Basic_Entanglement.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction to Entanglement\n",
    "\n",
    "This part looks at some of the implications of quantum mechanics in 2D systems.  The concept of \"entanglement\" that you will meet here was one of the most contentious parts of early quantum physics–Einstein famously denounced its apparent \"spooky action at a distance\"–and now is one of the corenerstones of quantum computing."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Initialisation code\n",
    "\n",
    "**You need to run all cells in this section first for anything to work.**  Click \"Runtime > Run all\" in the top toolbar to automatically do this.  You don't need to read or understand the code in this section, but feel free to ask about it if you're interested.  [After running the cells, click here to jump to the exercises.](#start-here)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import keyword\n",
    "import functools\n",
    "import numbers\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "%matplotlib inline\n",
    "from matplotlib import pyplot\n",
    "import matplotlib\n",
    "matplotlib.rcParams['figure.dpi'] = 120\n",
    "\n",
    "import IPython\n",
    "import ipywidgets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Wavefunction:\n",
    "    \"\"\"\n",
    "    A wavefunction for a particle-in-an-arbitrarily-dimensioned-box.  I assume\n",
    "    that all the boxes dimensions are the same.\n",
    "    \"\"\"\n",
    "\n",
    "    def __init__(self, dimensions, state_vector):\n",
    "        if isinstance(dimensions, str):\n",
    "            dimensions = (dimensions,)\n",
    "        if not isinstance(dimensions, (list, tuple)):\n",
    "            raise TypeError(\"'dimensions' must be a list of dimension names\")\n",
    "        if not dimensions:\n",
    "            raise ValueError(\"can't have a 0D wavefunction\")\n",
    "        if not all(_valid_identifier(dimension) for dimension in dimensions):\n",
    "            raise ValueError(\"all identifiers must have valid Python names\")\n",
    "        # Sort the dimensions so that objects created out-of-order still end up\n",
    "        # looking the same.\n",
    "        self.dimensions = sorted(dimensions)\n",
    "        # I store each wavefunction as a vector, where each element is the\n",
    "        # coefficient of a particular eigenstate of the system.  In real life\n",
    "        # the phases can be complex, but to make the plotting clearer in this\n",
    "        # notebook, I only use real coefficients.\n",
    "        self.vector = np.asarray(state_vector, dtype=np.float64)\n",
    "        if self.vector.ndim != len(self.dimensions):\n",
    "            raise ValueError(\"state vector shape does not match dimensions\")\n",
    "        if 0 in self.vector.shape:\n",
    "            raise ValueError(\"a dimension has 0 length\")\n",
    "        norm = np.linalg.norm(self.vector)\n",
    "        # With floating-point numbers you can't reliably use '==' because\n",
    "        # they're not 100% accurate, so you should compare within a tolerance.\n",
    "        self.is_normalised = abs(norm - 1) < 1e-10\n",
    "\n",
    "    def normalise(self):\n",
    "        \"\"\"Return a new Wavefunction which is normalised.\"\"\"\n",
    "        norm = np.linalg.norm(self.vector)\n",
    "        if norm < 1e-10:\n",
    "            # norm is effectively 0; just return the 0 vector.\n",
    "            return Wavefunction(self.dimensions, np.zeros_like(self.vector))\n",
    "        # Fix the gauge, so the first element's coefficient is positive.\n",
    "        index = tuple(n[0] for n in np.nonzero(self.vector))\n",
    "        vector = self.vector * (np.sign(self.vector[index]) / norm)\n",
    "        return Wavefunction(self.dimensions.copy(), vector)\n",
    "\n",
    "    def __add__(self, other):\n",
    "        \"\"\"\n",
    "        Add this Wavefunction to another of the same dimension.  This magic\n",
    "        method overloads the '+' operator.\n",
    "        \"\"\"\n",
    "        if not isinstance(other, Wavefunction):\n",
    "            return NotImplemented\n",
    "        if self.dimensions != other.dimensions:\n",
    "            raise ValueError(\"can't add wavefunctions of different dimensions\")\n",
    "        new_shape = tuple(\n",
    "            np.max([self.vector.shape, other.vector.shape], axis=0)\n",
    "        )\n",
    "        new_vector = (\n",
    "            _pad_to_size(new_shape, self.vector)\n",
    "            + _pad_to_size(new_shape, other.vector)\n",
    "        )\n",
    "        return Wavefunction(self.dimensions, new_vector)\n",
    "\n",
    "    def __sub__(self, other):\n",
    "        \"\"\"\n",
    "        Subtract another Wavefunction of the same dimension from this one.\n",
    "        This magic method overloads the binary '-' operator.\n",
    "        \"\"\"\n",
    "        if not isinstance(other, Wavefunction):\n",
    "            return NotImplemented\n",
    "        return self + (-other)\n",
    "\n",
    "    def __neg__(self):\n",
    "        \"\"\"\n",
    "        Magic method that finds the negative of this object.  Overloads the\n",
    "        unary '-' operator.\n",
    "        \"\"\"\n",
    "        return -1*self\n",
    "\n",
    "    def __mul__(self, other):\n",
    "        \"\"\"\n",
    "        Multiply this object by something, with the other thing on the right.\n",
    "        Defined for numbers and other wavefunctions that don't share a\n",
    "        dimension with us.  This magic method overloads the '*' operator.\n",
    "        \"\"\"\n",
    "        if isinstance(other, numbers.Real):\n",
    "            # Multiplication by a scalar.  (Should be complex in real life, but\n",
    "            # we're only considering real numbers for easier visualisation.)\n",
    "            return Wavefunction(self.dimensions, other*self.vector)\n",
    "        if not isinstance(other, Wavefunction):\n",
    "            return NotImplemented\n",
    "        # In the abstract linear algebra sense this operation is actually\n",
    "        # called the \"tensor product\", not multiplication, but you'll see more\n",
    "        # of that in third- and fourth-year quantum information.\n",
    "        if set(self.dimensions) & set(other.dimensions):\n",
    "            raise ValueError(\"can't multiply wavefunctions in the same dimension\")\n",
    "        # Because I let you create and combine vectors that aren't all in the\n",
    "        # same \"Hilbert space\" from the beginning, I have to do a little bit of\n",
    "        # convoluted logic here to make sure that the separate dimensions are\n",
    "        # in the same order, no matter how you made this object.\n",
    "        dimensions = self.dimensions + other.dimensions\n",
    "        order = np.argsort(dimensions)\n",
    "        vector = np.tensordot(self.vector, other.vector, axes=0).transpose(order)\n",
    "        return Wavefunction(dimensions, vector)\n",
    "    \n",
    "    def __rmul__(self, other):\n",
    "        \"\"\"\n",
    "        Multiply ourselves by something, which ourselves on the right.\n",
    "        Normally in quantum mechanics, multiplication is not commutative, but\n",
    "        with how I have defined things here, it's always safe to do so.\n",
    "        \"\"\"\n",
    "        return self * other\n",
    "    \n",
    "    def __truediv__(self, other):\n",
    "        \"\"\"\n",
    "        Divide this object by a real number.  Magic method overrides '/'.\n",
    "        \"\"\"\n",
    "        if not isinstance(other, numbers.Real):\n",
    "            return NotImplemented\n",
    "        return self * (1 / other)\n",
    "\n",
    "    def __call__(self, **dimensions):\n",
    "        \"\"\"\n",
    "        Magic method that overloads the \"function-call\" syntax in Python.  You\n",
    "        access this by doing `u(x=0, y=1)` on a `Wavefunction` `u`.\n",
    "\n",
    "        This returns the value of the wavefunction evaluated at the given\n",
    "        values for the dimensions.  If you pass a list or array to any of the\n",
    "        dimensions, you get back a full mesh of values evaluated at every\n",
    "        combination of the dimensions.\n",
    "        \"\"\"\n",
    "        if set(dimensions) != set(self.dimensions):\n",
    "            raise TypeError(\"must supply a value for each dimension\")\n",
    "        scalar = all(np.isscalar(x) for x in dimensions.values())\n",
    "        dimensions = [\n",
    "            np.atleast_1d(dimensions[dimension])\n",
    "            for dimension in self.dimensions\n",
    "        ]\n",
    "        out = np.zeros(\n",
    "            tuple(dimension.size for dimension in dimensions),\n",
    "            dtype=np.float64,\n",
    "        )\n",
    "        wavenumber_scale = np.pi / BOX_WIDTH\n",
    "        for ns in zip(*np.nonzero(self.vector)):\n",
    "            ks = (np.array(ns) + 1) * wavenumber_scale\n",
    "            # I recalculate the mesh each time because this minimises the\n",
    "            # number of calls to the expensive `sin`, and `meshgrid` creates\n",
    "            # very efficient arrays that don't copy as much data as you'd\n",
    "            # expect.\n",
    "            separate = np.meshgrid(*[\n",
    "                np.sin(k*dim) for k, dim in zip(ks, dimensions)\n",
    "            ], indexing='ij')\n",
    "            out += self.vector[ns] * np.prod(separate, axis=0)\n",
    "        # Apply the normalisation of the eigenstates.\n",
    "        out *= np.sqrt(2 / BOX_WIDTH)**len(self.dimensions)\n",
    "        return out.flat[0] if scalar else out\n",
    "    \n",
    "    def measure(self, **dimensions):\n",
    "        \"\"\"\n",
    "        Find the new wavefunction if a measurement is performed with a \n",
    "        given result (e.g. `u.measure(x=0.4)`).\n",
    "        \"\"\"\n",
    "        if set(dimensions) - set(self.dimensions):\n",
    "            raise ValueError(\"unknown dimensions in measurement\")\n",
    "        if not (set(self.dimensions) - set(dimensions)):\n",
    "            raise ValueError(\"measuring all dimensions fully localises the wavefunction\")\n",
    "        measure_i, keep_i = [], []\n",
    "        for i, dimension in enumerate(self.dimensions):\n",
    "            (measure_i if dimension in dimensions else keep_i).append(i)\n",
    "        shape = tuple(self.vector.shape[i] for i in keep_i)\n",
    "        vector = np.zeros(shape, dtype=np.float64)\n",
    "        k_scale = np.pi / BOX_WIDTH\n",
    "        for ns in zip(*np.nonzero(self.vector)):\n",
    "            out_i = tuple(ns[i] for i in keep_i)\n",
    "            sin_part = np.prod([\n",
    "                np.sin((ns[i]+1)*k_scale*dimensions[self.dimensions[i]])\n",
    "                for i in measure_i\n",
    "            ])\n",
    "            vector[out_i] += self.vector[ns] * sin_part\n",
    "        return Wavefunction([self.dimensions[i] for i in keep_i], vector)\n",
    "\n",
    "    def __repr__(self):\n",
    "        \"\"\"\n",
    "        Magic method that is used to get the somewhat machine-readable\n",
    "        representation of the object in a normal Python session.\n",
    "        \"\"\"\n",
    "        return \"\".join([\n",
    "            self.__class__.__name__, \"(\",\n",
    "            repr(self.dimensions),\n",
    "            \", \",\n",
    "            repr(self.vector),\n",
    "            \")\"\n",
    "        ])\n",
    "\n",
    "    def _repr_latex_(self):\n",
    "        \"\"\"\n",
    "        Magic method that Jupyter/IPython uses to get a LaTeX representation of\n",
    "        the object.\n",
    "        \"\"\"\n",
    "        parts = []\n",
    "        for ns in zip(*np.nonzero(self.vector)):\n",
    "            basis = \"\".join(\n",
    "                rf\"\\lvert {{{n + 1}}}_{{{dimension}}}\\rangle\"\n",
    "                for dimension, n in zip(self.dimensions, ns)\n",
    "            )\n",
    "            coeff = self.vector[ns]\n",
    "            parts.append(f\"{coeff:+.2f}{basis}\")\n",
    "        if not parts:\n",
    "            return r\"$$\\text{[zero vector]}$$\"\n",
    "        if parts[0].startswith(\"+\"):\n",
    "            parts[0] = parts[0][1:]\n",
    "        return r\"$$\" + \" \".join(parts) + r\"$$\"\n",
    "    \n",
    "BOX_WIDTH = 1\n",
    "\n",
    "def _pad_to_size(shape, array):\n",
    "    \"\"\"\n",
    "    Helper function that adds zeros onto axes in an array to make it up to a\n",
    "    certain shape.\n",
    "    \"\"\"\n",
    "    pad_size = [(0, new - old) for new, old in zip(shape, array.shape)]\n",
    "    return np.pad(array, pad_size)\n",
    "\n",
    "def _valid_identifier(name):\n",
    "    \"\"\"\n",
    "    Helper function to determine if a name is a valid Python identifier.\n",
    "    \"\"\"\n",
    "    if not isinstance(name, str):\n",
    "        return False\n",
    "    if not name.isidentifier():\n",
    "        return False\n",
    "    return not keyword.iskeyword(name)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def x(n):\n",
    "    \"\"\"\n",
    "    Get the nth eigenstate of the particle-in-a-box in the x-direction.  'n'\n",
    "    must be a natural number.\n",
    "    \"\"\"\n",
    "    if not isinstance(n, numbers.Integral):\n",
    "        raise TypeError(\"'n' must be an integer\")\n",
    "    if n <= 0:\n",
    "        raise ValueError(\"'n' must be a natural number\")\n",
    "    return Wavefunction(['x'], [0]*(n - 1) + [1])\n",
    "\n",
    "def y(n):\n",
    "    \"\"\"\n",
    "    Get the nth eigenstate of the particle-in-a-box in the y-direction.  'n'\n",
    "    must be a natural number.\n",
    "    \"\"\"\n",
    "    if not isinstance(n, numbers.Integral):\n",
    "        raise TypeError(\"'n' must be an integer\")\n",
    "    if n <= 0:\n",
    "        raise ValueError(\"'n' must be a natural number\")\n",
    "    return Wavefunction(['y'], [0]*(n - 1) + [1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_wavefunction(u):\n",
    "    \"\"\"Plot the given 1D or 2D wavefunction.\"\"\"\n",
    "    u = u.normalise()\n",
    "    IPython.display.display(u)\n",
    "    if len(u.dimensions) == 1:\n",
    "        return _plot_wavefunction_1d(u)\n",
    "    if len(u.dimensions) == 2:\n",
    "        return _plot_wavefunction_2d(u)\n",
    "    raise ValueError(\"can only plot 1D or 2D wavefunctions\")\n",
    "    \n",
    "def plot_probability(u, _ylim=None):\n",
    "    \"\"\"\n",
    "    Plot the probability density function of the given 1D or 2D\n",
    "    wavefunction.\n",
    "    \"\"\"\n",
    "    u = u.normalise()\n",
    "    IPython.display.display(u)\n",
    "    if len(u.dimensions) == 1:\n",
    "        return _plot_probability_1d(u, ylim=_ylim)\n",
    "    if len(u.dimensions) == 2:\n",
    "        return _plot_probability_2d(u)\n",
    "    raise ValueError(\"can only plot 1D or 2D wavefunctions\")\n",
