{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Design fast optimal SNAP gates in superconducting resonators\n",
    "**Engineering fast, leakage-free gates in superconducting cavity-qubit systems**\n",
    "\n",
    "Boulder Opal provides a [module designed to simulate and optimize superconducting systems](https://docs.q-ctrl.com/boulder-opal/toolkit/apply/superconducting-systems/learn-to-simulate-with-the-superconducting-system-module).\n",
    "The exceptional size of the Hilbert space of quantum oscillators can be viewed as a resource to encode and process quantum information, but can also introduce channels for gate-performance degradation.\n",
    "For instance, leakage to unwanted levels due to the spectral content of a control waveform can arise as the number of relevant oscillator modes increases.\n",
    "In practice, long pulse durations are used to narrow the operation's spectral range and, consequently, prevent leakage to neighboring levels. Longer gates, however, expose the system to other limiting factors such as spontaneous decay and cavity losses. \n",
    "\n",
    "In this notebook, you'll have the opportunity to use Boulder Opal optimization tools to make Selective Number-dependent Arbitrary Phase (SNAP) gates with transmons faster while suppressing leakage at the same time.  We will cover:\n",
    "- Simulating leakage in SNAP gates.\n",
    "- Optimizing fast SNAP gates which suppress leakage to a ladder of states in a harmonic oscillator.\n",
    "- Validating optimized gate performance using simulation.\n",
    "\n",
    "Ultimately we will show how model-based numeric optimization provides a means to dramatically enhance gate speed without performance degradation in qubit-oscillator systems."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports and initialization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy.linalg import expm\n",
    "import matplotlib.pyplot as plt\n",
    "import qctrlvisualizer as qv\n",
    "\n",
    "import boulderopal as bo\n",
    "\n",
    "# Plotting style.\n",
    "plt.style.use(qv.get_qctrl_style())\n",
    "\n",
    "# Data containers.\n",
    "controls = {}\n",
    "simulation_results = {}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Evaluating a standard SNAP gate\n",
    "\n",
    "The system consists of a superconducting transmon system coupled to a cavity in the dispersive limit, as given by the following Hamiltonian:\n",
    "\n",
    "$$H = \\omega_C a^\\dagger a + \\frac{K}{2} (a^\\dagger)^2 a^2 + \\omega_T b^\\dagger b + \\chi a^\\dagger a b^\\dagger b, $$\n",
    "\n",
    "where $\\omega_C$ is the cavity transition frequency, $a$ is the annihilation operator of a cavity excitation, $b$ is the annihilation operator of the transmon system, $K$ is the Kerr coefficient, $\\omega_T$ is the transmon frequency, and $\\chi$ is the dispersive shift. The basis states in the Hilbert space will be denoted by $|i,j\\rangle =|i\\rangle_T \\otimes |j\\rangle_C$, for the transmon number state $|i\\rangle_T$ and cavity number state $|j\\rangle_C$.\n",
    "\n",
    "For a complex drive $\\gamma(t)= I(t) + i Q(t)$ applied to the transmon with frequency $\\omega_D$, the Hamiltonian can be written in the interaction picture with respect to $\\omega_C a^\\dagger a + \\omega_D b^\\dagger b$:\n",
    "\n",
    "$$H_I = \\frac{K}{2} (a^\\dagger)^2 a^2 + \\delta_T b^\\dagger b + \\chi a^\\dagger a b^\\dagger b + \\left(\\gamma (t) b + H.c.\\right), $$\n",
    "\n",
    "where $\\delta_T = \\omega_T - \\omega_D$.\n",
    "\n",
    "Only the lowest two energy levels of the transmon system are treated in this notebook, such that there is no transmon anharmonicity term in $H_I$ to characterize higher-energy transmon states. Note that in this configuration, the transmon qubit will exhibit a spectrum of transition frequencies, set $\\chi$ apart, each corresponding to a different excitation state of the cavity.\n",
    "\n",
    "The objective of a SNAP gate is to impart a phase of $\\theta$ to a target Fock state $j$ of the cavity $|j\\rangle_C \\rightarrow e^{i\\theta} |j\\rangle_C $. The [standard implementation](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.115.137002) of SNAP gates consists of two control $\\pi$ pulses applied on the transmon qubit based on a target Fock state of the cavity. The pulses are performed around different axes, offset apart by an angle $\\theta$. By the end of the gate, the qubit makes a net $2\\pi$ rotation, disentangling from the targeted Fock state while imparting the desired phase $\\theta$ to it."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Obtaining a standard SNAP gate\n",
    "\n",
    "To set up the system to evaluate a SNAP gate, we first define the basic parameters and target operation. Note that the transmon drive detuning is determined by the target cavity Fock state, to resolve a particular transition frequency."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "K = 2 * np.pi * 4e3  # rad.Hz\n",
    "chi = 2 * np.pi * 1.189e6  # rad.Hz\n",
    "\n",
    "# SNAP gate parameters.\n",
    "target_fock_n = 1  # Fock state that the SNAP gate is targeting.\n",
    "theta = np.pi / 2  # SNAP gate angle.\n",
    "delta_T = -chi * target_fock_n  # transmon detuning.\n",
    "rabi_rate = 0.2 * chi"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next we generate the standard SNAP drive control."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "controls[\"Standard\"] = {\n",
