZPvfve7Wb9+fR599NF84hOfyPnnn5+NGzcmsadgf5iZqsPMdGgyN1WHuakazE3VYW6qjl4xNxW8704//fRi8eLFnd/v3r27GD16dLFs2bIaVsW7LV26tJgyZUqty6BEkuKOO+7o/L6jo6MYOXJk8b3vfa/z2M6dO4vBgwcXK1asqEGFvOPdvSqKoli4cGFx/vnn16Qe3ttLL71UJCnWrl1bFMXbe2jgwIHFypUrO9c89dRTRZJi3bp1tSqTYs9eFUVRfPSjHy2uvPLK2hXFezr66KOLX/ziF/YU7CczUzWYmarB3FQd5qbqMDdVh7mpWqo2N7ky5X325ptvZv369Zk5c2bnsbq6usycOTPr1q2rYWXszbPPPpvRo0dnwoQJ+exnP5stW7bUuiRKPP/889m+fXuX/dXY2Jhp06bZX4eo+++/P8cee2wmTpyYL33pS3nllVdqXVKf19ramiQZOnRokmT9+vV56623uuyrSZMmZdy4cfZVjb27V+/47W9/m2HDhuWkk07Ktddem9dee60W5fFvu3fvzq233ppdu3Zl+vTp9hTsBzNTtZiZqsfcVD3mpkOPuak6zE3VUNW5aUCtC+jtXn755ezevTsjRozocnzEiBF5+umna1QVezNt2rT8+te/zsSJE7Nt27bccMMNmTFjRp588snU19fXujz2Yvv27Umy1/31zn0cOmbPnp158+bl+OOPz+bNm/ONb3wj55xzTtatW5f+/fvXurw+qaOjI1dddVU+8pGP5KSTTkry9r4aNGhQjjrqqC5r7ava2luvkuQzn/lMxo8fn9GjR+fxxx/P1772tWzatCmrVq2qYbV90xNPPJHp06fn9ddfz5FHHpk77rgjH/rQh7JhwwZ7CvbBzFQdZqZqMjdVi7np0GNuqg5z06Gv6nOTMAX+7Zxzzun8+pRTTsm0adMyfvz4/O53v8uiRYtqWBn0Dp/+9Kc7vz755JNzyimn5IQTTsj999+fs846q4aV9V2LFy/Ok08+6b3OK+C9evWFL3yh8+uTTz45o0aNyllnnZXNmzfnhBNO6Oky+7SJEydmw4YNaW1tze23356FCxdm7dq1tS4L4KAyM8H7z9x06DE3VYe56dBX9bnJ23y9z4YNG5b+/ftnx44dXY7v2LEjI0eOrFFV7I+jjjoqH/zgB/Pcc8/VuhTewzt7yP6qpgkTJmTYsGH2WI1cfvnl+cMf/pD77rsvY8aM6Tw+cuTIvPnmm9m5c2eX9fZV7bxXr/Zm2rRpSWJf1cCgQYNy4oknZurUqVm2bFmmTJmSm2++2Z6C/WBmqi4zUzWYm6rN3FRb5qbqMDdVQ9XnJmHK+2zQoEGZOnVq1qxZ03mso6Mja9asyfTp02tYGfvy6quvZvPmzRk1alStS+E9HH/88Rk5cmSX/dXW1paHH37Y/qqAF198Ma+88oo91sOKosjll1+eO+64I3/9619z/PHHd7l/6tSpGThwYJd9tWnTpmzZssW+6mH76tXebNiwIUnsq0NAR0dH3njjDXsK9oOZqbrMTNVgbqo2c1NtmJuqw9xUbVWbm7zNVw9YsmRJFi5cmFNPPTWnn356brrppuzatSuXXHJJrUvj/7nmmmty3nnnZfz48dm6dWuWLl2a/v37Z8GCBbUurU979dVXu5wp8Pzzz2fDhg0ZOnRoxo0bl6uuuirf/va384EPfCDHH398rrvuuowePTpz586tXdF9VFmvhg4dmhtuuCHz58/PyJEjs3nz5nz1q1/NiSeemFmzZtWw6r5n8eLFWb58ee66667U19d3vvdoY2NjDjvssDQ2NmbRokVZsmRJhg4dmoaGhlxxxRWZPn16zjjjjBpX37fsq1ebN2/O8uXLc+655+aYY47J448/nquvvjpnnnlmTjnllBpX37dce+21OeecczJu3Li0t7dn+fLluf/++/OnP/3JnoL9ZGaqBjPTocvcVB3mpmowN1WHuak6esXcVNAjfvjDHxbjxo0rBg0aVJx++unFQw89VOuSeJcLL7ywGDVqVDFo0KDiuOOOKy688MLiueeeq3VZfd59991XJNnjtnDhwqIoiqKjo6O47rrrihEjRhSDBw8uzjrrrGLTpk21LbqPKuvVa6+9Vpx99tnF8OHDi4EDBxbjx48vLrvssmL79u21LrvP2VuPkhS/+tWvOtf861//Kr785S8XRx99dHH44YcXn/rUp4pt27bVrug+al+92rJlS3HmmWcWQ4cOLQYPHlyceOKJxVe+8pWitbW1toX3QZdeemkxfvz4YtCgQcXw4cOLs846q/jzn//ceb89BfvHzHToMzMdusxN1WFuqgZzU3WYm6qjN8xN/YqiKN6fmAYAAAAAAKD6fGYKAAAAAABACWEKAAAAAABACWEKAAAAAABACWEKAAAAAABACWEKAAAAAABACWEKAAAAAABACWEKAAAAAABACWEKAAAAAABACWEKAAAAAABACWEKAAAAAABACWEKAAAAAABACWEKAAAAAABAif8DwfTsnp4eUeYAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 2000x1000 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "WARMUP = 0.1 # 10%\n",
    "warmup_idx = int(len(states) * WARMUP)\n",
    "\n",
    "xstates = states[:-1][warmup_idx:]\n",
    "target = timeseries[1:][warmup_idx:]\n",
    "fig, ax = state_plotter(xstates, target)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for ii in range(xstates.shape[-1] // 2):\n",
    "\n",
    "    fig = plt.figure()\n",
    "    ax = fig.add_subplot()\n",
    "\n",
    "    cmap = plt.get_cmap('jet', len(np.unique(timeseries)))\n",
    "    for i, x, y in zip(target, xstates[:, 2 * ii], xstates[:, 2 * ii + 1]):\n",
    "        ax.scatter(x, y,  color=cmap(i))\n",
    "    \n",