    "    \n",
    "def plot_probability_after_measurement(state):\n",
    "    if len(state.dimensions) != 2:\n",
    "        raise ValueError(\"can only plot for a 2D state\")\n",
    "    # Calculate the before-measurement bit first because it's always the same,\n",
    "    # and as a side-effect we can calculate some limits that will _always_ fit\n",
    "    # the entire plot in.\n",
    "    state = state.normalise()\n",
    "    points = [\n",
    "        np.linspace(0, BOX_WIDTH, _choose_points(state, i))\n",
    "        for i in range(len(state.dimensions))\n",
    "    ]\n",
    "    values = np.abs(state(**dict(zip(state.dimensions, points))))**2\n",
    "    ylimits = np.min(values), np.max(values)\n",
    "    before_measurement = np.trapz(values, points[0], axis=0)\n",
    "    def interactive_bit(measurement_result):\n",
    "        plot_probability(\n",
    "            state.measure(**{state.dimensions[-1]: measurement_result}),\n",
    "            _ylim=ylimits,\n",
    "        )\n",
    "        pyplot.plot(\n",
    "            points[0], before_measurement,\n",
    "            dashes=(10, 10),\n",
    "        )\n",
    "        pyplot.legend(['After measurement', 'Before measurement'])\n",
    "    return interactive_bit\n",
    "    \n",
    "def _choose_points(u, dimension_index):\n",
    "    peaks = np.max(\n",
    "        np.nonzero(u.vector)[dimension_index],\n",
    "        # Set a sensible minimum value.\n",
    "        initial=2,\n",
    "    )\n",
    "    return 1 + 60*peaks\n",
    "\n",
    "def _plot_wavefunction_1d(u):\n",
    "    points = np.linspace(0, BOX_WIDTH, _choose_points(u, 0))\n",
    "    values = u(**{u.dimensions[0]: points})\n",
    "    pyplot.plot(points, values)\n",
    "    pyplot.xlim((0, BOX_WIDTH))\n",
    "    limits = (np.min(values), np.max(values))\n",
    "    if limits[0] == limits[1]:\n",
    "        limits = (-1, 1)\n",
    "    pyplot.ylim(limits)\n",
    "    pyplot.xlabel(u.dimensions[0])\n",
    "    pyplot.ylabel(\"Wavefunction\")\n",
    "    pyplot.axhline(0, color='black', linewidth=0.7, dashes=(15, 15))\n",
    "    \n",
    "def _plot_wavefunction_2d(u):\n",
    "    points = [\n",
    "        np.linspace(0, BOX_WIDTH, _choose_points(u, i))\n",
    "        for i in range(len(u.dimensions))\n",
    "    ]\n",
    "    values = u(**dict(zip(u.dimensions, points)))\n",
    "    max_abs = np.max(np.abs(values))\n",
    "    pyplot.pcolormesh(\n",
    "        points[0], points[1], values.transpose(),\n",
    "        # If you're colorblind and can't distinguish the positive region from\n",
    "        # the negative, try changing the \"PiYG\" to one of\n",
    "        #   \"PRGn\" (purple--green),\n",
    "        #   \"BrBG\" (brown--blue/green),\n",
    "        #   \"PuOR\" (purple--orange),\n",
    "        #   \"RdBu\" (red--blue).\n",
    "        cmap=matplotlib.cm.PiYG,\n",
    "        vmin=-max_abs,\n",
    "        vmax=max_abs,\n",
    "        shading='auto',\n",
    "    )\n",
    "    pyplot.colorbar().set_label(\n",
    "        \"Wavefunction\",\n",
    "        rotation=90,\n",
    "    )\n",
    "    pyplot.xlim((0, BOX_WIDTH))\n",
    "    pyplot.ylim((0, BOX_WIDTH))\n",
    "    pyplot.xlabel(u.dimensions[0])\n",
    "    pyplot.ylabel(u.dimensions[1])\n",
    "    pyplot.gca().set_aspect('equal')\n",
    "    \n",
    "def _plot_probability_1d(u, ylim=None):\n",
    "    points = np.linspace(0, BOX_WIDTH, _choose_points(u, 0))\n",
    "    values = np.abs(u(**{u.dimensions[0]: points}))**2\n",
    "    pyplot.plot(points, values)\n",
    "    pyplot.xlim((0, BOX_WIDTH))\n",
    "    limits = ylim if ylim is not None else (np.min(values), np.max(values))\n",
    "    if limits[0] == limits[1]:\n",
    "        limits = (-1, 1)\n",
    "    pyplot.ylim(limits)\n",
    "    pyplot.xlabel(u.dimensions[0])\n",
    "    pyplot.ylabel(\"Probability density\")\n",
    "    \n",
    "def _plot_probability_2d(u):\n",
    "    points = [\n",
    "        np.linspace(0, BOX_WIDTH, _choose_points(u, i))\n",
    "        for i in range(len(u.dimensions))\n",
    "    ]\n",
    "    values = np.abs(u(**dict(zip(u.dimensions, points))))**2\n",
    "    pyplot.pcolormesh(\n",
    "        points[0], points[1], values.transpose(),\n",
    "        cmap=matplotlib.cm.magma_r,\n",
    "        shading='auto',\n",
    "    )\n",
    "    pyplot.colorbar().set_label(\n",
    "        \"Probability density\",\n",
    "        rotation=90,\n",
    "    )\n",
    "    pyplot.xlim((0, BOX_WIDTH))\n",
    "    pyplot.ylim((0, BOX_WIDTH))\n",
    "    pyplot.xlabel(u.dimensions[0])\n",
    "    pyplot.ylabel(u.dimensions[1])\n",
    "    pyplot.gca().set_aspect('equal')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a name=\"start-here\"></a>\n",
    "## Introduction: How to use this notebook, and the 1D particle in a box\n",
    "\n",
    "Remember the position wavefunctions of the eigenstates of the 1D particle in a box are\n",
    "$$\n",
    "\\psi_n(x) = \\sqrt{\\frac2L} \\sin(k_n x), \\quad\\text{where $k_n = n\\pi/L$.}\n",
    "$$\n",
    "\n",
    "In this notebook, you can create a representation of the $x$-direction wavefunction $\\psi_n(x)$ by calling the function `x(n)`.  You can multiply and divide these by real numbers (we're ignoring complex numbers to make plotting easier) and add together states to make superpositions, such as `(x(1) + 2*x(2)) / np.sqrt(5)`.  You can normalise a wavefunction `psi` by calling `psi.normalise()`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$0.45\\lvert {1}_{x}\\rangle +0.89\\lvert {2}_{x}\\rangle$$"
      ],
      "text/plain": [
       "Wavefunction(['x'], array([0.4472136 , 0.89442719]))"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(x(1) + 2*x(2)).normalise()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can plot the wavefunction by calling `plot_wavefunction(psi)`, or plot the probability density by calling `plot_probability(psi)`.  These functions will automatically normalise their inputs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$1.00\\lvert {3}_{x}\\rangle$$"
      ],
      "text/plain": [
       "Wavefunction(['x'], array([0., 0., 1.]))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_wavefunction(x(3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$0.71\\lvert {2}_{x}\\rangle -0.71\\lvert {4}_{x}\\rangle$$"
      ],
      "text/plain": [
       "Wavefunction(['x'], array([ 0.        ,  0.70710678,  0.        , -0.70710678]))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_probability(x(2) - x(4))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can use the form `psi.measure(y=0.3)` to collapse a 2D wavefunction `psi` down to 1D based on the given measurement of position (_not_ of the energy)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$0.50\\lvert {1}_{x}\\rangle\\lvert {1}_{y}\\rangle -0.50\\lvert {1}_{x}\\rangle\\lvert {2}_{y}\\rangle +0.50\\lvert {2}_{x}\\rangle\\lvert {1}_{y}\\rangle -0.50\\lvert {2}_{x}\\rangle\\lvert {2}_{y}\\rangle$$"
      ],
      "text/plain": [
       "Wavefunction(['x', 'y'], array([[ 0.5, -0.5],\n",
       "       [ 0.5, -0.5]]))"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "state_2d = ((x(1) + x(2)) * (y(1) - y(2))).normalise()\n",
    "state_2d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$0.71\\lvert {1}_{x}\\rangle +0.71\\lvert {2}_{x}\\rangle$$"
      ],
      "text/plain": [
       "Wavefunction(['x'], array([0.70710678, 0.70710678]))"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "state_2d.measure(y=0.75).normalise()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Questions: Investigating 2D wavefunctions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We are now considering a particle in a 2D box, where the widths of both dimensions are the same.  The $y$-position wavefunctions look exactly like the $x$-position ones in form.  In this notebook, you can make the state with wavefunction $\\psi_{x,n}(x)\\psi_{y,m}(y)$ by doing `x(n) * y(m)`.  You can combine these in the same manner as above, and plot them using the same functions."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Part 1: simple 2D wavefunctions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Use the sliders below to plot some 2D wavefunctions $\\lvert\\psi\\rangle=\\lvert n_x\\rangle\\lvert n_y\\rangle$ with varying $n_x$ and $n_y$.  \n",
    "- What do you notice about the shapes of the graphs, for example symmetries?\n",
    "- Where are you most likely to measure the particle in the $y$-direction?  Does that change if you measure its $x$-position first?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "89f743a0951b491f9238f0d0e4d4e1d7",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(IntSlider(value=1, description='n_x', max=5, min=1), IntSlider(value=1, description='n_y…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ipywidgets.interact(\n",
    "    lambda n_x, n_y: plot_wavefunction(x(n_x) * y(n_y)),\n",
    "    n_x=ipywidgets.IntSlider(value=1, min=1, max=5),\n",
    "    n_y=ipywidgets.IntSlider(value=1, min=1, max=5),\n",
    ");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Part 2: \"separable\" states (finish by 09:20/11:20)\n",
    "\n",
    "So far, the wavefunctions we have plotted could be written in the form\n",
    "$$\n",
    "\\Psi(x, y) = \\psi_x(x)\\psi_y(y),\n",
    "$$\n",
    "where you can separate out the $x$ and $y$ components.\n",
    "\n",
    "The code starts out with the state\n",
    "$$\\lvert\\psi\\rangle = \\frac12\\Bigl(\\lvert 1_x\\rangle\\lvert 1_y\\rangle - \\lvert 1_x\\rangle\\lvert 2_y\\rangle - \\lvert 2_x\\rangle\\lvert 1_y\\rangle + \\lvert 2_x\\rangle\\lvert 2_y\\rangle\\Bigr).$$\n",
    "This is actually separable, because you could also write it as\n",
    "$$\\lvert\\psi\\rangle = \\frac12\\bigl(\\lvert 1_x\\rangle - \\lvert 2_x\\rangle\\bigr)\\bigl(\\lvert 1_y\\rangle - \\lvert 2_y\\rangle\\bigr).$$\n",
    "\n",
    "- In writing, can you come up with a quantum state which _cannot_ be written in this separated form?\n",
    "- Use the code cell below to plot such a state and see what the wavefunction looks like.  Compare its shape to the plots you made in the previous part."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$0.50\\lvert {1}_{x}\\rangle\\lvert {1}_{y}\\rangle -0.50\\lvert {1}_{x}\\rangle\\lvert {2}_{y}\\rangle -0.50\\lvert {2}_{x}\\rangle\\lvert {1}_{y}\\rangle +0.50\\lvert {2}_{x}\\rangle\\lvert {2}_{y}\\rangle$$"
      ],
      "text/plain": [
       "Wavefunction(['x', 'y'], array([[ 0.5, -0.5],\n",
       "       [-0.5,  0.5]]))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Change the next line to represent your non-separable state.  The state\n",
    "# will be normalised automatically for you when it is plotted.\n",
    "state = x(1)*y(1) - x(2)*y(1) - x(1)*y(2) + x(2)*y(2)\n",
    "plot_wavefunction(state)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Part 3: non-separable states (finish by 09:45/11:45)\n",
    "\n",
    "Consider a particle trapped in a 2D infinite square well in a state\n",
    "\n",
    "$$\n",
    "\\lvert\\theta\\rangle =\n",
    "    \\sin(\\theta)\\lvert 1_x\\rangle \\lvert 2_y\\rangle\n",
    "    + \\cos(\\theta)\\lvert 2_x\\rangle\\lvert 1_y\\rangle.\n",
    "$$\n",
    "\n",
    "The plot below is the probability distribution over $x$ and $y$.  Use the slider to change the angle $\\theta$ as a fraction of $\\pi$.\n",
    "\n",
    "- When is this state separable and when is it not?\n",
    "- On paper, what would the instantaneous wavefunction look like we meausred $y = \\frac12$?  What about if we measured $y=\\frac14$?\n",
    "- Does the probability distribution of $x$ measurements depend on what you measure $y$ to be?  What does this imply physically?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "a0c721a5e8a246cea81b1a6e2aae061e",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(FloatSlider(value=0.0, continuous_update=False, description='angle', max=1.0, step=0.05)…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ipywidgets.interact(\n",
    "    lambda angle: plot_probability(\n",
    "        np.sin(np.pi*angle)*x(1)*y(2) + np.cos(np.pi*angle)*x(2)*y(1)\n",
    "    ),\n",
    "    angle=ipywidgets.FloatSlider(min=0, max=1, step=0.05, continuous_update=False),\n",
    ");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following cell compares the probability density of the $x$-position of the state $\\lvert\\pi/4\\rangle$ before and after a measurement of $y$ (you can also change it to use a separable state to see the difference).\n",
    "\n",
    "- Check that a measurement in one dimension affects the probability distribution in the other for the non-separable state.\n",
    "- Check that the same measurement on a separable state doesn't affect the other probability distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7dce6cdfd3a843d9b66527cae47773d2",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(Dropdown(description='State type', options=(('non-separable', <function plot_probability…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nonseparable = (x(1)*y(2) + x(2)*y(1)) / np.sqrt(2)\n",
    "separable = (x(1) - x(2)) * (y(1) - y(2)) / 2\n",
    "\n",
    "ipywidgets.interactive(\n",
    "    lambda plotter, measurement_result: plotter(measurement_result),\n",
    "    plotter=ipywidgets.Dropdown(\n",
    "        options=[\n",
    "            ('non-separable', plot_probability_after_measurement(nonseparable)),\n",
    "            ('separable', plot_probability_after_measurement(separable)),\n",
    "        ],\n",
    "        description='State type',\n",
    "    ),\n",
    "    measurement_result=ipywidgets.FloatSlider(\n",
    "        value=BOX_WIDTH/2,\n",
    "        min=0, max=BOX_WIDTH, step=BOX_WIDTH/20, \n",
    "        description=\"y_0\",\n",
    "        continuous_update=False,\n",
    "    ),\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Part 4: two entangled particles in boxes\n",
    "\n",
    "Now consider this system with two identical particles each in the ground state of a 1D infinite square well $\\lvert 1_u\\rangle\\lvert 1_d\\rangle$ ($u$ for \"up\" and $d$ for \"down\"). There is a photon source connected to the wells by fibre via a beam splitter, such that a horizontally polarised photon ($\\lvert H\\rangle$) goes to the bottom well, and vertically polarised photon ($\\lvert V\\rangle$) goes to the top.\n",
    "\n",
    "![](https://raw.githubusercontent.com/jakelishman/2020-imperial-yr2-seminars/main/entanglement_circuit.svg)\n",
    "\n",
    "A horizontally polarised photon reaching the bottom well will excite the particle from $\\lvert 1_d\\rangle$ to $\\lvert 2_d\\rangle$, and similar for a vertically polarised photon in the top well.\n",
    "\n",
    "One photon in a polarisation state $\\bigl(\\sin\\theta\\lvert H\\rangle + \\cos\\theta\\lvert V\\rangle\\bigr)$ is sent through the fibre.\n",
    "\n",
    "- What is the state of the two wells system after the photon has been absorbed?\n",
