{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "911d3c9e-2759-450d-9d71-e65d3f33e382",
   "metadata": {},
   "source": [
    "# IBM Dynamical Decoupling Optimizations with Superstaq - Comparison"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "alternate-observer",
   "metadata": {},
   "source": [
    "[![Open in Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/Infleqtion/client-superstaq/blob/main/docs/source/optimizations/ibm/ibmq_dd.ipynb) [![Launch Binder](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/gh/Infleqtion/client-superstaq/HEAD?labpath=docs/source/optimizations/ibm/ibmq_dd.ipynb)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ee5db276-d951-4fe0-b5f3-194ba3c9f865",
   "metadata": {},
   "source": [
    "[Dynamical decoupling (DD)](https://arxiv.org/abs/quant-ph/9803057) is an error mitigation technique used to suppress noise added to computation from system-environment interaction (i.e. decoherence error). DD is implemented during algorithm execution by adding special gate sequences that are equal to the identity operation in periods of qubit idling. Examples of DD sequences include XX, XY4, XY8, and UDD, among others.\n",
    "\n",
    "Below is a brief tutorial on Superstaq dynamical decoupling optimizations for the IBM family of superconducting quantum devices. In the example, the CPMG sequence, XX, will be used. CPMG, referred to as `dynamic` is our default DD strategy.\n",
    "\n",
    "Many [research articles](https://arxiv.org/abs/2207.03670) can be found that describe the variations and benefits of DD. For more information about IBM Quantum, visit their website [here](https://quantum-computing.ibm.com/).\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b5d2667f",
   "metadata": {},
   "source": [
    "## Imports and API Token\n",
    "\n",
    "This example tutorial notebook uses `qiskit-superstaq`, our Superstaq client for Qiskit; you can try it out by running `pip install qiskit-superstaq`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "da53d8e7-3fd6-43fc-accb-a97fa4511927",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Required Superstaq imports\n",
    "try:\n",
    "    import qiskit\n",
    "    import qiskit_ibm_provider\n",
    "    import qiskit_superstaq as qss\n",
    "except ImportError:\n",
    "    print(\"Installing qiskit-superstaq...\")\n",
    "    %pip install --quiet 'qiskit-superstaq[examples] qiskit-ibm-provider'\n",
    "    print(\"Installed qiskit-superstaq.\")\n",
    "    print(\"You may need to restart the kernel to import newly installed packages.\")\n",
    "    import qiskit\n",
    "    import qiskit_ibm_provider\n",
    "    import qiskit_superstaq as qss"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cf7190af-16a0-4dc7-a5b3-c893c950b8b2",
   "metadata": {},
   "source": [
    "To interface Superstaq via Qiskit, we must first instantiate a provider in `qiskit-superstaq` with `SuperstaqProvider()`. We then supply a Superstaq API token (or key) by either providing the API token as an argument of `qss.SuperstaqProvider()` or by setting it as an environment variable (see more details [here](https://superstaq.readthedocs.io/en/latest/get_started/basics/basics_qss.html#Set-up-access-to-Superstaq%E2%80%99s-API))."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "dfa13fec-7580-4d74-9c67-b997fe690b5e",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Get the qiskit superstaq provider for Superstaq backend\n",
    "# Provide your api key to the using the \"api_key\" argument if\n",
    "# SUPERSTAQ_API_KEY environment variable is not set.\n",
    "provider = qss.SuperstaqProvider()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "57f3a373",
   "metadata": {},
   "source": [
    "This notebook will target IBM's 16-qubit Guadalupe device."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "672338e8",
   "metadata": {},
   "outputs": [],
   "source": [
    "backend = provider.get_backend(\"ibmq_guadalupe_qpu\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e1369266",
   "metadata": {},
   "source": [
    "To submit jobs to the IBM machine, we will use an `IBMProvider`. This will require `qiskit-ibm-provider` and an accout on [IBM Quantum](https://quantum-computing.ibm.com/)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "fefb265c",
   "metadata": {},
   "outputs": [],
   "source": [
    "ibm_provider = qiskit_ibm_provider.IBMProvider()\n",
    "ibm_backend = ibm_provider.get_backend(\"ibmq_guadalupe\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1d4afff7",
   "metadata": {},
   "source": [
    "## Example 1: Circuit Compilation and DD Optimization with Superstaq\n",
    "\n",
    "We will start by creating a circuit generator using Qiskit. In this example, we will use the Bernstein Vazirani (BV) algorithm to find the secret string of all ones ( i.e. '11...1'):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "59605e80-288f-473b-9b63-0bcf4ea2d759",
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_bv(circuit_width: int) -> qiskit.QuantumCircuit:\n",
    "    qc = qiskit.QuantumCircuit(circuit_width, circuit_width - 1)\n",
    "\n",
    "    for i in range(circuit_width - 1):\n",
    "        qc.h(i)\n",
    "    qc.x(circuit_width - 1)\n",
    "    qc.h(circuit_width - 1)\n",
    "\n",
    "    for i in range(circuit_width - 1):\n",
    "        qc.cx(i, circuit_width - 1)\n",
    "    qc.barrier()\n",
    "\n",
    "    for i in range(circuit_width):\n",
    "        qc.h(i)\n",
    "\n",
    "    for i in range(circuit_width - 1):\n",
    "        qc.measure(i, i)\n",
    "\n",
    "    return qc"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2a80df6f",
   "metadata": {},
   "source": [
    "We can draw the circuit using `qiskit`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "08157528",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 956.385x451.5 with 1 Axes>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc_4 = create_bv(4)\n",
    "qc_4.draw(\"mpl\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c4841dfe",
   "metadata": {},
   "source": [
    "Next, we will compile the logical circuit with Qiskit. Qiskit compilation will serve as a baseline that we use to evaluate Superstaq's performance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "7fbd62b6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1278.13x451.5 with 1 Axes>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qiskit_qc_4_optimized = qiskit.transpile(qc_4, ibm_backend, optimization_level=3)\n",