    "    ax.set_xlabel(f'state {2 * ii + 1}')\n",
    "    ax.set_ylabel(f'state {2*(ii+1)}')\n",
    "\n",
    "# plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'state 2')"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "\n",
    "\n",
    "cmap = plt.get_cmap('jet', len(np.unique(timeseries)))\n",
    "\n",
    "plt.scatter(xstates[:, 0], xstates[:, 1], cmap=cmap, c=target)\n",
    "# for i, x, y in zip(target, xstates[:, 2 * ii], xstates[:, 2 * ii + 1]):\n",
    "#     ax.scatter(x, y,  color=cmap(i))\n",
    "\n",
    "# ax.set_xlabel(f'state {2 * ii + 1}')\n",
    "# ax.set_ylabel(f'state {2*(ii+1)}')\n",
    "plt.xlabel(\"state 1\")\n",
    "plt.ylabel(\"state 2\")\n",
    "# tikzplotlib.save(\"data/phase_clifford.tex\")\n",
    "# plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "if xstates.shape[-1] >= 3:\n",
    "\n",
    "    fig = plt.figure()\n",
    "    ax = fig.add_subplot(projection='3d')\n",
    "\n",
    "    cmap = plt.get_cmap('jet', len(np.unique(timeseries)))\n",
    "    for i, x, y, z in zip(target, xstates[:, 0], xstates[:, 1], xstates[:, 2]):\n",
    "        ax.scatter(x, y, z, color=cmap(i))\n",
    "    ax.set_xlabel('state 1')\n",
    "    ax.set_ylabel('state 2')\n",
    "    ax.set_zlabel('state 3')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Training"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Score of SVC(kernel='linear', max_iter=1000): 0.5645454545454546\n",
      "Score of SVC(kernel='sigmoid', max_iter=1000): 0.56\n",
      "Score of RidgeClassifier(alpha=0.000875, max_iter=1000): 0.5509090909090911\n",
      "Score of RidgeClassifier(alpha=0.001, max_iter=1000): 0.5500000000000002\n",
      "Score of RidgeClassifier(alpha=0.00075, max_iter=1000): 0.5463636363636365\n",
      "Score of RidgeClassifier(alpha=0.000625, max_iter=1000): 0.5400000000000003\n",
      "Score of RidgeClassifier(alpha=0.0005, max_iter=1000): 0.5381818181818183\n",
      "Score of RidgeClassifier(alpha=0.000375, max_iter=1000): 0.5318181818181819\n",
      "Score of RidgeClassifier(alpha=0.00025, max_iter=1000): 0.5190909090909094\n",
      "Score of RidgeClassifier(alpha=0.000125, max_iter=1000): 0.5072727272727277\n",
      "Score of SVC(max_iter=1000): 0.5072727272727274\n",
      "Score of KNeighborsClassifier(n_neighbors=9): 0.49272727272727296\n",
      "Score of RidgeClassifier(alpha=0.0, max_iter=1000): 0.4927272727272729\n",
      "Score of KNeighborsClassifier(n_neighbors=8): 0.48000000000000015\n",
      "Score of KNeighborsClassifier(n_neighbors=7): 0.4627272727272727\n",
      "Score of KNeighborsClassifier(n_neighbors=2): 0.44000000000000017\n",
      "Score of KNeighborsClassifier(n_neighbors=1): 0.4363636363636363\n",
      "Score of KNeighborsClassifier(): 0.4200000000000002\n",
      "Score of KNeighborsClassifier(n_neighbors=6): 0.41636363636363655\n",
      "Score of KNeighborsClassifier(n_neighbors=4): 0.4063636363636367\n",
      "Score of KNeighborsClassifier(n_neighbors=3): 0.3436363636363636\n",
      "Score of SVC(kernel='poly', max_iter=1000): 0.28909090909090923\n"
     ]
    }
   ],
   "source": [
    "\n",
    "\n",
    "results = util.stress_test_models(xstates, target, models, test_to_train_ratio=1/3)\n",
