Classical_and_Quantum_Probabilities.ipynb

{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "view-in-github"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/MonitSharma/Learn-Quantum-Machine-Learning/blob/main/Classical_and_Quantum_Probabilities.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "1lQtyouITBK6"
      },
      "source": [
        "Probability theory is a cornerstone for machine learning. We can think of quantum states as probability distributions with certain properties that make them different from our classical notion of probabilities. Contrasting these properties is an easy and straightforward introduction to the most basic concepts we need in quantum computing.\n",
        "\n",
        "-------\n",
        "\n",
        "Apart from probability theory, linear algebra is also critical for many learning protocols. As we will see, geometry and probabilities are intrinsically linked in quantum computing, but geometric notions are also familiar in dealing with classical probability distributions. This notebook first talks about classical probabilities and stochastic vectors, and introduces quantum states as a natural generalization.\n",
        "\n",
        "------\n",
        "\n",
        "Throughout this course, we will assume finite probability distributions and finite dimensional spaces. This significantly simplifies notation and most quantum computers operate over finite dimensional spaces, so we do not lose much in generality."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "LGnGN7S2TGAw"
      },
      "source": [
        "# Classical Probability Distributions\n",
        "\n",
        "Let us toss a biased coin. Without getting too technical, we can associate a random variable $X$\n",
        " with the output: it takes the value 0 for heads and the value 1 for tails. We get heads with probability $P(X=0) = p_0$\n",
        " and tails with $P(X=1) = p_1$ \n",
        " for each toss of the coin. In classical, Kolmogorovian probability theory, $p_i /ge 0$\n",
        " for all $i$\n",
        ", and the probabilities sum to one: $\\sum_i p_i = 1$\n",
        ". Let's sample this distribution"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "HzJY16lES6nI",
        "outputId": "9256c25c-3a5e-4de9-f7b1-39155f662f60"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "[0 1 0 1 0 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0\n",
            " 0 0 0 0 1 0 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0\n",
            " 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1]\n"
          ]
        }
      ],
      "source": [
        "import numpy as np\n",
        "n_samples = 100\n",
        "p_1 = 0.2\n",
        "x_data = np.random.binomial(1, p_1, (n_samples,))\n",
        "print(x_data)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "_sw8DainTj96"
      },
      "source": [
        "We naturally expect that the empirically observed frequencies also sum to one:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "46BQfIuFTiSy",
        "outputId": "e54213d4-f848-4d6d-8a6f-053db0b90d7e"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "1.0000000000000004\n"
          ]
        }
      ],
      "source": [
        "frequency_of_zeros, frequency_of_ones = 0, 0\n",
        "for x in x_data:\n",
        "    if x:\n",
        "        frequency_of_ones += 1/n_samples\n",
        "    else:\n",
        "        frequency_of_zeros += 1/n_samples\n",
        "print(frequency_of_ones+frequency_of_zeros)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "b-CauYwGTosE"
      },
      "source": [
        "Since $p_0$\n",
        " and $p_1$\n",
        " must be non-negative, all possible probability distributions are restricted to the positive orthant. The normalization constraint puts every possible distribution on a straight line. This plot describes all possible probability distributions by biased and unbiased coins."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 271
        },
        "id": "iWfsVBjZTmu1",
        "outputId": "4b97afbd-9841-439b-b8a0-5b6154ef3b58"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x12e0da810>]"
            ]
          },
          "execution_count": 3,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "%matplotlib inline\n",
        "p_0 = np.linspace(0, 1, 100)\n",
        "p_1 = 1-p_0\n",
        "fig, ax = plt.subplots()\n",
        "ax.set_xlim(-1.2, 1.2)\n",
        "ax.set_ylim(-1.2, 1.2)\n",
        "ax.spines['left'].set_position('center')\n",
        "ax.spines['bottom'].set_position('center')\n",
        "ax.spines['right'].set_color('none')\n",
        "ax.spines['top'].set_color('none')\n",
        "ax.set_xlabel(\"$p_0$\")\n",
        "ax.xaxis.set_label_coords(1.0, 0.5)\n",
        "ax.set_ylabel(\"$p_1$\")\n",
        "ax.yaxis.set_label_coords(0.5, 1.0)\n",
        "plt.plot(p_0, p_1)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "06-RkZo7Twm2"
      },
      "source": [
        "We may also arrange the probabilities in a vector $\\vec{p} = \\begin{bmatrix} p_0 \\\\ p_1 \\end{bmatrix}$\n",
        " \n",
        ". Here, for notational convenience, we put an arrow above the variable representing the vector, to distinguish it from scalars. You will see that quantum states also have a standard notation that provides convenience, but goes much further in usefulness than the humble arrow here.\n",
        "\n",
        "------\n",
        "\n",
        "\n",
        "A vector representing a probability distribution is called a stochastic vector. The normalization constraint essentially says that the norm of the vector is restricted to one in the \n",
        "$l_1$ norm. In other words, $||\\vec{p}||_1 = \\sum_i |p_i| = 1$ \n",
        ". This would be the unit circle in the \n",
        "$l_1$ norm, but since $p_i \\ge 0$\n",
        ", we are restricted to a quarter of the unit circle, just as we plotted above. We can easily verify this with numpy's norm function:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "_TIHjdoCTuBb",
        "outputId": "de5df6c1-ab76-4062-aa48-0cb3b58e5cee"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "1.0"
            ]
          },
          "execution_count": 4,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "p = np.array([[0.8], [0.2]])\n",
        "np.linalg.norm(p, ord=1)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "X-NrokZ2UKUT"
      },
      "source": [
        "We know that the probability of heads is just the first element in the $\\vec{p}$\n",
        ", but since it is a vector, we could use linear algebra to extract it. Geometrically, it means that we project the vector to the first axis. This projection is described by the matrix  $\\begin{bmatrix} 1 & 0\\\\0 & 0\\end{bmatrix}$\n",