    "qiskit_qc_4_optimized.draw(\"mpl\", fold=-1, idle_wires=False, justify=\"right\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c6b5c311",
   "metadata": {},
   "source": [
    "Superstaq compilation transforms the circuit so that it uses optimized instructions. To implement error mitigation with default `dynamic` DD, we add additional XX gates to the circuit. These are CPMG DD sequences."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "f2363ead",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 3482.95x451.5 with 1 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ss_qc_4_optimized = backend.compile(qc_4, dynamical_decoupling=True)\n",
    "ss_qc_4_optimized.pulse_gate_circuit.draw(\"mpl\", fold=-1, idle_wires=False, justify=\"right\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "893e5e00",
   "metadata": {},
   "source": [
    "## Example 2: Real Quantum Machine Results"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7fcffe94",
   "metadata": {},
   "source": [
    "Here, we will show how Superstaq compares to Qiskit's `optimization_level = 3` on modestly sized circuits. First, let's create a seven-qubit BV benchmark:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "0a10d1a1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1458.05x702.333 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc_7 = create_bv(7)\n",
    "qc_7.draw(\"mpl\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "212e063b",
   "metadata": {},
   "source": [
    "Qiskit `optimization_level = 3` transpilation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "75edbab5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2898.4x702.333 with 1 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qiskit_qc_7_optimized = qiskit.transpile(qc_7, ibm_backend, optimization_level=3)\n",
    "qiskit_qc_7_optimized.draw(\"mpl\", fold=-1, idle_wires=False, justify=\"right\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "29fa4c30",
   "metadata": {},
   "source": [
    "Superstaq optimized compilation with `dynamic` DD:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "aa06e8b7",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 9670.17x702.333 with 1 Axes>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ss_qc_7_optimized = backend.compile(qc_7, dynamical_decoupling=True)\n",
    "ss_qc_7_optimized.pulse_gate_circuit.draw(\"mpl\", fold=-1, idle_wires=False, justify=\"right\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e4f3987",
   "metadata": {},
   "source": [
    "Finally, circuit execution on IBM Guadalupe:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "cdec8d49",
   "metadata": {},
   "outputs": [],
   "source": [
    "job_7 = ibm_backend.run([ss_qc_7_optimized.pulse_gate_circuit, qiskit_qc_7_optimized], shots=4000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "63991231",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x500 with 1 Axes>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "counts_7 = job_7.result().get_counts()\n",
    "qiskit.visualization.plot_histogram(\n",
    "    counts_7, legend=[\"ss-dd\", \"qiskit\"], number_to_keep=10, figsize=(11, 5)\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "49b0961d",
   "metadata": {},
   "source": [
    "The correct answer is '111111,' and we can see that Superstaq offers dramatic improvements! More than 3.1x in terms of probability of success and about 6.5x in terms of relative strength.\n",
    "\n",
    "Let's try again with nine qubits!\n",
    "\n",
    "First, create:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "268ff015",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1792.5x869.556 with 1 Axes>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc_9 = create_bv(9)\n",
    "qc_9.draw(\"mpl\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "acc53b6a",
   "metadata": {},
   "source": [
    "Second, Qiskit transpile:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "8928150e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 3619.24x869.556 with 1 Axes>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qiskit_qc_9_optimized = qiskit.transpile(qc_9, ibm_backend, optimization_level=3)\n",
    "qiskit_qc_9_optimized.draw(\"mpl\", fold=-1, idle_wires=False, justify=\"right\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "58955f0a",
   "metadata": {},
   "source": [
    "Third, Superstaq optimize with DD:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "d4ee7c31",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 12931x869.556 with 1 Axes>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ss_qc_9_optimized = backend.compile(qc_9, dynamical_decoupling=True)\n",
    "ss_qc_9_optimized.pulse_gate_circuit.draw(\"mpl\", fold=-1, idle_wires=False, justify=\"right\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0df82db7",
   "metadata": {},
   "source": [
    "Last, real machine run."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "6b15b989",
   "metadata": {},
   "outputs": [],
   "source": [
    "job_9 = ibm_backend.run([ss_qc_9_optimized.pulse_gate_circuit, qiskit_qc_9_optimized], shots=4000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "97d41257",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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TJ/X777+rcOHCatSokYoUKaLmzZtr7dq1jj7r169XaGioo2AhSW3atJHNZtPvv/+eazkAgKfLMyMtQkJC0lxnKF0paFzNbrfr/vvv15IlS9SgQQN17txZUVFRmj59upYvX+50/V+q8ePHa9SoUYqMjNTTTz+tc+fOac6cOWrUqJGWL1+uxo0b52BmAAAAyG1z5szRli1btHHjxjTL/v77b0nS2LFj9c4776hWrVr6/PPP1bp1a+3cuVPly5dXTEyMChcu7LSet7e3ChYsqJiYmFzJAQDygjxTtAgNDdXYsWNv2G/WrFlasmSJevTooS+//FKWZUmSPv74Yw0YMECjRo3SJ5984ugfFRWlsWPHqkKFCvrjjz8UEhIiSXrmmWfUoEED9e/fXzt37nS6fhEAAACe68iRI3ruuee0bNky+fv7p1lut9slSU899ZT69esnSapdu7aWL1+uzz77TG+88UauxgsAedlt90l72rRpkqQ33njDUbCQrrzplClTRl9++aXTrM8zZsxQcnKyRo4c6ShYSFKtWrXUo0cP7d6922koIAAAADzb5s2bdfLkSdWpU0fe3t7y9vbW6tWr9e9//1ve3t4qUqSIJKlKlSpO61WuXFmHDx+WJBUtWjTNpcfJyck6c+aMihYtmjuJAEAekGeKFomJiZo5c6YmTJigqVOnpnut4KVLl/T777+rYsWKioyMdFpmWZbuvvtunT9/Xps2bXK0r1q1SpLUtm3bNNtr166dJGn16tXZmAkAAABcqXXr1vrzzz+1bds2x0/dunXVs2dPbdu2TWXKlFFERIT27NnjtN7evXsd/2M2bNhQZ8+e1ebNmx3LV6xYIbvdrvr16+dqPgDgyfLM5SExMTGO4Xmp6tWrp6+//lply5aVJO3fv192u13ly5dPdxup7VFRUWratKnj98DAwHQr4lf3BwAAQN4QFBSkatWqObXlz59fhQoVcrS/9NJLGjNmjGrWrKlatWpp1qxZ+t///qf//ve/kq6MurjnnnvUv39/ffzxx0pKStLAgQPVvXv3XLlzyP6KY7O8btk9WV8XALJbniha9OvXT02bNlW1atUUGBiovXv36t1339UXX3zhqJQHBQUpLi5Okpwu87hacHCwJDn6pf5+7SRK1+ufnsTERCUmJjr+jo+PlyQlJSUpKSlJkmSz2eTl5aWUlBTHdZJXtycnJ8sY42