    "sorting = np.flip(np.argsort(results))\n",
    "for model, res in zip(models[sorting], results[sorting]):\n",
    "    print(f'Score of {model}: {res}')\n",
    "    \n",
    "\n",
    "model = models[sorting][0]\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Predicting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Predicting...: 100%|██████████| 10/10 [00:15<00:00,  1.58s/it]\n"
     ]
    }
   ],
   "source": [
    "predict_from = timeseries[-20:]\n",
    "num_preds = 10\n",
    "\n",
    "\n",
    "preds = qres.predict(\n",
    "    num_pred=num_preds,\n",
    "    model=model,\n",
    "    shots=SHOTS,\n",
    "    from_series=predict_from,\n",
    ")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1e3b776e250>"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "true_values = timeseries\n",
    "\n",
    "pred_plot = np.append(predict_from[-num_preds:], preds)\n",
    "true_plot = np.append(predict_from[-num_preds:], true_values)\n",
    "\n",
    "minlen = min(len(pred_plot), len(true_plot))\n",
    "\n",
    "plt.plot(pred_plot[:minlen], label=\"Predictions\")\n",
    "plt.vlines(num_preds - 1, ymin=np.min(target), ymax=np.max(target), colors='k', linestyles='dashed')\n",
    "plt.plot(true_plot[:minlen], label=\"True timeseries\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Experiment: 100%|██████████| 1000/1000 [2:20:01<00:00,  8.40s/it] \n"
     ]
    }
   ],
   "source": [
    "assert(0 == 1)\n",
    "NUM_EXP = 1000\n",
    "exp_res = np.zeros((NUM_EXP, len(models)))\n",
    "\n",
    "for i in tqdm(range(NUM_EXP), desc=\"Experiment\"):\n",
    "    circop = utilities.random_circuit(n_qubits, gates=[\n",
    "        HGate, SGate, CXGate#, TGate\n",
    "    ], depth=40)\n",
    "\n",
    "    OP = circop.to_gate(label='RES')\n",
    "    qres = QReservoir(qubits=n_qubits, layers=[\n",
    "    Layers.Reset(),\n",
    "    Layers.Timeseries(build_method=build_method, \n",
    "                      encoding = encoder,\n",
    "                      reservoir = OP)\n",
    "    ])\n",
    "\n",
    "    states = qres.run(\n",
    "        timeseries=timeseries, \n",
    "        shots=SHOTS,\n",
    "        transpile=True,\n",
    "    )\n",
    "\n",
    "    xstates = states[:-1][warmup_idx:]\n",
    "    target = timeseries[1:][warmup_idx:]\n",
    "    exp_res[i] = utilities.stress_test_models(xstates, target, models, test_to_train_ratio=1/3, N=50)\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# np.save(\"data/clifford_LONGSIM\", exp_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "fig, axes = plt.subplots(ncols=3, nrows=3, sharex='col', sharey='row')\n",
    "fig.suptitle(\"KNeighborsClassifier\")\n",
    "ii = 0\n",
    "jj = 0\n",
    "\n",
    "mod = KNeighborsClassifier(n_neighbors=2)\n",
    "for idx, model in enumerate(models):\n",
    "    if type(model) == KNeighborsClassifier:\n",
    "        axes[ii][jj].hist(exp_res[:, idx], density=True)\n",
    "        axes[ii][jj].legend([model.n_neighbors])\n",
    "        ii += 1\n",
    "        if ii >= len(axes):\n",
    "            ii = 0\n",
    "            jj += 1\n",
    "# temp_res = exp_res[:, 0]\n",
    "# _ = axes.hist(temp_res)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.figure()\n",