        " \n",
        ". The length in the $l_1$\n",
        " norm gives the sought probability:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "7POn4bJ0UIYW",
        "outputId": "688ea8c8-5a2c-4aab-9d6c-d633efede98b"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "0.8"
            ]
          },
          "execution_count": 5,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "Π_0 = np.array([[1, 0], [0, 0]])\n",
        "np.linalg.norm(Π_0 @ p, ord=1)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "V5UdBHM1UWO-"
      },
      "source": [
        "We can repeat the process to get the probability of tails:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "j41x2c0-UU01",
        "outputId": "c0fb2df5-282c-4c46-92bf-9d1a843dd8cd"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "0.2"
            ]
          },
          "execution_count": 6,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "Π_1 = np.array([[0, 0], [0, 1]])\n",
        "np.linalg.norm(Π_1 @ p, ord=1)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "l4ebw-eaUbYR"
      },
      "source": [
        "The two projections play an equivalent role to the values 0 and 1 when we defined the probability distribution. In fact, we could define a new random variable called $\\Pi$\n",
        " that can take the projections $\\Pi_0$\n",
        " and $\\Pi_1$\n",
        " as values and we would end up with an identical probability distribution. This may sound convoluted and unnatural, but the measurement in quantum mechanics is essentially a random variable that takes operator values, such as projections.\n",
        "\n",
        "-------\n",
        "\n",
        "\n",
        "What happens when we want to transform a probability distribution to another one? For instance, to change the bias of a coin, or to describe the transition of a Markov chain. Since the probability distribution is also a stochastic vector, we can apply a matrix on the vector, where the matrix has to fulfill certain conditions. A left stochastic matrix will map stochastic vectors to stochastic vectors when multiplied from the left: its columns add up to one. In other words, it maps probability distributions to probability distributions. For example, starting with a unbiased coin, the map $M$\n",
        " will transform the distribution to a biased coin:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "xJ86_NIKUY4p",
        "outputId": "3d9e3731-6b9c-4626-da13-cd619953cf77"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "0.9999999999999999"
            ]
          },
          "execution_count": 7,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "p = np.array([[.5], [.5]])\n",
        "M = np.array([[0.7, 0.6], [0.3, 0.4]])\n",
        "np.linalg.norm(M @ p, ord=1)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "LbS73UmvUu9j"
      },
      "source": [
        "One last concept that will come handy is entropy. A probability distribution's entropy is defined as $H(p) = - \\sum_i p_i \\log_2 p_i$\n",
        ". Let us plot it over all possible probability distributions of coin tosses:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 302
        },
        "id": "tpX9mljmUsS7",
        "outputId": "93cf05b2-b26b-4e4f-83ae-6ea2d6a45e72"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<matplotlib.lines.Line2D at 0x12e17dd00>"
            ]
          },
          "execution_count": 8,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "ϵ = 10e-10\n",
        "p_0 = np.linspace(ϵ, 1-ϵ, 100)\n",
        "p_1 = 1-p_0\n",
        "H = -(p_0*np.log2(p_0) + p_1*np.log2(p_1))\n",
        "fig, ax = plt.subplots()\n",
        "ax.set_xlim(0, 1)\n",
        "ax.set_ylim(0, -np.log2(0.5))\n",
        "ax.set_xlabel(\"$p_0$\")\n",
        "ax.set_ylabel(\"$H$\")\n",
        "plt.plot(p_0, H)\n",
        "plt.axvline(x=0.5, color='k', linestyle='--')"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "QeFFZGb5U4UM"
      },
      "source": [
        "Here we can see that the entropy is maximal for the unbiased coin. This is true in general: the entropy peaks for the uniform distribution. In a sense, this is the most unpredictable distribution: if we get heads with probability 0.2, betting tails is a great idea. On the other hand, if the coin is unbiased, then a deterministic strategy is of little help in winning. Entropy quantifies this notion of surprise and unpredictability."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "lNVwBabqU6pL"
      },
      "source": [
        "## Quantum States"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "MHOo2FVvU-LI"
      },
      "source": [
        "A classical coin is a two-level system: it is either heads or tails. At a first look a quantum state is a probability distribution, and the simplest case is a two-level state, which we call a qubit. Just like the way we can write the probability distribution as a column vector, we can write a quantum state as a column vector. For notational convenience that will become apparent later, we write the label of a quantum state in what is called a ket in the Dirac notation. So for instance, for some qubit, we can write\n",
        "\n",
        "\n",
        "$$ |\\psi\\rangle = \\begin{bmatrix}\n",
        "    a_0 \\\\\n",
        "    a_1 \\\\\n",
        "\\end{bmatrix}.$$\n",
        "\n",
        "In other words, a ket is just a column vector, exactly like the stochastic vector in the classical case. Instead of putting an arrow over the name of the variable to express that it is a vector, we use the ket to say that it is a column vector that represents a quantum state. There's more to this notation, as we will see.\n",
        "\n",
        "-----\n",
        "\n",
        "The key difference to classical probability distributions and stochastic vectors is the normalization constraint. The square sum of their absolute values adds up to 1:\n",
        "\n",
        "$$ \\sqrt{|a_0|^2+|a_1|^2}=1,$$\n",
        "\n",
        "\n",
        "where $a_0, a_1 \\in \\mathbb{C}$\n",
        ". In other words, we are normalizing in the $l_2$\n",
        " norm instead of the $l_1$\n",
        " norm. Furthermore, we are no longer restricted to the positive orthant: the components of the quantum state vector, which we call probability amplitudes, are complex valued.\n",
        "\n",
        "\n",
        "-------\n",
        "\n",
        "Let us introduce two special qubits, corresponding to the canonical basis vectors in two dimensions: $|0⟩$\n",
        " and $|1⟩$\n",
        ".\n",
        "\n",
        "$$ |0\\rangle = \\begin{bmatrix}\n",
        "    1 \\\\\n",
        "    0 \\\\\n",
        "\\end{bmatrix}, \\,\\,\\, |1\\rangle = \\begin{bmatrix}\n",
        "    0 \\\\\n",