    "- Can you write down separate wavefunctions for each particle individually?  What happens to the top particle if you measure the bottom one?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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     "0657fd6bfb25426395d775fc07cdd659": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "DescriptionStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "098a5581572c4226a1c5586fc679abe6": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "0b8dfcdb2dee41768ec1a95e6f5b7d0c": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_33cb6dcd37fb4d5c865733382e9730ba",
       "outputs": [
        {
         "data": {
          "text/latex": "$$0.00\\lvert {1}_{x}\\rangle +1.00\\lvert {2}_{x}\\rangle$$",
          "text/plain": "Wavefunction(['x'], array([1.2246468e-16, 1.0000000e+00]))"
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "<Figure size 720x480 with 1 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "0d14a743889c43fe9adfe3a8910e78b7": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "0e7cc1d543824c8f941b111c6d8dc264": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "DropdownModel",
      "state": {
       "_options_labels": [
        "entangled",
        "separable"
       ],
       "description": "State type",
       "index": 0,
       "layout": "IPY_MODEL_e61e82340c0a4684aa8b16d8c278c21d",
       "style": "IPY_MODEL_7f09af2ebe944b389c91dff68e3e9f3d"
      }
     },
     "0f23b5e203d04181a2e0182be9a5d213": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "DropdownModel",
      "state": {
       "_options_labels": [
        "entangled",
        "separable"
       ],
       "description": "State type",
       "index": 0,
       "layout": "IPY_MODEL_97d33df9362c410c8ec63154f7bde663",
       "style": "IPY_MODEL_c98a6f19f630432091fab587e963f24c"
      }
     },
     "0fa9639b50ef4d65a7f4098dd89be59c": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "10a856569a2a457d987247ffede6c02e": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "13fe8f05257147cfa24717ad7eed9bf8": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_e8db084d242d43d5b15733858dc233d0",
        "IPY_MODEL_3634bbbc58a24284a7fdebe5b221cd82"
       ],
       "layout": "IPY_MODEL_1cc915f76b38419791382cda4a22f071"
      }
     },
     "14b4601d74704319a5e974493aad2109": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "FloatSliderModel",
      "state": {
       "continuous_update": false,
       "description": "angle",
       "layout": "IPY_MODEL_10a856569a2a457d987247ffede6c02e",
       "max": 1,
       "step": 0.05,
       "style": "IPY_MODEL_d27e1e14353d4d54827172d4295b4034"
      }
     },
     "169ac46bb47d4e6aad037ccd9326b2c9": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_a8ac295c5ac74b1da1afc5a5ab93bd36",
       "outputs": [
        {
         "data": {
          "text/latex": "\\begin{equation*}0.82\\lvert {1}_{x}\\rangle -0.58\\lvert {2}_{x}\\rangle\\end{equation*}",
          "text/plain": "Wavefunction(['x'], array([ 0.81649658, -0.57735027]))"
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "image/png": 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      "state": {}
     },
     "2d521a2b096945cfb1544383e02e0af8": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "2dbdf471a3ac418ab6219ac828450fc8": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "2fdea2cd54da4b469ebdde4c8022be7f": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "305561fe6d75419aa1c6c15df87df90a": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "326cfd6f20924f17919dd0ef849d5b53": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "336e676de1c54778809385eaca421e61": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_6bf6ceff801f49a3a67c9db0e694020b",
       "outputs": [
        {
         "data": {
          "text/latex": "\\begin{equation*}1.00\\lvert {2}_{x}\\rangle\\lvert {1}_{y}\\rangle\\end{equation*}",
          "text/plain": "Wavefunction(['x', 'y'], array([[0., 0.],\n       [1., 0.]]))"
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "<Figure size 720x480 with 2 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "33cb6dcd37fb4d5c865733382e9730ba": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "3429c26f85564174892e1b34f6161f17": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_677890f971d24bb6bd25e96988b28639",
       "outputs": [
        {
         "data": {
          "text/latex": "\\begin{equation*}1.00\\lvert {2}_{x}\\rangle\\lvert {1}_{y}\\rangle\\end{equation*}",
          "text/plain": "Wavefunction(['x', 'y'], array([[0., 0.],\n       [1., 0.]]))"
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "<Figure size 720x480 with 2 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "34480edc8de243f4a5531fed220aa140": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "3576c2256921489b87fa4e8d508a7401": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "DropdownModel",
      "state": {
       "_options_labels": [
        "entangled",
        "separable"
       ],
       "description": "State type",
       "index": 0,
       "layout": "IPY_MODEL_4ca23bad4bd34db7b20e8d22e7a0301c",
       "style": "IPY_MODEL_ee6668fcb8914b479640cd0ca5fe273e"
      }
     },
     "3634bbbc58a24284a7fdebe5b221cd82": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_305561fe6d75419aa1c6c15df87df90a",
       "outputs": [
        {
         "data": {
          "text/latex": "$$1.00\\lvert {2}_{x}\\rangle\\lvert {1}_{y}\\rangle$$",
          "text/plain": "Wavefunction(['x', 'y'], array([[0., 0.],\n       [1., 0.]]))"
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "<Figure size 720x480 with 2 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
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      }
     },
     "414b8e565f6a47fbb7c579f463dc5a81": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "41af7e9032d74f538c07c2a77eb31da7": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "42ad7a1393b84ce39f1802251a1820d6": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "FloatSliderModel",
      "state": {
       "continuous_update": false,
       "description": "y_0",
       "layout": "IPY_MODEL_de469c0f30a249c18b67f9f2ee3e77cf",
       "max": 1,
       "step": 0.05,
       "style": "IPY_MODEL_6b991d7cc0124a90b0ed0374ced27b1d",
       "value": 0.75
      }
     },
     "467ef871f23745ff8ce80d0099077c14": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "46eba05b516e44b4992f4bde1d6e7dba": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "485917326a144bd1a3904802438ffcab": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "490c78e7550840d9ba06129c9b987556": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_5f950ab16746432d893b404cb63ffb82",
       "outputs": [
        {
         "data": {
          "text/latex": "\\begin{equation*}1.00\\lvert {3}_{x}\\rangle\\lvert {1}_{y}\\rangle\\end{equation*}",
          "text/plain": "Wavefunction(['x', 'y'], array([[0.],\n       [0.],\n       [1.]]))"
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "<Figure size 720x480 with 2 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "4a8d0c0f06454fb999fcd1a9fc937e89": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "4aa33202a6a44300afe04e309ef42dea": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "4ac78637db324d2984aac0504ea68eae": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_58922f6f311946f091e108145b46be77",
       "outputs": [
        {
         "data": {
          "text/latex": "$$0.00\\lvert {1}_{x}\\rangle +1.00\\lvert {2}_{x}\\rangle$$",
          "text/plain": "Wavefunction(['x'], array([1.2246468e-16, 1.0000000e+00]))"
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "image/png": 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iIkFExZ+IiIhIEFHxJyIiIhJEVPyJiIhfGjt2LMaYbEvJkiVp06YN06ZNy3O7KSkp3HHHHZQtW5bQ0FAaNmzouaAlqBw9epShQ4cyZ84cX4eSK2G+DkBERORsPvjgA2rXro21lu3bt/Pmm2/StWtXpkyZQteuXXPd3ttvv80777zDG2+8QePGjYmJifFC1BIMjh49yrBhwwBo06aNb4PJBRV/IiLi1xITE2nSpEnm844dO1KsWDHGjx+fp+IvKSmJ6Oho7rnnHo/FeOzYMaKjoz3WXrDQ9+YbuuwrIiIBJSoqioiICMLDw7OtT0lJYfjw4dSuXZvIyEhKlixJv3792LVrV+Y+xhjef/99jh07lnkpeezYsQAcP36cQYMGUaVKFSIiIihfvjx33303+/fvz/Y+CQkJdOnShS+//JJGjRoRFRWVefZn+/bt3H777VSoUIGIiAiqVKnCsGHDSEtLO+fnOtHutGnTaNSoEdHR0dSpUyfzEvfYsWOpU6cOhQsXplmzZixYsOC0NhYsWEC3bt0oXrw4UVFRNGrUiIkTJ2bbZ9euXdx1113UrVuXmJgYSpUqxWWXXcYvv/xyWntvv/02DRo0ICYmhtjYWGrXrs1jjz2WuX3o0KEYY0573YlL9uvXr/fY97Z+/XqMMbzwwgs899xzJCQkEB0dTZs2bVi1ahWpqakMHDiQcuXKERcXR48ePdi5c+dpsU2YMIEWLVpQuHBhYmJi6NChA4sWLcq2T9++fYmJiWHNmjV07tyZmJgYKlasyEMPPURycnJmPCVLlgRg2LBhmf+f+vbte9p7+hud+RMREb+Wnp5OWloa1lp27NjBCy+8wJEjR7jhhhsy98nIyKB79+788ssvPPLII1x88cVs2LCBIUOG0KZNGxYsWEB0dDRz587lqaee4scff+SHH34AoFq1alhrueqqq5g9ezaDBg2idevW/P333wwZMoS5c+cyd+5cIiMjM99v4cKFLF++nMGDB1OlShUKFy7M9u3badasGSEhIfzvf/+jWrVqzJ07l+HDh7N+/Xo++OCDc37WJUuWMGjQIB5//HHi4uIYNmwYPXv2ZNCgQcyePZsRI0ZgjOHRRx+lS5curFu3LvPM2Y8//kjHjh1p3rw5o0aNIi4ujs8++4zrrruOo0ePZhYle/fuBWDIkCGUKVOGw4cP89VXX9GmTRtmz56defnys88+46677uLee+/lxRdfJCQkhDVr1rBs2bI8H0tPfG8jR46kfv36jBw5kv379/PQQw/RtWtXmjdvTnh4OGPGjGHDhg08/PDDDBgwgClTpmS+dsSIEQwePJh+/foxePBgUlJSeOGFF2jdujXz58+nbt26mfumpqbSrVs3+vfvz0MPPcTPP//MU089RVxcHP/73/8oW7YsM2bMoGPHjvTv358BAwYAZBaEfs1aW2AXoB5gk5KSrIhIQfTvv//af//9N+eNCz+xdkxn7y4LP/HaZ/vggw8scNoSGRlp33rrrWz7jh8/3gL2iy++yLb+zz//tEC2/fv06WMLFy6cbb8ZM2ZYwD7//PPZ1k+YMMEC9t13381cV7lyZRsaGmpXrlyZbd/bb7/dxsTE2A0bNmRb/+KLL1rALl269Kyft3LlyjY6Otpu3rw5c93ixYstYMuWLWuPHDmSuf7rr7+2gJ0yZUrmutq1a9tGjRrZ1NTUbO126dLFli1b1qanp+f4vmlpaTY1NdW2a9fO9ujRI3P9PffcY4sWLXrWmIcMGWKdUiK7E8du3bp12T6fO9/bunXrLGAbNGiQ7bO8+uqrFrDdunXL9voHHnjAAvbAgQPWWms3btxow8LC7L333pttv0OHDtkyZcrYa6+9NnNdnz59LGAnTpyYbd/OnTvbWrVqZT7ftWuXBeyQIUPO9BVlc9afV2ttUlLSif/n9awX6yNd9hURKaj2b4QNv3p32b/R6x/jo48+4s8//+TPP/9k+vTp9OnTh7vvvps333wzc59p06ZRtGhRunbtSlpaWubSsGFDypQpc867MU+cBTz1kt0111xD4cKFmT17drb19evXp2bNmtnWTZs2jbZt21KuXLlsMXTq1AmAn3766ZyftWHDhpQvXz7zeZ06dQDnZoJChQqdtn7Dhg0ArFmzhhUrVvCf//wHINv7d+7cmW3btrFy5crM148aNYoLL7yQqKgowsLCCA8PZ/bs2Sxfvjxzn2bNmrF//3569+7N5MmT2b179znjPxdPfG+dO3cmJORk+XLiu7jyyiuz7Xdi/caNzv/RmTNnkpaWxs0335ztfaKiorj00ktP+z9ijDmtT2n9+vUzv/NApsu+IiIFVdFKULmV99/Dy+rUqXPaDR8bNmzgkUce4cYbb6Ro0aLs2LGD/fv3ExERkWMb5ypc9uzZQ1hY2GmX7IwxlClThj179mRbX7Zs2dPa2LFjB1OnTj2tL+L5xgBQvHjxbM9PfJ4zrT9+/HjmewM8/PDDPPzww2d9/5dffpmHHnqIO+64g6eeeor4+HhCQ0N54oknshV/N910E2lpabz33nv06tWLjIwMmjZtyvDhw7n88svP+Vly4onvzd3vqGnTpjm+T9aCEqBQoUJERUVlWxcZGZnZXiBT8SciUlA1+o+zFED169dn5syZrFq1imbNmhEfH0+JEiWYMWNGjvvHxsaetb0SJUqQlpbGrl27shWA1jW8zKkFQ043OcTHx1O/fn2efvrpHN+jXLly5/pYeRYfHw/AoEGD6NmzZ4771KpVC4BPPvmENm3a8Pbbb2fbfujQodNe069fP/r168eRI0f4+eefGTJkCF26dGHVqlVUrlw5szhKTk7O1ifyTIWuL7+3E9/RpEmTqFy5skfaDFQq/kREJOAsXrwYONm5vkuXLnz22Wekp6fTvHnzXLfXrl07nn/+eT755BP++9//Zq7/4osvOHLkCO3atTtnG126dOHbb7+lWrVqFCtWLNcxuKNWrVrUqFGDJUuWMGLEiLPua4zJVqgB/P3338ydO5eKFSvm+JrChQvTqVMnUlJSuOqqq1i6dCmVK1cmISEh8/VZC+SpU6eed+z59b116NCBsLAw/v33X3r16uWRNk98j8eOHfNIe/lFxZ+IiPi1pKSkzCE/9uzZw5dffsmsWbPo0aMHVapUAeD6669n3LhxdO7cmfvvv59mzZoRHh7O5s2b+fHHH+nevTs9evQ443tcfvnldOjQgUcffZSDBw/SsmXLzLt9GzVqxE033XTOOJ988klmzZrFxRdfzH333UetWrU4fvw469ev59tvv2XUqFFUqFDBM19KDt555x06depEhw4d6Nu3L+XLl2fv3r0sX76chQsX8vnnnwNOsfXUU08xZMgQLr30UlauXMmTTz5JlSpVsg2tcuuttxIdHU3Lli0pW7Ys27dv55lnniEuLi6z0OvcuTPFixenf//+PPnkk4SFhTF27Fg2bdp03nHn1/eWkJDAk08+yeOPP87atWszx4vcsWMH8+fPp3DhwplDz5yv2NhYKleuzOTJk2nXrh3FixcnPj4+syj2Vyr+RETEr/Xr1y/zcVxcHFWqVOHll1/mrrvuylwfGhrKlClTeO211/j444955plnCAsLo0KFClx66aVccMEFZ30PYwxff/01Q4cO5YMPPuDpp58mPj6em266iREjRpx2piwnZcuWZcGCBTz11FO88MILbN68mdjYWKpUqZJZaHhT27ZtmT9/Pk8//TQPPPAA+/bto0SJEtStW5drr702c7/HH3+co0ePMnr0aJ5//nnq1q3LqFGj+Oqrr7Ld9NC6dWvGjh3LxIkT2bdvH/Hx8bRq1YqPPvoo84xrkSJFmDFjBg888EBm/8sBAwbQqVOnzKFPziU/v7dBgwZRt25dXnvtNcaPH09ycjJlypShadOm3HHHHXlqc/To0fzf//0f3bp1Izk5mT59+mSOHemvjHWGRPFbxpgBwHvAEWttrubgMcbUA5KSkpKoV6+eV+ITEfGltWvXAlC1alUfRyIi53Kun9elS5eSmJgIkGitXeqtOPx6qBdjTHngRWCrr2MRERERKQj8uvgDRgE/A7N8HYiIiIhIQeC3xZ8x5kbgUuCuc+0rIiIiIufHL4s/Y0wp4FVgoLV2s4/DERERESkw/PVu37eAlcDb59rxBFfBeOpsytU8GZSIiD/y9xv3RMRhrc1xoOv85nfFnzGmF9AVaGRzl9HuAoZ4JyoREf8UEhJCSkqK3/xSEZGcWWtJT08/4zR2+cmvLvsaY2KAkcAbwFZjTFFjTFEgwrW9qDGm8Ble/haQeMrS3etBi4j4UGRkJOnp6ezcuVNnAEX8VFpaGtu2bSM9PZ2YmFyNWucV/nbmLx4oDTzkWk61D5gMXHXqBmvtTmBn1nX6K1hECrrSpUuTnJzM3r17OXDgAKGhocp9In7CWktGRkbmzCmFChXK96n/cuJvxd92oG0O6wfi3PnbCch5tmgRkSAUEhJCpUqV2LFjB8nJyWRkZPg6JBFxMcYQFhZGdHQ0RYoUITY21i/+OPOr4s9aexyYc+p6Y0xfIN1ae9o2EZFgFxISQtmyZX0dhogECL/q8yciIiIi3hUQxZ+1tm9u5/UVERERkdMFRPEnIiIiIp6h4k9EREQkiKj4ExEREQkiKv5EREREgoiKPxEREZEgouJPREREJIio+BMREREJIir+RERERIKIij8RERGRIKLiT0RERCSIqPgTERERCSIq/kRERESCiIo/ERERkSCi4k9EREQkiKj4ExEREQkiKv5EREREgoiKPxEREZEgouJPREREJIio+BMREREJIir+RERERIKIij8RERGRIKLiT0RERCSIqPgTERERCSIq/kRERESCiIo/ERERkSCi4k9EREQkiKj4ExEREQkiKv5EREREgoiKPxEREZEgouJPREREJIio+BMREREJIir+RERERIKIij8RERGRIKLiT0RERCSIqPgTERERCSIq/kRERESCiIo/ERERkSCi4k9EREQkiKj4ExEREQkiKv5EREREgoiKPxEREZEgouJPREREJIjkufgzxrxhjKnlyWBERERExLvcOfN3M7DMGDPLGNPdGGM8FZSIiIiIeIc7xV854F6gLPAVsN4YM9AYE++RyERERETE4/Jc/Flrj1hr37LWJgLtgb+Ap4BNxpixxpgmngpSRERERDzDIzd8WGt/sNb2BKoAvwM3AfOMMfOMMV098R4iIiIi4j6PFH/GmGhjzABgKtAWWA4MA0KBr40xT3jifURERETEPW4Vf8aYasaYl4EtwChgM3CFtTbRWvuktbYJ8BxO30ARERER8TF3hnqZDqwE+gMfAbWstV2ttd+fsutUQDeBiIiIiPiBMDdeWw34L/CBtfbwWfZLwrkULCIiIiI+lufiz1pb8zz3OwT8lNf3ERERERHPceeyb7oxptkZtjU2xqTnPSwRERER8QZ3bvg424weIYB1o20RERER8QJ3h3o5U4HXGDjgZtsiIiIi4mG56vNnjLkfuN/11OKM4Zd8ym7RQClgkvvhiYiIiIgn5faGj53AUtfjBGAtsP+UfZKBf4DX3AlMRERERDwvV8WftXY8MB7AGPMjcKe1doU3AhMRERERz3NnqBeN3SciIiISYHLb568SsM1am+p6fFbW2o15jkxEREREPC63Z/7WAS2A+cB6zj2cS2geYhIRERERL8lt8XcL8G+WxxrLT0RERCSA5PaGjw+zPB7r8WhERERExKvcHeQ5G2NMlDGmtjFGl3tFRERE/JA7c/vea4x5IsvzxsAmnHEAVxljKuahzYbGmG+MMRuNMceMMXuNMXONMTfmNU4REREROcmdM38DyD7A83PAXuC/OPP+Ds5Dm0VxCsjHgM7AzTg3lnxsjMlLeyIiIiKSRZ7H+QMqASsAjDGxwCXA9dbaL40x+4Anc9ugtXYOMOeU1dOMMVWA24DhbsQrIiIiEvTcOfMXCaS6HrdwtfW96/l6oIwbbZ9qN5DmwfZEREREgpI7Z/42Aq1xztR1BxZbaw+6tpUEDp7hdedkjAnBKSaLAdcAHYB7zvGaUq73zapaXmMQERERKYjcKf4+AYYYY64CGgAPZ9nWBFjlRttvAbe7HqcA91lr3znHa+4ChrjxniIiIiIFnjvF39M4l2IvBr4CXs+yLRH4wo22RwDvA6WArsCbxpjC1toXz/Kat4DPT1lXDZjsRhwiIiIiBUqeiz9rrQWePcO2bnmOiMw5gU/MC/ytMQbgGWPMh9baXWd4zU5gZ9Z1rteJiIiIiItHB3n2ovk4hWpVXwciIiIiEsjcueyLa/DlG4DKQPQpm6211lM3XLQFMoC1HmpPREREJCjlufgzxjwKPAMsA5YAye4GY4x5F+cu4fnADiAe527f64AXznTJV0RERETOjztn/m4DRlpr7/VUMMBcoB/QB2e2j8M4heVN1tpPPPg+IiIiIkHJneKvDM5dvh5jrf0A+MCTbYqIiIjISe7c8PEXGkRZREREJKC4U/w9CDxkjGnsqWBERERExLvcuez7AVACmG+M2Q7sOWW7tdY2cKN9EREREfEwd4q/PcBuTwUiIiIiIt7nzgwfbTwYh4iIiIjkg0CZ4UNEREREPMCt4s8YU9IY84wxZq4xZrUxpp5r/e3GmEaeCVFEREREPCXPxZ8xpgrOAMz3ARZn3t1I1+b6rvUiIiIi4kfcOfP3PLAfqAFcApgs234FWrrRtoiIiIh4gTt3+7YD7rTWbjXGhJ6ybRtQzo22RURERMQL3DnzFwXsPcO2wkCGG22LiIiIiBe4U/ytBNqfYdslQJIbbYuIiIiIF7hz2fc94GVjzFZgnGtdhDHmauAu4B53gxMRERERz3JnkOe3jDENgVeAl1yrf8W58eM9a+2H7ocnIiIiIp7kzpk/rLW3GWPGAFcCpXGme5tmrf3dE8GJiIiIiGe5VfwBWGv/AP7wQCwiIiIi4mWa3k1EREQkiOTqzJ8xJgNnNo/zYq09dfw/EREREfGh3F72fZLsxV8/IAaYCmwHygJdgCPAGE8EKCIiIiKek6viz1o79MRjY8xDOAVfe2vt4SzrY4HvgaMeilFEREREPMSdPn93Ac9nLfwArLWHcOb9vcudwERERETE89wp/soDaWfYlgaUcaNtEREREfECd4q/5cCDxpjwrCuNMRHAQ8AKdwITEREREc9zZ5y/wcDXwFpjzJc4/f/KAD1d/17lbnAiIiIi4lnuTO/2jTGmI/A0cDfOWUQLzAf6WWu/90yIIiIiIuIp7k7vNhuYbYwpBBQD9llrdZeviIiIiJ9ye3o3AFfBp6JPRERExM9pejcRERGRIKLiT0RERCSIqPgTERERCSIq/kRERESCSJ6LP2OMZvAQERERCTDunPnbaIwZb4xp6bFoRERERMSr3Cn+hgOtgZ+NMYuNMf2NMdEeiktEREREvCDPxZ+19kmgMtAbOAi8B2w2xrxojKnmofhERERExIPcuuHDWpturZ1orb0EaAh8AdwBrDTGTDPGdPBAjCIiIiLiIZ682/cfYDqQ5Gq3HfCtMWaBMaamB99HRERERPLI7eLPGBNvjBkErAMmAWnAdUAR4CogFhjr7vuIiIiIiPvyPLevMaY5cDdwDWCACcBr1tqFWXabaoxJA752J0gRERER8Yw8F3/AXGA78CzwtrV25xn2Ww/87sb7iIiIiIiHuFP83QxMsNamnm0na+1yoK0b7yMiIiIiHuJOn7+qQMmcNhhjyhpj/udG2yIiIiLiBe4Uf0OACmfYVs61XURERET8iDvFnznLthjgrJeDRURERCT/5arPnzGmPs5gzid0NsbUPmW3aOA/wL/uhSYiIiIinpbbGz56cPJyrgXO1K/vGNAvr0GJiIiIiHfktvh7F5iGc8l3Pk6Bl3TKPsnAv9baY+6HJyIiIiKelKviz1q7DdgGYIxpCyy01h7yRmAiIiIi4nl5HufPWvuTJwMREREREe/L7Q0fY4CnrLXrXI/Pxlpr++c9NBERERHxtNye+WsLvOZ6fBnOTR9ncrZtIiIiIuIDue3zVyXL4wSPRyMiIiIiXuXOIM8iIiIiEmBU/ImIiIgEkdze8LGO8+/LZ6211XIfkoiIiIh4S25v+PgJ3cghIiIiErBye8NHXy/FISIiIiL5QH3+RERERIJIbvv8VQK2WWtTXY/Pylq7Mc+RiYiIiIjH5bbP3zqgBTAfWM+5+/+F5iEmEREREfGS3BZ/twD/Znmsmz9EREREAkhub/j4MMvjsR6PRkRERES8yiM3fBhHrDHGeKI9EREREfEOt4o/Y0xzY8xM4CiwHzhqjJlpjLkoj+1dZowZY4xZYYw5YozZYoyZbIxp7E6cIiIiIuLIbZ+/TMaYy4DpwCHgM2A7UAboCvxkjOlsrZ2dy2bvBEoArwHLgJLAQ8AfxpgO1tof8hqviIiIiLhR/AHPAYuA9tbawydWGmNigdnAs0DTXLZ5t7V2Z9YVxpgZwBrgMUDFn4iIiIgb3Lnsmwg8n7XwA7DWHsIpDBNz2+CphZ9r3WGcs4AV8xiniIiIiLi4c+ZvJ5Bxhm3pwC432s5kjIkDLkRn/cSDth84zuZ9R9l9OJldh1PYfSiZQ8fTiIsOJz42gviYSOJjIqlUvBAlYyN9Ha6IBAjlFgkE7hR/7wD/NcZ8Y61NPbHSGBMBPAi8625wLiOBwsDTZ9vJGFMKp49gVtU8FIMEuIPHU5n77x5+Xb2bX9fsZt3uI+f92pqlY2hVvSSta8TTvGpxCkW482MjIgWJcosEotxO7/ZglqcpQAKw1hjzJSdv+OiJc+bvmLvBGWOeAv4D3Gut/escu98FDHH3PaXgyMiw/LRqF2N+W8fv/+4hPePsY5IXigjlaEr6aetX7TjMqh2HGfPbOsJDDZfWLEX/VlW4qGpxNLqRSPBRbpFAZ6w9/0k6jDFnusybE2utzfP0bsaYIcBQ4HFr7Yjz2P9MZ/4mJyUlUa9evbyGIgHmeGo6Xy3awuhf17FmZ7YuqUSEhtAkoRitasRTp2wRSrouwRQvHEFEWAjJaensOZziXLI5lEzSloP8umYXizbuJ+2UBJ9YvggDWlXlyvplCQ/1yJCZIuLHlFvE25YuXUpiYiJAorV2qbfeJ7fFX+XcNG6t3ZDriMhW+A211g7LSxuuduoBSSr+gkNaegYf/7GBN39Yw54jKZnrC0eE0qtxBdrVKU2zhOJER+T+b5JDx1OZt3Yvs5bt4OvFW0hOO/l3UJkiUTx4RU2uaVxBf62LFEDKLZJf/LL4yw/GmCeAJ4Hh1ton3GxLxV+QWLJpP49//Q9JWw5mrisXF0Xflglc36wSRaLCPfZeew4nM27eRj6au57dh0/+ImiWUJzhPRKpWTrWY+8lIr6l3CL5KSiLP2PMQ8CLwAzgtDN+1to/ctmeir8C7sCxVF6cuZJP5m3gxH/lyiUK8eDlNel8gXcvmRxPTWfy4i28PGsVOw4mAxAWYrj1kqrcd1mNPJ0FEBH/oNwivhAQxZ8x5hLgPqAOEH3KZmutzdXdtsaYOcClZ9purc3VeW8VfwXb7//u5v7PFrPrkJMcw0MNd15ajbvaVicqPP+S46Hjqbw8axUf/r6eE113KhaPZuQNF1K/QtF8i0NEPEO5RXzF74s/Y0wr4EdgDtAO52xdLNACWAv8Zq3t55kw80bFX8FkreXdn9fy3IwVmQmxRdUSPHVVItVLxfgsrqQtB3j8q39YsvkA4HQAf7J7Pa5vVslnMYnI+VNuEV8LhOJvNvAvzny8qUATa+1CY0x9nELwdmvtVI9FmrcYVfwVMIeOp/J/n//NjKXbAYgMC2FYt3pc17SiX3SITs+wjPl1Hc/OWJE5/MN1TSoyrHu9fD1jICK5o9wi/iC/ij93p3f7CjhRPYYCWGv/Bp4C/udeaCLZrd5xiO4jf8tMzhWLR/PFnRdzfbNKfpGcAUJd/XI+HdCc+Bhn9P4JCzZxzai5bNp71MfRiUhOlFsk2LhT/BUCDltrM4BkID7LthVAXXcCE8nqz/V76fnW76zd5Yye36ZWSabe04rE8nE+jixnzauW4Jv7WtGkcjEA/tlygB5v/c7ybQfP8UoRyU/KLRKM3Cn+NgKlXY+XAVdm2XYpsMeNtkUyzVm5k5tGz+NQchoA97WrwZg+TSlaKMLHkZ1d6SJRfHrrRfS9OAGA3YeTue6duSzcuM+3gYkIoNwiwcud4m8O0Mb1+D3gLmPMbGPMt8BgYLx7oYnAN39v49aPFnA8NYMQAy9d04AHL69JSIh/XIo5l4iwEIZ2q8fgK+sAcPB4Gje+P49fV+/2cWQiwU25RYKZO8XfEOB1AGvtKOBhoChQChiOUwCK5NnEPzdx7/iFpKZbIkJDeOs/jenVuIKvw8qTAa2r8lyvCwgxcDQlnVvG/smMpO2+DkskKCm3SLDLc/Fnrd1trV2V5fnL1trG1tom1tqh1tpUz4Qowejjuet55Iu/ybAQHR7KmL5N6ZhYxtdhueW6ppV4o/eFhIcaUtIzuPvThUxZstXXYYkEFeUWEffO/GUyxpQzxlxgjCnnifYkuH29aAtPTHbucC8SFcYnA5rTqkb8OV4VGK6sX5b3bm5CVHgI6RmWBycsZs7Knb4OSyQoKLeIONwq/owxPY0xK4FNwGJgkzFmlTHmak8EJ8HnxxU7efjzJQDERIbx6a0X0dh1V1tB0aZWKcb0aUpEaAhpGZY7PvmLvzbs9XVYIgWacovISXku/owx1wGTgHTgSeAunPH90oEJru0i5+3P9Xu545O/SMuwRISF8H6fJn473IK7Lq4ez+u9GxFi4HhqBv0++JMV2zVUg4g3KLcot0h27pz5+x8wHWcU6mHW2nestUOBesB3aJBnyYXl2w5yy9g/SU7LIDTEMPKGC7moaglfh+VVHRPL8GzP+oBzp97No+ezcY8GaxXxJOUW5RY5nTvFXzXgLdcgz5lcz99ybRc5p017j3LzmPkcOu6MtfVcr/pcXrf0OV5VMFzbtCKPda4NwM5Dydw0Zh57Dif7OCqRgkG5RblFcuZO8bcBZ5aPnBTC6QcoclZHktO49aMF7DrkJKXBV9bh6gAdciGvbrukGndc6vyttGHPUe4ct5CUtIxzvEpEzka5RblFzsyd4u8l4H/GmGy3ShljSuGM8feiO4FJwZeRYXlw4mJWbD8EQL+WCQxoXdXHUfnGox1r0b2hc7P8/HV7GTbVa/N5ixR4yi0nKbdITsJys7Mx5vVTVhUB1htjZgPbgTJAO2A3mttXzuG12auZuXQHAK1rxPN45zo+jsh3jDE816s+63cfYcnmA4ybt5HaZYtw00WVfR2aSMBRbjlJuUVyktszf/ecslTEucTbFbjV9W8hoJJru0iOvv1nG6/NXg1AlfjCvNn7QsJCPTLsZMCKCg/lnZuaUCo2EoBhU5by+7+aqkkkN5RbTqfcIqfK1U+EtTYkF0uot4KWwLZ06wEemuiMtxUbFcZ7NzchrlC4j6PyD2Xionj35iZEhDnjdN09bqHu0hM5T8otZ6bcIlkF959Dku/2H03hto/+4lhqOiEGXu/diOqlYnwdll9pWLEoz/W6AIB9R1O57eMFHE9N93FUIv5NueXclFvkBLeLP2NMO2PMCGPMO8aYp40xl3kiMCl4rLU8/PnfbNl/DICBnWrTtlYpH0fln3o0qsDtlzgd1FdsP6RO2iJnodxy/pRbBNyb4SPCGDMVZ0DngUA/YBAwyxgzxRijc+2SzZjf1vP9cqcTdod6pbk1SO++O1//16EWzRKKAzB+/iYmL97i44hE/JNyS+4ot4i7M3x0wCn8SltrI4DSwKOu9ZrhQzIt3rSfZ6cvB6BCsWie79UAY4yPo/JvYaEhvN67EcULRwDw2Jf/sHbXYR9HJeJflFtyT7lF3Cn+egMjrLUvWGt3AVhrd1lrXwSeAf7jiQAl8B04lso9ny4kNd0SFmJ4o3cjdcI+T2Xionj52gYAHElJ5+5PF6mPjoiLckveKbcEN3eKvwrAL2fY9gtQ3o22pYCw1vLIpCVs3neyL06jSsV8HFVgaVOrVOYo/cu3HeTJact8HJGI7ym3uE+5JXi5U/ztAi44w7YLXNslyH38x4bMwVbb1ylF/1ZVfBxRYHroipo0ruz8Yvt03kam/b3VxxGJ+JZyi2cotwQnd4q/KcCTxpieWVcaY7oDQ4HJbrQtBcCanYd5+hunL065uChevCaI+uJYC+mpkHwYju6FQ9vh2D7IyNtllfDQEN7o3Yiirktaj3+VxPYDxz0ZsUjA8GhuSU87+TN6dC+kHHHWBQnlluCUq+ndTvE40BL43BhzBGd6t9JADPCPa7sEqdT0DB6cuJjktAyMgVeua0jRQhG+Dst7/hoLq2bCgc3OcmwfYHPeNyIGImMhuhgUrQTFEqBYFSheBeJrOs9z+EVWrmg0z/a8gDs+WciBY6n836QlfHRLs+ApqEXIQ26xFlZOh33rYN962LsO9m+E4wcg+SCknmGgYxMChUpAkfIQV+HkUjoRyjV0fn4LCOWW4JPn4s9au88Y0wzoC7QFSgALgdnAR9baZI9EKAHpjR/W8PfmAwDc2roqzauW8HFEXrY9CVZ+e377phx2lkPbYGcOfWyii0P5C6F8Y2ep2ByiiwLQMbEsPS8sz5cLt/DL6t18/McGbm6R4LGPIeLvcp1bjIEp98DRPbl7I5sBR3Y5y7bFp28vXhXKNYIKTaH65RBfPXft+xnlluCSp+LPGBMNfA8Msda+A7zj0agkoC3etJ+RP64BoFbpWB68vKaPI8oH8TWgZB3X2YHyUCgewqIgLAJCIyE0HNKOw/GDkHzIOeNwdM/JMxFpx062dWwvrPneWQBMKFRsBm0fhyqtGdqtHvPW7mXL/mOM+HY5LavHU62kZjKQgi/PuaVYgvPzFhHjnGUvVhkKFYfIIq4l1vlZTU+FtGRIT3F+Xo/scp3N3+L8m3rkZJt71zpL0hfAQHjgH+dMfgBTbgkeeSr+rLXHjDEXAMHTMULOy7GUdB6csJj0DEt4qOGV6xoSFR4E0zw3v91Z8sJaOLzD+UWyPQm2/OUse1a7tqfDxrlOAQkUiQrnxWsacMP7f3A8NYMHJy7hiztaBP3k9VKwuZVber7nFHmF43PsUnFerHWKwa2LYesi17LQ+dktWTvgCz9Qbgkm7vT5mws0A+Z4JhQpCJ6Zvpy1u52/jh+8vBZ1yxXxcUQBwBiILeMslS8+uf7Yfti8AP79ATbNg/JNMje1qFaC/i2r8P6v61iyaT8jf/yX+9vXyP/YRfKJW7mlRDX3AzAGYkpBzSucBZyCcNdKOLrb/fb9hHJLcHCnnH8IuN0Yc7MxRueFhd/W7OajuRsAaJpQjNsu0RRLbokuCjXaQ8cRcOtsCM3+t9rDHWpRs7Tzo/f6D6tJ2nLAB0GKeJ/f5hZjoFRtSGjl60g8Srml4HOn+JuLM9DzB8ABY8whY8zBLIv+twSRoylpPPrF3wAUigjlpWsaEhqiO8W8KSo8lJevbUhYiCE9w/LIpL9JTc/wdVgiHqXckv+UWwo+d4q/L4BPgY9cyyTXuhPLl25HJwHjhZkrM0faf7RjbSqVKOTjiIJDYvk47mrjXNJatu0g7/681scRiXiWcotvKLcUbO4M9dLXg3FIAPtrw17G/r4ecC7J3HRRZd8GFGTuvqw605O2s3rnYV77fjUd6pWmeqlYX4clcn5SjkBYNIScfi5CucW3lFsKrlyf+TPGRBtjehtjBhpjbjHGlPRGYBIYjqem88ikv7EWIsJCeLZXfUL87ZLMyhkw9QGnc3YBFBkWyvNX18cYSEnP4JFJf5OeUTA/qxQgyYfgl5fh1Qtg1fTTNgdEbinglFsKrlwVf8aYcjizd3wCjADeB1YZYy7yQmwSAN74YTX/7nLuwHugfQ3/GhPq8E74vC+Mvw7++uDkuHkFUKNKxbilpTO36cKN+/nQdbZExO8c2w8/PQ+vJMLsYc74ez89d9ofZ36dW4KIckvBlNszf8OB8q5/rwQeAFKAtz0blgSCpC0HGPWT0w8ksXwRbmvtJ3fgWQtLJsDIZrD0K2ddVJwznVMB9vAVtahU3OkP9cLMlWzcc4Zpq0R8Ifkw/PwivFoffnwaju931peqCy3vz1b8+W1uCVLKLQVPbou/y4ER1toh1trp1trXgVuA+saY0p4PT/xVWnoGj37hXAIICzE836uBfwwEemALjLsGvrrNNb8uUKcb3P0nXHC1b2PzsuiIUJ7tdQEAx1LTeeyrf7Dne6l7+VRY+FFQTWgv+SQtGf4YBa83hB+egmTXH2Fl6sN1n8Adv0Fir8w+f36bW4KYW7lF/FJuf6LKAD+fsm4OYAAVf0Fk7O/rWbr1IAB3tqnmH4M5r/gGRrWENbOc54VLwbUfwXUfQ2xw/Pe8uFo8vZs5Mw38umY3kxdvPfeL0lJg5mMw5V54q7lztlSJXdyVkQ6LPoHXL4QZjzqzYwCUToTrx8PtP0Odrqfd6OGXucWXNs2Hdb/4Ooq85RbxW7kt/kKBY6esO+76153ZQiSAbN1/jJdnrQKgSnxh7m7r4wnNU4/Dt/8Hn91w8mxfg95w9zyo2923sfnAwE61iY+JBGD4N8vYfzTl7C/Yt875RQ2wZ43TT/L99rDhd+8GKgWTtbB6FoxqBZPvhoObnfXFq0Kv0XD7L1C7c47TrPldbvG1Y/tg0i3wYVf44Wmfn5nPdW4Rv5WXc+m1jDEXnliAC13ra2dd79omBdCQKUs5muIUC091T/Tt3L27VjmFyvx3neeRReDqD6DHKGfi9iAUFx3OE13qALD7cArPzVhx9heUrAX3LoQOI6BQCWfdlgXwQScY39uZvkrkfGxdBB91g3FXw85lzrrYstD1Nbh7vtP1IochXU7wq9ziD7YugiO7AQs/Pw8fdoH9m3wWTq5zi/itvBR/Y4E/syx/uNZ/nGXdAte/UsB8t3Q7s5btAKBHo/K0qhHvu2CSvoR3L4Ud/zjPyzeBO36BxJ6+i8lPdGtQjtauYzN+/iYWrN979heER0GLu+G+RdD6IQiLctav/BbeagHTHnT9EhLJwYEt8OXt8G4bWOfqGRQRC+3+5/xh0bgvhIaftQm/yi3+otplcNsc56YYgI1znTOqa2b7LKRc5xbxSyY3nTaNMX1y07i19sNcR+RBxph6QFJSUhL16tXzZSgFwpHkNC5/+Se2HjhOXHQ4sx+6NPMSQL7KSIcfhsOvL7tWGGj1ALR9/Jy/YILJhj1HuOKVn0lOy6BW6Vim3deK8PPtOH9gC/w4AhaPA1w5IrIIXPIwNL8Dwnxw3MX/JB+G316D39+ANFePoJAwaNIfLn0ECp9fAec3ucVfpR5z+uUuGOM8NyFw+ZPQ4p4cL597m1u5Rc5q6dKlJCYmAiRaa5d6631y1U/P18Wc+NYrs1ax9YDTxTNr3498dfwAfHErrJ7pPI+Mg6tHQ43L8z8WP1e5RGHuvaw6L363ipU7DvH+L+u40zVd0znFlYerRkKLu2Dm47D2R0g+CLP+B3+OhsuHQd2rfPKLR/xARgYs+RRmPwWHt59cX6crtB8GJc7z/5mLX+QWfxYeDV1egcotYfI9TqH93WDY/o9zST08Ol/DcSu3iF9QqS7nJWnLAcb8tg6AJpWLcV2TivkfxO7V8F67k4VffC247UcVfmdx2yXVqF7KGRz3tdmr2LQ3l+Nzla4HN30FN3wO8TWddfs3ODeFfNDJ6ZMkwWX9b053i8l3nyz8yjaEvt86Q7fksvDzi9wSKC64GvrPhDjXd/T3BBjTEQ5szvdQ3M4t4lMq/uScMjIsT0xOIsNCWIjh6R4X5P80S+t/hffbwZ7VzvOanWDA97n+RRNsIsJCePqqRACOp2YwbGoeriIYAzWvgDt/h84vQrTrRpqNc+HdtvD13XBo+9nbkMCXngYT+8DYzrD9b2ddbFm4ahTc+iMktMx1k36RWwJN2QZOP8DKru9722J47zLYtiRfw/BIbhGfUfEn5zTpr80s2rgfgP6tqlCrTD5P7J30BXzc4+QMHZf8H1z/KUQF+fhf56l51RJc3bgCAN8v38n3rk71uRYaDs1udW4KaXEPhIQDFha7xnL7+UWnb5IUTKFhJ/vUhkXDpQPh3r+gYe+z3sF7Nj7PLYGqcDzcPBma3uo8P7wDPuic71NYeiy3SL5T8Sdntf9oCs+6bucvUySK+9rVyL83txZ+e90Z5yo9xSk2erwLlw3O8y+bYDWwU21io5wuvsOmLeV4anreG4suCh2edsZRrNXZWZd6xJm94c2mTrGuQaILpvZDocENcO8CaDsIIgrnuSmf5paCIDQcrnwROj4LGEg5DOOudQbWzkcezS2Sb/QbVM7qxe9WsveIM5DnE13qUjgyn8byzkiH6Y/CrCec55FF4MZJ0OC6/Hn/AiY+JpL/61ALgE17j/H2nH/db7RENeg9Hm76+uRQFAc2OcX6mI6w5S/330P8S1wF6PG286+bfJZbCpqL7oRrP3SGZ7LpTl/MOc/m2x9gXskt4nUq/uSM/tl8gHHzNgLQqno8nS8ok39vvuxrmP+O8zi2HPSbDlXb5N/7F0D/aV6Zeq6pst7+6V827DnimYartXVmbejyyslBojf94fRDWvixZ95DChSf5paCqG535zJwdDHn+ZxnYNp/nbuy84HXcot4jYo/yVFGhmXw5CSshfBQw9Bu9TD5OaxHvZ7OeHKl6jo3dpRJzL/3LqBCQwxPdne+x5S0DIZOWeq5ydlDw6DJLU5/wIvvdS7RR8RAzQ6eaV8KDJ/nloKq0kXQfxYUrew8/+sD+Or2fJkSzqu5RbxCxZ/kaOKCTSzZtB+AAa2rZt7Sn2+MgQ7PQP/vnDHnxCMaVy7GNa4O2j+u3MX3y3d69g2i4uCK4U5/wB6jIKaUZ9uXgOfz3FKQxddwcmZJZwo2/pkIn/eBtGSvv7XXc4t4lIo/Oc3+oyfnbCwXF8W9l/locvWQEIjU3X+e9min2hQ50UF7qpc6aJeo5gz4K5KF3+SWgiy2DPT9xhl7EWDFNPj0Okjx/qXYfMkt4hEq/uQ0L323in1HUwEY3KUuhSLUEbsgydpBe/O+Y4z6SR20JX8ot+STwiWgzxSo1MJ5vvZH+LgnHD/o1bdVbgkcKv4km2VbDzJu3gbA6YjdKVEdsQuiG5pXpk5ZVwftOf+yeZ9G5xfvUm7JZ1FxcOOXUO0y5/mmP2DCjV6/C1i5JTCo+JNM1lqGTlmaOdr+kK511RG7gAoNMQzrVg+A5LQMnv5muY8jkoJMucVHIgpB78+cGZHCoqH1g16fj1u5JTCo+JNMU5ZsZf76vQD0uTiBGqXV364ga1alON0blgNgetJ2fluz28cRSUGl3OJDYZHOOIC35N9wWcot/k/FnwBwJDmNZ751OmLHx0Rwf3uNth8MBnWqQ6GIUACGTllKanr+jAsmXrR5ASQf9nUUmZRb/EBYJJRrlK9vqdzi31T8CQAjf1zD9oPHAXikY22KRIX7OCLJD2XiorjHdcfl6p2H+XjuBh9HJHliLaz9CT7sBu+3g7/G+jqiTMotwUm5xb+p+BPW7z7C+7+sA6BBxaJcfaH7UzdJ4OjfqgpV4p05Wl/5fhW7D3t/TDDxkLQUWDweRrWGj7rBup+c9fPeybfZHc5GuSW4Kbf4LxV/wlPTlpHiOiU/rFs9QkLUETuYRIaF8r8uzty8h46n8bxrHDa/dnQvHNvn6yh85/Au+PkFeDURvr4DdvzjrA+Lhovugv4znXEyfUy5JbgFZG4JEr7PDuJTc1buZPYKZyT2axpXoGHFor4NSHyibe1SXFbbmY3j87828/fm/b4N6Fx+eQleqg1f3QEb/8i3Sex9KiMD1s6Bz/vCy3Xgh+FweIezLaY0XDYY/rsUOj4DRcr5MlJAuUUcAZdbgoSKvyCWkpbBk9OWARATGcYjHWv7OCLxpSe61CU81GAtDJu6zH/n5jx+EP76ENKOw5LxMKYDvHURzB0Jh7b7OjrP27/RKXbfuBA+6g5Lv4IMZ6BkSl8AV42CB/6BS/7PGdzXDyi3SFYBk1uCiIq/IPbR3PWs3eVM+XNfu+qUjI30cUTiS1XiC3NLyyoA/LVhH5MXb/VxRGcQEQPXfQR1u0OIa4aIXStg5mPO2cCxXZwbHo7u9WmYbjm0w+m39/7l8OoFMPtJ2Of0nSMsCupfD/2mwx2/QMPezt2cfkS5RbIKmNwSRPxubh1jTCzwBNAQaATEA8OstUN9GFaBs/twMq99vxqAqvGF6XtxFR9HJP7gnsuq88XCLew+nMwz05dzed3SFI70szQREuLMWlDtMji8ExZ/Cgs/hL1rAQvrf3GWbx6ChNZQswPUuMKZb9hfWQs7l8Pq75xl41ywp9ywUaouNO4L9a+F6GI+CfN8KLdITgIitwQRf/zmSwC3AUuAr4EBPo2mgHpx5koOJacBzin5iDCdBBaIjQrn0Y61+L9Jf7PjYDJvzVnD/3Xw40t2MaWg1QPQ8n7Y8hckfQFJX8Lh7ZCR5sxpuvZHmDEQild1isDKF0PFiyC2tG9jP7DZ6a+44TdYPQsObDp9n6KVILGXs5RO9PrsDJ6g3CI5CbjcUsD5Y/G3AShmrbXGmHhU/HncP5sPMGGB84umba2StHV1xhUB6HVhBT6Zt5Elm/bz3i/ruK5JJSqVKOTrsM7OGKjQxFmuGA4bfnf6xq2aCQc3O/vsXQvzRjkLQLEEpwis0ARK1naWmJL5E++xffBKvZy3Fa8KNTtCvR5QoWlAFHwnKLfI2QRkbimg/K74s+oJ6lXWWoZNXYq1EB5qeMJ1G77HbPgdCsVDyZqebVfyTUiIYWjXuvR463dS0jIY/s0y3r25ia/DOn8hoVCltbNku5w6y5ncPsM5K8W+9c7y92cnX1uohFMEthnkvN5bootBfC3YvRJCI52zkYFwefosvJ5bJOAFfG4pQPyu+MsrY0wp4NQ/2wMzi3rRlCVbWbDBGR+tX8sqVC0Z47nGtyfBp9c5nfD/87lzRkUCUqNKxeh5YXm+XLiF75bt4NfVu2lVI97XYeWeMVC6rrO0egBSjsLWhc7l1k3zYdM8OL7/5P5H9ziXYVOPej+2jiMgIhbKNfS7Gzbywqu5RQqMApNbAlyBKf6Au4Ahvg7Cnx1NyT7H5ompdzziwGYYdw0kH3Se712n4i/APdqxNjOTtnMkJZ1hU5cy/f7WhIUGeP+tiEKQ0MpZwDkzeGCzc7fwzuWwa6VzNi6uovdjqd7e+++RT7yaW6TAKZC5JcAUpG/7LSDxlKW7TyPyM2/P+ffkHJsdPDjH5rH9TuF3yHX7/uVPQf1rPNO2+EzpIlHcnWVuzk/+KIBzcxoDRStCjcuh5X1w1UgY8L1zplDOm9dyixRIQZFb/FyBKf6stTuttUuzLsC/vo7LX2zae5R3fl4LQP0KcVzd2ENzbKalwIQbYaczoCvNboeL7/VM2+Jz/VtVobKrQ/bLs1ax90iKjyMSf+O13CIFmnKLbxWY4k/O7ulvlpOS5owbNqSrh+bYzMiAyXc7Y6oB1O7iTC0VQHcnytlFhoUy+ErnLNjB42m89N1KH0ck/sYruUUKPOUW31LxFwR+X7ObGUudaa96NCpP48oeGiD2h6fgn4nO4wrNoNf7zp2WUqC0r1OK1q4O2ePnb2TZ1oM+jkj8hddyi/iv+e/BH297pCnlFt/xy+LPGNPJGHM10NW1qq4x5mrXokGBciEtPYNhU51LsoUiQhnYyUODav41Fn592Xlcojr0/gzCoz3TtvgVYwz/61KX0BBDhoWhU5dqbk7xXm4R//XrK/DtwzBjECyf6nZzyi2+45fFH/A28DkwxvX8GtfzzwGNGpoL4+ZtZOWOQwDc3bY6pYtEud/omtkw7UHncaF4+M8kv5lQXryjRulYbm5RGYD56/byzT/bfByR+JpXcov4t+rtnbm1sfDFrbD5L7ebVG7xDb8s/qy1CdZac4Zlva/jCxT7jqTw8qxVAFQqXoj+rTwwx+aOpTCxD9h0Z4L53p9Bcc3dGQweaF+T4oUjABjxzXKOpaT7OCLxFa/kFvF/ZS6Aa8aCCYG0YzD+Otjn/p26yi35zy+LP/GMF79byYFjqQAMvrIOUeFu9sc7uA3GXQspzl/79HgHKjZ1M0oJFHHR4Tx8RS0Ath44zts/6Wb6YOXx3CKBo8bl0PkF5/GRXc4wX8f2u9Wkckv+U/FXQCVtOcCn8zcC0LpGPJfXdXMS++TDzl95J+ZJbT8M6l3lXpsScK5rWpHE8kUAGPXTv2zamw8zYYhf8XhukcDTdAC0uMd5vHslTLzJGfbLDcot+UvFXwFkrWXoFGeOzbAQw5Cu9TDuDL+SkQ5fDIBtS5znjftCy/s9EqsEltAQw9Cu9QAy5+aU4OHx3CKB6/KnoI7rnsx1P8O0/zoz5uSRckv+UvFXAE1enHWOzQSql3Jzjs3vnoBV053H1dpB55c0ll8Qa5JQnB6NygMwc+kOflm9y8cRSX7xeG6RwBUSAj3ehfKNneeLP4HfXnWrSeWW/KPir4A5nJzGiG+XAxAfE8l97Wq41+Cf78MfI53Hpeo6nX1DC9KU0JIXAzvVpnCE089r2NRlpKZn+Dgi8TaP5xYJfBGF4PrxJ+fC/n4oLP3arSaVW/KHir8C5s0f1rDzUDLg/BDFujPH5prv4dtHnMeFS8ENEyCqiAeilEBXukgU97p++a/ZeZgPf1/v24DE6zyaW6TgiC0NN0yEiFjn+Ve3uzUEjHJL/lDxV4Cs3XWY0b86c2w2qlSUnq7T53myYxlM7Jt9SJeilTwTqBQIt7SsQtX4wgC89v1qdrkKAyl4PJpbpOApXReuHQsmFNKOw/jrYf/GPDen3OJ9Kv4KCGstT05bRmq6xRgY6s4cm4d3wqfXZR/SpUJjzwUrBUJEWAhPdHXm5jyUnMZzM1b4OCLxBo/mFim4qreHzs87j4+4foccz9t0bcot3qfir4CYtWwHc1Y6nWOvbVyRBhWL5q2h1GMwvjcccP3V1m6IhnSRM2pbqxTt6ziT7kz6azN/bdjr44jE0zyWW6TgazoALrrbebxzGUy6BdLT8tSUcot3qfgrAI6lpGfOsVkkKoxHOtbKe2Pbk5wfWoCG/4FW//VAhFKQ/a9LPSLCnFTyxNdLSVMH7QLDo7lFgsMVT0Gtzs7jNbNg5qA8N6Xc4j0q/gqAt+asYcv+YwD8X8falIiJzHtjFZtCv+mQeDV0eVVDusg5VSpRiLvaVANg2baDjJuX974+4l88mlskOISEQs/3nKngAOa/C/PeyVNTyi3eo+IvwK3bfYR3fnI6YieWL8INzTxwU0a5hnD1aAiLcL8tCQp3XFqNSsULAc7UX+qgHfi8klskOETGQO8JEFPGeT5jIKz6Lk9NKbd4h4q/AGatZciUpaS4ToU/1T2RUHXEFh+ICg9laDdXB+3jaTw7XR20A5lyi7gtrjzc8BmERYPNgEn9nG5FuaTc4h0q/gLYzKU7+HmV0xH7+qYVaVSpmI8jkmB2We3StK/jzPP6xcLN/LleHbQDlXKLeES5RtDrPcBAymHnDuBD23PdjHKL56n4C1DHUtJ5aprTETsuOpxHOtb2cUQiMKRrXSIzO2gnqYN2AFJuEY+q0xXaD3UeH9zsjAGYcjTXzSi3eJaKvwD1+g+rMztiP9KxFsULq3+e+F7F4oW4u211AFZsP8RYjc4fcJRbxONa3g+NbnIem1BnSLFcUm7xLBV/AWjl9kO897PTEbtBhTiub6qO2OI/brukKgklnA7aL89axdb9uU/04hvKLeIVxkCXV+CyJ6DvNChcIk/NKLd4joq/AJORYXn8q39Iy7CEGHi6xwXqiC1+JSo8lOFXOcM8HE1JZ+iUpT6OSM6Hcot4VWg4XPIwhEfnuQnlFs9R8RdgJi7YxIIN+wDo17IKieXjfByRyOla1YjnqoblAPhu2Q5mLdvh44jkXJRbJBAot3iGir8AsvtwMs+4bnMvGxfFg5fX9HFEImf2+JV1KRIVBsCQyUkcSc7bNE/ifcotEkiUW9yn4i+APP3Ncg4cSwVgaLd6FI4M83FEImdWMjaSgZ3qALD1wHFembXKxxHJmSi3SCBRbnGfir8A8dua3Xy1aAsA7euUpkO9Mj6OSOTcrm9akcaVnTHiPvh9PUu3HvBxRHIq5RYJRMot7lHxFwCOp6Yz+GtnZPRCEaEM617PxxGJnJ+QEMPTPRIJCzGkZ1ge+yqJ9Azr67DERblFApVyi3tU/AWA12avZt3uIwD8t31NyhfN+91SIvmtdpki9G9dBYAlm/bzwW/rfByRnKDcIoFMuSXvVPz5uaQtB3jXNe7WBeXj6NcywbcBieTBA+1qZo7P9eJ3K9mw54iPIxLlFikIlFvyRsWfH0tNz+D/Jv1NeoYlLMTw/NX1CQvVIZPAEx0RyjM96wNwPDWDgV/8g7W6ROMryi1SUCi35I1+2v3YOz/9y/JtBwG4q0016pQt4uOIRPKuRbUS3NDcmTFi7to9fPbnJh9HFLyUW6QgUW7JPRV/fmr1jkO8PnsNADVKxXD3ZdV9HJGI+wZ1qk3ZuCgARnyznG0HND1TflNukYJIuSV3VPz5ofQMyyNf/E1KegYhBp6/uj6RYaHnfuHuNfDzC6BT3uKnYqPCGdHDmZ7