j38vKSzWbLsD11u6m8va881MnJyTfV7uPjI7vdrpSUFEebZVny9vbOsD2j2MmJnMiJnMiJnMiJnDw9J0kyxji28+yzz+rChQt6/vnndebMGdWoUUM///yzSpYsqeTkZHl7e+vzzz/XoEGD1Lp1a9lsNj300EOaMmVKrueUFZ76OGXm3JN8bvZwpHF1nLmVkysGybvD45TeuXft/pG35YmixZgxY5z+Tp3BWZK++OILTZs2TUOHDnVFaJKuzJ8xbty4NO1Lly5Vvnz5JEklS5ZU7dq1tWPHDse1kNKV+31XqlRJf/zxh06dOuVor1WrliIjI7VmzRqdO3fO0d6wYUMVLlxYS5cudXpxaNmypQICArRo0SKnGDp06KCLFy9q5cqVjjZvb2917NhRsbGxWr9+vaM9KChIrVq10pEjR7Rt2zZHe3h4uBo1aqSoqCinYZLkRE7kRE7kRE7kRE55JadVq1bp5MmTTv0bNGigl19+WYcOHdK2bdsUFxenRYsWOXI6ffq0evTooR49ejhyCgwM1NatW3M8J+dxIpnnqY9TZs496f6sHBpJcoont3KS0v8iNSe5w+OU3rl34cKF7E4VbswyV5fO8ph169apSZMmeuihhzR//nzt2rVL1apV07333qsff/wxTf9JkybpxRdf1H/+8x899thjkq48SS5duuT0ZE21efNm1a1bV7169XIUSdKT3kiLEiVKKDY21jFaw5Or1Hmx8k5O5ERO5ERO5ERO5OTJOR2uNl5ZVXbPWLfM6WbaM/M4PfNB1kdafPhs7o+0eOrfWR9pMfyjsVlaL3LXKJc/Tumde/Hx8QoLC1NcXJzj8xTyrjwx0iIjYWFhkqTz589LksqUKSObzZbhHBSp7VfPeVG+fHmtX79eMTExaea1SK9/evz8/OTn55em3cfHRz4+zi+WXl5e8vLyStM39Ql/s+3Xbjcr7TabLd1buWbUnlHs5EROmW0nJ3KSyCmjGDPbTk7kJJFTRjFmtt3Tc8oMT8kpOx6nrEhvvzmdkyu40+N09TmWHec4PEeeuXtIelLvIFKqVClJUkBAgO666y7t2bNHhw4dcuprjNGyZcuUP39+1a1b19HevHlzSVcu5bjWkiVLnPoAAAAAAIDs4/FFi//973/pXtP0v//9T8OGDZMkPfLII472J598UpI0YsQIp6FOn3zyif7++2/17NlTAQEBjvZ+/frJ29tb48ePd5pwc9u2bfr6669VuXJlNWnSJNvzAgAAAADgdufxl4fMmTNH7777rpo1a6bIyEjlz59fe/fu1aJFi5SUlKQRI0aoWbNmjv59+vTR3Llz9fXXX+vAgQNq3ry59u3bpwULFqh06dJ6/fXXnbZfoUIFjR07VqNGjVLNmjXVuXNnnTt3TnPmzJEkTZs2zWXDtQAAAAAAyMs8vmjRsmVL7d69W1u3btWvv/6qCxcuKCwsTB06dNAzzzyjtm3bOvW32Wz6/vvv9eabb+qLL77Q5MmTVbBgQT3++ON6/fXXFR4enmYfI0eOVKlSpfTee+/po48+kq+vr5o2barXXntNderUya1UAQAAAAC4rXh80aJ58+aZnlPCz89PY8aMSXOr1Ovp2bOnevbsmdnwAAAAkAfsrzg2y+uW3ZP1dQHgdsd1DQAAAAAAwC1RtAAAAAAAAG6JogUAAAAAAHBLFC0AAAAAAIBbomgBAAAAAADcEkULAAAAAADglihaAAAAAAAAt0TRAgAAAAAAuCWKFgAAAAAAwC1RtAAAAAAAAG6JogUAAAAAAHBLFC0AAAAAAIBbomgBAAAAAADcEkULAAAAAADglihaAAAAAAAAt0TRAgAAAAAAuCWKFgAAAAAAwC1RtAAAAAAAAG6JogUAAAAAAHBLFC0AAAAAAIBbomgBAAAAAADcEkULAB6pXbt2yp8/vyzLks1mU7FixfTzzz879QkNDZVlWU4/VapUcepz7XLLsjR48ODcTAUAAABABihaAPBImzdvVo8ePfTdd99pzpw5SklJUadOnXTy5EmnfpUqVdL27dsdP0uXLk2zrccff9ypz6uvvppbaSCb3EwRK5Xdbld4eLgsy9KIESOcls2aNUsFCxZ0bCcsLEzz5s3LjRQAAACQDm9XBwAAWREbG+v0d/Xq1VWlShXNnTtXgwYNcrT7+/urRo0a191WeHj4DfvAvaUWsTp16qTExEQNHDhQnTp1UnR0tAoXLuzU96GHHpJlWWm2ERMTo379+qls2bL68ssvdfnyZT377LPq0aOH7r33XuXLly+30gEAAMD/x0gLAHlCdHS0JKl48eJO7du3b5fNZpO/v78aNmyYptghSW+//bZsNpsCAwPVr18/2e32XIkZ2Sc2NlbTp0/X/fffr27dumn16tVKSUnR3LlznfrNnTtXP/74o3755Zc021i6dKmMMZo9e7bat2+v+++/X++//77sdrvWr1+fW6kAAADgKoy0AODxkpOT9cgjjygoKEgPPvigo/3ee+9V5cqVValSJS1fvlyffPKJatSo4ShwSFKrVq3UpUsXhYaG6vPPP9fMmTMVHx+v+fPnuyIVZJP0ilixsbHq3bu3hg0blu7ImjZt2siyLA0bNkwLFy7U5cuX9frrr8vX11eNGzfOtdgBAADwfyhaAPB4NWvW1OnTp9N8Gz579mzH7507d1bZsmX14osvasWKFWrVqpUkafny5Y4+PXr0ULNmzfT999/nTuDIERkVsZo2bapSpUppwoQJ6a4XERGh+fPnq1u3bgoKCpIk+fr6asWKFfL398+V2AEAAOCMy0MAeLQaNWpoz549WrFiherVq3fdvr169ZKk6w71b9WqlVJSUhQfH5+tcSL3pBaxri5IjRw5Uvv379fq1aszXO/MmTPq1auXSpYsqZkzZ2ratGkKDw9X69atdebMmdwIHQAAANegaAHAI9ntdtWoUUO7du3Szz//rGbNmt1wndRLPipWrJhhn3Xr1smyLAUHB2dbrMg9GRWxFi1apKSkJBUrVsxxa1tJevPNNxUaGipJGjp0qC5cuKA9e/aoT58+euKJJ/S///1PiYmJGjt2rAuySeuNN95QvXr1FBQUpMKFC+uBBx7Qnj17nPp8+umnatGihYKDg2VZls6ePZtmO3v37tX999+vsLAwBQcHq0mTJlq5cqXbxrtlyxbdfffdCg0NVaFChfTkk08qISEh2+MFAADuh6IFAI9Uo0YN/fnnn3r33XdVpEgR7dixQzt27HB8I75ixQq1bt1as2fP1tq1azVy5EgNHjxYISEh6tKliyTplVdeUZ8+ffTtt99q+fLl6tGjh3755Rc1bdrUlakhC25UxJo1a5YWLFjg9CNduZPIDz/8IElKSEhw3Oo0lbf3lasoU1JScimT61u9erWeffZZbdiwQcuWLVNSUpLatm2r8+fPO/pcuHBB99xzj15++eUMt3PvvfcqOTlZK1as0ObNm1WzZk3de++9iomJcbt4o6Oj1aZNG5UrV06///67Fi9erF27dqlv377ZGituzs3cXvjRRx9VaGioo0B46NChNNvZv3+/SpUq5ehToUKFbD//AAB5A3NaAPBIu3btkiQNGTLEqf3xxx/X9OnTlT9/fm3evFkrV66UMUY+Pj6qXbu248OqJPn5+embb77R559/LunK7VEfeeQRzZo1K9fyQPZILVi89957jiKWdGUizoIFC6pGjRrpTr5ZoUIFR4Hjscce0/z581WjRg29+eabSklJ0fPPPy9J6t+/f+4lcx2LFy92+nvmzJkqXLiwNm/e7Mgj9TmxatWqdLcRGxurqKgo/ec//3EckzfffFMffvihdu7cqaJFi7pVvAsXLpSPj48++OADR0Hp448/Vo0aNbRv3z6VK1cu2+LFjd3M7YXPnz+vBg0aSJKWLFmS7nYaNGighIQETZ8+XYmJiRoyZIgaNGiggwcP5lYqAAAPQdECgEcyxlx3ef369dMdZn61UaNGadSoUdkYFVzlRkWsm9GhQwe98cYbmjBhgjp16iTLshQaGqpp06apVq1a2Rxx9oiLi5MkFSxY8KbXKVSokCpWrKjPP/9cderUkZ+fnz755BMVLlxYd955Z06FKilr8SYmJsrX19dpBExAQIAkae3atRQtctm1t42uXr26qlSporlz52rQoEGSpG+//VaS9N5776VbtFi4cKFiY2M1a9Ys9e7dW9KVOWVeeeUVbdmyRXXq1MnhLAAAnoTLQwAAHs8Yk+7P9QoWxhi98cYbTm3Dhw9XfHy8jDGy2+06c+aMnnjiiZwOP0vsdruGDBmixo0bq1q1aje9nmVZ+uWXX7R161YFBQXJ399f7777rhYvXqwCBQq4XbytWrVSTEyMJk6cqMuXL+uff/7R8OHDJUnHjx/PqXBxk9K7vfCNzJ8/X5ZlOQoWkvTiiy9KkubOnZu9AQIAPB5FCwAAPNCzzz6rnTt3as6cOZlazxijZ599VoULF9avv/6qP/74Qw888IA6deqUo0WArMZbtWpVzZo1S5MmTVK+fPlUtGhRlS5dWkWKFHEafYHcl9HthW/k2LFjjvliUvn7+8uyLB0+fDi7wwQAeDje7QEA8DADBw7UwoULtXLlykx9wy1dmaR24cKFmjNnjho3bqw6deroww8/VEBAQI7N53Ir8UrSI488opiYGB07dkynT5/W2LFjderUKZUpUyYHosXNSu/2wgAAZDfmtAAAwEMYYzRo0CB9++23WrVqlUqXLp3pbVy4cEGS0oxSsNlsstvt2RJnquyI92pFihSRJH322Wfy9/fX3XffnR1hIgsyur3wzbjjjjuUnJzs1Hbp0iUZY1SyZMnsDBMAkAdQtACQZ/R/L2vrTRuSnVEAOefZZ5/VV199pe+//15BQUGOW0SGhIQ4JqeMiYlRTEyM9u3bJ0n6888/FRQUpJIlS6pgwYJq2LChChQooD59+mj06NEKCAjQtGnTdODAAXXs2NHt4pWkqVOnqlGjRgoMDNSyZcv00ksv6c0331RoaGi2xosbs9vtqlWrlnbt2qXFixenub3wzejcubNmzpyp2bNn69FHH5UkTZ48WZL08MMPZ2u8AADPR9ECAJDnZLWAJbl3Eeujjz6SJLVo0cKpfcaMGerbt6+kK7cDHTdunGNZ6ofK1D5hYWFavHixRo4cqVatWikpKUlVq1bV999/r5o1a7pdvJL0xx9/aMyYMUpISFClSpX0ySefqFevXtkaK27OjW4vLEk7duzQ7t27tXXrVknSjz/+qPDwcNWtW1dly5bVvffeq7CwMD355JNKSkrSpUuXNGbMGEVGRnLnEABAGpa50X0Dke3i4+MVEhKiuLg4BQcHuzocIM9gpAVS5dWiBeBqlmWl23717YVbtGih1atXX7fP/v371bp1ax06dEiSVL58ea1Zs0ZFixbNochv3f6KY7O8btk9WV83qzwtXlfwtPeKW4l3+Edjs7Seu54LfJ66vTDSAgAAADflZr7rWrVq1Q37lC1bVgcPHrz1gAAAeR53DwEAAACA6zi+f42WTOukr8ZEaPrzlr777jun5X379pVlWU4/99xzj1Of++67TyVLlpS/v7+KFSumXr16KTo6OhezADwTRQsAAAAAuI7ky+dV6I6aatT5gwz73HPPPTp+/Ljj5+uvv3Za3rJlS82bN0979uzR/PnztX//fnXp0iWnQwc8HpeHAADgwTztuvWsxuuu11UDuD2UqNxeJSq3v24fPz+/687L8vzzzzt+j4yM1PDhw/XAAw8oKSlJPj4+2RYrkNcw0gIAAAAAbtGqVatUuHBhVaxYUQMGDNDp06cz7HvmzBl9+eWXatSoEQUL4AYYaQEAAIAs485NwJVLQx566CGVLl1a+/fv18svv6z27dtr/fr18vLycvQbNmyYpk6dqgsXLqhBgwZauHChC6MGPAMjLQAAAADkqjVr1qhTp06KiIiQZTlPbJmUlKRhw4apevXqyp8/vyIiItS7d+90J6386aefVL9+fQUEBKhAgQJ64IEHci+Jq3Tv3l333XefqlevrgceeEALFy7Uxo0b09xN56WXXtLWrVu1dOlSeXl5qXfv3jd1Vx7gdkbRAnBD2fFGfubMGfXs2VPBwcEKDQ3V448/roSEhFzOBABwI1OmTFGRIkXk5eUly7I0YsQIx7ILFy6ofv368vf3l2VZ8vLyUtmyZbVly5Z0txUfH6+AgABZlqW5c+fmVgq4Td3KuXv+/HnVrFlT4eHhkqQHH3xQlmU51t2yZYteeeUVbdmyRQsWLNCePXt03333Oe1//vz56tWrl/r166ft27dr3bp1euSRR3Ip++srU6aMwsLCtG/fPqf2sLAwVahQQXfffbfmzJmjRYsWacOGDS6KEvAMFC0AN5T6Rv7BB2lnqL7ZN/KePXtq165dWrZsmRYuXKg1a9boySefzJF4r1dkkaQFCxaobdu2KlSokCzL0rZt2zLcljFG7du3T3c7AJAX/fPPPypfvrxefPHFNMtiY2O1b98+DRgwQIsWLdInn3yiEydOqGnTpuluq1mzZgoKCsrpkAFJt3butm/fXq+//rpCQ0MlSWXLlnWsGxISomXLlqlbt26qWLGiGjRooKlTp2rz5s06fPiwJCk5OVnPPfecJk6cqKeffloVKlRQlSpV1K1bt5xP/CYcPXpUp0+fVrFixTLsY7fbJUmJiYm5FRbgkZjTAnBD7du3V/v26c9QnfpGfrWpU6fqrrvu0uHDh1WyZEnt3r1bixcv1saNG1W3bl1JV74N6dChg9555x1FRERka7ypRZbHHntMDz30ULrLmzRpom7duql///7X3dZ7773n+KYFAG4Ho0eP1ujRoyVJb7/9ttOykiVLppnMz8fHR3379tX69evVsGFDR/urr76q3bt365tvvtH999+f84Hjtpcd5+7q1atlWZZKlSql/fv3Z7ivuLg4WZblKHJs2bJFx44dk81mU+3atRUTE6NatWpp4sSJqlatWjZmeUVSYoLiY/9v1MSBAwe0bds2FSxYUAULFtS4cePUuXNnFS1aVPv379e//vUvlStXTu3atZMk/f7779q4caOaNGmiAgUKaP/+/XrllVdUtmxZp+cxgLQYaQHkAde+ka9fv16hoaGOgoUktWnTRjabTb///nu27z/125IHH3ww3eW9evXS6NGj1aZNm+tuZ9u2bZo0aZI+++yzbI8RuedGI2+MMRo9erSKFSumgIAAtWnTRlFRUeluKzExUbVq1brhCB0gO3jKuXvixAlJUokSJRxtO3fu1Lhx4zRt2jQVLFgwW/cHZJf0zt2bcenSJQ0bNkw9evRQcHCwJOnvv/+WJI0dO1ajRo3SwoULVaBAAbVo0UJnzpzJ3sAlnTqySd++U1vfvlNbkjR06FDVrl1bo0ePlpeXl3bs2KH77rtPFSpU0OOPP64777xTv/76q/z8/CRJ+fLl04IFC9S6dWtVrFhRjz/+uGrUqKHVq1c7+gBIH0ULwMOl90YeExOjwoULO/Xz9vZWwYIFFRMT44owb+jChQt65JFH9MEHH1z3Hudwf9e7vEm68m3cv//9b3388cf6/ffflT9/frVr106XLl1K0/df//pXto8MAjLiCefu2bNnNXbsWEVGRqp48eKSrgwxb9mypVq2bKnevXtn+z6B7JDeuXszkpKS1K1bNxlj9NFHHznaUy+tGDlypDp37qw777xTM2bMkGVZ+uabb7I9/ohyLfTEZOP4MebKz8yZMxUQEKAlS5bo5MmTunz5sg4ePKhPP/1URYoUcaxfvXp1rVixQqdPn9alS5d04MABffTRR7rjjjuyPVYgr6FoAXiwjN7IPdHzzz+vRo0a3VZDmqOjo1W7dm15e3vLsiwFBQVp1qxZjuWWZaX707FjRxdGfWPXG3ljjNF7772nUaNG6f7771eNGjX0+eefKzo6Os232j///LOWLl2qd955J5cix+3O3c/dCxcuqFKlSpKktWvXOtq7du2qxMRELVq0KFv3B2SXjM7dG0n9P+fQoUNatmyZ48sZSY65IqpUqeJo8/PzU5kyZRzzXgDIGyhawMnly5fVtGlT+fj4yLIs+fj4qHXr1o5qtnRlCGq5cuUcM0WHhYWlmWMBOe96b+RFixbVyZMnnfonJyfrzJkzbjmK4YcfftCKFSv03nvvuTqUXNWgQQPt3r1bkydP1i+//KI777xTffv21aZNmyRJ27dvd/rp16+fpCu3S/NUBw4cUExMjNOlQiEhIapfv77Wr1/vaDtx4oT69++vL774Qvny5XNFqIATV5+7Fy5cULly5RQXF6ft27c7fVP922+/6dy5c/Lz85NlWY6JDrt37+40uSHgCtc7d68n9f+cqKgo/fLLLypUqJDT8jvvvFN+fn7as2eP0zoHDx5UZGRktuYAwLUoWsDJvffeq3Xr1mnkyJH69ddfNXjwYK1YsUJdu3aVdGUoXsOGDXXq1Cl99tlnWrRokcLDw9W+ffs0H5KRc270Rt6wYUOdPXtWmzdvdrStWLFCdrtd9evXz+1wb2jFihXav3+/QkND5e3tLW/vK3MEd+7cWS1atHBtcDnkzJkzOnLkiIYPH65BgwapdevWWrVqlQICAjRkyBBJUo0aNZx+fv75Z8f1up4q9fKkq4fMpv6duswYo759++rpp592mpcFcCVXnrupH/rOnDmjLVu2qHz58k7LFyxY4PQzYcIESdKLL76oOXPmZFscyH03+jIps7fEzW3XO3cTEhK0bds2x5wvqbdlP3z4sJKSktSlSxdt2rRJX375pVJSUhQTE6OYmBhdvnxZkhQcHKynn35aY8aM0dKlS7Vnzx4NGDBAkhz/twLIG7h7CJxs375d5cqV09ixYyVJTZo00Zw5cxxvfsuWLVNCQoK+++47xzD+u+++W76+vnrppZechrYj6xISEpzu6331DNXFihVTly5dtGXLFi1cuNDxRi5JBQsWlK+vrypXrqx77rlH/fv318cff6ykpCQNHDhQ3bt3d8v5AYYPH64nnnjCqa169eqaPHmyOnXq5KKoclbqNfD58+d3avf29tbOnTvT9N+5c6diYmL0zDPP5Ep8rjRlyhSdO3dOI0aMcHUoQKZk9dyNiYnR6tWrHX/v3r1bc+fOVcmSJVWzZk2VLVtWp06d0ldffaWkpCTt2LFDklSmTBkFBgamufNA6vD7unXrql69ereYFVwp9cuk1Mmsv/32W7377rvq2rWr5s+f73Rb0bZt2+rYsWMaMmSImjZtqh3Fc35U3q2cu5s2bVLLli0d66ZOFN6rVy916dJFP/zwgySpVq1aTvtcuXKlo3g/ceJEeXt7q1evXrp48aLq16+vFStWqECBAjmY9RX7K47N8rpl92R9XeB2RNECTmrWrKkVK1ZoyZIlateunebNm6fjx4/r6aeflvR/VfCr7wHv7e0tm82mdevWuSTmvOjaN/KhQ4dKkvr06aOxY8fe1Bv5l19+qYEDB6p169ay2Wzq3Lmz/v3vf+dIvNcrspQsWVJnzpzR4cOHFR0dLUmOoZxFixZ1+rlWyZIlVbp06RyJ2dUiIiIUGBio8ePHq3Xr1qpWrZqee+45nTt3Tj4+Pmn6/+tf/5JlWRo/frwLos0+qY/ziRMnnO5df+LECcf5vGLFCq1fvz7NbOp169ZVz549KY7CJXLy3J0zZ46ef/55x9/ff/+9vv/+e5UtW1YzZ850FKYffvhhp/UmT57sGJmFvOlGXyZd77aiWy8eUe2AzN2lI7Nu9dw1xqhcuXJOtzpds2aN1qxZc1Pnt4+Pj9555x3mPgLyOIoWcLJo0SI1adJE99xzj6Otbdu2+vDDDyVdmaTMy8tLffr00Zo1axQeHq6uXbsqJSVFZ8+edUnMmzZtUteuXXXo0CEZY+Tn56dPP/3UMYP6zp079cADD+jAgQOy2+0qVKiQvv76a919990uifdmtGjRQsaYDJdfb1mqggUL6quvvsrOsDJ0vSLLzJkz9cMPPzjmY5CuXGctSWPGjHH8I3Y7+v777/XQQw/pzjvvlHRl1EWpUqUcxZ2rLV++XNWqVXPc1tZTlS5dWkWLFtXy5csdH/Ti4+P1+++/O4b1/vvf/9brr7/uWCc6Olrt2rXT3Llz3fLyJtwecvLcHTJkyHU/nN3Ma/7VmjRpkul14J5u9GVSelJvK1rUOyTH48uOc/fqLz0AID0ULeBk6NCh2rRpkwYNGqTmzZtr2bJl+vTTT9W/f39NmzZN+fLl08yZM9W/f3+VKVNGklSoUCGFh4e75B+kAwcOqEGDBipdurT+85//qGzZslq3bp3TbeAaNmwom82mzz77TIULF9bQoUPVvn17RUdHp7ktKLLmRkWWvn37qm/fvpna5u3wD3erVq109uxZnTx5UtHR0apVq5ZKliypkBDnfzSnTp2qy5cva9SoUS6KNHNuNPJmyJAhev3111W+fHmVLl1ar7zyiiIiIvTAAw9IuvLN4dUCAwMlSWXLls3UbfKAzOLchbu50ZdJ17r6tqLFfILT7QMAnoaiBZx8+OGHeuihhxyXEXTu3Fn79u3T559/rmnTpkmSHn30UT366KM6fPiwzp8/r8qVKyswMNAlw/h79Oih/PnzKyoqytHWrFkzx+/MwQFPULhwYRUuXFgHDhzQkSNH1LNnT6fl7733nvLly6du3bq5KMLMudHIm3/96186f/68nnzySZ09e1ZNmjTR4sWL5e/v76qQAUmcu3A/N/oy6WrX3lY0sfV0V4QMANmOogWc2O12eXl5ObV5eXml+6136jdKy5Yt0/nz5/XII4/kSoxX27p1q6pWrarixYsrOjpa/v7+6tKliz7//HNJzMEB9zZ+/HgZY9SsWTP99ttvGjdunPLnz69PP/3U0efo0aPav3+/evTo4cJIM+dGI28sy9Krr76qV1999aa2V6pUqdti5A1cz13O3f7vZXoVh2lDsr4u3M/NfJkkOd9WdMeOHSpevLj2Z7RRN8XElgAyQtECTsqUKaN58+apYsWKatOmjX788UctW7bMafbxoUOHqmTJkqpVq5aWLl2qt99+WxERES6Z6f/y5cvaunWrGjZsqIkTJ+qnn37SF198IT8/P02bNs0t5+DIqqy+mfNG7r5iY2M1depUJScny2azqWrVqlq4cKHy5cvn6DN8+HBJ0ptvvumqMAEALnIzXyZdfVvRrVu3prklbm66lYLb8GyLAkBeQ9ECTtasWaOOHTvq9ddf17hx4+Tt7a1GjRpp8eLFjj6HDh3Sv//9b6WkpMjLy0sNGzbUzz//7LKYAwMD9dtvv0m6crnIn3/+qTlz5rjlHBy3E4osNzZ58mRNnjz5un1mz56t2bNn51JEAAB3cqMvky5cuJDhbUWN/bICbb6uDB8AsgVFCziJiIjQ1q1br9tn/vz5uRTNjXl5eSkiIsKprUqVKtq5c6fjb3eagwMAAOBm3ejLpC1btmR4W9GXw9rpsYINcj1mAMhuFC3g0YoXL+54s061Z88ep+H1qdxhDg7gdsR1yvBkjBqDK93oy6Tr3d72Vl57AcCdULSARxs3bpz69u2rtm3batiwYVqwYIG2bt2qAQMGOPq40xwcwNWyeu0vE+0BAADgdkHRAh6tT58+2r9/v95++20tW7ZMvr6+6tWrl9P9y91tDg4AAAAAwM2haAEnnnibtRvdfs6d5uAAAAAAANw8ihYAAACAm8rqF0rcQhRAXmFzdQAAAAAAAADpYaQFPJonXs4CAAAAALg5jLQAAAAAAABuiaIFAAAAAABwSxQtAAAAAACAW6JoAQAAAAAA3BJFCwAAAAAA4JYoWgAAAAAAALdE0SITNm7cqA4dOig0NFT58+dXgwYNNG/ePFeHBQAAAABAnuTt6gA8xcqVK9WuXTv5+/ure/fuCgoK0vz58/Xwww/ryJEjeuGFF1wdIgAAAAAAeQojLW5CcnKy+vfvL5vNpjVr1ujTTz/VpEmTtH37dlWoUEEvv/yyDh065OowAQAAAADIUyha3IQVK1Zo//79euSRR1SrVi1He0hIiF5++WVdvnxZs2bNcl2AAAAAAADkQRQtbsKqVaskSW3btk2zrF27dpKk1atX52ZIAAAAAADkecxpcROioqIkSeXLl0+zrGjRogoMDHT0SU9iYqISExMdf8fFxUmSzpw5o6SkJEmSzWaTl5eXUlJSZLfbHX1T25OTk2WMcbR7eXnJZrNl2J663VTe3lce6uTk5Ou2X77kk2EeN/LPP+nHnpM5Xb5kZTne06eTZFmWvL29ZbfblZKS4liW2p5R7K54nM6lJCorTp8+7ZKcshpvfHx8ho/HjR6nrJ6/Z8/ac+T5lMrHxyfd2C9fytpL8OnT/xdPbr9G3Cin9B6nrJ4L0v+dv5nN6VZey64+vp7wGpFdxze3crrV17LMnHvZkVNW442Li8vy8ykn3otz8jUiq+/Fqc81d3o+Xa89O55rWcnp8qWsfcd4K/Fe7734eo/T5UteWd5ndr2WZeY14laea7cSb+pngcy+RmT1XJCyHu+ZM2dc/n9EeufeuXPnJMkpNuRdluGRvqG2bdtq2bJlioqKUrly5dIsv+OOO5SQkOB4AbrW2LFjNW7cuJwOEwAAAABuG0eOHFHx4sVdHQZyGCMtcsGIESM0dOhQx992u11nzpxRoUKFZFlZHyngTuLj41WiRAkdOXJEwcHBrg7nhog3Z3lSvJ4Uq0S8OY14cxbx5ixPiteTYpWIN6cRb87ytHhvhjFG586dU0REhKtDQS6gaHETQkJCJCnDkRTx8fEqUKBAhuv7+fnJz8/PqS00NDTb4nMnwcHBHvViSLw5y5Pi9aRYJeLNacSbs4g3Z3lSvJ4Uq0S8OY14c5anxXsjqZ/RkPcxEedNSJ3LIr15K2JiYpSQkJDufBcAAAAAACDrKFrchObNm0uSli5dmmbZkiVLnPoAAAAAAIDsQdHiJrRu3VplypTRV199pW3btjna4+LiNGHCBPn6+qp3796uC9AN+Pn5acyYMWkug3FXxJuzPCleT4pVIt6cRrw5i3hzlifF60mxSsSb04g3Z3lavMC1uHvITVq5cqXatWsnf39/de/eXUFBQZo/f74OHTqkd955Ry+88IKrQwQAAAAAIE+haJEJf/zxh8aMGaPffvtNSUlJql69uoYOHaqHH37Y1aEBAAAAAJDnULQAAAAAAABuiTktAAAAAACAW6JoAQAAAAAA3BJFCwAAAAAA4JYoWgAAAABAHme328V0hvBEFC0AAAAAIA9KLVIYY2Sz2WRZlosjAjKPogWQB1FFhyfj/M05HNucxfHF1TgfcoYxxumDOK4vKSlJkvTyyy+rW7duOn36tIsjAjKPogVyDW8suYcqOjwZ52/O4djmrPSOL+99ty/Oh5xhWZbj2F59jDm26fP19ZUkffHFF4qNjXUUMTLCcYQ78nZ1ALh9WJYlY4zsdrtHDE8zxrh9jFczxujixYvatGmTihQpouLFi8sYo4CAAHl5ebk6vDQ88fgSb87h/M05HNuclZSUpFOnTum3335TiRIlFBQUpHz58qlw4cLKly+f2+XiacfX0+LlfMg5Fy5c0P79+/Xrr7/qjjvukJ+fn8LCwlSuXDmFhoa6XR6uPrbr1q3T/v371b59e/3111+Kjo7W2LFjVbRo0evG527HEZAoWiCX/Pjjj6pWrZpKly7t+Cc5dTIgd/ynWbryou3uMaY6evSo3nzzTf3www86ceKEkpKSVKxYMTVo0ECtW7dW48aNVblyZfn6+iolJcUtikapRazUayzdnSedD5Jnxcv5m3M4tjkrKipKY8aM0Y8//qjz589LkgoUKKDKlSurUaNGatasmerVq6ciRYrIbrc7fUPsKp702iB5VrycDzln+/btGjFihBYvXuxoCwgIULFixVSnTh21atVKLVq0UIUKFWSz2RxfkLlS6rG12+3y9s79j1yjRo3S6tWr1aRJE8XFxSk8PFwRERFO8Un/V7wwxuiLL75QQkKCBgwY4PJzE7iaZRgDhBx26dIl5cuXT/nz51ebNm308MMPq0OHDgoODnb0SUlJcbw42mw2nT9/XmfPntUdd9yR6/FevnxZX3zxhR544AEVKlQoTYyufhO81uXLl3Xvvfdq5cqVatKkicqXL68TJ07o1KlT2rdvn2JjY1WyZEl1795dQ4cOVeHChV0ab3Jysn788Ue1atVKISEhjna73S5J1z2+rvgnxBPPB0+Ll/M3Z3Bsc1ZiYqJatmypzZs3q1u3bipVqpTi4uJ06tQpbdu2Tfv27VNQUJA6dOigf/3rX6pRo0auxnctT3xt8KR4OR9yTmJioho0aKCoqCgNHjxYERERSkxM1MmTJ/Xbb79p48aNSklJUdOmTfX888+rU6dOLo93ypQp6tWrl4oUKeJoT0lJkaRcKQ7Z7XYtXrxYGzZs0OLFi7Vp0yb5+vqqUaNGuv/++1WvXj2VL19eYWFhjv+/jx07pgcffFBHjx5VdHR0jscIZIoBctjXX39tLMsyISEhxrIsY1mWKVasmOnfv7/55ZdfnPqmpKQYY4yZNWuW8ff3N59//nmux/uf//zHWJZlIiIiTJ8+fcxPP/1kkpKSnPokJyeblJQUR7wHDx400dHRuR6rMcZMnz7d+Pr6mtdff92p/fDhw2bx4sVm9OjRpl69esayLBMeHm5mz57tkjhTzZw501iWZRo2bGhGjhxp1q5da5KTk536JCcnG7vd7ji+J06ccEWoxhjPOx88LV7O35zDsc1Z06ZNM/7+/ubdd991aj99+rTZtm2b+eyzz8yDDz5oAgICjI+Pj3n77bfT5JObPO21wdPi5XzIOZ9++qkJCAgwH374oVP7xYsXTUxMjFmxYoUZNGiQKVasmLEsyzz//PPm/PnzuR5nqk8++cTx/26LFi3M7NmzzeXLl536JCUlOR3b3bt3m/Xr1+dI3NOnTzc2m820bNnSVKhQwdhsNlOsWDHz8MMPm88++8xs3brVnDt3zsyePdsEBgaajz76KNtjAG4VRQvkuBdffNHYbDazdOlSs2bNGtO5c2fj4+PjeEGvUqWKGTlypNm6datjneeff95YlmX27NmT6/Hec889xrIsExgY6IixXLly5sUXXzR//PFHmv6XL182jz76qPH393fJP9B33323qVu3rtm3b58xxphLly45LU9JSTE7d+40I0aMcOSyefPmXI8zVatWrYxlWcbX19dYlmXy589v2rRpYyZNmmR27tyZpn9SUpJ55JFHTP78+U1sbGyux+tp54Onxcv5m3M4tjmrffv2pmbNmhkeX2OuFIimTp1qChUqZEJDQ9MU6nOTp702eFq8nA855/777zdVqlRxHNvExMQ0fc6ePWu+/fZbU7NmTWNZlpkzZ06uxni1++67z3E8U4+tj4+P6d69u1m+fHma/pcvXza9e/c2Pj4+5vjx49kez7Jly8wrr7xitm/fbv73v/+ZadOmmW7dupmiRYsam81mypUrZ1q1amUKFixoihUr5tKCD5ARihbIURcvXjTdu3c3lmU5vQieO3fO/Oc//zFNmjRxvKBblmWaN29uRo4caUqVKmVq1qyZ6/GePXvWVK9e3dSoUcPEx8ebr7/+2rRu3dopxrvuustMnDjR7N271xhz5Zu+atWqmcqVK+d6vAkJCaZp06amTp06jrbUqr3dbjd2u92p/8KFC42vr6/p3LlzrsaZ6p9//jEVK1Y0tWrVMnv37jXvvvuuqVOnjuPYFilSxHTt2tXMnDnTHDp0yBhjTHR0tKlWrZqpVKlSrsfraeeDp8XL+ZtzOLY568KFC6ZDhw6mXLlyjrbU45uezZs3m0KFCpnmzZvnQnRpedprg6fFy/mQcxITE02PHj1MkSJFHCNBrnds//77b1O2bFlTu3bt3ArRSVxcnLnzzjtNhQoVTEJCglmyZIl57LHHHKNALMsyhQsXNkOHDjXbt283xlwZjVOtWjVTpUqVXIkxJSXFnDx50qxdu9ZMmjTJdOzY0RQuXNjUrVvX/PDDD7kSA5BZFC2QoxISEsyoUaNMu3btTFxcnElKSkozHPLgwYPmtddeMxUqVHB6w3TF8LRt27aZggULmlatWjm1R0dHm4kTJ5pq1ao54vPz8zP33Xefefzxx41lWWbKlCm5Gmvqh46BAwcam82Wpnp/9YeSlJQUx9DENm3amOrVq5vDhw/nXrD/3+bNm01oaKjp0KFDmvYXX3zRREZGOo5v+fLlzeDBg82gQYOMZVlm6tSpuR6vJ50PnhYv52/O4djmrNTjN3r0aGNZlpk5c6bTsqs/UNntdsfx7dKliylVqpTj2+Lc5EmvDZ4WL+dDzkk9tv/+97+NZVlm3LhxTsuuPbapRY0nnnjCFClSxOzatSvXYk21c+dOExYWZpo2berUfurUKTNr1izTqVMnky9fPsfxrV69unn44Yez/dimHpu9e/eayZMnm6VLl6Y7QuXixYvm+PHj5tKlSyYuLi7b9g9kN4oWyHFHjx41u3btcrqeL/XN5dpv+9atW+cYThcfH5/boZoDBw6Y+++/37zzzjvGmCtD9q6t6O/YscO88MILJiIiwqnI4op4jTFm8eLFpmDBgqZkyZLm66+/TvOmc/UbeUpKiundu7fLhv/t2rXLNG7c2HHN77XHNjEx0SxZssT07t3baQ4Uzoe8Ga8xnL85iWObs9avX29KlSplQkJCzNSpU80///zjtDwlJcVxfJOSkszTTz9twsLCXHJ8Pe21wdPiNYbzISf99ddfpkaNGsbX19eMHj3anDp1yml5cnKy4wuxxMRE89xzz5nQ0FCTkJCQ67GeOHHCPP744+btt982drvdMS/I1aKiosw777yTZrRxdh7b1P+vH3/8cWOz2cx///tfp+VxcXEUKeBRKFrA5VJSUhzXfv71118mMjLStGvXzmWxREVFpZlo6up/7q82depUY1mW6dSpU26FmK6JEycay7KMl5eX6dmzp5kzZ47Zt29fmlEtmzdvNpUqVXLZ8U1MTDTr1683f//9d5pl1xawLl++bMaNG+fS4+tp54OnxZuK8zfncGxz1jfffGMKFSpkLMsyjRo1MpMmTTJbtmxJ83zbsGGDKVeunLnnnntcEqenvTZ4WrypOB9yzsaNG03t2rWNZV2ZPHTo0KFm1apVaUYPrF692pQqVcq0b9/eRZFeufzm7NmzTm2pBYxrffbZZ8ayLHPvvfdm2/5TXzMPHTpkgoKCzFNPPeVUOFm0aJF5+OGHTWRkpHnooYec5pQD3FXu3zQYuIbNZpOfn58kac6cOTp8+LAmT57ssljKlSuXpt2yLMc9tu12u1JSUuTj4+O4bVXfvn1zM8w0XnzxRdWsWVOvv/665syZox9//FG1atVSrVq1VLZsWVWtWlVRUVH64IMPFBMTo/fff98lcfr6+qpBgwbpLrOuuh+43W6Xj4+PChQoIEnq169frsR3LU87Hzwt3lScvzmHY5uzunTposjISI0fP16LFi3S+vXrVapUKVWrVk1Vq1ZVjRo1tGPHDn399de6cOGCXnzxRZfE6WmvDZ4WbyrOh5xTt25dzZ49W++//74+++wzTZ48WVOmTFGlSpVUu3ZtVa9eXVu3btXPP/+s/Pnza9iwYS6L9epbNqeyLMtxHK8+thcvXpSUva9ldrtdXl5emjFjhvz9/fXggw86bmG7a9cu9ezZUxcuXJCvr6++/fZb2e12zZkzx/G/OOCWXF01AVKlpKSYzz//3Nx5552uDuWmxMbGOm4X6CrXTqh37NgxM3v2bNO9e3dTokQJp2GHlmWZsLAwM336dJfFe/W3DKm3LszI6dOnTYMGDYyXl1duhHbL3OF8yAx3iffqcyAmJsatz9/McPX5y2tD7vv111/NCy+8YKpWrZrm+FaoUMF88803rg7xprjLa8PNcod405sY8tdffzVDhw41VapUcbvz4ernW3ojK67mDsf3WtHR0ebdd9819evXT3NsmzZtapYuXerqEG9KbGysY8LhnNCkSRNTv359xzxF0dHRpkOHDiY8PNzMmzfPGGNM7969TVBQkEvu1gdkBiMtkKOMMU7fkl2PzWZTr1699PDDD+dwVNnD29tbLVq0UJMmTVwWg2VZSklJcVTvIyIi1L17d7Vu3VrHjx9XTEyMdu7cqRMnTqhhw4aqXLmyqlSp4rJ4vby8HPGmxiylf55cvnxZVapU0V133ZXbYWaJO5wPmeEu8V79uBcpUkSPPPKI2rZtq+joaEVHR7vV+ZsZrj5/eW3IPXa7XTabTU2aNFH9+vU1YsQInTx5Uhs2bNCFCxdUo0YNlSxZUpGRka4O9aa4y2vDzXKHeG02m86dO6egoCBHW5MmTdSgQQO9/PLLbnc+eHl5OeJNHVmREXc4vqlSUlJkWZaKFSum559/Xs8//7xOnDihDRs2yMfHR5GRkSpcuLDCw8Mz9f+nqwQGBqpr165q1apVtm/77Nmz8vf31z///KMSJUpIkj755BP9/PPPmjlzpjp27ChJqlmzphYsWKCDBw+qQoUK2R4HkF0sY4xxdRDIexISEhQYGOjUdqM3EGOMUlJSbvgGmpOy8iaX+g9rblu1apVWr16tf/75R2fOnFGVKlXUsWNHVa9ePddjuRnXxlu1alV17NhR1apVc/Sx2+2S5DieZ8+ela+vr/Lly+eSmD3pfJA8L968zlXnL68NOc8TPhBdzdNeGzwp3nnz5mnNmjU6fPiw4uLidOedd6ply5aqW7euihUrluvx3Eh68bZq1Up16tRRRESEpLTPt9Q2VxzfjPab+vHF3Z6H7vCemvr8efHFF/Xuu++qf//+ypcvnz788EM1a9ZMy5Ytc8Q6duxYTZkyRbt371bRokVdGjdwXbk/uAN53aVLl0z//v3NtGnTzI4dO8zFixedll87bNnV7Ha7OXfuXJq2G8WYkpKS7qRKOS0pKcm89tprjhn0AwICnIZGVq1a1bz11ltpZi53lRvFW61aNTNx4kS3idfTzgdPi9cYk+5t1zKSOnT5RpcM5KTMxOtKvDbkrMw8166edC+9O2XlBk97bfC0eC9fvmyef/554+fnZ3x8fExoaKjT+VuqVCnz/PPPm6ioqFyPLT03E+/QoUNdcgvWa9ntdnPmzJk0bRk911Ivz3Hlc+1m471aUlKSYyL6nLBq1SpToUIFx2N87733mg0bNjiW//nnn6ZevXqmfv36ORYDkF0oWiDbffrpp8ayLFOwYEFTq1YtM2TIEPPf//7X7N+/P811n6kfSFauXGleffVVc/To0VyPd+HChaZPnz5mzpw5Zu/evWmu73S3Isvs2bONr6+vadeunfnpp5/MgQMHzKZNm8xbb71l7rnnHhMYGOi4Rv3tt9922e3fbjVeVx1zTzsfPC3e5cuXm3Hjxpm1a9eaEydOuFVs6fGkeHltyFme9lwj3pw1a9Ys4+vra7p162Y2btxoLl++bHbv3m1mzpxpnnrqKVO5cmXHh8UhQ4Y4/r9xVQ6eFO9///tf06RJE/POO++YP/74I03hOCUlxa3OBXeO1263m6VLl5pPP/3UXLhwwWnZyJEjTWhoqPnyyy9dEhuQGRQtkO26dOliLMsyXbt2NdWqVTM2m80EBwebFi1amHHjxpmlS5emuc3WgAEDjGVZ5tChQ7keb+okSIUKFTKNGzc2I0eONIsWLTJHjhxJt7/dbjdTp041EydOvOEEVjmhfv36plGjRo5vb64tBP3+++/mueeeM76+vsbPz8+8++67uR7j1TwtXk87Hzwt3ho1ahjLskxkZKTp1q2bmT59utm6dWua28Olstvt5uuvvzZffPGFS75N9aR4Pe255mnxetpzjXhzVsOGDU2jRo3M/v37jTEmzfN9165d5q233nJMfPvCCy/keoxX86R4UyfY9PX1NZGRkaZnz55m+vTpZvfu3en2T0lJMePGjTMvvPCCuXz5ci5H63nxGmPML7/84riNraeMJsTtjaIFslV8fLxp3LixKVSokDl79qz53//+Z2bNmmUeffRRU7x4cWNZlilatKh54IEHzLvvvmu2bdtmNmzYYCpWrGiqV6+e6/GePHnShISEmEqVKpk+ffqYUqVKOb7Z69ixo3nnnXfMr7/+ak6fPu1YZ+/evaZixYqmQYMGuR5vbGysKVKkiHnsscec2lNSUtL8w79//37ToEEDY1mW+e6773IzTAdPi9fTzgdPi/fEiRMmX758pmzZsqZNmzamQIECxmazmQoVKpgBAwaYb775xuzZs8ecP3/esc7u3btNlSpVTNu2bYn3OjztueZp8Xrac414c9bp06dNyZIlTffu3Z3ar75UIdU///zj+DLnww8/zM0wHTwp3lOnTplChQqZ6tWrm5dfftnUqlXLWJZlvLy8TI0aNczAgQPNf//7X3Ps2DHHOvv27TPlypUzVapUId7/76effjIfffSRefPNN820adPMtm3bHMuSkpLMtm3bzKuvvmo2bdqUYzEA2YmiBbLVvn37TPXq1U3r1q0dbXa73Zw+fdr88ccf5v333zcdOnQwoaGhjn/+mzZt6rI3x19++cX4+PiYJ554whhjzMaNG81HH31kHnjgARMWFua4zrNnz57m448/Nnv27DFTpkwxlmWZKVOm5Hq8p06dMlWqVDGtWrXKsM/V1/euX7/e+Pn5mcGDB7tkaKKnxetp54OnxbtkyRLj7e1tBgwYYM6fP2++/fZbM2zYMHPXXXeZgIAA4+fnZ+rVq2defvlls2jRInP69Gnz0UcfGcuyzPvvv0+81+FpzzVPi9fTnmvEm7Pi4+NN/fr1Tc2aNZ2+Kb/63Ly6ALd3714TFhZmHn30UZd8s+5J8a5atcr4+vqafv36GWOu3Kbz559/NgMGDDCRkZHGsiyTL18+06RJEzNy5Eizbt0689577xnLsszUqVNzNVZ3ijf1tXLv3r3mySefNN7e3mnmNErlTpfWADeLogWy1enTp81zzz1nJk2alO5wzaSkJBMdHW2WL19uXn31Vce3Z5ZlpZmAKzfMnz/f2Gw2M3PmTEdbcnKyiYmJMWvWrDHjx483zZo1M/ny5TM+Pj6mWrVqply5csayLJddD96rVy9jWZaZPHlyhsfs6jekmjVrmubNm7tsCKInxetp54OnxfvFF18Yy7LMnDlzHG0XL140u3btMrNnzzZPPvmkqVSpkvHy8jIhISGmTZs2pmbNmsR7kzzpuWaMZ8Xrac814s15gwYNMpZlmeHDh6c7Wey1c3A0btzY1K1b12VD8T0l3p9//tnkz5/ffPzxx464jLkykejBgwfNl19+abp06WIKFChgLMsy4eHhplixYi47F9wl3tSCU7du3Yyfn5955plnzNatW828efOMl5eX6dWrlzHmyvPq999/Nxs3bsy2fQO5gaIFcsS1dwzJyIIFC0y+fPlMhw4dcjii9P3555+mT58+Zv369ekuv3Tpkjl48KD58ccfzYgRI0ylSpUc1wC6yt9//20iIiKMZVlm0KBBZuPGjU7D06+2e/duU716dXP//ffnbpBX8aR4Pe188LR4N2zYYFq1amV+/fXXdL/pOXv2rPnjjz/M1KlTTY8ePRz/2N17770uiNbz4vWk55oxnhWvpz3XiDfnnT171vHFS6dOncyCBQvMsWPH0lxuYYwxf/31l6levTrx3oS///7bvPLKK2bLli0Z9rlw4YLZsWOH+fjjj81dd93l0nPBHeJNfX86cOCAsSzLDBw40LFs5syZxrIss3LlSkdbly5dTPv27U1cXFy2xQDkNIoWyFbpvfldz1tvvWUsyzLffvttzgR0k25mEq+UlBTz0ksvGcuyzPfff58LUaWV+sa0YcMG07JlS+Pl5WUiIyPNwIEDzU8//WR2797tmOT0/Pnz5umnnzY+Pj4uuw7c0+JN5SnnQypPi/fab8rTKwjExcWZp59+2liWZX744YfcCi1dnhCvpz3XPC3eVJ72XCPenJF6/u7evdt07drV+Pr6moIFC5qHHnrIfPDBB2b58uVmz549xpgrHyR79uxpfH19XfZa5mnxGpN2otCMvPrqq25x7roy3tT/vSdNmmSCgoIcj9upU6dM165dTeHChZ3633vvvaZRo0YmNjY222IAchpFC7hMXFyc6datm/H393dZDDfzJpP6ZnD27FnTunVrExQUlNNh3ZS///7bjBs3ztSsWdPYbDbj5eVlKlasaJo1a2YaNGhgypYtayzLMo888oirQzXGeEa8nnY+eFq8N/OBJDWnhIQE07ZtW+LNAk94rl3NE+L1tOeap8V79XMto+vt3Sneq124cMHMmjXLdOzY0RQsWNDYbDZTuHBhExkZaSIjI014eLixLMs8/fTTrg7VGOP+8d7Ml1+p58jp06dNixYtXHouuFO8I0aMMEFBQWbv3r3GGGPWrFljwsPDzZAhQxx9Dh06ZBo0aOCSya2BW+EtwEW8vLz0wAMPqFOnTi6N4UZsNpsk6X//+5/+97//6f7778/psG5K6dKlNWrUKD344INau3atNm3apKioKB08eFCnTp1S7dq1NXDgQD311FOuDlWSZ8TraeeDp8Xr7Z32LcdutztilP4vpy1btmjLli168MEHcy2+a3lavKk84bl2NU+I19Oea54W79XPNcuyJEkpKSmy2WyOv90p3lTGGAUEBKhXr15q0aKFtm/frm3btmnXrl36888/lZCQoBYtWqhDhw7q27evq8P1iHivfn3NSOo5cfjwYR0+fFj33XdfToeVIXeI1xgjy7JUsWJFJSQk6K+//lL58uW1YcMGxcbG6sknn3T0/euvv7R7927961//ytYYgJxmGWOMq4PA7e3aDwHuKjo6WgsWLFCHDh1UpkwZV4fjeJNKdfHiRZ0+fVrBwcG6ePGiQkJC5O/v78IInXlavDfibufDjbhDvKdPn5a/v79iY2MVGBioQoUKOZalvhWlniNRUVH65JNP9Pjjj6ty5crEmwme9lzztHhvxB2ea5nh6ngvX76smJgY2e12nTx5UsWLF1dERIRjubkyKtjxf4Kr472RpKQkJSUlKV++fPrnn39UoEABV4d0XZ4W79XOnj2rtWvXqnbt2rrjjjtcHc4N5XS8f//9t+rXr6+yZctq8uTJGj16tI4fP66dO3c6+nTv3l3fffed9u3bp+LFi2d7DEBOoWiBW2a325WQkKDg4GBXh3Jbyqjo467FIE+LF7cuKipKb7/9thYuXKiUlBRFRESoaNGiqlGjhlq2bKnGjRu71euHp8WbEU97rnlavLh1Gzdu1BtvvKGFCxfKz89PgYGBCg0NVa1atXTvvfeqffv2KliwoKvDvCnXFt9S/05JSbmpkS+5zdPixfW9/PLLeumll7RgwQL1799fvr6+8vLyUteuXTVz5kzt2LFDU6dO1WeffaYnn3xSH374oatDBjKFogVu2UcffaQXX3xRzz77rB566CHVrVs33WHV0v+9Kf7zzz9KSUlRWFhYLkcrnThxQsHBwQoICMj1fWcF8eYs4s1Zy5Yt08CBAxUVFaXatWurSJEiOnfunHbs2KFz584pICBArVq10qOP/r/27jwuqnr/4/jnOzPsbqAiKIpLmku5XU3FxMjrniuiWZRaoTfX1Op2vXm1tGumuV1zSS3TvF6Xflpsag/NciGxFBcQUFwIQRQREBGGmfP+/eGdiZEB9eaZwxc+z8ejR3nmTPNqmjkz85kz54TSwIEDqVq1aqQoChE93G63VblXtscC96pLtt6oqCj6y1/+QpmZmRQUFETNmjWjjIwM+umnnyg7O5uIiNq0aUPjxo2jkSNHkp+fn6bbhpSUFCoqKqImTZpIcR/L1CtTK1HF6bUMmHbv3k3Dhw+nWbNm0QcffEArVqygBQsWUFZWFhEROTs7EwAqLi6madOm0YwZM6hhw4aadTP2P3Hg8TNYJdWjRw8IIax/dejQAQsWLEBiYqLNeiUPrvXhhx/ijTfeQH5+vqNz0aFDBzRu3Bjz58/HmTNnHuo6aWlpds9r7gjcqy7uVVdgYCCaNm2KyMhIAMCtW7eQlZWFCxcuYMOGDejVqxcMBgNq166NuXPnatJYkky9sj0WuFddsvV2794dTz75JA4dOgTg91Olm0wm7Nu3DyNGjICTkxMMBgPCwsLKPB2uo3Ts2BHe3t6YNGkSwsPDkZaWVurMQoDte534+HikpaU5MtNKpl6ZWoGK02v590+bNg0dOnTA6dOnrZcVFBTgP//5D1588UUEBgZi6tSp2LJly2O9fcYciYcW7A/JysqCn58fWrZsiWXLluGFF16Ap6cnhBDQ6/Xo3bs3vvjiC2RkZFivEx8fjwYNGqBFixYO77169arNgEUIgZ49e2L16tVITU21Wddy9PWEhASMGDECS5Ys4V7u5d5HkJaWBicnJ3z44YdlnhGgsLAQUVFReP755yGEwKRJkxxc+TuZemV7LHAv997f6+zsjLlz59qc6eT+511CQgLGjBkDIQSGDh2qyRcdAJCeng4hBNzc3ODk5AQhBNq1a4dZs2bh0KFDyMrKKnUWiYSEBPTt2xd//etfubeStFbU3u3bt6NZs2bIzc0FcO91qiRFUcp8TWNMFjy0YH/IkSNHUKNGDYSFhQG4903J0aNHMWfOHAQEBMDZ2RlCCNSqVQsvvfQS9u/fj+XLl0MIgVWrVjm899///jeEEAgLC8PSpUvRs2dPuLm5QQgBDw8PhISE4JtvvrH55mn16tUQQmD58uXcy73c+wj27NkDJycn622XdWo4RVFw6tQp9OrVC0II/Pzzz47MtJKpV7bHAvdyb0k//vgjXFxc8NFHHwEo/Vwzm83WD1mXL1/G6NGjIYTA3r17Hd4KADt27IAQAhMmTMDOnTvx6quvWk/F6+rqiqCgICxduhRxcXHIyckBAKxduxZCCKxYsYJ7K0lrReq1DPvOnDmD+fPnw8fHB7/88ovNOsXFxdbTCfPQgsmOhxbsDzl48CCEEHZ3k87NzUVkZCSmTJmCNm3aWL/9sbyRun37tsN7//nPf0IIgdjYWGvjvn37MGPGDLRv397aWL9+fUydOtW6i6per+de7uXeR5SUlIQ6depg6NChKCgogKIoMJlMZb55OnPmDIQQWLp0qWND/0umXtkeC9zLvSVlZGTAx8cHgYGByMrKeuD6V69ehU6nwz/+8Q8H1JW2ePFiCCFw+PBhAEB+fj6OHz+OpUuXYsiQIahXrx6EEPDy8sLIkSOxfv16DBgwQLP7V6ZemVorYu8zzzwDd3d3GAwGtGzZErt27cLNmzdt1uE9LVhlwEML9ofFxMTYHL+i5DckFleuXMHOnTsxYMAACCEwePBgR2eiuLgY8+fPhxACZ86cKdV47do1bNu2DWPHjkWTJk1sdrMdOHAg93Iv9z4is9mM0NBQ62Cz5G7gZrPZ+mfLN0G//vorfHx8MHnyZO4th2yPBe7lXntmzZoFIQTGjRuHixcvWpebTCbrnheW51pcXBz8/Pwwfvx4h3eaTCYsWrQIQggcP3681P2bnZ2N/fv3Y86cOejZsydq1KgBvV4PIQReeOEF7q0krRWx12w2Y+PGjRg1ahT8/Pysw5Jx48Zh8+bNiI+PR1FR0WO/Xca0wEMLpqr7d/m0bOy/++47TXru3r2LmJgY6y6yZrPZ7i7giYmJWLduHZ5++mkIIRAREeHg0nu4V13cqx7Lm7kLFy4gKCgIQgh07NgRmzZtKvPbpjVr1sBgMGD37t2OTAUgX69MjwWAe9UmWy8AZGZmIiQkBHq9Hi1atMDixYuRnZ1td90VK1Zo9lyzuHTpknV3f0VR7N6/qampiIiIQGBgoOb3r0y9MrUCFa+3sLAQCQkJ+Oyzz9CrVy+4urrCyckJHTt2xNtvv41vv/0WKSkpqt0+Y47ApzxlDnP9+nUKDQ2lY8eOUW5urtY5peDeEI+EECSEIEVRqG/fvhQbG8u9jwH3qqsi9546dYo++ugj2rlzJxER+fr6Up8+fWjIkCHUunVrSk9Pp8TERJo1axb5+vpSfHw89/4BFfmxYA/3qqsi96anp9OyZcto3bp11hbLc61JkyaUm5tLKSkp9NFHH1Hz5s0pLi5Ok07L/VfWZSXvX6PRSC+88IKm73Vk6pWp1dJUUXsBUEFBAZ09e5YiIyPpu+++o4SEBDKZTBQaGkqbNm1SvYEx1ag+FmHsv06dOoWGDRvilVde0TqlXJaJeWRkJKpVq4Zx48ZpXFQ+7lUX9z6eHgCIjo7G4MGDbXZPd3V1tf5z9+7dsW/fPg1r5eot+VM8e79XroiPBe5Vj2y9JcXExGDKlCnw9/e3Pr8sZ2YQQqBPnz6IiYnROrNclvt8z549cHd3x5gxY7QNegCZemVqBSpGr6IouHnzJvbs2YMXX3wRn332mcMbGHucDFoPTZic8N8ddMqaNtvTtm1bio2NJZ1Op1bWY2Hpy8zMpIKCAho/frzGReXjXnVx76NTFMXaUfL53q9fP+rXrx/l5ORQeHg4HTt2jIqKiqh69er0xBNP0IgRI8jb25t7/4dWe9viivxY4N7HQ7be++G/30p37dqVunbtSv/85z/pp59+ojNnzpDJZCK9Xk9t2rShwMBAqlmzpta55bLc5wUFBeTj40OTJ0/WuKh8MvXK1EpUMXqFEOTl5UV9+/alXr16Vfj33ow9CP88hP1hJd80PY711GA2m0mv1z/y9a5cuUL+/v4qFJWPe9XFveqLjY2lgwcP0p07d6hFixbk7e1Nvr6+5O/vT9WrV7euZzQaydnZWZPGkmTqvb/Vx8eHGjRoQP7+/uTm5mb3OhXpscC9j5dMvWazmXQ6XamhitlsJiGEzXsElLMbvqOU1fsgGRkZ5Ovrq1JV2WTqlamVSL5exiobHlqwR3bw4EFKTk6mIUOGUL169azLFUUhIip3MKHl4ILo998bPqhBURTrbxK1fOPEveri3scvKSmJFi1aRF988YXNcg8PD2rdujUFBQVR7969qXPnzlSjRg0CQIqi/E9DmarW+zCtffv2pS5dupC7u7vN44DI8R8CuZd7y6IoCgGw+zwq+T5B6/cMFuX1lqWi3r9l0apXplYi+XoZqyx4aMEeWffu3SkmJoaefvppCgoKov79+1OPHj3I3d3dus79G/UTJ05Qhw4dNNlof/zxx9SsWTPq27cv1ahRw6aRqPwhixa4V13cq66QkBCKjo6ml19+mYKDg+nmzZuUmZlJCQkJdOTIEUpKSiJvb2969dVX6f3336dq1apxbyVs5V7uvd9bb71FrVq1opEjR5Knp6d1ub29LCoC7lWPTK1E8vUyVimpd7gMVhldvXoVQgh4e3vD3d0dQggYDAYEBATggw8+wPHjx0td58SJE6hRowa6du3q8N7U1FQIIVCrVi107twZf//733HkyJFSp6cymUwwGo0AgN9++w1Hjx4FYP9gZtzLvdxr3+XLl6HT6fDOO++UuiwnJwdxcXFYtWoVevbsCSEEnnrqKZw6dcqhjSXJ1CtTK8C9apOt17Its7x/GDt2LKKjo2EymWzWK7ktu3LlCnbt2oWsrCzurUS9MrXK2MtYZcVDC/ZIvv32WwghMGfOHBQXF2Pt2rV47rnnrBv0mjVrYsCAAVi5ciUSExMBAFu2bIEQQpMjFy9ZsgRCCLRu3Ro6nQ5CCHh4eKB3795YsmQJEhISSl3n008/hRACX375JfdyL/c+gtWrV8PFxQXh4eEAAKPRWGpwoigK4uPjMXHiRAghMGzYMBQUFDi8FZCrV6ZWgHvVJlvvihUrIIRAp06d4ObmZn3P0Lx5c7z77rt2v/CwbP82bNjAvZWoV6ZWGXsZq6x4aMEeyapVqyCEwI4dO2yWJyUlYd68eWjTpo11g+7n54fRo0ejS5cuEEIgPz/f4b3jx4+HTqfD2bNncf36dSxcuBAdOnSwNvr4+GDUqFHYuHEjMjMzAQBjxoyBk5MTbt++zb3cy72P4PPPP4eLi4t1+1BUVFTu3h6TJ0+GEMLu8MURZOqVqRXgXrXJ1jtlyhQIIXD58mUAwFdffYWgoCCb0wl37doVixYtQmpqKgBg7NixMBgMmmzLuJdbZe1lrLLioQV7aIqiICIiAr169cLp06ety+5f58iRI5g0aRLq169v3aAPHjzY4b25ubkYOnQonJycrLvsWRw/fhwzZsxAo0aNrI0tW7bEiBEj4O7ujv79+3Mv93LvI0pKSoKLiwt69OiBvLw863JFUWx+0lJYWAgA2LlzJ9zc3LB69WqHtwJy9crUCnCv2mTqzcvLQ0hICIQQNq0AkJaWhoULF9p84eHq6orAwEC4uLhosi3jXm6VtZexyoyHFuyRFBYW4ty5c3anx/YGGGPGjIEQApGRkY5KtMrPz8f8+fPx5ptvWneJvb+xsLAQ0dHRCA0NRY0aNawvPBEREdzLvdz7CCwflGbNmgUhBDp06IDt27cjNzfXZj2TyWRd98svv4Rer8fevXu5t5K0ci/33q+oqAgbNmzAu+++a33vUFxcXOrYPHFxcXjrrbfg6+tr3ZZp8d6Be7lV1l7GKjMeWrDHzrIxz8rKwoABA1CrVi3NWm7duoXLly+XeoEBSn8ATE5ORqtWrVCzZk0H1ZXGveriXvVdv34db7zxhvWN24ABA7B8+XL88ssvNgcuu3TpEgICAuDt7a1hrVy9MrUC3Ks2mXrv3r2L69evl9qWKYqC4uJim2W3bt1Cu3btNN2Wca96ZGoF5OtlrLIyaH32Elb5iP+e1vT48eMUHR1NL730kmYttWrVolq1atm9zNJpMpnIYDDQpUuXKCMjg0aMGOHAQlvcqy7uVV/dunVp3bp1NGzYMFq8eDHt3buXoqOjydfXlxo2bEjNmzcnRVFo//79VFxcTLNnz+beStjKvdxbkqurK7m6upZaLoQgg+HeW1Gj0UjOzs4UGxtLv/32m6bbMu5Vj0ytRPL1MlZpaT01YZVXfHw8xo4di7i4OK1THsqMGTMghMDPP/+sdcpD4V51adlr2Yui5Dc7JpOp3APtVZT7t2RzXl4e9u/fj7fffhtt27a1fiNcp04dtGrVCrt378adO3c0rJWrV6ZWgHvVJlvvw5o+fTqEEIiJidE65aFwr3pkagXk62VMJgIAtB6cMHkAsH7D+zAKCgrI3d1dxaLHw2w20759+yg6OppWrFihdc4Dca+6Kkqv0WiknJwc8vb2tlluNptJp9NZn4sVpbcsiqKQTqeja9eu0blz56hBgwbUsGFDcnNz0zrNLpl6ZWol4l61ydZrz8mTJ2n37t30wQcfaJ3yULhXPTK1EsnXy5hMeGjBHigvL48MBoMUw4c/QlEUKi4uJhcXF61THgr3qkurXpPJRIcPH6Y1a9ZQRkYG5eXlkYeHBwUGBlJwcDD96U9/sq5bcohYEe7f8oaa9i6zfMDSiky9MrUSca/aKlNvRcS96pGplUi+XsYqK+1ewZg0Zs+eTQsWLKADBw5Qeno6mUymB15HURQHlNl37do1MhqNj3w9nU6nyQc+7lWXbL1Lly6lkJAQ2r59O2VmZlJ2djYdPXqUPv74Y+rcuTO1a9eO1q5dSwUFBTZvpLTqTUxMpPz8fCL6/TgbuHeQZ5v1hBA2yyx7iziaTL0ytRJxr9oqa+/9zGaz6m32cK96ZGolkq+XsaqA97Rg5bpy5Qo1adKEiIi8vLyoW7du1KdPH3rmmWfoiSeeoNq1a1vXtUyjL1y4QOvXr6du3brRkCFDHNp79epVCgsLszY2b96c6tSpY3dKbum1HEBJC9yrLtl6r1y5Qk899RS1b9+e1q5dSz4+PuTl5UXx8fH0/fff0549e2j//v1kNpupS5cutHDhQgoMDNSklYgoLS2NhgwZQj169KDu3btT+/btqWnTpqTX663rWO5Xy98LCwvtHtSMe+Vt5V7u5V7urQytMvYyVmU8+mEwWFWydu1aCCEwfPhwhISEoF69ehBCoFGjRnjllVewadMmnDlzBnl5edbrrF69GkIIfPXVVw7vnT17NoQQcHJyQv369fHiiy9iw4YNiIuLQ05Ojs26loMa/t///R/CwsJw4cIF7uVeTXvnzp2LOnXq4PvvvwcAu6c6PXz4MEJCQiCEQNu2bXHixAkApU+B6ghz5syBEAIuLi7w8PDAs88+i9mzZyMqKgppaWk261r6Nm/ejN69e+P06dPcW0lauZd7uZd7K0OrjL2MVRU8tGDlevfddyGEwNGjR5Gfn4/o6Gh88MEHeO6551C9enUYDAY89dRTmDp1KiIiInDmzBkEBwdDCIH8/HyH9/bu3Rvu7u6YPn06+vbti1q1akGv16Nly5aYOHEidu7cieTkZGubyWTC8OHD4ezsjIKCAu7lXk17Q0JC0LRpU1y+fNnaA9wbXtw/wFi3bh2EEBgxYoTDOy0GDhwIDw8PfPLJJ3jjjTfQqFEjCCFQt25dDBo0CIsXL8bhw4eRlZVlvU5ISAh0Op0mZzKQqVemVu7lXu7l3srQKmMvY1UF/zyElamgoICmTJlCW7ZsoczMTKpZsyYR3TtQ4JUrV+jUqVN0+PBhOnjwIMXHx5PBYKCWLVvSyZMnaeDAgRQeHu7Q3szMTBowYADdvn2bkpOT6fLly3T69Gk6cuQI/fDDD3TmzBkCQO3bt6devXpR//796ebNmzR+/Hjq2LEjRUdHcy/3atZLRLRgwQL6+9//Tr/88gt17NjR7jpms5kAkMFgoJCQEDp+/Djt3buXnnzySYe2Xr9+nQYNGkQZGRmUmppKt27doosXL1JsbCzt2bOHjhw5QtnZ2dS4cWMKCAig/v37k9lsprfffps6depEUVFR3FsJWrmXe7mXeytDq4y9jFUpGg5MWAWnKArCw8Mxc+ZM3Lhxw7qspDt37uDUqVP44osv8Prrr1t/PhIVFeXw3oSEBPj5+WHYsGE2y+/evYuzZ89i8+bNCAsLQ4sWLaDX6+Hp6YlWrVpBCIHw8HDu5V5NewHg0KFD0Ol0aN++Pb7//nu7e3soimJ9Hs6ePRvu7u7Wn4g4UkpKCtq3b4/g4GCb5SaTCRkZGfjxxx8xf/58PPvss3Bzc4OzszP8/Pw0u39l6pWplXu5l3u5tzK0ytjLWFXCe1qw/wnsnALq/PnzNHr0aLpw4QLl5OQ4vKmwsJDWr19Pnp6eNGrUKDIYDKU6c3NzKTExkU6dOkVRUVH03XffUa1atSg7O5t7uVfTXou//e1vtHDhQmrSpAlNmjSJBg4cSP7+/qUO8pWXl0dTp06liIgIysrKcnin0Wikb775htzd3WngwIFkMBhKrVNUVETp6el0/vx5+vbbb2n9+vXk4eGhyf0rU69MrdzLvdzLvZWhVcZexqoUDQcmTAKW39SXp7i4GACwb98+uLi44PXXX1c765HZO0jh1q1bodPpMH78eA2Kyse96qrovRs3bsSTTz4JIQSaN2+OqVOnYufOnThy5AgSExORnp6Od999Fx4eHpg2bZrWuQ9l165dcHZ2RlhYmNYpD0WmXplaAe5VG/eqi3vVI1MrIF8vYzIrPUJkrISSp3gqi2USfebMGTKZTDRhwgS1s+zCf8+hbe989CXPs23588mTJwkAhYWFObTTAgCZzWa7ewBwb9XrtfQIISg0NJQaN25Mu3btor1799Jnn31Gn332GdWpU4eMRiMVFRXR3bt3aeTIkTRz5kzNWomo1B5XZTl8+DAVFxfT+PHj1cwqk0y9MrUSca/auFdd3KsemVqJ5OtlrCrhoQV7bIKCgmjZsmXUuXNnTW5fCPHAFxrL5Tdu3KDk5GRq0aIFderUyRF5dlssA5+S3YqiWAcv3Pu/k623ZI9er6eePXvSs88+S+PGjaPjx49TYmIiZWRkUEpKCjVq1IgGDBhAoaGhdndfdWTrw7h16xZlZ2fTU089penj4WFp3StTKxH3qo171cW96pGplUi+XsaqEj6mBbPL8i21Xq9/pI24LIqLi2n//v1kMBjoz3/+s8Nv32w20/nz5+nWrVvWZU2bNqV69erZXZ97H41svfbcv3eI0WgknU5HBoPB+tyUhdlstu7JotVQ81HI1CtTKxH3qo171cW96pGplUi+XsZkx0MLVkpKSgo1a9bM+mdFUUhRFM2+0S2P5YNdRW68X1JSEv3tb3+jqKgoMhqN5OLiQp6enuTv708BAQHUr18/CggIIA8PD61TiYh7tVZyzxCi3x/z9w81GGOMMcYYq4x4aMFspKSkUPPmzally5b02muvUWhoKPn4+FgvN5vNRHRv93XLh6Y7d+5Qfn4+1a5d2+FDg7y8PMrJyaFGjRrZbaxo0tPTqV+/fhQfH0+vvPIK1alThwwGA8XHx9OhQ4coLy+PatWqRcOGDaMJEybQM888Q0SP/jtL7pWj99atW3T69Gnq2rUrubi4OPS2/xfcqx6ZWom4V23cqy7uVY9MrUTy9TJWZT3Oo3oy+S1cuBBCCJu/nnvuOXz99dcwGo026xYVFQEA1qxZg2eeeQYnTpxweO+MGTMghECPHj3wxRdf4M6dOzaXFxcXw2w22yzLyMhAZmam3TNIqO3999+Hp6cn1q9fb11WVFQEo9GI1NRUrF27Ft27d4dOp0Pr1q0REREBwP7ZLrhX/t63334bQgh07NgR8+bNw9mzZ8tc19KYnJyMuLi4Us9HR+Be9cjUCnCv2rhXXdyrHplaAfl6GauqeGjBbAQHB8PNzQ3//ve/8Y9//AOtW7e2Di+cnJzw4osvYv/+/TbXGT58OIQQyM/Pd3jv008/XWrIMmzYMERGRtqsZ3mhycvLw8svv4y+fftaT9XqSO3atUO/fv2QmZlp01XSjRs38K9//QteXl6oXr06EhISHJ1pxb3qat++PXQ6Hby8vKyP36CgIKxduxZpaWml1s/Pz8fo0aPRtWtXTd4scS+3ci/3ci/3VpZWGXsZq6p4aMGsbty4gYCAAPj4+FiXFRUVITo6Gq+//jp8fX2tG/S6devivffew9dffw1fX18MGjTI4b0pKSmoW7cuevbsiZ9++glvvvkmGjVqZG309PTExIkTbfYAOXnyJDw9PdGzZ0+H92ZlZaFTp07o2rXrA9ctLi7Gf/7zHwghMGHCBAfUlca96rp06RLq16+Prl27Ii4uDvPmzUNgYCBcXV0hhED16tUxcuRI7Nq1Czdv3gQAxMbGwsvLC0FBQdxbiXplauVe7uVe7q0MrTL2MlaV8dCCWV27dg39+vVD7969UVxcXGqCfOPGDWzatAmDBw+Gh4eHzd4N9+/Z4Aj79u2DEAIzZ860LsvJycG2bdsQEhKCmjVrWvuaNWuGjz/+GH/9618hhLD+LMBRLN/4h4WFQQiB8PBwmEwmKIpS7h4f3bt3R+fOna0vlo7Cveo7cOAAdDodpk6dal12+/Zt7N27F9OnT0fbtm2tj98GDRrgrbfewoQJEzR5/HIvt3Iv93Iv91amVhl7GavKeGjBbJw/fx5nz561HgdCURTrh7+SUlNT8eGHH8Ld3R2enp5apOLo0aNo2LAhPv/8cwAo9eH0ypUr+Ne//oXnnnvOZsCiVS8AREVFQQiBFi1aYO/evTaXmUwmm/s6JycHQ4cORYsWLbRIBcC9aoqLi0Pz5s2xYsUKa19JGRkZ2Lp1K8aMGYMmTZpo/vjlXm614F51ca+6uJdbLWTrZawq46EFe2iWAYZlox4TEwN3d3eMHz9ekx6j0Yj4+Hhcu3atVOP9kpOTERoaCiEEJk2a5MjMUrZs2YJ69epZfze5bds2m+OBWD5UR0ZGon79+ggLC9MqFQD3qikvLw/Z2dk2y+4/cCwAXL16FZMnT4YQAhMnTnRUXincqx6ZWgHuVRv3qot71SNTKyBfL2NVlWPPT8mkJoSwOY3o119/TXfv3qXx48dr0uPk5EStW7e2WVayEQApikJ6vZ6aN29OzZs3JyKicePGOby1pODgYCIiWrJkCR08eJAOHjxI3t7e1LNnT+rduze5uLjQ2bNnacOGDeTi4kLTpk3j3kraW7169VLLdDodEdk+fuvXr09eXl5ERPTaa685tLEk7lWPTK1E3Ks27lUX96pHplYi+XoZq6oEAGgdweRz584dmjRpEkVFRdH169c1aVAUhXQ6HZnNZpthSkkASAhBycnJNGjQIDKZTJSSkuLgUvsAUHh4OH3++ee0b98+MplMNpd369aN3n//ferfv79Ghba4VzsXL16koUOH0u3bt+nSpUta5zwQ96pHplYi7lUb96qLe9UjUyuRfL2MVTa8pwUjot8HAA/Lw8ODNm7cSHl5eSpWlc/SW9bAgujenhdE9z7A6nQ667fwWsK9n2WRTqejwYMH0+DBgyk3N5cOHjxIFy9epPr161O1atWoc+fO5O3trXUu91YAQgjy8fGhUaNGaZ3yULhXPTK1EnGv2rhXXdyrHplaieTrZayy4T0tWCkPM8AwmUylfi7iSHv27KGzZ89SXFwceXt7U+fOnemJJ54gf39/ql27Nun1euteFvd3GwyOn9WVtTeI2WwmIcQjDYwcgXvVVd7eQWpc74/iXvXI1PpHbpd71b1d7lX3drlXvdvk+5Yx9jB4aFHFZWZm0ieffEJ9+vShLl26UK1atayXWR4a93/w11JOTg4tWLCAFi1aRHq9nsxms/UyLy8v6t69Ow0bNoyGDh1q89+i1YvM/QOgknsBlFRyOQAym82aDFe4V10P23s/o9FIzs7OaueVwr3qkamViHvVxr3q4l71yNRKJF8vY+yeivX1I3O4VatW0dKlS+nNN9+k0NBQWrx4MR0/fpyKiopICGEdWCiKYh0QHDx4kPbs2aNJ77p162jlypU0dOhQ+v777ykxMZG2bt1Kc+fOpW7dulFMTAy99tpr1KtXL9q9e7f1elpNxdeuXUujRo2iyMhIys/Pt/nWX1EUUhSFiMhmuRBCkw/U3Ftxeu+n1Rsl7lWPTK1E3Ks27lUX96pHplYi+XoZY//1B848wiqB9u3bw9nZGV27doWzszOEEGjcuDFefvllrF+/HufOnbNZ/86dOxg8eDB0Oh3u3r3r8F5/f38MHDgQWVlZpS67evUqIiIiMH78eBgMBgghsG7dOoc3ltS4cWMIIeDq6oouXbpg9uzZiImJsZ5206K4uBjAvft36dKlOHDggBa53Ksy7lWXTL0ytQLcqzbuVRf3cquFbL2MsXt4aFGFpaamonHjxvjTn/4Eo9GImJgYzJ49G+3atYMQAnq9Hm3btsXkyZOxfft25ObmIjY2Fj4+Phg0aJDDe8+dO4dq1aph1qxZ1mVms7nU+bSLiooQGRmJpk2bwsvLC0ePHnV0KgDg7NmzEEKgU6dO6N27N4QQEEKgWrVq6Nu3L5YvX15qKHTo0CEIIdC9e3fu5V7uraS9MrVyL/dyL/dWhlYZexljv+OhRRV27NgxeHl5YcyYMQAAk8kEs9mMzMxMREdH4y9/+Qv8/f0hhIC7uzsCAwPRq1cvCCEQHh7u8N6EhAT4+flh1KhRAO5NwUsOLBRFsZmU7969G0IILFy40OGtALB161YIIbBkyRIAQFJSEhYuXIj27dtbXyh9fX0xevRobNq0CdnZ2fj0008hhEBERAT3ci/3VtJemVq5l3u5l3srQ6uMvYyx3/HQogo7f/48hg8fji1btti93Gg04vLly9i8eTNGjhwJLy8vCCHg6enp4NLfdenSBdWrV0dUVFSpyywDC8sg4+bNm2jSpAlGjBjh0EaLtWvXQghhtzU2NhbTp09Hw4YNrS+ULVq0gI+PD2rWrOn4WHCv2rhXXTL1ytQKcK/auFdd3MutFrL1MsZ+x0OLKi4nJ8fu8SFKsgwB1qxZAyEEJk6c6Ig0G5aBxLFjx9CgQQMIIfDWW2/h2LFjpY6tUVhYCAA4evQo6tevj6lTp2rSGxMTg+nTp+PChQs2y0u6e/cuIiIiMGbMGNSsWRNCCEyePNnRudyrMu5Vl0y9MrVaurhXPdyrLu7l1pJdMvUyxmzx0KKKun8jDfz+85CyvPPOOxBC4Ndff1UzrVwmkwkbN26Er68vhBBo06YNpk+fjh07diA+Pt7an5aWhtGjR8NgMGjae/v2bRQVFdm97P7/B5MmTYIQAidPnnRAmX3cqy7uVZdMvTK1AtyrNu5VF/eqR6ZWQL5extg9AgC0PoMJ0wYAEkLQtWvXyNvb2+Yc1WazmXQ6nfWUp2lpaTRw4EBKT0+nGzduaJVsdePGDVq5ciVt376dkpOTyd3dnRo0aEDVqlUjLy8vSkxMpBs3btC4ceNo1apVWueWyfL/ICUlhUaNGkW5ubl0/vx5rbPKxL3q4l51ydQrUysR96qNe9XFveqRqZVIvl7Gqgrdg1dhlY3JZKIff/yRxo4dS926daPg4GDq06cPzZw5k44ePUpERHq93jqwICJydXWlsWPH0sqVK7XKJqJ7LyZms5nq1q1L7733Hm3bto0+//xzCgkJIb1eTydPnqTTp09TvXr1aNmyZbRo0SJNex/Ech+fO3eOTpw4QcOHD9e4qHzcqy7uVZdMvTK1EnGv2rhXXdyrHplaieTrZayq4D0tqqDFixfTvHnz6Pbt2/TEE0+QXq+npKQk6+UtW7aksLAwGj16NPn4+FiXG41GMhgMNntkVASKolBhYSE5OztTbm4uXbt2jdq0aaN1FhH9PrF/kMzMTNqzZw8NGjSIvLy8HFBmH/eqi3vVJVOvTK1E3Ks27lUX96pHplYi+XoZY/fw0KKKuXTpEj399NPUsWNH+uqrr8jZ2Znq1atH165do/DwcNqxYwcdPHiQiIief/55+uSTT6hjx46a9d69e5dSU1OpUaNG5ObmZnOZoigkhLC++Nz/QqQoisMHLOX1PojZbCa9Xq9SmX3cqy7uVZdMvTK1EnGv2rhXXdyrHplaieTrZYzZV7G+Mmeq+/LLL8nDw4PmzJlDTZo0oQYNGpBeryc/Pz9688036cCBA3Tq1Cl65ZVX6MiRI/TSSy/Rr7/+SkT3hgKOtnz5cgoNDaVly5bRDz/8QOnp6WQ2m4mIrMfcwL0DyloHFjdu3CCTyaTJHiHl9ZbF0qvFCyP3qot71SVTr0ytRNyrNu5VF/eqR6ZWIvl6GWP28Z4WVUxwcDDFxcXRDz/8QI0aNSKTyUQGg4EAkKIoNhvo5cuX0/Tp02nMmDH05ZdfatLr5+dH6enppNfrqWbNmhQQEEB9+vShLl26UNOmTal27do269+5c4fmzp1LN2/epPXr1zt8cPFHetetW+fwF0ju5V7u5Vbu5V7u5d7K2CpjL2OsDKqck4RVWPPmzYMQAvHx8WWuU/KUT8HBwWjUqBFSUlIckWcjKSkJ1apVQ0BAAFauXIkhQ4bA29sbQgj4+/tjzJgx2Lx5M86ePYtbt24BAH7++WfUrFkTQ4YM4V7u5V7urRC9MrVyL/dyL/dWhlYZexljZTNoPTRhjhUUFERERC+//DJ9+umn9Oyzz5Kzs3Op9Sy/43vyyScpOjqa8vPzHZ1KycnJVFhYSH369KFJkybRCy+8QElJSRQTE0MHDhygb775hrZs2UKtW7em559/nvr160f79++nvLw8CgsL417u5V7urRC9MrVyL/dyL/dWhlYZexlj5dB6asIcy2QyYebMmRBCoFWrVli5ciWuXbtmd93s7Gy8+uqrqFu3roMr79mxYweEENi2bZvNcqPRiPPnz2Pnzp2YNm0a2rVrB2dnZ3h4eMDd3R2enp7cy73cy70VplemVu7lXu7l3srQKmMvY6xsPLSootasWYNmzZpBCIEGDRpg8uTJiIyMxOnTpxEfH4+rV6/ivffeg6urK2bMmKFJo6IoSEhIwMWLF61/vl9+fj5OnDiBrVu3ok+fPhBCYMqUKY5OBcC9auNedXGvemRqBbhXbdyrLu5Vj0ytgHy9jLGy8dCiilIUBcnJyXjnnXfQsGFDCCEghEC9evXg5+cHvV4PIQReeukl/Pbbb1rnlmLvhWfKlCkQQuDEiRMaFJWPe9XFveriXvXI1Apwr9q4V13cqx6ZWgH5ehmr6vjsIYzu3LlDsbGx9N1331F6ejpdv36datSoQSNHjqTg4GBydXXVOrFMiqKQTqejy5cv05AhQ+jWrVuUmpqqdVaZuFdd3Ksu7lWPTK1E3Ks27lUX96pHplYi+XoZq6r4QJyMPDw8KCgoiIKCgqi4uJicnJy0TnpollOaXr16lYqLi2nixIkaF5WPe9XFveriXvXI1ErEvWrjXnVxr3pkaiWSr5exqor3tGCVAgBKS0sjLy8v8vDw0DrngbhXXdyrLu5Vj0ytRNyrNu5VF/eqR6ZWIvl6GatqeGjBGGOMMcYYY4yxCkmndQBjjDHGGGOMMcaYPTy0YIwxxhhjjDHGWIXEQwvGGGOMMcYYY4xVSDy0YIwxxhhjjDHGWIXEQwvGGGOMMcYYY4xVSDy0YIwxxhhjjDHGWIXEQwvGGGOMMcYYY4xVSDy0YIwxxhhjjDHGWIXEQwvGGGOMMcYYY4xVSP8PJltXwgcwQZcAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1100x500 with 1 Axes>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "counts_9 = job_9.result().get_counts()\n",
    "qiskit.visualization.plot_histogram(\n",
    "    counts_9, legend=[\"ss-dd\", \"qiskit\"], number_to_keep=10, figsize=(11, 5)\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2e0ab4c3",
   "metadata": {},
   "source": [
    "In this case, Superstaq with DD is once again able to provide outstanding improvement -- more than 12.6x in terms of probability of '11111111' success and about 25.3x in terms of relative strength."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}