        "    1 \\\\\n",
        "\\end{bmatrix}.$$\n",
        "\n",
        "\n",
        "This basis is also called the computational basis in quantum computing.\n",
        "\n",
        "-----\n",
        "\n",
        "We can expand an arbitrary qubit state in this basis:\n",
        "\n",
        "$$ |\\psi\\rangle = \\begin{bmatrix}\n",
        "    a_0 \\\\\n",
        "    a_1 \\\\\n",
        "\\end{bmatrix}=a_0\\begin{bmatrix}\n",
        "    1 \\\\\n",
        "    0 \\\\\n",
        "\\end{bmatrix} + \n",
        "a_1\\begin{bmatrix}\n",
        "    0 \\\\\n",
        "    1 \\\\\n",
        "\\end{bmatrix}=\n",
        "a_0|0\\rangle+a_1|1\\rangle.|\\psi\\rangle = \\begin{bmatrix}\n",
        "    a_0 \\\\\n",
        "    a_1 \\\\\n",
        "\\end{bmatrix}=a_0\\begin{bmatrix}\n",
        "    1 \\\\\n",
        "    0 \\\\\n",
        "\\end{bmatrix} + \n",
        "a_1\\begin{bmatrix}\n",
        "    0 \\\\\n",
        "    1 \\\\\n",
        "\\end{bmatrix}=\n",
        "a_0|0\\rangle+a_1|1\\rangle.$$\n",
        "\n",
        "\n",
        "This expansion in a basis is called a superposition. If we sample the qubit state, we obtain the outcome 0 with probability $|a_0|^2$\n",
        ", and 1 with probability $|a_1|^2$\n",
        ". This is known as the Born rule; you will learn more about measurements and this rule in a subsequent notebook.\n",
        "\n",
        "-----\n",
        "\n",
        "\n",
        "For now, let's take a look at how we can simulate classical coin tossing on a quantum computer. Let's start with a completely biased case where we get heads with probability 1. This means that our qubit $|\\psi⟩ =|0⟩$\n",
        ". We create a circuit of a single qubit and a single classical register where the results of the sampling (measurements) go.\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "ezGnk2wrU1p8",
        "outputId": "aa526992-67de-44dc-aa24-e2ed60c1ff45"
      },
      "outputs": [],
      "source": [
        "# %pip install qiskit"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {
        "id": "ja4xYtlhVxLW"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 203.885x200.667 with 1 Axes>"
            ]
          },
          "execution_count": 15,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": "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",
            "text/plain": [
              "<Figure size 203.885x200.667 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "from qiskit import QuantumCircuit, ClassicalRegister, QuantumRegister\n",
        "from qiskit_aer import AerSimulator\n",
        "from qiskit.visualization import plot_histogram, plot_bloch_multivector\n",
        "from qiskit.primitives import BackendEstimator, BackendSampler\n",
        "\n",
        "import numpy as np\n",
        "π = np.pi\n",
        "\n",
        "backend = AerSimulator(method='statevector')\n",
        "\n",
        "q = QuantumRegister(1)\n",
        "c = ClassicalRegister(1)\n",
        "circuit = QuantumCircuit(q, c)\n",
        "circuit.measure(q, c)\n",
        "circuit.draw(output='mpl')\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fv1Tk7dAV3Ug"
      },
      "source": [
        "Any qubit is initialized in $|0⟩$\n",
        ", so if we measure it right away, we should get our maximally biased coin."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "GKs6m5QrV9ma"
      },
      "source": [
        "Let us execute it a hundred times and study the result"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {
        "id": "7kz2kairV74s"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "{0: 1.0}\n"
          ]
        }
      ],
      "source": [
        "sampler = BackendSampler(backend=backend)\n",
        "result = sampler.run(circuit).result()\n",
        "print(result.quasi_dists[0])\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "vC0a-_EkWErA"
      },
      "source": [
        "As expected, all of our outcomes are 0. To understand the possible quantum states, we use the Bloch sphere visualization. Since the probability amplitudes are complex and there are two of them for a single qubit, this would require a four-dimensional space. Now since the vectors are normalized, this removes a degree of freedom, allowing a three-dimensional representation with an appropriate embedding. This embedding is the Bloch sphere. It is slightly different than an ordinary sphere in three dimensions: we identify the north pole with the state $|0⟩$\n",
        ", and the south pole with $|1⟩$ \n",
        ". In other words, two orthogonal vectors appear as if they were on the same axis -- the axis Z. The computational basis is just one basis: the axes X and Y represent two other bases. Any point on the surface of this sphere is a valid quantum state. This is also true the other way around: every pure quantum state is a point on the Bloch sphere. Here it 'pure' is an important technical term and it essentially means that the state is described by a ket (column vector). Later in the course we will see other states called mix states that are not described by a ket (you will see later that these are inside the Bloch sphere).\n",
        "\n",
        "------\n",
        "\n",
        "\n",
        "To make it less abstract, let's plot our $|0⟩$\n",
        " on the Bloch sphere:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 24,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 268
        },
        "id": "W0YP3avuWBoN",
        "outputId": "b67b3c96-7ca0-4d9f-9007-bc3c49b8ed7c"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Statevector([1.+0.j, 0.+0.j],\n",
            "            dims=(2,))\n"
          ]
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 480x480 with 1 Axes>"
            ]
          },
          "execution_count": 24,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 480x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# get the statevcector\n",
        "from qiskit.quantum_info import Statevector\n",
        "q = QuantumRegister(1)\n",
        "c = ClassicalRegister(1)\n",
        "circuit = QuantumCircuit(q, c)\n",
        "state = Statevector.from_instruction(circuit)\n",
        "print(state)\n",
        "plot_bloch_multivector(state)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "XTyHOUpFWS-t"
      },
      "source": [
        "Compare this sphere with the straight line in the positive orthant that describes all classical probability distributions of coin tosses. You can already see that there is a much richer structure in the quantum probability space.\n",
        "\n",
        "\n",
        "-------\n",
        "\n",
        "Let us pick another point on the Bloch sphere, that is, another distribution. Let's transform the state $|0⟩$\n",