pUHIag79K0iWafJTn3CLi55RbckfFnx8a+/t6Fm3cD8AtLavQqFKxc7/o4Db4pAf8MBy+vksFoPittrVL0aNReQBmr9jJ5MVbfRxR8MhTbhEJEMot50/Fn59Zs/MQz89wplmqXKIQD11R69wvOrYPPukJ+zc6z4tVBqMJ2cV//a9LXeJjIpzHk5PYfuC4jyMq+PKUW0QCjHLL+VHx50dS0zP474QlJKdlYAw836s+0RHnuCSTchQ+vR52LnOeN+kPlz7q/WBF3FCscATDr3Iu0Rw8nsb/TVpChgZo9Zo85RaRAKTccn5U/PmRN2av5p8tzhQ1t7WuSvOqJc7+gvRU+LwvbPrDeV73Kuj8gs76SUDomFiGXhdWAOCX1bv5+I8NPo6o4Mp1bhEJYMot56biz08s2riPkXP+BaB2mVgevKLm2V+QkQFT7oXVM53nVS6Fnu9CiP6al8AxpFvdzFklnpm+nH93HfZxRAVPrnOLiL9LPfedvMotZ6fizw8cTUnjwYlLSM+wRISG8Mp1Dc9+B561MPMxWDLeeV62IVw/DsIi8yVeEU8pEhXOS9c2wBhngNYHJywmNT3D12EVGLnOLSL+7tB2eL89/PLSWXdTbjk7FX9+YMS3yzPn13zwiprnHnD1h+Ew723ncfFqcOMXEBnr5ShFvOOiqiUY0Mo1P+fmA7z5wxofR1Rw5Dq3iPgza+HzfrAjCWY/CX+MOuvuyi1npuLPx35YsYNP/nDu0m2WUJxbW1c9+wt+eQl+edF5HFcJ+kyBwvFejlLEux66oha1Sjt/wLz54xr+2rDPxxEFvlznFhF/Zwx0fRUKufqszngUFn501pcot+RMxZ8PbTtwjIcmLgGgcEQoL13bgNCQs9ysMe8d568dgJgy0GcyxFXIh0hFvCsqPJSXr2tAeKghPcNy3/hF7D+a4uuwAlauc4tIoChZC276GqLinOdT7oN/Jp1xd+WWnKn485G09AzuG7+IfUdTARjR8wIqFi905hcs/BimP+I8LlQCbp4MxfWXvBQc9crFMahTHQC27D/Gw5//rRH68yDXuUUk0JStD//5AsILAxa+vA1WfHPG3ZVbTqfiz0denrWKP9c7p597N6tI94blz7zzonHOnb0AkXFw01dQqnY+RCmSv/q1TOCKuqUB+H75Dsb8tt63AQWgXOUWkUBVsSncMAHCosCmw8Q+sHL6GXdXbslOxZ8P/LRqF29lGXphSNd6Z9554ccw+W7AQkQM3DgJyjbIn0BF8pkxhheubpA5RMOz05ezZNN+3wYVQHKVW0QCXZXWcN0nEBoBGakw4aYzngFUbslOxV8+23HwOA9OWAxAoYhQRv7nQqLCzzD0wl8fwpR7cAq/WLjxS6jYLN9iFfGFuELhvHlDI8JCDKnplrs/XciBY6m+Dsvv5Sq3iBQUNS7PXgBOvBmWT81xV+WWk1T85aPU9AzuHb+IPUeczqZP90ikWsmYnHf+ayxMvc95HBELN30JlZrnT6AiPtaoUjEGdnK6Nmzed4xHNEXTWeUqt4gUNDU7wPWfQmgkZKQ5M18tm5LjrsotDhV/+eipacuYv24vANc1qUiPRme4U/fP0TD1fudxZBGnj5/O+EmQ6d+qCu3rlAJg5tIdvKExus7ovHOLSEFV43LofUoBmPRljrsqt6j4yzfj5m3go7nO/IIXlI9jaLcc+uJY64zj982DzvPIOOeW9opN8y9QET9hjOHFaxqQUMK5U/WV71cxI2mbj6PyP+eVW0SCQfX20Hv8yZtAJt3iXEU7hXKLir988cfaPQyZvBSA+JhI3r25MdERp/TFsRa+G3xyHL/o4nDzV1ChcT5HK+I/ihaK4P0+TYiJDAPgvxOWsGzrQR9H5T/OK7eIBJPq7Zy7gE8MAzP1fvj1ldN2C/bcouLPyzbtPcqdn/xFmmtuzXduakzZuOjTd8xIh92rncex5aDfdCivwk+keqlYXu/dEGPgWGo6t360gN2Hk30dls+dd24RCTZV2zizX0UXc55/PxS+e8I5yZJFMOcWFX9edCQ5jVs/WpBtsNXGlYvlvHNoGFwzFhrcAP1nahw/kSwuq12aRzs6PxNb9h/jrk8WkpIWvJO05yq3iASjCk2ckyixZZ3nv7/ujJebnpZtt2DNLSr+vOTE3Xcrth8CYECrKlzd+BydsCMKQY+3oWilfIhQJLDcfklVejRyBiyev34vA7/4Oyjv0stTbhEJRqXqwC0zT86GtehjGH89HM9+eTcYc4uKPy/IyLA8MulvflixE4BLapbMvLVcRPLGGMMzPS+gQcWiAHy5aAvDv1keVNM0KbeI5FKxyk4BWOYC5/maWTCmI+zflLlLMOYWFX8eZq3lyWnL+GrRFgDqV4jjrf9cSFiovmoRd0WFhzK6TxOqxhcGYMxv6zJntCjolFtE8iimFPSbATU6OM93LoX328GWhZm7BFtuUdbwsDd+WMPY39cDULVkYcb2a5Z5N5GIuC8+JpKPBzSnbFwUAC/MXMm4eRt8HJX3KbeIuCEyxhkGpvkdzvPDO2Dfumy7BFNuUfHnQR/PXc/Ls1YBUC4uik/6N6d44QgfRyVS8JQvGs3H/ZtRrFA4AIO/TuKbvwvuOF3KLSIeEBIKnZ6DTi9Au/9BYq/TdgmW3KLiz0M+m7+R/01xxtsqXjiCj/o3p1xRDbsg4i3VS8Uytl8zCkWEYi08MGFRgRyoVblFxMOa3watHzrj5mDILSr+POC9n9cy8Mt/sBYKR4Qytl9TqpfSvJoi3tagYlHeu7kJEaEhpKZb7hq3kM8XbDr3CwOEcouIbxT03KLizw3WWl76biVPf7scgLjocD4Z0Jz6FYr6NjCRINKyejzv92lCVHgIGRb+b9LfjPl13blf6MeUW0R8ryDmlhNU/OVRRoZl6JSlmRNCl4yNZMLtF9GokgZaFclvl9QsySf9mxMb5dwA8eS0Zbz2/eqAHKpBuUXEfxSk3JKVir88OJ6azoMTF/OhazL18kWj+fz2FtQuU8THkYkEryYJxfnstoso4boR4pXvVzF0ylJS0wNntH7lFhH/UxByy6lU/OXSpr1H6fX273y9eCsA1UoWZtKdLUhwjQ0kIr5Tr1wcE+9oQTnXUA0fzt3Aje/PY+eh4z6O7NyUW0T8VyDnlpyo+MuFOSt30uWNX1m61ZkapllCcSbe3kKTqYv4kWolY/j8zoupW9Y5WzZv3V66vvErf23Y6+PIzky5RcT/BWJuORMVf+chI8Py+uzV9Bv7JweOOROp929ZmXG3NKJETKSPoxORU5UvGs0Xd15MrwudOW93HEzmunf+4MPf1/tVX50cc0urKoy7tblyi4gfCpTcci4mkILNLWNMPSApKSmJevXq5amNVTsOMfirJOavdyr7QuGGD1vspOnG96FmJ7jscQ9GLCKeZK1l3LyNDJu6lNR0J9e1qVWSJ7slUqlEIZ/GdmpuiQ4P5bmr69OtQTmfxiUi5+at3LJ06VISExMBEq21Sz0T7elU/J3B0ZQ0Xp+9hvd/WUtahiWEDPrELWFg4SlE7l3p7BQaCXfPg+JVPB+8iHjMoo37uGvcQrYdcPrnRIaFcF+7GtzauioRYfl7AeTU3AJQNb4wo25qTM3Ssfkai4i4x9O5JWiLP2NMDDAcuBYoDqwAnrXWfpaHtnJd/Flr+X75ToZOWcqW/ccowhG6h/7OfbE/UvL4+pM7RhWFFnc7S4Q6ZIv4u31HUnh2+gomZBmotXqpGJ7sVo8W1UpgjPHq+5+aWwBCDPS9uAoPXlFT8/SKBChP5pZgLv6+A5oCA4FVwA3AAOA/1tpPc9nWeRd/yWnpTFm8ldG/rmPF9oNcFLKca0PncGXofCJJObljdHG4+F5oOgCiNPyCSKD5c/1eHv/qH1btOJy5rmHFogxoXYWO9coQFurZM4HZc8uhzPUNKhbl6asSSSwf59H3ExHf+HP9Xo6Mu4ltx8KZkN6WxbYaDSsWy1VuCcrizxjTGfgGuMFaOz7L+u+AekAla216Lto7Z/G34+BxJv65ic9/X0HNY4u4NGQJbUKWUDFkV/Yd4ypCs1uhSX+I1PRKIoEsNT2D0b+u49XvV3E89eRYXeWLRtOvZQI9GpV3+4aLE7nlw7kb2H04OXN9bFQYj3SszQ3NKhEa4t2zjSKSjw5sxr6SiMGpq/7NKMtPGQ34KaMBG2Mb8Z9Wtc6ZW4K1+HsPuB4oZq1Ny7K+N/Ap0NJa+3su2jut+DuSnMafa7ayIukv9q3/myKH1tA4ZDUXmlVEmFPqytAIqH0lNLoJqraBkFC3P6OI+I+dh47zydwNfPzHBvYdTc22rW7ZIrSuEU+rGvE0TShOVPjZf/6PJKcxb90eflm9m19X72b1zsPZtpcuEkmfixO4oVklihaK8PhnEREf27UKvh8Cq2bCKeepkm048zJqs8hW51hcDUpUaUCdxEY0qVYmW24J1uJvLhBqrW12yvp6QBJwu7X23Vy0Vw9IGv/fVtQsHkJE2mFi7CEqspNQk/PntqERmEotoFZnqH8tFCruxicSkUBwLCWdLxdtZvSv61i768hp20MMFC8cSXxMBCVjI4mPicRay67Dyew+lMLuw8nsPZpCTum0btki3HpJFa68oFy+31wiIj5waDv8PQFWzsBumoc5wwXLVBvKZluSIyGxJIcVJj08hn/3Wm54fjp4ufjztx7GJYC1Oazfm2V7jowxpYCSp6yuDRC99S8ijztJ9wjOHSQnZBBCSmwFIhOaYypdBOUvhHDXbdrrtgHb8vAxRCTQNIyB166IJ2lLOH9t2Mdfm/axevshXDfkstW1nEtYiKF22VgurFScJglFqV2mCMYcYPXKA94MX0T8SdH20Lw9NDwEm//CbvqDlPXziDiyLfOyMKQDWzBAlGtN+J7MriBevTzgb8UfwNlORZ5t213AkJw2XDXh2DnecrlrGXuO/UREzm0TMMvXQYhIIEsEFnmrcX8r/vaQ89m9E9dezzaHylvA56esuwAYD1xN9hN+EhiqAZOB7sC/Po5FckfHLrDp+AUuHbvAVhuYhDPaidf4W/H3D9DbGBOW9YYPnCIOnH5/ObLW7gR2Zl2XZWydFd68di7ekeX4/avjF1h07AKbjl/g0rELbFmO3+Gz7ecuf+t9/BUQA/Q6ZX0fnO428/I9IhEREZECxK/O/FlrpxtjZgFvG2OKAGuA3kBH4MbcjPEnIiIiIqfzq+LPpSfwNPAkJ6d3652X6d1EREREJDu/K/6stYeB+12Lu3YBw1z/SuDR8QtcOnaBTccvcOnYBbZ8OX5+NciziIiIiHiXv93wISIiIiJepOJPREREJIio+BMREREJIir+RERERIJIQBZ/xpgYY8yrxpitxpjjxpjFxpjrz/O1pYwxY40xu40xR40xc40x7bwdszjyeuyMMT2NMeONMWuMMceMMeuNMeOMMTXyI25xuPOzd0o7w40x1hhzxll7xPPcPX7GmO7GmJ+MMQeNMUeMMUuNMbd5M2ZxuPl7r60xZpYxZqcx5rAx5m9jzH3GmFBvxy0OY0ysMeZ5Y8x3xphdrvw3NBev92jtEpDFH/Alzqwfw4BOwJ/AeGPMDWd7kTEmEpgNtMMZSqY7sAOYYYy51KsRywl5OnbAo0AhnDEgOwKDgUbAQmNMPe+FK6fI6/HLZIxpCDyM87Mn+SvPx88YM9D1+iTgWqAbzpzqEV6LVrLK6++99sD3OEO73QpcBcwBXgNe9l64cooSwG1AJPB1bl7oldrFWhtQC9AZsDgDP2dd/x2wBQg9y2vvcr22RZZ1YcBSYJ6vP1tBX9w8dqVyWFcOSAHe9/VnC4bFneOXZd8wYBHOL545QJKvP1ewLG7+/DUG0oFHfP05gnFx89h9AhwHCp+yfiZwwNefLVgWwHByeL141/Ecep6v9XjtEohn/nrgTHj8+SnrP8ApBpqf47UrrbVzT6yw1qbh/HA0M8aU93Cskl2ej521dmcO67YCm4GKHoxRzsydn70TBuLM3PO4Z0OT8+DO8bsHSAbe8E5ocg7uHLtUnD+Sj52yfj9OUSj5wLrk8eUer10CsfhLBJa7PnhWf2fZfrbX/p3D+hPrdPnQu9w5dqcxxlQFKuP89SPe59bxM8bUxblcf6d1ZvKR/OXO8bsEWA70MsasNMakG2M2G2OeNcbosq/3uXPsRuFcmn/dGFPOGFPUGHMTTkHxvOdDFS/weO0SiMVfCWBvDuv3ZtnujdeK+zz2/RtjwoDROH8Nv+J+aHIe8nz8jDEhwBjgS2vtt16ITc7NnZ+/8kAN4HXX0h4Yi9N38wPPhShnkOdjZ62dB1yGU+xtAfbhHLPHrbUveThO8Q6P1y5+N7fveTrbqdNznVZ157XiPre/f2OMwSn8WgO9rLWbPBGYnJe8Hr8HcYqHbp4NR3Ipr8cvBIjF6XP2mWvdj8aYwsADxpgh1to1ngpScpSnY2eMaQx8BcwDbgeO4BSDw40xUdbapzwapXiLR2uXQCz+9pBzlVvc9W9O1bEnXivuc/v7dxV+7wM3An2stZM9F56cQ56OnzGmEvAkTn+/FGNMUdemMCDE9TzZWntqnyTxLHdzZxmcmwSymg48AFwIqPjzHneO3UicO0N7WGvTXet+NMZkAEONMeOstWs9F6p4gcdrl0C87PsPUMd12S+rC1z/nm3csH+y7Jfb14r73Dl2WQu/fsAAa+0nng9RziKvx68qEI1zh+++LEtLoI7r8TMej1ZO5c7PX079jcC5gxEgw53A5JzcOXYNgb+yFH4n/IlTA9TxSITiTR6vXQKx+PsKiAF6nbK+D7AV59T22V5b2xiTeWeU64fpRpzbpbd6OFbJLs/HzlX4vYdT+N1urVU/o/yX1+O3GGibw7IEWO96/KbHo5VTuZM7v3D92+mU9Z1xCr8/PRGgnJE7x24r0CSHAZ1buP7d7JEIxZs8X7v4euybPI6X8x3Oac5bcX5xvItzzfs/WfYZDaQBlbOsi8SpkDcCN+B0Wv4S51b4S339uYJhcePYveHabzRw0SlLI19/rmBZ8nr8ztDWHDTOX0AcPyAc+AtneJD7XLnzWdd+b/j6cwXD4saxu9e137c4gwNf7jp2qcAsX3+uYFpw/ni6GuckhgUmup5fDRQ6yzH0eO3i8y8jj19gDM4lpG04Y08tAa4/ZZ+xri834ZT1pYEPca6hHwPmAu19/ZmCZcnrscM5Q2TPsKz39ecKlsWdn70c2lLxF0DHD6d/0ShgO864cStx7vYN8fXnCobFzWPXE/gF2IUzQkISzrBLhfMrfi3n/D2WcI5j6NHa5cRo0yIiIiISBAKxz5+IiIiI5JGKPxEREZEgouJPREREJIio+BMREREJIir+RERERIKIij8RERGRIKLiT0RERCSIqPgTERERCSIq/kRERESCiIo/ERERkSCi4k9EREQkiKj4ExEREQkiKv5ERM6DMSbKGLPIGLPGGBOXZX0ZY8x2Y8wcY0yoL2MUETkfKv5ERM6DtfY4cC1QChgDYIwJAcYBBuhtrU33XYQiIucnzNcBiIgECmvtamPMAGCCMeZ+oDjQBuhord3m0+BERM6Tsdb6OgYRkYBijHkLGACEAiOstU/4OCQRkfOm4k9EJJeMMU2AP4EUoIK1dpePQxIROW8q/kREcsEYUxhYgNNnujTwk7W2u2+jEhE5f7rhQ0Qkd0YBlYCeQH+gmzHmv74NSUTk/Kn4ExE5T66bPW4E7rbWLrXWfgG8CTxnjGnm2+hERM6PLvuKiJwHY8wFwDxgorW2b5b1kcBvQAmgkbV2v08CFBE5Tyr+RERERIKILvuKiIiIBBEVfyIiIiJBRMWfiIiISBBR8SciIiISRFT8iYiIiAQRFX8iIiIiQUTFn4iIiEgQUfEnIiIiEkRU/ImIiIgEERV/IiIiIkFExZ+IiIhIEFHxJyIiIhJEVPyJiIiIBJH/B7PfIuaQpn0sAAAAAElFTkSuQmCC\n",
          "text/plain": "<Figure size 720x480 with 1 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "4beedcf603fe4552bd1069b18e4b3db6": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "DropdownModel",
      "state": {
       "_options_labels": [
        "entangled",
        "separable"
       ],
       "description": "State type",
       "index": 0,
       "layout": "IPY_MODEL_098a5581572c4226a1c5586fc679abe6",
       "style": "IPY_MODEL_92bc46b185444855a83722d460451cd8"
      }
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          "text/latex": "\\begin{equation*}1.00\\lvert {2}_{x}\\rangle\\lvert {1}_{y}\\rangle\\end{equation*}",
          "text/plain": "Wavefunction(['x', 'y'], array([[0., 0.],\n       [1., 0.]]))"
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\n",
          "text/plain": "<Figure size 720x480 with 2 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "7062ff9a15c74abdb06f725684412cf4": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_9651b17ef372445faf6a1fdc80c2fcb5",
        "IPY_MODEL_3429c26f85564174892e1b34f6161f17"
       ],
       "layout": "IPY_MODEL_d1c0848138e24ac7801ee3603640886e"
      }
     },
     "7301c63540774579bdd3b6f63342140f": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "737e8369b3a34cd8b462113c9055f98e": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "73b1aba5953442b09ece3f3196dbc0f2": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_98453aeca75740dcb31a5512d48f1d0d",
       "outputs": [
        {
         "data": {
          "text/latex": "$$1.00\\lvert {1}_{x}\\rangle\\lvert {1}_{y}\\rangle$$",
          "text/plain": "Wavefunction(['x', 'y'], array([[1.]]))"
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "<Figure size 720x480 with 2 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "7586258a88164305af6152ed333ecb1f": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_0e7cc1d543824c8f941b111c6d8dc264",
        "IPY_MODEL_1b6e09b8b4ad40299b476364620d5510",
        "IPY_MODEL_4ac78637db324d2984aac0504ea68eae"
       ],
       "layout": "IPY_MODEL_467ef871f23745ff8ce80d0099077c14"
      }
     },
     "77271ddb683c4c1db4855974b8c2fb2b": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_7301c63540774579bdd3b6f63342140f",
       "outputs": [
        {
         "data": {
          "text/latex": "\\begin{equation*}1.00\\lvert {1}_{x}\\rangle\\lvert {1}_{y}\\rangle\\end{equation*}",
          "text/plain": "Wavefunction(['x', 'y'], array([[1.]]))"
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "<Figure size 720x480 with 2 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "797f692a3fe64cdcabf1d03f1353e14a": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_6e15e6c766bb46a19d2ffde6a8da45ce",
        "IPY_MODEL_42ad7a1393b84ce39f1802251a1820d6",
        "IPY_MODEL_169ac46bb47d4e6aad037ccd9326b2c9"
       ],
       "layout": "IPY_MODEL_b89e7d83bd0d4d3e8d6b3e31bbe3d8bc"
      }
     },
     "7bcfb2269b944b02b9f91ab5273c12ad": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_0d14a743889c43fe9adfe3a8910e78b7",
       "outputs": [
        {
         "data": {
          "text/latex": "$$1.00\\lvert {1}_{x}\\rangle\\lvert {1}_{y}\\rangle$$",
          "text/plain": "Wavefunction(['x', 'y'], array([[1.]]))"
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "<Figure size 720x480 with 2 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "7ca70d1604d146f7856a184029333ca5": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "7f09af2ebe944b389c91dff68e3e9f3d": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "DescriptionStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "7fd846e296554da381455b86bbf5b8f5": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "80018421f6ec4a75890025678640501b": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "80167428bebe41fd8d7b878d3a8e7cd1": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_e51aba9b324444b5901568762de93a37",
       "outputs": [
        {
         "data": {
          "text/latex": "\\begin{equation*}0.71\\lvert {1}_{x}\\rangle\\lvert {2}_{y}\\rangle +0.71\\lvert {2}_{x}\\rangle\\lvert {1}_{y}\\rangle\\end{equation*}",
          "text/plain": "Wavefunction(['x', 'y'], array([[0.        , 0.70710678],\n       [0.70710678, 0.        ]]))"
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "<Figure size 720x480 with 2 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "80f5d89205c246a290ca568a8105946e": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "IntSliderModel",
      "state": {
       "description": "n_y",
       "layout": "IPY_MODEL_b9b2a517511e40588cb1667ca4df5477",
       "max": 5,
       "min": 1,
       "style": "IPY_MODEL_326cfd6f20924f17919dd0ef849d5b53",
       "value": 1
      }
     },
     "89c0a437c8f94a998d3e2f2413f6a4d1": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "IntSliderModel",
      "state": {
       "description": "n_y",
       "layout": "IPY_MODEL_04c09b617227466d8346b1993436e61d",
       "max": 5,
       "min": 1,
       "style": "IPY_MODEL_00d551eb8ac84b6eb5b655d25ae55165",
       "value": 1
      }
     },
     "8a56c8c939514fc1830abd1a84051bb6": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_cb13f5c1124a4bafb937a23023e211c0",
       "outputs": [
        {
         "data": {
          "text/latex": "$$1.00\\lvert {2}_{x}\\rangle\\lvert {1}_{y}\\rangle$$",
          "text/plain": "Wavefunction(['x', 'y'], array([[0., 0.],\n       [1., 0.]]))"
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "<Figure size 720x480 with 2 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "8b94a02f52d8451b9e47a83858baec00": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_970729bad24e4313a3d61f3277eac294",
       "outputs": [
        {
         "data": {
          "text/latex": "\\begin{equation*}0.00\\lvert {1}_{x}\\rangle +1.00\\lvert {2}_{x}\\rangle\\end{equation*}",
          "text/plain": "Wavefunction(['x'], array([1.2246468e-16, 1.0000000e+00]))"
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "<Figure size 720x480 with 1 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "8d99b20bd55b4a8c9340af5e0a514869": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "IntSliderModel",
      "state": {
       "description": "n_x",
       "layout": "IPY_MODEL_b919e069e8054ec2b4d9334420bfae88",
       "max": 5,
       "min": 1,
       "style": "IPY_MODEL_46eba05b516e44b4992f4bde1d6e7dba",
       "value": 1
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\n",
          "text/plain": "<Figure size 720x480 with 1 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "d27e1e14353d4d54827172d4295b4034": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "d7881602a87647688140255b5a7da90e": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "dd783b44d97c4baba309d76c98181b33": {
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       "children": [
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       "layout": "IPY_MODEL_737e8369b3a34cd8b462113c9055f98e",
       "outputs": [
        {
         "data": {
          "text/latex": "\\begin{equation*}1.00\\lvert {1}_{x}\\rangle\\lvert {1}_{y}\\rangle\\end{equation*}",
          "text/plain": "Wavefunction(['x', 'y'], array([[1.]]))"
