Quantum Circuit Swap.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Task 1 (Swap Test)\n",
    "\"\"\" Created by @alcalars\n",
    "\"\"\" Swap Test Steps:\n",
    "\"\"\" - Apply a Hadamard gate to the ancilla qubit\n",
    "\"\"\" - Apply CSWAP (a, psi, phi) where a is the control qubit, while psi and phi are the targets\n",
    "\"\"\" - Apply a Hadamard gate to the ancilla qubit\n",
    "\"\"\" - Measure the ancilla qubit in the Z basis and record the result of the measurment \n",
    "\"\"\" (we assume that measurements yield either 0 or 1, and we denote the outcome of the measurement by Mj)\n",
    "\"\"\" https://en.wikipedia.org/wiki/Swap_test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Task 1 answers\n",
    "# 1) Swap test applied\n",
    "# 2) I used Transpolation for finding the best choice of the random parameters (Transpilation is the process of rewriting a given input circuit to match the topoplogy of a specific quantum device, and/or to optimize the circuit for execution on present day noisy quantum systems.)\n",
    "# 3) I found the last part of the problem (grid search) but TBH I didn't had time to adapt it to mine, still included a part"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Import libraries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Importing standard Qiskit libraries\n",
    "import qiskit as q\n",
    "from qiskit import QuantumRegister, ClassicalRegister, QuantumCircuit, transpile, execute\n",
    "from qiskit.circuit import Parameter, QuantumCircuit\n",
    "from qiskit.circuit.library import QFT\n",
    "from qiskit.tools.visualization import plot_bloch_multivector\n",
    "from qiskit.visualization import plot_histogram\n",
    "from qiskit import Aer, IBMQ\n",
    "from qiskit.providers.ibmq import least_busy\n",
    "from qiskit.tools.monitor import job_monitor\n",
    "\n",
    "import networkx as nx\n",
    "\n",
    "import numpy as np\n",
    "from numpy import pi\n",
    "\n",
    "import matplotlib.pyplot as plt \n",
    "from   matplotlib import cm\n",
    "from   matplotlib.ticker import LinearLocator, FormatStrFormatter\n",
    "%config InlineBackend.figure_format = 'svg' # Quality image\n",
    "\n",
    "from matplotlib import style\n",
    "style.use(\"dark_background\")\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "statevector_simulator = q.Aer.get_backend(\"statevector_simulator\")\n",
    "qasm_sim = q.Aer.get_backend(\"qasm_simulator\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Cool stuff for visualization because its important"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def evaluate(circuit):\n",
    "    result = q.execute(circuit, backend=statevector_simulator).result()\n",
    "    statevec = result.get_statevector()\n",
    "    \n",
    "    num_qubits = circuit.num_qubits\n",
    "    circuit.measure([i for i in range(num_qubits)], [i for i in range(len(circuit.clbits))])\n",
    "    qasm_job = q.execute(circuit, backend=qasm_sim, shots=1024).result()\n",
    "    counts = qasm_job.get_counts()\n",
    "    return statevec, counts"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Initialize the circuit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Empty Ciruit\n",
      "     \n",
      "q_0: \n",
      "     \n",
      "q_1: \n",
      "     \n",
      "c: 2/\n",
      "     \n",
      "Swap Ciruit\n",
      "     ┌───┐   ┌───┐\n",
      "q_0: ┤ H ├─X─┤ H ├\n",
      "     └───┘ │ └───┘\n",
      "q_1: ──────X──────\n",
      "                  \n",
      "c: 2/═════════════\n",
      "                  \n"
     ]
    }
   ],
   "source": [
    "#Number of qbits (work on this later)\n",
    "qubit = 2\n",
    "\n",
    "#Create circuits\n",
    "org_c = q.QuantumCircuit(qubit, qubit) #Clean 2 qbit circuit\n",
    "swap_c = q.QuantumCircuit(qubit, qubit)\n",
    "swap_c.h(0)\n",
    "swap_c.swap(0,1)\n",
    "swap_c.h(0)\n",
    "\n",
    "#Draw the circuit\n",
    "print(\"Empty Ciruit\")\n",
    "print(org_c.draw()) #This is how the beginning circuit looks like empty\n",
    "\n",
    "print(\"Swap Ciruit\")\n",
    "print(swap_c.draw()) #This is how the circuit looks applying a swap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "This is how a initialized bloch sphere looks like\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Evaluate the original circuit\n",
    "statevec, counts = evaluate(org_c)\n",
    "\n",
    "#Plot original in Bloch Sphere\n",
    "print(\"This is how a initialized bloch sphere looks like\")\n",
    "plot_bloch_multivector(statevec) #This is how a bloch sphere looks at the \"beginning\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "This is how a swap test looks on a bloch sphere\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Evaluate the circuit\n",
    "statevec, counts = evaluate(swap_c)\n",
    "\n",
    "#Plot Vector in Bloch Sphere\n",
    "print(\"This is how a swap test looks on a bloch sphere\")\n",
    "plot_bloch_multivector(statevec) #This is how a bloch sphere looks applying a swaptest"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Plot histogram\n",
    "plot_histogram([counts], legend=[\"output\"]) #This is how the meassure looks at the \"beginning\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Random number: 235\n",
      "Swap Circuit with Parameters\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"word-wrap: normal;white-space: pre;background: #fff0;line-height: 1.1;font-family: &quot;Courier New&quot;,Courier,monospace\">     ┌───────────────┐                                        ┌─────────────┐ »\n",
       "q_0: ┤ U3(0,0,235/2) ├──■─────────────────────────────────■───┤ U3(π/2,0,π) ├─»\n",
       "     └───────────────┘┌─┴─┐┌───────────────────────────┐┌─┴─┐┌┴─────────────┴┐»\n",
       "q_1: ─────────────────┤ X ├┤ U3(0,0,-117.500000000000) ├┤ X ├┤ U3(0,0,235/2) ├»\n",
       "                      └───┘└───────────────────────────┘└───┘└───────────────┘»\n",
       "c: 2/═════════════════════════════════════════════════════════════════════════»\n",
       "                                                                              »\n",
       "«          ┌───┐     ┌─────────────┐┌───────────────┐     »\n",
       "«q_0: ──■──┤ X ├──■──┤ U3(π/2,0,π) ├┤ U3(0,0,235/2) ├──■──»\n",
       "«     ┌─┴─┐└─┬─┘┌─┴─┐└─────────────┘└───────────────┘┌─┴─┐»\n",
       "«q_1: ┤ X ├──■──┤ X ├────────────────────────────────┤ X ├»\n",
       "«     └───┘     └───┘                                └───┘»\n",
       "«c: 2/════════════════════════════════════════════════════»\n",
       "«                                                         »\n",
       "«                                                        ┌─┐   \n",
       "«q_0: ───────────────────────────────■───────────────────┤M├───\n",
       "«     ┌───────────────────────────┐┌─┴─┐┌───────────────┐└╥┘┌─┐\n",
       "«q_1: ┤ U3(0,0,-117.500000000000) ├┤ X ├┤ U3(0,0,235/2) ├─╫─┤M├\n",
       "«     └───────────────────────────┘└───┘└───────────────┘ ║ └╥┘\n",
       "«c: 2/════════════════════════════════════════════════════╩══╩═\n",
       "«                                                         0  0 </pre>"
      ],
      "text/plain": [
       "     ┌───────────────┐                                        ┌─────────────┐ »\n",
       "q_0: ┤ U3(0,0,235/2) ├──■─────────────────────────────────■───┤ U3(π/2,0,π) ├─»\n",
       "     └───────────────┘┌─┴─┐┌───────────────────────────┐┌─┴─┐┌┴─────────────┴┐»\n",
       "q_1: ─────────────────┤ X ├┤ U3(0,0,-117.500000000000) ├┤ X ├┤ U3(0,0,235/2) ├»\n",
       "                      └───┘└───────────────────────────┘└───┘└───────────────┘»\n",
       "c: 2/═════════════════════════════════════════════════════════════════════════»\n",
       "                                                                              »\n",
       "«          ┌───┐     ┌─────────────┐┌───────────────┐     »\n",
       "«q_0: ──■──┤ X ├──■──┤ U3(π/2,0,π) ├┤ U3(0,0,235/2) ├──■──»\n",
       "«     ┌─┴─┐└─┬─┘┌─┴─┐└─────────────┘└───────────────┘┌─┴─┐»\n",
       "«q_1: ┤ X ├──■──┤ X ├────────────────────────────────┤ X ├»\n",
       "«     └───┘     └───┘                                └───┘»\n",
       "«c: 2/════════════════════════════════════════════════════»\n",
       "«                                                         »\n",
       "«                                                        ┌─┐   \n",
       "«q_0: ───────────────────────────────■───────────────────┤M├───\n",
       "«     ┌───────────────────────────┐┌─┴─┐┌───────────────┐└╥┘┌─┐\n",
       "«q_1: ┤ U3(0,0,-117.500000000000) ├┤ X ├┤ U3(0,0,235/2) ├─╫─┤M├\n",
       "«     └───────────────────────────┘└───┘└───────────────┘ ║ └╥┘\n",
       "«c: 2/════════════════════════════════════════════════════╩══╩═\n",
       "«                                                         0  0 "
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Create circuit\n",
    "cs = q.QuantumCircuit(qubit, qubit)\n",
    "\n",
    "#Create some parameters\n",
    "a,b = Parameter (\"a\"), Parameter (\"b\") \n",
    "\n",
    "#Add de parameters\n",
    "cs.cp(a,0,1)\n",
    "cs.h(0)\n",
    "cs.swap(0,1)\n",
    "cs.h(0)\n",
    "cs.cp(a,0,1)\n",
    "cs.measure([0], [0])\n",
    "cs.measure([1], [0])\n",
    "\n",
    "seed(1)\n",
    "rn = np.random.randint(9999)\n",
    "                  \n",
    "cs.assign_parameters({a: b}, inplace=True)\n",
    "trans_cs = transpile(cs, basis_gates=['cx','u3'], optimization_level=3)\n",
    "st_cs = trans_cs.assign_parameters({b: rn})\n",
    "\n",
    "print(\"Random number: \" + str(rn))\n",
    "print(\"Swap Circuit with Parameters\")\n",
    "st_cs.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Evaluate the circuit\n",
    "statevec, counts = evaluate(st_cs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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exPLaGtbX1rCyugoAkT0DjAsh9imeI8KeCSGQZRmyoiCVTmPnzp0wLQs3b9zAaqGApaUlbJRKqFarIwfagZHDfM4QdcnpiQnsmp1FNp1mhqEooJSi1WyyFA2P9MQqjgIIwhAhpSBhCD8IQICo6E8pBQ1DeL4fGaesKDBNE4QQ+L4Ph6dpJUmCYVmoVas4sH8/9u7fjzt37mBxcRGGYUSEgTAMEXAjD7mTDHhKSOwv4OlhEfEKWLaNCxcuoFqt4sHCAkvtNhpYXV/H6vo6CoVC28Pjh4qRw3y1oWkakokE5nfvxuTYGHRNi4Y0e57HCDiSBIlnaUQ2JwwChGEYEfhE7VLYlbA1r9WC5/sAAMM0oaoqwjCE22zC9zzGjE0m4bouTMPAqVOnEIQhbty4gZbvwzJNuI6DVqsV2XEQhpE9hyLw5bZMwJ4Pndh34AD27d2Lr27cgOM48IMAxXIZS8vLWC8UUK/Xv7uL/hJj5DCfE3RdRyKRwK6ZGUxPTMC2LBCeRjUMgzk7TvumvKYB7iA9nsoh3DERQiICAPi/xd9ETST0fXjc4Aj4ytLz0HQcKLy+cey11+C2Wvjm1i04joOAp4RkRUGtXI5WgnHdSi5nERGJKAA/CKIVKPj+CRgJ6cL586CE4NOrV5kDt20EYYhipYLllRUUfuDGNnKYrx5kWWas9HweO6anMZ7LQVEUSLIMwzAgKQrLxHhexGYVqzfP91kpBe2Md0mSQGQZbTcDd2gAszGv1YIfBFAUBb7vw+fO1LAs7Jiexp65Ody5exdLi4uMq+B5MAyDZZJcF1tuNO644/YdOdO2txFIAKZnZnDy1Clc++wzFNbXYdk2FE1DvV7H6sYG1tfXsbGx8YMOhEcO8xlACIFlWchlMtizaxdmJiagaBpzSoRA4WkPp9lsW9HFUze+70c3r7jmgagJciclviFJkqAoCjRNg6ppkFUVSqz+qPE0bS6XQyadxqOFBSwvLzPj4ylbRZZhWhaajcbmKpZSxrrlKaQgCNpaVSKn2Qme3jlx4gTS6TTefucd0DCEqqqwk0koioJKo4G1tTUsLi2hVqt9K9/Dy4yRw3x1oKoqEokEds7OYtfsLFK2zeqAPMDVdR2e76NRraLleSzVybNBYtXo+f6WuZVidSkgbFqWZWbLug5VUaCoKiTOjBf1TdOyMDE+DqfZxL1799Cs1+Hzmijlzx8AcDgTPmLVC1v2fZYCxuZzxI+1qsRBKEUmm8XF11/Hp9euYWV5mRGGbBumaaIVBChVq1hcXMTq6uoP0nGOHOZTgBAC27aRzWYxv2cPds3OQuKrsiAM4TkOS9UoCoIgQD3mKMRNLf4/iBmY+N15I0qx1K1IjxLuKAEmWGBwJ7Vnbg6aYeDh/fuMgee6cB0HnutG27Ntm9VdRCQsGqTFMXKjE6kkyh2843mMuMAOti1yff3111Epl3H9q6/Yipe/x7Rt6IaBjXIZq7xFpdlsPutX8Mpg5DBffmiahmQyienJSRzavx+2bQMioPU8tFyXkXUIiRwW0G7HBGzFh5gtEUK22DIhBJIss9+SBDlmy4JPoCgKLMPAxNQUxsfGAE3DrRs3UG800HIcuJz/QAiBputQFAUNnsUhHXYJIOJJiNVlSCnjUPD0rchkCeSzWZy/cAG//tWv4DhOdO4KDyhaQcBKL6urKJfLPyjHOXKY24Rt25iYmMDY2Bj27NiBBE+JtFyX3Vz8ulmJBMDVdUTaReq4mb0YCxbYdFREkqDIMmPSxZqZ2yJIQQ4CoOk6LMPAsePHUalWMTk9jXffeQeaprHPcGNxHQeO40CWJPi+D1cYAz82kSoWhiscNOGOWaRmgyCA7/ushsPTUrqu480338QnV69ijZMQBCRCYCUScMMQG8UiSqUSyuUyu17fc4wc5ssLRVGQzWYxOTmJ2akpTI2PI/Q8OK6LluNEqVVFUaDzWmHTcTYdYsw5hpSyskqHPQdhCFVRIKsqNFmGJNrHwJxswB0Y5eUZldv97M6d2L1rF7748kucOnMGH1y5wmyUf8bzPLiuC58H5o1qNcpUEf4+EVxT4Zy5LQuOgnCkwpajlSuAw4cOYWxsDO++9x57pgl/QAh0TYNqmihVqyiWSihxgtAPgS3fy55HfZgdUFUVu3btwsTEBCbyeSRNE06zidVSqY3FCkqhGQZACFzHYYw0svUai4I8KIXCU6uqqrYZYcDbToLYjUw5607ijcy6osBOJHDixAk8uH8fS8vLmJ2eRrFQQCKRACUEvudB0zSYpgnLsqBqGlzXRaVcRqNeZw4VvA4a23e8LzRyrPw4dV2HbhhtDvSzzz/HmdOn8atf/SqivwPsYVKrVqEoCsYzGSQsC4ZhoFKpoFwu/yAMbYSXB4QQZLNZ7Ny5E5Pj48ilUpABlAoF+DF5OeGAdNNk7SGtFlPW6oLQ96P6vqKqUGU5agET8DwPnuNEZRkATHyEUuiaBt0wIMky5ufnkR8bw5UrV5jiFyEoF4vQdD1aIZqmiXQ6zco/sgxNVVGtVuG3WlGAHlKKEJvPjCi7RSmILIMGAVS+QlU1jZ0zd6D3HzzAxMQE9u/fj1s3b7atnF3XRavVQsI0YUxMwDJNFE0T5XL5B5U9imPkMDkIIdi9ezd27dyJ6fFxWLqOWqWCjdXVLbUKwls