        " to $\\frac{1}{\\sqrt{2}}(|0\\rangle + |1\\rangle)$\n",
        " \n",
        ". This corresponds to the unbiased coin, since we will get 0 with probability $|\\frac{1}{\\sqrt{2}}|^2=1/2$\n",
        " \n",
        ", and the other way around. There are many ways to do this transformation. We pick a rotation around the Y axis by $\\pi/2$\n",
        ", which corresponds to the matrix $\\frac{1}{\\sqrt{2}}\\begin{bmatrix} 1 & -1\\\\1 & 1\\end{bmatrix}$"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 25,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 323
        },
        "id": "cPHAqrzBWPRJ",
        "outputId": "c72c8568-6f9a-4b77-af23-fe978c74a85d"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 305.525x200.667 with 1 Axes>"
            ]
          },
          "execution_count": 25,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": "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",
            "text/plain": [
              "<Figure size 305.525x200.667 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "circuit = QuantumCircuit(q, c)\n",
        "circuit.ry(π/2, q[0])\n",
        "circuit.measure(q, c)\n",
        "circuit.draw(output='mpl')\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 27,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "{0: 0.4833984375, 1: 0.5166015625}\n"
          ]
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "execution_count": 27,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "job = sampler.run(circuit)\n",
        "result = job.result()\n",
        "print(result.quasi_dists[0])\n",
        "plot_histogram(result.quasi_dists[0])"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "T_Ml56aHWl9g"
      },
      "source": [
        "To get an intuition why it is called a rotation around the Y axis, let's plot it on the Bloch sphere:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 29,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 268
        },
        "id": "lFyr_Um2WkbN",
        "outputId": "7ae774a7-260d-430c-da73-8ec77d5d4c5f"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Statevector([0.70710678+0.j, 0.70710678+0.j],\n",
            "            dims=(2,))\n"
          ]
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 480x480 with 1 Axes>"
            ]
          },
          "execution_count": 29,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 480x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "circuit = QuantumCircuit(q, c)\n",
        "circuit.ry(π/2, q[0])\n",
        "# get statevector\n",
        "state = Statevector.from_instruction(circuit)\n",
        "print(state)\n",
        "plot_bloch_multivector(state)\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "-mtomadmWrbK"
      },
      "source": [
        "It does exactly what it says: it rotates from the north pole of the Bloch sphere.\n",
        "\n",
        "\n",
        "----\n",
        "\n",
        "\n",
        "Why is interesting to have complex probability amplitudes instead of non-negative real numbers? To get some insight, take a look what happens if we apply the same rotation to $|1⟩$\n",
        ". To achieve this, first we flip $|0⟩$\n",
        " to $|1⟩$\n",
        " by applying a NOT gate (denoted by X in quantum computing) and then the rotation."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 30,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 268
        },
        "id": "TZMZX2rDWo-B",
        "outputId": "bce264b3-ca1a-4afe-e6fb-4bc6dad0e15e"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Statevector([-0.70710678+0.j,  0.70710678+0.j],\n",
            "            dims=(2,))\n"
          ]
        },
        {
          "data": {
            "image/png": 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RSHd24No2KJ/ACSEwdB26riMIAtiuC9/3Yeo6TNNkk34Q7IZQoghREOwmd0V9AdikF4vVetuKHUjE2ttDRlyGIkk/NXQdhmGwHIJhsG0TdQ0iV+Byo0YI2aWaJhhRWzs7iOMYeZ5grlQqeP+DD1CrVPDQiRN46MQJxnyKY8mKcoMANI6Ry+VQKhR6VywnvRoRRhKvJ64F4aGeKAxbPY5+7CkAly9fxscffYRDhw/jqaeekqEmYcSCIIBpWSiIeojpaRT6jTvFFxapUUjRFWEYwnEcNOp12PU6QtcFpVTSPRVFge/7aDoOtisVuK6LOIpgWhZMw5C0UjF5K23hExE/VxVFTuyiJoCKUBH/O4pj0ChCDCBOMI9aqpnbktNJPSNdGAnDgGEYzGjouhy/oISauo5cLgdVUeAHASrVKgCgVCjg/IULuHThAvLFIk6fPo18LicnbqIocv9RFKHZbELTdZSLxd1xDfCoifPvtlqX16JtXwRMTiP5v9ieALh15w7ee/ddTE1P4+WXX4au64zxFIbwPA+NZhOe50HTdWTyeZTKZUxzA2EYRt9xp/jiIDUKKVpAKWUFU46DZqOBoNlE4PsghEDXddA4hh8EsB0HnueBEgLf80DjGARgiWRdbwmTtFBLRYJZ0EsBWZDWC3GHuLooDGs3HqJSOggC+ImCN/EZYUhUVWVyFfy8wjiGwcXscpkMwjCE7Tio1mr4/Px5OK6L48eO4fDRoyy3AEA3DFjc4IiJPIwiVKpVJpJXLg8djpGGrgfEeXaDKNST/wPY2NzEm2++CdM08dWvfhXZTEYarJhS+Nw42I7DwmqZDPKFAsrcOBSLxaHOI8WDidQopADAvIJGo4Fms4nQdeG7LisuA1uZB2EI1/NYrF8Ul1GmUaRyYbipUgmGYQzFahmkaEtsJ0I6AGTcXVJDk0nihNdAOY3T5aESPwgQ8FqAOI4BRWG1CGChGYeHkxRCYDsO1tfXUatUMFUu48TDD0vmjskNQbciu51qFaAUhUKBGR2gJS+iJiqs2zGIUQDQwmLqC3696vU6fvKTnyCOIrz62mvIZbNM1ynhbUVRhKZto9FowPV9WJaFfLGIXKGA+fl5TE1NpXmHLzBSo/AlRxiGqNfrcBwHgeehvr3NwkBxjDCKJEtHxOpVRUEmk0EmkwHl4QcCoFAoDGUMRJhErnbbVrXJSZTy4i622XiTkThmyI2c53nwfR+e6zKDwSmslUoFt1ZWQAEsTE9j6eBBFDIZ5PP5gSQlGs1mS7K5G0SyXE38JokEuzR+HR5TIRzYK6fQCa7r4vXXX4dpmnjttde6GidQCtf3Ua/VUGs2YRgGSjMzKJVKWFhYQD6fT43DFxCpUfiSIggCNBoNGSraWFmBZ9tQFAW6pklvQFFVZEwTZiaDrGXJal7P81DndQiFQgF6r3oDJFbz/O+YT2iDTCq9wiTyGHylG/PthXieqEgWISSxCk+K6QHM8IVhiEazie3tbVy9dg2EEIRRhIMHDiDPWVQKN4qWZcHieZW2gQBgshie78PkzKakhyMMU69HTySbCSEs99JmPJLMK2G8Rb3DINja3saPXn8dp06fxpnTp1sNg2A/JTyuKIpQrVZRbTRQmppCvlhEqVRCuVxGNptNk9JfIKQqWl8y+L7PwgKui2azic31dTiNBixezCWrfjMZ5DIZmKa5Z+KOeXgBYHUISYPQyQB0mvblxNwPbZNckrKZrAYOw3CgMBTAdJFEExzR+8DjeRPXcXDz5k3Mzc7i6JEjePeDDzA/NwdVVRFTCo3/dmwbjusil8kgl82ymoTEOVumiUazCV3XUSoUWs+B/xbGIeJGS0haiNdiniQPE2qs7SCEIAagcWOucYMur68wFG2J+JnpaZw5cwbnz53DPFdeTRoUhTPDkoZJFMFtc+2q0PfheR5yuZz8SY3Dg4/UKHxJEAQBarUaHMdBvV5HpVJB4PswAZRyOWSzWeTz+ZbJrSM4dz/m1beWZfU1AHt2gcE59zSxoo/CkDXS4cag26pYeDiqorTUNAhjIMYaxzGajoMgCEAUBXdu3sTVa9dw/OhRHDt+HPVGAxohKBUKMCxLsp4irnoaxTEc25YGMpvJIJ/LIWtZ7DiEyMKzlpwC/63yMYmysZazoRQBNxTJBLr4HQvPh/94vNEPwFhdWqJqXOFhKAluKE6fOoW19XW8++67+Na3v91i3GNKgQTLS9B9TdPE/NwcavU66tUqooT8eaPRQC6XQ6FLbUqKBwOpUfiCg1KKer3OXH/+owDQCUGG0y/LpRK0AStanYSg3cgrwzYvQaxqBVefgNURhFEEL9FvoROkXIauy0m2U4w9eQyZT+DeASjFlUuXcOv2bTz++OM4/tBDsJtNmUuxuMfkOA4AwDRNzE5Pw/N92NxjCHgvCNtxAEpljUamg6clx9P2Wnv1s8a1oMS2Ul6Dr/plfiSK4LquLAAUP72MhKCwvvD88/iz//pf8eHZs3j+hRc6jgvYDeEJosFUqQTbddGs10EoU6nNFwqSvVYqlVLF1gcUqVH4AsN1XWxubmJrawu1Wg0qIbBUFbqioFAooJDPD5QcFuEgUbdAAeRzOWgjaOdQsD4IcqLkHH8ax/AToSBhBJIhIcInSl20tlRV1iO539j5+Gkcw3ZdyaISYZFPPvsMmxsbeOGFF3Dk8GE0+eQvEsoEQCaTgaqqaDabCIIATUqZFpJlgYKH5ZpNOI6DMAwR+D7qzSYqlML3fXa9c7ndJHW7Uewy9mSRXpK9BEB6P5qo9QBkEj1ZJd7LSGQyGTz7la/gnXffxdLNmzh0+HDPugpR+EfBQoeGpqFaq8FpNuHYNvLFIorFIra3t5HJZFAsFlONpQcMqVH4AiKKIqytrWFlZQWNRgMKpcjyCuNyschoiH1CRFAUVi0LHreOYzQaDQCQ1cJDITGxKZQiEJMXl8VIFqQJKIoCjfc3Fj/JfEXnodM9k2gcx3A9D47ryoSqkNF+6+23YTca+OpP/RTmuT5QGAQA0Moy4gVwhUIBDS5jUW80pHE0TROmYQBc7sK2bRla8YMAW5UKtisVFPN5TJVKLftO9maggLzu8v+ul3S3OFD8LQoCdX5+SSMhrnO7kSiWSlhaWsIHZ89iamoKOZED6cF8EuE3oigolkpo2jZ8x8GWbaO2vY3p2VkAjJAg9JVSPBhIjcIXCJRSrK2t4datW7BtGySKkFFVFIpFlEslZLPZXfXNDp9NTi7tk2/TtqU2US6bHXhMydBJxPsFOK6LgE+8SYjJTIQ5WuoS2vbV8Vh8zJLKCjB2VcIY6JqGbCYD23Hw4x//GJRSvPbaaygWizI+L0IlSU9IHFvTNBTyeTSaTURRJOPouqbJWL3JK5s1VWVd1ghhxXRhiFqjgWqthnw+z5rtcONK2s5BGAPS4btqR6fqZggasarC4NXWALoaiYcffhjbOzt48+238fzzz8O0LBi6vpuP6DEOhRDks1k4igLHceB7HpZv3WIyH9PTiONYhpRS4b37H6lR+ILAtm1cuHABtVoNJIpgAJgqlzE7OwuDP4hS+oEjGWdvpyQmEfAkZkwpin2SiO3GRDB7RDJSvAagxQPQNW2PTEO/rmhdjw/WvtNuNqUmkaaqyGYy0HVdVvZmMxl89ad+Chke+yaESGOlqiqT2m4HZS0/i4UCGjyU1KjXkeUtNGUbT7CYvcZDNBnLQtO2UavV4HJPolGvI5vNMoPd1hBHnIdgEvWkr3ZaySeMuwhBiTEZXOoDgJS6CMMQTzz5JN555x3cuHkThw4dgs09KtMwWifzBL0WCW/SsiwWYrNtKZxINzexs7WFQqkEz3VR5gymFPcvUqPwBcDKygquXLmC2POgAZiemsLc3Bwsw5Cr3uTEIlelfeLxAg6XxDYNoyXsQQEowJ6Jm1IqNXXaPQJd06RukuTiC2PQZgT6ce47Ul2R8A7AJvdsJiMnwdvLy3jv7bcxOzeHF196STJuxMQZJEJHUVtyO+mBEEWRHoPPVVeF4qrYVtU0wPfldyCoq47rosYLBl3XxbJtw7QslItFFNqa4bTnFcR1Sl6ZftLanXpQi3oNRVGkZ5PLZrG2vIxbt27h6JEju+Ev34eiqnK7JLlAGBtKqWyYlMtmpSfl+T7yuRyq29uobm/DdRzMzM2hxFuaprj/kBqFBxi+7+PKlSvYWF8HCQJkLQvHDh+GxVedyaIvCrCQwqD1ARwhD/nElMr9JvMDLduGofQKkhO6qqpSLC658o14TFqiz7hkQjYRIkpCyDOIojhROCYmsfX1dbz79ts4dOgQnnvuuVZtIP63bBWq6/C4MWwZAxsIGyth/RhsRYHrebAbDSj5vDRAQspC6C2Jo2UsCxnLguf7qNXrbMxBgLWNDWzv7KBULKLYS6WU7Ep80DgeSGhvzy74OUtFWL6vU6dP49bt26hWKjhw8KD8PuMoksbW4IZd4yGz5PUTbKl8Lod6o8Fov7aNfC4HPwiwcusWmo0Glg4cwMzcXFrXcB8iNQoPKLa2tnD16lXYtRrzDqancejAATnJxm2TRZKFMwwEDdPgInftiOMYHqd3Jo2Q4LSbCS0kmnhPFFZ1q1amSYPGJ65uOkMAY1o1HQei30I2m4VlGKzOAcDOzg7efOstzC8sMIPAPRXCq6AVuqs+SsE8GpFfoMmVeXt8nRBks1kWLvF9NG1bho1Ufoy4jVIqYBoG5mZmUC6XUavV0OCT6ObODrYrFZSKRdaPQtM6TvyEss5rydX/sAaiPYdU5knnCxcv4siRI9CyWWQzGSYFwkOAPhcaVLharmEYkv0EtBoG4TEIw6AQglqlAtu2YTsODnbrW53iniH9Nh4whGGImzdvYm11FYHjIKNpWFpcxFS5LCcsUcEq8gXDdO5qORZ3/ykYJVOAcpqlSJ4mITyCTl3W2qd0hRDZQ6AdSTkKIamdfC+5Um7YdkvYJ8dlF4R0drPZxF/8+MfI5/N44YUXdqt8sWuoKJiXEFOmntqivYTWUBYFgDZ560wmw9RZgwD1RgMFoQtEqRT9I4QgSuxX/NY0DdNTUygVi2jU66hzz2GnVkOFJ6WLCQ9Efj9t32sySd2N5toL4nxOnz6N13/4Q6ysrGDpwIFdA89rL/zEIkDIpOiJ3IOQAwEhKOTzqNXrCMMQTdtGLpuFqqqoNxq4ee0a6rUaTpw82XJ/pbi3SI3CA4RKpYLbt2+jurUFhCHK+TwW5+eRTSTuRCJZrKqHNQdJGQkRPtF5EVWQaMyShK5pMnk5bJxYVZTd/gBJo4bExM/fazcMnufB5tXEAIvZC20mAd/z8OOf/ASGruOrr7zScVUqRixyCP3qL0SRXctrhCCXyyFuNBAGARrNJvIiP8A9DQKeg0GboRHfGad3FopFNJpN1BsNqVFVqVSQy+UwVS7DMk1W6dzF2MvQEEYzDjPT05ibm8OFixdxYGlJyl1Qfm20bBaZTIZ5DJ7HmExBgIB7D6JfBbiBzedysr7DdhzkslkUCwU0bRtbGxuwGw08/Mgjksaa4t4iNQoPAMIwxPLyMna2tmDX61ApxczcHGaSDVAoBSUE7RHamPc56AfKE75itSnkpuMoAlUUVKrVVm0ckaBsE4XrxavvBoUw/Z444d3EyaRzeyKbx6kD34eo/M13qK6OwhA/efNNBEGA1157DWafCtuQU24HCWd0LDbjOYZ6vY4ojmXymQB7kuji/46VzXyFXcjnZT8Hl6/IG40GLMtCqVxmtRbY9RDEftsTy6OElR45dQo/+fGPsbG52dLfWRpsnrMRTYU8Hl6KuQSI67qyX4XBK+frPCkPMAOez+VY9zvHwWcff4yHHn4YBw4fThPQ9xipUbjPUavVcPv2bfi2Dd+2kTUMFItFlIpFaRDkpNC2cowHWCW2GAOxHzCVT5tX5+b5ZCsmAqONhZTESI8zIaxpDaV9E6cBj9sL7yGTycDqICVBKcXb77yDeq2GV7/+9d1VexuS0hHREEahGxRFQT6fR6PRQBSGcF0XlmUhjuM9rB1x7r3ON5vJIJvJSDqrqJpuOo7MOSiiH8LuyctjtNOMRQ6l3/e0MD+P0tQULly4II0CkvcTYRXiIEQyvDKWJb3JgDc38jwPGq8NyWezrMjN86CoKizOeKKUIggCXL18Gc16HUcfeghmGk66Z0iNwn2KOI6xvLyMrc1N0CAAwhClQgGWZSGXy7FQDd9WxLjb0Xdt2GHSEKvwjc1NRHGMbCYDjTfR0TvkCcZBex2CSghiHk7ao47Keyr7nse8A1VFNpvtPIFTig/OnsXa2hq++tWvojw11fn4SISOuMCckL4YaPzoPLmqqopcPi89Bsd1uxqlllBUD+NgGgbKU1PI5nKoVCrwPA/VahXNZhPTU1N76hzY7vbWN8ikNF9EdPs+CSE4feoU3n7rLezs7GCq/RqKMCPfD+V/izBixAkINm91Wm80ZN7B8324nBRgcYZYgyvFbmxswPM8LB06hNn5+a7XI8X+IeWD3YcIwxCXLl3C1toa4LrImSarfrUsWJzOKDnnHTwEgfYJYQ+LJvleHMO2bexUKqjV64gphaHrmJ6aQrFQkLIQyf2M04qD8rHL8AeHwl9TEivoMAxRq9dZ6IEXSRUKha4r+nPnz+PG9et47tlnsbCw0HUMyWph6SUModMjch6doPFYukoIwiBoyX102o/09tq+l5gzjEQRnmmaWFhYYL2TNQ1RHGNtYwPrGxs9JbYFpLJqQpo7xt5kOgAcWFpCLp/HxYsXu45bGge0fo+qoiCbyaCc8GiFF0H58Rzblh5UPpdjifgoQr1ex/LNm7h28eKe/FWK/UdqFO4zhGGIK1euwKvXoUQR5ufmWHgEjBYqpK1FfJd20AwCWlexMg7MefMtBWJc/nmnWoXjOLL5TTaTwdzcnKxkFZNGy2Q+gtcgaam9QluJFbvneahXq3LyKOTzyGYyXY997do1fH7+PB5//HEcOXq0+zjaCsDEhDqseFuvK6DrOrK5HEva80K1gfbFcyxhQjq7/Xzz+TyWFhdRzOWgKwpc18WdlRVU+bUaaOyJfIMwDiHv6SDCiqceeQTLy8uoc92rvvts+19TVZlYTgoMulxZVsiOi++WkF3hxUa9jsvnz6NRrw907BSTQWoU7iOEYYgrly7Br9VA4hhLi4sgfFWncTG2lqRuH+kDsSJrNwQANwaOg51qlTVqF/0RTFP2IdY1TaqaAtgtfhvh3Non4Z7gXoJt23BdF4SPq8j7HXfD8soKzp49i4dPnsSpRx4Z4DC7ZyKMwrD5hH4ek2kYMLmSquM4PVe+sqgvihDzyTkx2D3bq5qGmZkZzM/Ps4Q/IdipVrGyttbXAHUCAZfVIAQxr9E4dOgQdE3D9evX5fkOsp+W0CaYsS3k88x74gKCnuuiUq2i0WzKbYSulsfpzlEY4trFi9je2Bj6fFKMhtQo3CfwfR+XL15E0GiAADi4tARV0+Dz6txCPr/HIHSbjCggY7wdPQNuDJrcfVdVFflCAeVyWe7bMIzdKmhgT3hgGLTvp+e2/LzqjQZczwMok6gWvZFFs5f2M9/a2sI7vFr5qSefHKpITzSvASbrKQC7LC2dh1AENTMJUSQXcmMgErqi+ptv1PUYlmVhYX4eU+UyCylFEVbW17GxtTVQSKnTOUl5blXFgQMHsLK8LNucDmrck/sR56HrOmNW5XKwLAuUUhmyDMOQ5R1MExTMmxCfu3PzJlZu3x76XFIMj9Qo3AfwfR9XL19GyF30A4uLME2TJeMAGEJSIIFOVEYR3iEdqKmgdNcz4MZA46u3crkM0zBYUVoQAJTKIqRRPQMgYZwwuEGJ4ljy8wlYmMRqqz0ghDW1F01w6vU63njjDUzPzOC5557rbxDawjEin6Aoykja/z0FAvl7ovgLAOr1OlsFc0Mg2nDuoabyMYnx9vJIFEVBsVjE0uIi8tksdEWBY9sspFSrDX1OcuyEYHFpCfV6XUqni77X/fpMi3MgQKvYIc+NzM7MIJPJgIIZy3qjgWazyXqE8zBSEATyGBurq7h++fIeTaoUk0VqFO4xfN/H1YsXmUEgBEvcIARBIHX9c23MElGpm4QIE+2ZniiF6zjY4dIC0jPI51EqlVqKvcIwZA86IcwojHhOyVDRINLP8vhRJFeMCm8E1LNvA6dFvvvee7BME6+8/DIUXo3cM7TWNokPU58wLAhf7UdRBCuTAeHsqlq9vkeKpOPnsTuh9pL5EFA1DbOzsyykZBgspFSpYHl1deSQ0uLiIjRVxZ07d/a8L7wcKQfSoVIcaM0hiW0URcFUuYw8L74Mowh+EKBh2ywJDsD1vJbaiFqlgqtpAnpfkRqFewjf93H9wgWEXC/n4IEDknNvc80hS/T7TaBFFwjYpQYmw0Rg7vdOpYIGb/iicEZMqVTaw+0X0hUAi4PfjVBREn4YolarIQxDqIrSkpjshU8++QT1Wg0vvfyyNGTJ4yYNFKW0Y+3GoJXMvSDyN8lJMtlXWSSMczymHkeR/I77QYRhWsQD+8CyLCwsLMiQUhgEWFlbYyGlIWVPVFXFwuIi1tbWem6X7EcRR9GehkEt58LvPV3TYJkmMpkMq5ZWVWYoKUWTtzr1E+E2Qggc28blc+dg81xEiskiNQr3CK7r4uqFC/AdRxoEQfv0PY9NVLw4KwkRZhCTXafQhR8E2OEJvEh4BrwXs2VZewu9AIAQ+fCN0ghFJrUxfO7B9Tw0ajXElLImNoXCHkPYCcvLy7h8+TKeePJJFIvFlvdaupIlXiOApGKKayhCFELOW05u/Id2+ImTEyD/HXHqaPJzUm4ksTrOcgaZ1zbh9cIoRjoZUsrlctBVFbZt486dO6gNyeg5sLSE7e1tBKKvdb/xci8u4j8tzZKAlkK4DL8nCQBN11k3O02DoWnwPA9b29utuRFOXb126VJHJdsU4yE1CvcAruvi2uXLCLlBOJQwCADg8Yki0yYhIcJGFAl6aQJRHKPebKJWr4NGEVTO/+5qDIRbDsgOXDHPJwwDEY4ZZeKyHQfNZhMxmJhee0K96+dsG++/9x4OHDyIE8ePD3XM5Dhjfs4ATzK3h3O6GAXxutim67l3KEzTdV1+H6Jt50DjTpIHhoCqaZibncWcCCkpCrYqFayurw+ciF5cWgIhBCurqy2v9wsOimsUUyo9pz3j4zUNIASu60p6aqlUgqIoiKIIO7UaPBEy4vuMwhDXL18eKZmeojtSo3CX4bourl6+jMi2oSgKDi4t7ZmEpeJnIp5OASkr0KlDmh8EqFWrsu9uJpNBuVzuagzaue8idKTr+kCxazEmoE/NQY/PCskGAMhaFgq8gKnvZ+MY7737LjRNwzPPPDMU06gdYkJWFGVsbf9Oo2gP0QlYlgVd10F5mGRQqmdyv8MWD2YsC4sLCygXCtC5RzoofdU0TczMzGB5eVkeXxIaelz/PQWUgPQekqE8qawLtlAghMAyTZSKRdnwyLZtWdcgxuC5Lm5evTpwbUaK/kiNwl2Ebdu4cukSItuGqmk4fOjQnkRqUv1ST8TU2yUh+IuIKZXeQUQpVEVBqVCQ8tGtmycSwG378n0foFS27uyH0WuZ2aqxXq/LlV8ul0NmiL7Pn1+4gI3NTTz//PO9E9Ft6DSJxjzJPArrqB2dDFo3o0AIYYWIioIoDGV3u2HQQlkd4jOlchkLCwvQDQMxpVhZXx+IoXRgaQnr6+uSrQVA5o+AvQl8EWbrBtFoKeI01xxPxItmTQBbpGS4xAoI63VdbzRaxtCo13Hnxo2Br0GK3kiNwl1CGIa4fvUqYteFrmk4dOBAx4koWUQlq5YpZTo1bQ+YHwSoch0cgK0Ey4nm6Mk+BMlQ0Z6wUxTJXgKDhI7GCReFcYxarSapr4VCQTKgBpneNjc2cP7cOTz66KOYGUJquVvxnGAeqWN6CQIdDQPfd/sErqgq8tksq/B1nD29KTqifR8JOZBhYJomFufmkM9koCsKtqtVrG9s9FxxLx04gDiOsb6+vuc94TW0GMEhxhNzL9jkRt5xXZljApjRzvOFjtBS8nh+gwCobG1hjXsxKcZDahTuEm7fuoXIdaERgoNdDAKQaAcpJAHEZJVgF/XyDjo1thGhom6hGXFMTdd7To6y7mDE2oUwDFGv1RDyfEcpYcDYAXpPI77n4Z1338XM7OxAFcvt6DRmseJUJ0RH7RhC4r87nZ2ekB9vNps9V9YE2OstDslKSkLVNMzxfsk6IXBcF8urq13pnvl8HsViEcsrKz33K+61Fo9iQIieHHEcIwgCqGRX0kX0xRZd8UQ4SXjRaysr2N7aGvqYKVqRGoW7gM2NDTQrFSCOMb+w0DNUEQQBa2bCHw4hcyHgBwGqidyB1eYdJCFrF/rE3MUk0Ct0NErdQRJeEDAjFsfQNQ3FYnG4kA2leP+DDxBFEZ5//vmRJ8J2jCKENyykUeiyCs9ks6x1J6V9aZbdvslx1GtLpRLm5+dhaBriKMLy2lpXraMDS0tYXVnpG7aK41iKGw4DkvAWREWzyuVWRP1KPp9HhvfGSIaTCIDlGzdQ2d4e8qgpkkiNwj7Dtm1s3rmDOAhQLpflzdwJyQSwyAcIumiLdxDH0jvId/AOJF0VkFW/vY4ZBAHiOO4bOhp12vF8H42E8uqgDKMkrly5guXlZTz77LNDt27sJgmSpEpOsoH8Hm+tz4RNCEGOi8EFQdA78duvenpE42DxJHTGsqASgs3tbWxsbe0JJy0tLTHK885O132JXIEY77AGS8jCR2HIaip4+LQ9US/uo2Q4iVKKm9evYyc1DCMjNQr7iDAMsXr9OuIwhGWamCqVOm5Hsdt1TIRvKH8IYl7lObB3QHeljAV6GQZRVKUoyp7Vcktieqgz34Ufhmg2GqBgcex8Pt91ld9t7VmtVvHJJ5/g4RMnsLS0NNI4Op2/KFpTVXWslXYntBghvu9unoIYg6hfsF1X5jra0W+Uo9SJyDHwcFKxWITOw1kra2vwE7mOqakpqIR0NQrCIMjaEPEzxPVVFIUVIioKu+cFyYI/D6J6WtO0juEkxDFuXL6chpJGRGoU9glxHGPj1i2ErgsKYH5urqvCacuKXkwgvCCqbtsDeQdAazVxO7o9lGEX9k2vfQ2KIAyZh8BDAp1yHi3H7LSaD0O88/bbKBSLePyJJ8YYzV6I1eykQ0ftk6AUhevzOdM0oZsmFDC6bqf8wkCT6xgGTkhPzM7O7orrraxIKijh7KVKtdrx86KGY8+QMJhMh4DJBRkD35ffk3g+KLAr700I08dqCyfFcYxrly9jK1VXHRqpUdgHxHGM+vo6GtUqvDDE7MxMy6q+UyVysgIX2K1KHjR30K+aWD6UbQ+sXC0n6a+Jz4yKMAxRFyEjTUOuXw1ClxDPhx99BNu28cILL4wU4umlgyToqINUTw+LjkZhgHxMLpNh+k286dHIxx/5kwzZbBYLCwuweG5rfXMTWzs7iOMY5VIJtQ5GoSVs1G1cA4aTNE1jXrOi7FZ9J1hvhJDdeoc4RsaykE+Ek5q2jTAIcOPqVWx1YEul6I7UKEwYcRzDr1axvbkJPwyRz+VQaGvFKBhBwN6HhIDp7tfqdUSCpdPPO8Bgk4DMVSQmp5Br1GiququyOuD+uiHkMV5hEPI8Xj7I+JK4desWrl+/jqe/8pWu7SwHQV8vaYL5hBYkvmNgMIomURRpQH3eqaxll4Mee0wvD2A1AvPz8yxEoyio1+tYXV9HrlBArVZryTdQyjrEDRreGsTAC6qyz3MF7d+jQgijXVMmOCi63Wk8nOR6HhzHwfWrV7HRR7cpxS7SHs0TRBzHiBoNbK6vs+bkioK52Vl5Q8vf6LxiiqII9WYTnu/DNAxYuVzPkMsoK3phGAQvPIoigOsjgbOdxkEYx7I3sT6EQWiH57o4+8EHOHL4MI4cOdJ1OzExRULrP6E7JIr7AMgJWuRJYj5OYZxVod1Pd1uN1ut1UIDpBIlJVpwL2aup1FJpnvDKPM+D7/syb0MSst+dro2mabAyGTiOA8dxWqrMh7qSfFzDFrgloSgKZqanYRkGtioVhEGAIAwRUopGo4FisTiwQWhB4lnoRkU2dB2u68peE93uI/FsiXshl8vB8zy4XFsqjiLcvHoVoBRzi4tDnf+XEalRmBDiOEbYaKC2swPHcRBSiqX5+T068kDnxJvoQyzeM0xTSgq3Y9zwDiEEiqoi8H1pHBRFGXtlGSUMgkgCDkodTU4LcRzj408+AQjB6TNn4HrerjSz0PKnu72GO8bQudeDhFEQNRaUEMRRxAoF+YTSST9Hit51CYsQ7Ibt0OlvbmA834fveVI4r2UfisKKvrjMhsLrDggfexhFaDabzLgOdCX3gnD22jjfby6fh2YY2N7aQpTNggK4s7yMQqEwvEEQ49odYEfDJe5TIVrY06MT9wC/JyzThKooaNg2Qq5Ie/PaNcSUYmFEssKXBalRmADiOEZYr8N3HFR2duCHodQd6uT2tv/v8eQYKIVpmjK+H3KXOIlJxPvF52NO9VNVdagkYCfElEq+uGi92JVlRBOqolxZNOKTdBzH2NnZwfUbN3Dm9Gn4vi+rn5NJ+PZzUZKrb27gWphY4j2w6+9xQyOMFxLvie9HTOCFXA5FHr5qrxBPehbi7+T7ooFOFIYs3KEozNgIiqUwXh2MThTHsB0HjWYTnutC03V5DVRFgaKq8ne/cIwC1lZ1nG/ZNAwsLCxge3sbOcvCxuYmylNTmJmaGrlupJ9hUADpVYheIL32I85RbJvLZFBvNBCGIWzHwe3r1wFKsXDgwEjj/TIgNQpjQhgEGobY3NpCGEXIWJaknybDRp3cX9d1ZY9a0aqwVqvBCwL4vg8twclPrkQngSiKoGra2IlWoWWUbI4jQlRSTloYgPbew4AMIUQ8v3HxwgUUi0UcOHgQKl81K4nfSttrXcNrPcImYRSxMI1pdq3PkJ6dooxe8UyppLzqhoF8QuNJeA40jhGD05ATXpCiKAgNA67roum6yPHzjaMIYYKpxgfLDATvHid+q4oiw1kK0N2zGhCKomBmZgbFQgEN3u9gc3sbs9PTY9V6yNBcm2EV35Ou6/B8n6mp9hpf28JB1TRks1k0bRuBMAw3biCmFEsHD4483i8yUqMwBoRBQBRhp1JhxTOEYGFuTm7Tq6q40WzKQiUzES7SDQMeTzJmebtCYHIGQaygxSRsGAbrEBZFQ08YMaWoVqtwuaBeJpNBs9FgSdwOk7IwAIQQOWmpPM4OAFcuX0az2cS3vvlNlLrUdQx4kj3flvIW+1jJvAdtY1J4eAQ9xpDni4QgDGHxXs8hb+UZC4Mbx0Ai7h60scyEJ6EqCgj3CkdtPSq8vJmZGWxsbUEBW9isb25ifnZ2bMMgiA7CIMSU9QtXFAW+78veC333JRZjYDmaDM/RCCbT8s2bAKVYOnRo5PF+UZEahRGRNAhBEKDB++4uLixA5fzuPQlIDspDLUJeIpvNyhVQFMdskrZtGVJRuaTwJJBUWw3DEJS72YQQgFMheyHkYwqT5x0EIIQgm8ux2Hwbs0pTVRnqUFW1Y7EYpRTNZhPnP/8cDz/8MErl8ngn2oF+m4TwViZZydwJ46XtmeHIZDKIbRue77NOfG3KsBS7fSHiKELIDYZskxmGiAHpXYhEu0oIVE2DqmnQ+PfS63qIpjkAUC6XEQUB8rkcbNuGHwQTMwwAu3cC8XxYluxl7ft+SwvZ3jtjhkEhRCbvXT5WAFi+dQsxpTh4+PDI4/0iIjUKIyBpEACgWqshiiJkMxnkc7mWPEJHhhGPcQIsXm3ywhvKdg6FENZ1KgjguO4eSuuoEAVpAHbDFNgt3iKEAMmKajDDkfwRiek4juHylZdCCFM7NQw56Y+yEv3o44+h6zrOnDkz/rn2MAiiUhzYf0+BcNokP/BI+zANA77nIQBTD81kMnuKH1VVhQoAmobklCkMhfAoxN8UkCvxIGHIFVWFxo2EpqpMd0iEuRLHFF6c67qYnZ3F5tYWgiDA6vo65mdnx+53HcexfEZ0XYeiKHD4a4MaBbEgEww0XdNALAtN10UQBLABrN6+DUVR0lBSAqlRGAGRbUuDEAQBbNtGQCnmp6YAAJ2SywArFKvyhu1EUVDM5/eqhPLPZTIZ+GEI3/fhBQHMEVpkJtE+HYkHLhm6iaIIYRBILyAIAsnYEbFeQgg0RYHPY72mYaBULrf0fhgFKysruHPnDl54/vmR2oEmIRK/vXIN4lz221MAAJrUsRoRmWwWQb0OPwjYpD3g9VYIgaJpex50CvZ9C8qmMPhxFMGPIviEtdMU3p7Kj6lxL8/KZGCZJqrVKg4cOIC5uTlsbm4ijCLpMYxjGIT6qaFp0A0DJAgAz0PAZVmGojmLkBSY0GSOEDSbTWkYlm/dQj6fR2GccOUXCKlRGBKR54H6vlx1iyKzjGlKsbtkHwMBPwgkL15VVRTz+T3JS8liEe6uZcF1HNjNJvRSaWSGUKfJSKz8AbAkcRTJnIJgxQh6pKoociJSVZV1xgpDWYcwrkGIoghnz57F/Pw8Dk4oxttr0ugm7bFfkGZnjHoBTVVhmSYryHLdsSiqAFtFC28g4pM/5SvxkPfXkPpLhLT0elC5N1EoFqUGkmkYmJubw8bGBsI4xtrGBhbm5kYyDJ7vIwxDFpLMZGRegICHsPiCZOBzbbsXNJ58tm1bLuquXb6M0088MVTTpi8q0ormIRCHISLeOpGArfybzSaCOMZUucwSqB0+57kuarWaFPEqFYsd2SwiNCP2kc1koKoq4jEkD5LFQXEcw/U81Ot1bO7soFGvw/d9Vq8geiooCiwuXFculzFVLqNYKCCTyUDTNLiuy5LjlCKXz0/kIbp48SIc18XTTz01UqHbsJDyFnfBSwAgi7TGzS9YliVZXYO00BwU4joQRYGm6zC4TlWpVEK+UGCtQ3nTJ8ES8zwP2WwWO9UqarUabMeBQgjmZmeh8Xt2bWOja2+GbojjWLZotSyLebJg11DXNEBRuooFdoWgJifoyYZhIJvNsvAZF5y8fuXKcPv9giL1FAZEHMcIm83d1R4hqFar0kvI8g5a4j2xXdO25U0uGEYd5SqE6FfiNQJWnVmr1eB5HgzDGLhdJgCZEwiCAH4QtBRoxVEEoiiwDENO+Bqvat4D/jD5vi+NUzablbr346DRaODChQt45JFHkC8Uxt5fUja8G0SSed/kLTpgEsZO4SvneqMB13VhGMZEzkGEVtqb4giSgKaqAI/ji1h/FEXIZrNwHYeFniiFzzuhFXI5VPizsba5iYXZ2YEXD7bjSG86eX8RsNxCIDzcQZPN7ET2vEQpha5pyGYysHlubG1lBflCAQe+5Iyk1CgMiNi2WXgF7GEJE17CXLm8ZxKilLKio0SrzFy3CmWxkukQXtBFGMl10Ww2ofUJI4nqT9/34fv+HqVNVVVh8IbxNI6RLxQGCv9EUQS72QRRFGQsC5lsti9TaRB89NFHMC1rpE5qnUASBrkb7jYdVaxQx/UUACb9YGgaPL6i7lb1PgiE9yLChYLG2QuKosgJvlQqsToMvqAIggBRHEPh+k2VSgVhFOHW8jIW5+eR69OH2/N9BEEAENJR3kXnIaRolLyCACFQKEXMPQdd15EFM0a+7+PqpUsoFApf6vxCGj4aAJHnIRb9YPmNWOMrIcs099zscRyjylf3AJDP5XoaBML+6Hr8LO9NG8esv3H7RC/DQo0Gtnd2UKvVmGYM387gMdRyqYRysYhsJiMVUwfJU9A4RqPZRERZkxwR501WEY8y4d25cwera2v4ytNPT2yCHmQcglZ5t8JHAPpSZIdBJptlcX7uAQ4LitbCuXbhvkFhmSZjokURMpkMisUi8rkcDF1nYdJSieUsggA3bt3C2sYGbN6Lut34+L4PW4SNTLPj/ZCkzPZTY+0FKu5ZwUri9zQF4HoePvv4Y2acvqRIPYU+iMMQoW23PDBhGKLRbCKIIswlCtUAdrNWazWZKCv0iLsnawZ6rboJgGKhIJPa9Xod2WwWQRgi4Em55D4VQqCbJgxd340Ftx1XhFkGMQoN22b1EqrK1ErbKmkJAJU/ZL0EzpIIwxAffvQRDhw4gIXFRXa9+n5qAPQ5dlI4bT8ks+8GFEWBZVlSME/TtL7fY7JKuJc3IMUSB4BpWQClcvEDQBISLLDFSjaTwfrmJmzbxtb2NuI4hmVZMnls6Doo2EodvFDN6hEa0jQNMb/nRXOdUaEk7tmkx9BoNnHuk0/w1DPPjLzvBxmpUeiBljxC4qGrVasIeV1Crk22oF6vI44iKISgWCx2ZUkI9pIIK/S7tYWe0Nb2NhrNJiqVivQgxPu6YcAYgK4YiYQ26d/03XFdFisGuuZDBGQiD4mwRBecP38eQRDgqSeflJ8dGwNMEFEiyTyu3tOgkEeZkKdACIFlmvB9XyZ9O7V5lfcVr0sYeP+KMlBo0OLVxW7CKCQhjNfhgwexubWFJm8YFYN5AzQImGHzPGiqilwux7zQHt+LpmktCyGhidTrM93