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
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UkawGAQnJczbZj2ik/ZqVk4zkpAHJCbhnapthtuOpWe62CfQ8l9OqJdzjHpv+0p8MQYQQQgghhXDFhhBCCMmkxSKYpGUY2BQQkZBiMpM3ZnMiPt85Nb32kyctReShxM1U4HhyHVWOw2m8LlOu5BSRmXKlpVwJyZOEYsn6WpKlzLlKEvFZEplpo1lm8pPyNUtgdm7rnoRkpStzaT3pKpWrtk42PreBZCbfy5So7Bp5JOHeupGT7Ji2jZWcUhkLjW18WcrWlnIcT2ocT4mMlSc/eXJ6RNLqCwNIKCnlpP6kGyhFEUIIIWRl4IoNIYQQkgk3D/cXBjZzxUsy5TmbbM9IIr5mqcRP0GeXmPPkJ09OCklajhwWcTiNz/veDUf6aklmGjkylmXDOVc6fp5ElYzfkhSVnrhZNsollpTPqfcUcFH5ziaTfG9gpSEj7wzMdQvIVeNj2XPsN9zfHJ9dorLzyHVO2QR99nNpZSl7pUeO88jOf+QkJEzFn+bEfb7kZJ9Z3SR7UlhSgXbv7mBgQwghhGTCFZv+wj02hBBCCFkZuGLTEt4u/0j7fCfU9ER8Vn7ynEquQ6ol+ckbJ3UsTU8SaOWm8eciklOuzOTXhMqUqDqQpdpK3FeC51pK2kTkJyOHDZ0kfp7k5Lmxho6UFJKrAAwdN9MocTDlSVTIdDmtm/kkN2jzWYnIUp4Tymtv39+hxH0Bh5QnXaXYe5tNBthvBjIoKqlQ4qgik+ndlRWRg0TkLSKyW0TuEpErReT5wb5PEZGPisitInKHiFwtIq8QCWwEIIQQQoKIAIN6n80sD26x6Y4+rthcAOBxAE4F8AUAJwI4T0QGqvo+r5OIHA3gbwF8CsCLAXwbwM8AeCuAHQBe2fG8CSGEELJgehXYiMgzATwdwImqel59+BIRORzAm0Xk/TqerW2LnajWsP+bqn67PvYxEXlk/dxCAhvPtdSaXOU4odzEdY4kFJGf1o10EJOopteQSsZ0kuqtjyV+60JyCrUPSEuenGTbRFxOJXWmuiCSiC+yLD90kuatB+QnT7qy7UeOlDR0kuFZOQjwZSpPorKkMpjjbnScU74TynzrSZUBWUrMa7a3EvseEjRLaYK2ZCbbyshYS1o3ipuH+0vfpKjjANwB4Pyx4+cAeAiAJ0zoey8qUfk7Y8e/CeCuluZHCCGEVJLSoOBBLaoz+hbYHAng86q6Pnb8avO8xx+h2iH3ByLyEBG5v4j8PKpg6Yz2p0oIIYSQvtErKQrAoQC+2HD8dvN8I6p6hYg8FdVqz8vrwxsAfkNVf3faiUXkMAAPGju8Y+qMWyCRqwJOqOxEfJl1mkraePKT58yKJNi7dzTmigpITvduNEtcEZkp4lqKSEsltaUsbUlXueRKS3CmmV37yRk/dTY1n8y28eQq110FYL/hVr0kK1NNclLtbePIXcn8AjWh1mwtJ8cJNdJBoM1GoI25LtJ8/0gVEyshNTuk7K7YZZWZIogMipxNQldUZ/QtsAEmp6d0nxORxwK4EMAVAF6KavPwUwG8UUS+S1XfMOW8pwB4feZcCSGEbEO4x6a/9C2wuQ3NqzKH1F9vb3hukz8E8DUAx5kNxpeIyAjALhF5r6o2rQZtcib23duzA8BF06dNCCFkOzGQgbuRPNqfdEPfAptrAJwgImtj+2yOqr9eO6HvDwM4r8E19RlUe4kehWaZCwCgqrcCuNUe26zlodC98k/ibFJPKvIcTBGX0/Q2vvspsw5UxLVkku9F5Ce3zciO0+x48txO+7iiHDkpkbUyJaeIzOTJPZ7UFZGovHE8RqM51ttxpaWtvzT9BH3NLqp8yclcK2ecpK/9OVr3k5WoJkhG9mfgJt9TxxWV6ZyyeE4oX5aybcxh+7lx5K1BIi/bJITNDinLMJSIb/o9zG9jkgEaeUtltRxVpFv6FjJeCOAgAMePHT8ZwG5UMpPHbgA/2pCM78fqr19qZYaEEEK2PVJnHp71wT023dGrFRtV/bCIfBTAO0TkfgBuBHACgGcAOGlzNUZEzkIV7OxQ1Vvq7r8P4A8A/LWI/DGAOwE8DcCvAviYql4131dDCCFkVRnKIFTdflJ/0g29CmxqngXgTQBOR7W35noAJ6jqn5k2w/qxd01SVd8mIl8G8CoA7wJwHwA3AzgNVdCzkkScUJ5c5bmWvNpPXctPnpNpXIryEuvZdm1JThGZKSZRNUtIfkK/6ZLTPGWpZKNjQKJCkuxt0HQ4aZ8vOTmOpaTeUZ5EBaQylcVL9mex89jPDLseyKO4Zn/HuZJTs5yU5MYwU0vqQDn3A0mcUM0OKVDuIUtG7wIbVb0DVZZgN1Owqu5ElU14/PgFqEoyEEIIIZ0xGAz3CYxz+5Nu6F1gQwghhPQdKXRFcY9NdzCw6RivPlRbSflynVC+RNXcN5Wo8mo/efKTTbhnZZx1J1mfdTtVfQKuqEzJyZ67RGZKz+vIT64s5bXPS75XIlG5uTVc+cmRmRIXi01u1yxp2aR3STI9nV2uWhs2SzeeRFWdY3pivZHjinKT8jkJ/TysLOW5nHzJyXE5ecn3Mh1S6S/y3GR9ps0KOJsG9ebhkv6kG3hlCSGEELIycMWGEEIIyWRQ6Iriik13MLDpgFR+yu07PSlfW06oUF80900kqpbkp7ArynEq+a6oPMmpLZnJSkuupJUpS0X6FhFyPNn2NtldcxtffjKS00jMcXXa58lVG4785ElU4+3S1zDdFeXtt7BupntxT2ObCInk5EhLrssp8FmPOKRGyTVtTtaXWyjA3i+XSZbi5uH+wpCREEIIISsDAxtCCCEkk0Fd3bvkMSsicrCInCEiHxGRPSKiIrIro/9hIvJuEfm6iNwpIpeJyNNmnlDPoBTVGtPlp0h9qLR9+04oLxHfhuN+ipy3a/lpvOZSkuDPnNsbK9ZmuuQUkZki0lIXyfo8In1DVYYzJapIUr6BM7ekTUCuslLUQJqPJ44qe64xh5Pfzhy3XcxrWzPH73WuV64sZeWtRDYKuKWSP1vNcRk2j1nikLISkgZqQvnvOPsC+i3VVCUVFmb3PhTASwBcBeADAF4UP68cAODjAO6PKl/crQBeDuBiETlaVS8tmVgfYGBDCCGELBe3AHiAqqqIPBAZgQ2AFwI4EsCPq+plACAil6AKks4A8IS2JztvGNgQQgghmSyyVpRqwF3gcxyAGzaDmnq8dRE5F8Bvi8hDVfXLBeMvHAY2BXgSUm4bLymf27rICRWQrsz3G477ySbD82o/ReSnSFK+cYkmeS7T8bS+sVVZpy3JyZOZItJSRCry7mG5ifs8NgL547xEZKORJyo0J+Wz8lAyvuNysnJVOs7sElVy3qgrSpsvUiShn4eVpew4kdpS6cmaa0J50pIWOKSGzo87dTbZRs3XMyJLlTit5kHpPhnTd4fs6yjco6q3zjz4ZI4E8HcNx6+uv/4QAAY2hBBCyHZCCu3estX3ooanTwOwa+bBJ3MogNsbjt9unl9qGNgQQgghi+NYADeNHdvT8TknLRV3kCBrvjCw6YSIvODJCNOT8qXjzJ5wL5KIL+KKssc9mcl1IwXkp/FaUfmuqK1rur7RfLwtycmTmXLlpJLEfZ2Qm4jPoEbKsLKXXX73JaT2JapkzmPSWNQ9tcl+JtmffZ/a4+nno3GYsTHNfLTZneQm3wsl7surIQXZb++3XnJQb7+Ivc+Jux9lOX+PDlBWBHOwZVu7SVWva2VSMW5D86rMIfXXptWcpYKBDSGEEJLJYDDEcDkzD18D4KiG45vHrp3jXDqBCfoIIYSQ7cOFAI4Qkb22bhFZA3ASgCtUdffCZtYSXLGZI57jyXNO5cpAkZpQMZlpeiI+KwFtZM4zSeIXkJ/Ga0VF5CdPclrfsLJRt5JTW4n7kvaZTqiIdOVJS257xyFVkojPylWjkMtpdokqmcOYFOUl2dvPtFlHM54s5Y3vyUwbiZxmjtvXHEjc5zqk3KR8eZ9jm6xvmMhVzW6mZa0J5TEQKXRFlXm9ROQYAAcCOLg+9GgReXb9/YdU9U4ROQvAyQB2qOot9XNno0rId76InIoqQd8pAB4J4OiiSfUEBjaEEEJIJj0ogvkOAIeb/z+nfgDAwwHcjMpvP4SJMVX17rp8whkA3gbgvgCuBHDMKmQdBhjYEEIIIdlI4eZhKdwJoqoPC7TZCWBnw/GvoVrJWUkY2GTi13Xylvzz5CdPrvIcTOmZMqWrgBPKk4RsHaj1xAk1PYnfhjM391xjy/qRhHvr6/Y1N8tDqSzVvuTkSlqeE8p1TkUkqvadJW4NKeuQ8mpFOYn7ktpPAQmpLYnK3uislOTNsxorltSvCStLJbXOcpPvBUhf83SHlCstOUkF0/tKc7I+T2byk+w114TyZax+J+sj/YKBDSGEEJLJYDDw95sF+5NuYGBDCCGEZLLIWlFkMgxs5kqe/JSblC87WV/IzeTIWIn8YmtLTXdOReSq0aj5XFW7PPlpfX2j+biXrK8DySnifvKdU4H6YV1IUU5dp6TNyHEbeRKVuQ5pAr1uJap0zltt1tbSX0z2PbRm7o72PbdmbptJjafGs41hTmev3YYZx0pLI+t+SqQl64pypCXvHuBISxHnlJesz+K7n5YzER9ZPhjYEEIIIZmIDMs2Dxf0JZNhYEMIIYRkMpBBmd2bUlRnMLDpAE9aSpnufkqPz95eC5xQJYn4UndRs0TlSVppzal0kd+Tn0JJ+RzH00ZJ4r6A5OS5riy5ElXSpoMaUpMcQ3vbBGswbY1ppI8kgV77EpVNrL6OZqlnn/k5EponS1lsEj9XQvJkJvVkpumJ++znNeKQSu8Hzb+YS+5D6b6TZveTZdUS95HFw8CGEEIIyWQgg8LMw1yx6QoGNoQQQkgmS1wEc+VhYFNARHLyE/elrZoIOZtyj3fghIok1kuPW5npnsbj3tyAMvnJ9tWAc6otyclrYylJ0BcwTmUzcmQmiy85eQn6nMR6HUhUFuucSmWltN2aI18lbUz/VMJtbF5EJw4pJylfyfFh8uMOvF8DCff6LlFVKzbcY9NHeGUJIYQQsjJwxYYQQgjJRAr32AhXbDqDgU1LhGSpSKK1QB0a37Ew+/FUcpruhLrXSabn1YHyxvGOW4nJykdVu2ZZpwv5KZLELyI5RWQm7+0RkqI6yH0mAXlLnXuzlbGstDTa8KSl2SWqtSTr3da39udrE/F5SfiAVJqyspR9PePvx73tzTQ2nMR36fGhOW5cW+Y128+Z3ZPhOaTSz7Sp62TmmUhIBcfhtZH9GtvY+5+Xw6Xv8pNlUFgEc0DBpDN4ZQkhhBCyMnDFhhBCCMlkUJh5uKQvmQwDmw6IOKFsG0/G8upAJeM40k8sKZ+RirzlbMcJ1VYiPjcZ3gQZx0oMEflpw5OTOpGlprufrOSU1qVqbI5RRBLqoFaUOMnqkvM6k7YylpWr7LaCETz5abpEZeWnJPle4n6y8pNpM+F1TXJMNY2b/OzFfm/el0mCvoLEfaPp49jPsf3FmXzuA8n6kvuNuVxeUk/rirL3s5j7aXqbXiKDsrII3GPTGQxsCCGEkEy4YtNfGDISQgghZGXgik3HxOpG2fZ5rqjWnFABB5MnOUWcUF4iPlt3J3FCObWbqnM0O5I895PrnHIS7tlxch1PnsvJk5w8mcmTliKyVDrO9DbuirgzB5MbD+ZyutKV/VlYiSpxS1n51s7HmX8qP211WFszCfYS+cm0gXVajcuczY6pkZHB7PumuWpUjDTJ4HSHlJd8zzqk/LptAceTNB+PODUj9620/fK4nzwGGGBQMHe6orqDgQ0hhBCSiRRKUUX7c8hEGDISQgghZGXgis0ciTihLO6ysrPsm1sfKuk7mn48dU7lOaFi8lZzXSYrH1X/b3YnxZLvNY/rJdxLZal2JKdcmclN3NdWVr6AijCQLZ0ilZ+SCW21D8hVnkRlXVQjN3GfU/vJaENW6rI3upE5vj5mffIcT27dKDuuuUajQUA2slJowCGVOp7MRRpuJcRLPsf2uPf5g3df2a+5zYQabk3kOqSWCdaK6i8MbAghhJBMBMMiOWlZ9xYtAwwZCSGEELIycMWmB+Q6ELy+uUn8Qkn5XCdGnhMqNxGf12b8/xsbVjZqlp8iyfdK5KeNDdsGjeiouU0iYznSUsTZlOuWipDISU7SSXHUMDVSkV1xH5hxRo4gYSWqIaY7p9zaT9ZRNGh+P1jpafy5FCsPOUn5Bs57y0ncZz8fEYdUep+wklmzpBVJ1hdKvofpuA6sFd4gS1dUf2FgQwghhGTC6t79hYENIYQQkgk3D/cXBjY9xnMjeJJTpG/SJpCUb8N1PHXrhPKS8IX7uDWhpteW8sbZWM9zPJVITrmJ+zwiEtXAub9uOH2TRHxJwj1z2Ca+M2+/VKJqdlGlElWzcyq5cwVkKeuWskn89qnnZedhLp64jqfmxH2dOKSsQ1Gcz6uTrM8ScVhaPInKc1ERsmgY2BBCCCGZsFZUf2FgQwghhOTC6t5FSLUM+jgAhwO4z/jzqvons47NwCaEYu+SeLK8OxprM+vx2fFcS377ZgkpaeMdd5a2XcmpJSfUuFzg1YFKa0I1J/Hrg/zkSU4l9aFKcvVtOG8b8bKoZSbi8yQqm2TPvkTPOZWcy/xccmWpkTnveOK9NeNysW6mQcjxNLtDypOT1myiPE9a8pLyOa5HTzbKTb4Xo+S+6HyYPCseWRpE5AcB/BWAR6A5X6MCYGBDCCGEzIsBhoV2720tRf0hgO8C8DwAVwO4u83BGdgQQgghmSzSFSUiBwF4I4DnAjgEwPUAfkdV/2xKv50AznGe/l5V/erMk8rj8QBerKp/0cXgDGx6gJfcynUj5EpOjsspaV+QlC+VnKbLWLlOqH0T9HkSUnMfX5aaXX5K2mRKThZPxkraOCvv+zh6OsTWXUrn4LT3EvElNaGM48m8FM85hbXZZSmv7tPa2F/NiTw0aHY8teWQSs5rZSPzyzLiXPSS9SGRCU37gXMvcaTHkvvTUFbXLSUorO5dtmJzAar9KacC+AKAEwGcJyIDVX1foP8LUAVDlttKJpTJHQC+1dXgDGwIIYSQJUFEngng6QBOVNXz6sOXiMjhAN4sIu/X6TlBrlXVz3Y60cmcgyoYu7iLwRnYEEIIIZksUIo6DtWKx/ljx88B8D4ATwDw9zNPbD5cC+AEEfkrAH+NhtUiVb1g1sEZ2Cw5RUn8AvJWrnPKd0jN7oRSHZei2nFYebWfupCfciUnT2bqum6Un6zPyEZOm0Ei3dgJTU/EZ4f0nFOp5NQsSyXX38phjpNm/HjEzdSaQ8p1Qpn5BBxPVtHwP9PNkhCT782OSGF1762+O2RfC+IeVb3V6XokgM+r6vrY8avN89MCm78RkQcB+DcAnwTwOlW9NjLvltiUyx4O4L81PK+IlSlrhIENIYQQsjguajh2GoBdTvtDAXyx4fjt5nmPrwJ4E4DLUe1xOQrVPp3LReRJqnpVZMIt8JQuB2dgQwghhGTSYnXvYwHcNPb0nindJzkH3OdU9WKk+1o+JSIfBHANgNPruXSOql7a5fgMbLYBqcup2WVhSRwUiTvJc0hNT8qXzCfTCTUa01YiTih3LEc22tjwkuy1Lz/lSk6hBH0t5VNLk+w5jbz6UM791JOo3ER89lSOLJVcW6e21BDWjWQvuh1/vA6Z6dOBQwrD5jpVkWR9nnPKfl7XjFzluhhbS763vWmxuvdNqnpdRtfb0Lwqc0j99faG51xU9WYR+TSAJ+b0awMRORjAj6F6PV8HcLmq/nvpuAxsCCGEkEwWuHn4GlQbb9fG9tkcVX+dZa+MIAn5u0dEXg3g9QDui61kA98Wkder6u+VjN27YhUicpCIvEVEdovIXSJypYg8P6P/sSJyqYh8S0S+LSLXichLupwzIYQQMicuBHAQgOPHjp8MYDeAK3IGE5GHA3gSqn03c0FE/juAMwB8CsDzAfwEqizEl6KyrP98yfh9XLGZOfGQiJyKamPUHwH4HwDuBXAEgP07nfEMqAmOFd6ScbNLwU2S5bSJ4NeVMW0itWqc9tkuJcfhtE+fiBMq5JbaGt+TkLqQn2JJ/JqPW0YlxaIcrPTjntf5jydRtSVLyci2ae4rYtubgZzEfUDQzVTikLJtAsn6EieU9/nz6r8Np7uZvHtMxC3l1Zay9zOd7yLAXFlUdW9V/bCIfBTAO0TkfgBuBHACgGcAOGkzh42InIUq2NmhqrfUxz6GKpi4Glubh38NlYb72plfTD6vAvA+VT1p7Pj5InJu/fyfzjp4rwKbksRDIvJYVEHNb6jqGeapj3c6aUIIIduQQWH24CLB5Fmoft+djq2SCieMlVQY1g/7F8o1qFZGXo2qovatAD4B4A2q+oWSCWVyBIDfcJ47F9Wq1Mz0KrBBWeKhX0RVSOttnc2OEEIIWTCqegeAV9YPr81OADvHjr2q04nF+Q62NjuPc0j9/Mz0LbApSTz0kwA+D+B4EXktgP8I4Cuoor/Xqeo9k04sIocBeNDY4R0Zc29EkyXa+dX2sXhL1eNuoyY855Ttm5uUL51bXg2pfZ6LOKECifjS8U0b5/su5CdPcvKuXdfmlg3zfnWT8jlylaP8tCZLGdNRci5jOkqufzRxX+JsaskhZWfuyqKuE8o6qmDa2HpXzZKTV8MtkrivC+z9z94XvRpVfWdQWCtqm1f3/jsAu0Tkk6q6e/OgiDwYwOtQyWUz07fApiTx0ENRBSZ/gEor/GcAT0O1V+f7AfzclHOfgmqHNiGEEDKRRVb3XgF+E9UixY0i8nFUixDfC+CpqPbGPqtk8L4FNsCMiYdQ/Vl0MFKd8RIRORDAL9cWshsn9D8T+0pgO9CcFZIQQgghM6Cq14nI41BlWH4KqkWL2wB8AMBppft9+hbYlCQeug3AgwH87djxDwP4ZQA/gmr3eCN1XY6kNkdD/Y4Qi5KcSvAS8SVtIs6pzKR8Fs8JtY9zJdMJ5c0vNxFf1/JTruRUUhMqFzdX36B5zlai6kKWkszEfdYhNbTnmlSHrMAhlYzpJJT0kvW5tZ8CdaOWMfneMt4vAUAwgBRsAC7puwrUwcsJXYzdtyt7DYBHich4wBVJPHS1c3zzLrZ8n3hCCCE9RVp4kC7o24rNhQBejCrx0PvN8Ujiob8E8F8AHIOtyqEA8ExUQc1nWp0pIYSQbUzZik3/1hW6RUReB+Bdqrq7/n4SqqpvmPVcvQpsShIPobKEvxTAmSLyQFSbh48G8HIAZ5p2vSaUiM9L4ud8vxGQkNz5OPWh0jZeorGIHDR9GXqfWlEBJ5TFc0LlJuJL59A8ZhfyU6xWVPvL+eLIQxZ7a7Z7Ie3rakuWShxPSb2n6Yn7dGDlKmcS8BPoeQ6pZFLeOOLITJ78FHBCJbLUIC8RX3I/GEy/fyTJ9wKJ+whx2IWqAOdu+JXLN1EAqxHY1MyUeEhV7xWRpwP4bVQ7rg8B8P+jckUV1Z0ghBBCLJWYNLuctN2EKNWtPAb2+y7oXWAza+Kh+vjtAP6f+kEIIYR0xABlctL2kqLmSe8Cm2WlpCZKrjzUFr5cNf21ROpDpe0jstR051SUSE0oS0hyCryGXPkp1/Hkz6G5fQkDx63iSVQR51SuLDUcTnc8eRJVWhNq63u3hhSAwTDv72jP8ZQ4KiPyU6QOm1P7yfb1Zef5JeIruZ+tcm0psoWIbAD4MVX9h4bnHgvgH1R15iRBDGwIIYSQTKT+V9J/GzPpxQ8wOWfdVBjYEEIIIZmIDCAF2YNL+q4IXvDyWAD/VjIwA5sFsSj5KZeQLOW5pQL1odwxJyTbiyTly60J5fYNJOLzxoy4n/y+s0tOJSqeVVB8J5QzN1vXyblnR9xSXr0nL3Gf2nEch1SkhtR4/9xkfV7pn5Gjj/mfj+kS0rIk4rOvZSDzk8Pmx7ZedclCROzeWQXwARG5e6zZfQAcBuAvSs7FwIYQQgghXXMrgOvq7x+Gqi7kN8fa3I0qUe9bS07EwIYQQgjJhCUV8lDV8wCcBwAicgmAl6nq9V2ci4HNEpKfxM+4JrwkX5HzBnQQ1/0UkmK6rxkTSWQXkXs8J1RsDs3nypWfCo1jWWN6EtUgcSQ1u5a8JH7uHOz1cRxSFi+JXzqmeWGDbuQD+54YurLUdGedK2k5ifv8+TQn1/TuDUy+lwc3D8+Oqj6ly/G3V8hICCGEkIUiIi8QkV3Oc7tE5L+XjM/AhhBCCMlm0MJj2/IKAN9wnvt6/fzMUIqaI31O4pck6wucK9ImUkNKZ5CovPpQJUn5cmtCuW0CTquY1NV83J9D+7qUrdlkzxuRpSxeEr9I4r6IQ8pL0Kd2pT+QrA9IE/alTqjmulGeJKTa/F70a0I1Xzz7OfNu1huOhNRFUj4m30vZznJSIf8RwLXOc/8M4BElg2/rkJEQQgghC+G7JxwvWnRhYEMIIYRksumKKnlsY64B8HznuRPq52eGUlSP6UMSv4hzqi0ZxKu70yahBHeB19NWfjQvAWDSZo7ykzd+tixl3ExS4ELyaj+lbaY7niLOqVlI6pu15LaKOaSm15Dqmj7cnxaLoCxB37aWsd4O4FwReQ+AMwF8CcD3AXgZgOMBFG0eZmBDCCGEZMI8NrOjqu8TkSMA/AaAk8xTIwBvVNX3lozPwIYQQgghc0VVXyciZwN4OoAHAdgD4COqekvp2AxsSJjI0rOboM89vjinRCRpYNI+U/rJdUIlfQvkpxKZzEuglytLeXgOqVjCuenJ+pL2ZnLDOS/72/f10GhfvkMqUnOqW8cTyaMSokoS9BFVvRnAO9sel4ENIYQQkk1pLprtK0VtIiKHATgcVfHLBFX91KzjMrAhhBBCyNwQke8F8KcANksrbC5gaf29IrSO2wwDmwIU7btSdEmcBvOUkPZJ0GedRE4SPCuRlNSHiqhVXlI+v/10J5Sla/nJGydXlkrbbH0fcUjZ62aT9blOqECyxEjdKB2bT/KzHNifk/lepstGbZFbH2pRdHHf6uL+2ibcPFzE2wE8BsCvA7gaVVXv1mBgQwghhGTCIphF/BSAV6vqOV0MzsCGEEIIyUUkVq5+Uv/tiwL4164GZ2CzDbDJvBYpIa0SXVzGTJNWa/JTZPzI/TvXIRWhq8R6fSDihGrvXLbW1XLI3WSlOR/AfwPwsS4GZ2BDCCGEZFMmRW1zw/efA3iniAwA/DWA28YbqOo/zTr4iv0NRAghhHTPImtFichBIvIWEdktIneJyJUi4tVeGu97mIi8W0S+LiJ3ishlIvK0mSczG58AsAPALwK4GMBnzOOz9deZ4YpNxyxqZ38omV7XWoZ33ohLKVeXCRJ5yQvMGUhmIOaEMv9ps1ZU4H06T8kpOW/gzb6oek99dzwtARcAeByAUwF8AcCJAM4TkYGqvs/rJCIHAPg4gPsDeCWAWwG8HMDFInK0ql7a9cRrXtDl4EWBjYg8VlX/sa3JEEIIIcvBYopgisgzUZUhOFFVz6sPXyIihwN4s4i8X33//QsBHAngx1X1snq8SwBcBeAMAE+YaVKZqOp7uhy/9G+Xz9TLWD8nIszxTQghZFtQ7bApkaJmDoqOA3AHqg24lnMAPASTg5PjANywGdQAgKquAzgXwONF5KGzTqpPlEpRO1EtY/0pgN8VkXcC+GNV/VLpxMh8oVOCkOUn+Rz3OKEfSdgh+9oI96jqrU77IwF8vg5ILFeb5/9+Qt+/azi+2feHAHx58nTLqYtfTkJV9YWzjl8U2KjqnwD4ExF5HIBfAvBqAL8uIn8N4G2q+smS8QkhhJA+0mKCvosanj4NwC6n66EAvthw/HbzvMehpl1u3zZ5KrDPRqtDARwE4Jv1Y2Za2Tysqp8B8N9F5FcAvATASwF8XEQ+D+BtAN6jqne1cS5CCCFk8bS2x+ZYADeNPblnSudJu6+n7cwu6dsKqvqwpuMi8lQAZwJ4Tsn4bdu97wFwZ/1VANwXwDsA/G8ReWLL5yItMhgM9z4IIcsJP8dzRFt4VNykqteNPTwZCqhyvjStrBxSf21akWmjb+eo6idQ1ZF6a8k4rQQ2IvKfROSPUWlz/xPAFQCeoKo/AOCH6+N/3Ma5CCGEkG3MNQAeJSLjistR9ddrp/Q9quF4pO+8+GcAjy8ZoCiwEZHnicinAHwO1XLa7wE4XFVPquUpqOrVAH4TwKNLzkUIIYT0BVEtfszIhaj2ohw/dvxkALtRLSxM6nuEiOx1TtUB0kkArlDV3bNOqkV+CsDXSwYo3WNzHqqg5hcAnKeq9zjtbkZlJ9t2LKqC60CmL0UPSgq4FTAYbF2TDceMNeioQFzykr1zmzbe/Eh/GATexl291SPvU/t+nyeRz3fkPtEFK1HZOpWTZus/SzfVD4vIRwG8Q0TuB+BGACcAeAaAkzZz2IjIWaiCnR2qekvd/WxUTubzReRUVAn6TgHwSABHz/5i8hCR1zUcPgDAfwJwDIA3l4xfGtj8pKp+elojVf0iOs40SAghhGwTngXgTQBOR7U/5noAJ6jqn5k2w/qxN4pU1bvr8glnoDL23BfAlQCOmWPWYaDZ8XU3qkWQ12GRgU0kqCGEEEJWkgVVhlDVO1CVRHjlhDY7UeWaGz/+NVQrOQtDVTuVC1gEkxBCCMlFtfyxjRCR20XkR+rvXyciD+nqXCyCuQ2w1s9BsoGk6/MaHX3F9qokl7Glopl2u0bknme3UHRRzzR3X0oX26Ii+2eWlXnuvbGfe1rB20G0epT032YcDGD/+vvXo6rq3clmZQY2hBBCCOma3QCOEZEbUe37uZ+IHOI1VtWZc+owsCGEEEJyWZAraon5UwCvBfAaVK/+b6e0n3lpkYFNAV1YFmVB9stcFiZpARjo1v8Ho63vR4OtO4UYaUZs/1Hz3cSTliLyipVs7Hw2nDuXnc/AtBk5cpJ9/SNn/m3JUhH5KSKh2OspkfbmQkfm4P1cYtZvcy4Zf655TvY1L0pC6jNd3Ld6bwkv3SezzfbYqOprROQfUCUDfAOAswB0UjCbgQ0hhBBCOkdV/wrAX4nIiwC8XVWv6uI8DGwIIYSQXChFzYyqPrzL8RnYkDChbMaOE8o/3oG9KIiVGjzZKGlvMyY7kpAlkTXMcU9ySvo6DqlcWaotPPkl1wmVSlTtzMFt31H26tC5HQnJew0heW9JZGpCIojIgwD8CoAnA3gggJ9V1etE5KUA/kFVPzfr2Msh4BJCCCFkJRCRhwO4GsArUK1d/QCqkgpAVVbhFSXjM7AhhBBCZmABBTBXhTMAfAPAIwD8JJDsFP80gCeVDE4pqsf0Yek5Sea1ca/Tpp1EfKkLpRuJKjJsxEWVyChFLqTpDqkSWaqEXPkp1wkVIeSQynRptUmS+K4l6SvmOuvBvaEH96eFwj02JTwNwMtUdbfsa6n7CoCirMQMbAghhJBcGNiU8F0AvAR8B6Loz0VKUYQQQgiZLzcAONp57icBXFsyOFds5ogUxJFdL/va8Yfm+3U0y0+RNp6clEookWX3sQR9I1v3ZuvPHpu4z9aOVaPfJMn3rHRi/3oybexL8BPoNXZ1kwdGHFLeeSOyVBeUJMTznFBeUj5vTDsHt03AdTVIzjX23nIS8Q1k4PZpnuv0hH6R5HvDwOfetpnnfSKXkvtfL2GCvhLeCeD3RGQ3gPfWx/YXkWcDOAXAL5YMzsCGEEIIyYRFMGdHVc8UkR8G8PsAfrc+/GlUm4jfqarvKRmfgQ0hhBBC5oqqvkREzgbwXwF8D4CvA/gbVf370rEZ2CwhAzQvPUuyJD1o/D5Ztg44npLzBupDuYn4Ao6RttxVkyipG5W2MTKT3QUYSb7nJe4zjkc1c4vIUpaSFe6IsceXgaSxTW4iPpkgFeXMJx2z+2R9sSR7BQn6Mq1d9vM9DNwbxJG0BrPXIlxtuHm4GFW9HMDlbY+7YqInIYQQMie04LGNEZHPisgpIvKALsZnYEMIIYTksrl5uOSxfdkA8HYAu0XkPBH5LyLt1UChFLUgliW51SCgI6SvZcMcd5bdA9ntEkfKaIJzRZvbWReSBJxH6vUNJNDzxnQdUs4NLe3rXDvnT72IRJVLRHKKtE/atOSEsnPwnFaRMcff3gPHzZQ6pKY7ntIxnbpR7ucjUJOti4JgHbAs9zkyX1T1CSLySAC/AOAkAM9FFeS8G8B7VPXGkvGX49NBCCGE9IhNV1TJYzujqjeo6q8D+H4AP41qr82rAdwgIpeWjM3AhhBCCCELQVVHqvohVX0OqqR9Xwbwf5WMSSmqJfqcfC9y3uGg2TXh9nUcVZ7M5LqlzHE1WfUGhbWPknEzk/Wl89v6PpGHEtdSs0PKE9w8ySyZv+2bzDNPoiohtwaTmxAvID9FnFCe6yptM32ensQ0C159Mz8pX0Sete3zZKn0c7z4+0ouK5fEj0xFRA4G8HwALwDwBAB3ATivZMzevYtE5CAReYuI7BaRu0TkShF5/gzjvFFEVESKUjMTQggh+8DNw0WIyFNF5E8BfBXAH6OKR04B8L2qelLJ2H1csbkAwOMAnArgCwBOBHCeiAxU9X2RAeqMhq8G8LWuJkkIIWQbwzw2MyMiN6PaW3MrgDMBnK2qn29r/F4FNiLyTABPB3Ciqm4uRV0iIocDeLOIvF9VJ6ZuE5E1AOegigD/M4AHdjnntslPvuck1XJlJrtMHEnKN72GlJe4LyI/WVfThpv0L11YHJi/dLy6UaMN62za6iuOrGOlHM8hFakhVSRLafOcvWXViETVFtnST4H8lFsTynNCiTPmJKU1Uh8qkigvInfl1pByk2sGiNwP/O+ZxI+0zucA/BKAD037nT4LfZOijgNwB4Dzx46fA+AhqPS3aZwK4BAAv9Xu1AghhJAKuqJmR1WPU9W/7iKoAXq2YgPgSACfV9X1seNXm+fdOhIi8mgArwHwLFW9o8V8P4QQQoihdJ/MNo5sDCLyIAD3GT+uqv8y65h9C2wOBfDFhuO3m+cbEZEBgLMBXKCqH8o9sYgcBuBBY4d35I4DAOIkV+sz6bK7WVYe3dt43HM++PLTdMeTeMnRNL2eVr4JJeuzklDiwjLSFax0YqUu665qbu8l7iuRpSwR51TXRCQnr32J/OQ5oTypy23vupEmJH8MJOVLX8P0c3gykz+/6fLTINPR2DeW8X4JgHtsChGR1wB4Bfzf6zPrm30LbIDJP+5Jz/0KgEcA+JkZz3sKgNfP2JcQQgghAUTkF1BtG/kdAKcDeBMAAfDzAL4D4H+WjN+38P42NEdvh9Rfb294DiLyH1BdnNMA3CMi9xeR+6MK3Ab1//dZ6hrjTFRSl30cm/0KCCGErD4jLX9sX14O4LcB/I/6/xeq6msAHAHg31Fo+unbis01AE4QkbWxfTZH1V+9nDQ/gEqje2v9GOcb9fFf9k6sqreisp7tpY09OmIdBbqYJVdvOdtzM1kiTijbZiQ2KZ+pG+XILKkEZpxJE5L1JbJWwCFlJSorCUVqSNkmdrNfKie1L0sl83GunV2o9epPleDJTJZIQry25Cdxx3Tm5jihJjmWIk6oSFK+SH2otH2z+zDikPJI57b4xH1WcpIllMzGqVLRzP652+ZpbP4jqhIKm7e9/QFAVb8jIr8L4A0A3jzr4H17d10I4CAAx48dPxnAbgBXOP2uBPCUhsdVAG6uv39767MlhBBCloSSBLgisrNOetv0eHDmVNYBQKvI8FsAvs8893UAD80cL6FXKzaq+mER+SiAd4jI/QDcCOAEAM8AcNKmNUxEzkIV7OxQ1VtU9ZsAPjk+noh8E8Caqu7zHCGEEDIzCn+ZNdp//hQnwEVV+uD6sWO3Zc7jf6NK0AcAnwHwYhG5CNUVfQmqBYmZ6VVgU/MsVBuJTke1t+Z6ACeo6p+ZNsP6saTb6dOaKIJmV4OXAMtN3Oe0yU3E5/UN1bNx6kYl0pDnZLKSkeN82qdPpkPKrlF6NaQ8aclL3NeWLDW08zHtI/dOV64qIKIWhGpFtSQ/RRLxRWpCeXJQtJ3nhHLP584jrz6UL2+1k7jP3j8iifjcJH52nN6JAu2hI4UW7JMp6TsLbSTArblWVT9bOJ0PA/hJAO9Btc/mbwF8E9VKzkEAfqFk8N4FNqp6B4BX1g+vzU4AOwNjPbmteRFCCCF7Ka33NP9NNpMS4L4PVQJcN09cKSLyWQCfQKWu/J6q/jsAqOonRORJqAphjgB8UFUvKTlX7wIbQgghhLROUQJcw9/USfX+DVWQ8jpVjRSbfgCqGo6/CmBDRP6x7n8JgE+r6q8ExgjBwGYbkMpbzW4m63gaOgm/vLpRqRPKOpbykvVFHFL79Ml0SFldx8pJw0TVzEvcVyJLDYc2YaDtO12iSnBqV+USKIOULTl54+fKT5FEfPZ6+jKWLwe15YTKTcqXnstzSDV/LoeO/DR0pKJlTOLXR1qUonY0OHD31E7dNpk5AW7NV1FtE7kc1Ybfo1Dt1blcRJ6kqldN6qyqO0Tkodgy9zwZwK8D+DUA6yLyGVRBziUA/l5V74q8qCYY2BBCCCG5aGEumq2/ZC5qePY0ALu8riLyZFQBQITHqOqVm2edNKNJg6jqxQAuNoc+JSIfRJWm5XQE8r6p6pcBnFs/ICLfB+CpqAKdn0JV4/E3AdwN4L7TxvNgYEMIIYQsjmMB3DR2bM+UPjcAeHFw/M2aSzMlwJ2Eqt4sIp8G8MTcvnX/LwH4ExG5EFVgczIqA9EBs4y3CQObJSfilnL7Os6HxAkVqBtlnVC5yfpyHVIT+wTGTcYJJO5LVIS1rfYb67PLUqm0lCdRpZJT8x9Yww6UBq+WUa7k5Lcxxx35abhmf77Nc4gk4pucoK8DJ1RmUr5kPoH6UOn88xLxRdxPxEG1KEGf+WDfpKrX5XXVrwB4V+YZZ02AOw1BpvFdRA4E8BPYkqUeUz91FYC3ALh0xrkAYGBDCCGE5DNCWR6bkr6zcSGqVZ7jAbzfHJ+WANdFRB4O4EkAPhZo+3RsBTI/ikr6+idUktouVBuIv5U7hyYY2BBCCCErTjQBLrBvEtz62McAfAqVi2pz8/CvoQpQXhuYwt+ispufharg9P9S1W+39PISGNj0AG/52F0mDiTf89pbB8X6RnPtJy9JYCozGWkpcSZlJutzakJ57QG/jpTnkFozy+rrcOpXJZKTeQlWcnJkKSsniRlTE4nEJvrbOu45pyyey8mVq1oiUirNrdNU4HgKOafM3FKJaroEtDYcNh6v/t++Eyo3KZ/3WRy69wN7Lqe2lJOAMyJXld2fVpclrRUVSYALNCfBvQbA81BZtu+DqrbiJwC8QVW/EDj3Nags5S9DtWLzSRG5FJUD6s6ZX1EDDGwIIYSQXNpzRc2NSALcut1OjCXBVdVXFZ77P4vIA1BtEn4ygJ9B5YBar3PaXIoqr83/quc5MwxsCCGEkEyWraRCH1DVbwD4QP2AiByCKsh5MoD/CuD/BTASkX9S1ZmcVgADmyCCvStydik5SRxnV+xyj8+OJxt5GQncujKJE2i6nGTJTdaXXetpzNXk1ZGy7Xz5aWtOa+bdv75uL4A5WUCWchPxmWE851TqkLJOMDht8m6GkWR9kaR8llyXU9JmjvLT2pojrzqy1D5jdeGEykzKl8wtt7aUW/+tGU/eKqPkvui9odq5d5LFo6q3A7hARP4ewGUAng3gZ1EV6pwZBjaEEEJILstXK6o3iMj3YGul5skAfrB+agTgs4gnH2yEgQ0hhBCSiWqhFLXNAhsReQ62Sik8Elv5b64C8PuogplPbRbHLIGBTY8pSr7n9E2S7zmOCysnWTfFSJtlrIGx+QxM1XtXohIr6eQ5pMb7eA4pu4ptZSArT6ybFFW5slRas6m5tpQnISXOKa92lVcfypGBXOdUgaJQVDcqU3LyzuvWfsqUn9Lj0QR97Tuh/DpQtq/zObO12hyZyasPZclNxMckfqQl3o/qZnktgLehCmQuVdVvtn0iBjaEEEJILsuXoG/RPAfAJ1X1tq5PxMCGEEIIyUQLSypsNylKVf9yXudiYNMDcpPveX09iUqc5Wk3aZet65SZrM8eXxvuv/f7DSNRlTik9v1/83L7+vrW+dbWhs7x2WUpW1tqaOQnESuT2fZOIj4rzYyapRmn1BVG2ixddcHAydbnSlG5iftsrsRBO/KT337YeHz8ueHQGaslJ5T9fHgSUm5SPi8Zp20fu0/kyUzbMUFftWJTEJxsvxWbudHx7ZAQQgghZH5wxYYQQgjJZQkzD28XGNjMEbGShVksU5NAzuLJQNaNYHt6TqiQQyqQrG9o3U/iuDg6cEhNepPa5HujUbPcYOWnpJaOsRJFZKmRuYmNzLytm8m8tMTNlEhURpoIJeJrnnIigXloYLk7NxdbRGby2pdITr4EFHE/NR+375NqftPrS60NHRmoCyeUJx0HkvIlxwN1nTyXk3tfCbxx7H1OViyxHvfY9BdKUYQQQghZGbhiQwghhORCu3dvYWDTMRHJKW2fW9PFS77XXDfKX5KOyEZW0mmWqCIOqVzWx/7vJe/z3EyJpGB+HiNz3HNLWXlr3fv5JQn07GHrWmpOyue5qBCQqyxuBtSCNVlPWkqG92SpgOSUjpMnP1lpKNf95NWAqvo4DitH1rKyVCpXbb0Z9xvuZ45nOqEcWSqSlC/iVIocj7icIvettP0KiAWFmYe5x6Y7GNgQQgghubBWVG9ZgbCZEEIIIaSCKzYdYHf/ezG555CylCTfG6HZ7TAqSdan02WsiEMqGSczcR+wr5NlE6MmJbKUxTqvvCR+1v1k5ae15DpaV5SR4jznlHpJ+ba+9xxMVq7y0IBslIuTky9hvNbS3r6Oyynpm+l4akuWEie53/j5EpkpIGt5ifhSx1OeE2rgyVIFSfns/cC7f5Qk8ct1Qi2rW0pHhUUwS2QsMhEGNoQQQkguzDzcWyhFEUIIIWRl4IpNS0TcT2KWelW9pHwm+Z5ndAk4nqC5DinrIrKOp2aHlHV6jGwivoBDyo7jHXfUJgAxx5MnS9m+XhI/G+6n8pN5bUbSss6pkERlXV1D03fQ/AOXwF92kUR8uUQS90VkJq99ruTkJtwrkJ/Gk8ytefWhnP6JDOY6laY7mDwnlP2c+Yn+piffs7R1PLeNZCb06zuKwgR97kYFUgoDG0IIISSXUWFJBe6x6YzlCY8JIYQQQqbAFZsCQvJTwCEFxxXg1XHRkuPiHTfuJNeV0exs2q8g+Z7HvVYZGnMFeY6n1ME0XZYaOX8xjUZWTrPSkk2aZ91Ps0tU6Xmd+QRcUZ6MVYInJyVt3PpQ3nu6fcnJcyMNXVmp2fk03i5JuOcm7muWjWwivvT4fub4/lOPR5xQ6XymJ+iL1JHLrztnaccJ1XdZSkcj6MbsGrCOuHu4KxjYEEIIIZnQ7t1fGNgQQgghmeiGlq3YeO4QUgwDmw6I1Yeyy6xWBmp2Rdkl5g3H2eS1jyXra5aWRsZu4zmkUhmrncR9Wwvz+7K+sVU9ypOlPGlmZBL/pbWfbHIyK21Yaal9iSqZmyM5edJV0qaDv/48OSlp4zhdIhJVW5KT5NaWcpxT+z7XLPF4daBaS8QXqQk1aP68ekk9I0n5LL5DKq99ZBtn3yUnsnwwsCGEEEJy0VFaoXaW/qQTGNgQQgghuWxomZxEKaozGNjMFaeujiNdCZqXd716Ld7xRPoJOadmd0glCfqc487LSlg33w/GkhmumbetJ0t5ifhGzl9YkcR6XUhUyRw8+cyRrpI2AedULiEpKjtBX7eSk+e6ShPv2ff0eB2y6fKTJzNFHE+enDT05Ko5OqEi9xWLe39ypaXlrAlFlg8GNoQQQkgmqlpk2S7JWkwmw8CGEEIIyUQ3CvPYFPQlk2Fgk4mXcM9PxNfsfvLHme46sNJS6uuJSEt2nDyHVGuYSdt6UtFz2T7Jcaf+lpWBrMRl3/yJhGScU11IVDCyyEhte+cvOLPi70lpnrw3CvxVGEnEl7QfTHexeDKT26YlySkiaXn1oKrnvM9Bs/vJTazn1IGKyFVJm0EgiV/ACRVxXQ2cN1EkKZ933/IT8eW1jyT0mzujws3DTNDXGfTZEUIIIWRlYGBDCCGEZFLtsSl4zHmPjYgcLCJniMhHRGSPiKiI7Moc4zARebeIfF1E7hSRy0TkaR1NeWYoRc0R3/3ULEsldZ0QkJbM96NM50NExrLOjZLEfWuObHLvxj17v58kS1k5ySbys/Wl7DncxHdGthhFXE4tSVTJHEbNbjG3blTAqdQ1EWkpPe7IDh1LTl6bRG4am3Nb8pMnM5Uk4huGkvvN7njyx5l+LosvJ63W39FLmHn4UAAvAXAVgA8AeFFOZxE5AMDHAdwfwCsB3Arg5QAuFpGjVfXSNidbAgMbQgghZPW5BcADVFVF5IHIDGwAvBDAkQB+XFUvAwARuQRVoHQGgCe0OdkSViuEJoQQQuaA6qiq8D3rY86Zh7WmYIjjANywGdTUY64DOBfA40XkoaVzbAuu2HTCdLlAzPKuJm4eu9xupZ+8ZH3W8aQRySngkBoEZKb9Asn3rGQ0cFxRUVlq5CyHb6hxHrkJ8ZolpC4kquS8jlxlMWqJq8W7DqkOiMhJft9mSShp04Hk5ElaXrI9YNzBtH9ju4j85Mk3+yXup/0bj+fKQCEnVObxSFK+VIpy5CenttT4qEvJxqh6lPSv2NHwOdqjqrfOPngnHAng7xqOX11//SEAX57fdHwY2BBCCCGL46KGY6cB2DXneUzjUAC3Nxy/3TzfCxjYEEIIIbmMAPVyTwX71xwL4KaxZ/dM6ioiTwZwSfBMj1HVK+MTm8ikF9ybVMoMbArwk/LltbFbncS0UjQnnPOS9amzVJ06pAbOcSdR1yAvQd+6lZlMPak1TB/HS7C34RwH/GR9tr5UJKFfxOWUK1HZn2uSiC9J1mfnM126sgyH05f53aR/hkhNqNy+A0eCKEnclys5pcenu52i7bzaT577yZOfvDpQbhK/gTnvoDlBn+94GjjH8yQqj9TxNP19GUm418ukfAYdFWYe3rpv3KSq12V2vwHAi4Nt/yVzbI/b0Lwqc0j9tWk1ZyEwsCGEEEIy2dwEXNJ/5r6qXwHwrpkHmI1rABzVcHzz2LVznMtE6IoihBBCyDQuBHCEiOy1dYvIGoCTAFyhqrsXNrMxuGLTGs01oSypLCXOcdu+eanaS9bnSkvG8bRmpSX7B4Odvjm+ji13UiRxn8e9ZhxPlvIS7O1zOZPke82xeeqKynNO5UpUSe0nK11ps1zlJ+Jrlq7cOlARfT/gUosQkatKEvd5MpM3TkRysuNH3E77tmuWotqSn7w6ULmJ+NZkaxwrUa2JmYOVrkLJOwNurFC9p+b7nM8S/a09UqAkyV7J/pwZEZFjABwI4OD60KNF5Nn19x9S1TvrdmcBOBnADlW9pX7+bFQJ+c4XkVNRJeg7BcAjARw9p5cQgoENIYQQkklVGqFEilrIXtt3ADjc/P859QMAHg7g5vr7Yf3YG42q6t11+YQzALwNwH0BXAngmD5lHQYY2BBCCCHbAlV9WLDdTgA7G45/DdVKTq9hYNMBXk2oWN9mucpL1lfmkAr0dRL3rWW6pSwRWcpLSAgAg9F0mSmdt0kmOLCy0dZrXjcJAUPJ/axcNZpdrkpdUZmJ+EokKodch5SXuC9flsqTmbw5RCQnrxbT+LndhHuD4dQ2JfKTdT/Zz1lJIr4SJ1QkKV+Jg2lZa0i16IoiLcPAhhBCCMlkka4oMhkGNoQQQkguGyjbPJy3mE8yYGDTMaksZWoEWf+Tcd7YukBJG/N9Ww4pz+Vk+3ouKuuWShwamavKkeR542zYuQaS+lnnVK5ElUpOW9+XyFXZSfmcRHyu5NSSE8oSckUVJevLk5kGA+f9HWrfLCuN9/EcT0MnWZ+b3M8Z05OfPAnJup9cicpzM3XghPKS8tn6UG6bJZWfyHLAwIYQQgjJRcukKMy5uvd2ondhs4gcJCJvEZHdInKXiFwpIs8P9HuWiJwnIjeKyHdE5GYRea+IPGIe8yaEELJ90I1R8YN0Qx9XbC4A8DgApwL4AoATAZwnIgNVfd+Efr8O4KsA3gTgiwC+H8BvAvgnEXniDLU4lgLPsZDrkPIlpy2SJXXrZkqS+xnHUyBstrWl9jOqgJV6xknqXTnuKc85lStReYn+7AcnIlelSfmmS1chx1MHklOEWLK+6dKSJSIzeePkSk5DR34ZbxdxRXl1o0rkpzTJXnNNqFSiCrioCpxQhCwbvQpsROSZAJ4O4ERVPa8+fImIHA7gzSLyflV388VPq+qtY+N9AlXCoVcBeFFH0yaEELLNUC1M0OekdyDl9E2KOg7AHQDOHzt+DoCHAHjCPj1qxoOa+thuAF9CtXpDCCGEtMOGlj9IJ/RqxQbAkQA+r6rrY8evNs//fXQwEfkBVOmjPxBoexiAB40d3gFUyae2dvEbB5NxM0kSfRsZyE1iNb1ulNfGW57PdUhZOcl1OdkTeJKTI0sNnMU1b/5J4sGR74qykpCVb6xccO/Gvc1tMiWqNWwt81sHky85mfaOuyqVpezr3A9NbIQkqvb1ek82sgydn2U6jiMnOW4mb3xPZvLO5UlOk6Su/Zz6UN5cbcI9b35uEj9HNvLkJ68OVMRFVeKEiiTli9SHirUxP1fHXUVHFZlG3wKbQ1HtjxnndvN8iLrq6FmoVoB+P9DlFACvj45PCCFk+8IEff2lb4ENkBa4znluLyIiqIKanwBwvKr