    "    \"$\\\\gamma$\": {\n",
    "        \"durations\": np.pi / rabi_rate * np.ones(2),\n",
    "        \"values\": rabi_rate * np.exp([0, 1j * (np.pi - theta)]),\n",
    "    }\n",
    "}\n",
    "qv.plot_controls(controls[\"Standard\"], polar=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The plots display the drive pulses $\\gamma(t)$ applied on the transmon qubit. Note that since the standard SNAP gates demand high spectral selectivity, the qubit Rabi rates need to be smaller than the qubit-cavity coupling $|\\gamma| < \\chi$, making the gate relatively long as in [Heeres et al.](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.115.137002)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Simulating the system evolution under the standard controls\n",
    "\n",
    "We can now simulate the evolution of the system. For this purpose, the first four states of the cavity ($n_c=4$) will be evenly populated while the qubit will be initialized in the ground state $| 0\\rangle_T$, making the total initial state: $(|0, 0\\rangle + |0, 1\\rangle + |0, 2\\rangle + |0, 3\\rangle)/2$. \n",
    "\n",
    "We target the first Fock state $|1\\rangle_C$ with the SNAP gate, evolving the initial state into $(|0, 0\\rangle + e^{i\\theta}|0, 1\\rangle + |0, 2\\rangle + |0, 3\\rangle)/2$, for the gate angle $\\theta$, here chosen to be $\\theta=\\pi/2$.\n",
    "\n",
    "First, we set up the simulation parameters, relevant states, and create objects describing the system.\n",
    "You can learn more about the superconducting systems module in [this tutorial](https://docs.q-ctrl.com/boulder-opal/toolkit/apply/superconducting-systems/learn-to-simulate-with-the-superconducting-system-module)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Simulation dimensions for the transmon and cavity.\n",
    "transmon_dimension = 2\n",
    "cavity_dimension = 4\n",
    "\n",
    "# Gate parameters.\n",
    "drive_control_values = controls[\"Standard\"][\"$\\\\gamma$\"][\"values\"]\n",
    "gate_duration = np.sum(controls[\"Standard\"][\"$\\\\gamma$\"][\"durations\"])\n",
    "sample_points = 512  # Number of evolution samples.\n",
    "\n",
    "# Initial and target states.\n",
    "transmon_ground_state = np.zeros(transmon_dimension)\n",
    "transmon_ground_state[0] = 1\n",
    "cavity_initial_state = np.ones(cavity_dimension, dtype=complex)\n",
    "cavity_initial_state = cavity_initial_state / np.sqrt(cavity_dimension)\n",
    "initial_state = np.kron([transmon_ground_state], [cavity_initial_state])[0]\n",
    "\n",
    "cavity_target_state = cavity_initial_state\n",
    "cavity_target_state[target_fock_n] *= np.exp(1j * theta)\n",
    "target_state = np.kron([transmon_ground_state], [cavity_target_state])[0]\n",
    "\n",
    "# Transmon, cavity, and interaction objects.\n",
    "transmon = bo.superconducting.Transmon(\n",
    "    dimension=transmon_dimension, frequency=delta_T, drive=drive_control_values\n",
    ")\n",
    "\n",
    "cavity = bo.superconducting.Cavity(dimension=cavity_dimension, kerr_coefficient=K)\n",
    "\n",
    "interaction = bo.superconducting.TransmonCavityInteraction(dispersive_shift=chi)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, we perform the simulation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Your task (action_id=\"1827929\") has started.\n",
      "Your task (action_id=\"1827929\") has completed.\n"
     ]
    }
   ],
   "source": [
    "simulation_results[\"Standard\"] = bo.superconducting.simulate(\n",
    "    transmons=[transmon],\n",
    "    cavities=[cavity],\n",
    "    interactions=[interaction],\n",
    "    gate_duration=gate_duration,\n",
    "    initial_state=initial_state,\n",
    "    sample_count=sample_points,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To understand the evolution of the cavity states under the standard SNAP gate, it's instructive to plot both the probabilities and the phases of all the $|0,n\\rangle$ states. In the below cell, we extract these values and plot the dynamics."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_ground_states_dynamics(result, n_t, n_c, name):\n",
    "    states = result[\"output\"][\"state_evolution\"][\"value\"]\n",
    "    sample_times = result[\"output\"][\"sample_times\"][\"value\"]\n",
    "\n",
    "    # Reshape states into [time, transmon, cavity]\n",
    "    # and take the probability coefficients for the transmon ground state.\n",
    "    ground_states = np.reshape(states, [-1, n_t, n_c])[:, 0, :]\n",
    "\n",
    "    # Calculate populations.\n",
    "    populations = np.abs(ground_states) ** 2\n",
    "\n",
    "    # Calculate phases with respect to 0-th cavity state.\n",
    "    phases = np.angle(ground_states)\n",
    "    phases = phases - phases[:, :1]\n",
    "\n",
    "    # Plot populations and phases.\n",
    "    fig, axs = plt.subplots(1, 2, figsize=(15, 5))\n",
    "    fig.suptitle(\n",
    "        rf\"Evolution of $|0,n\\rangle$ states during the {name} SNAP gate\", y=1.1\n",
    "    )\n",
    "\n",
    "    axs[0].set_xlabel(\"Time (µs)\")\n",
    "    axs[0].set_ylabel(r\"Probability\")\n",
    "    axs[0].set_title(r\"Population dynamics\")\n",
    "    axs[0].plot(sample_times / 1e-6, populations)\n",
    "\n",
    "    axs[1].set_xlabel(\"Time (µs)\")\n",
    "    axs[1].set_ylabel(r\"Phase$/\\pi$\")\n",