    "plt.title(\"KNeighborsClassifier\")\n",
    "for idx, model in enumerate(models):\n",
    "    if type(model) == KNeighborsClassifier and model.n_neighbors in range(1, 4):\n",
    "        # plt.xlim([0.5, 1])\n",
    "        plt.hist(exp_res[:, idx], density=True, label=model.n_neighbors, alpha=0.7, bins=50)\n",
    "        ii += 1\n",
    "        if ii >= len(axes):\n",
    "            ii = 0\n",
    "            jj += 1\n",
    "plt.legend()\n",
    "plt.xlabel(\"Score\")\n",
    "plt.ylabel(\"Probability density\")\n",
    "# tikzplotlib.save(\"data/clifford_KNeighbors.tex\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(ncols=4, nrows=3)\n",
    "fig.suptitle(\"RidgeClassifier\")\n",
    "ii = 0\n",
    "jj = 0\n",
    "\n",
    "for idx, model in enumerate(models):\n",
    "    if type(model) == RidgeClassifier:\n",
    "        # axes[ii][jj].set_xlim([0, 1])\n",
    "        axes[ii][jj].hist(exp_res[:, idx], density=True)\n",
    "        axes[ii][jj].legend([round(model.alpha * 1e4, 1)])\n",
    "        ii += 1\n",
    "        if ii >= len(axes):\n",
    "            ii = 0\n",
    "            jj += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# fig, axes = plt.subplots(ncols=2, nrows=2)\n",
    "# fig.suptitle(\"SVC\")\n",
    "# ii = 0\n",
    "# jj = 0\n",
    "plt.figure()\n",
    "plt.title(\"SVC\")\n",
    "# plt.xlim([0, 1])\n",
    "\n",
    "for idx, model in enumerate(models):\n",
    "    if type(model) == SVC:\n",
    "        # plt.xlim([0.5, 1])\n",
    "        plt.hist(exp_res[:, idx], density=True, label=model.kernel, alpha=0.7, bins=50)\n",
    "        ii += 1\n",
    "        if ii >= len(axes):\n",
    "            ii = 0\n",
    "            jj += 1\n",
    "plt.legend()\n",
    "plt.xlabel(\"Score\")\n",
    "plt.ylabel(\"Probability density\")\n",
    "# tikzplotlib.save(\"data/clifford_SVC.tex\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Score')"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(ncols=2, nrows=1, sharey=True)\n",
    "\n",
    "ax[0].set_title(\"KNeighborsClassifier\")\n",
    "for idx, model in enumerate(models):\n",
    "    if type(model) == KNeighborsClassifier and model.n_neighbors in [1, 2, 3]:\n",
    "        ax[0].set_xlim([0, 1])\n",
    "        ax[0].hist(exp_res[:, idx], density=True, label=model.n_neighbors, alpha=0.7, bins=50)\n",
    "        ii += 1\n",
    "        if ii >= len(axes):\n",
    "            ii = 0\n",
    "            jj += 1\n",
    "\n",
    "ax[0].legend()\n",
    "ax[0].set_xlabel(\"Score\")\n",
    "ax[0].set_ylabel(\"Probability density\")\n",
    "\n",
    "ax[1].set_title(\"SVC\")\n",
    "\n",
    "for idx, model in enumerate(models):\n",
    "    if type(model) == SVC:\n",
    "        ax[1].set_xlim([0, 1])\n",
    "        ax[1].hist(exp_res[:, idx], density=True, label=model.kernel, alpha=0.7, bins=50)\n",
    "        ii += 1\n",
    "        if ii >= len(axes):\n",
    "            ii = 0\n",
    "            jj += 1\n",
    "ax[1].legend()\n",
    "ax[1].set_xlabel(\"Score\")\n",
    "\n",
    "# tikzplotlib.save(\"data/clifford_BOTH.tex\")\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "quantum",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}