+a6DbmdhXAtsB4KLIOQkhhGwfdEOh6wWBDaWozuhbYHMbmldlDqm/3t7wXEId1LwLwEkATlbVUGBS79EZ33wc6VpMuvyam6xv62ikhhQS95ORn6y7yG0zfRxP3rLL7l5SPXt8w5EagJhrycoCVu6xctJGcrzZ2ZS0TySh/aa29yQnbxyLlZa8D2nERdUWnnyYtMmUrnyJyk+g1zhOQGYaBhP0hZL9BRxPadLK2WUjKz95Dqa22ngOy7KkfKsLa0X1l769A68B8KhaRrIcVX+9dlJnE9S8AMCLVPXc9qdICCGEkL7St8DmQgAHATh+7PjJAHYDuMLrWAc170QV1LxUVc/papKEEEK2OesjaMEDBTIWmUyvpChV/bCIfBTAO0TkfgBuBHACgGcAOGkzh42InIUq2NmhqrfU3f8AwAsBnA3gGhF5ohn6blX93LxehyVdljUyUyItNUszMRdVs6vBc0jZ02qyXG4kJCMtJZKTYWSdQJ4TynxurXwkrhTV/Fr2bdfsnopIVJ6Lyo65EahflchPzlwj0lU6frOMlbQJuKi6xpOHkjYB15LFc1dF3Ux7xwlITpPcWJ7klOt4cmUgJzme75CansTPG8dPxJdXEyrmcvJYXWeTjrRQiuIem67oVWBT8yxU2YNPR7W35noAJ6jqn5k2w/phP1k/XX/9hfphuQXAw7qYLCGEEEL6Q+8CG1W9A8Ar64fXZieAnWPHHtblvAghhJBN9kpKBf1JN/QusFlWJJGK7DJrgcxklow9h5QavSepA6UBmckm1nMcTK4slTihtrCZFT0nlHVL2TGtjOVJRtVzW6/53o17zPE8iSqSTC91PBn5w3zruauS5H5WQho0J/3ziLioFkUoQV+mLOW5mbwxozLT3jHd5HNlkpOfBC8vaV5b8tNQmuecyF6OEwqO3O05odqTq+bjRG0D3SgMbFgEszMY2BBCCCGZVHtsZt8nwz023bH8O7gIIYQQQmq4YjNXvGVWuxRrZSbjJHKkKziuq1SWQuNxS1JPyhyPyFKuEwp2qd1r0ywZWefUeM0p39nULCdtOAn0Ri3JVWu5jifDxoSaWE3nKsHOLeJsihBJ3BeRk5LjbdWWCriaxueWSkuzS075ifKm15CKyE+ROlC5ifgi0pInV423WiV0vTDz8DpXbLqCgQ0hhBCSS2HmYTDzcGdQiiKEEELIysAVmwJSJ5Q9buPF0dQ2nuQUc0iNGtsPxXPPOE6oZMbD5jYBl5PXJpLQL2nvSFSAL1N550tluWaHUUSusvNOpC43Ed/0v8jculktJeKLJP3zJKFcIhKS3zffwdR03kkyU9M446+9Lckp1/GUW0Mq4n7y29jj9r3lSU55TigkLZp/rqm8Nb1NH6Erqr8wsCGEEEIy4R6b/kIpihBCCCErA1ds5khMfvLaj5z2nqOqOXFfSrMs5bVJnU1WxjLyk31d4jibAs4pT2IaP4fnpLKvWF25yrqrHLeY466y8pDnePIdUtNlpo0CJ1REAvPwJKEIsWR90+WktL0jUQXqRuW6mibNNVdyKnE8uZJTwFEVkZ+yE/E5jsxcCWkV6kNZtHDzsHLzcGcwsCGEEEIyYUmF/sLAhhBCCMlENwr32BRkLSaTYWCTjbNT3y6ZJzKCVzeqeUlX4TmeTM/kXPaD5SXuM0ddo4FdtjaOJ5uUz04iUOPJcznJcGspPCITjUs9dqxQf2mWqGwbb5xEchrkJd/zHE+xpHyz3zA9CSxCSeK+iLsq4lSKjOm3n+5kStqPWcVKZKb8vh3IWxHJzMq/gUR84vwMXOcUmp1TKc57xX0P9dshRfoFAxtCCCEkFybo6y2rtZuLEEIImQObe2xKHvNERA4WkTNE5CMiskdEVER2ZfTfWfdpejy4w6lnwxWbDvBdTs1Lt75DarrjKZWl7Cw8OWyLobPsa2tLRRLu5TqbXIkq6ooKnDvkirLXyPxokuPJeZulK6+N53jyJK10nHZuepE6U5EEehEiUlQoWZ/TZhZpqal92BXVM8kpIi3Fku958pOdj5eIL+Kcsj0jbSgzzYlDAbwEwFUAPgDgRTOO8wIA148du232abUPAxtCCCEkEx1pod177puHbwHwAFVVEXkgZg9srlXVz7Y4r9ZhYEMIIYRksmx2b7W1eFYcBjYFeAn3/DaW6Q6pJJOdK2PNLkvZvkOnho2VMsSMY51T85Soxvtb/LHs8rxp77irvDETucpr77wP3DEdvPn0mUmyziYhKSogJ0WOe/JO2jdWKyoy7qIkp7TNdAmpRH5ynVOZTqhIsr6+J/RrsVbUDpF9rtkeVb115sG75W9E5EEA/g3AJwG8TlWvXeyUUhjYEEIIIYvjooZjpwHYNed5TOOrAN4E4HIA3wJwFIBTAVwuIk9S1asWOTkLAxtCCCEkEx2VJdkz/oBjAdw09vSeSX1F5MkALgme6jGqemV8Zs2o6sUALjaHPiUiHwRwDYDTUb2OXsDApiUSN5ObrK+5vScPpdhl3FHj8ZgsZRMAWgdW6t/aZOgskc9TohrHk5xyXVFpvafM5HuO5BSRkCJSVKRN3yhxPFk8SSsqJ00712yuqEhtqv5KTp6DKVd+8jOERPp6XTPb94VSy/ZW35tU9brM3jcAeHGw7b9kjh1GVW8WkU8DeGJX55gFBjaEEELIEqGqXwHwrkXPo0YA9y/yhcDAhhBCCMmE1b0BEXk4gCcB+Nii52JhYNMxvuRk2zg1oRyHlBbJUgXjwC6jw8Eul+dJVBArDW2dd1z2yXVFeW4mO64nXXnju8n3QjLT9BtaxF3VNzypKGkzxyR+SXtH3pk0br4rarokFpGcvL59kJ98JxQa23hOqKWSnBx0XaHDErv3/N3XInIMgAMBHFwferSIPLv+/kOqemfd7iwAJwPYoaq31Mc+BuBTAK7G1ubhX0P1a+u1c3sRARjYEEIIIduDdwA43Pz/OfUDAB4O4Ob6+2H9sBHoNQCeB+DVAO4D4FYAnwDwBlX9QndTzoeBDSGEEJJJi3ls5oaqPizYbieAnWPHXtX+jLqBgU3PkIAMVCZL2aVtU39KbWA+u3PKEnFR2YR5NsmhK1cBrmQVcUVZfCdU3vGkTUBCyk2+12eHVG6dqVASv5Ck1X4Sv0nzKJGZYu1L3EZ5klM6eon8NF2WWmW4x6a/MLAhhBBCMtENhQ5KVmy2TYWDubP9wmxCCCGErCxcsQkg9b+KTKnIJp9STyqy58pzJ6XpAxIBJpn/1lEjPznOqUSUypaoLNMT/VkiclV1vrakpeVLvtcHWSpXfsrt24ckfpOey5WZ0r55Uk6+5JT2bho/MmbunLOdUE5SvvxzLQ7VUcjhOKk/6QYGNoQQQkgmI1WMCgpml/Qlk6EURQghhJCVgSs2CyI3cZ8vSzXLTxHnlO3blkRl8eSq9Lxb57Jy1dA4n/z6Wak0YyUr73hMxlq+5Hu5TqsIEQdTLr1I4jdhDtmuqkw3U9pieg2m9iQnS54MlJ6pQH5aMUYYYaNAThr1qwrBSsHAhhBCCMmkkqIKAhtKUZ3BwIYQQgjJhHts+gsDmw6IOKRszaZcWSokIcGRkFx5yJ4r4HgSu4Td3MbKVekcmt1VcNsMx56z8lWzFBeVsjZpy83kSV0lYy472Un8ChL05baZnFgu4hKyx/Okn6RvpszknzcgaRUlA7Rkyk8hJxQh5TCwIYQQQjKh3bu/MLAhhBBCMuEem/7CwKY1Ml1CBbJUOmazc8oSk6imJ/pDQA5LJ+ct5dv2ZpzkOtgZpOOnUsX0G4s3P1/SSltttWl2S3lj5rJKslRJEr98aWK68yZfPhonr39EWkqPdiBvde7Yml1+8lldFxWZHwxsCCGEkEy4ebi/MLAhhBBCMlEU7rFhHpvO4HZ0QgghhKwMXLEpQJI9MM3Rt9emZL+NJbWEW3L33ngFNO1RT/+evqcobe20l+aMxPuO0rxHJ2nh7NeJzCOl5C+yvKXmgbOHp89/2bVl1S3LUDt9DtHx/b0x6WjNR0vmkbmHJ7B/JtI+dy9NZG6RfTWxa9Xvv7s3tCzzcElfMhkGNoQQQkgmqmX7ZLjFpjsY2BBCCCGZjArz2JT0JZNhYNMJzdbvbFnKjuh+CGaXqEKW7XQWzlHPTu21t208GSvP0j0+llfAcbLE1dxjVvqQgCvyc+1DocKYBOT2zmwdO1fsurQjg7UlLcXO277kFGmf+xoJmRUGNoQQQkgmXLHpLwxsCCGEkEy0MI+NcpNNZzCwycQrEOk7pKbLUinNUbwrUSWNIjJT3nk96So5bUBO8l1j6UjN+FlsI9LSpIKa0yn4q8pMKNchtR1oTwKbXcYKu6XmmA05bTO7HFY0fkAaLHE8tZeBmZB9YWBDCCGEZDJCYa0o/rHTGQxsCCGEkEyYx6a/MLDpgJgsZZldokpGyZSr0jaezBRZVp4+t1lcTltz8P+y8eed637yz94lfU6+1xbdJ1prT6bInWu+RJI7fnvJB7c6dO3kSlu1M07/0MLNw31wTa4qy/mOIoQQQghpgCs2hBBCSCajwszDI26x6QwGNgV4Dqm0zfQ6Te05KLzxbaNcZ9N0RHOX4/MSA0ZH92tflbAcy8VduK6Wx4nSzcJzL+pgFSQuzD1vF86vkvH7/v5jHpv+QimKEEIIISsDV2wIIYSQTLh5uL8wsGkJb9k0V6LyyHXP+FLM7JKTh8rsvSM9ozJLe/KTPTlvPr2nqM5U4ak7lku6cQy1M+deSHULZITCPTbtTYWM0TspSkQOEpG3iMhuEblLRK4UkecH+x4mIu8Wka+LyJ0icpmIPK3rORNCCCF9RkSeKiJni8j1IvJtEfmyiFwkIo/NGGMpfsf2ccXmAgCPA3AqgC8AOBHAeSIyUNX3eZ1E5AAAHwdwfwCvBHArgJcDuFhEjlbVS7ueOCGEkO3BSEfYKFh3WcDm4ZcBOBTAWwH8M4AHAfhVAJeLyP+tqp+Y1HmZfsf2KrARkWcCeDqAE1X1vPrwJSJyOIA3i8j7VXXD6f5CAEcC+HFVvawe7xIAVwE4A8ATup19M32oh9M9XS/HLxChJ7P/LKeUEaHPyeuWVUJqi5GOMFquwOblqnqrPSAiFwO4EcBvApgY2KCnv2Ob6Nun5jgAdwA4f+z4OQAegskX7jgAN2xecABQ1XUA5wJ4vIg8tOW5EkII2aaM6ureJY95Mh7U1MfuQLV68/2BIZbmd2zfApsjAXy+vliWq83zk/pe3XB889gPFc6NEEIIWRlE5LsB/AiA6wLNl+Z3bK+kKFT63xcbjt9unp/U9/aG45G+EJHDUGmOliMA4KabbprUlRBCyIIw9+f953nePfrv0IJVl6/jjs1vd8i+ztI9TSssHfCHAA4E8KZA26LfsfOkb4ENMLnq4LR3UUnfUwC8vumJ5z73eVO6EkIIWTBHAvjcHM7zDQD/fjYuP7iFse4BcFHD8dMA7PI6iciTAVwSPMdjVPXKhjHeAODnAPySqv5jcKyS37Fzo2+BzW1ojvoOqb82RYtt9AWAM7Hv3p6jAJwH4NkArp/SfzuyA9WH8lgAXNZqhtdoMrw+0+E1mswRAP4ClYu2c1R1t4gcAeABLQw3QHNKmz1T+t0A4MXBc/zL+AEReT2A1wD4LVV9e3Cc0t+xc6Nvgc01AE4QkbWxfTZH1V+vndL3qIbjkb6bG6vGd4xvfnu9qkY0yG2FuT438fo0w2s0GV6f6fAaTcZcnzsmtWsTVd0NYPe8ztdw/q8AeNcsfeugZheAXar62xldi37HzpO+bR6+EMBBAI4fO34yqjfRFVP6HiEie51TIrIG4CQAV9RvREIIIWRbIiKvRRXUvFFVT8vsvjS/Y3u1YqOqHxaRjwJ4h4jcD5W//gQAzwBw0mYOGxE5C1Wws0NVb6m7n40qWdD5InIqqtWXUwA8EsDR830lhBBCSH8QkV8FcDqAiwF8UESeaJ9X1ctN26X+HdurwKbmWah2aJ+OSru7HsAJqvpnps2wfuxdg1TVu+vUzmcAeBuA+wK4EsAxfcqISAghhCyAn66/PqN+jGOtWUv9O1ZK7GqrTm0BPwXAmXOy3i0VvD7T4TWaDK/PdHiNJsPrQ8ZhYEMIIYSQlaFvm4cJIYQQQmaGgQ0hhBBCVgYGNoQQQghZGRjYEEIIIWRl2JaBjYgcJCJvEZHdInKXiFwpIs8P9j1MRN4tIl8XkTtF5LLaArcyzHp9RORZInKeiNwoIt8RkZtF5L0i8oh5zHuelLyHxsZ5o4ioiPQma2cblF4fETlWRC4VkW+JyLdF5DoReUmXc543hfehp4jIR0XkVhG5Q0SuFpFXiMiw63nPCxE5WETOEJGPiMie+nOyK6P/yt+rSTPbMrABcAGq5EOnATgGwGcAnCciJ07qJCIHAPg4gKcBeCWq2i1fA3CxiPxUpzOeLzNdHwC/jiq3wZtQ5Ul4DYDHAPgnEelNSfuWmPUa7UVEfhjAq1G9h1aNma9PnfzrAlQp2p8L4GdQ1XKba/XmOTDrfehoAB9DlYfsxQB+FsAnAbwVwO91N925cyiAlwA4AMAHcjpuo3s1aUJVt9UDwDNRVSE9Yez4RwB8GcBwQt9T6r4/Zo6tAbgOVUrphb++BV+fwxqOPQRVBdt3Lfq19eEajb1vPofql9EnAVy76NfVh+sD4LEANgD82qJfR4+v0bkA7gJw4NjxvwXwb4t+bS1eI8FWSpIH1tdrV7Dvyt+r+fAf23HF5jhUxdLGK3mfg+qX8BP26ZH2vUFVL9s8oFWxznMBPF5EHtryXBfBzNdHG5JjaVU/5EsAvr/FOS6akvfQJqeiyqz9W+1OrReUXJ9fBHA3qsymq0zJNboX1R8L3xk7/k1UAc9KoDUzdt8O92risB0DmyMBfF7T6uEAcLV5flLfqxuObx5bBbml5Prsg4j8AIDDUf2ltCoUXSMReTQqme5lqjq3isRzpOT6/CSAzwM4XkRuEJENEfmSiPyOiKySFFVyjf4IlSz3ByLyEBG5v4j8PKpf5me0P9WlZDvcq4nDdgxsDgVwe8Px283zXfRdFlp7jXXl17NQ/WX6++VT6w0zXyMRGaAqJneBqn6og7n1gZL30EMBPALAH9SPowG8G9VepHPam+LCmfkaqeoVAJ6KKpD5MoBvoLo2v6Wqv9vyPJeV7XCvJg59LII5DyYtb05b+izpuywUv0YREVRBzU8AOF5V/7WNifWIWa/Rr6D6xf0z7U6nd8x6fQYADkZa+PYSETkQwC+LyOtV9ca2JrlgZrpGIvJYABcCuALASwF8G1Wg80YR+S5VfUOrs1xetsO9mjSwHQOb29AcrR9Sf22K8tvouywUv8Y6qHkXgJMAnKyqF7U3vV4w0zUSkf+Aqmr9qQDuEZH710+tARjU/79bVcf3TiwbpZ+xB6PaCGv5MIBfBvAjAFYhsCm5Rn+IyuFznKpu1McuEZERgF0i8l5V/WJ7U11KtsO9mjhsRynqGgCPqmUSy1H110n5RK4x7XL7Lgsl18cGNS8A8CJVPbf9KS6cWa/RDwC4Dyon1DfM40kAHlV//z9an+38KXkPNe2LACqHDACMSibWI0qu0Q8D+EcT1GzyGVT39Ee1MsPlZjvcq4nDdgxsLgRwEIDjx46fDGA3quXdSX2PEJG9joX6xnQSKgvh7pbnughmvj51UPNOVEHNS1V1lfZEWGa9RlcCeErD4yoAN9ffv7312c6fks/YX9Zfjxk7/kxUQc1n2phgDyi5RrsB/GhDMr4fq79+qZUZLjfb4V5NPBbtN1/EA1WuiNtRJbd6CoD/D5Xm+nOmzVkA1gEcbo4dgCrS/xcAJ6La2HgBKvvlTy36dfXg+rytbncWgCeOPR6z6NfVh2vkjPVJrFAem8L30H4A/hGVdfkV9Wfsd+p2b1v06+rJNfqlut2HUCWee3p9je4F8NFFv66Wr9ExAJ6N6o8lBfDn9f+fDeC+E67RtrhX8+G8bxY9gYW86OovpbcC+AqqnBlXAXj+WJt31x+kh40d/x4A70Gl4X4HwGUAjl70a+rD9UG16qDO4+ZFv64+XCNnrFUMbEo+Y4egsjR/FVW+lhtQuaIGi35dPbpGzwLwdwD2oHIdXosqhcCB85r/nK7RpHvKw6Zco5W/V/PR/NjM6kgIIYQQsvRsxz02hBBCCFlRGNgQQgghZGVgYEMIIYSQlYGBDSGEEEJWBgY2hBBCCFkZGNgQQgghZGVgYEMIIYSQlYGBDSGEEEJWBgY2hBBCCFkZGNgQQgghZGVgYEMIIYSQlYGBDSGEEEJWBgY2hKw4IvJdIvI5EblRRL7bHH+wiHxVRD4pIsNFzpEQQtqCgQ0hK46q3gXguQAOA3A2AIjIAMB7AQiAE1R1Y3EzJISQ9lhb9AQIId2jqv9bRF4E4P0i8koAhwB4MoBnqOpXFjo5QghpEVHVRc+BEDInRORMAC8CMATw26r62gVPiRBCWoWBDSHbCBH5UQCfAXAPgO9T1T0LnhIhhLQKAxtCtgkiciCAz6LaW/c9AC5V1WMXOytCCGkXbh4mZPvwRwD+A4BnAXghgJ8RkVctdkqEENIuDGwI2QbUG4dPAvByVb1OVf8SwNsB/E8RefxiZ0cIIe1BKYqQFUdEjgJwBYA/V9Wd5vgBAP4XgEMBPEZVv7mQCRJCSIswsCGEEELIykApihBCCCErAwMbQgghhKwMDGwIIYQQsjIwsCGEEELIysDAhhBCCCErAwMbQgghhKwMDGwIIYQQsjIwsCGEEELIysDAhhBCCCErAwMbQgghhKwMDGwIIYQQsjIwsCGEEELIysDAhhBCCCErw/8BuvqlgV6HHCMAAAAASUVORK5CYII=\n",
          "text/plain": "<Figure size 720x480 with 2 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "e834cef1776147b3be01e361676713d2": {
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     "e8db084d242d43d5b15733858dc233d0": {
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      "model_module_version": "1.5.0",
      "model_name": "FloatSliderModel",
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       "continuous_update": false,
       "description": "angle",
       "layout": "IPY_MODEL_bc69e3ff17194c499eb69d219c2effc7",
       "max": 1,
       "step": 0.05,
       "style": "IPY_MODEL_687df4f3c6ed473eb3cac6cf2eefa7e4"
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     "ec28a4c1d1454944a328a709dbad86ef": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
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     "ec803417c4f748ada560ac90b3c0ccf5": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "FloatSliderModel",
      "state": {
       "continuous_update": false,
       "description": "angle",
       "layout": "IPY_MODEL_ec28a4c1d1454944a328a709dbad86ef",
       "max": 1,
       "step": 0.05,
       "style": "IPY_MODEL_5bde2703f711418e9544f27a0baf2d1f"
      }
     },
     "ec87a659e8a8453c8f1d8cd9677c1304": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "ee6668fcb8914b479640cd0ca5fe273e": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "DescriptionStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "f28e6accecf74eaea32330a7c3f9799a": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "f610dc78173f45b99608d81822028bc9": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "f6c551de057646928c473eaea5134f61": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "f79f2b78de624d57babbb158b1e976fb": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_4a8d0c0f06454fb999fcd1a9fc937e89",
       "outputs": [
        {
         "data": {
          "text/latex": "\\begin{equation*}0.00\\lvert {1}_{x}\\rangle +1.00\\lvert {2}_{x}\\rangle\\end{equation*}",
          "text/plain": "Wavefunction(['x'], array([1.2246468e-16, 1.0000000e+00]))"
         },
         "metadata": {},
         "output_type": "display_data"
        },
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "<Figure size 720x480 with 1 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "f7ef75295b8d41e5bf68352d2f2d1012": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "f808cedbf962484faed0309776566f5c": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
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