    "    axs[1].set_title(r\"Phase dynamics\")\n",
    "    axs[1].plot(sample_times / 1e-6, phases / np.pi)\n",
    "    axs[1].plot([0, sample_times[-1] / 1e-6], [theta / np.pi, theta / np.pi], \"k--\")\n",
    "\n",
    "    labels = [rf\"$|0,{n}\\rangle$\" for n in range(4)]\n",
    "    fig.legend(labels=labels, loc=\"center\", bbox_to_anchor=(0.5, 1.0), ncol=4)\n",
    "\n",
    "    plt.show()\n",
    "\n",
    "\n",
    "plot_ground_states_dynamics(\n",
    "    simulation_results[\"Standard\"], transmon_dimension, cavity_dimension, \"standard\"\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we present the evolution of population (left) and relative phase (right) of the $|0,n\\rangle$ states under the SNAP gate targeting $|1\\rangle_C$ Fock state. The standard controls induce significant leakage into the neighboring states the which can only be contained by significantly extending the gate duration. Observe that the phase of $|0,1\\rangle$ changes from 0 to $\\pi/2$ in line with the offset between the two $\\pi$-pulse frames, however the phases of neighboring Fock states suffer from a nontrivial combination of leakage and Kerr effect, drifting away from the target phase difference of $\\pi/2$ indicated by the dashed black line."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Creating Boulder Opal fast SNAP gates optimized for leakage suppression\n",
    "\n",
    "We now use the optimization engine in Boulder Opal to obtain control pulses that perform a faster SNAP while minimizing leakage to other Fock states in the cavity. In this case, the unitary target operation will be $e^{i\\theta}|0,1\\rangle\\langle 0,1|$ projected onto the $|0\\rangle\\langle 0|_T \\otimes I_C $ subspace since the final population of the qubit's excited state will be zero by the end of the gate."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Generating a control pulse\n",
    "\n",
    "To optimize a control pulse, we first specify optimization parameters such as the number of pulse segments and the target operation, as described in the [Simulate and optimize dynamics with the superconducting systems module](https://docs.q-ctrl.com/boulder-opal/toolkit/apply/superconducting-systems/learn-to-simulate-with-the-superconducting-system-module) tutorial.\n",
    "We obtain smooth control pulses by applying a sinc filter with a specified cutoff frequency: here the maximum Rabi rate is also used as the cutoff frequency for the control."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Your task (action_id=\"1827947\") is queued.\n",
      "Your task (action_id=\"1827947\") has started.\n",
      "Your task (action_id=\"1827947\") has completed.\n",
      "Final infidelity achieved: 5.558e-11\n"
     ]
    }
   ],
   "source": [
    "# Optimization parameters.\n",
    "max_rabi_rate = 4.5 * chi\n",
    "cutoff_frequency = max_rabi_rate  # Sinc filter cutoff frequency.\n",
    "gate_duration = 1e-6  # s\n",
    "number_of_optimizer_vars = 64\n",
    "number_of_segments = 256  # Smooth control segments.\n",
    "optimization_count = 4  # Number of optimization runs.\n",
    "\n",
    "# Target operation in the appropriate subspace.\n",
    "SNAP_cavity_target_state = np.zeros(cavity_dimension)\n",
    "SNAP_cavity_target_state[target_fock_n] = 1.0\n",
    "cavity_target_operation = expm(\n",
    "    (1j * theta) * np.outer(SNAP_cavity_target_state, SNAP_cavity_target_state)\n",
    ")\n",
    "full_target_operation = np.kron(np.eye(transmon_dimension), cavity_target_operation)\n",
    "cavity_subspace_projector = np.diag(\n",
    "    np.kron(np.array([1.0, 0.0]), np.ones(cavity_dimension))\n",
    ")\n",
    "subspace_target = np.matmul(full_target_operation, cavity_subspace_projector)\n",
    "\n",
    "# Update transmon object to make drive optimizable.\n",
    "transmon.drive = bo.superconducting.ComplexOptimizableSignal(\n",
    "    number_of_optimizer_vars, max_rabi_rate\n",
    ")\n",
    "\n",
    "# Run optimization.\n",
    "result = bo.superconducting.optimize(\n",
    "    transmons=[transmon],\n",
    "    cavities=[cavity],\n",
    "    interactions=[interaction],\n",
    "    gate_duration=gate_duration,\n",
    "    initial_state=initial_state,\n",
    "    target_operation=subspace_target,\n",
    "    cutoff_frequency=cutoff_frequency,\n",
    "    sample_count=number_of_segments,\n",
    "    optimization_count=optimization_count,\n",
    ")\n",
    "print(f\"Final infidelity achieved: {result['output']['infidelity']['value']:.3e}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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w3P5RpBRtSEOKGGjnfnNWM35db0wiTYju46ItGreqv0sOlUHXJkeFEQDcVjgH0THReHrBsyg7fER0OKqg/NhgZnt2tsyXNrG/tJpWaBlicGR7hThjb+4A4P99SyZb/m5bxAMAv67XIz+uAktmiG/DYLcMMdCubZlQmi57y9DXRVo0GtermCl6ehlCQkLQJ6UPMgakIWNgOtIHpCN9QBr6pvTxVYwOiYqKwpy5f8En7/0Hzz76Aq7PvwYDBw/0exzEc1i4oH7sXe4OtrGT7sLZeAjxHB5r5EFxUpma3g8333UjGuq1KDtUhrLDZdi1bTe+XPM1dG06PL9iiS/jdEhISAhmXjUDaf3T8ObStzH57NOExEF6Bgt21I+j6m6iHM7GQ4h7LM2tEx0CsYPipHL+4nkAgJTUZBw/bHDX452dnaiqqPJ+ZG4ycfJ4JPfri9eef0t0KFITHRXu1ErW8aZzCqNRq23GezebL2MkxEbRCixDDAmxUdi5rrUrnrRRIZj5YDxqtcYB4/7cl9RgV+vY9of8uAoMPSsUw1bL0dbBZBlioF0fd9JGhQAQ37flsPX4UhGocppGAKipqkFiUiJCQ62HhTbUa3G07CiGDj9eUGTuEWzTNDrCX9NLEe8R7FOi+RLb6UwBTvVICMDjjjNUM01jc1MLdv7yK/7Y9ydsc9C21jasXfWF51G6SVLfpG4JJQDEJ8SpJqEUQUWt1qGdLfOHAWMC/PSFlQCMOy5t3yLf2940i6lZRoveh2S2O+vmFMYg9+XQblM9sn8Efv+indv2uCND35bJonF5+ftISTleXFyERm0TOjs70T8zAzffcQOS+hqz1LY2HdauWocLLjnP58ECwPOPL4Xx5kbOuWP+rb4PxoZv12/A5g1bcOTwEZx0ykm4ds5Vfo/BFfp2g1MrWccXthxb+ce3xn9c2nTttBOLem/LYhzbm5mL2HfUZHefk1MY122sJftHYPcvWlnbmIpzRPdp2Swal0nl6vfXIHNoJq6bczVaW9tQ/PYqPLvwBdw+/1YhM9ak9beeVee7rzdh7MSx6BUd5eAZ/iMhMQHnzTgXe3bshU4nfmyDmjAVKqy+TXQkxBGs7haHbf9gdTgJNjgVozpwmVQe+P0g7ph/KyKjIhEZFYmbbr8eH737CZ5/fCnuuP9WREX38kecXVx+3aVWf2/esAXTLz1PyC2NbBkzPhsAcPjPw9DVyPllGxoa4tRK1vGtzcMrwsJCaSf213vZq+7ud6y6W+y+oj57+hoDx4Z1u/XQcWcA89aI3x8DzTLEQJttednb9vhj+XtwW3yJjMtCnXtnz8fch+5AWkaq1ePF73yMnzb/ghtunYUXnigSdkuhe265H4WL7pEiqTTx6Qefobam3uHl741fbcLGbzYBAKZfcxmyhg30aTxqKNQxYRpoDLAwQRZM+w9gvAVUTmGMwGgIwEIeEjywMEc5qijUSUlLxqE/Dnd7PHfWTIydMBrLnn3DrWBeeeZ1RT+BzGlTJ2HewrmYt3AuYuNj/freDU0tDu1smb9sW5gAAFV1jbSN/fEepoIcE/krEzD5duMhQ4Z9RW325mvlFMbgmjci7BbyPHtxFQA59lO1WoYYaKMtE8r0bONZOdm+t2SyaFwmlaPHZWPr9z/bXXbZtZdg/Kknu/WGMbHRin6Ib9A26xza2TJ/2TR9nSXV9c20jf3xHrbTLQJi9w2125f9xTK53PeVccC+DPupWi1DDMHupbl1+PsA49+A8Z/acbONF1Zl+96SyaLRuFqhsaER0y46GwaDwe4tfK64IRdX3JCr+A1nzfasIvqXLdut/u40dGL39j2IS4izetw0vpEQ4h4syFEfLOQhgYa9f2qJ/LhMKvU6Pd566W10tHdgxOgRyD45C8OzhyEiIsIf8XXjjReWd3vsgxUfdXtMxBjPjo4OGDoMMBgM6Ow0QK/TIzQsFGFhYX6PJVDgl6P/4HSL6sd22lP2H6I2+E+tulE8o86B/Qex46dd2LF1J6ora3DCyKHIPjkLWWNHIs7P4wJl5bOPPsfaVdb3PLjgkmmYfun5Dp/jbMCrt7As1NHp2xERrrFrAA6X+dvrl7RZFSIUaVPQ2qZHVGQ43Wa8XZW3X/NvfWu7tnf/0WG4aH6sFPtCoNif/cu2/wDA8HM0uGNVkhT7r+z2Rf+ifXMckul7S7Rfn9XU9X3pS5zlLS7PVJrIHDIImUMG4aLLp6PyaCW2b92FzRu24P23PsTAwQORfVIWTp40FolJid6KW3VMv/R8pwkkUU5OYYxVJyG+w151pelgTdSJqf9YJpe7v2xHflxFV3JJiEzwOBQYuCzUMfHemx+gqdH4BZ/cLxlnTz8Tdz14Gx59/iGccsYE7N/3J7Zusl/Q400OHyhR9EPsU1nX5NDOlom0iYPltfQxe/O17I1dEt3mgWgR72mvkGf3l8Yvahn2Y1ktQwzB5p4eh2To2zJZNIrPVFZX1mDhPY/j/JnTcMa5p3eNE4yNi8WkKRMxacpEnwVpydMLnlW0nqj7ZhLfwLFh3odjl4IHFvIQWeFxKLBQnFQWzJuDHT/twsf/Xo3/+2oTLr16BkaOGeHL2Oyi0YQhLiEOEydPwEkTxyAiMtzvMRD/YVt4QLwHqyuDDxbyEFlgYWBgojipBIBRJ43EiOwT8c0X/8PyoneQOWQQLp01E6np/XwVXzcee+ER/PjdVmz6djO++eJbjJ0wBpPOnIjMIYP8FoOaiYuOcGol6/jTOYW90NDUgndvMh94+iRE0x5sC3tnBkw3zpWhzQPZomMw9acNLxi6JZcnTA3FsE/E79eyWIYYAtk715nvQZmeHYKLH4jv8XGoJ88JTJu/J0WhuPrbFm1DIz794DNs2fgjTj1rEiacPg5pGakIj/DfmcPDB0qw6dvN2Pr9z0hIiMcpUybizPMm272fpqz4u/pbrfhr+qlggNMuEhOc7pH4G0676DtUMU2jCV2bDrt++RVfrf0G773xPt54YTl2/LwL7e0d2PDfjfjHQ8/hntn3Y1Hhk14L3BUDMvvjiutz8cDi+xAbH4uP/70aLc1yTFUkK0eqGxza2TIZDBgToqdyjEnR7yVVQeuePMfetIsn3dIBQHzbBoNliMHWOYUxmPlSiN3pUWXYz0VZhhgCzabjj2VC2e/Y5e5A61ciLRrFl7//+fhSlJccRf/MDPRLS8HIMcMx9YIpSE5NRnJKX7S3t6P0UBlKDpb6Ml4r9v36G77/3w/Y9uMO9B+UgatvzkN0TLTrJwYxBkOnUytZR4Qtx4L9+T9jnB0dhqC20nWNZwYMsDd2SYa2DSbLEIM9OyvkEb2fy96/6J4df3IXmAtyArVfibBoFCeVujYd7n74DqQPSLe7PEwThsEnHIfBJxznteDsUVtTh83/+wGbN2yBXq/H+NPG4b5H5yIljZdFAxnbLz2iHNuCHMuDOSGWsJCHeAtHhTg8/gQ2ipPKBxbf58s4FPPw3MeQ2DsBEyePx4jRwxEWFoa2Nl23e1MOyOwvKEK5CdeEOrWSdcTafBYhMkIT1Ha1jr2CnIparcW2pP1tGWJw5pzCGFTUarHlldBuyeXgKSG491Px+70s/Yt2dLwxDbExJ5OpWcAlf/fd8ccXr6lOm78fRdHjQh1R3HHd3YrWU8t9Klmo4x6mgcgACwpcwYIc4im2hTwslCO22BbeWMLjjn9RVaGOLDz8zAOKfoh9arXNDu1smSy2V1BQfmyAcjDZ2TJ7BTmnFoS43La0by1DDO46pzAGV75mvqNHflwFnplhLL6QoR/4yjLEIKtNxxfTj2VCmTYqBPkrE3Dla+F+O+7I0E9ksmhUlVRWVVQjqW+Sop/Ozk7UVteKDlk6mlv1Du1smSw2TTtnSX1ja9DZ2TJ7NzWXoe2C3TLE0FNb/jP329cG5MdVYPm14vuBryxDDLJ4aW4dHslsRX5cBR7JbLV7VjJlpPGf1/FzjBc+2a/EWTRu3fxcNM8sfB4jRw/HqWeeguOGZtpdp7mpGVs3/Yxv12/A5HNOw5RzJ/s3SEIEwenOiK8wFcr98jpnuAp0nI2NNGFZcJORzOMMMaOqpPLBJwuxbvV6vLzkVYSEhGLAcf2RkBiP8PBwNDc1o7zsKMrLjmLQ4IHIvWYmhmefKDpk4mNYnWqG0y4SX8M5xAMPJpHEm6iuUAcAdDoddv2yG3/s+wM1VbXQ6/SIiYtB/0H9MXzUMKQPSBMdomL8XajT0WFAWFioXQNwuEw2f/50S7cCgvb2Dmg0YUFhAF2/v5Kn7TZDhQxtRKu3f7nb/wBgxLnhuP2j3lL0D2/2r0C17XHDkgFjwnDh/bFS7GvB1K889bKrtV3fh74koAp1ACAiIgJjJ4xG7qxLcMtdN+HWeXNwff4snD39TFUllCLQHztg2rOzZbI5pzAGN66wvtF9q649aGz5u+UXQ//RoW5vS9o/liEGb9nU/yzHWv663jimS4b+4alliMHbXppbh9t7VyM/rgK3967udtzIX5mAG1dEI39lAs6ZGwlAjn3NlWWIQSaLRpVJJek51Q3NDu1smcw2YbokEwwurazH0tw63NvPfBnKOO2iwaNtSfvOMsTgbdsWzuXHVWDpZeL7h6eWIQZv2XSccFZgo+bjhgwxyGTRqGpMJSGOCMaxXRxDSWSBM/HIh6sZbTg2kvgCJpVE1dh+mQUDH+dbf1ZWeRPRsDpcHjg9IhEJk0ov0tTYhH+9thJ7duxDTFwMZlwxHeNOPVl0WFYkxvZyaiXryOScwgg0teiw4oaWrvj7JcUFtC2/rDOyQ722LWnfW4YY/Nkf8+MqMOzsMAz7WHy/cdcyxNAT71yn7Yo/IzsUMx6IQ1OLMcGUYR/xhWWIQQ6bvwdFocrqb1l5c+nb6OzsxDU356HkYCleXvIa5i64A2n9Ux0+h9M0eodgmb7Rckq0QG5Pom44vaP/sZ0ukceH4IPTNAYQba1t2LZlOy7MPR+RUZEYMmwwRp00Ej9s/FF0aFYE6uB0e9M37j1YEXA2fTbTGEoZtj0dfMUfrmyvgOfJ6eL7j1LLEINSm6ZNtDfGWoZ9wdeWIQaZLBqeqfQShw+U4NlHX8Azrz/Z9dh/13yN3/fsx5y7b7Zad+NXm7Dxm00AgGlXXopeMda3xvE2z2UZfddOn76NFJg+q+1Ujmrn+yKgYpf572BoS6J+bMf/AsaE55R8MfEEErbHBADInAzMLBITDxGPv77rIyM0PFPpa9radIjqFWX1WFR0FFpb27qte9rUSZi3cC7mLZyLxN7xGDYoxac/RdoU3LUTGDbIeErckZ0tU4tNZCQnBJQtvzwyJ8Mn2472/b4pOgZ/+77PjMeerGkRXdugYpf4/uTKMsTg7jGhSJuCmUXi25z9Spwtv+t9+eMMFup4icjICLS2tFo91trShqioSEERWRPTK0KR3VlXThsvARXl1SM1KwSX/N34XxWgThvHpqGLIm0KSirquv6WY5vTwdO/euaC4kSUVNRh0RD19E8ZYnD3mCBDW4uwDDHIZlHw8reXaGttw31/fRDzF89DSmoyAGDFy/9CQu94XJx3ocPn+aNQJ5gItMHqwVKARIKDQOuf/sS2+AngMYGIgYU6fiAyKhKjx43CmuLP0dbahj/2/YkdP+3EhNPGiQ4NALr+k3VmJevI7oLiRDyw3/o/tar6JtV5zeImq4SySJuCi4+NlQqUtgo2yxCDaNv2z6K8eqx6tAGAHP3OZBlisLVlQjnkzJBux4RgtQwxyGhR8PK3F7nihly8++pKzC94CDFx0ci7Idfp7YT8iek+Za7szrqyGzB+aRlv/Au0HZsHVw22vLxlGkMZyG0VLJYhBhmcNS2i64xl+U7jxTIZ+p2lZYihTddu9/ZMpupvGdpSBssQg2wWBZNKLxITG4PZf7tJdBgEsPrSsq2QlBl746VMXyCEBAoFxYnYe7Ciq1rV8p8/YsR8LDAnlKZ/MAmRFV7+JgFJQXGi1W0VivLq8b0KbrVheUaCXyAk0LGtCldLP/UHtscCU3U3ITLDQh3BsFDHt6ilMIAzkJBgRi391B/wWEBkh4U6BHXaFpdWso7aXFCciCfKzHP5AuLHuljaVJBj+SUy7Owwl59Lhm1Lu2cZYpDVtv20KK8eqxcZ57AW0S9FHhPcPRYEu2WIQUaLgkllkHC0RuvSStZRswHjl9XnTx/rfI3ibe8S1wX/7HD5eURvS9p9yxCD7La8HF663QBATL8U8Z5rFjdhxQ3mhEDpsSDYLUMMMloULNQhQYFshTssyCGkO8FYwMOCHBJI8EwlCQpkK9xhQQ4hjrEt4AlkWJBDAgkW6gjGX4U6jc1tiI2OdGoALtdRu5df29KtIKC1TY+oyHC/+L/P6roNwu/J5wiGtgo0s83c9739zBMA9B8diovmx/mlnwJQzbEg2M1+Zd++hIU6BFHH5o51ZiXrqN0FxYl4obZP13YpyqvHl88YD0zhmjCfec3iJrx5XbPVl8iIc8N7/Dlk2JY028zXtjxjWbLN4Lf+6svXNtlbx4JgtwwxyGhRMKkMEvaXVru0knUCxZZfVod/MQ6GLz82wNkXtneJa9qz+h7HL8M2pNlmvrZp2Iq/+6svX3vN4iYsu9pcTOHpsSDYLUMMMloUTCpJUOKvMZZrFjdh9W0W78PxUoS4jWxjonuC6VjA8dQkkGFSSYIaX83owS8QQryPmmfgYUEOCQbEXnwnfiMhNkqR3Vk3EFxQHI/y6gYUzzZY3XKoKK8eaaNCkPEgEB1lHO+kxPZuDzL0rFDMXd0X5dUNXo1f9Laj2Wb+tqP+CrjXT5XYW69l7/Zh3j4WBLtliEE2i4LV34LhNI1yYTtdHAAMHKtBTmGM3fVtp1SzJGtaBAqKE70dIiHkGPlx5nu7OuunIrB3bOAxgQQCrP4mOHCkxqWVrBPoLihOxH37rKtOD/3cjqK8ers/9hLKwVNCUKRNQc6LBp/FKcO2otlmom2vn6561HgboopabY/tyXNNtjw2+OOYEKyWIQYZLQpe/g4S2nTtiuzOuoHsgmLjDDdfzo3odubSlszJwH2fGdcfNsg8M46v4xS9jWi2mWjb66flxwp69O0Gj9zT5xrPUJpfw3K2LBm2WSBahhhksyiYVBLiBNO0caZk0ZEJIeKQYXpHTrdICJPKoCEsLFSR3VmXFmsZYqDZZjI5a5qmW8Fdv5HApQuA0NAQAMqtdF17yeRxZwDz1qTg95Iq4dskGCxDDLJZFCzUEcyBIyzUIYQQb+JuwV1PYCEOCVac5S1iU1riN6rqGl1ayTq0HJYhBpptJqsLihPx6OFopwV3nyxqAAA0NLV0s73HTF6zuKlbkd4JU0NRpE1B3usa4Z892CxDDDJaFEwqvcS36zfgqQXP4G833ou3X/m36HC6UV3f7NJK1qHlsAwx0Gwz2W1vmkcTZds7UZRXj3dv0qEorx7rlxjPbGqbddA2m39fs7ipa513b9LZvYn59OcNwj9rsFqGGGS0KDRC3z2ASEhMwHkzzsWeHXuh0+lFh0MIIeQYtgV39u7qYBqDacb0e/dqWss7PhBCzDCp9BJjxmcDAA7/eRi6mnoXaxNCCBGFkiTTEke3DSOE2NBJvMp/3l/TueLlfyle/8+yah9GY6alVefSStah5bAMMdBss0C1DDHQbCtP7Euc5S08UymAjV9twsZvNgEApl9zGcDqb0IIIYSoHBbqKOCfi5bi9mvn2v159tEX3H6906ZOwryFczFv4VzExsf6IOLuHCyvdWkl69ByWIYYaLZZoFqGGGi2lScWBc9UKuDOBwpEh0AIIYQQIjVMKr1ER0cHDB0GGAwGdHYaoNfpERoWirCwMNGhEUIIIYT4HM6o4yU+++hzrF21zuqxCy6ZhumXnu/0eb8drkS4xveJZ2NDo98utRNlsE3kg20iJ2wX+WCbyIk/2kXf3oGhA5LtLmNSGSQ8teAZzFs4V3QYxAK2iXywTeSE7SIfbBM5Ed0uLNQhhBBCCCEew6SSEEIIIYR4DJPKIOG0MyeJDoHYwDaRD7aJnLBd5INtIiei24VjKgkhhBBCiMfwTCUhhBBCCPEYJpWEEEIIIcRjmFQSQgghhBCPYVJJCCGEEEI8hkklIYQQQgjxGCaVhBBCCCHEY5hUEkIIIYQQj2FSSQghhBBCPIZJJSGEEEII8RgmlYQQQgghxGOYVBJCCCGEEI9hUkkIIYQQQjyGSSUhhBBCCPEYJpWEEEIIIcRjmFQSQgghhBCPYVJJCCGEEEI8hkklIYQQQgjxGCaVhBBCCCHEY5hUEkIIIYQQj9GIDiDY+e1wJcI1Yb5/o85OICTEuQHX69BymG2lPrPN1GO2lXrMtrJvH6Jv78DQAcl2l/FMpWDCNWHITEvy+U+bvsOllaxDy2EZYqDZZoFqGWKg2Vae2Jc/zk6EMakkhBBCCCEew6SSEEIIIYR4DMdUBgkJsVGK7M66tFjLEAPNNgtUyxADzbbyZJuIIKSz0zTSlYjgwJEaZKYliQ6DEEIIIXZYmluHnet0itbNmhaBguJE3wYkGGd5Cy9/BwkHjtS4tJJ1aDksQww02yxQLUMMtPi2Wppbh/y4CsUJJQDsXKdDflwFnr6wUui2EQUvfwcJbbp2RXZnXVqsZYiBVnebGc/AtAOoOBada2dOBu77TI74fWkZYqDFtJW5X5hJGQnkLkhAaWU9MpLt+5fXNTj0s/F5f3zbKXybiIBJJSGEBAnGL0vAnCQqPwNj4sAGID+ue5JJSKBgeWbSMpl0RU5hDEor67H6NuPf+XHB1z+YVAYJYWGhiuzOurRYyxADrY42MyeT3ZPIfiOBSxck4Eh1A9L6xDv1T6+GdZ2JMWFKMo87A5i3Rvw2Vntb0eLaytxPjOSvNPYLAAgNDVHsgWPN/URU/xAFC3UEc+AIC3UIIb7BXoHBwLEa5BTGeOX11yxu6pZkBkOhAglMzGfgvdNPbPtHkTbFo9eTBWd5i9iUlviNqrpGl1ayDi2HZYiBlrfN7BUYpGeHIH9lAibfbjzsNzS1eOycwhhc80YEBo41X/QyFSo8e3GV8G3eU8sQA+2/tjL1FxPe6iem/tH1un7sF6JgUhkkVNc3u7SSdWg5LEMMtHxttjS3Dn8f0NxtTFj+ygSMm228KKVt1nndOYUxmPEirJLLfV8ZkB9XgdevFr/t3bUMMdD+ayvb/gJ4t3/Y9gt/bBtRaFyvQgghRGbsjZl0p8DAW5gKFSyrYE1jyoKtYIHIj70xlL7oL7YFPIEMk0ov8u36Ddi8YQuOHD6Ck045CdfOuUp0SISQAEaWZNIWR8klITJh7wylPwjkf7JYqONFftmyHSEhIdizYy90Or2ipNJfhTqtbXpERYY7NQCX69BymG2lPnuzzV6/uqlbAU7/0WG4aH4sdPp2RIRrpPLrs5q64hx+jgZ3rEqSok3Yv9RvT9rqb31rARjPUPqjH6xf0tatcMdX28aXOMtbeKbSi4wZnw0AOPznYehqxJ0lIIQEJvaquS2TSVkZONZ8xnL3l+3Ij6voSi4J8TfuTLvoTXIKY6z+yQrEfsBCHQFs/GoTnlrwDJ5a8AwaG/xTqXWwvNallaxDy2EZYqD932b2CnBOuqUDAFBZ1ySt7RXy7P6y3evb2FuWIQbad21l77K3P/uDP/qBKHimUgCnTZ2E06ZOAiB+nk5CiPz4q6DA13DGESITovpRIBfuMKkkhBBJcVSIo3YsL4ezgIf4C9t/zmQhkP65YlIZJPRJiFZkd9alxVqGGGjftJm9ZDI9OwQXPxDfdXPluOgI1TqnsBcamlrw7k3Gz5cfV4ETpoZi2Cfi24j9S31Wuu7OdeZ7OKZnG6dVFNkPBo41dPvnypvbRASs/vYiHR0dMHQYsHbVF6irrcdVN12B0LBQhIWFOXwOp2kkhNji7eniZCVQp7EjcmLqV/krEwRHYk1RnvkSvBqmOeU0jX7ii0/WY+5f7sP6T7/Clo1bMfcv9+GLT9aLDgsA8HtJlUsrWYeWwzLEQHu/zexNF2cqxDlS3RBwzimMwcyXQsyfN64CT+VU9Hgbe8sy7C+0b9rKhAz7v8m205x6Y9uIgpe/vcj0S8/H9EvPFx2GXTo6DIrszrq0WMsQA+2dNjNe7jbA3thJg6Ez4G05xvLP/zneTv60DDHQ3mkrc/8yI8N+b7K9wh1vbBMR8EwlIYQIYmluHZ7L6j6zR/7KBJySLzAwP2O65ZCJ/LgKfBxEn5/4FlEz5/QUNe//PFMZJERGaBTZnXVpsZYhBrpnbWavECc1C7jk7wmoqNUCAMI1oUHngWNDuxUuiG4rWn67Xse4T+WvlLt/eXP/FwULdQTDQh1Cggd7M3kEciFOT1Fb4QKRE9v+JluBjiNM+7+shWss1CEoPzYo2JmVrEPLYRlioN1vM8svuLRRIchfmYBTC4yFKrXaZvqY7RUusH/R7raVbX8D5Ni/lRgwXgZ/ZkZVj7aNKEKFvjvxG/WNrS6tZB1aDssQA63cy69txSOZxt8B4xmT8XOMF4maW/W0je2NsVx+LfsX7X5bAerrb5b/VP32taFH20YUTCoJIcSHLM2ts5o1Rg2FArJg+eXKmXdIsGD7T5WaEDuikxBCAhTbYpyUkUDuAnXO2S0KzhVOeoKs0zH2FDXt9yzUEYy/CnXa2zug0YQ5NQCX69BymG0lr1/J03YrxhkwJgwXzItGWFgoOjoMtJv+/OmWbjPvsH/Rjtrq9t7VVn3vwvtjpdiP/bnf+xIW6hC06tpdWsk6tByWIQba2ktz63B772qrhLL/6FDkr0zAOXMjoT/2BUi775zCGNy4wjyncX5cBZZebjzjy/4V3Ha0DEBX3wPk2I/dte1+7862EQWTyiDBdMnNmZWsQ8thGWIIdi/NrcO9/eqRH1eBe/vV272B+Um3GAfZVzc0o7qhuet3ume2HGO550vjlyf7V3Db0TITMuy33jBw7J+py5RtG1FwTCUhhLiBvRuXm+C4Sd/CMZbEGYE2ltKE5TSmshesMakkhBAF2EsmLZPIjGQmk/5CTV+yxH+obTpGpdibG1xWmFQGCf2S4hTZnXVpsZYhhmCwvWQyIzsUMx6IQ1OL8bHE2F6K7M66tGPnFEagqUWHFTe0ADCesRx2dhiGfcz+FYw2/26cgjF/ZYLbfVMdVr6/i4LV34LhNI2EyIW9qRRNcEpFuVizuKlbdSwJXvLjKoxWyXSM7iLL/s7qb4K9BytcWsk6tByWIYZA89LcOuTHVdhNKE2FN2P+0vPiEBmKGgLN9mbeeXI6+1cw2fYxEzLsn962vZuiO9o2ouDlb0JIUMOxkuqHYyyDm0At0HGFjIVqTCoJIUGJq2SSqAc1FTIQ7xOoBTqOkPmfKCaVQUJMrwhFdmddWqxliEFNNieRpstD5i+i1KwQXPL3eFTVNwEAIiM0PrEvX5vWADB+0ebHVWDImSEY9h/2r2CwqS/nr0zweR+WwTmFMaiqb8IHs83jK+3tvyJgoY5gWKhDiG9h4U3wIEshA/EvgV6g44iiPPMVlaxpESgoTvTL+7JQh6Ckos6llaxDy2EZYpDd9gpvUrNCkL8yAZcv0yB/ZQIm5hsfN53d8KX98R7B7pzCGFy+zHxWOD+uAv+4qBIA+1cg+h8XVXYllCZk2A/9ZcsZpkzHOdO2EQUvfwcJpnt2ubI769JiLUMMMtty4L7tWMm2Y/Pj+tsi3zuYbDnmbP83xotx7F+BZ1PbAuaxlDLsf/5yTmFCt7HElvuvCHimkhASUCzNrcNzWea/81cm4JR8cfEQ/2PvVkMfcx8IWNjHjciwnzOpJIQEBKZkMtgqQYljLC8PylYlS4i3kGk/V2WhjsFgwG+79+P3PftRU1UDvU6P2LhYDMjMwImjhqF3n96iQ1QMC3UI8Qx7hTgswCGWiCpoIL4lWAt0HGHaz31doBYwhTo6nQ5ffLIeC+5aiFeWvIo9O/eirbUNYZowVFdWY+3H6/Dw3EUoenoZ/vz9gOhwpaJO2+LSStah5bAMMYi2vUKcjOxQ5K9MwJl3hgMQP+bL0jLEEKy2V9DA/qVuL82tgyUy7GcyWDSKk8q1q76AXt/uekUf8ug9T6DkYBmuvOkKPL3sCdz90J24+c4bcX3+LOTfOxsLn1uAh5bMx5Bhg/Hmi29j49ebhMYrE0drtC6tZB1aDssQg2jbXubOX5mAk2cbAAB1jS3SWYYYgtX2xli+ksf+pWab+r9piIsM+5kMFo3i6u+1q9YhqW8SBp+QieR+yVbLdm/fg+HZJ3o9OFvy752N9AFpTtdJ6puEaTPOwdTpZ6KmqtbnMVnS1NiEf722Ent27ENMXAxmXDEd40492a8xEBLo2E7Jlr+SM+AQZcg8EwnpGSzQkQu3bin0/vJi6HV6RERGIK1/KjIGpiOpT298/fm3eOKlR30VYxeuEkpLNBoNUlKTXa/oRd5f/hHCNBo8vvQRlBwsxctLXkPGwAyk9U/1axyEBCKOplUkRCmczpEQ3+JWUvnQkgfQ1tqK0kNlKDlYhtKDpdi/5w8MHTHUV/E55OG5j2Ho8OORd+Nl0GjMH6NR24h/PPQcHn7mQb/G09bahm1btmP+E/ciMioSQ4YNxqiTRuKHjT/i4rwL/RqLLabBzEVaICPZOKDZkZ0to+WyDDH40zvXmc9G9h8diovmx6G1TQ8A6BMfrQrLEAMdDaAZgPHYeOI5Ggxbxf6lPhuPB3LsT7LYuF+LxK2kMgRAcr9kJPdLxpjxo30UkjJqqmqx79ff8fzjL2H2325CbFwsAMBg6PT7ZW8AqCivRGhYKFLSzFVXGQPS8fue/d3W3fjVJmz8xjjec9qVl2Kvzj9jVdcur/DL+xDiTb4vAip2mf++aycAGADUI/LYY2qxDDHQQOZk8+XvPV+289ioImyPBwknGRMpGfYrGQwAew/6dn82zUNuD7eqv0sOlUHXJkeFEQDcVjgH0THReHrBsyg7fERoLG1tOkT1irJ6LCo6Cq2tbd3WPW3qJMxbOBfzFs5FYu94DBuU4tMfEzzzFTiWIQZ/2fILJHMyuvZptVmGGGij7/ss5dg/J0ZW32ZMVoKxf6nNtscDQPz+JIuLtMb92pf5hOXxzB5unaksenoZQkJC0CelDzIGpCFjYDrSB6QjfUAa+qb0ceelvEJUVBTmzP0LPnnvP3j20Rdwff41GDh4oN/jAIDIyAi0trRaPdba0oaoqEgHzyCEOGPN4iYc+tn8d5E2xef/gZPgImtaRFcVsWWyQuSHxwM5UZxUpqb3w8133YiGei3KDpWh7HAZdm3bjS/XfA1dmw7Pr1jiyzgdEhISgplXzUBa/zS8ufRtTD77NCFxpKQmw9BhQEV5ZVeBUOmhMqSySEeVmBMa0zi+7jbOJ+330AIe87Y3DwsxnZEgxJsUFCdi78GKrmk9i/KM/ZoVxYT0DMVJ5fzF8wAYk6fjhw3ueryzsxNVFVXej8xNJk4ej+R+ffHa828Jef/IqEiMHjcKa4o/x9V/uQKlh8qw46edmLvgDiHxOCI6KtyplawTyLaX0DiiYpflTB31SBsVgowH/Rev6G3lKx/6Wd/1+YaeFYq5q/uivLoBAJAQG6VqyxAD3d1Z0wxWZyxl6Ae0I5uPD+xXzo81IlDlNI0AUFNVg8SkRISGWg8LbajX4mjZUQwdfrzfY2pqbMK7r67E3p37EBMXjRlX5Li8T6U/pmnkVFauMSaT1omks+nc7E0NaIJTBPYM2zbw9VRjhNhiOlayD8sHjw/y4PE0jc1NLdj5y6/4Y9+fsM1B21rbsHbVFz0KrKW5BYf+OIzSQ2XdxiO6IqlvUreEEgDiE+KEJJQAEBMbg9l/uwlLXl+Mhc8tkPLG5xW1Wod2tixQvWZxE4ry6q0OVoOnhKBIm4KcF42zsxw4UtPNBcWJuG+fBkXaFNy3T4OsaRFdzz/0czuK8uqx6tF6n8Utw7bztm3bwLStA8UyxEA7t6kfm/ZFGfoF7fz4IMN+I6NF4fLy95GScry4uAiN2iZ0dnaif2YGbr7jBiT1NWapbW06rF21Dhdccp7iN62pqsUHy4vx6/Y9XUlqWFgossdl47JZMxGXEAcA0OvbER5uHeLzjy+F8eZGzrlj/q2K4wkm9O0Gp1ayTiDY+F+vAcZb0xjJnGysCjUN/m47dqsnJS4oNj7vy7nmgf/lO327PUVvQ2/Z3BZGLAfgu9MGarAMMdDO+3HXfX3zzOOmZegntBF7xwfL32nXQ7d8icukcvX7a5A5NBPXzbkara1tKH57FZ5d+AJun39rj2asqaupw5JH/onQkBBMzz0fqen9AADlpeXY8N+NWPLIP3HfY3dj/94/cKS0HOdeeLbV89P6W8+q893XmzB24lj0ihY7joCoA0dFIJbJpCc4GvjPgh7HWJ6BYEEOEY3lPSxZEU6Ie7hMKg/8fhB3zL8VkVGRiIyKxE23X4+P3v0Ezz++FHfcfyuionu59YZrV61Dn+Qk3Fb4V0REmC8Zjh43CmedPwVLn3oFy555HQf/OIRr/3pNt+dfft2lVn9v3rAF0y89T8gtjdRIaGiIUytZR822TGCOOwOYtyYFv5dUATCeLfeWs6ZprAb+F+XVo99I4NIF3vs8orelp7Z3yyBftIVMliEG2rlzlxm9ZLj57JgM/SVYbXucANivlFgULgt17p09H3MfugNpGda3xil+52P8tPkX3HDrLLzwRJHiWwr9/Y5HcF3+NQ7HPf62+3e88EQRLrv2Epxx7ukuX++eW+5H4aJ7VJtUslDHP4ga5G1b0BPMbWCLuXLeeVEUISIwHTcBFu6IhMcJ+fCoUCclLRmH/jjc7fHcWTMxdsJoLHv2DbeCadQ2om+/vg6X9+3XFyGhIYoSSuI+DU0tDu1smdptmVCeMNW421fVNfrcBcWJePSwed7norx6fLKowePPI8M27alNxVFd20SbgrzXNT3exmqxDDHQytvKtvgOkKP/BKMBx8cJGfYXGS0Kl0nl6HHZ2Pr9z3aXXXbtJRjvZoVzbHwcqo5WOVxeWV6J+IR4t16TKEfbrHNoZ8vU6jWLm/DuTeYzhUXaFEx/3nhZq7q+2W+2/IIq296Jorx6rF/S888lw7btqe2NofRnW4iyDDHQytuqoDjRaipHT/ss3XObYL9SblFoXK3Q2NCIaRedDYPBYPcWPlfckIsrbshV/IYjsk/Epx+uxW2F+d0qu/U6PdYUf46Ro090+Pxftmy3+rvT0Ind2/d0VYybGDM+W3FMJHCRpQjEVMBjWR0ebEUAnHaRqBFO5UiIclwmlXqdHm+99DY62jswYvQIZJ+cheHZw6yKbNxh+qXn4akFz2LhPY/jjHNPQ780y+rv72AwGHDTbdc5fP4bLyzv9tgHKz7q9pioaSOJHMiawARzdbgsCT4h7hDMfVYk9gp0iPwonlHnwP6D2PHTLuzYuhPVlTU4YeRQZJ+chayxIxEXH+vWm1ZX1uD9tz7E7h17rR4fnn0irrg+F32SfVu4IhP+LtTR6dsREa6xawAOl6nNr89q6vr8w8/R4I5VSWht0yMqMlwKv351U7cCHnc+n5raav2Stm5FUjK0gb8NQHgMdM/bytM+S/vmGM5+Zd++xFne4vJMpYnMIYOQOWQQLrp8OiqPVmL71l3YvGEL3n/rQwwcPBDZJ2Xh5EljkZiU6PK1+iQnIf/e2WhuakZFeSUA45zi0THRLp5JiHPsVXmbDjwyUVCciNY2Pf7WtxaA8exH/9FhuGi+e/+gqQHL9hh+juJDDiFSEUx9ViZkPYYT+yi+odF7b36Apkbjfw7J/ZJx9vQzcdeDt+HR5x/CKWdMwP59f2LrJvfOVUfHRHclq0oTysMHShT9EPtU1jU5tLNlarG9S6wHy2ultWUBT8m2DsWfU4Zt7cprFjdZnW0o0qbgvOfa/bZtZbMMMdCet1VP+yztvk2wX7lvUSg+bVBdWYOF9zyO82dOwxnnno6wsDAAQGxcLCZNmYhJUyb6LEhLnl7wrKL1OKYyuJB1DKUrAnm8FsdQkkDEts8SQswoTioL5s3Bjp924eN/r8b/fbUJl149AyPHjPBlbHbRaMIQlxCHiZMn4KSJYxDh47EDRB2oPYGxrTBVc3Kp1gSfkJ6g5r4qIyzQUTduDXAaddJIjMg+Ed988T8sL3oHmUMG4dJZM7vm7/YHj73wCH78bis2fbsZ33zxLcZOGINJZ05E5pBBfotBzcRFRzi1knXktDEhK9KmdN38tU9CtGpcUByLqrpGrPxLe7fbl6ilrezNq2660bwM21gGyxAD7Z22ypqmvK/Syn3oZ3MxlNLjh5J1gs2iUFz9bYu2oRGffvAZtmz8EaeeNQkTTh+HtIxUhEf478zh4QMl2PTtZmz9/mckJMTjlCkTceZ5k+3eT1NWOE2jZ4iaftHXqHGKOE6nRoIRNfZVmTEdRwLlWB6IeDRNowldmw67fvkVX639Bu+98T7eeGE5dvy8C+3tHdjw3434x0PP4Z7Z92NR4ZNeC9wVAzL744rrc/HA4vsQGx+Lj/+9Gi3NLa6fGMQcqW5waGfLZLVlQnncGUb/XlKletubIk7WtrI37eJ5/2wXvg1lswwx0N5vK1d9lXbfJtivem5RKL78/c/Hl6K85Cj6Z2agX1oKRo4ZjqkXTEFyajKSU/qivb0dpYfKUHKw1JfxWrHv19/w/f9+wLYfd6D/oAxcfXMeb0vkAoOh06mVrCODjWcozTFbjtvr6DCo3s4KeGRrK3vjWWXYhjJahhho77aVkr5Ku2cT7Fee7b8iUJxU6tp0uPvhO5A+IN3u8jBNGAafcBwGn3Cc14KzR21NHTb/7wds3rAFer0e408bh/senYuUNJ4qDybUXpijFEcFPKfkCw4MLMghxBJO5+gZLNAJDBQnlQ8svs+XcSjm4bmPIbF3AiZOHo8Ro4cjLCwMbW26bvemHJDZX1CEchOuCXVqJevIYeN/Y0XaFBw4UgMAiIzQBJwLihNx4EgN1twWavWFJUMbWCb2g6eECN9WarAMMdC+aStTX33yBGO/KMqrR2oWcMnf5eivstuT44k76waLRdHjQh1R3HHd3YrWU8t9Klmo4x6BWpijFFNbiiwICPY2IMQZS3Pruk3nSFzDAh314JVCHVl4+JkHFP0Q+9Rqmx3a2TJZbJnMDD3LuPuWHxvcHQw2FQUc+rkdRXn1+PixBq9tW1c2FeQEexv01DLEQPu+rQqKE/HQgShYIsOxUw02wX7luUURKvTd3aSqohpJfZMU/XR2dqK2Wux0RTLS3Kp3aGfLRHvN4ia8d7N5/tcibQpyXjBeAq9vbA0aFxQnWo0hPbKjs8fbVKlN2952HGuwtkFPLUMMtH/bCjCegfvqWfHHUFlte2y3tx3Zr3q274lAVUnlMwufx7uvvoc/fzvgcJ3mpmZs+HIjFhU+ie0/7fRfcMSnBEthjhJmFgF3WezaRXn1+L7Id+9nL5mc6cP3IyQQsLzVEAt3HMNje2AhdkSnmzz4ZCHWrV6Pl5e8ipCQUAw4rj8SEuMRHh6O5qZmlJcdRXnZUQwaPBC518zE8OwTRYdMvAwrjM34empHVncT0nOc3WqIdIfHl8BAdYU6AKDT6bDrl934Y98fqKmqhV6nR0xcDPoP6o/ho4YhfUCa6BAV4+9CnY4OA8LCQu0agMNlovz50y3dikLa2zug0YQFtQF0/f5KntaqMAAABowJw4X3x3q0rS0ZcW44bv+otxSfXa22bDNabnuzrWz7p6vjcLB52dVaj47t7Ff27UsCqlAHACIiIjB2wmjkzroEt9x1E26dNwfX58/C2dPPVFVCKQL9sU5oz86WibJlknPiOcYT66269qC35e8FxYl4+miC1eW2w790oCivHsuu1qIorx6fPdnUbduuWdzUtXzZ1Vq7CeWJ52hQpE3Bje9EC//MarcMMdD+bytT/7REhmOrTDYhuq0CyaJQZVIpI9+u34CnFjyDv914L95+5d+iw3FIdUOzQztb5m+vWdyEN68zVwQWaVNw/nPGzlJaWR/0tvdYQXEi7tppPZbLRMk2A4ry6vHmdc1dtpdEmsZM3rWT29zbliEGWmxbAcbL4GueFH+MFW3bY7w725H9Stm+JgImlV4iITEB5804F6ecMVF0KA7xdUGHN+Hg7Z5jSi5NyaG9JNOEbRLJAhxCfAMLd6zhMT4wUVWhjsyMGZ8NADj852HoasT+p2CLmqcP4+BtzzEVDAwblGLXhBDfw8Id+/AYH1gwqQwCCooTUadtwf3p2q7HEmN72bWzZf6wvflf+yXF0XYsQww02yxQ7avXzprW1u2ffJHHXHFugQlZ20rNFoUqq79l5tMPPkNtTT2unXOVw3U2frUJG7/ZBACYfs1lyBo20C+xmarAAbHT/DnDNFUXYDzDWlCcKC4YQgjxEWo4HvsCTvOqfgKu+tvf/HPRUtx+7Vy7P88++oLbr3fa1EmYt3Au5i2ci9j4WB9E3J29ByusxvSYOrUsA55NUwCaKNKm4JxndF2x09aWIQaabRao9sd7uDoeB6rtjaWUva3UaFHw8rcC7nygQHQIXkHmMT0ctE0ICSZsj8fBBsdSBiY8U+klOjo6oNfpYTAY0NlpgF6nR0dHh+iw7CJTFeKaxU1YfZv5b1YgE0KCETXdnYMQR/BMpZf44pP1WLtqXdffWzZuxQWXTMP0S88XGJWZmF4RXS4oTkRJRR0WDdEBMB7MUrNCMPkO4134IyM0frPlGcohZ4Z0i5V2bBlioNlmgWp/vVfWNHQr3PHnMdhftleEqba2UpNFwUIdwfhjmkZHLM2t6zZ9mL/gYG1CCDET6IU7LMIMHFioQ1BSUdfNBcWJeGC/+b+aVY82AACq6pt8bntnKO3FSNu3DDHQbLNAtYj3tFe4449jsT8NGE8gXHzsMr9a20oNFgUvfwcJTS06hzbdHL18p/GkdduxuUN9YXtnKE2DtZ3FSHe3DDHQbLNAtb/fs6A4pVvhji+PxSJsQu1tpQaLgmcqidVlCF8PFmeVNyGEuCZQCndsizFJYMOkkgCwTvAqdnn/gMYqb0IIcY1Md+fwBjyREFywUEcwIgt17OHt4h3by90AB2kTQogrAqVwx1Sgw2LMwIGFOgR12haXrtO2oKA4EU+UmecOLcqrx+pFxjnD3RnTYZohxzKhHHZ2GIq0KbjmrUjFMdGO20p0DDTbLFAtQwz2CndEj9PryXeAJYHaVjJaFEwqg4SjNVqXtvzd8oBWut2Aorx6rLihBUV59fj86WM7b2N3r1nchBU3tHS75FGkTcEF/+xQHAutvK1odViGGGj1tFVBcSLu2okuXB17ZbO9y96B2lYyWhSs/iZ2MU0h9uXcCKvL4YB5zKURW1sfSO77jFNxEUJITzHdnQNQ5xhLTscYXPBMJXGK6b/lIm0K7tppPYjcEaYzkyzEIYQQz7B3xlLmqnBWewc3LNQRjL8KdRqb2xAbHenUAFyuQ8thtpX6zDZTj2Vsq+XXtnQromxt0yMqMlwqv3ldc1eMJ56jwZ2rkoKurWSwL3GWt/Dyd5AQdWwOVld2Z11arGWIgWabBapliMHSBcWJaG/vwO29q7viC9eESWnAeLWqvb3DL9vHH++hNouCl7+DhP2l1S6tZB1aDssQA802C1TLEIMzA8bL4B8fuzNHeY14r1nchGVXWxeJsK3E7iMiYFJJCCGEqARZb47Om5wTgEklIYQQohpkL9xhkWZwI/biO/EbCbFRiuzOurRYyxADzTYLVMsQgzNnTTNY3WqoKK8eaaNCkPEgEB0VDsA/Ns6aBivYVuItClZ/C0a2aRoJIYSoB29PresulrPmcAre4IDTNBIcOFLj0krWoeWwDDHQbLNAtQwxKHVBcSLu22e+6FiUV49VjxoTvYparc9sOw1jkTYFOS8a/P75ZWgDGS0KJpVBQpuu3aWVrEPLYRlioNlmgWoZYnDXlgU85cfGXOrbDT6zvcIctpU8FgWTSkIIIUTl+KuAx3bGHBbmEEuYVAYJYWGhLq1kHVoOyxADzTYLVMsQQ09te8uhorx6bD6W9IWGhnhsyzOUx50B4Z9Xhm0uo0XBQh3BHDjCQh1CCCHexdsFPMYqb3NCWaRN8ej1iHpxlreITWmJ36iqa3RpJevQcliGGGi2WaBahhg8dUFxIh49HA0TRXn1+GRRAwCgoalFsU0FOZYJ5QlTQ4V/PpNliEFGi4JJZZBQXd/s0krWoeWwDDHQbLNAtQwxeMuWl8PLtneiKK8e796kQ1FePdYvMZ7J1DZ395rFTXj3Jl23gpwibQqmP28Q/rlMliEGGS0KjdB3J4QQQojPKChOxN6DFfhyboTV5XDAPObSiK2tk8n7PkvB3oMVPo+XqBsmlYQQQkiAY0ouhw1KcZhk2sJkkrhNJxHKn2XVfnmflladSytZh5bDMsRAs80C1TLEQLOtPLEvcZa3cEwlIYQQQgjxGCaVQcLB8lqXVrIOLYdliIFmmwWqZYiBZlt5YlEwqSSEEEIIIR7DpJIQQgghhHgMZ9QRzG+HKxGuCfP5+zQ2NCI2Ptbn70OUwzaRD7aJnLBd5INtIif+aBd9eweGDki2u4y3FBKMo4bxNk8VvYV5C+f65b2IMtgm8sE2kRO2i3ywTeREdLvw8jchhBBCCPEYJpWEEEIIIcRjmFQGCaedOUl0CMQGtol8sE3khO0iH2wTORHdLizUIYQQQgghHsMzlYQQQgghxGOYVBJCCCGEEI/hLYUCnKbGJvzrtZXYs2MfYuJiMOOK6Rh36smiwwpo9Pp2vP/Wh9i76zc0NzWjb0ofXHRFDkaOHg4A2LtrH95f/hFqq2uROWQgZs2+Ckl9k6ye+8sP2xAeGYFzcs7C1AvOFPhpAo+K8ko8Mf9pjBmfjevzZwEAfvxuK1a//xmatE0YlnUCrrklDzGxMQDYh/zB1k0/Y+3HX6C2qg7xiXG4ZvZVOH7YYPYVQVRX1uD9tz7En78fhCZcgzHjs5E7aybCwsJQcrAU/3ptJcrLjiI1vR+uvjkP/QdlAAA6OzuxeuWn+O7bzQCAU6dMxIy8CxESEiLy46iSb9dvwOYNW3Dk8BGcdMpJuHbOVV3LPOkXzp7rDXimMsB5f/lHCNNo8PjSR3B9/jVY+VYxjpSUiw4roDF0dKB3n0Tc+UABnnplES687AK8+eIKVFfWoFHbiNf++RYuzD0fTxY9hoHHDcCbL67oeu7ajz5HRXklHnnu77jj/lvx5Zqv8ev23QI/TeDxwfJiDDxuQNffR0rK8d6bH+K6v16Nx5c+gojIcLz/VnHXcvYh37Jnx158svJTXHPLlXj61cdx5wMF6JucxL4ikPff+hCx8XFY9MLDKHzsbvy+Zz82fLkR7e3tWPbsGxh36sl48uVFmHD6OCx79g20t7cDADZ+vQnbt+5E4aJ7cP+ie7Dz51+x8atNgj+NOklITMB5M87FKWdMtHrck37h6rnegEllANPW2oZtW7bjwtzzERkViSHDBmPUSSPxw8YfRYcW0ERGRWL6peejT3ISQkNDkTV2JPokJ+HwgcPYtmUH0jJSMXbiGIRHhOOCS85D6aEylJcdBQBs/r8fcf7MaYiOiUZqRj+ceuYp2Py/LYI/UeCwddPP6BXdC8NGDu16bMt3W5E1dgSOP3EIIqMikZN7Abb9uAOtLa3sQ37gs4++wAUzz8Vxx2ciNDQUiUmJSExKZF8RSHVVDU6aOBrhEeGIT4zHiOwTUV5ajt9274fB0IGzzj8D4eEanHneGQA6se/X3wAAP2z4EVMvOBO9j7Xh1AumYPOGH8R+GJUyZnw2Ro8bhZjYaKvHPekXrp7rDZhUBjAV5ZUIDQtFSlpK12MZA9JRzrMsfqWhXouK8kqkZqTiSGk5Mgamdy2LjIpE35S+KC8tR3NTMxrqGqyWZwxMx5FStpc3aGlpxZqPPscl11xs9Xi5TZsk9+uLME0YKsor2Yd8jMFgwKE/D0OrbcIjdy/C3+94BO8vL4ZOp2NfEciZ552Brd//Al2bDnU1dfh12x4Mzz4RR0rKkT4g3epydvqAdBwpMSYltm2WMTADR0q9l7CQ7tvYnX7h7LnegmMqA5i2Nh2iekVZPRYVHYXW1jZBEQUfHe0dWF70DiaePg6p6f3Q1trWbV7WqOgotLa0oe1Yu/SyaLNevaK6HieesebDtZg0ZQJ6JyVaPd7WqkOvXr2sHusVbdzuIaGh7EM+RFuvRUdHB37Zsg13/f12hIWFYtmzb+CLT75kXxHI8cOG4Luvv8e9s+fDYDBgwunjkX3yKHzxyXqrbQ6YtnsrAOPVsaho8/KoY/2os7OT4yq9hCf9wtlzvQXPVAYwkZERaG1ptXqstaUNUVGRgiIKLgwGA1a8/C40YWG4/LpcAMb/DLu3SSuiekUi8li7WC5vbW3tepz0nJKDpdi7ax/OOn9Kt2WRUfb7SWRUJPuQjwmPCAcATDl3MhIS4xEbF4upF0zBr9t2s68IwmAw4KWnl2H0uFH4x2uLsfilR9HS3IxP3vsUEZH22yQyypjE2LaZcVkkE0ov4km/cPZcb8GkMoBJSU2GocOAivLKrsdKD5UhtX+qwKiCg87OTvzrtZXQNmjxlztvQJgmDACQlpGK0kNlXeu1tbahqqIaqRmpiI6JRnxivNXy0kNlSMtge3nKb7t/R01lLRbc9Sjm3/YQ/vvZN9i2ZTuefHAJUm3apKqiGu36dqSkJrMP+ZjomGgkJiUCVjmH8Q/2FTE0NzWjtroWZ5x7OsLDNYiJi8HEyRPw67bdSOufirLDR2A5Z0rp4SNI698PQPc2M7ZJP79/hkDGk37h7LnegkllABMZFYnR40ZhTfHnaGttwx/7/sSOn3ZiwmnjRIcW8Kx860McLTuKOXNvRkRERNfj2eNG4UhJOX7Zsg16nR6ff7wOGQPSkJpuPPBOOH0cvvhkPZqbmlFedhTfff09Jp4xXtTHCBhOO2sSHloyH4WP3Y3Cx+7G6VNPxcgxI3DrvDkYf+rJ2PnzLvy+9w+0tbZhTfFajB43ClG9otiH/MApZ4zH/9b9H7T1WjQ3NePrz7/FyDEj2FcEERsXiz7JSdjw3+/Q0dGB5qYW/PB/W5A+MA1Dhw9BSGgovl23AXp9O75dvwEAcMIIY+HbhNPH4evPv0VdTR3qa+vx1dpvMHHyBJEfR7V0dHRAr9PDYDCgs9MAvU6Pjo4Oj/qFq+d6A07TGOA0NTbh3VdXYu/OfYiJi8aMK3J4jz0fU1NVg4f+9hg04RqEhpr/b7vyxssx/rSTsWfnPnyw4iPUVtVg0JBBmDX7KvRJtnOPsYhwnHPhVN57zwd89tHnqDxaZXOfyjVo0jZjWNZQXHPLlVb3qWQf8h0d7R348J1V2LrpJ2jCw3HShNG4+MqLEB4Rzr4iiJKDpSh+52OUHipDaGgoThhxPC677lLEJ8Th8IES/Pv191FeWo5+x+5TOSCzPwDjFZpP3vsUm779HgAwacopuPhK3qeyJ3z20edYu2qd1WMXXDIN0y8936N+4ey53oBJJSGEEEII8Rhe/iaEEEIIIR7DpJIQQgghhHgMk0pCCCGEEOIxTCoJIYQQQojHMKkkhBBCCCEew6SSEEIIIYR4DJNKQgghhBDiMUwqCSGEEEKIxzCpJIQQQgghHsOkkhBCCCGEeAyTSkIIIYQQ4jFMKgkhhBBCiMcwqSSEEEIIIR7DpJIQQgghhHgMk0pCCCGEEOIxTCoJIYQQQojHMKkkhBBCCCEew6SSEEIIIYR4DJNKQggRwPf/+wF331wo7P2bm5oxv2ABKo9WeeX19Pp2LLhrIQ79cdgrr0cIUR8hnZ2dnaKDIISQQOL2a+c6XT7h9PHIuzEXbS1tiEuI81NU1nz879Vo1DZh1uyrvPaa367bgO1bd+L2+/O99pqEEPWgER0AIYQEGoteeLjr952//Ip/v/6+1WPhEeGIiIhARESE/4MDoGvT4btvNmPO3L949XXHnXoSPv73ahwpKUda/1SvvjYhRH6YVBJCiJeJT4zv+r1XdK9ujwHGy98frPgIS15bDAD47KPP8csP23F2zln47KPP0djQhLETR+PKmy7Hd99sxvr//Bc6nQ4TTx+PmVddhNBQ4+il9vZ2rPlwLX787ic0NTUjLSMVF152AYZnn+gwvl3bdiMkBBh8wnFdj/22+3c8//hLuK3wr/jP+5+hrOQIUjP64aqbrsCAzP4AgJbmFnyw4iPs3r4Xra2tSEiMx5Rpk3HW+VMAADGxMThu6HHYuuknXHj5dC9sSUKImmBSSQghklBdVYPtP+3EnLk3o762Hq89/xYa6hoQnxiPgnlzcPTIUbzx4goMPiETY8aPBgC8u+w9VFVU4fpbZyExKRG7tv2KV555Hfc8chf6D8qw+z779/6BAZkDEBIS0m3Z6vfX4OK8CxGfGI/idz7G8qJ38MDi+xASEoJPP1yLssNHMOfuvyA+IQ7VlTVobGi0ev6gIQPx25793t84hBDpYaEOIYRIQqfBgFm3XIn0AWkYnn0iRmSfiMMHSnDlTZcjNaMfRo/LxuChx2Hfr78DACqPVmHr9z/jxtuux/EnDkHflD6Ycu5kjBg9HBu/3uTwfWqqapHQO97usgtzL8AJI4YiNb0fLpg5DUfLKlBXW9/1vAGZ/ZE5ZBCS+iZh6PDjMXbiGKvnJyTGo6aq1jsbhBCiKnimkhBCJKF3n95dl8sBIC4+DsmpydBozIfquIS4rrODJQdK0NnZiUWFT1q9Tnt7O04YMdTh++j1esSHx9pdlj4wvet30yX7xoZG9E5KxOlnn4o3nl+OQ38exolZw5A1dgSGDj/e6vnhEeHQ6/QKPzEhJJBgUkkIIZIQFhZm/UBI98dCABiO3bTD0NmJkJAQ3PvI3xCmsb7wFB4e7vB9YmNj0NzU4iAG8+uYLo93GozvN3L0cDzy3IP4ddse7N31G15e8hrGThhtVUHe3NSM2PgY5x+UEBKQ8PI3IYSolAGDMtDZ2YmG+gYk90u2+klMSnT4vP6DMlBeerRH7xkbF4sJp4/DtXOuwtU35+GH//sRen171/IjJeUYMKh/j16bEKJumFQSQohKSUlLwbhTT8I7y97Dzz9sQ1VFNQ79cRj/XfM1ftmy3eHzhmcPQ3nZUTRpm9x6vzXFa7Htxx2oKK9EeelRbPtxB/okJyE83HzRa//eP5xWnhNCAhde/iaEEBUz65ar8MXq9fjkvf+grqYe0bHRGDR4IIaOON7hc9IHpGPQkIHY+v3POOPc0xW/l0ajwacffobqyhqEh2uQOWQQ5sy9uWv5n78dQEtzK8ZMyPboMxFC1Aln1CGEkCDk1+27Ufz2x3jgyfu67nnpKa8/vxz9MzNw3oxzvPJ6hBB1wTOVhBAShIzIHo6KcypRV1OHpL5JHr+eXt+OjIFpOOv8M7wQHSFEjfBMJSGEEEII8RgW6hBCCCGEEI9hUkkIIYQQQjyGSSUhhBBCCPEYJpWEEEIIIcRjmFQSQgghhBCPYVJJCCGEEEI85v8BhFATZV8hnpgAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Extract optimized controls.\n",
    "controls[\"Q-CTRL\"] = {\"$\\\\gamma$\": result[\"output\"][\"transmon.drive_filtered\"]}\n",
    "qv.plot_controls(controls[\"Q-CTRL\"], polar=False)\n",
    "\n",
    "# Save simulation results.\n",
    "simulation_results[\"Q-CTRL\"] = result"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The plot above displays the pulses for the optimized SNAP gate. The maximum Rabi rate and cutoff frequency of these controls is set sufficiently high to ensure that all of the populated cavity levels can be simultaneously addressed."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### State leakage analysis using simulation\n",
    "\n",
    "To observe the dynamics, we plot the state evolution under the optimized SNAP gate.\n",
    "We can extract the simulated evolution of the system from the optimization result, and plot it as in the standard case."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_ground_states_dynamics(\n",
    "    simulation_results[\"Q-CTRL\"], transmon_dimension, cavity_dimension, \"optimized\"\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plotted are the populations (left) and relative phases (right) of the $|0,n\\rangle$ states during the optimized SNAP gate. The control solution generated using Boulder Opal is shorter than the standard gate because it allowed us to leverage a higher Rabi rate. The impact of leakage is actively controlled throughout the gate, ensuring that the neighboring Fock state populations follow their individual trajectories back to the original starting point. Observe that the relative phases of the states evolve in such a way that the phase of the targeted $|1\\rangle_C$ state reaches the specified target value $\\theta =\\pi/2$ by the end of the gate (indicated by the dashed black line), while phases of the neighboring states converge to 0, in the process also eliminating the effects of the Kerr term."
   ]
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
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    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
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   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
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   "toc_position": {},
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   "toc_window_display": true
  }
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