+dF2PVl9xCOdDJAmGYUDnaj7CGQVBgJbrwve8qI4Zj2AFw02w6QAgmUrhxIkT+Or6dTx5/BiJZDLaX7VaZdqTioJmo4FisQhd05DL5WBbFiRCkEgm0azXWUM0Pz5hxHHCEcDqrWJlSsF7yRQFsqJANww0HQdr6+s4f+ECPv74Y7Rct2117fs+IzGYJuZ37kSxUsGKrkftKCOM8G0jnU5jz5492LVjB3LJJHzPQ6VUihyYCHoJz7aYtg0AaHbcn7HRaFCFs+PpVf4GtFqtaPUW762MPwd0VY0cJQAcOXQImq7j7cuXWYaIH4vDHZFmGKC+j8L6OgCW8cpPTCCVTDICkOuiUasxJn2c1Bf/f/5vLwjgNxqMYChJ0FQVMu/DVjUN39y+jTNnzqBWrWJ1ZWWz3YyfR7PRgKKqmMznkc9msbS8jGK5/INL0wIjhwkASCaTeO2117Bv1y4YmoaNYhGFcpnRwPlNJ2oRArquR72RQIdxcNksEXk6rgu31YoanuN9j52OUua1DcMwQCQJvuchPzaG48eP45NPPsHq6irbdwyUUtTrdVi2DcOyIEkSHMfBRrEIi/doJhIJpNJpWIkEIyfx1EoA1tISP88Q2HSiYPXXqA4K5kBv3riBN378Y8zMzGCjWGQ9p/wcRRqqXquB2jZSto3E7t0oV6t4tLiIcoy5O8IIzxOEEMzNzeG1Q4cwmc/DaTRQXF9nqz0RnAr2OncIsqIwm2k2N9u7wO5hRZah6jrTf5UkhNzmfZ4mFWLp4skgiVYt/v+SLLPAV1GidO7ZM2fgui7ef+89+EEAy7KiFZsky2jy4zBNE8lkMlLokgsFtHgWybJtGLoOt9VCs16Pyi4eL6eIc6PCtvnxAEDLdUFdF5RSyLIMR1Vx59YtHDx0CI1mkwX03J7FNfO4bVuJBHZMTyOfzWJ1fR2Ly8s/KDH4H7TDJIRgx44dOHH0KHZMTqJcLGJ1YyNikEa1yI5Uq8wVNRqNRtSDpaoqNK7QQwhhslaOA5cr+QRBECntiJsw3tohUkAG15wNKUWzVsPE+DiOHjuGd999l6U1gwCKbcPzfZaK4dvygwC1ahWWZbFUkdgHIWg2m3AcB4qqIpVKIZFIwLQsuI6DWrW6ecMTEjHrBJlH/D3en+lxB/rNjRvYuXMnlpeXoWkaNE1jKS2eyqEAatUqklwhxTZNHNq7FwuLi1heWRmlaEd4rrAsC68dOYLD+/ZBlWWsLS0xW6YUCMOeaVadp0AdXlqRJGmToc7ZrL7vw+dEHM/3I/KOxFOeQHsGSgJ7ThimCQLA5aIHb7zxBirlMj77/HNQXqahAFp8dRrwtKpwVgYvr9RqtahUUy6VUCmXkUgmYds2dF2H73lo1OsIarVNZwmmBiYC+Qg87SoCd9d1cffOHczNz0PXddTrdZhcp1aQoUQ2rFGvw7ZtKLKMmclJJGwb9x4+/MFkjn6wDtM0Tezftw8njxyBqetYXVlhjoM7wF7GRSllTcfcWZmWFUWflFJ2g8WZqbztJGrrAFPZCSib3i0kswgXQpAkCZ7nwXEcZLJZnD59Gh9+8AHK5TLbHm9hEXXT2IEBhAmwW5YF3TCiY5BkGR6/4dfX1iDJMtPCtCxmIM1mFKWGQQA5NnkBlDKloRhEEPHk8WMcPnwYpq5jo1hkTlPXWc2VG5vjOKjWakgkElAUBa7rYn73bqRTKdy+ezdiIo4wwrNgenoaJ44exZ7ZWdSrVRTW1yOxAdLpMGIgfMSW5zgwDIPxDBQlYr42m00W/PHngkhp+jGugc97IKXYqs7gQuwA0Gg0EIQhzp09C8dx8PkXX0T7V7k4QsDtgABRT6cQKTEti00jCkPIPJhGGKJSLqNcKsG2bSSSSaTSaRiWFWnR+tyxAzyLJFae8ecGXxRQAHdv38bevXvx/vvvQ5YkaLoOVdNgc5GFVquFeqOBRqMBw7Lgt1pIWhaOHT6MO/fvo9Bl6PX3DT9IhznJaeWH9++H02hghfcwitpEJwsO2IweFV7HA6WQeR3R8zz4XIWjLdXIb0TKG5pD0cdFCJuFx6HrOhNLp5SlRHwfCdvG6xcu4Nq1a9GNGFI2/UCw7uKQJIkZNV/5JhIJltYFW72GPJ0UUgoEAYrFIiQRpZomDE1DvdlEuVhsc2JCPQTAlodOCODe3bs4dPgwPrhyBS5P40R9Z5zGL2ouGl+FO/U6xjIZWEePMsWRWCvMCCNsB4ZhYM/u3Th19CgyySTW19dZ4MdZq8LRdUIQ3GzLgqZpkaMSEnhCUSf++TgxTpFltDgBSBH1TLDg1DTNSHNWlGyOHz0KwzDw/vvvtz0jREvaluPjv4XT1E0Tuqoykh1/rgjRk4ZwYoaBRDLJgmHDQLlSQb1abdsuiZ1D53VZWFjAwUOHkE2nUSqX0Ww04DSbLHum64yPoetwHAdeqwVNVaNWnCMHDuDh48dYePz4Kb7FVwc/KIepKAr27t2LI/v3YyKfR7VcRq1ahZgaEtHIY58R5ABJkiArCtLpNBRFQa1Wi1hkgRBS7iItxzbIIkaZt2+0Wi2W5pRlWJwI4Ps+mrxdRdd1XLx0CTdv3sTS8vLmZsCaoAF0XZmFAITp1mo1JFMp2IkEGs0m4HkR9VwQE0Iepa6vr8PiY4r0qSnUqlVU+YpW7JeCMQRFbYbwKSsPHjzA/gMHkEqnUalUohV0k7e2KLyWa3IGoiA/VatVpFIpnDx6FHfv38faDyA6HeH5Ynx8HAf27cPhvXsRBgHW19aYbVEaZYjCmHOK1xZlXltMJJMs4BWpRyEfyVeT3eTlBGFOUxR4XMcV4IEvD6adRiOy0f379mFschLvvv125ByFs1NkuWsNUMzXJITA8zwmxWkYMEwT1Wo1YuULBj4hBI7jsPongEwmg2wmA9uyUC4W2/ZBAECkqoFo1q4fhrh75w4OHDyIjz/+OGpLaXUEwoqqQuH8Bt000ajX4Xke9uzYAdswcPfhw+/tjM7ueYrvIVRVxdEjR3D++HGkLQu1SgXNRoO1gtCYRByPvsKYcal8ioCdSEBWFFSqVRaBOU7UEKxwpZBO0JgzFWkbVVGgqipMywKRZTYIttlk0aqi4PXXX8fjR4/w4MGDze3QTTHloIeChyAcCNS4YSW4fB+AaMUpUkktbvC1SgUry8vwXBepVAqT09MwTDPalmDuRg8iLnLQ8jzcuXMHe/fti95HYoGD12qh2WiwGgw/h0QiAcu2Ua/XoSoK5nfvxhwfQTbCCMNgcnIS50+dwqG5ObQcB/VajQ0miLE7gU2egKjjKbIMna/ELNtGy/NQWF9HvV5nE4UoZQMIOkQ+BARnQdzfMrcJy7KgaxoC30eNp0MBYMfOnZifn8eV99/f4kRkLmzQbYUpSjgCrutGq7o46U8Er77Qn+bSe2urqygVi9BUFWMTE8hks+3On5edZJ55EmIHd+7exdj4eKQsJNLQ8RR1tVxmxCGw0lY6k4kChHw+j8P79iGVSGzvC31F8INwmJqm4ezp0zh99Cg8HkV6vF4p6g8AAEojaThZkqByzVTDslgE5nmo89YM8Aix64oS7eIE8RuV8v5N27YhERKRboShnzt3DpVyGTdu3tyyPYClcMIuBgZs1j7in3EaDciyzDRvecrJ9334sRqlOL6A09gL6+uQCEEun0dufByyomzZjyRJbDVLKR4+fIjpqalNlZE4G5E/eFzXRbVSQa1WQxAEyGazbFAun+mZSqWwf88eqLH01ggjdMPMzAx+68IFjKXTaDYarMHfddkcytj7xBg9SWJj63Rdh5VIQOPtYK1WK6r1Ae1TQDrRNr82Dt6ypWoaWq1W1O8MsBXwsaNHceWDD9r6Fil/dohsUa/WjM4AuNlsIghDxsLnrSiiNxoiKIh9vlGvY3lpCQ4v0YxPTcHi7TOd+xELB8/zsLy0hKmpqUghKF6/JZKEkG9bZOh0w8D41BQTNyEEpmFg9+wsxnO57l/gK4zvvcPUdR0/fv11HN2/H5VikU0g4OScMBaNipWlGIdjWFbUoiEMK4zpSXZL1QiINo1u7zEMA7qmwQ8CNGo1tjrlTvXo0aMIKcVn1661GYoQMBBkpH69T511Rs/zGJuXM/J8zsITNRuR+onDdRwsLy2hXq3CNAxMTE4imU532Rn7vOs4qFerGBsbi4436HCeiiwz9p/jYG11Fc1mE8lUKkpjWZYFXVWxb24OlmH0PL8RftiY270bv/PGG6zmXq9DURRWRwM2eyyFcxNzIjUNViIB3TAQBAEa9XpUo2y1Wn0dJUTg26XmJ8sybNsGIQTNRgOe50WrtoRt4+zZs/jwww8jwt7mJmn0eaHo0w1iEINAGIaoNxrwfJ+xaylte72bLYdhiGKxiNWVFSAMkc3lMCa0sDsgMkhPFhcxPTUVkYNCbNozDUNI/L1BEKBWq6HIZ+0m02mWObNtyJKEqfFx7Jia6n5dX1F8rx2mruv4yaVLmN+5E4VCIRrNIxryxVSQMMYeMyyLpV55baFWrUbpB0mWo0kg3SBINfF6aBxi3p3He6fimJ6awszMDK5dvQrEVqWU0vYRQkEAl6eOhOyVoKMLkkKLCwd4vs8iUE5kUDmLtRPdDA0AKpUKVpeX4XseUuk0JqanGeGpA4QQLK+uYnpmpk18GkB0nQPfZ2xFvsotlUpR1E0AZHM5mJYFRZYxt3Mn7Fg6eIQRAGDPrl346aVLrIRQLsMyTbYK4vNmIwfDbVnh6limaSLkWs9iGIHCpet6ZWsARMFet8BXURSYlgXwHuggTpQjBGfPncPt27cZuS5uy7ycIrJP8WHS3ew5CILIlkW9VMj2dV0tConLDjv0PA+rKyuolErQNQ0Tk5NIZ7Ndz7uwvo5sLseGPHSxZ5G+Fc+4eqOBKu+t9jwPpmUhPz4OiRBkUynM7djR8xq/avjeOkzDMHD+9GnsmplBcWMDCAKofBBswB2JaOolAHTO6NQVBc1mc9NRcsekcRECv0cxWxBpuqVohYi7oihoCi3ajmM9eeoUrl69Gs3ME58TBkAkKZLUo3zKCIA2opKIgoVjEiIEIiUaBgFMPsS2EzKf49kJ3/exvraGjbU1KLKM/NgYUl1Wm8tLS5idnWUPh44aq2DvCucprqPrOKBhiCIfJZTKZGDx6HTX7Gx0zUcYYceOHbh07hx810WjUoGsqqxRX6wuhRMCohWeaVmgYYh6rcZaO7jcHKFsSkicsBOHmEgicTJMJzRNg2lZCMMQtXp9i9M9cuQIWq0W7t69G/0tLnwiyXIkvi4cp+iJ7LRnwcCNr24JWHpWkuWo1hiHLFbDXc6tVqtheWkJbrOJJE/TKh0llzAIsLa2htmZGcb077KdqAOAX896o4GAq55VKxXohoEkJ0jaloXpiYmt23gF8b10mILgs2/3bpSLxeiGFmLknu8zB8eL+4lEAoaIQnm6JooC+c0nUiCd6ZOI3t0jRSvJMuxEAkSSWHTb2UJBCM6cPYt7d++iUChs+Xw8bSxJUtTY3A/xCDNOgmg0GgAnKGwBpVGKqBscx8HSkydouS5S6TTyExNt51ypVEApRSaTYSt5vpIEj5q7QUT7qqahVq0i8H3ouo5kOg1dVbFHOOARftCYmZnBhdOnIQPRRKCILc6n6xAwW9N1HXYiESnmNLlyjcgmSYRENfluwW/IyUG9UrSGYUA3DPic3NPplMYnJrBj505cvXq16+fFuyUeqPdb4UafoZuasQI+HzCv8MENbeBEINIjcxSGITYKBRTW16EpCsYnJ7esVpeXljA9M8Oul+jLDjeH3Heek2DGy4rCZPvq9ShNa5om8tksct3KOq8YvpdPowP79+PYwYOoVSpRqkTMnxM1C1lRoKlqZFxOs4k6r/WhSw1S5s3/cQhKdy/ijxyLABuxcUFtx3rgAAgh+ObWra7boDFnI8nyUOo4bWSBDgZws9FgvWKdTjPG+hOf64bC+jrKxSJMXcf41FTUnA0AS4uLmJ6e5pvbJDXQHsdMKYXXarE0NVcPqtVqkCQJyXQayWQSe2ZnB57vCN9fpFIpnD56FAldb+splGWZlRx4q5Igthk8TVuv1SISSptqFxAFv900oHvZMsCUhBRNg+d5aDYaWxyHbhg4ffo0rn7ySddWERrTmR1E+IlD6rBJsQ3HcQAuodcZWFLEVrU9bNlxHKysrCD0fWSyWWRiKdrllRWMj49Hxyla4oIuzzABl6eKZULYPNFmM0rRJpNJzE5NIdEtWH+F8L1zmHN79uDCyZNwG43oy43SNbyoLfFVlhGrbQjKdxiywcjxm0zpEpGKPqpekagsy7BsG5TSiDDUiVw+j/n5eXz88cc9zye+dVmWhxc7jpOZYsYkIlO1IzKN70fi6ie9DK1Wq2F1ZQUygLHJSSRSKQDMyCY7Ui9BEPSskQJMAowQNhSbgqWOK5UKgiCAnUhgfHwcu2dmhjvnEb5XUBQFP7l0CdNjY1FfcJx7IPM0v65pbatKQXITKdrOFZggzkVzLgXDtJ+ztG3Ga3CcSIygDYTg9OnTePTwIda4YHonovoqEK1ye2Vf4oj0aYUNxY6z0WgwZmoPRyTk+3rZcuD7WF1dRVMwaScnIXMiVaVSQS7GdBXXSPAQukGsegkhoEGAKm/fU1UV6UwGczt3Itml9vqq4HvlMKcmJvB7v/VbTBey2YzG3gCbLFPCiQByx6oyboQAM9YofcJXp8LIwgGRqMxXcCFn5HVzFqqq4uyZM7h27VrPeZFBEETOTvSFDesw40bWeaQiMhUsYABb3iMR0tdpep6HlZUVeK6LdDqN3NgYSqUSG0XE4QuCVIyNuyWdw1eZmq5HdRfP81AuleA4DnRdx8z0NOZ37hylZ39g+L2f/AQzExMolUqRowzR3htocc3T+KpSlFPkWO9zHILhCWwOPejrLC2LPS+4mlc37Nu7F4qi4OsbN4Y6N5mXV4YGz2ah41iFGLzCdWt7QTzDeqFULGKjUICmaRifnIRhmiiVSshkMnz3vLRCNufodnOarutGc3PF5+r1OsqlEgBG7pvfvfuV7dP83ij9ZFIp/PxnP0PA1WtE7S9S8SGECSETgpbrMkUMURsQwgKx7QnyQMANL+RsVfTpvQQ2nSWlFI2OtE28BnHi5EksLS9jmSv5xB8CEWFHtK8QJnag6Tq8IGD6k7zobllW5NjjaVhBV1c1jU1O4aQeMcBWyOeZlhXVhTohEQLaZ3UYcm3aZCqFVCoFRVWjySiiphmPhkV6SKz2BVquy3rZeGQqmrZr/AGYSCQwOTUFWVFw9+HDkWj7DwC/86MfYW7XLpQ6pBol8HS/osDQddZr3GxGGaKoZaMjuFK4mpYYrxUIHsOAIMzkztJ1nC0pXOHAMpkM9u/fj7cuX94MsnkmKz5mS9O0yB4EacgyTWbLXJtWrBRpbPtxHoCqKAhVNZq+QrlggcqnmMQnInVCZKh6BQfNZhPe8jLGxseRGxuD63nIpNMQ4vNxWyaEyYh2rs4Fw1flaW/xd8/zUCwWkUomWc/1/Dzu3L+Pcod038uO74XDzKRS+B/9B/8BVEVBYXm5jUUqblyTO0vf91Hnyvqicb+X0LpYZYkxW70EnKP38/2A0raVpWicFsc0OTmJTDaLjz78EEmezhROQqyyIgYad/o6n5xAwATYwR04iTlZsR3EnI4QRLdtO+q/FOeu8H5TVZbZ+DEuC9Y5CikSYe9haNVKBS3XRXZsDA3XRX5iAsVSqfv7eYoovn1hxHGBBCHdJx5UiUQC+XweEiG4/eDByGl+j/HG2bM4evAgytUqG2tFCIKYnep83FbI7Uw4E9Fg38shKDzQDMHIQoOcpcHn2AppOGAzsJUkNhNXlmWcPn0at+7cgSTLzJ5jqdM4YSfSq+UsXddxIgceZbh4n3icBS8+E1ImeiKcVRyUUqYJbRiR0lDIhQfCWPpZTEvqdY1838fy0hJy+Txsy0I2n29LJXci3scu/t/ntWNR/4y/p1KpQDdNGLqOA3v34va9eyhVKn2/h5cJr7zDzKXT+B+8+SYsy0JxY4PdHNi80cSKDwAq5XKben+c6t0Lgs02KH0iczasJElwXRcmT3dG9G5CIhm9AwcO4OsbN+CKthW+6hMyemJ1GL9FA8uC5LqoxW4uQpgmaz8IWb8qH/sjxVaynufB5k6TApBjgQZ4nUIYnRhRJvrFOuG6LlaXljA5MYGxsTGsrKy06dFuua48pUM5O1ewBRVVjWrFIo0b8tFlpm0jm8thPzBymt9TvH7yJE4fPw6n1UK5XGaBU8xZiqHqDa5gJctyNPC4V+Abh6IorO1pwL1j8kk+YhVqJxJbMku+72N2xw60fB9PHj1iaWMh1sEzKYIYGPB6KoBIc7per0f3uni+VPrYjAiovVYLbqsVyeIJKco6pTAtC5ZpwuGaugCiFW4QhqCit5OPE+tlQxuFAhzHwYEDBzA9M4OlpaW+CmPAZvuYCIilWAAsMkeUUrjNJnzPg21ZbKV57x6Kr4jTfKUdZj6dxk9efx3ZXA5Nx2E0b2yyyoToN+X9UkSSYJlmNDx2kHZppP6jKCBcvEB8QpZlKIoCWVGYU+Yr2KbjQOF6r6LfU8zX9H0fBw8dQmFjA48ePuy/7460paQofRlqvSAi1zjJIQ7HcWAlEvBaLdRqNaaJyx9EMr/5NUVhU+FDNmlFOFJfCCPw42q1Wnjy+DEOHTqETDoNiZCodtENov1FVRQWEVMazfaL3iPS05SiWi4jkUoxp0kI7t6/D3/kNL83eP3UKRw7dAghpayswleBIsCL0qO8pGInElEZYBhnGfKsiqjrC/sWGSBhy4auQ+G6sK7jQOJylL4IILlNS7KMubk5vPPOO33nQYrVpYBwJMO0lMRBsNkj2mssnkg7C8cbt2OJ934qmsaCAe6AA9+HzwUgfN6bGoYhKlzKMp1MIqQUaysrPfcrVr1hGEJR1aitpJOoKEpNQiTftG3snZ/Hvfv3sdEnWHhZ8Mo6TEPX8ePz55HNZFi9q1xGCERjs8TIrCAI0Gw0mFqO78PXNFiWhXqH0k4nRApE17RoVZaw7U0nJtKeIRsj5HkeatVqRDrohkQigbk9e/Dr3/xm4PltkeEi5JmcAwG69liK1aOqqlAkiWnpdjFk8VAhhCmoyLIMg7MPgyCIBszW63VYlgWn2UQqlYJECIrFYs/jkiQJpm3Da7UQcufZ9X08LVerVJjTzGYxF4a4ff/+01yOEV4ynDh8GLump2FaFhqc6RoNLOCsdiJJaPLVCcCyGpZhsPmUA4JJoQQk81qmYZpR37HE2bYEiEZnNWo11Hqw2wVee+01PHz4ENUBq6NOBm40wGCb9tymZNQDzWaTCcvzodNhGKKz21RIbBLeL61wfgThTlQ4z8D3USqVEAQBZFnGxOQkVldXe4q3AIxNLPHMl23bUHi9NQ4hbuLwRYhl25jfswfenTuoDnguv2i8srTDS6dPQ1VVJBIJuJy9JvMbyTDNSGBZ1BLFSstrtdiqqYuWogAFW/1YvH/IME0meBxzEM16nRFb+MSOSrm8dR5mB44fP45vbt3qTkuPobPGIIg/22LVxT9L+1PmHd4/1YuaLo5JCFbXajVUKhUUi0WUy2U2z5IQqJoWHSshBIHnIZlOI5fP99yu6FMVM/bEir4bCK+/1CqVaDLCzlHLySuP6YkJ7N+9G+l0GgGlKJfLUXAm2rNACOtljrFghR60wYkzvUCBSNBAaMrquh7Zhuu6qFWrTMg9DNFsNlGpVPo6tLGxMYyPj+Nmx5CE7gfQ/kwQAiRPBR6o90JIKVquC4VPROp+ODQaQOE6DqrVKkrFIoqlUiTzp/DxZ67jIJfPo1GtQuOSer2enbIswzAMptPLa6i9jkGkaFuui3qtBllRsH9+fovq0MuGl/voeuDYwYPIZTKRgVW4gflhuNkv5bpwY6o6NAzZezwPnqpGah2RUYiVk6JENQaRthHp3k4DSsQMeVC7x+yOHdANA/fu3Rt4fp0RaVR33WYKh2+sZ2tIfH9N3sJh6PpQA52FAISohwjIioJGowFNVVFvNpFUVYyPj8MwTayurLRFpyofMt1sNiPBegpWd+2VfpY4Y7laqSCZSmF2ehr1RgMbfVK/I7y8MA0DZ48di0Q+ao0GKK/fy1yvlYYh663k9hcJEYCpRdl8WHo8EJV4yUSoeQFsBenxQQpCT1pAOIjA9/umVwF2Dx4/cQJffPHFwDJJt/7OeM1+u+hfRGJwXBc2v3begDRnvO4q0rPC+iVJQsm2kU6nEVLWT57L5WDs3o21lZUt/eWWbSPkAUfE8u/jAAWZqeW6EPKhh/btw/VhgpAXhFfOYU6Nj+Pg3BxkSYJtWaiJcTqEIGHbkWqPeIgL2aa4fqrTbELh0aYnlH9kOVL58bnAue/7sC2L1S46nKXGWavxVaX43Wkgqqri6NGjuHLlykCyAd9A2z8jKvxTRKUUAB2iXut5XjQrsMUJAe0b2qS2E8JmhHYLEsQDJ6QU5WIRjVoN2VwOqUwGqqJEbQIh2DX0eZ1I7IPwOlP3k9lUOgnCMHKae+fm0Lx5s22E0givBi6ePAlT15FMpRDwhzLh2Yp4SaVTHi7exuC6brRijA8pF0LmLddlQ5hlGTplfb5xZ0kAWKYJSgjrIySbY/K62c383r1oNBpYWlwceH7derYlLtH5NBjGYQLsGWdaFkzT7GoXglwIuinr2W3SSa1Wg6KqKJdKUe/6xNQUpqanUdrYgMOvrcoZw3G5QM/3YfG/95vIIo4X3Gnum5vDnZe01PJKpWQNXcf548eZdFoqhYBHniCE1TgIQZNP/wYQra46b3pFlkHDEJZlIZ1ORxNMGrUaavU6nGZz84YmhEnlxSDLcmTMYhUrnG60GozdfIcOHsTqygo2umjFdqKXgQnm3bbRZXu9ICJDk08kEWSh+DSItpUvXxF2wnUcGIYBIUW4sryMpSdPAAAJ3q+Zy+XYtAm+8hfwfL9nHTMOodYi6kcH5+cHBgUjvFw4cegQ8rkchACB02yydKCmwTAM+GK+ZCwg7RxwIDgFqqYhmUrBME34XBO6Ua+j2WjA5fXxOJszDtM0AUmKHLNIBUfSjnRTcMM0Tezfvx+ff/750520KFc85QpTBMCDIMh4mq631UzFBBRgs5MA6D6RBWClEvE8EOO87t+7h0atBjuRiBR80pzkJwiVACMgEUKg8X7ZtvOI/VsIIbjNJpqNBvK5HMb7lHFeJF4ph3nx9GkYXBHGNE3WO+h5TEuRK3GIAdA0thqhlAkqa7yOIWoelXIZzWYTQlcy7OKQCE8BRv8Gq5FSnnrY8n5OUlB4DSaRTGLHzp348vr1oc6xWw1U5g7+aRH1Ug5AwKN10eMVic9L3cWoe/3ddV0YHWPEatUqCmtrUBUF2WwWtUoF5VIJiiwjkUggmUpB4wxZArb6ROxB1eu6iChYNwzM79kzxNUY4WXA1Pg4DszNgQBIcBammG9pGAabFxuzLzENSJBexHgtO5GApmlsoHG1Gg1X6MYKF442bs+6rkPiwgTdnFjEoOWr1iOvvYZ7d+70FPsYhEH6ysNg2Id2o15npEQe3APYEvR2O7Y4xOo9/hkahlhaWkLLcZDNZgFKUdzYQMt1YZgmUqkUYzTzWq2qKFuGYXf7big4l8HzMLd7N4yXcC7uK+Mwjx04gHEuDmwnEgAhqFWrMPiMSafRiKZjCNq4YHRatg3btqFpWlTUF0V+0ceYSCa3FLMj1ZnYzW1aFgiwRcWnGwgheO3IEdy5c4eRFbCpa9urn7EbnokksHkwW/4kyBMi6qSUsrFBnMI/zIqtG53fcZyuczNDStFyHEZI0DTUazVUymV2LYMABhdYMGwbhmG0Dfbtdq0I/wm4GPZYLocJPsR6hJcXuq7jwokT0XebsG22CgyZXGMYBHC4RiqAqA+TSBJ0TYumC0mShBbnFzQbDdSrVZaKNAzYnK0ZR+ecSHEfBr7fU/Iujkwmg4mJCdy5e5cFodi0IaB7SrNbtgh4uvJK2zY67YETG0XbS8B7QFtcN1oZclSeYAxvbpYtJjqfjbIkMR1bMNH5VquFarWKGhcxUTgh0zAM9izh7UHoEwCL10UwcnDv3pcua/RKOMyxTAaH9+0DwG7CZCLBppvzwr7rOFEKVfQ8qaoKK5GIlDFarssMK9YsLAQC6nySiGEYUWoX2GzFENGgzh/ijuMMRQlPpdPI5/MR0UfQuUXEGk+DCEdKY7/jMltPQxKIj+RBzDGG/Af8WolUirg1Xc6yG5ax1jkWzHXdKI0jjj+ZSsEwDJTKZayurMA0DGRzOYAX/avVKmrVKktxU4pkOs1SPnzQr9+rBsKdatNx4Hse9uza1ZcBPcKLx8WTJ6FrGiilrE+aEDiNBpN5FGUWbGq+KpIE3TBg2TZUTYMfhmg2GtH9Iuwz4P19zWYzEhuIO4p4bVIiJMoUNYasfR8+dAi3b92KVmui3UwweuPBnQiKhXiBsA9ZyMlt02EK5yxETsKOnlDK6/9CO1c8WVzHgQQMvVoTn4/bs9B0FjAMA8lUChTAwsOHCFotjI2PQ1GUqOZcKZXQqNfRcl2ouo5sLhcFwT3rmYgx4atVGIaBPbt2bes6fdt4JRzmiSNHAGxOEiH8oquaxgr6PDqklEnBWbYdCRE3Gw3GiosZloBIOQrdV4evfhKJBDQxrBmbDc+qqkZjqIbB4cOHcStmYN1iJWFoMm/HENNUxOpWqN34wjCwyWoTxhPEjSjWQgNCWL2DEEiKEhlDr7SMMBIhoLydlIiYmQdsrjBF6jzF68TRqr5SQb1ej1KxAsLYyqVSlBq2k8noQdkNkRQgIZFwxdzu3S9dZDoCw9T4OCZi9SmbMyuFY6s3Gm2rEIunXYUCVK1aZUFvB2kmvprzPC9icFqmGYmVCIY1wGqRlDJpvWGQyWSQzmRwvw8ZRdhVnM/QxrgHouBPtLrFf6K/cfsOYjbNd7ApuCL2NaDNBGCsWYUvLoZBp66267owDAOKoiDJ062u66JaqbAhDKurkCUJY/EZuXx1WymXWWqYUuiGgVQmA90wes7dFdrfnueh2WxiYmyMdSO8JHjpHeaOqSnkMxnWYMyZsMLJ+Z6HFifdCAp61NfXbLLpBT1SLUG4VXi5xSnnYRjCME0kksnIkYlRYIN6KAWy2SzS6XRfA9uCHnU6Ia8nbmRhiIg1dsdrjZHg8zPA5cNghzUyQkjE5nUcJ3KUhmkyw+HGJVDc2ECr1UI6m90yZUH0fIp0LZEkpJJJ9n10qbOIFHxIKWrVKjKpFHKx2X4jvDw4cfgwgM2BB/GVS71ej2bRqpqGZDIJTdfRarXQqNXQdJyuqbyomT92z4uaqCvSg8lktC/TMEA456Ebb6EbDh86hG+++SYKfgd+ShxTDKJVRhARpY4fUUaKy9315A8Msu/Y64L5u60AOGZnrusinckgyYVIarVaGxkr8H2sr61BU1XkO8b7CWlLhwfKruvCNE3kcrm2715ABD2SEKnwfezeufOl6c986R3msYMHAWxKxYn6peu6cJpNEEmCaVlMqYKzXZ1mE65wlF1urH5TCoRajWDfmoaBXC7HZu0N6M+K49ChQ22ry6eFYAE+F93UQQ+H2Ovi+nWrRfaCxBlxpmVB4XJiIsLsloJaW10F9X3kx8ba0qgi/SxJEpp8NFCz0WCr/1QKdiLR9sCImH6ERJHp7NQUYz+O8NJgz44dSCcS0SpCN4z2gcxhCE3TYFoWS736Phr1OiPk9GCJd7aZdMLl6f6W50HVNKRTKaYs5Xl9FWviyOVySKRSeDhAzjKOgG4dqwdsaig/KzprjYOw3QAY4NKiXBNbU1WW/SmXuy5CXNdFcWMDhq4j38EjEDKCvuehWqmgWqkwsqZtI53JbCmhiPMinKdimybGx8dfiqzRS+0w53ftQpKnbGRZjoTEHceB02hA03WmAgLWkNzg46AAniLsQqwRM90Gwfd9NGs1ZtyyDJmQiJE36IvL5XJIJpN48OBB29/73uBdItLoPOjWOZJPg0HTVjohCDqDjExEr+l0GslEInJ41Wp1YMCwuroKAiAfS+eIwb9RDZlSOI7DUrX8mFKZDDQeocavGpEkOHxg7Xg+P5qh+RLh6MGDbQ9DkQWolEqsnmlZkZRag7d3UR7civsgDvG3YTShHd6yAJ4u1TQNFpfHG4RDhw7h1jfftPEIBj5BupHUREvJ8wh+t4ntBMCiLJXmbTqe77MFSo+5vQL1eh21SgUWFzsQoDxdLs7b9/2IIBQEAUzbRiIWBItrK4RjavU6xvkz9UXjpX6aHJybY32JPBWZy+fhB0H0pWi8htlsNLZEPSK1Eb9tRY/jsJGKxMkslWIR1Wo1kuEScnm9jO3woUO4efPmtog6vSJSUQR/HhD10F7ovC5uqwXCaw/doCgKbG4cBldOqtVqUfP5MAiCAGurq1BlGeOTk+xvItDp2IZ48InaiWVZSCSTbU5R1DTrXDT6ZTCyEYC5nTth8X48SZIirkGtVmPDC7hOc7PZhMsdZRxKF6b4MPMs49B0Ha7joFAooNVqQVFV2IkEC4T5LNZOjI2NwbLtba0ue0EErM+ywmyz3m0G0f0CYEIIqzGm00gkEiyj5jiolEoIPG/oEk+5XGY60plMtJgJwhDdztj3/agmLfN+Tk3X2wNgwqazyIQgnUoNFeB8m3g5EsNdsHfXLti8hUOQRyzDYJMJFAUUQK1eZzMhe2wjYnyJhy+lwDYMzDAMNtGc1zo8z4vqLpqqRhM8PN+PBreOjY3BtCwsLCwMtxNCoKkqZFVl0+N1HZqmQVIUyJLE6g6SBBoETO5LEAm4M7/0+utsMkrIRvcIcpAYyyVm71UrFdQbDTRqNTiu21VppJv5Oa7LUmd8oojCz1tV1SgCdBwnGlUmrvsw0yMEPM9DoVBAPp/H2MQEVldWtggaxBGGIeq1Glr8gZfKZNBoNCLFIMGGJJKEVCqFWq32zKnxEZ4Nh/ftizJFEv9eQkqZUAEn9DQajf7D2bnTFKuV7ThLhZP4PK5zGvg+nGYzmhdrWBYMsIe4z9O1IaU4dOgQvrl5c+igVZJl9nzg4gu6rjOJPkmCqqrQdB2h77NFQGwqkMimvH7hQmS7YpZl3J4VRYEfBCiXSmg0m6z8FLO9ODpX326rBV3XmSxorRYFLkKlB/z8G7GuAwAD9Ws7UVhfx+TUFFvg+D68VgsGn+bU7TjFvFE7mWRj1TSNPdtjjOZms4l0MolKtYryC5xq8lI6TEmScGTfPkZ04ewug9c1qlz2znGcgaLiYhKBz52JtI3oROepV48r6gsIrUTBqFVVNXKeoBRHeN+liMgEeSHJe5J0w4gMSTcMGLoOz/dR5xRshwvJR2PBwhCe48DhdRxhQEEQIJfP4+79+1GrSsTO40YoSxJkVYVhmrAtK3o46FwkXTg6x3GY0hEXYhYtHgHfj6qqyOXzEcFKKPh4rVZ3x0tpRJ8fdqXZbDRQ5jXKZDqNgD9UeoGApeHLxSLsRAKmaUJTVdR4Gp3wVoV0IoFqMonSSGv2heHg/DwsIcwPwLYsJBMJBEHA2kAaDXi+P5QilRjo3EugvxsIITB0HZS3ncQhHtbCoamaxkhopolMOg3NMLDIJfAIIbBsG8lkErZltdmy+C3Lcpsjc7jzEWxXz/NQ54F+GIbR0Hbf93Ehn8fDhw8j+43bscRXhrphIKEoyGWzMAwDqqpC588QYceu48DhbXTVahWVapUNWOCBhm3b0DUtcki+76PZbPYcHiECHcHyHQarq6uYnppCNp/H+uoqABZM9NPerZbL0HnfZiqdZm0pfCCDKNNkUqmoDfBF4KV0mHt37YKuqhH7M5VKwbasaCqIw9lygwwsWvFQCsLVcoap40mcpRfwFVuv6M3zvKhmmkwmMTMzA9O2kRsbw86dOyMh+FqthmqlglK5jBofzOpycXiHK4x0bcwnBKl0OjKEblheWup7LoqiIJFMosZVUEQ9VIz0MbjT1g0DuqZhZmYmut4uJ2M4jQaarRbW19dRWF8fSrNVyIuF8aHUA1AqFiHJMlsV8lFpg/YRUopqtQqdk41S6TSqYtIEj2jTfJX5oozsh46Dc3MRo1s3DCSSSZZ+5b2UQRgOlZEghM1iVRSlTepuEAzextApuB6H0KR1XTeSe9t/4AAajQbOnT/PMly2DddxUOOrnFq9jkKhENmxUKkJgqDrsZl8ilK3GbHCeS0O0KdNxERbAESBpRYLwIUjTySTmJ2dRTKZhMSHIjTqdXi+j0qlgpXlZZTL5YGrZ5FG3w7CIMDS8jImp6bYvGLeG9svzyOCeM/zYNk2GxXG9WsJIXAchy0+arW+IwO/TbyUDnPXzExEp06n06zvx/NAPA8tLhowVMqP9zER0VfERYAHOU2D92g5vIG/EwqP8HL5PPL5PLLZLFsR8raGYqGAJ80mms0mi5wFmSW2OhSrRTHnsRvEivhpJxt0g1AoAQDf89DkDwq5Xmd/5wZLw5BF21zMIZvLYd/+/Thx4gQC30exWEShUEChUECJkzbiiK477x3tByEgQcDaTaZnZpDJZrG+tjbwfER6zuVp5mQyiWQ6jToPEFzHganrSKVS2NjY2ObVGuFZMT0xAZWXFxRFQT6Xgy8EBrha1tAPY96nKEkSZB4MhQOCYJlPLPFaLUYS62JriUQC+XweuVwOY2NjMAwDTceBpml4/OgRY803m3B4ewY7FBqlSYWAgMho9Ur/S31EyIeGKC1F/yQRz6Hlusymm01IXDZSHKsg5pmmiXQqhfGxMeyYnYVlWahUKpEtb2xsbCH3iO9IpMQHhSlx0YZKuYx0JgMiywNnEAObIi01Pk/TMAzIkoR6vc7S1kEQzfocth/+eeKlc5iWYSDHGVYp3rQuen5UnnoYtj4WMfJifxP6oxTdqehCsMB1XbaCpRSWaUbOMZfLIZFIoFwqYb1QwN27d1EoFCBJEt58801cef/9rV8kIZHjFanT+Jw4n0ekVAgSAFFQoKpqW/op0lbl/xaTGSKGWYxpRiQJqqax9gquEiJEHyLDBxByMQbf8+Dz9FDng8UwDBYdl8swDCO6FidOnEAimUS5WERhYwMbGxsoFAoRM45yA+i1GhCpKvEqDUMU1tawY9cuZLLZrtF4J2T+wPB5BiKZTiORTDLx7WYToDSqKw0jgTbC88PO6elI2WqMtxuUNjYwNjYWyUUOu3YJOpyr6P0NgqCn0zUMA5QHVBpPC+fzeeRzOeTGxpDLZuH7fnTf3r17F5VKBceOH4fbbOJGl1FTMhcBIdyJiLo+sDkuSwTroVDnCUMYug6fC66A0mhaSFxNTDwnInECbNqy4HJI2OzFjn8WQDShxXMcxq3gcynbwLN2YkWdzWaRy+Wwc+dOnDx5Ep7noVgsYn19nQWZlEZBSacmbBzxwFfYe7VSYXOF02mUCoWorNML0XMAQJ1zD0zLQlKSUK3VmCgKL3O9iAD4pXOYYnVpWxYSqRRarouNYhETY2PRgOFh0U3LEUD7jdbRzyeU9cdyOczs2IFsJgNZkrC+sYGNQgGPFhZQLJW2MPYOHz6MR48edY96uMiC39FLFo0VA9oUfoR4u6brTJCcp1K7IRFTyukG0RRNKYXn+2yiOjeizlRwv+jXbbWg8VRPo9FAo9HAo0ePADAZwmw2i3w+j/m9e3H27NloZuDCw4coFApbIlNKKVtZd2EHu67LlIC4qshQ/a9kU/e3UiqxqfO2DUoI6+GUZSSTSRSGmBgzwvPDzMREtLKUZBnr6+sAmPNrtVpDT9IJ0T3AJWBBo3BOcccpGvUVWcaB/fsxOT2NRCKBarWKjUIBCw8f4rNr17ZI42mqih2zs/jlL3/Z9VgCPp6urc1EEN244IDExQcIIZA5A9cwzZ5lAdFPmujH6qYUiixH3ALP9xnpkI/ji9svRZ/MFC8naboOx3Gwvr4efS+EkLYV9759+5BIJKLB8cvLy0xMpOO7ECvsbt9mYX0d6UwGubGxoVaZRLQEggnQhEHAyH3JJMrlMoIwfGEB8EvpMG3LgmXb8Fw3GoklKQo81x06Gg0pZWmbHq9HuoVgD1lD07Bz1y6Mj48jl8uhXC5jbXUVDx4+HFgnlCUJe3bvxtvvvNP/oLqkLcVPt+SCYZowuEpOXL0nflOKWoYQnQc2V59CSlAMfxV6rCF3VNsB5Ss4VdNA+IQXAc/zsLq6itXVVeRyObz++uuQ+GDoEydOwODEiaWlJaysrDBD79FGI1AqlWDbNvJjY1h8/HhgnUWkZgUTr1qpwE4kYBkGaBDArdehaRp0XW8bLD7CtwchHpHkI91KXPJQyOENm54UwW2/+0WSJEhAFJjlx8awY8cO5MfGoCoKlpaWsLCwgOWlJdQGPLR3796N5eXlvn2HpLMnlDL5yoBP29nyfm67rutGA5Pj9izKMp32HLdl8POjXFxFoFvNdFDftqjVaprWdp6UcwKq1SoWFhZw+vRpKIqCUqmEiclJHDt2DOVKBU8eP8bS0hJrt+N21+v78bmAiW6aSGcyQ2WNIqY7IWi1WggrFdi8TaxULoNSilQqFTn67wovlcO0LQtTExMwLQugFOVKJepPFKuHYSBSfIPebdk2ZqanMT09jUQqhbW1NSwtL+Pq1atRCkfl0WG/G3DHjh0olUqbN/s20E+aS6Qa+5330xBZ4s5lO3AdJ5r60s3p7NixAydOnMC1a9dw5swZ3Pj6a9z4+mtYto3p6Wns3r0bJ0+dwtrqKpaWl7G0tNRTuhCUolQsQrcs5MfGsMaZdn3Pi5OMxHnVazWYtg0rkYDreahyge+Rw/xusGd2NppYUePzKQGWkaC89jcMRL9lPwcrSRLGJyYwPTWFiakpuI6D1UIBVz/5JCKIJJLJgaIBhBDsmZ/Hxx9+OPB9XdFDgCSaUsJ5DJ2IM1YHYohgV7Sp9ILIMIlVZic0TcOFCxfgeR4eP3mCWrWKO3fuRNd5cnISb/zoR/BaLSwuLWFxaQmlXilSyqYgEUlCJpNBs9EYuDLslPf0fR/Vchl2KoVkMol6s8mmsPB2t+8KL5XDPDg/D9M0oSgKE0znF1VRVYTA0FJWYv5lN0iShJmZGezZswepVAqLS0u4dfs26vV6NJBY1DfjqiT9HObc3Bxu3LixjTONHWsfx/Wdq4J0EAo6IYhNWpdV2oEDB7B37168++67rOUkNj2mwqntN/mKd2pqCtMzMzh+7BhWVlZw/8GDrQQfnjpulUpIcjm8QTMIhWhBHLVqFSlZRiadRr3RgMFF4Z+HctIIvSHLMvbOzUFVlEgLNl53Hzr4jdlHt5RfIpHAnj17sGvXLtRqNSwuLuLelStMnUawy0WNv4czi2OaO9tBLMyemas+tizO53mj3yCFfnBdF5ZpbkltWpaFN954AysrK/jyyy9x6tSpyCn5QYAnT55gcXGRtbZls5iemcGZ06chSRLu37+PhYWFrbVKQlAsFBgXZHw8GijfD9EsY/5vj0slCiWhSq0G0zSjEY3fBV4ah2kYBo4dPgyJ68GKZlwSI8x4Q0QSvRqabduODKtSreLe/ftYWlxESGmUmnAdJ/psfM5dPxMby+WgqiqWV1a2f9IDIMnys0dPMVbfQAzxHjG5QFXVSMjhxIkTyOZyeOutt9BsNpFIJFiPJl/tRVJXkgS31cLCwgIWFhZYrWjXLhw/fhySJOHBgwd4+PDh5qqTUpTLZSbWnM+3jXHrBSmWyhETIKqcqTc5Po7VjQ3GghxSRH+Ep8P5kydZ7yNYv6zL7xXRFtIYILMG8Id+nNDG/y5JEqanp7Fnbg5prvH61uXLUZrS5nq1Ph8BCCASAhhU0pmbm8Pdu3cHHlu3Z0I/G4ueK8/oMLtlzp42APQ9D5S3ugiHKUoqN2/ejMYSytxuI3smmwLpG8UiNopFfPXVV8jl85ibm8Nf+2t/DSsrK3hw//5mypTb4kahgPz4OLL5PIoD+ARxRrIQSXEdB7IssxGPfFD4D85hEkJw8fRpaIoS0bQ9z4to5BpnlAYDVpidjfISIZiamcGe3buRyWTwcGEBb7/zTjQGSkDlTbzxhzEhbKacSA2ING9nNDc/P487d+8OlybpdmP3iXgJIc/cUtJTBekpt+e1WjB5kzYAnD9/HpRSvPP222i5bkS8aHle18hXpJkBoOV5uHf3Lu7dvYtcPo/5uTn87Gc/w/LyMh4/fhw5tfX1dUzPzCA/NoaV5eUBJ8zHOPFaD8Ci+mqlgmQqhWwmA8dxRg7zW0SGz6+lIZNEc3nTPMDFRIYMBOPSdxSshLJnzx7s5kHvgwcPsPjkSVtZQzwrWh0OWQgAUHFfkK0SmalUCslUCotDrH66oZNEGMe3OUQhXu/bLlquGwkuTE5O4tSpU/j000+xuLQUaXEL4fTO7Xf+e6NQwEahgC81Dbt27cKJkydBANy/fx+lchmEEDSaTRj1OlKpVCSs3wvieRvQdi3tRr0OWZaRy2bh+X4UvH8XeCkcZjabxdyOHfA8j5Ey+EWMUqIDNFAFxMNakiTM7dmDvfv2ocoN64MPPuia3hR08G5fnEjNypIEyo8hIswQAss0MT4xgauffvpU592P+BKPrp4HOrfS7ZoOq+TRarWQSCZx/sIFbBQKuHbtWiQUAEL63sC9jFoYm8aN7eixY6CU4qsvv8Ti0hLKxSLTp7SsaMBw9xOlURQcPzvf99FsNJDMZJBIJFAqlb6V9NgPHYQQnD16NJKjDIIALc+DRAj8IIiyRYNWWnHGazqdxqFDh5DJZLCwsIB33nkH1R7peY23bvRyyIQz08U+4oHw/Pw87t+799T3RT/7kSRp20S7buhZm+xMNw+5LyGXd/DgQezeswfvvPMONorFTTslBAqfA9wNkrRV67rVauHOnTu4c+cOxsbGMDc3h8OvvYbHT57gq+vXsVEosClQ+fzQqdnOAfK1ahVp7jTL5fIPx2FKkoTDe/cyRidX12nxk6eUMp3FIVIOIadc79y1C4cOHkS5UsF7V670ZWQRMIfp8wJ4J6J9xnoc5Zgj2717Nx4uLESrqe3Gd31TOMKon0MKp+vfu0Slwxx/yPthz5w9i3t37+Krr78WG4zeoyhK3/R5NyMTEMb2+PFjzOzYgYOHDuHAwYP4+uuvEQYB0rlcX4dJOh8asX87jgOz1UImk8H6+np/xzvCUyGZTGLXzEzU0lWPBb8ErOcyzv7sh0QigUOHD2N8bAy3vvkGV65c6UuS0zUNFFtXlwJhR4AqWq6ATW7DX/3lX25LAm5YSNJW8finQq9VZCdLdsjNUUqxd98+ZDIZ/PrXv+7aMqL2IdYMWtWKlpWJiQnMzMzgd3/3d1lm4PFj2KlU1Gff8/gQy8zF9kUpRaPRQJrPHa5UKkOe8bPhhTvMRCKBndPTkdRd3MBkiU1Il9CfTUoIwY7ZWRw5cgSNRgMff/wxChsb8AdQ0UXPZa+0gPiSuvZ/EYJdu3bho48/jqLHEIgG4HZzoJ3RYT/DjEgCzxqVbmOl2u14okZsjqmpKZw9exY3v/kGyz3SoyoX0+59SIMfR5IkobC2hrt37mB2ZgbHjh9HEARYXV1FtVzuyUgWaXkRDHSeda1WQyabRTabHTnM5wxZljG/ezcoEAW/IvKnXI80BKJ6VC8YponDhw9jcnIS9+7cwbVPP4XP61W9yHwEgML32ZNN24cMuGPHDmwUClHwKwQHhC0P087W775+XkSzbvf0oH3HET8vVVFw7vx5KIqCa9eu9bxuwwTA/RSARGvI119/jRs3b+LQoUO4+MYbWFtbAw1DLAxo8xHzNDtlNluuy4LodBorKyvfSU/mC3WYsixjz86dsE0zoo3HDUySZcgAaJ/V2/TMDA4dPAg/CHDt2jWsxdiW/W4hAnYjiJppV/AbvNvNmM1mQSndZNMJoxIC7zyKFtF011RKH9ae/JxqHsOmdoXGbBg7XvF5sY25uTkcPnwYV65cQa1aZVNMujhHRVEGpkgGGpmoQ1KKx0+e4MniInbt3Iljx49jYnISn8baBTrPN+CGFTnO2OtCYDqbzWJ5eXk0xeQ5IplM4uDcHHzfh6aq7atLnq6P7KDL/WgYBg4cPIiZ2Vncv38ff/VXf9V+H/VxChoXKehXE6M8+O6G2dnZthFeEiGbtoxNO470qTs+P8hOZV7Xfx7oZsvi+RnZO2/8j+qqseCfSGwK0qWLF1Eql/HhBx8gkUxCU9WuLVeqpg0MgCMWcrfXuTRpSClazSauXbuG27du4ejRozh95gzS6TRufP11z0EO8SHhnXsol8vIjY0hm81i5VsgXnbihTrMZDKJI3v3shE/htHWjDsoVWiaJk6eOgXdMHD9+vVtXyxhYM4g8gftLvK+c+fOSOmmK/jDIX4eNAyjBuVIBzP2IEEsMIjf+M8FlLY9qCiPNMXWxc3YdWVMCF577TXMzMzg7bffjkhTpmlC7+IwDcMYLIE1yMg6InJKKR4uLGBtbQ2HX3sNFy9dwhNeE4kbmnD4AhLaAxVCKSrlMrJjY8jlcm0B1ghPD0VRML9rF2xdj+TqhLMLeWlFvK/bQPTde/bgyJEjePjwIX71y19uq1eWgKUNvW4ycDH0ChoNXUcml8OVDz7ovY+Yjca3J4gxcYcZvS9uSzx4e2YIm6Ht0noAa/mQSHv/YrSijv0tlUrh0qVLuH//Pr755hsALJBUVZWxzGPXSUxCGhgAd3yu87V4sAGw0YwffPgh5ubnsXvXLrz5O7+DT69e3SJE0HZdOWkrDq/VAsIQ4+Pj33+Hmc9mYRoGk3uKGxhfXQpIsgwvZgi79uzBa0eO4O7du7h540ZvZhq65/Ilno7wPG+gQ6LAljQOIQTTs7N4+623hjnN+Afb2IK95j2KtGIQBMwgxfmJKJF/vrP1pdu5CqMW74nXY+NG3Cs9LEkSzp49C9M08dZvftMWJQuGWidM08TKMEIDIiru9hoh8LsYYKPZxOOFBayvryOXzW4xtM6H0hYjIwSu60IhBLZtjxzmc4Ku69gxNRVxCeJ1qbj1iO9afLMi8NU0De+88w5K5fLQcnnRvmPTSPpBENM674kdO3diifcVbgt8W2L11K8HU9iqIA12BoRidm2UdhSvSVJU5gFYAB2tuMQx8G3IMWcZ9ghGJ8bHce78eXzxxRdtAX+r1YrG/8WFDExOshuUoeqbju7TUrP4+DH8IICmKDh79iwWl5bw9VdftU1WGpRubnBBEsMw+qozPQ9sb2bLc4SqqpiZmIjqCvGIsvMCSeAEHcPAxYsXMT83h3fffRc3b97sW9zudaGj2uUwUWwsOhaYmJhAo1YbKLG15Xjim+3jqIWeLMBuNkFOkPj/kzhZgf+/+FvnT7+bTUR+vaBpGn78W78FUIp33nlnS0pJzBHUOpymYZpD6b8S9EmbE8IeFF2wUSwipBQPHj7EF59/jrNnz+L4iRN9U3adaLVaSCaTT0XFH2ErdF1HNpViK0iubwpsTq0RIFxjNQxD7Nq9Gz/97d9GoVDA5bfeQrFU2razlAiBrCisp3BQ8Mtf77TnmdlZPO6XLeqBTnm8nscYIy5GOrPCnmM/iNl49Hf++fjnejJg49e5y8u7d+/G2XPn8OGHH27JjglFMdE1IGCa5tAtWDLX6O5EP9EGt9WC02jAbbXw68uXoakqfvvNN5HP57u2ykid7H5K4XDVH9u2hzrOZ8ELc5i6rmMsm40cQzx9s6UwTwgmJyfxu2++ifX1dbz1m9+gzGceDiq0b/kbOCmFCxcPQrfxQTtmZ/unY3sfUPS/AyO2LumHp8EgskF0RB3vSSQS+OlPf4r1tTV8/MknXW92kQrVeE+mgGmaQxNqek2eEQIE3eB5Hpq1Glshrq/jl7/6FWRZxu/8zu9gLJ/fuq0u+3BiKicjPDsmxsYgyzJUPkpLYIsNEgJd13Hu3DnMzc+zwPebb9gkkqcIXlR+7w2zsgj5PuL2LKT7nirTEE999gtMn5dowYDr0xaQd9jzkcOHcfDgQbz99ts99VdbXOhBiWW+rG3YclsKOgbxvfZK2RY3NiARgmQigY8/+QRffPEFzpw9i2PHj3d9PrRdB0Lg+z5knjH6tvFCHWaGR6T9pnHIhDDjmpvD0tIS1guFSMFlmGHQndvVuEjBsIyqsEMdRJZlTE5P4/FTNjdHGHDzC1mofj8AZ7HGCDsh0EY2ogNWkd2Qz+fxW7/1W7h16xa++uqrvg7X8zwoXG+XnRbrTx1GyYV/oPuf0Z8hXCqVQAhBNpeD47r46OOP8fkXX+DchQs4eOBA1+1F4NkF7TuKSr/v0DQNk2NjLMgB0IrJInba6NTkJI4ePQpD13H/3j00BTFoiNRbt9cjLdFhWOA8tRkPoHbs3InHjx8/Ext9oCPkq8Kwnz2HYfQeUYePiHgYrk2kW2AoSRLOnTuHiclJXL58eYtoSxxeqwVCCBs/xmFa1pZpLk9zDP2O3w8C1Go1JGwbqqri8ZMn+Ktf/hK6ruOnb74J27Lat9fBbxGTmFLfQcbohdUwJ8fHofDZkB5PjXbWLjVFwYXXX2fq+EtL0BQFp06dgmEYWFpcxOr6OlaWl/s7vw4mqqyq/ZmxHQhF3ZCv+KZnZqIp60+DMAiALmkFUaeMk36G7dvqlA7jf4z+Jpzqls9h0xDF60JA/eOPP8bqEHXIVqsFW0gLctWQludtS6Gosy9zmIjc55JYdiLBtDBdF8tLS/jNxgYuvfEGTMvC5198sVm/ja+0CWHKJWC6maPB0s8GXdcxzrNFYRgi6NGCsGPHDrz22mt48OAB6rUapqancfz4cZT4ZKDl5WUUS6Whm+41VWUPy23YIu3IGO2YncVHH3889OfjiE8Q2dzBVluOVlgDbCJiEwt02jUPfuMzZKM2HaCtlkopha5peP311+G2Wnj77bcHko5EDVXjk4YAli3ajn1E5MH4H4cQnikVi0wjNpOBs7wMr9XCxx9/jPn5efz4Jz/BB1euoCR66jvS0gSA22xGGaNvc7jCC3GYkiQhl05Hy+2oNha7WSzTxMWLF7GyuorHjx9DUVUsLy3hq6++gqHrGJ+awvTUFE6cOIFatYrl5WUsr6ywixr/cmLGofDBr9syMH6TizaIHTt2YGFhof9nxP5jDLbozHjPZqdzI23/jJF8nhGi5tEr8orYbYTgwP792DM3F5EvOhm73SDm4AlKujVk/XLLMcaPiUekg6L+4sZGJMQsppk0m028/fbbOH/+PC5cuIBPPvqIqYR0GJloWbE4W3qEp4ckScimUpBlOUrfdc6mPLB/P+bm5/Hee+/BtG0Ui0U2/YIQZLJZTE1N4fSZMzA0DSvcea6urrYFw53ENkXTQCndFllHjP0DmG5qGIaDhdZ7OBrhmNpWx13SkmTACmtYdHtGSB2vib/bto03Ll3C4vIyrn/5ZRthsF92q+W6MPgADN/3YZkmHm/TnjuHTMuSNDBYCMMQlXIZiXS6bQLJ3bt30XQcvPHGG/jk448jMmFUsuH7ankerGSyJ5HyeeGFOExKKdLJJFRdjx6u8egqnUrh9YsXcef2bdy5exepZLKtTtZwHCw8fIiHDx6AABgfH8fk1BTOnjkDXdOwvLKCleVlrKyuwufTCoDNdOx2BM3FQ1uSJCi6jlw2iw87Rv/0JfB0+fcgRyAeNM+Dhi5SFj1flySQMMTpkyeRSafx9uXLaMa0P4HNvjkKTnQg7ZR5L0ZJt7aZwomOI2ZkMpdP67VSgWAHE4JmvQ7btlEQfZtgaeIrV67g1KlT+NGPf4wr778Pl6eb2piJvg/DNLd9rCO0I2FZ0HQdYRBEDi7er3j8+HHkczlcvnwZzWYTlm1HwXJAKdbX11HY2MCX16/DMk1MTU9jx44dOHX6NKrl8mYwXCxGbVmyLIMA225Wj5dyurWGxcsdzyu5168evx0M21Ody+Vw/tw53Lx5E3fv34/sFWjvgY0H82LbLc+DaVnQNQ2+77MB7tu0Z0mSmFB77N/9elAF87darSKZSiGZTrcJsy8+eQLXcfD6xYv46vp11i9LyGZ/PiEIfB+yJEXSi98WXlhKNp/NQiJk08B4OnZibAxnzp3DF59/HtUJReuBrCjsISqiJf4lr6ysYHV1Fdf5A3tychI7d+3CqTNnUCwWsby0xKJV39/W6lIcl2CgTs/MYJmnC54Wnf1I3dCPVbZdDCL9qIqCM2fPIggCXH777S2ajbENtUensTqLmB2qaVpEQ98uJEli3y0hTBGG0q6BRVv/KoBypQIrkUAylWIyiLFrd/XqVRw+cgQ/+elP8d5776Fer7cJZAdhCKODsDTC9pHmTe91z4PPa/4SFzs/e+4cFEXB5XfeiQLVMAxBYtKPIkCUJAlNx8G9e/fw4P59yJKE/NgYJqemcO7cOSiqisXFRawsL6PCBxdv1xZpGLKAjLDBDJd/85stAe+wjjKeCu37PkKeG4EP6P/82DEzg+MnT+Ljjz/uPUGpSwkn3qritVqsjtloMJbsU9izyGxFg717PFdCnqESbXSu4yCRSGyZZFIoFPD25cus3GKauHnz5iZjmLLh3bIkfeskvhfmMNPJJKs/xNKx6VSK0Z4/+qiNyRXwh5xooO0kEkiyHEUpjUYD9+/fx31ucLl8HhMTEzh37hwgSVhdWcHy8jLWVleHWmlSSqP9T4yPPx07NgYiVmr93jNkJDkUJAlhj/M0TROXLl3C6uoqPr12bXvEhxjJR5CNFEWByYcFd9aOh9okr3XIQgarAyKNGl/9+p4Hz3WRTCZRLpU2V8AcN77+Gq7r4tKlS3jr8mW4zWZ0bGKArsz7gEd4OuQyGciSFDkvkY49efIkKKV4/7332u4tIZMHYAszVny3AaVAGGJ1dRWrq6v4EkDCtjE2Po7du3cjnc2iWq1ieWkJy8vLqA6pJer7PogsI5VMwnWcviSYQSCEtPVI9nzfECnJIXcIoDcBaN++fdi3bx/eefddbAxIM2/d9OY5eL4PQ1VhmibLGvSYPNQPMl9lyrIMCmwJxCOiU0cKu1KpYHxyEolEYsvYrmq1istvvYUf//jHcF2XCeVzWxakR/Nbzhi9EIeZSaWgqSqajhMpZei6jvMXLuCLL7/cQnsOYnXEXmw6IvRc+epDkGbWVlexsrKCew8eQFUUZDMZzM3N4cyZMyiVSizds7zcpk0aX92IlKaqqsjn87h69eqznfwQN97zTsl2QzqdxqVLl3Dnzh3cvHlzc9rIU8L3PKiaxsYjLS21pX4G1U2iY+UPli0pnFgKttt3X63VkMvlYFoW6vX6lnO+d/cukokEzp09i/ffey9K64VhGBHPRg7z6TGeywHgLEsePO3btw+pVIqRTToCsUDoynZp2QLYw1sWacxYLbRWr6NUqeDx4iJ0XYep65icnMTFixchERKlbtdWV6PvU7DFo6kkXCpxembmuSjDDBNkSpLUV1puWPQKpAkhOHHiBPL5PN66fBmVZ5wP6fk+TELYJJBqdZNMxHa2rRW4xB1m3L66Bb4CjuMg8H0kk0lU+L47X7/y/vv4rZ/+FNVKhRET+bHRMITxfVxhTuRybGUiVj6ShPPnz2PxyZOuK7jA96O06KC+S8INMQxDVichbDwNpRSlUgkbhQLu3r0LWZYxPj6OqakpvHHpEiiApeVlLC8tMYcd/4KDAGMTE6hUq8/MwBrmZnueK8xuNczJyUmcOXsWn332GZv99xyo2J7nQVXVaHJAfIsidUvQ33kSoD2FI1b36E88qtdqyGYySKZSqNdqXbf/xZdf4o1Ll3D02DF88fnnEfMZwHc6T+/7iEw6HbU/EEIwNTGBffv24fJbb3VN8YdBAElRBmZaosAxNriYEKbS1Wq1UC4W2QCAzz9HIpnE1OQk9u3di7Nnz2KjUMDi8jJWlpdRr9fbmKqC9/C1mLTzDBhmDuUgHsG2EduWIss4d+ECJEJw+fJlljV7xuBXsGUz6TQq5TKAWP+hKMWIv/XZj8Rl9eKtM4LFO8ieU5kMdFXtWvus1ev45JNPcO7CBfzm179GvdGI9vO9JP3kstmovQIAjh09ijAIcP2rr7q+P1rtCaWLAYgbGgiBrqoIg6AtLRIEAZaWlvBkcREA01ecmpzEgf37cf78eRQKBazw9K3XaiH/HMV9B53BFjWLZ9pZOzt0bn4ehw4dwpUrV1DkdPHn0bvk+z50TQMhZIs+b+QoOSJSRZf9qvxB2vK8bQ3FrdXrSKRSkShFJ2gY4sOPPsJvv/kmiqUSHj9+zNJGngdN00aTS54SiqLA0DQEYQhVUaCpKs6eOYOPPvqoJ/krCAIo/F4ZBhJ/GAZhGLWSdI7wqlWruFWp4Jtbt6AoCiYnJjDJ7TkMQywvL2NlZQXr6+tQVRXJRKJnA//zRPQsel6Md2zaj2EYuHjpEkrFIj777LO2tqlnhef7SKbTXeugcXtuI0h1Sa8rfFh4EAt6BqFSqSCZTiOZTqPQ4ztaXVnB7Vu3cPHiRfzmrbegqmo0Uu7bxAtxmGO5XKS0s2fPHkxOTODy22/3/QzlUel2IMkyW2XSdhm8sCN1C7D8eLVaxe07d6AoCiYmJjA5MYED+/cj4Psu3bixSTx6SgyTZCWS1L1vMsZOjWjl/GECgEV/XdI1YnX32tGjmJ6exuXLl9u0Pp9Xs69lWUPJBfYzNllRNgcAb+O4qpUKUskkkqlUFAh0wmu18MGVK3jjjTfgui6CIIDP+9VGeDqMZ7MAWBZINwycOX0aX9+4gfUO0kYcAU+1KooydCqccA6DmF8bZ2FGQiaiFBMEWFxawuLSEgAglUxiamoKBw4cwPnz59FoNtHkhJb6M9QwgcGkn146qt1sOf7+iMkas+e4M0imUrh08SLuP3iAW1xAPTqmp+APdMJrtWAnEmjcu9f3ff0CYUHm8bZZA6WUwmk0YCeTKG5s9CxN3b59G6lUCmfOnMGt27fh+z7U7yNLNptOw221oKgqDh05gnffeWdgSszzPGhPcTFUHskGvs+cNBglvZsihYDv+1hcXMQiX31OTk7i1JkzmJmZweFDh7C+vh61rtS3qScreiI79SRBNnUk7URi8z0DNpdKpXruB2DSX6qq4syZM1BVFR98+CG7sXiLTRiGoDz6e9YY2DAMNOr1zdl1AxA5Tmw+RI0hzrkbgiBA03GQ6OMwAaBSLuP69es4duwYrl27xvQzuwjIjzAc8txhtjwP8/PzKJbLePDgQd/PeK0WqG1DUdVt1Y4JmO26PPsggl5pQOapUq2iUq3i1u3bUBUFFy9dQgjgpz/5CVqehxVe+1xfX982OSduw93sWlEU2InEQJsQpYd0Or31RZ4G1XUdCi97HH3tNdy4eROLT54wbWx+PSLhgm2dxVaEYYhkIrEtMfMogAlDBM/ID6hUKpiwLEbm42nhbrj22Wd48803MZbPo1AsghACrUcq93ngO3eYgknp+z7m5+extrY2VJG65XlPxYCSZRluq8WYezy/LYhGw6Z4bdvG6uoqvvj8c3ieh8mJCUxNTeHwoUNwW63I4AqFQptRiKhYVpSIZg/0Ts9EDiwM4YchWq67dSQX/7eI5oTDjkvTiahVTFI4duwYmo0Grn32GWRJgtUhNUUpZdeIq7QEYRgN4t1Oajhh26g1GtBUFc6wSkr8u4jE5J+BgFOpVDA+MQE7kei7cni8sICDBw8inU6jVCo9VSA2AkMmk4n+f2ZmBm8NMcGn6TjIcdH+QRNG4lBVFQFlYtvCtmiXbFE/eL4Py7bxwYcforC+jmQigampKRw5fBjJZBJrXD1seWVlSzuFLMtR1koE3WbYfaarUOQBWDDXcl1Wz42zhWN2LMoI9Xp905bRbteyLGNyagq7du7EF198gUql0rWP2PM8+Nx+xU8YBEMrhwFMOGa7mTTRBw0wSVNZURBS+lQZuVarhcDzkBjgMMMgwK1bt3DgwAGsXrkCIstQv08OU9O0KPKamZnBRx9+2HeWGoCo/cSybSaDNmTvlUQIaBAwclEsTSEciShuD3KcE5OTWHzyhI0Zq9fx+PFjPH78GIQQZDIZTE5N4bUjR5BMJlHY2EChUMBGsdjW8xnyfYlUoEgL09hvAdE+M0zDcL8+tGQqhaNHj+LRo0e4fv169HfhTONC1JQHFJphtPdncScuVui+7/f8rpKpFJZXVqBoGtBvkC82HyadDwVFltHiznvYh6CA02iAhiFs2+7rMFVNw7179zA/P49PP/30uaWkf4gwuNrOnj17sDjsiCx+z6vbSIVT3rvZuUqL7hG6OequX/Yol83CaTbRchxIhKBUKqFUKuHmzZvQdZ2VYqam8Nprr8FxHKwXCtjY2EClUmlr+A/DEJ7vo+W6W2055ph03udb5/dmL4jr1sueCYADBw5gemYGl996q60dhsQmnkQ9n/wZ29mXGHeiwp67IZ3JoFwuM5uMKe90Pfa4Lcf+LtKjQez5NqytUTD2eyaTGbj/crmMIAwxNj6OjWLxuQlOdMN37zD5RZyfn8e9+/fhtFowBiji0zCE67oQwsCDHCblZB/FMEAJ6XmxBas2MrYuq05ZlpHP5fAZX53F/66oKlqtFhYXF7G8tARFVZHL5ZDL57F/3z44joPllRUsLy2hsLHBBkgPEemRAQHEMBjL53H+9ddx//593L51q+01SikLJPi/gzBsYzOKkUmSJLG0CnekosVfqCX5nscK+jzKTqVSKJVKUGQ5qp3G9xlv1el2Uys8Ner7/qaebIzOPhCEwHUcGAPk7kzLwsrKCiYnJzE1NTV0D98IW6GqKjRVxeyOHbj81ltszqws9xbAAABCooHFAxHr15MlCS3+HNiS+SCbI++iwQSUbnGeE5OTWFlebu/r5k6BSBKKpRKq1Sru3L6NZDqNfDaLffv3wzJNrK+tRW1ojuMg5DXwfhKWUT3vGVrEJFnGmdOnkUil8NFHH23pHaU8BSqueBAE8HiZBUA0gUSS5ej/445UOE7P9xHwQRjJZBIlkeLkqj9xDJqjC7BsolDgETXnYUT2+Q5YJiGbhW3bPVeZhmGAEILrX3yBk6dO4aOPPuobMD0rvnOHaZomTMPAzPQ0/v0vfgFFlqFqWt8oQkR0NAiYokiPbUc3ZYxAMlRaMWZs8UiVEIKxsTFsFIsIeConmUq11RaDMIwch+/7WOdjgogkIZfLYWpyEsdPnIBlWVhdXcWTJ0+wuLQ0OBX1DA5z586dOHb8OK59+inrdR2mVyzmpENKEfKURryJRpYkKKoKRVHaoteQUuhcS9ZxHFh86oDLo2+gt5OMQ+EpHOEw4yzZkNK+NHZxjo1mE6ZpQjeMrtfYNE0QQtBoNPDV9eu49KMf4d79+wOvzwjdoWka5ubnce/u3UjazDRNVHus8IVylsvrzf1EI0Q7CQiJdGM934dESCQm0g3xjEVc65UQgsmJCXxx/TpkWYZt21A1LQqEKRh5yXEc+L6PUqmERw8fAmAP5gkeYB09dgz1eh1Li4tY5BOUetrrM2YvVCGg7rr49JNPhi9XxPYrVpTtL5PIjhVFgWEYEGFm4PvIZrNRxkAEsoJcBWzacq+zI7wE5bZam8fCy0XDrjY9z0MQBDBNs6vDJIRAN020PA9ra2vYf/AgZmdncWcAUelZ8J07TEPXMT09jQcPHqDFL4isqjANo6eRCWfm+3536SPaLpcGbKZlRMOwUJEZiJjzlCQJk5OTKBaL0A0Duq7D9304zWbkIHttk4YhCuvrKKyvM8F4w8D45CSmp6Zw9OhRVGu1SHVoo1iMDO5ZaegHDx7Enj178M4778BxHNi2/VyEnwEWHASuGzGOhXajoiiYHB9HvdGAbdswDAN+EDD91m2ch6qqUb0jYveK70I8/GJSam3gKfdGvY58Pg/LsrY4TGFgLn8gFjY20Gg0MDkxgRsdq/ARBkOWZRg8jfnJJ58wRmSrBU3Xe/a2ipmUbquFpCRB17Qt7Sdi1FXcnlVFiUoo20G8f9M0TVi2Ddd12cpEkuC4LquX9UlPAqxhfuHhQyw8fAgiScjncsiPj+PUqVPQdZ21oK2sYHVlpY2RL/VgvA8D27Zx6Y03sPjkCb7+6isk0umB24qmKw1gyooyl/iOCM8qqdye05kMHj16BNMwAEpRr9cRtlpDpzsV3h4mth8fVt/ZHtPNcQqd2GazCbODcyEg/t7gdd+7d+/i2NGj32pryXfuMFVNQyaTwWeffx79zeGCzLqmsYgkhrgjdFstWLbdthoS00Q6L7pI9/ixLywY4saVedFYUdVIWu+bmzfRbDQQBgGargunXmc35Xbqa46Dh/fv4+H9+wjCEPl8nk1oOH06MriVlZVokO12UziEEJw8dQqZdBpvvfUW03fl9ZNhAoVhZb7iCIIAnhgirWlYXFxEs9mEbhiM6QsmieW57sCRX6Km6sQeWp3XVzz4uqV1RGpIPAgMywI62LKWbYOGYdRSI8syNgoF5LlSzQjbg6IoGB8fx8bGBjzPYwpNrVa0YunmMMW35vs+CKWsjhlzmPFV5eaHSLTt+N8GQYgcKKoKVVUxNjaGSrUK3/NQ830QSUK9Vtvs3xu2vhaGEVP+66++YvNAJycxOzODkydOMMk+ThzyPe+p0rG5fB4XLlzAza+/xn3OOpYADKLPEPSWzusHSim8Vgst14XOeSZLy8swDQPJVAqZbBZeqwXP89BqtQZq+Kqq2qbwEwmyx65xZwYgfiziX81GA3YiwUTgY2U7SZah6TqcZjPq8RQkKNOyUHpGtaNe+M4dZsK2Ydo2NjY2oovU8n3oQQBd11kxOv5gjUVKLddl8w91Paoh9HJaCm9gH9ZZ6JoGld8oAGea+T4sy8LS0hKTUeOG58ZSOMIYoqimn9HFzmV9fR3r6+u4fv06LMvCxOQkZmdncfLkSTQaDSwuLmJpaQmlcnlgelZRFFy4cAFhGOKdmIB61LYxyGAFFZ30l72Ks/o6a4v5fB6PPvsMjuOgVCxC13U0m02oqgrTsmCCOU/XcdDqopbUGZEC6EkGi2pYtPsQ8WazGaXORXpd56ueZrMZbVOWJBSLRRw6dKj/9RmhK0TJYn1tre0h3Wg2kbBt2JaFepyb0PFg9H0/Cmwj5noX+1H4w3eYewNAVC4Q2w45B0LXdaytrsJxHEiyDMs021bC0cObndzAgFiUGZrNJh48eIAHDx5AkqQoGD575gx0w0BhfR2PHz/GysrKUIpSM/w5cPWTT9rEUqKgtg/iq7i+Tw1+rhHrPmb7+bExFgQJx0hYL6UQjtA0jfW2t1rRc7gT4vkbO/iu13PQarPJtZ+tmMMkhCCRSLDgN3Z/EQAbhQJmZmaw9JxEZjrxnTvM2ZmZqBlVXBoJbFmdSCZZ83ut1tUYxIgmRVGiWkg3iHmKnSmWTrKAaIQWaV4/Vr+glGJsbAzVSqWNHq6q6uYqB9jywI47FLHPtkZebI0CG40GHty/jwf370M3DMzMzCCZTOLcuXNQNQ2VlQK89Sq0ootMaEAmEu602ErUtCy8cekS1tbW8MXnn7dtV7AHB0LUfLhDj84hDDeH4XakeOLXXpFlNmGAD3j1fR+qrrN6ULMJwqcIaLoO27ZZupSndoWxdUakENe2h4CBWIV0M7RGvY5kKhXdS6qqwrRttFotZmD8XCRZRq1eh6IoyKTTLDgZYWgQQjA+NobrX3zR9vcgCODwtKdpmhHbu1M7VqRv49J33aBye+9s2Yrf24QQRkDSdTZ/kTtJr9WKSHbZXA7f3LzJjoUTA2VFaUtLbslc0M2ZtsLhx2uknQjDEGtra1hbW8OXX36JiclJ5LJZ7Nq1C6dOn0atXEFjtQRSaCLRIEhLBqqhg7erdwAA+w8cwN75ebz37rtb63ak/+QhcbziveBBJQVP1cbrjx0r+PiZ5HI5FGLCE4IQ2ajV0ACzVVXToGvaZpnKcaJVp8gWbUduMr7a7AycvFaLpYY57GSSrSir1bbpQ5IsY219HbOzs7h67drQ+94OvnOHOTM9jeLGBtMi7CjO12s12LYNO5FgTrOLOLPnutANoy+zsTMdKyAclaqq0PmUCtGD2HJdhGGIPWoOh+xJrPs1VLNG27TxwPehcdJLr5uhlzEJaS9xDELMWAZBVrGQk23kFRs5I4V0K4GxJxrySyoUS0cpO4PiHFA+ASTqQLYInC7uw8fw8dOf/AS3b93Cnbt3tx6LtHVwLUXMqHjtN+DHEnQGIXFD6hNt5/N5lMrlaCXr+z4IEF0nGoZwHQeu40BRFOiGwUgGhgGv1YLrulsj0iFBCGkjaQGsh4uGISzbRrPZhJ1MsjRctdq2yhff/9raGvbMzeGzzz7b9v5/yEgkEtANgw1t70DLdRmhj8tStpE/OBzXhWYYMHhduSt4OrZrCpDSKDWn8UA2CAI0Gg3WhkZUXDR3wyAavnAXkUmn2+w5DMOB8xNJFxuIt4JFzgjs+WITjdmyaiMrW8gpOWRKGsbXdWTuE9TTORSzORTngFBitnywBJxc34mvwAh7Ym5o53EAW7kNkT3zv0ei80D0vBHHNmzKOZ/Pt7WhBb4POcZoFrXPZqMBTdehGwYSiUQUpAin12nPose6V2AUnWPHc6jeaETtJYZhQJFlVGu1Lc93SZJQWFvDmfPnhzrPp8F37jAnJiZQWFtDXL6JiPpiGKLRbDKnaVlMxDvmMIMgiFiY/dh1sqKwOWsdN5duGFB4u0QQhmg2GvD4atIiKv7D9GmcNndG739voo4r975s239nVDoIBARpxUROtpCmOnKKjaxkIUMM5GQLKcmETMQ5UrgqRUsFbDH1rBFisglMPWEGVkoDxSxw/RAiJl+5WgUIb5+JXddQ9FzFDafjAUAkCZIgHMUaj7eDzogUYDe93OVh5Ps+/FoNDUmCoevQdB1Jw4Blmih2GUk0NFkL7ZR113FgmCYSySSCIEClUtmyHTFGbH1tDbtmZ0cOc5uYnZ1FuVRqE54ANjMpjRgJLAjDthokpTR6EJp9HKbCp1102pskyzBMM3J4LR70itXkMX0afzN1CgmZ1fEvTBzAR41G20M84Cnhrm0qPWAQBVnFRoaYyMkmMrKFLDGYc5RtGEQVJwgAqOqA6lHoIYAASBdDZDaAPQCaBlDOAo/HgdK8CUpDRioStiyuKQ8MRPtXJBXHbTnuDEXmhWBzFb0dKLKMdIdalu/7ULp0MlBKo0BYVVXoPKNgmCbrTuhYIQ/D+RCj4eK2LNpLsvk8PJ4liso6YnXJ/USpXIaiKEgmk1vGgz0PvBCln64rCf6gD3yf6TxaFstbc0MSUUe92UQilYJpWW0jueIgkoQgZpwqTx0QSULLcdDk9UmBo/o0/mbqJJLy5rKfApDSJtxiO3M3DIItUWlCNpDnBpOTLWRlC3nZRk62kZFNKNwhBkHAawabQ7EpKCgNo52GRDxwRE1UGAQgUSBXAlwDKIDdJCsrK9i/bx/Onz+P4sZGJBhfrVYjndm2FHA8xYRYqkaQHp6C0ZfL53Hnzp22vwVdrlMcNAzRbDajemNoGNAMAylJQiP2YJMIgd8n/S4Qr4UQQpiaTD6PZqOBNRGgdUAETi3Pa4ugRxgOaown0Na7jM37rc5LLYZhMAWrIGDpVbD72uV92Ogxv1FMnxDBMZEktspQVdAwhOM4LKPAv1+LqPgPUyfaAl8AcDMKzGp7gC1KLDIXCAcAhcjIxWw5+n+eBbIlVr6hQYgQlGU9Y435rFTEzCiyZSqMeNOWCQDLBeQNYGUSmFgnWMwzPeYf/ehHAMAE45eXscoFyAkQzdNlO6NbM0h0G33LXZDJZFCpVNoWIyJjJPdp/ROrTomXuWRJQjqdhuO6cJrN6DjjbNmuECxfsknuE4SydDqNx48fdxV0kXjvt2jzG5Q5eFp85w5z0HIcYBefOA40TUNCUZjKBkfAG+YNw+jqMEWaTTywdcNg0Znvw42tKAFmXH8jdRxnzF1btuMYgEQp0p6KGhTkFZZiGdPSSBgW8orCjEmxoJGtl5EZinCIFABP48RWeO0dTZv/26vtNiTAg91AMQMcuh7g6nHgzp07uMMF48W4sh/96EcIKcVGoYD19XU0Go02eaq2byCWnm37DQxldBJhc/M6pwqIm3ZYXdlKuQzHdWFaFlLJJDzPQ4Mz4PodR9jxsCY8hafGiCJtmYjYeyVZhs8j1ZHaz/YRsZbRfk8R0UPL/12v1WBZFlNg4io74no36nVkstmefbOSmJtJCCNuceZ3izvK+EqsW+ArULEpMutsdFxaYo4wr9jI2BmkdQX5wEBetpGSeohe0Hj6EwjDACHZ9IKR2QiHwJd+zMl132TdBr4+BEwvAyu3HwM/mY6yHEk+PWnf/v04y4PhcrmMhwsL8PrU2sVcYEHq2XJXD7jP82NjW6a4iBSrqigYNNxQliQ4joNGowGFtwsKAqDrutsKysW9ZVlWFBy0KXjFyyu8N/65DOrug+/cYYqbrvMBJfrsBAQhRNN1JJNJ9vDkD33RhtItLStzNQtd19nMPZ567WwvOaJP4m+mTiPdxbgAoJYEEhXgf5q7CJVszljzJaCmhbBAIQexc+BLR8E6Q0ckRdmwwLaaQs/bJvZCQEOUwyYKtIm1QyY8BXjy3jf4/9Ye43eP//7mcfk+lpaWsCQmNKTT2L17N3bv2YOjx46hUChEI47iN138OCRC0HY1e93Yse8ulUqh0WxuSZmJWoWqqnD73MRCfaTRbLK0WqvFyCKGgXQqBbfVQrVW68307SAjqaoKK5FgDrfRaK+Bd7w3zqId4enQ9aHc5T3VWo2l6zgpR6wSms0mstlsz7SsCIATySRAWJ+nGxPjIJIEAwr+Ruo4znYJfAXKiRAHF2z8Hyb/BqTYAdcM1ppmOZ2cA4B5SbqVPU6A+FnTHhdA/D3uMJu0hQ2/gZWMj8ahLCo3H+P9hXu47xbwh/h59L5qpYJqpYLbt29DVVVMz8xgdmYGb7zxBnzfjzJJccH46NkjDrObc+y06Y735HI53O8i5CFmmA6CpusIwTIHgkVrmSZsy2LDGRoNNLkW8JZ9dAl+E4kEJElCvV5nz/QeNiuInvFA7dvAd+owRf0sak/ouDgBpdHqioYhmo4DPwhYdGpZUfql3mwikUx2TcualsUmcfB6p9fRwpCUdPxPMuexW+vfe1dOhEhV0eYsAUAOAQkEPqFR7Y85ykEEmU7ns+mqymETxaCBgl9HifoohU2sljewETRQChpQdA2XLl5EtVbAtU8/HeohXymXsbCwgDt37sD3PExMTmJychKHDh2C53mRxNfq6mrkjIZeZcWMLj821nVmXRiGIJR2rWPGEc03jH1PDq+LCMWebDqNWr0+UBLRNE0m49VqocZXNb0mkQi1ppHDfHoIpmpIKeROkhvaV51hEKBRr8OwLKiqCluS0KjXQcEernoXOUOF18WEWIjjOFsCpx9be/HX7cPQpd73WUsFfBlIOASdT1MlABx5k/VOO4+801n2gPhUiwYoBnUUgjo2aBNlGmC9UkLBrWAjaKBJPeyZm8ORg4fxwQfvYqPPGDQBz/OwsrKCSqWCcqmEVDodDX9IpdNMso9LcNY6xvYNrM12ZJTyuRyuXr265W2+70PjZa1+bWoKH+4tEAQBqrUaVEWBaVlIJhJQFAX1en3rscV8giRJLEgCy0I4joOxiQlomrY5QSVeBoiNOXwaHsaw+M4dJrDJEN2C2AXzwxAyZ1WJh59uGCw6dRwEYQhD1yOHSfgUDl3X0XQc1KrVLV+IBAn/+djvwiIaQtr/QVmxgb2drTyUR4shhScDWrSo6m9U9bCF9VYVhaCOgt9AMahjzathw69hI2zCp5srsESYBChFrcVWgclkEhcvXcKjhQXcuHGj7zF3QhiM53l48vgxnnDB+DQ3uCNHjuDcuXOsCZuvPivl8rbqH+NjY3j0+HEUAMU/GYThwAnoKtep7Mb+a/CHpM3Teaqmta2O45Jntm1DkWU4rhv1Zon2lq775Y50u7P6RmhHr3aQeB2TAggJgUzYcPEwCGAYBhLJJOqNBkvLZjLQdD0KnDRNQyKZhEQIqtUq/C7B0k/s/fjD5NG2KRndUE0CyW50hxCQPAoqUfgSoITAFo/aAR8hSn4Da24VhbDBnWMD660qNoI6quFm4KcoChJIoOpUo9LCa6+9htnZWVy+fHlbowHjNfpyqYRyqYRvbt6EqmlsWPbUFA4dPgyn2YxGD66urm5r8k8mnUbTcaIB8J09sxonTfYSLRBi+p3iMwCbEuNVKtA50S+dTqNer7dnpvj+VFWFZdsI+bNfyPMRvo9uI8cUVd1UdRv6jLeP79RhUkpRqlaRsKyujEjEHGo88qGUSTOJ1aOkKJHIthi5I0R4m47DItcukdVebQy2xB+gfSwslIC6SWHV+fsoEFKA8NyKFgKOvBlVOtRHMahjw2+gEDSwEdT5TwPFoAGH+lsGIseJAu2XgERMv7GxMZy/cAHXv/wSCwsLfa9tt+2IaxcHpbRtQoOiKNHq87UjR1Cr16PV50af4a0Ai+rGxsbwydWrW/fHmX5iHmlX0g0fleR0ETIQCClFtV5n9RDTRCaTQa1Wi8gmmqZFEln1RqNNlsxrtWBa1mYapyN1KybI2LbdU5ZxhN6o1WqRxmtnkEU4oUoCT+fFXmu1WgiDAKZtI8Gl6gghMC0LHh/jJ8syQkrh1OtdnSXAVpcAGbiSqibopsMMhUmzoF0JKSQCBDJzmBQUZd9hK8SgjmLYiNl1DeXQ2ezxjp1z4PtbAod4/7Ukyzh75gwM08Rbly93Fe/oh17n6LVa0fSkkFJkMhlMTU3htaNHcd622agyHgwPmn40NTWFleXltuNmXAzGCZGAvg5T07RIC7oXRP+1ZdtIJBJweYArmNamaUZBdHzR43seCKVdM0ZidGLT86DIMqxEYvtziofEd+4wb966hUsnTuDR48dbjEwG2AQN2kPBpdGAr2kwdJ2RAAwD2VwOrutG2q5qn36++Equn1JI3QCMBgV8AkoofBqgwJ1fIWig2GiirPlYrRax7pRRp4NbTLoRI2iX6E/crDt37cKxY8fw8UcfRXJ520I8+OhzTG6rhUePHuHRo0cghCCZSGByehrHjh1DIpnE2upq24SGOPJjY6hWq20G1Ebe4t+HIF11Qtc0RswZYlyb6zjwPQ92IoFkMskesgBk3udXr9e3fO+e5wGijtrxgFI1jfWIApicmsJ7H3ww8BhGaMfjx49BFAVar0HQlLJpHtia7veDAHVe1xS1qWQiEW2nyUl//VZIYt4OgWBUdn9f1QAmipQpPwKohi42fBbQboR1lLwApaCBpfI6SkED/oCkHu0IvrqdH4DoGaapKs5fuACn2cS77777VMSUYdKrlFIUi0UUi0XcuHEDmqpijBMBjx49yqYn9QmGJ6em8NVXX23uE5stKxSbWb9ex6coyhY763WcVSFjZxiRfWr8eeA4zpZZpEAsYxQLyoHNla3vecjmcihsbAw9AnK7+M5JPwsLC/jdN97oeYOFnrfJ9OoCr9ViD05eRJZlGU+ePEGz0YiGqfbKsd/3CnjilTCrZrofHKWgIV9dNjdXlH9/9S/gdaRwU8kkXLTQHMJZAt3TBJ1OVGB+fh4zMzN45513nnr0VCRQ3meF2G31uVEsYqNYxI2vv4ZhGJicnMTk1BSOHTuGRqMRaWRuFAqYmpzE8vJyz+2LWaOyosDj1PT4+SqaBq/PfM1OBEGASrmMTCaDXD6PwPOwvrERpZA60RJRqaZFikMAHwTMCSSCXbzdFfwIbLXwYGEB4xMTWOZkszbwVYMQxuhEGIao1+tQVRWJRAKpVAqe52FtdZXZhqb1HRP2/6tcx9/OngchjP3aRrKj0X9QNylMh917v67fwl9Uv2rbjmDfVoP6UPWvYWtkBIxTcf78eTx+8gRff/31U7VtAZwUOaje3sFAbXkeFhYWsLCwAEmSkOXTk07w6Ukrq6tY4atPSimSicQWhmz8XCjvrRZHEXedYqLJMIObhfMX6fn82BiSySQq1Sqq5XLPICkupRiHqqrR0PuJyUk84BNmvg185w5zaWkJIWHarZ0XNxBSbAOYdxKfeF6vVqFwpQmKTSWJfvivCr/Gj6x5nDR3YpokoEgKy7eKPhDCGorNWICTJAY2aHvE4w/oM+xEV+fYhbV55MgRWJaFy1xA/WkhtrrdSQnxSNZxHDx8+BAPHz6EJMaVTU3h1MmT0czJ27dv9xzqLYgUsiRtkrn4b0VRWE1r2GHgfE6pbVmsjlOpQCYEmqqylW+X8/Q9D+AOM5JS4ytOgK1Ax8fGsLq+vi0ZrxEYgiDArXv3cOn48e4OU1zzLinbOBRVRaPRgGVZkDk5JOB1yW6ZCYHr7iL+j2u/xO8mDmJOySMjm+w2CCkoYfeeLwOeQmHw5IhNtta0fc+DputQekxY6URffeMYcvk8Tp0+ja+vX8cDLqD+tNg2gUd8DojYo/HpSaZpYnJyEtPT0zh+4gRanNGaSadR4mIUnQiDAIqmQY4di3iXPkQ6thMGzy7Uec84OEmw1zO85XlI8kVRHKqqRlmqqakp/Oqtt4Y+hu3iO3eYnufhzoMHGJuYwOKTJ1tel3nto6eouizDTiRAKcXi0hImp6ag8fSaaRhoOs5AJte7jXt4t3EP8CmO6FM4Y+3AIW0KCn+s140QeR5oBZSiSrcWmX3fZz2ez9CaED9HVVVx4cIFEELwwQcfPJOzBDbTQf2MrFcNtaux8AkNQjA+PzaGi6+/jkwmg5/97Geo1mpRo3Xc4DqJP+KMNVVFCAyVOpFjNeogDNGoVuF5HhS+MkmnUl2VfIBYVBqLvkVEGoYhJiYmvtWI9PuMIAjw5MkTWG+8seU1MZliECHH5rwEx3GwsrICO5mExLWHCSFwGg30s661oIb/Z/kqQkoxBhNnzN04aezAmMLq2o4B6A6FxHs8yuFWWw64VmqvkWTDoNNuZmdnceLUKdz4+utndpYArwn3cUa9rnGvv8cF42VZxusXL4KGIc6cOdM2rmxlZSVyRkEQQCWkrcRC+LHJitKVjNMNuq7DTiQAMAlFMRA7kUzCtiw2tajLtjw+XkxTVbS4qpmsKJAIQcvzoGsaMrkcnnTxK88L37nDDIIAt+/exc/4nDeB+OiXMAi6sisVRYFt21EqJwxDNGo1RhZotSI9Sdu2mfC363Z1nJERS8Dn7hN87j6BRVQcM2ZwytyBpjEGq8kWnn9Rvb4lHQswx2/E8u+D0C0AEKtOy7JwkQuoLywsPJWmaidESvZZJr33QyaTwZPFRXx69SqIJGFMTGg4exaqqmKF1z6FJnAchBBohsHIHz1qXAD7vk3DYGkgLpvYaDQi4X2hD5tIJpFKp9uE8gX8uA4md5qqqsJttSBJEmZ37MDVf/tvv5Vr9H2HEBpvUbpFiizSVJYkkB73YMK2oagqmo0G69tzXSSSSaa8I4RHTBNaGDIlmR5ZDEE6Wglq+Le1r/Bva19ht5rFKXMn9uR3wWwyW1jza3infmfLNoBtZoy6rZjJpjLNgYMHMT83h08+/nhoJzIIA1eYT5nqBdj3mM1k8Mtf/pLNnzRNTE1NYceOHTh18iQqlUo0fjCglPW/x55Rhq4DhLQpLm0hQAHRTGGABcr1DqnCWrWKRCIB0zQBzqiOw221mP3qOnOYQDQ4w2u1sHv3biw+ebItZvB28UIc5q1bt/Af/f7vI5PJRMLNnaLfnVAUBYlEIiILiC+mWqvBSiSQSCbRbDbhNJtsqLGqwubL+5brMlk63jPWpqfKb/4G9fBh8yE+dhbwB8Yf4L9b/AAFr4r1YGvxmX2MRiO/BjnMXk5LIgTpTAYXX38dt27dwv0HD5BKJp/p5o9vWxxnT3TUPNifhiNlT01MRHP6aMeEBsuyMDk5iV07d2J8fBzlSgWPHj3CysoKyqUS6+cCS/l2smsJT7OK1bsY4SOIXZ3H6/s+qpUKkqkUUuk0KuVym9P0fR9WrLVEURQQXr+c27MH1Xodi4uLQ53zCFvh+z4+vXoVF8+cwUcffsj+Fgt+CSGsjt4RACd4P16j0YiyDJTSiItQq9VQ52xoTdej6Rgt7jipGBpAyGbvXozI99Ar4qFXxOHQQ2JDw1sbj3GvtY6gx5rL8zwopslSgk8ZsMqShBMnTyKbzeKtt96CJMtQBrRVDYv4kIFueJawOJfLocFlKgG2+rx//z7u378PSZbZuLLJSRYMaxqWVlaw+PgxVvm4Mk3Xo/FfnRKVEiEwDCMi9Hi8p1a8v9OeRQuhaRjR6DSBgDOTFU0D+ExiRVHgBwFkQnD44EH8xS9+8QxXYjBeiMP0fR+fXruGk8eO4b13390yWFSKRWsAWy3Ztg0/CLYIFYR8EobNR0YJtizhrCtF06CbJgLfZ6zIzpFfHeLeQr7rG2fwPDWPTy/ZlCDojl6vTc/M4OTJk7j26adYWlpieXxsv+7YFQMmvVPgqR2zoijI5fP48KOPur7eaDQigzNME1OTk0gkErjw+utsBuXGBlbX11GtViNlIcLr2jpnQIeURo6y7bjpVpUoQQZKpdNIJBLtUoodE29EXyalFAcOHMBf/upXT3UNRmAIggDXvvgCP/vt30Y+n98iwg8A6GBWCtH0eqOxZdVYrVYxYVmwbDt6sHqeB1lRopm1sqKwwcyu2z7Orss4uIRt48nSEh61+jPNfc8DMU2oT+kwVUXBmbNnAQCX334bge/Dtu3BdcchMEx5pZctD3o2AcBkH/JeGARYW13F2uoqvvzyS0xOTUUqYqdPn0alUkGxVMKjhQXEG7OiySJ8zq1Q/Yk0gWMr5s4QXfRRG4bBBtDHAipgk2wklMQc18XefftQKJVY98W3iBfiMAHg5q1buHDmDCYnJvCkgzAg1IDEjW/ZNgCm+NANlUoFqVQKpmmyxnv+edd12Qgaw4CuqpB5wdjzPPh8Tp4kagN8X9tRufc9jznlp6h97Nu7F/v378f7778f9aS2rXqfEYNYdb2Mb5gV5tjYGEql0lDn3HJdbBSLeLiwgM8++wzpTAa7du7E9NQUjhw+jHK5jEKhgI1Sia0oggAu153sNiKtF8IwRK1WQzKRYEEPv1c6z8YwDLQ8D/v27cPq2lrbgN4Rto8gCNB0XXz99dd47bXX8NZbb2353uKTTFTeFubwWZXdtue1WtA7yB2B76PheQCfcqPyYe5hEMDj+tKC+BcPFBOpFKq3bg19LqogkW0DpmHgjTfewOrqKj7//PO2bMnzcJjPVF7pkkXqxNTUFD7//POhNlev1VCpVnHjq68gKwp27d6NsXweZ8+dg0QI1tbXUdzYYM8H32fP4GZzy8guAFHvZTc0Gg3IsgzbtlHx/WicGoAoABPBNSjF3v378evvIPj9zh2mOHHXdfHVV1/hyNGjWOyIbig2oyrTsqDIctdamIDv+/CDoE1ei1Ia9Uu1XBct140Gn6qKwoggYchSBNgU7U2kUj2noHRCOP9BZIG40RAAx48fx8TEBN5+++3/f3tvHmTXfZ0Hfnd/9+29dwPdQDf2HcRCECAJknIsyY5kK5Xy2CM542jyR1yppFKJqxxPUomS1FiVZVKJHWdiu6RYk2WcsuMql52qsWxJFEBKEIiNAIl9a3Q3eu+3L3e/d/74LX3f6/devyZIYeH9qlgE0N1v63vuOb9zvvN9xMIs3L7COpVkl/ioCZN+sSOrcXTz5q4H6+x3JksSHJDP7PHsLIz79xGLxdDb04Oe/n4cGhtDEASYn58nKiXLy3y+EZ6HdVqTcR0HhmlCj8V4sIa1TlVVJZ+L52Hbtm14++23P5Z58acZHrWbevToEXbt2oWRkRHMhQpg1hHwfJ8sles6l7prh2qthmQyiVgsxjsMPnX6EWjngRGDFGqwoFEjattx+M8wVnW3BbDjOB31Slshm8ng5KlTeHD/Pu7cudPwtfXaqN2CJZWPpfPUhGQyiZimte4MtIDneZwTIAAoFgpkDSgIkE6n0dvXh9GxMezbtw+5fJ4TActUhKAhaa5zn6lWq8hks0ilUiiVy5xxzU6Y7AS6fft2zD5+zA3sP0n82BMmQAa+ru9jbn4eO3buxMT4OJ+HMbBFWI0y6Na7sdVrNSSSScQTCVRZS67pl8HaO+woLysKVFXlLFvHdZFMJDYkFMDYmp1aH3yVQpJw/OWXIcsyzpw5A6epfRRW2HhSrMeq6/zD7S9iSZYxPDKCD0MGs+siCCCrKuKShEw2C8u2IXseTLrHd5dag6WpQ8POnTvx8okTRDB+fh4LCwuotVhkbgU2w07E43Adh6tGidQWyvN97Nq1C1NTU2R+FiXMJ4JlWUilUvB8H9c//BAHDx3CYkiSjcUFG6sgCNZVYfE8D34QIBaPo1QscpWm8FXpU2svEySumF9jjNpLuZ5H3DUof6EbMCJfg15pBwwPD+P4sWO4evUqHs/Orkm0zG3jiUEPD+2Sb6fnWO+UOzo6ipnZ2a6LdNd1ISsKYrEYUpkMNFVFuVyG6/tYzuUwNzdHiiNZxuDgIIaHh7Fr5054nsdFE1ZWVuB63uqueBsEQYBqpYIUZc9Wq1WydiiKkKktWxAE2DI2hu9897sf/X63ATyVhGmaJizHgSRJuHLlCk6fPo1yuYwcNS0VQKoqXo12cfE6rgvP8zr6ZDIEQcCdMZgVlEQDLZlOY35hgVQvdB7a8XkpO7djWzYIENN1nDp5EpVKBRfee6/BpZ2BV18/hhPmR8Xw0BAKhcK6vxNW8MiKgjjdq/N9H67rokCVOJqDtFwuo1wu4y51aBikKiW7d+8mgvFLS5h9/Jg4NHR4b9VqFZlMhijH0CpWkiQoioK+/n709fbibbqrFYmvPxkcxyG/V8/D4tISNq2s4PixY7hw4QK1uSIts4SuE9eJEGGvHSRBQL1aJXNLXW+p+hKG63lw6YlVlmU+5+zp7eUkEhbLnX7fzBawm7bstokJ7NmzB+fOnUOeyXy2YM5+HOAEvnYJ8wnuF6Ojo7h85cq638fiR9M0xJNJSJIEWVFQrlRQavLPBEhinZub44S6TDpNYnnPHrySyWBpZQXzc3OYn5/nM8tWcF0XhmEgputQNY0w5EHa4KIk4aVDh/DhjRuEv/IJW3sBTylhMv1AlVYnVy5fxssnTuDdd95BrV5HAHLcFiUJ5S40PkWqDFQsFJCgGoXVLrVBfd/nrTsIAmKqirph8BOoIAjwPY8EpeuuqWJYNcxOqa2QSqfx2quv4tHUFG7fvt3wtYYK8GM8YUJoL/33JBgbHcXjFoN1niBpu5uRqQQAtus2tMu6WcNxHAezc3OYpQHHTp979uxBJpvF8vIyVylZE3D0FJNKJnn7Jh6PI9vTg+3bt+PsmTOwHecTW7n5tMGyLLh01HL12jW89tpr2LdvH27cvEnUYSQJqqaRTlEXNzWR2r1p1OJtvYQZBkuMnu9jcGAAhmlCFASoVPQbIDHrtUmgjuMQk4cW1oEAgCDAgYMHMTI8jHfeeafBHaQVPq7xykcuojsk7Ww2C0mWWzqmsIMEO0yw4sf3PLjUh9R2HBRZB2AdlMpllMpl3Ll7FzIthgcHB7F7927YjsM1b1dWVtZ8ZiaVSYzrOtm9pPaN+/buxfzCAqYmJwFB+LEkzM5n4k8IjCjABvQLCwu4e/cuXjl5Eoosk/kEdS5opbfaDL7QTvd6knT5eSNgiUuLxVDM51Eul2HU6+Q1BAEUVYWu60il00gkEtA0bXVFIdSWbcZAfz/eOH0aN2/eXJMsATQwOD8u0s96rLr1Lu92IaZQbcpZ2n5SqCA624Nk4viu58Go11GpVFAoFFCtVLjc4UfZSwuCAOVSCXfv3sXZs2fx7T/7M8xMT6O3txef+cxn8JOf/SwOHDyI/oEB/nt0bBsenWsHALI9Pdi7dy8uvvcearUa2eNscW39yq/8CoIgwK/8yq+0fC27du2CaZo4e/bsht/HiwrLsmBaFmRqFv7ee+9hZNMmbN2yBQHAd++cFl2FVmAnvVKpBFmWkU6nN/yaRDp2qdfrqFSrqNVqvD3LEng8keA2gaqqQhJFMrIB2op8Hz9xAn29vTh79mzLZNnA2n2SRBd+HFHsGLOdPtNOZ9zR0VGuIS3LMhcUyKTTSKbTRM1LEGDZNuq1GsrFIkrU6F2hNl4fpUPj2DbmZmdx+coV/H9/9me4dPEibNvGvn378IUvfhEnT57E+MTEqtRpEMAwDKLwJstQVRW7du+Gbdu4/uGHfJ+9uRv4ScTyUzlhAuArIMxH78H9+0gmkzh+/Diu0BaBZVmr7u2d2hsBcbHzPA+FQgEDg4NIp9N8x7NbqFTblLmFhFuygiBAoicoSZIIeYj+HKt4At/njDDf8zC2ZQsOHDiAH507h+VOQ3U2/A6RfgL6nsJYMycNfU/YXotVpG1FntcL4lCgC7SdKcsyxsbGUCyVCGs59Nyu58GhKwCtWtjMVaReqz3xUrEoirBtG7Ozs4R4JAjEoWFoCAf27+eC8YuLi1jJ5SAKAlKJBMa2bMH169exTCvYdgnzBz/4AQDg5MmTLZ//t37rtyBJEv7O3/k7T/Q+XiRYloW6aUJWFNiOA9uycP78eZw+fZo4y7Bd6PXiGOCx51NioGVZSCSTqNdqGzpBsDUltmLkex5s+joA8GuaxbMkSQBlXbK9T+Zm49I27alTp1CtVvHuu++27d4ITX8OS8h1ZHlTUlNzfDP7tICRnrr+BFY/hzDYe5UkCaNbtuDa1atIZzL8tflBAIuyjl3abm8G26lcz/2kFcIkPBFESa1QKKBYLOLOnTtQVRWDQ0PEcWXfPhiGwUUTXMchdmbDw0gmEnj7e99r+Lya7z2fRCw/tYRpmiby5TLSus6JOB988AFee/VVHDhwADdv3uTB0y7I+MxB1yHQG7hDe95stWAj6x56LAa7zQkoCAJ+EbHXxC48kfb3Y7pOAkkQsG1iAiMjI7h48SLK1SrRWqRtK9/3ORmFiSmw5/Dpf81C5QwN/xYiQoQ/I0kUifIIe+3h9wGscVsQRbHhP5+SZNjjsJ8bHhnB7OwscQ7xPN7aWg8akzn7iKfL5s+BnSJZBV8sFFAsFHD79m0oioLh4WHi0LB/P1xqI/VoagqTDx/ynxfQWpbvypUrqNfreOWVV9Z87ed+7ufwuc99Dr/5m7+JDz/8cMPv5UWF7/tYXF7GgZ07+bytUi7j8qVLePnECVy7epWbCLARRys3IuYZKUoSAhpnxWIRQ0NDSGezXZkthxHTdSwtLbX8mkevXzYeYFZzkiRBoD8b03X4vo94PI7Dhw9jcWEBt27fJjZWNIYDOpvnRW6okPS7iGcGZmjeHN/saz6d3QFojGv6nOGddVEQIITimclT8q5bECCdzcJ1HBQKBXiU/8EYz50gCAIUVYVRr2+8+G0qGMLbAawYsG0bj2dm8HhmhhfDI9T8IZFMEj6CLOMvvv1tQpoEOSC4nge36bV/ErH81BKmbdtYyuXQOz7O33jg+7h67RqOHz+OAwcO4PKVK/CoqIHn+2t2dhqW0kOzwFKxCJ0u2ObaqO+3gqZpXdvCBEHQcAL1PQ+KpsE0DBx56SUkkkmcP38eruOQ1m1IIEGgFzizMvM8D4Hvk8qWtkYQDr7Q/9lzN0hQ0SqUXYAyJT1ItL3NvsYCKQAhVgj0a36wKi/GXo/rurDpriprY6XTabz77rsbYqMJAlHmaGUS3c1n3OIf+eO2EjGwQ3ZlMV3HW2+8Ad/3cY/u4rGfCYCWZAPXdXHx4kW8+eabGBkZwTxdkYjH4/i3//bfYnFxEV/72tc29D4+DSiUSrBsm7CzPQ+iIGBxaQkPHjzA4ZdewqVLlzj7vFWybPArDV3fHrVuY+bwG9FYjm3g+33PIzudjgPTJJ6XtmUhmUjg6JEjuHvvHubn5oiRAI0h1hkKj1I8mkQD34emaTy2+Qkz3DkKxbjArmv62YTjWVEUYpWnqvz5BEFYjW0AoH9GKI7ZtW5bFjlh0zGF57rYsnUrph49ajBk7+ozpat73ZomhNHphCy0+HoQBGSnk9qV7d69G/sPHEAul+OdA/YeW3nqfhKx/NQSZhAEmJmfx8GdO2FZVkPb9dKlS9izezdef/11LkTOZNLY9zTLb4VvrX4QoFqtkh0jXe+48xVGjOqbrrcf1AqO4yCRSOClU6dgWRbOnjnDW0i8cqbVM7/YRZEkLgAiJcvIVBYu3H4VQeaOza/IAyEUAY0Xm0qp8TYVK2ZgQevRasx3HPJ3GuA+/b9DzZnZTUEQBIyNjWF+fn7D1G1d1wFKrGq3pNwJ7U6X4T83y3EBQCaTwcmTJ7Gcz8NbWWn07AQhIjVXpAw//OEP8eabb+LkyZP44z/+YwDA1772NYyNjeGrX/1qg5JQBALLsrBSKKA/m+WjAFmSsLiwgFKphGPHjuH2rVt4NDW15pQZ+D6/vgVgTeyVy2Uk4nGk0mlYG1j50mIx0mH6CPHsOg5GN2/Gzl27cOHCBSJwQWMFIImNFaASjWUW16DzU0VRoGga+VqrJwmNPjx6Sk2m0zzm2HWux+MQWyX+IIDLJD8pic0LAgSUiMhOvqzLxopiURSxefNmnNmgq4coiqRo+SidIrTvmLH7nND0e2J/FwQBBw8dwsDAACYfPWoYtbF7itHmNX3csfzUEiZA6P8Vw4AsSeS0CBJkhmni4sWL2LN3L954801cOH+eLK5StJppsgqNoVypIJ5IIJNOd58wNY2w6iRpw8PsWCyGo0ePYnl5GVeuXGk4HbG2IruIm8HapGzHqVou8wuHV5ChypLNO0U6DGfPwf7TfR+ObTc4lvNTaYvZaDPCLRIW1FvGxnDr1q0NfSaMvGVaFj9ld4tWrVj272tea9NJc3hkBEePHMGN69cRCAL0RIKL+bMA69Qe/uEPfwgAeOWVV/DHf/zH2L17N/7+3//7OHfuHP7zf/7PXb+HTxNs28bC8jI2DQzAoWQQRopbmJ/Hu9UqTp06hUQyiZs3b5K2Kz1VNssXAk1jhCBAiUofxhOJtopfzYhRZu6GEQTYsmULxrZswQ/PnVttBYfiIvB9IuvoeWguIT3f5+OMer1OxjisE0R/Xgj9HcKqwIFJtwRYrDJCTr1Wa1jFYt+/Lr+DPj7YcwIYGhxEvVZDtVrd0Ew0pusIBIHcIzfwcwDa8ibCim7hZBmE3vvLJ04AQYBrV6+if3AQlm1DURRyIKC/k3bz1I87lp8KS5bBMAws53JcXYPd1Fib8/atW7h54wZee+01DA0NkQuWVqPNaPXrKBWLUKhoezdQafXU9UmIJqFsJoM33ngDjx49woMHD9Y4rax3QTeQeehJj7WIGP3dpaILtm0T5SJ6I2DECNu2OemGJV82kwjLSnXTFG1+vdlsFrquY2l5mdzY2Il+nfcV0/WG1udGmcvdvDZglVwhCAJ27NiBw4cP49y5cyhSy696vc41LRmMDq26c+fOwfd9Thb4D//hP0CSJPztv/23n/j1v8iYmp2FEJqVyYoCl552qpUKzp49i2w2ixMnTvClc7dpnikALW+uNTozS6dSXb0WNrNzXZfPJTuCFbNBgCNHjmB4aAhXLl/mJKHw93WFUNeDxzNdS3OprrVDd8Ht0KqVRVXJHBrPPp0tNsfzk2BiYgKTjx7xli6w/n1BpERHm5I1hdDProd2xW+n7wdI6/TNt95CtVrF1atXAVEks1N6sGD3actx2rKIP+5YfqoJ0/d9TM3OEskyUeT2OmG20+OZGZx/7z289NJL2L17d8vWZLtfnEEVglLpdFeuAbHQDLPt97MAoHOJkZERvPrqq3j//fdx7949AKs0evb9XUP4eJRBRFHsah2nW0xs24bJycmGVqjYrs3EXgMNMMs0+Yy02xNmpwBrOdcUBMiKgqPHjmF0bIyYb9N2NFNwYm0ygJz027VwAEI0uXXrFo4fP44vf/nL+Mmf/En87u/+LgnaCG1RrVZRLJXISIEWwGFiiG1ZOHfuHGzbxhtvvIFUOt26i4DWv+disQhZlpHNZNZ9LVrodNlJ7YYltABkleTV116DFovh3R/8AJVKhbNoObpIEiLrApEnWPf7O0FghgztkmQXryfcfYvrOnp7e1d3qUMEoU7JU6c7kIZh8P3ljzJiWfvi1j5GACKQ8sabb+Lhw4f48Pp1aJoGlzqcWLRjxdCJrftxx/JTTZgAMDM7S8w/qaByqwsjt7KCs2fPoq+vD3/pL/0lZLPZtQ/U5sLM5fOQRBHZnp51X4va1MJpTsSMGccG8jt27MBLhw/jh+fOcbV/vpPZjcNAEz6Gyw9Ao81RM7p6PaH3LSsKNm/e3NoElxGHQqdO9ugswNjn2UloeSOvr1VxtHnTJnz2s5+F6zh45+xZ2LYNTVX57pZlmmS1hQaZ1QVh4Qc/+AESiQR+93d/F8vLy/jH//gfr/szn3Z4nofHCwvEkECSyIytaebtex6uXL6MyclJvP7669i7Zw9pX1J0UruybRuGYSCeTDYWpS0Qi8UaYlmW5YbHZImSPaeu63jjzTdRrVZx/kc/IqQ3ywIEgXsutntdzeBjFHTX0ekEtnbXcpSzwZMbAIxPTGB6ZqY1w5Ulz6ZYFiUJiizDtCw+VhLQmry14dfY9HmqqopXTpzA4ZdewsULF/Dg/n0k4nFOsgTA90AZOhW/wMcby089YXqeh7mlJRIAtJff0KKkMOp1vPPuu7h75w5OnTqFgwcP8iqj04Kw53koFYuIaRonyLSDqqoNrDomL8damixRCiAC6uPj4zhz9mzDEJr11TUaZN0GDA+wJ6xIyQvvIB7dTUUa+vPWsTEsLi62ZKE1PqzAKe0SlcQz6ekSAC80ukHH7wo9hq7rOHnyJPbs3YsL772Hq1evEv9LajLOEiZbW2JY770Aq7OPVCqFf/gP/yF3lInQGfcnJ8laRsjPtNXv8+HDh/je228jk8ngrZ/4CfT395MvrHONFItFwPfR09PTscWv0vZhM/hKF1aTczabxVtvvonpqSniNkK/NwDpdoUTZrfRGWbCPgk+SuG99kHoyokgYOvWrZicnFz3+9lKCgQiURoAnAsSJg91QlcJPfT7Hh8fx09+9rOo1Wr4zne+g+XlZS6wXzcMQq4KArhU0hQg9xV7ndXBjzOWn3rCBIDJ6WmirkFbs+G1CQY2bJ+ZmcHb3/0uZEnCT3zmMxgZHiZf7xBoNeronkylCDW7DcLiyYxNylhaDJIk4eTJk0ilUjh75syadoBP1zCUdSrgZvCq9AkDTOwUYF1WpOH3OzExwfcXu4IgcJHtBsJFFwmzqwCjwbp9+3Z85jOfQT6fx/fefpu7LaixGGQqrSZR0onnug2PW+uCBMZuKhcuXMB/+k//ad3vj0BQKJVQrla5DF34pBKG5/swDQPn33sPN2/cwNEjR3Dk8GEiq9jh8YMgQD6fh6woHbtGbP+QISx6EH784eFhvPbqq7j2wQe4R00AwrCpzRx7P92e6D6uEyYrOlpho4+9adMmVMrlrt1bAHJPVlQVBl21AbpM3t3ex4IAyVQKr58+jS1bt+IH776LGzdu8Da5Ho8Tyz/ThCRJcOl6IXsN650ugY83lp+JhPlgagp10yRyVE0JiiF8YrJsG++//z4uX7mC/fv349ChQ/xE1w6FfB4SgN4OlSlTFWJLvOy1sF9OTNPwxunTsGwb5374Q74/2gzHsiDRuVq3+LicSrgVUBs2btcIAlL1C8TjrltomgZJkmAYxoaKgG4r6Aw9DYyMjODMmTO4c+fO6kxFFKFT0XzbsjixxAtVoAYlLayHX/3VX4XneRHR5yPg1v37EOn1z3VIQ/CbCqP5uTl87+234Xoe3vrMZzAwONjx8W3HQbVchh6LkeKsBcJxwJOlIDTcbCcmJnDkyBGcO3eOi4Q3w6NrG+vdX5rxcY1XhE7dom4fg34WE9u24eEGil9BEKBT4wS7eS1snXjttHPJIEkSdu/dizdPn8bs7CzOnjmDEvUzBsi8VRJFzoqWW5h7l7tI/h9nLD8TCTMIAty4cwcilavq1kcul8vhu9/7Hqq1Gk688goOHzpEBHpbwA8C5PJ5KIqCdDvSAO2TNzNARUFAKpnEW2+9hbn5ebI20uF1sUQa22CQNTvTfxR0IglsNBlvm5jYWICJInSq3MTIU3w3jfyl8893+Fq2pwevvPIKXn31VUw+fEiE+pvWC5LJJCRBQJWyclkBxoUxAJS6CLAvf/nL+Nmf/Vn89m//Ni5durTu90doxI27d2GYJk8yUtN13era9FwXH1y7hosXLmBsbAyvnz6N0c2b23YlypUKXNdFOpNpIIBwCAJn6Db/uwDg4IED2LF9O945e3ZdH0Xbtlfl87ocK/BOT1ff3flxWt4LN9CJCgCkUykkk8kGr9L1ENN1iILQIG4gskME2sfrep0iSZaxY+dOfPZzn0Mmncb33n4bD5pO97IsQ4/HYVKhd/Zz7CADkIOTtU479uOO5ae6hxnGjXv3cPLYMT7MF2llKqCDWDht3d67excz09MYGhrCW2+9hfmFBdy7d2+NYwlzSYnH48RLj7XmgoDrXLY66QwODuL4yy/jg2vXMNPCqaMVbMfhN+yNXtxPgk4kgY1UvVoshsGhIVx5//2ufyYejwNBgHqrliet7lshLEjRjL7+fuzetQupdBp3797F+ffe44vY4Z/QdZ3ssNZq8FnBEo/DDwIuZ2i7btv55djYGL7yla9g+/bt+KVf+iVcv34d/+Af/IMu33mEMDzPw93JSZw6dgyKLMOx7a78DwVRxEouh0sXLyKVSmHb9u3Ys2cP7t27h5mZmTXJL5fLYWhoCNmeHqyEBA3YekirGJAlCcdfeQWyouDM2bNdSWc6tg1N01aVhrpJmuxe8qQjFkGA06b43Uh7mK2SdNvJkSQJmqrCoupAa14XI/o1j1o6PL6iqti2bRu2bduGleVlnDt3DrmVFfhoZNwKoohkMklUnuiuqKIokGWZn0CDIGhb/H6SsfzMJEzHcXB3chIv7dtHHCYMAx6tVDqq8dNfmuu6uHnzJu7du4dt27bh9OuvYyWXw927dxuO+cViEUOahmw2iyXqXsANalusdYxv3Yr9Bw7gvffew9LSUtfEFduyoFL/uG6FE0RBWNdJZD0IlJ3Y6jNrJSXXDhPj43g8O9u1Fq+iKFBkmYjPt1lpEbA6k2EkoHavaWhoCLt270ZM03Dn7l1M/+hHZFmcGROHfobp+NqWBSeUEGP0s2c7mMUOw/6f+qmfwr/8l/8ShUIBf/Inf4K/9/f+3kcSl45AcO3GDRw/dIgIpxsGl2Rki/odIQhYWVnB48eP0U8Lpt179uD+vXt4NDXVsLRfKhaR7elBOp1GuVwmc0u6wtR8HcY0DSdPnUKtWsV7IU/a9cDIPwq1++sG3X7fuo8hPLmvraQoGB0bw/fefrvrn4nH44Q418ZajcWy1CTy0iqeNU3D9h07MDE+jrm5OWKLRpNdEARrCqlkMglBEBp8jZkkX71WQyKRgEkF/1vhk4zlZyZhAsDV69exb+dOJBMJYgXkuvDRHTWZ/aIcx8GdO3fw4MEDjI+P49SpUygWi7h37x4nhuRzOQwODiKbzWJlZaVBCSN8ce7btw9jY2N45+xZVKpVvq7RTTCwpWy+D9YlHf1JK1KpTTt7I8lSlmVs274d77zzTlffH551tFVWCQIETCdTFCEFRHczDFGSMDI8jJ27dkEQRdy9cwezjx83JP/mz18QRSQSCa45yqCoKpml1utQFIU42XSQwfrGN76Bb3zjG1293wjro26auDs5iT3bt0PXdWIcjdYSj2FwEQp6raysrGBlZQU9PT3YvXs3du3ejQf372Nqagq246BuGNDjcSRTKdQNAx49ATZbYqVSKbz26quYnpnBzZs3AWwsJizLIrZ+ug6r25vvE8Yza2V7TxjPO7dtw8L8fNe+oswPtFqrtS28w//K2sbNnaJEIoHtO3ZgbGwM09PT+N7bbze8hlbvQY/HIcsy6RR5Hr9W4okEF4mXZBn5DryKTzKWn6mEmS8W8ejxY2zdvBl6PI5yqbS6U9jh4vBBVfoliQ+FXdfF/fv38XByElu3bMHhw4chShJXws8XCkhnMsj09PCTBxuwS6KIo0ePIpFM4uyZM6ttvA0GgGWaxPXgo0p0fQQIbWT9NtLCGR8fR25lpWs2HZt1rDeAb27IsfWh3r4+jI6NYfOmTahUKrh96xbmFxbWfNatAqxVNeqDBB5A1pHiiQSKpdLHs7IToWt8ePs2JrZs4a1Mz3XhhG6C7dCqcVsoFHD+/HlkMhnspPOvleVlzMzMYGFhAX39/ejt7cXSygo8xyGPQeOgv78fr7zyCm5cv45HU1Orz7OBApiRh1RFIVqq3RTA637HOj8f0tpd87Uuk6UkSdi2fTvOdOn5KIgidE3jSkTtv1FouCezzoGiqti8eTPGtmxBMpHA1NQUvvOd76zRn+XiFOFOkaoiFovBCnWKmDmEGouhXq3yXf315s6fFJ6phAkAt+7exUh/PxRJIuLJXSyZ+4zR2uZrk5OTmJycRDabxZYtW/Dqa6+hVq8jt7ICRZbhui6qlQokqjZ04pVXYFsWfvDuu2s8+LjVTpdB5jkO1FiMJN1u2KLrfkdnSIIAux1JoIvXLIoiduzYgTNdni7Xm3WsPn1jVRqPx7FlyxZsHh0FggBT09P4/ve/37YK7liNVqu8/RYEAUQQqzbHdcnsTJKQj/Yof+xYzuUwv7SEob4+JBIJlIrFrrooPtorbZVKJVy6dAmyLGPz6CjGJyZw8NAhLMzPo1qvww8CLC8u8sJxy5YtOHTwIC5cuIClZuF2QVijQd0JlmlCi8W6FiB/0rZsuxPmRgq/8fFx5HK5rovfRDze1smn4flDXT8BwMimTRgbG8PA4CAW5uZw784dLCwudmwnB6FrQZQkJBMJuK7bqBUcBGSnVxBg0FWxmmF07Sr1ceOZS5gLKytYKRaRSiQQ13WUHIeLoXdiZQGERdVpZaBYLCKXz+PqtWsYHBzE2NgYxicmUCqXMT01BQgCXnvtNczNzeH6jRttL0ymhNENTMtCQlFIUuliYf6JJx9PSEPfunUrSqXS6s1tHcQTCSI110W7R1EUTIyPY3RsDMlkEjMzM7h06RIK+fyaVYMwWsnqsWrUNM01TiQA2cesVSpkrmqaXan7RPh44TgOHjx6hGwqBUUUoek6jHp93bYsfJ9LtbWy9QNIB2mKajfHEwmMjo5iy9gYxrdtw9LiImzTRDabxaZNm/DOu++2daVgs85uVGvYypnaZcIEnqwAFkSxLR+hq58XBOzauRM/oIv760FVVSL0bhjr30MEAT3ZLAaHhrB582aUSiXMTE/j8pUrXCS+bTzT14bQcySTSQRB0EDUDEDutXosBiEIUK3VkMlksExV1Z4GnrmEaZombt2/j+MHDiCgawpVNj9sc7Jjpw9OeaanmebvdOlJNAgCLCwuYmFxEYosY8+ePRgfH+drJfV6HclEApV2XnF01tlNQmHCyRptNayLFo/JvfGEVaUhBk6pp0mlFQ2923mHIAjYuXMnLl682F2yjMchiSKq1WrLoBZAVFQGBgeJS3oqhfnZWdy5cweLTdUnb481PUbzik8Acvpg1WhDoqafgUoNq+v1OjRdx0o+/9Qq0k87ZubnsW1sDOlUimg1WxYQWvdo2RUCINMExoRMWn0fi+d6vY67d+/i7t27GB4awsS2bdi8aRMCAI8mJ6HrOuq12ppuEQN7jm46MJZpIp5IdO/N2SoumG6rsOpeItLvC0v4SbL8ROS9rVu3olgqddW+FEURcV2H6zhtiwFV0zDQ34/BgQEMjozAMk1MPXqEt99+u+FU2FF4AmtP3olkksxMKxV+T+DvUSCyhZbjcEGS5nWyHyeeuYTpeR7mFhcxOziIzQMDUFQVqqLAZifNkA8mA1MGCpuvrpl/0X9vvvwcyq4dHhrCwcOH8ejRI2TSaezcuRMAsLy8jKXlZSwvLTWsJGxk/mFZFuKJBPeobAVBFInpsygioIlIFMV1dzPDTiyyJEGPxyEA3LXEDwIuxMDMY9vVq6Ojo6jX68jl8+u+J0VVifauYTQwaROJBIYGBzEwOIj+vj4YloWlxUVMPXqEfKmEfAc/w/BSOYA1rMogCCBTI2vf9xur0RDbLkbXWzzPg2FZDdZwEX68qFar+ODuXZx66SX4ooh4PI5KpdJR79j3PID6xrIiiJlSM7Bk2YyFxUUYhoHtO3ZAVVWYhoGdO3fixMsvo1AsYpnGcrFYXH3+DbROPc+DR82hOyVMSZKgKAp0KqzAvDPbdadYkZtMJvn4JE4Vs9gcj8l0MucSzvBvAVb8Xr58uav3laAnvFqoAJUkCX39/RgYGMDQwAD0RAIry8tYWVnhB452yVVoUQCv6RQFARL0vmjU6w2+nfyQAHKvKZXLUDUNy/n8U2WvP3MJEyBBduvBA/SkUkhIElRNI0vIbFcSLaqYptaNIAjw6DwLaM00Q+hrS8vLfLB/5epVBEGAVDKJgYEBbBoZwaFDh2DU61heWcHy0hIKxSIX9V4v4DzXhe95UJlBNVYDSpJlYioNQp7xXBc2NXZ2PQ++45Bg8Txu6MwG5gL9rNj71VQVAlXZAVaDVKEtYRaofhBwd3kWfAKA3bt24doHHwDoXMWKoohEPA6XarRu3rwZg4ODGBwYAEQRS0tLmJ2dxdWrVznZiSXydUFvkkH476HnTSaT8IMA5VbVKEUikYBlWQgEImIQrYc8PXieh3yhgAczM9gxNgZZlkm3hdroteoasaJJpIkStBhi17xH18DaoVQuo16rQdM0TM/M4PadO5BlGf19fRgYHMThI0cQ13V+81+hBDe3RTHeCrZpQo/HoagqHNuGQLkPsiyTeBaIM46qaVDY6loQIHAczibl/rUghSGbwYfjWaYjJsuyVg3nmbgLVtu9Hp3Vu8zeD8Do5s0wDQMrudy6LV3WKarX66Qj1N+PgcFB9GSzKBSLWFpexvtXr6JQKPDClCf2Dgh3jVqdLOPxOFRNg2EYa0iR7HsTySRf6ynXahuS9fsk8EwmTN/3UavVcGtyEod27oSiqqStwqqfFi1XPwgabHh+7dd+DQcPHsS/+3f/Duffe68hwH75b/5NvHH6NP70f/5P/MEf/iEActI0TRO6rqO3r4+wRKtVVKpVPJychEB79gODg9i+Ywey2Sx830exUECpVEK5XEaxVCJthRbvybYspDIZyCEWKwsUmxJmBFGEZVkNyhrrITyzlemS+JqBPa3sJHaKlSRIsow43U/0AfT19sLzvLXECApRFJFJp5HJZtHf349kMok4XSUp5PNYWlrC3Xv3Gtiq4ednN8f1INDX07yfxUgBnu+j0iJZsgCLxeOQJAnlUgk1w9iwo3qEjx/VahXTc3PoS6fRk04TpiMt2ERRXHMSYeQxpuwSjuULFy82FKmtYhkgrNrBoSH09PTA9TzYlsVPRQDZyRwYHMRgfz8mtm3jo59CoYBKpYJSsYhiqdRyD9l1XYiCgEw2CzPkn+vTkY7vebAdB67noVypEC3jdRIxiw0Wz4JAlIpM01yjyQyQeGAdKVmSoGkaYpqGgH5+u/fswfXr19s+nx6PI5tOo6e3Fz09PYjrOmKxGCqVCpaWl3Hv7l2srKy0bGOzRN9NPPO4b2LVxuNxSLIM0zDW7KmHhdVTqRRc10WNJtUf17ZBOzyTCRMgQZYvFjG3vIz+TAapdBoxShrg+5LhFg11FWBt2//+3/879u/fj//l538e7124wJPYV77yFbxx+jTe/v73GwIMIBJYpmlCj8XQ09uLQqg1GQQB8oUC8oUC7ty5A4Coy2SzWSSTSQwND2PX7t2I6zrK1SrKpRIJvFKJG8bK9AIvFovEFNp1G6q/WCzW0ILZKAFIojefVgh8Hy5t5zAIoghZUaApCnbu2IEHDx+it6+PzI9EEcl4nKzepNPQ43FUq1VUazXU63VMz8ygkMutS6YJO8dvhLwgNp0s06kUPM9DpVJZXUgPJUtWsWcyGbiui2K5DNM0u5szRfhEwdrntx49wtHdu6GCXOuMRMPimSUVVjzKkgQb4LH88z//87hw8SJ/3E6x7DgOV/vp6+3FSi7XQA4zLQszMzOYmZkBQDo+6XQa6XQaqVQKw7t3I5PNkpNNuYxysYhytYq6YcBxXfhBAEVR4Ng2avU6T5QMqqYRpa+PiLYMWdCikhrMh9O5JMtQZBmjW7aQ92iaGBwYgEDXPdj7y2QyxMWpVIJpmlhYWMDiwgIqbbgIDc/v+5Bpt6rreBYa9cHj8ThUVUWtqfsTLpL9IODqXYVCAYZpPhPF7zObMIMgQKVSwYOZGfSm06hRhQcmBNBcmbKEKdGEOT09jR/88Id4/bXX8MYbb+DsmTP42S99CV/46Z/Gj86fx+/93u+teU7HthH4PqqVChLpNARBQJ6KHbSCYRjkFx4EPFFJkoRsNovevj6k02kMDg5CVVVosRgxPzVNGIaBeq0Gg1ZMRr0O0zQhKcoaceGNgBULTR8kAJIcNVVFTNeh0/9isRh0XUdPNgstFsO+vXuBIIBpWajUaqiUy8itrODO7dsol8uQFQXxRIK/h/UQTpYCI1Z08z5Ccx5RFJGmtmylUmm1qmXvK5QstVgMqqKgXKnApje6CM8GarUa4vE4Hi8uYnhggMzbdR3VWg1CECAQGlWfPM/jHSMWy6dPn8bp06fxzrvv4md+5mc6xrJt21A0DSsrKxgYGEB/Xx9yuVxbDoHneSgUCigUCg0np0QiQU5hlHErqypimgZZUUiBTUkohmnCpHFcp2pXTNf5o6yXsJ9tNoJnM31ZlhGLxRCLxRCPx6HrOjRNgx6PY2hgAI7n4Y033iAeopaFSrmMcrmMe/fuoZDPw7RtpJNJiKKIUrncVWyyQwojHq6bXOnr5dwESuDRNA11w2grYsDu65lMBkIQIF8swjTNZ4K498wmTIDsAqmqinszM9i1dStM00SMJh7Htht65LwqpW1JAPjDP/xDHD9+HH/1r/5VxGIx/MIv/AKuXb2K3/md32nZNnUdhw+YgyAgjvA00DqC7nOJdHfUdhzMLyxgemoKtXqdB6Cqqujt7YWu66SC0jRkMhkMDw8jFoshQdsUAchcwnNdeHSu6oeG/K7vExWkIMCJV14hrVZJIidsQQBodc7EHCSarBxqwGsYBgyWuOt1DA4O4tLFi1haWlptQQkCYpoGSZYBUUQ8mSQVteNsOFk2/FuXEEBuNCxZlsvlBus1AeBJmM1HMtksJFnGwvIySm3aaRGeDpgtlyiK6OvpQaVaRTqdRoKy0UVBIEmTnjQ914VKpeiCIMAf/Y//gRMvv7wayz//87h27VrbWHYcB5qqwnVdLC8tYWBgAH39/SRprtN1YLNT5ulZKpWQz+dhWRZMwyDrDpKEZDyOLHU/kmUZMU1DpqcH8VgMsXgcMU3jj+WG4pdxGlxKIPJC3aaTJ0/yOaWiqgh8H5IkkTimsSxJElyqcmQYBiyapCvlMmRZRi6fx8WLF2FZFvfyVRQFaizGbRS1WAxCB4Z7M/xg1QCe/X9ds/emv7Mi3TTNBqZrQB87CM20FUWBrusoVCowLavBc/hp4plOmADZnZRlGQM9PehNpcheDk04DrVwYknT97yGhefcygr+/Nvfxs/87M/il37pl3Dv7l38xm/+JmlLtqj6HBqkAHFDYC0+9Pcj10GKSRAE6IkEZEmCGwSwLIsTgpioAkCq3qWlJSRTKViWtSbxpNNpTutmA36pKVBENoMURQwND+PxzAxvbcXpnNcwTZ5sHcaWbTNv2L9vHxYWFjA7O9v4WTgOXMpMjtHWMwDku2DQhk9/DCI2ljAlSUKcMoDLlQoXUA/TzVlwCSDtqGQyiWKlgmq12nHxOsLTgeu6KBaLuD05iWP796NarSKVSiGVSKBSLvN1C6YNzQS3HcdBLpfDn/3ZnzXE8r/vFMuOA4WS6VzPw/LyMvpp0sznch33KBVFQSqV4iRAyzT5KIMx4306n3Q9D7KioFwqNYxDVFVFPB5HuVxuKGJZIcvmjyy+BVHEyKZNmHr0CJ7vE2s0QUCRdlU8zyOtYBrXraBpGvbs3YszTT69PpWsNE0TqqYhmUqRe4VhdKVTG7QgVAZBa3F7oLWqWDwe56t1rCsHrCZLn7xQfs9IZzKQFAULCwvI5/PPjErXM58wAXKTfjA1haFjx0g7VpKQiMdRYydNKuzsNlWlEBrl2r7xzW+uzvBasFtt20YsZA/G9jDTlDnWyhdSVVVodNhutmhVhtlsALl4HcuCRnfS1lz8lN0LSoro1Mw5duwYT3SSJMFOp1GrVhvo2Z2g6zrGx8c7ijL7ngcRRGLO832y3EyZuC1PcEHQ0F7h/9yG9NMquFRVRYIKIpTpzJL9JF8NanqO3p4eKKqKmZmZBrH9CM8WTNPE8soKlvJ5DPb0oFatIpFMIpFKoVKpkBaeJHHGqkQTJrsWGL7xzW/CpiztVkx1n7LMFbqS5noeOWkODqK/txe5QqEl2USPxSDQ5zfqdThN5uPN16ppGEjS01CtaSeY/d/1fQS2DbdDa9YLAhw5coTbbzHJxzArdD2FsT1792J6ZmaNS1PD50JPtNVqlZBq0mnYlkUchlrcL8InSwYmqNAKzfEsCAIStDvFultc9YsVH1htNbPH7+3rw0qhgFwu11FB7MeNZ8IPcz34vo/F5WU8XlyEHo+jToV5E8kkFFWFR2/SjFLNjINPnjyJX/zKV/hx/vOf/zyAVRZW8y/dYZZcIVSqVZQKBWi6jgE6QAfohZBIQNU0OK6LCiWZNJNbghYXOF+1aOHd2by31C04SSB0ca338/v278fko0cdW6zxRAKyoqBWq6FcLKJO22eJZHKNeW9AZ7nNQd0uwFolS13XkaDWPuVyeVXyzvcb1mmaxRt6+/uxksthucOeZ4RnA9VqFbfu3SPtfoEID8iyjBRNEp7ncWcaNsc8depUy1jmfqstri/HcaCGPGk938fS4iI83+ejEQaFFmmCKMI0DFQrlTW7n8Ba5R4/CGBbFhRaSLbDRueYfKWmy8dIpVIY3bQJt2/dav+YkoREIoEgCFAqFlEplbh1WTadXuMr6vt+ywQhAG3JheFXKEkS0pkMFEVBnZIFgSYiINbeA4aGhiCIIh48ePDMkfaei4QJkIv/6vXr8H0fiUQC9XqdJ01N0wBBgE1PPJIk4dDhw/jlX/5lzDx+jH/0j/4R5ubm8NZbb2FkZAQAuPRWWJ6JEROaUa3VUMjnEYvF0D8wAEVReAVYr9VQq1YbTk/hdYhWl3gAohgi05bT6hcaL8KNBJlIH6dbWbyenh4MDgxwxm8zBBAmo6qqZOBOL1zGGrRNkzDvUqlVpRRgzQ0GIMmc0d2bn4P/WRCQTCa5TVe5XF6zr9Z8qgRIshwbG4Pn+7hx8+YTu9NH+PFgJZfD5PQ0dF2HSJOUrChE9YVeTy5dxzi8TiwDaJk0DcNYE89+EGB5aQmB56Gnr6+BMOPQa7v5Jt3gjtMiUbD2bqxVAcx+dgOkN4AS+ELfv951feDgQdy5e7ctMUYURaRSKQRBQFbfaFwZ9To/xSZTKW6jxVql7R6rnYUfg0pZuQKACv1M2WcR3nBofoZMNoue3l48fvwYhWdQ//m5SZgAIQFdvXEDAq2U6oYB13URj8f5L9r1PGzfsQN/9+/+XRQKBfyrf/WvUKlU8Ed/9EeQJAm/8Au/wB9PEASIksSTZqVSQTqTafvc+VwOyXgcI5s2ASCVcjtiCQ+UNhedZVmA7zdUuc0ycBtKmC0u4k4/f+DAAdy6daut9q6iqtB0nTMBm2GaJuq1GkRZRiqVgkznRe1eG7CaMJtvG7wSpYofYUIAm98w2cPm1zgwMABN13Hr9u1obvkcIQgCXPrgA9TqdWiUHFOr1chJM5XibdmtW7fib/2tv4VcLtcxloHVpMmSWrlS4aSxMPwgINKMrovhoSGk0mlYpkksyNZjfraIqQDgvqsK7VC1fJQu45mvVnTJmB8YGEAqmcTDhw9bfp0VowHIPas5+fp0XctzXcKgX0dkpJ0jEkNzl4jdYxinw8PaRCkIAlKpFAaHhlCtVnHz9u313/hTwHOVMAHgzsOHmFtYgI9VRRfbsjjLdGhoCH/9r/91lEsl/J+//uvcuuvixYuYfPgQx44dw65duxoeU6Smy5ZlIfB96DT5NsPzfdTqdUiiiHgiwYOjHRg5pR0Mw4AkSYhp2urPND5A1+LNsig2zEM7DfPHxsagKgqmQlZHDY+lKIhTJZ96B91G13FQLpUAOguR2rSkJFnmxKPmFoyiqoSNDPC2NgBOKhDbfIaxWAypVArJdBoLS0uYpvt0EZ4f+L6Pi1QNSqFcgGqlAtCb5+bNm/G/f/WrKJbL+PrXv873ojvGMlXEQRCgVqkglUq1fG5BEMj+pOdBoyfbTlhvj9i2bfi0AG4o7Nr9uQNYHIXjuZPq1uHDh3H9+vW2s74EXR+ph1x9msGEz03TREzT1oxbwu+BbSWs/dLaLhFLrGxsBkFYk3REugOb7emB67q4fvPmMzW3DOO5S5gAcO7iRaysrMDzPEIOoSywoeFh/PIv/zIA4N//1m+RgTFd1veDgC83f/nLX17zmKIoAnTI3qoq1ej+VaVSwdTUFHzPQ39/P1ItvrcBHYLMoasjzL6m+YS53s83vP7mHcw2AaZpGg4ePIjLV660rBIlSqjyg6BjsgSIIg+CgJ8I2yVNSZLgMAWT0L/ruk6k7nyfV6JMeQgAJ3M1fwbxRIJUsYkEqrUabnaY20R4tvF4YQE37twhxSM1W6hVq+jp6SGxLAj45je+gVwuh0AgBvGe73eMZYBcO6VKpWV8CiDXEADMzs6iWCpB13UMDw+vmeM1P2anpGnU6xBFEbFYjBe6zYShbqJZZAkzZFnXDnv37EGlUlnDcmdIJBLcgaSTkxOT6LNME5ZpQtE0/hmFIUsSIVg2JbR2XSJWKEu0Q9RcyEuyjHQqRRjRioLpmRmsrLfG9xTxXLBkm2HaNi5cu4ZXjx1DilY0rutibnYW/+Jf/AuuIsEYd0FAtFivffABfvGv/bX2vXlB4FT3xaUl/u8yXa2wqexcEARYWlpCX18fMuk0NFXFSpu1k1bD+zDq9TpSqVTL2SnQmZEWft2gZIn1cPjwYUxNTbWcD0iShBTVaq3ROUcrcFEB+n+fij0kUykkkkkiGMBo41hbncuyjHgiQZi9ts1bYawCZTuYQCO5QJJlJBIJQnASRQgAHkxORlqxzzlu3r+PdDKJzcPDiMfjSKZSWJifx9e//nUiRiKKRLDEsiDJMnzPwwcffICvfOUrq1yEFqhWKmQtrAmJRIKcMGs1OI6DUqkE27bR29uLwaEh5HO5thJsjFDYCp7ncQZ8y+8RhK4KYKnZcagFCxggi/3j4+P47ve+1/JxmN5ttVrtuHvaHM+maQKCAFXT4FEtWwbeLg7da3RdR0zXEfg+KqzwZbwDQeD3WwFosHZje5k+FbMvlkp4MDnZ/oN5BvBcnjABoFAq4UM6tzIMg1R2tBXgui6S9BQCgCvNACAuFnSXqdVFXa1UkKE7hwx6PA7P83iyJA8TYGVlBdVqFbquY6hNdSqELphWoRIEAUxKAFIoa7DpAdatSsWmFk67gN60aROymQxutTiRsWQZgMxyO+1YtWK2Mf1fSZJ48g/rvDIFo3g8jlQ6TYqTSgXVSqXBNaJ5Vsnei67rhEQgECPZRCKBhVwO85SGH+H5xqXr11EolVClSYwRaGzbJnNN2rYHVq93tovLjBmaYVkWJ6+xRKUqCiEZmWYD/8AwDCwuLq7fOQqCjjvFhmkCvr9KANogOxYAVyvjaPEYoiji2LFjuH79esvkHo/H+epaKw4CA9thb7Uu47su9Hicd3oCkKLVp+MSWZaRyWYR03U4to1isUha08Gq1nf4cOLR55JkGelsFjEq8iKKIrwgwL0HD57ZVizDc5swAWB6bg4PZ2ZgWRaqlQrZw6RVEUAYVwk2wKb0c2YxIwAtg61SrSKVTJIbN8DJREZIsSeMUqmE3MoKFFnG4NAQ/34G1oZhj9cKTHxd0zRIHzHAgNWqr1UwK4qCQ4cO4fLly2suSlmSkEylOCmg3UXbXIk2g1WjKlUIEgSBt3BEUUSWSvCZhoECDa4w1lD4gwByKLgs00SlXEY6k0GtXsejR486fSwRniO4rosfvf8+TMsiUnOGQRb9ZRm245DVh2yWF6UshhFiczLLq/D1X61WkUmnieqVICAWi3FR81avYWlpCZZlIZNOo7+/f+0Lpd2cZiu6MOqGAUkgSlnNyU5gY4YOECVpNQbbPMfOnTthmiYeteAhsHU3y7JIkd/medh9qR3q9TogCFxARABN5q6LRCJBioogQLlcRoWqo7FitxVJz/d96PE4H3nVqlV4rot4MonZhYXnYn/6uU6YAHD9zh3MLizAp0PrWq3Ge+WiIHB6sxIKNGD19NMcbKVSiTNl2TzCcZyOOoaGaXJD5P7+/rVM29DKRbvL06jViBxdJ2p6G0iiyFcwhBarFwBw6OBBzM/NrZkPyFQhB0GACk2WrW4E7SrRNe+DLibr9JQpyzL0WAyarsPzfZRLJRKIoZat2OY9qrEYp6ZXq1UYhoHe3l74AKYfP45asS8YDNPE+fffh+d5sCyLKOlQGbkgCKBpGpLJZEMRLIRapKybwQphj6rxsNMiK2Y7GRC37ByFyH3sKhUEga+/NIOZLbTbzew0k2SJhiXMVvuOqVQKO7Zvx/vvv7/ma0lKRjRDWq3NkdWuS9QMz/dh0B1ZRnBUqV6trCgw6nViJOE4vBPWLglLsoxMJsML32q5DAgC+vv7sZTL4fHjx+u8mmcDz33CBIDL169jgS6sO46DYqlE2rSCwCnrieZAYzqkTcFmmiZsx4Gu65zdaVlWQ0u3FVzXxeLiIkzTRJrSo1tRzIU2SdMPAjJsl+VV8YQgAGgidH0fXhDADQJ4QQCPsU6DgFekPv13Pj+gGBocRP/AAK7fuNHwnLIsI5lKwQcaXUBC6BQEzd/H5hO2ZRHfQ11HOpuFIEmo12ooU+eWNY/b9NhaLIZMNguNGgCzn8tmsxBkGdOPH2MpNGOO8OKgUCrhvatXue4qK4ID3yddC6B1ERysGiCwQlgQBOTzeWTSae4u0uwQ1A6scyTLMoaGhvipqLmwa5c02cmugZtA49kHaU+yeHZpixO0+4Ug4J0vvoccem9HjxxpuUaVTCYh05hpN4PlilnrvH/2jpgudywWIzvvsRhc10WlUuEFaziWm+8TkiSRIocSiMrlMt8O6B8YwEqhgIcPH3YkJD1LeCESJgBc/OADLIVOT8zLkpECZFnm7QCWkARKQfdDFyQALC8tYWRkBJqqEl1Y2jIlP9S+FRMEAXK5HAqFAhRFweDQEDLZ7FrlG5o0mx/FNk0yAI/FOLuMvzb6MyLASTG8/UETJm89h6jbqqripZdewpX332+4KJn4gkcJO+F2M3td3QRXg/oODXy2G5vNZgFBQCkkQ9YpuLRYDNlsFvF4nJMxWOBnMhnIsRgez81Fc8sXHCuFAi598AFnYtqOQ7wZaWuW2VU1nDZFkRNSwvG5tLiIkZER4sEZBKgZRkMXJWiK/TAM08TiwgJsy0I6k8FQqAgOo1XSDChzX6QuQT5NgH6wamrP4jncYQmPV9gplsVKAGDnjh3wgTU7l8lkkp/6zBYEH1bQsvtHO4RZ6gF9vQKI0EkikYBlGCjk83zsxTpE7RJlOpOBLMuo1etEb5fqfQ8MDqJQqeD+w4fPhAtJt3hhEmYQBLhw7Rpy1BUcAOq1Giq1Gnzfh21Z8D2PJM1MBslEYlV9n66UsOBZXFjA0NAQIIpwQ0vzAa0KmQRcu9NmvV7H4vw8LNNEKpnE8NAQ1NCuJUCrYISSE3UvYFVjsmkvrJMogBgi1TSokggCXj5+HPMLC1gJnciYVqvneaiGdqXCnyVvlbZ5XgB8+M9JAIqCVCZDlqR9H77rol6rkf1WdJcoXdoWLxaL/PeYSqWg6Trm5uefm9ZNhCfDYi6HD27daiCysVON4zhwXZeLHGRpNwIA7x6xQtMwDFiWhb7eXiK3FzJzZtc52/ltda17noeVlRUU8nnIsozBkZGWzNtw0gzoCdG2LC49t97ONoMsyw0nyzAG+vuxc+dOXLl0id972MK/rCio1+trVIq4mw863+zZZxDQUzAzlOjp6SHuKK5LzOlZwUE/6+YOUXOiNOp15HI5mIbBZQwHBgdRrlafSem79fBcrpW0g+/7eO/aNbx69CiRbBMEuLYNQVVRNwwIAHS695jJZLghtWmaJDBpUlxcXMTRo0eJGEBTm1IE+AUSAHy+wpi47PTn+T5yuRx0XUcqlcLAwABqtRoXUgD9voBa/DACQxAEMGo1xBMJxONxnkDZibQ5qFlF6tLXEU5Gu3fvhizLuHH9Or+4Y7EYkQFzHNLqaq6MaSGwZmDPvi/U7mWFhEJ9Nhkdvk4/0ySV4rJse00rWqDt8hi1GXIcB2a1ShwZfJ+fFpKJBOKpFGbn5zE9Pb3OFRDhRcLjhQVIkoT9u3ZBEkVuvxeAtEx16gfJpO1My4JRr8OihgysTbtAC+BWpBLWlQGoqlSw6rEbXllh13Qmk0EqlUJM11EoFBrWNQRB4F0cNu83TZN0txIJeG3GHmFIVOGIPR6DFovhxIkTuHT5MrmXiSIkUSQrMiBzWafppMa1nZuegxUJvDvEiJD0HsbuEQAhJLIxkyzLcKrVliMaWZYR03UoioKAzj5N04QPoo7E7otDw8OoGAbuP3z4XHIQXqiECZBZ4vkrV/Da8eOIUxswVZYR13WUy2Xu58hMlHuoukS9XkedKn/4QYBSqYRMJoPcOnZWYYdwlkzCf67SU25vNotkIgFN11HK54nJLJtbsNNt6D3YlgVF06DSShXonDCbE/vg4CC2TUzg+9//PhdEjycSUKhfqNHMngtVojygQq1g3kIOtXsVVeVaoD5VQXLoa1VUlVTLTQGrqCpUVSVtcYEsohuU3CEKAi8aACCdSpFkubAQMWI/pZianYUsSdi9fTsCUYRFPXFVRVlVpqEmygn6n2XbqFYqsCwLoiBgaWkJ+/bvb2uLxSEIkEKdpnDCCSg/IJfLQVEU9PX18SK4VCoRYQ5asPrhZASSzFLpNJKJBDc1ZzuJrVRvHMdpKH4FUcQrJ05gcnKSz+4VRUEiHkcA0knzHKdhX5MXwszaL9x5Yn+gzyFQ8pROtaMBkigN01w1sJYkBPSkyTtzkgSNxrMoSauJ0jAQsDay55HnkSQMDg6iZpp48OBBR+LVs4wXLmECgO26ePfSJby0dy+G+vtRqdeRTqWg6zpp6dg2HNdF3TCg0VlImlaOhmGgUqkQp/bBQTx4+LCBLt0Ozaaq4RMVm21WqYJJuqcHiqahVCzyXTDu0kD+QkhLsgydijIwm63mpMl2tsIBFo/Hcfzll3HhwgWYlgVRFJGkTgy1Wg22bXPFDR+rtkHhaptVhOx7EHpelZ4MRSrHF65uWRJmFTD31NQ0qKpK2mW+D9OyiMEtDUi268VuaoODgwgEAY/n59tK+EX4dODB9DSq9ToO793LyT8aZa97nsfXUDRN44XwwMAAHMdBtVpFPp8nxaqm8Rt1p3hm/IBw9yX8/YZpYnZuDtlMBvFkEqKioFIqEbEPrAp1+EFARNd9H3VqYxZPJFYVtEIJjj8P1ha/+/btg+u63ChB13WoqgrX8/geM4tdZovGOmHs9YTBZ5kC0dKOhRKlZVkwTZPfH9gnoFLBCNdxoGoaNFXl7GF2CLFtm6/tiQAnJiYSCWR7elCqVDA5NdVgWfa84YVMmAA5pV368ENs3bwZ+3bsgGmaZJHXtslNOQhg2zY/Xao0ccbjcSQSCdi2jbEtW1al3sLtjfWCDY2zAwbLsjC/sIBEIoFkKgV9eBiGaaJcLHLpOD/Efq2Wy0im09B1nXgB0jmDKIqA75NWriDwPc6ABsCxl1/G7Tt3sLS0RBwg4nEEAhEKYLNO9h4kWgmGK+lmQpIIoi+rahonTHmeh2q1yo2dw+8fIFKCoiyvtnfo523bNqmg6WfK9+lA9jhVVUX/wACqhoGZx48ju64IAIDFlRW8e/Eiju7fDwQBEuk04vE4qjT5+L4PwzRhWhYqlQpiVHaxp6cHmUwG5UoFw0ND3B6sm3huG8s0kRaLRZSrVWQyGVIIp9OolMuoVqurSZPGs2XbEOp1qLEYZEUhc/1QV8ljXADP44nHDwKMbNqETZs24e2334bn+0jSlQ7btnniDb96VZZJS7epgOeFLMi8VVNVKJrGbQFNZnpP9Z7Z97J4Vum9M9vTw4t7o17nGrp8ThoiXnm+j/6+PsiahrmlJUxNTbU1q3he8MImTIap2VkUSiUcO3AA/X19iOk6p3yzFqAfBJwNy+YCmUwGoiBg565dWFlagmEYMC2Le/UBtJJs87z8xEaD0qMnQNd1US6VUKlUkEmnEU8moY+MoF6vo0a9JplpLkBmJ4lkEslEArVabXWXkxKVJNrCkejfDx8+DMs0cf/ePT7b8TyPeIiGgyF0Am4gQVDauwiyO6XSlotAPyvbtrmaEhA68VImsqIoUBQFvb29EGUZruPApOSH8A1CZO+BPW8QIJ1OI5FKYTmfx6OpqedyxhHhk4Nhmvjh5cvYt2MHdm3bxtv7tm2v7lf7Phy6h1mtVhHTNCRTKZimic2joygWizAMA3XThEtbn34onlshHCvhvUjX9wHTxDJtC6czGWSzWaRSKW5PJ0sSdzixLAsSNTYIiyyEEw1TL2JC5kePHsW5c+d4fIiCAJMSmYCQmEjoNUqSxHkRYbIdi2Um/uC6LurUvCLMTWDkHIWqj2l0Tmxb1tr4Dxr32QHqoylJ2DQ4CNNxMDk9jbm5uY/wG3/28MInTAAoV6s4e+ECjuzbh+0TE9BjMVRp8oGwup4R0KF/uVJBpVJBT28vBvr7US6VEIvHAd+HxdoPlkWc4FsM6BtALyaRBjFD4PsoFosolcvIZDJIJBKrBramyffFPNeFSWeujATEgozBdV1AELBr1y709/fj3XfeITRzOq8Mq3202gNlbRvP9yGIIuL0NMmC2HEcWJbFT5O8mpRlqLLMfT1ZAcE+x2Iux2c2rQKLt7wEAX39/fBACpyZmZnI1zJCW9y8fx/LhQJOHjlClHuoiQFbEwPAZ+GmZcGkSeHUqVNk6V6WkcpkOFegbhhwbRu246zGRpt4FgUBAV3j4oUzCLnHNE3EdJ2fOGVFQa1eJ5ZaNCEZtRrkVArJZJKrk4Wfi3mAxmIxvPbaa7hx4wbq9TphngdEnKVhpaPD6/R9H4qiNLB0fd8nCddxENARECt4VVrsKlQ+kH2/Isuo1WpYXFpqGL2sSZT0vhSPx5HKZFAolzE1Pc3vAS8CPhUJEyC/+MvXryNfLuPogQNI0BNb4Pv8dBYONj8I8OjhQ5w8dYqQhWwbejyOGHUnD4IADpWCsx0HnuvywG0ZbPSE1kxpF3wfxUIBZSr5NjAwgKHhYZTLZVTLZVg0WUmiCFVVEeg6acU0BdnExAQmJiZw/vx5rrLDEjsLimbbIZbENJbwmGZkQMx7TdNcnUuAMOEkWSYnSfr9AGknsVar4zhIJpNwHIfIZWFtYIUTZSadhhaPo1KrYXpmBrln2KkgwrOD5VwOf3H2LF4/cQK9PT2o0/agxJImK4Rp4qzWapibm0N/Xx+uvP8+9FgMejwOjRKGXM+DSxmhrufBpfHMTnthsMKQ/3sQcNEO0zBIgRuPo39gAFnaqapUKsRoPiAGzsl0GslkkvhQsuKQdqA0VcXrr7+Oqakp5FZWOI+hXqvxE26zahgbcchNBSwTMrHo6ZCdDCVJgqSqUGg8M1EIFvuWacKhRbum67DovYTNd8PPzRJlTNOQzmTgAphdXMT09PRz34JtxqcmYTJMTk/DMk2cOHoUCV1HtV7nF6zIkia9KAzTxNz8PHbs3ImrV67w9QhFUchsjgZdgs4APc+D73kkcdDk2SD0HmaqNZGCXM9DIZ+HSB+fMf5s6klZqVYhgNhz+UEAk66beJ6H0dFR7NmzB1euXOHU9jrTvg2xWllFKtMqUpZlPqNlr6FGVztEkATJ7IF4ywjkBOm6LhwqARY+DYqCwJ1dLNtekygZKSCbySCRSsFzXcwsLGB2dratOkmECK1gOQ7ePncOr7/8MoYGBsh16XkIKJNTlCQey77vY+bxY5w4cYI4eNRqqNZqkCWJk9hURUE6kyFMd9eFR3ejXbr36dIVsKBZLSgUYyx51ut1LC8uIpPNQgTQ29ODHprYmekAS5rlarWBLXvq1VexvLyMhYUFSLLMd0nJU4XuGyCJj7VO5XAR63l8jMTUwFRq2SWFzN4D+r0WFaNvVtzR43EIgkDGReF7QGiuG9M0ZOmJulSpYGpm5oXlHgidZKIEQVhfQ+o5xWB/P04ePQpQxiYHTWzs1Nnf14djx4/jO3/xF4RmHaw6cLDkqdCqTpFliJK06qZAiTmu58E0DNg0uTDdV4/+2aOzQwQBMtksLNOEadtcyUSWZdLOCamU1Go1/PQXvoBLFy/i0IEDuHrtGirVKuo04bE5hEjZqnIoQYZPuUyCLKBzB8dxIIQCyqPL3h67YbTSmg2dGJOJBNKZDPKFAj9hhpnD6UwG6XQakigiXyzi1p07nLjxPCMIgs406mcAL2o8i6KIl48cwejgIGrNJglBwE2lNVXFvn37YJgmrl27xmOdxYMsSZDpjE9VFHIKo1ZyANm59j0PDmXmcoIeI+wwDgCNb7ZnXCoWocVixFyZ6tk6tIMDELJb3TTx03/5L2NlaQmmZeHe3btwmIE77dAIogiRviZW8IaTGItlJsLAdsvD8e56HolnGstrjBZCsc3k6zzfx+LCwqqgAsCLd2ao4LguHk1P49H09Nr7w3OIdvH8qU2YANDf24sTL70Ejc4ammneAQjb86XDh1Gt1fDhhx+u/nCwql3JCCwCJeHIskyCjwYdW5ng7QlB4EkzLH/nex5vvzDCi+cTG51kPM6NaWVZhuO6OHDoEBzLwt27d4kIMlUlkmgghdsnAUBEEkJJku1XskB3PY8Tm1iCbAt2s6Hvh/xPwMDgIDzXxfzCApf3kmUZ8WSSiEnQXbrHc3N48AKti0QJ8+lClmUc2LMHO8bHUa/VuCA4By10BwcHcez4cXz7299ejcdQLAsAP6VJksTjmZ3kWBFqMZGAUNu3oRj2PLKnqGlkhsn2IUFObXosRuaKtIC1LQuHDx/GysoK7j94ACd0MmT3kPBYhZ0MA3oKDoMlNsMweJHLYr4lQgVvuP0cj8eRyWaxsrKCChVLZ/PVTDrNJTyLpRJu3rmD2gtE0osSZhukUim8tG8fhvr6UK/V+HqHEKrcBvr7ceTYMbxz5gxJrK0QCjo+rwRhmko04BzbhkgDhJ30WGITBQEQRcR1HRAEWKa5moxClbBKxQJ6enuRSqWwks8jl8txEhJrAfu+T6rHUIL0qSgDr4ppsmYBY9PKk70f/twhCJQo1e6zjMfjyOXzsG0biXgcsXgcqqJAAGDZNvL5PB7PzSH/HFj5bARRwnz6kCQJE1u3Yv/27XznmPMG6DWryDKOHjuGSqWCDz78sK30I78vhk5UrPiTQ6sbPH4liew2ShIXA5DpWpVpWasFaui1yFRVJ5lMomdgAIqiYHJyEka9DpdyF1jyDXeDPN9HEIplFs9sXY6hbpoNc1YAjfcT9vcWEGnx6zgOFhcXiThEIoGYrnNrs2qlgvmFBcwuLvL75ouCKGF2gKIoGN+yBXu2b4cQatEyFpwky9i/fz9S6TTeOXOGyGfRoFjPxYM8EEmmtt203M/aLKGAiycSkBUFlUoFQojqjSCApCiIaRo2b96MrePjkEQRV69dI44q9LEdusZhmibZqwolxPAydnivjJ1ATctaN5Aa31bAyQaxWAxDw8PwfB+WYUBWFAhBAJu2nox6HYVSCXMvYHABUcJ8lpDNZnFgzx4M9vTAoByFMKM1k83i5KlTuHzlCmZnZwFQjWNR7PCoqwgAeJSnwLsrLHGyP4siFKp1y5b6w4U0BAGqpiGZSGDf/v1wbBuZbBYfXLsGi+42ej5xSrLpfqkTegx+sgUaC2sK3/Ngr8fgb35fjGMAYGhkBDFdJ6bw9L0FQcBjuVqrYXF5GYUXiAEbRpQw14EgCOjp6cG+HTsw2Ne3SpoBuLTT6ddfx/ziIm7euNHgcMIu2FamqWE4dAbSCTGqj1koFnlAaKoKPRaDJMuYGB/HwOAgrl27hgIVmldVlbd5NdbqYc9JB/keJel4jMTQ3MbxPNjNbawmsOQr0X1LttOlxWLo6+2FGwQo5fOwbBumYaBWr8NzXfhBgMWVFRResFNlGFHCfLagaRq2jI5iz7ZtZB0spLMa+D62bN2K3bt34+w773D1n3A8h3Vk28GkrNFOyGazfOUkoPNUPRaDqmlIxOM4fPgwZh4/xsz0NCrVKtdk9jwPsqJAo+pYAGm1OpTp6nkeHNeFS9WOmn0zbdtu6aUZBuNjyIpCVkpoPLO5ZJWK3bMkycZEdcN4IU+VYUQJs0vE43GMbtqE7WNj0FSVLOnS5JJKpfD666/j0uXLmJ+ba2C/Cm1YsGElG9Ym9UOVYbOKiKaqiNOVF0mSuJycKAjYs2cPVFXFxQsXCJmgUoFt29BUFbFYjMiEVavw6IkvFoshpml8BgI0Kvjw+YbrtkzmYWavIIpQ6DyH/xv9PqaMtLC4uMZXs1ytYnFl5YUOLiBKmM8iRFFEb28vdo6PY6S/n+wThxLn0aNHoSgKLl66RJJB+F5IxduB1YK4uaPkui7ckEBA8/iCrU15rgvbcUiBqSiE/JZK4dDBg/jgww+RW1mBJMtchSiVSnGWPhdvp6x8xo9oLmwZB8GjKzHN8cY7TfTnwjNZ/lhBwBNnqVTC4tJSg7i847pYzudRfEFPlWFECXMDkCQJiUQCI8PDGN+8GQnqhOC6LsbGxrB7zx6cP38elXK55YXJA6jxC1wrlSXK5haQSGcan//c5/DGm2/iN37jN5Cne4nHjx9HuVrF+1euEAudRAK5fB5MnUelOppBEKBer8NxXezeuRP/5J/+U/w/3/oWvvvd767uaDFiUkhsoMFSqIm6zohBbDeN7VtKoogkDe58Pt+gzFOpVrGYy5FT66cAUcJ8dhGj9nETo6MYGRgge4ZUmP3Nt97C9PQ0V5Zq0I9FaOzQDMpyZ50doam7xPaWv/jFL+LUqVP4v//jf0SxWIRt29i8eTN27tyJCxcuIJ/LIZPJwLIswhanz59IJiFJEncL2blzJ/7J176Gb33rW/jed78LUZJ4HCuKwol+bL7oMH/c8EvGapHbsC5D/4vFYmQ/3TCQz+X4Z+G6LpYLhRe6Q9SMdvH8qdvD7Aae56FcLqNSqeDx7CxGR0YwPjqKVCqF5aUlsmpy9CiuXbuGarXK102A1XnBmk+bsVWb5gwiFQFQFIWfJAMQV496vY6BgQHs3bsXd+/eRTabxS/+4i9i06ZNGBocxMDAAN5991389u/8DmzKbtWpLZjjOLh77x4q5TKOHjuGP//zPyfCzLbNK2bufwd0ZsQ2QRQE6PE44tS8t1Qq8WRZrlaxTNuyESI8CzBNEwsLC8jn80in09g1Po6RwUF4noerV6/ilRMnEACYnZ0ljkUhJZ1w8dgAgTib+FQdi41vWCGqUDeeAKQ7wx732NGjZA+0UsEXvvAFjI6Ooq+vD5lsFhfOn8dv/87vwPd9VGs10rqlyfDBw4col8s4fvw4vvud7/CiFaCJXRB4Z4eT+bqESrtaWiyGmmFwL1rX80iiZPq7EaKE2Qls3/HO/fuYnp3F5pERjA0P4979+9i+fTtOnDiBmzdvolQuk4V/qk3ZCiJti0qUJcfYsixpMZNr9hiSJOHlEydQKhZx5uxZVKpVfP3Xfx1btm7F0tISypUKevr6VtdSQNZGKuUycTOggXbp0iW8/vrrSCSTPKn5dLeSJ84NBhdr9TquSxbAKxWUqlXkaAUdIcKzCNu2iRl0ocBPnMMDA3j/6lUcOnQI6XQak5OTfP7O1kXCYOIf4XUxURQhSRL3xwUA13Fg01hWVRUTExPo6+vDnTt38ODBA/z617+OrVu3olgoYGlxEb29vauMV5AWa90wYFG2eSIe57Gsx+M8lsMsWu4u5PtrWratIArU8o/ukFerVVQqFVSqVRRLJRSfY1eRTwpRwuwSBjU9fTA5CV3TsOXePZx8+WUcPngQ9+7dQ5ku7zrMOQSr7FN+6VImG5Oo8qlyiOs4nBIuyzL6+vrguS4ez8zg2rVrvCX0X//bfyMqIbUaNm/ahP/j136tYQcyoNUuY+Xpuo7r16/j+PHjOHz4MM6fOwc3aBJ7BoCwxm0QrHm9AE2UmgZBkqAqCgzLQj6fx+zCAkpRYEV4juB5HnK5HHK5HGRZRn9PDyanp/H5n/xJ7NmzB48ePUIyleKnOObg0RDPLDlR8g1zDPKo0heDrusAgEw6je9///uo00T33/7rf0WhUEC9XsfExAR+9Vd/lTwm60TRE6vneShXKojFYrhx/TqOHjmCI0eO4Ny5c6suIeF2MONEBAExbm5ixQegbiXs9EoL91Klgtm5OSzn85+aMcpHQZQwN4ggCFA3Tdy+fx+379/Hvvffx//6cz+HmK5jeWmJk3ocOvMMV318H5LOHcPIpNPYOj6OLaOjUFQVnu/j8ewsT5aB7+P27dtIJhKQJan1EnIoaTL7revXr6NuGNi/fz+uXbsGi55iQ2+oUcS5qTKVaaKUZBmSKMJ2XcwtLeHx7CzK1erH9KlGiPB04LouFpaXsbC8jPfefx//25e/jIlt27A4P498Pg9JFOF4HpemA5oUsuifw5AVBZtHRrB161ZsHh2FIAj4kMYhw61btyBJElLp9Fq1HZA2LpuNAqStfPXaNXz5K1/B3r17ce3aNdiOA9uyGjpEPtPG5g8kNDxm2JdWAFCipLy5+fnI8KALRAnzCXHz9m38X7/5mzh16hRePXEC1VIJ83Nz8On6BXc1adJb9UDcPjaPjGB8fBypVAqPpqZw5p138PlYDPv37SMXPmsL0aCQZJkIotPH4tJzrJKkAczCpFKpYGpqCocOHsT/oHJaQdDoTdlMjRfpKVJRVS6tZzkO5hYXsVIooFKpvHCiyhEi2LaN3/sv/wW7d+/Gm6dPY9+BA1hYWMDS4iIgCKTNGhIwZ2A7iqlUCuPj4xjbsgXFYhEPHz7E4NAQtk1MNPrqUhUgRVG4sAgj3DW3gMPJ1KjXMfnwIV566SX8wR/8AWKaRuz76AnXcRwihN5c9FLHElmSIMkyAt9HoVTCUqGAUqlETCg2MJb5NCNKmB8DKpUK/uIv/gJnz57F0aNH8ZnTp8lpzDTh2DYsy0K9VoMgitB1HclEAslkEpquI5fL4cGDB0RKLpRUBUGAQlc4BACg1SEzjAZCVPYws08QIDatqly+fBnHjh3D6Ogo7ty+TRzTqRk0M65lu6ZMBoxJ+dUNg6gJFQrEMPoFXw+J8OlGEAS4ffs2bt++jbGxMbxx+jSOHD8Oo1YjsWzbMOt1WLaNmKYRWz6q+ewHAaampnDmzJnV3U5qsSXLMiRBIL641BkkFotxM/Ug1FINQwS4EwoAXLp8GUePHcOWLVtw88YNbuqux+NQaEfLd10IIc1ZCAJcauuVK5extLKCCt2xjBLlxhAlzI8RlmXhRz/6Ed577z0MDAygp6cHvb29GBoYQP/AAESq1VqpVFCtVlEoFIiJbYvHYmy7sIyVpmktRQeawSpeljSvXr0K3/dx9Ngx3Lh+nbSKRZGITKsqFEWB47owHAf1cpmQmGo1LnpgUQZuhAifJszMzOD//f3fRzKZRH9/P7LZLAYGBjDY349EKgXfcVAolTC/sIASNYVvlYAUVQVAjZ3p1zVNIxKYYeOHVqDqQcxCqzmWLaroJdGVMU1VEUgSTNtG1TBQqdVQpsmRzVfXfc4IbRElzE8Avu9jcXERi4uLDf/OzFxjmoa+3l5kk0liLUQTo0vFA3zKrPODAAp1lNd1HYIgdLTACocq2530ggDlchl37tzB/n37ENN1BCC6rpV6HZWVFZTKZVhUTi9KjBEiNKJaraLaNK8XRREa7dSkUyn0pNNIUt1kSZbhU1F0PwggArAdB1osBrtchkC9bdcrfsM7oALIDne5XMbdO3dw8MABaLEYBFHkvryFSgWFcpnbgTEv2wgfH6KE+WMEY91Vq1Xk8nnuhK7HYtg0NEQUPADYngfDsiDJMnp7euA4DmRZJv6SogiFynbVTROu6/JZI98BpWw7RjSyHAdaPA6LKnUsrKzw1xIFVYQIG4fv+zAMAwbdW5ynHrOKomCgtxeZdJqMTzwPVcNAAMKY1TSNP0atViNG7AAMOu5Q6dfDTkMiJfl5vg/HdaHEYjBsG6VKBflSCWW60saYuhE+OUQJ8ymBCRmbpolKpYKl5WWSDBUFX/B9TOzejau3bsE0TeiaxhV82P7XwMgINF2HL8tYzOdJQFECgWvbsKjGJDOY/onPfQ7/+l//a9y6d+9pv/UIEV44hIUESlQRR1EUfOFLX8LE7t24ce8eSqUSUqkUNEWBYRhE9EAQ0D8yAjWVgi/LWMrnuQsJk7kzqNuJ53nYvHkzPvO5z+Hf/Jt/gw9u3Xqab/lTiShhPkPwqTsBQPQkGcO1GYIgYHjTJmzbtQvnL13CvQcPOj7uT/3UT0FVVfzpn/7pJ/K6I0SIsBYsgSaTSdRqNe6M0oxNo6PYvnMnzl+4gLsPHnTs+PyNv/E3EIvFolh+SujOzybCMwUWUGzpeD186UtfwtzcHC5evPhJv7QIESJ8BLCRynrjkSiWny6iE+ZzhC996Uv4K3/lrwAAhoeHAQCnTp3Ct771LQDAysoKUQwJoaenB6+//jq++c1v/lhfa4QIEdojiuXnE1HCfI7w0ksv4atf/WrDv23fvh3bt28HADx69GhNkH3xi1+ELMv4kz/5kx/Xy4wQIcI6iGL5+UTUkn2O8M//+T9fZc+1+G9iYmLNz3zpS19CpVLB22+//RRecYQIEVohiuXnE1HCfIGhaRo+//nP49vf/nbkIhIhwnOMKJafDUQJ8wXG4cOHcf/+ffz+7//+034pESJEeAJEsfxsIJphvsC4cOECjhw58rRfRoQIEZ4QUSw/G4hOmM8gzpw5g3/2z/4ZipHTeYQIzzWiWH6xIHTa+xEEIdJMixChCwRBsP5C7FNGFM8RInSHdvEcnTAjRIgQIUKELhAlzAgRIkSIEKELRAkzQoQIESJE6AJRwowQIUKECBG6QJQwI0SIECFChC4QJcwIESJEiBChC0QJM0KECBEiROgCUcKMECFChAgRukCUMCNEiBAhQoQuECXMCBEiRIgQoQtECTNChAgRIkToAh21ZCNEiBAhQoQIBNEJM0KECBEiROgCUcKMECFChAgRukCUMCNEiBAhQoQuECXMCBEiRIgQoQtECTNChAgRIkToAlHCjBAhQoQIEbrA/w8ViZydIUlQxQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Plot Vector in Bloch Sphere\n",
    "plot_bloch_multivector(statevec) #This is how a bloch sphere looks at the \"beginning\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Plot histogram\n",
    "plot_histogram([counts], legend=[\"output\"]) #This is how the meassure looks at the \"beginning\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Grid Search \n",
    "# apply the layer of Hadamard gates to all qubits\n",
    "cs.h(0)\n",
    "cs.h(1)\n",
    "cs.barrier()\n",
    "\n",
    "# apply the Ising type gates with angle gamma along the edges in E\n",
    "for edge in E:\n",
    "    k = edge[0]\n",
    "    l = edge[1]\n",
    "    cs.cp(-2*gamma, k, l)\n",
    "    cs.p(gamma, k)\n",
    "    cs.p(gamma, l)\n",
    "    \n",
    "# then apply the single qubit X rotations with angle beta to all qubits\n",
    "cs.barrier()\n",
    "cs.rx(2*beta, range(2))\n",
    "\n",
    "# Finally measure the result in the computational basis\n",
    "cs.barrier()\n",
    "cs.measure(range(len(V)),range(len(V)))\n",
    "\n",
    "### draw the circuit for comparison\n",
    "cs.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Grid Search"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
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   "source": [
    "# Generate a butterfly graph with n nodes \n",
    "n     = 2\n",
    "V     = np.arange(0,n,1)\n",
    "E     = [(0,1,1.0),(0,2,1.0)] #,(1,2,1.0),(3,2,1.0),(3,4,1.0),(4,2,1.0)] \n",
    "\n",
    "G     = nx.Graph()\n",
    "G.add_nodes_from(V)\n",
    "G.add_weighted_edges_from(E)\n",
    "\n",
    "# Generate plot of the Graph\n",
    "colors       = ['r' for node in G.nodes()]\n",
    "default_axes = plt.axes(frameon=True)\n",
    "pos          = nx.spring_layout(G)\n",
    "\n",
    "nx.draw_networkx(G, node_color=colors, node_size=600, alpha=1, ax=default_axes, pos=pos)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
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      "\n",
      " --- OPTIMAL PARAMETERS --- \n",
      "\n",
      "The maximal expectation value is:  M1 = 3.431\n",
      "This is attained for gamma = 1.900 and beta = 0.200\n"
     ]
    }
   ],
   "source": [
    "# Evaluate the function\n",
    "step_size   = 0.1;\n",
    "a_gamma         = np.arange(0, np.pi, step_size)\n",
    "a_beta          = np.arange(0, np.pi, step_size)\n",
    "a_gamma, a_beta = np.meshgrid(a_gamma,a_beta)\n",
    "\n",
    "F1 = 3-(np.sin(2*a_beta)**2*np.sin(2*a_gamma)**2-0.5*np.sin(4*a_beta)*np.sin(4*a_gamma))*(1+np.cos(4*a_gamma)**2)\n",
    "\n",
    "# Grid search for the minimizing variables\n",
    "result = np.where(F1 == np.amax(F1))\n",
    "a      = list(zip(result[0],result[1]))[0]\n",
    "gamma  = a[0]*step_size;\n",
    "beta   = a[1]*step_size;\n",
    "\n",
    "# Plot the expetation value F1\n",
    "fig = plt.figure()\n",
    "ax  = fig.gca(projection='3d')\n",
    "\n",
    "surf = ax.plot_surface(a_gamma, a_beta, F1, cmap=cm.coolwarm, linewidth=0, antialiased=True)\n",
    "\n",
    "ax.set_zlim(1,4)\n",
    "ax.zaxis.set_major_locator(LinearLocator(3))\n",
    "ax.zaxis.set_major_formatter(FormatStrFormatter('%.02f'))\n",
    "\n",
    "plt.show()\n",
    "\n",
    "#The smallest parameters and the expectation can be extracted\n",
    "print('\\n --- OPTIMAL PARAMETERS --- \\n')\n",
    "print('The maximal expectation value is:  M1 = %.03f' % np.amax(F1))\n",
    "print('This is attained for gamma = %.03f and beta = %.03f' % (gamma,beta))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0 1]\n"
     ]
    }
   ],
   "source": [
    "print(V)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
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       "<pre style=\"word-wrap: normal;white-space: pre;background: #fff0;line-height: 1.1;font-family: &quot;Courier New&quot;,Courier,monospace\">     ┌───┐ ░            ┌────────┐           ┌────────┐                     »\n",
       "q_0: ┤ H ├─░──────■─────┤ P(1.9) ├─────■─────┤ P(1.9) ├─────────────────────»\n",
       "     ├───┤ ░ ┌────┴────┐├────────┤     │     └────────┘           ┌────────┐»\n",
       "q_1: ┤ H ├─░─┤ P(-3.8) ├┤ P(1.9) ├─────┼────────────────────■─────┤ P(1.9) ├»\n",
       "     ├───┤ ░ └─────────┘└────────┘┌────┴────┐┌────────┐┌────┴────┐├────────┤»\n",
       "q_2: ┤ H ├─░──────────────────────┤ P(-3.8) ├┤ P(1.9) ├┤ P(-3.8) ├┤ P(1.9) ├»\n",
       "     ├───┤ ░                      └─────────┘└────────┘└─────────┘└────────┘»\n",
       "q_3: ┤ H ├─░────────────────────────────────────────────────────────────────»\n",
       "     ├───┤ ░                                                                »\n",
       "q_4: ┤ H ├─░────────────────────────────────────────────────────────────────»\n",
       "     └───┘ ░                                                                »\n",
       "c: 5/═══════════════════════════════════════════════════════════════════════»\n",
       "                                                                            »\n",
       "«                                                                     ░ »\n",
       "«q_0: ────────────────────────────────────────────────────────────────░─»\n",
       "«                                                                     ░ »\n",
       "«q_1: ────────────────────────────────────────────────────────────────░─»\n",
       "«     ┌─────────┐┌────────┐                     ┌─────────┐┌────────┐ ░ »\n",
       "«q_2: ┤ P(-3.8) ├┤ P(1.9) ├─────────────────────┤ P(-3.8) ├┤ P(1.9) ├─░─»\n",
       "«     └────┬────┘├────────┤           ┌────────┐└────┬────┘└────────┘ ░ »\n",
       "«q_3: ─────■─────┤ P(1.9) ├─────■─────┤ P(1.9) ├─────┼────────────────░─»\n",
       "«                └────────┘┌────┴────┐├────────┤     │     ┌────────┐ ░ »\n",
       "«q_4: ─────────────────────┤ P(-3.8) ├┤ P(1.9) ├─────■─────┤ P(1.9) ├─░─»\n",
       "«                          └─────────┘└────────┘           └────────┘ ░ »\n",
       "«c: 5/══════════════════════════════════════════════════════════════════»\n",
       "«                                                                       »\n",
       "«     ┌─────────┐ ░ ┌─┐            \n",
       "«q_0: ┤ RX(0.4) ├─░─┤M├────────────\n",
       "«     ├─────────┤ ░ └╥┘┌─┐         \n",
       "«q_1: ┤ RX(0.4) ├─░──╫─┤M├─────────\n",
       "«     ├─────────┤ ░  ║ └╥┘┌─┐      \n",
       "«q_2: ┤ RX(0.4) ├─░──╫──╫─┤M├──────\n",
       "«     ├─────────┤ ░  ║  ║ └╥┘┌─┐   \n",
       "«q_3: ┤ RX(0.4) ├─░──╫──╫──╫─┤M├───\n",
       "«     ├─────────┤ ░  ║  ║  ║ └╥┘┌─┐\n",
       "«q_4: ┤ RX(0.4) ├─░──╫──╫──╫──╫─┤M├\n",
       "«     └─────────┘ ░  ║  ║  ║  ║ └╥┘\n",
       "«c: 5/═══════════════╩══╩══╩══╩══╩═\n",
       "«                    0  1  2  3  4 </pre>"
      ],
      "text/plain": [
       "     ┌───┐ ░            ┌────────┐           ┌────────┐                     »\n",
       "q_0: ┤ H ├─░──────■─────┤ P(1.9) ├─────■─────┤ P(1.9) ├─────────────────────»\n",
       "     ├───┤ ░ ┌────┴────┐├────────┤     │     └────────┘           ┌────────┐»\n",
       "q_1: ┤ H ├─░─┤ P(-3.8) ├┤ P(1.9) ├─────┼────────────────────■─────┤ P(1.9) ├»\n",
       "     ├───┤ ░ └─────────┘└────────┘┌────┴────┐┌────────┐┌────┴────┐├────────┤»\n",
       "q_2: ┤ H ├─░──────────────────────┤ P(-3.8) ├┤ P(1.9) ├┤ P(-3.8) ├┤ P(1.9) ├»\n",
       "     ├───┤ ░                      └─────────┘└────────┘└─────────┘└────────┘»\n",
       "q_3: ┤ H ├─░────────────────────────────────────────────────────────────────»\n",
       "     ├───┤ ░                                                                »\n",
       "q_4: ┤ H ├─░────────────────────────────────────────────────────────────────»\n",
       "     └───┘ ░                                                                »\n",
       "c: 5/═══════════════════════════════════════════════════════════════════════»\n",
       "                                                                            »\n",
       "«                                                                     ░ »\n",
       "«q_0: ────────────────────────────────────────────────────────────────░─»\n",
       "«                                                                     ░ »\n",
       "«q_1: ────────────────────────────────────────────────────────────────░─»\n",
       "«     ┌─────────┐┌────────┐                     ┌─────────┐┌────────┐ ░ »\n",
       "«q_2: ┤ P(-3.8) ├┤ P(1.9) ├─────────────────────┤ P(-3.8) ├┤ P(1.9) ├─░─»\n",
       "«     └────┬────┘├────────┤           ┌────────┐└────┬────┘└────────┘ ░ »\n",
       "«q_3: ─────■─────┤ P(1.9) ├─────■─────┤ P(1.9) ├─────┼────────────────░─»\n",
       "«                └────────┘┌────┴────┐├────────┤     │     ┌────────┐ ░ »\n",
       "«q_4: ─────────────────────┤ P(-3.8) ├┤ P(1.9) ├─────■─────┤ P(1.9) ├─░─»\n",
       "«                          └─────────┘└────────┘           └────────┘ ░ »\n",
       "«c: 5/══════════════════════════════════════════════════════════════════»\n",
       "«                                                                       »\n",
       "«     ┌─────────┐ ░ ┌─┐            \n",
       "«q_0: ┤ RX(0.4) ├─░─┤M├────────────\n",
       "«     ├─────────┤ ░ └╥┘┌─┐         \n",
       "«q_1: ┤ RX(0.4) ├─░──╫─┤M├─────────\n",
       "«     ├─────────┤ ░  ║ └╥┘┌─┐      \n",
       "«q_2: ┤ RX(0.4) ├─░──╫──╫─┤M├──────\n",
       "«     ├─────────┤ ░  ║  ║ └╥┘┌─┐   \n",
       "«q_3: ┤ RX(0.4) ├─░──╫──╫──╫─┤M├───\n",
       "«     ├─────────┤ ░  ║  ║  ║ └╥┘┌─┐\n",
       "«q_4: ┤ RX(0.4) ├─░──╫──╫──╫──╫─┤M├\n",
       "«     └─────────┘ ░  ║  ║  ║  ║ └╥┘\n",
       "«c: 5/═══════════════╩══╩══╩══╩══╩═\n",
       "«                    0  1  2  3  4 "
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "QAOA = QuantumCircuit(len(V), len(V))\n",
    "\n",
    "# apply the layer of Hadamard gates to all qubits\n",
    "QAOA.h(range(len(V)))\n",
    "QAOA.barrier()\n",
    "\n",
    "# apply the Ising type gates with angle gamma along the edges in E\n",
    "for edge in E:\n",
    "    k = edge[0]\n",
    "    l = edge[1]\n",
    "    QAOA.cp(-2*gamma, k, l)\n",
    "    QAOA.p(gamma, k)\n",
    "    QAOA.p(gamma, l)\n",
    "    \n",
    "# then apply the single qubit X rotations with angle beta to all qubits\n",
    "QAOA.barrier()\n",
    "QAOA.rx(2*beta, range(len(V)))\n",
    "\n",
    "# Finally measure the result in the computational basis\n",
    "QAOA.barrier()\n",
    "QAOA.measure(range(len(V)),range(len(V)))\n",
    "\n",
    "### draw the circuit for comparison\n",
    "QAOA.draw()"
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  }
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