uQypqieIYlIeSMmDS9ZsbG7hx7RqOHj/e9zp80ZAahR4QeYROXkIUxygnqm4psNtAXFVRzOW66uXQdne9z2QRhiE8z4MXBCCKIqtXfd9HeWqKNUIRDJJBTkzEkPsYhCAI4DSboACyXKd+ILRVcovVmOC9V6tVXLx0CU88/jgLhUwKA4RoREjtboaO5HXgYbaJmCKedBZSKYauQ+WKotITHDHuLhg6/VbhqqrCMAx4fZhQhBDMzsxAIUzaJPB9WKbJCtK4eqzIFdQbDUmo6PQd6ZqGJgCayCsI72YUDSzwhZHYxtB1RGEIPwhw9fJllKenx5NbeQCR5hS6IPQ8RDyPkES1WmUusGkilxDnajQaCHmSrJTPd/cQOsVvO9y0MaVwXBeVahXVWg2u54HyHgWzs7MoFYuwLItJAfDJcNDHPxogdBTzPAIFW9X1cun7QVT1ikK5Dz/6CMV8Hg8//PDI++yEQUIJyb7MdxudJE/GgcZj9wBjuYmq5Y732JAgpE1wrwtM0xyIHksIwfT0NHLZLFRCsL29jWq9jlwuh1KhgFw+D9Esx3UcVOt1KWKXhNRwAlreUxSlozckJD16QRpPft0E9TeKInz20UdfuvxCahQ6IAoCxG15BICt2G2uzz6V8BKati352AVhELrQ4IC9D2sycRyEIeqNBnZ2dmBz/SPKY62FQgHlchn5fJ6tXjgLSshsDArB0+/qKVDWQCWOY6ia1pc1MgzW19extbWFJ596aiI9HAT6hasE7pbmUSdMInjU7gmI3sQBb34zSQzy3ViW1TV8tGd/hGBqaoqtxqMIjUYDge+jWCggn8uhXCqx8+Hy4r7vo9FooFqrweHNdgAuewG05NKAzkWj/MC9B8bvQ9GVUBTNAYBt2/j8008HOr8vCtLwURviOGYyFh1Qr9UQxTHMBOPIEcVcgGReAGjR8wd2J4ROSd84juH5vuwyJaAqCkzLgpkIDwlomoZioYA6b4tYrdeRzWQ6xpbbISuWu0yMgiFCgL2J5THx2WefYWZ6GguLiy2x9nbPqZ9URScMsq1grdxVTyExrmGpqUlDJ+6nmH9/AL9HTBMevw/1CelkAbvXs1doJmNZaHLWUD/EvD+EaVnIceaU47pweU6EEALTNGGaJkIufuf7PiJerOe6LnRd31VR7WAElbZ8yKBJc7lg46EkVVWRsSw4rou11VWUr1/H4WPHBtrXg47UU2hD7DgdG55QSpmXEIYo8xij53mtxVxtIRYxkSd54EkEQYBavY6dSgW2bcuKZtM0USwWUeKNejqt6CnYxFYql6UhskVv5z4PQswTj53CR77vs2I7SpHP5yda4LWysoKd7W089thjravQ9nHwJLjwJNqlx8dZccsahXvgKQCQvQ3aEaPVA4j5j6wlEJ/F3hW8ZVlMCp0XKk52uL31oQzThDeAUQjCkIVYOStvcWGBVfarKja3tvZUPmuqimwmg1KxiEwmA0VVEYM9M67vo2HbsHnhXAvobpvPQUJHEooixSDFc2EYBtPhIgSXLl5EtVIZbF8POFKjkEDs+4g7lOUTQuC5LqIogqIoyGaz8INANsexLKvrCl0IryUnNVFWX0vUMmg8TDNVLiPXJ6krjQzYDVzI55HlnksQhqjVaj3567RLCCWKIjQbDVAwQb5xhenace7cOczOzu6h8fZEcpUtjIVgTolJMpkU7UG5jBPv3e3wkTiu7BEtJn4hR91uAIaAwtlIRFEmKn8h0KuRUb/wEQXzppvNJmK+Ai9wIciZ6WmYug5CCDa3tzuu/AkhMA0DhXweRU7vFt+dHwTYqVbhOM6eyV/QTYfycsV3hF3DkElIi5z75JPBjcwDjNQoJBC2r3gSyVvHcRBTimw2K1kSAKROTCcQtF7gIAhQq9Vk0xRBzSsViygWizAHaCAi3dy21zN8PyqPx9YbDTS5ZEA7IhE+Sq6+45ixp3iB2iBhqGFw584d7FSrePTRRye6X9K+em4rpqOJ15N0VIht2q93YnKW/4twDf+hHV5LbkfbfmR/5E7fXY8Jt8dJ73nJ5Nx/0XPgbsGyLARB0HGyjOIYjUZDLnxMrqkltZY4K0lXVcRRhE1ex9ANqqqyIrlCAblcTiaDXd9HrV7faxwSYbZhIVhiyfxCs9nE9atXR9rfg4TUKHCErrsnbJRkYDiOgzCKYFkWaryfsqbrLObeCeLBJaTFGPhBII3BdLmMbA/qajd0m0I0VUWpWJRhLNd1UanV4LVNEqKKNRmWavCkdscCtXFBKc6dO4eF+XnMzs5Obr9y93sffNL2G5RKSqwUWeOvt36QyPeSV6DTKp52eL3TFLTnSvYpIBsFLd7CgInfYdAtjCSMUbKAjXLmXIMXWyqEIJfLsbxB2+dVVcXs7CxURUEQBNjiqqv9xiLyepZpysJJaRxcV/aMEMnjAU9yj4EmfIwioX/j2jWpZfZFRWoUwFZXUZvbLbjaAOB7nmxdGYahbHZf6CVfTFnzklq9jjrXwU8aA7HSGQZSEqMHCCHIZ7PI53JQeGFPo9lEpVaT8WYRqxbHH6ZAbRTcun0b1VoNj03YS5AY8KG/J/IWnTCKd5BEl/M1LYt95/voLbTntyzLAuUFbEImolavw+P/65qGQh99LV3TMDM9DZUQuI6DnWq17zhk0aaioJDPI5fJ7BoHz0OlWpWMpWG+7xZjLcKUlMI0DGi8o+LFzz//QoeRUvYRAOr7HcXoBJp8FQ2+wpbN6bs82KJBeBgEchVpmSZLmI04IQ1iEJIweQGQ47ps5RRFqDUaTCaAx24V7sWIArV+uYwRB47z585haWkJU7wJ0WR3TweOwd8rOmqn700hZI+G1bhQ+AracZxdps6EDXx7YZtlmiBgdTqiNwOwu7oetNeGZVkol0qoVKuo1+vQ+KKrG8R3mKSp6rrO+iNwY+B5HnzPg2GarMXtINdCfCcJ1qBgJGUsC41mE5vr69jY2MDCwsJA5/ag4UvvKfTzEgDAsW00bBu6YQCKgmKh0JG9EvDOajW+Ko8plZ5BPp8fvUnOiLFREQ8tl0oypOS5LurNJlzPY4yQRIHawL1vh8CNmzdRazQm0mKzE4aZ9O6FZPbdhskrheM43reiq2RYVfzdaDQQxTFUTsQojNB8KZ/PM8YbIdipVOD0SJqrCaOQXN2LupocF32MKYXHQ1me5/Vf4SdYSAKCLKIoChPOoxQ3rl4ducfJ/Y4v7tMxIKjj7OlhkDQIge+j2WwiDENkMhmU8vk9HPcoilCr11GtVvcYg1wuB4W3MGx3vQfRl+lW3zAMVEVBPptFqVhkho0XBq2urcGxbSZ1PEm5CQ5KKc6fP4+DBw+2FPtN9BhDbCsmhH7yHncFpL+MRK/PdoPMLRAC13UnnrsQEMVnyfi6ZVnIFwpD9fxoR7lUkh51J6qqQLJhjmR2odVzEGElha/0fc9Do15noa5hrwv31DVNg2WaqFWrWFlZ6ciYetBxHzwd9w5RGCLqE3vd2dmB5/swDAPlUqklvCLodpVqFT5v0Wm2GYN2DDO1J6mnk4BwybO5HOvHzDVewihCo9lkMh0TxPXr19G0bTy6T14CMJhhBVonjHvqKSQmo/0yTqZpMl7/hL0FEZKp1WpoNhqIeZ5NAQtXilDSuBiUqtouo90pHCeMgxDao2DecqPZ7K4C0OmeEnkgSmGaJjRVxdrKCnZ2dvbN8N4rfKlzCrHrtojStT+kHm9dGVGK+enplhVQGIZo8mI20cUp18GLSEJSJRMrm27oRj0dGzwnomkaDNOU0to+rzBVVRWmacIyjLEYSHEc4/PPP8ehQ4dQLBb7jmkUDNJlTW6beNDveaKZY9jqZok+10uoqDq8Enjc3IJQYvWDoCXmbhgGDNMEEoJyk4Cgqq5vbCAIQ2xub2N+dnbP96YoCmMZxTEjT/RYIIicg+/7cDwPURiiUa8zxQDuWSV23PEaC3JGTCkymQwajQa2t7eRyWS6sxAfQNwfT8c9QBzHoIlVVPtDI9xjMVFO8yQpBascrohaA0qRy+VQLJUGkk7oVQi0Z9vBT2coOLYNSily2SxmpqcljVXw3G3bxk61KrWXRsG1a9dg2zbOnD492cEnkJTq7of7hnmUwH59vwBbuYvcwkiNeOiu9lCd9/IWCwpRK5DNZqGp6r4kzQehqorvMoyigdlAhmGgIORoKOsF0eDh4SR6Ka4KnSTLslCrVKRO2BcFX1pPIU7EQtvzCKAUdrPJ4qWEoJjLQdc0BLwFZxRFAKXQdZ1RP4fU0REeQxzHnSUsJhgyaofjeQi5HLjII6iqilw2i2wmA8/z4PKEnMv/1jUNpmkOvOKMogiff/45jhw5gsIE+i53wzCr025V3PcUPB6+H9+14PLHcQyPS2sP+t35QYDA91smOl3XpWfZDlVVR/b2ekFQVTe3tiRVdSohYy2IG2EYDtwDGoDMofm6zuRlogjNZpM1+OEFpF3vLZFgj2Pouo5GrQbbttFsNvf1Xr+b+FIahTiOEfdYPbmuizCKEPg+NF1HJptF07YZG4KHmQrZLHOdR3TLCSFQVJVNVsnK4n00CFEcM/opd3/bJ0hCCCzLklWqrudJ9U0hkKdpGmvm00XvHgCuXr0Kz/MGZxyNysoaYtv70VMAEnIMw2DA62UaBjzfZ/0BfL8ruyzkmkntlclEUWDoumQ0dT2HYQrEhkQvqipRFCaFPqK4oaHr0AoFOI4Dj/c1D8IQGctiEi+9zklRZP3C2soKMpkMstnsPZFknzS+nEaBT+5SpC7xkIVhKHsXiP/DKJJeg2marONZ2+dGAQFYPJYbBkk9nTC3XKDZbCIG0+HvRz8VMdgojuHzeHIURdJA2GArOU3XYRiGTN6GYYgLFy/i2LFjXftSTwJSRiKKmEfD1TY9Hi+O45jRjXlDIs91pWEjXPIi5v0H5HZch0h8PuB1Jj/60Y9Yy0tVhUoIFE2Dqiise5uqQlNV9j/vIazw/0VPYUVR4Pk+NFWF53mwMhlGAR5idTsKhLfg8JyA4OoLhdEgCBDyc018CLqmye9/EO+CECK7mO0H8vk8Qt6GdqdSkQwgYUzHCd0ILTOdK7bSOIbN6eeZ9lxDGwhh3drqjQZs20aj0fhCNOT50hmFOAwRc0ranomdh41Es4+Au9GaooBwl3MYN7UnkonkREx20sVGAq7vMyYKL8IZFCqPIWcymd3QAp9MhIFwHId14dJ1XL9+HYHv49SpUyOPlfJJXEz2Hp/sXdeFx4vxXMeB47p72DUUjGVFFAVaYqIGICc80UdY596OkpjA1cTE7jgOzp07h2PHjsEwDJbUjCJmOBJGJA5DeGHI/ubvxx2MjJy8eJUseEJYNwyW3OfGImNZMgFq8b+TvbaH8SxMXYenqgiDAM1mEwqP0Sf3ISY3cV2G9aYEK2eY/s7DolwqsX4mrovNrS3McM0kYFfocORnhxBomoZ8LgfX85jH4PsIg2DXa+gEfg1N08Tq8jKy2Syrs3jAvYUvn1HgBTGdbh/HcWSYwbZtuEHAHkrDQEb0Q26reJwExOp1v1zwmBu7GMwdD6NopBCVqqrIcJ15kcAU/XKjKELD83Dh4kUsLi2xUJXrQtc0pjXUFiITCcx6vY5avY5moyF7SggdHcEsomCuvmWaMHl4q1Asso5wfPIUr5tdKlcr1SpoHKNQKAxctb29vY1z587hyJEjLa1Xh0VMqezYZxoGfN/fNXiui6Ztw3Nd1Go1bPDXwkRYkVCmLpo8f9OyUCgUUMjnUSgW95x3zL2BKAwlU45yUgQBC70Ij0BLGJxRQBLtMAft7zwKZqanEayvw/E8VHZ2MDszIz2fmEvPjIKkxy6MgOM4zGtwHBhRJGs/Wj/IiA66pqHeaKBRryOTyYx1r9wP+FIZhTgMQUXD77bVkIihRzwJ6/s+4ijCzMwMcoJuNkGD0NI8hd9cSbrqJCFkizXOmGg0GmOfg6Iosk0npRR+EODy5csIggBHjx5l1D/Xhd1sMgPrurAdB816HU3ujQFcMjyfZ/Ud+TzLafBVs2i4Yprmngd+mBUpTdAV72XhmqIoHamLor+FAKUUIb8fPc9r9ZpcF47jYGd1FVcuX5afk3z8XI41W8pmkctmpR6SorDe3kKcrt1Qj3VeibwIAbuf9+M+pgCmymX46+vweTW+oiig3CsbZ4VOwLziOI6hqSryuRw834fHG/3EcSxrHdohnoW1lRXkeFX2xOVi7iIe3JGPANqlUE3EEUPe5ckwDJmMFbK5E4/1d6hVEPkNSikroJnA8XyeQAOlyOdyTDabHWzsfctj+D5qtRquXbuGQj6PyxcvosrVKpMudi6XQ7FYxOKBAygUCrINo2BvDTpJDduUPhm2uS8lLtomUUIIdMOAzluwtoNGEXweuqvXaqjXamhw41vllbYysU4I8rkc8vk8DMuCbduYn5+fbJgjaRQIgYLOhWSjgoI9oxTM+JVLJVQqFVRrNSngOKnjCc9D1HqoqsoUDQA0mk3kRMSgDbqmodFsIvB91Ov1fdH5ulv4UhkFwThqn0qEgFjg+8hms4x1YZoIwnDX4u9XIq2DsSGEgE6A0RFTylblYGEjTdMQ8eTpqFOj4zjY2trC1tYWKjs7qNXrMq4fxTHjrmsajnI6aoHz2QkhMg+RXOU3bVvScxXCZK07JWpbMGT8OE5MkPcC/QoRu1EgZX6C5yjCRK5CnJNhGJiZncXM7Cw0TYOqadBUFb7nodlsshBdo4FarYbNzU04ngfCi/5y+TyKhQKmp6cxMzOD6enpkQxFe52CqMWZREEb5dch+Yzk83kW3nFdVOt1FAuFiXkm7eM2dB3I52VnRGEY2q8T4W1RK5UKdMNAnjcSehDxpTEKcRh2DP8Enocql6nI5nLIcMErALtJt/1gBJHenaHaq59Hgc1zJIJhAbG/Qc+FUuxUq9je2sL21hY2t7fhcBGwXD6P6XIZC4uLKBQKLHTk+/jGN7/ZdcIWjKcoihBymY0wDFn8nO52IkNb8phwA6EqClvpKwpEB7ZBkqJy1XyvE4Bt10VUZFOenxGTf8QT1L248gq/FipPDreHg3RdRy6fx3xCyVMwZFzPQxgEqHO9rosXLiAIQyiKgnK5jOmZGcxyQ2EJT7kHOlFSCQ/rjAPZKa/D/TQ9NYW19XVEXJssO8GmUDJHwv/XVBW5XK7FMGQ7dCZUNU0+H7VaDTMzMxMb093El8YoUB5CETK4AFuBbG5tIeAc7iJP2FVrNdA4ZnUI+5T8HWSv44STwjCEx8M3uWxW3uDS0HTYV8grR7c2N7G9tYWtnR1EYQiiKJgql3HowAHMzM5ienoaVoLSWm80sLGxgWeffXagFbyqqkxOgzO5KFiYK+bUUMniiSKZDwjjGKLmtJ1CKXRwRE9nhbPFhNEQUiT7xexKIjnRi5abURiy5DmlaKiqlGRIrq6TrULlqfFzSTKj1DEqiE3ThOf7UDUNxUKhxaDWajVsb29ja2sLK3fu4PKlSwAhyGazmJ2ZwQz/KbR9Ljn+9rGPmnROhou6QdU0lMtlmatyPW9iKr/iulNumCmlTFSSG4aIh5sFyUF8hgAIeQ4CYDI5+6E8vN/40hiFOAhaJsI4ipi2Cn9IZmZmpOUPeEMcST+d9GQy5CQ/bDiJUoo6DxsZptmqWpkojms2m9ID2N7cZMYQrOhpZnoap0+fxsz0NMpTU9B6rMgvX7kC0zRx6NChgca3Z7yA9ALaV1/ttQRCyE9MHOAPbRTH6LYuFQ3eTU6n3dNdi7T2exY0YZsz1WzHgabrso6EImHUk691+X7iOGZNjAhB0C6nADZ5ili88IgElbaTIRtVSl1VVeiaJvNMVmJ1XeQtYY8dOwaAFXBub29ja3sbW5ubuH3rFpsceW9lYSSmpqa6FuAphCAeMowkvstBDHg2m4WVycCPIlRqNRQSrT7Hhlg4JZ4Xwo2ky6nQrudJRWTpVWgaPNuGYRio1+upUbhfEfNuaYJ5EoYhdra34bkuVE3D7Nxcy2QUck0jTdf3LZcwbLFPi9fQ5yETTXUUQloksT3fx+3bt3H7zh3s7Owg4CuafD6PmdlZnDh5EjPT08j36ijXBj8Mcf3aNZw8eXI8SmAXCA9A5HZoYkUtqIjit1htt7yWCMMI2m/7JNXtagrVWFHoNQwUQgDurVBKZcN5UfiY9GbEGO6Gfo5pmsyLbDMK7bAsCwcOHMCBAwcAsJBfpVKR+aTLly/j3LlzMgZfrdVw5PBhTM/MtORuRBK413csrr/IHQzj0ZUKBdi2DRrH2KlWMTOhBK9YHERtXjUhRKoBeLxjYcyprOxkKBzbRnFqilGPXbfndb4f8aUwCtT35RcbBAGqlQpc14WmaZiamtpTWSqKvCZWqNYymPHCUf2Mg6y+phTZXA6ObWN5eRkrq6vY3NxEHEXIFQrsgV9awvT09FiVtTeuX0ccxzj+0EOjn9QwK8nE36Lf8iCIo4gxbjRNruzFsWX3tuTfgOx1bFmWTJYDuwWHsr5E/J94PzmxCQ9HUZSe13rgENcY95Ao2BMtOwe9x1VVld6BQKVSwdmzZ1GpVBCGIX70538OQ9extLSEpaUlLCwsyLxcrzBSkh02LBRVRbFQQK3RgO04yFjWLmNwAlB4bq99ISGkP4QX2rRt1oOaEHiuyxRceRX2HhXW+xxfCqMQ85BBHIawm024rit7LLffQKLsn1I6VrOQjphgfkImogEZihJFYdVqFTs7O9ja2kK9VgNRFMzPz+Ppp5/G9PS0TCqWxhTwiinF5StXcOjQoaGqpDuczODbjnANxWQrQjODQkzghq7vvyQFeA3FIOenKMAYSVzTMBA5juwTMgp838eHH36IRqPBvIqDB3Hw4EGsrKxgZXkZN2/ehKKqmJ+bkwYiGUoRE+3YDCXCJLyz2SzCIEClWmWaRhOqE5DeZYf3dF1HTlFYniEM4biunE/cZhNmNsva3TrOLtHjAcAX3ijEPMEcU4oGNwgAWA1CPr9nQhJegj5CuX9P7EPCWqw+IgAba2u4efMmlldXmSqmYeDA0hJOnz6NxcVF+ZAEQcByBxMYz+raGhqNBp5/7rmx9zUoRJXzoIh53gG4d2J4g15rWcDYf4fjDAe6YUDhVdNhknY9IBqNBt544w1EUYSvfe1rePONN6DrOqanpzE9PY3HHnsMjUYDKysrWF5extmzZxFTiunpaSwtLmJxcRFZXl8wLsQeivk86o0GfN9HpVrF7CSZPz2MsKaqyGYyaDSbiIMALmGikpVKBSfm51HjKqqpUbiPIGoTREtN0VYzm8127rPs+4gpZW0r9xNj0lwD38fq6ipWlpexurYGPwhgGAZmZ2Zw5MgRLC0tdZwER9HP6YYrV65gamoK09PTY+9rEIyiICs1pbokbe8q+hx/YKMwJhRFgW6aiF2XCfV1Mwp2gPiDO6AfrQGaAuUbx7E1Dbz11lvIZDL42te+hkwmgyAM90hq5/N5nDx5EidPnoTveVheWcGtW7fwyaef4qOPP0Y+n5chzKnp6bG/GwJW7byxsQGX90jIT0qQkdKejC9N05DJZFjlvu8z6nOzKSm5PpeCeVCqnB+MUY6IOIpAgwCObSPkOj0m1zbpxgrwRSe1/QgdJW78YVe8AGsfeuv2bdy+fRsbGxuIowhT09M4+cgjKJfL0HQdmqqiWCx2rfpNdpobB7V6HWurq3j++efH2s8wGGXE97pwbRjsp/5VO0zDgMel0WNeywI3BL2yDXpxC/HFTeB2teUz0adrqB2IUf7aNF566SU5yUVRxEgZHUD5Auvw4cM4fPgwfN/HxsYGlpeXce36dVy4eBGWaWJpaQnHjh4dy0AYhoFioYBqvY5KtQrLNCcyERMA/SgAqqrC4LpWjuNAyWaxs7ODXKEgxRwflO5sX2ijgCBg2jG+L+l0iqL0LMgJwxDRJPMJHQrmKIZTQ61Wq7h27Rpu3riBMAgwt7CAJ594AgcOHICVySCOY1R2dlibQJ4QTVZmJo1DS6J6DFy5fBkmjyWPC4LBkqykS2y3F6RRuIfyFhOf5idgOFRVhU4JvBsVODduwbpYBb1ZAeLe+z6yrODow0+xhD0gFVfbPQUpbS5e4N+tbhhYXFrC4tISEMfY2tlhYaY7d3Dt+nWUikU8dPw4Dh85MtDCrKX+Brza2XXhBQG2KxXMz84OdkH6QCjAdntuCACLNzUKwxC24+DO7ds48/jjAJgSQGoU7jFoHMNrNlnrSfDuUFzsqlcDDdF+cmLhoxFXf1EY4vbt27h2/Tq2t7ZgmiZOnDiBY8eP74lP2o4jdWGSxixpCJKeAwFkYdUoK2gvCHD9xg08curUxLSEBjGSo0yF94MQnvj+B7nSA8lDjOFR0B0H9I2boBc3od7eATVieDGFWR9iJz++CfzCYwDYIgqESU8LBlevwjpR5EUBQFEko+nxxx7D+vo6rl27hg8/+giffPopDh86hGPHj2NqamrgRRRRFFbtvLEBPwhQEzIYE4BcULUxqZJnm7EsJt0Sx2g2GthaX0e2UJBy8w9CCOn+H+GI8JtNNGs1UEJg6rosGurlJQjte0zKU+ixquiGmvAKbt6E7/tYXFzESy+9hMXFxY4TWxRF8F0XlNKeyax270GszkfJa0gaKi90ulsYpSr5fu241g0D5RVGNAjxX1xH/P89BwR84QNA1QlCUPgGYHTWi9w7xtzugkmGnzRtj0ZR5w+zGo2onaJKCOYXFjC/sADXdXHj+nVcv34d127cQLlYxPGHHmLeQ9uk2ul+0HQdpWIRlWoVtXodlmlOjF5OKEWM1me4pVsdIchmMmjy/ua3btzAqceYAXUc54Fo2fmFNAphEKBZqbCqZN49Kk56Ce3gk6PotCXkBMbCEA9uFEW4c/s2rl27hq2tLRimieMPPTRQ9zLHcdh5Dhg/JYQphYoS/mFXnTGluHL1Kg4fPnxXi3JGlakQRvBByCkMjBE8BbrWQPy/fwaErZOx6QORQeAbdHCj8DwLGVJAhmZ1VZ1YoadlWTh1+jROPfII1oT38OGH+OSTT3D48GEc595DEu1XI5/Py258Iow0kYUBYZpbwlvopE+mKAozDM0m/CDA8u3bWDp0KDUK9xL1rS1EYQiNN4Sp1ZlvvMdLEJMiv5lj3rpxvzsniVuoXq3i2vXruHHzJnzPw/zCAl548cWuzKF2hGEIn2vqDCMIJtxg6conk899vIfV1VU0Gg28MOEEc78V8qhR9JiHA++HnMJARm2fks308409BgEAtABQTIKQUIQqoPUqf6AAHpkBZjJMigK7Vd/dEs0dwRcme7yFdigKFhYXsbC4CNdxcP3GDVy/dg3Xrl/HVLmMY8ePY3FhoWuCfmpqCuvr66yVZ7M5Xl1OYv/ymenxPamqikwmA8dxsLmxgUK5jHw+jyAI7nv11C+cUXBtGzGvRM3xRhmU0r1eQocHNOaT4tjUxR43C6UUt+/cwcWLF7G1tQXdNHHs2DEcO3Zs6ESUY9uIwaor1SFileL8xCNJdt/oayAuXb4sNW8mif3i3MgJ+T4wCoNg3/yZqPMErFBAD4BII/BNCs1u24DuitNRAOpffqSFGiy861Fi5cNQcK1MBqdPn8bpRx7B6vo6rl29ig/PnoWqaVicn8fRDl61qqoolkrY2dlBo9FALpMZOabfPk5BUe2V/5E9zoMAq3fu4MQjj8BxnNQo3E1QStGsVACwiZIoimztOIgEcItGzqTHBmB5eRnnzp1DpVrFzMwMnn/hBRw4cGCkVWwQBPB5od3QZf09ahW6GggAlVoNG+vreP6FF4Yeb98hoY+nMEKNQrLj2j0NHw15X+1HvQJ55gDwvc87egumD3g6ga9RWApAQgCImUEQ7iQAcrAIcqzc8tmQ5+qGnmzJiK07FQWLvADOsW1c4ay82ysrOHLoEE6fOdOi95XLZtHgRW31RgNTE2yVqRAiiSndYBoGgjBEo15HrVaDpmkoFosTG8N+4AtlFBzHQRwEUMGMgMsTsF1zCe2YhFHoILa2traGc599hu1KBQtzc3jttdfG7uPqOA4AFn8dtk+ALGDr80C2GAgA165ehW6aUiRtoujhjtMBwlqdECWYR/c00TwE+wgYgIE0QniJlDNQ/m+nEP+f5/e+FwNaCMSgcFSKjBBybRuw8vVje56NIAhY8neEZ0Yw4UY1gJlsFicffhgHl5awsrKCq9ev49atWzh27BhOnzolF4KlYhGbW1to2jZy+TyMCXk1MTuJnt8H4USXOI6xubaGQqEwlObUvcAXxihQSlGvVplB4PH1nl5Csn5A8Pn5WyObhLabY2NzE5+dO4etzU1MT0/j61/7GuY4bzochKnRBb7vS9XOzAjiX0qbBzAIYkpx+/ZtHDt6dA8N9W70KhgpySyMwqQHMyoGPYd9yiuQnz4BcmsH8YerIDEgqggoGPPItwgCgyLjdfiwpYE8t3cxMC7NctSeCwKUUiiqimPHjuGRkydx5do1XLx4Eddv3MCJhx7CI6dOsb7fhgGHt42dHaECv9O3EXOJ734UYk3ToAYBbMeBw39So3AX0Gg0gCBgRTmmydr19fISOjygo65I27G9s4PPPvsMa+vrKJfLeOWVV7CwsNA6OY16DEplXULGskZaAQsVz2GmnbXVVXiehyNHjuzdX9u5TDoMN3KS+T7puDZKoWAvQzv03igFJQTxjR1EF7eAmLKwUAJayBYLIdAx4UxePAxi7J0uxjYKZLzWncn6G1XT8MjJk3jo+HFcunQJVy5fxrWrV3Hi5EkcO3YMLq82dj2vpUnUgAdqeWaFHPggo1Z4q856vY5qpYJsNotisXjvZVe64AthFKIoQqNeh04pMpYFSungXkIHjBR/phSVSgXnz5/H8soKioUCXn7pJSwtLU10per5PqIwhMKFt0YCV+McpnvXrdu3USyVUBogHrrHSADjJfDHmDA6jedeYZicQk/F1D7XIznBimtPP1xG9IdngSDu6jrpARCrBL5O9xgF5WtHO34mCMOxE6cKIaxvwQignAWVJBJomoYzZ87goRMncPnSJVy+dAlXr1zB4cOHMTU9LWsXhoE0XHwxlfRCRfvOXtB1nTXeqdWQ5yGk+7UBzxfCKNTrdRAuymXoOhq2zbwETRvMS+Du+qi67rV6Hec++wx37txBLpfD8889h4OHDvU0LiOtjiiVHlAmmx05Tj6s1EUQhli+fRunz5wZ7XjsoPJ/ofuUNBa9rofYfliInMKkqq5HxSir4F6rUNppn90kQChF/MNriP/4XN9lrR4AnkYQ6BTU3b3m5JFZkIXOzLggCIZivnXEGN6CYEV1MrimYeCxxx7Dww8/jAsXL+La1au4fesW5peWkM1kRhbM6xTuGuQezVgWKrUaHNtGrVbD3NzcSMffbzzwRiEMQ9iNBgzuJURJL6HTSrpXeIg/WIOu6Gzbxrlz53Dj5k1YloVnnnkGR44c2Temi+t5rFmLqg7v/iagiJj1gA/hneVlhFGEw4cPj3zMJEjydxevgr1FRmIdyX2J/dxro8B/D3Mewigkz1/sZ+AObTFF/L9/hvjPrw+0uRYBKghiEAQahcETzqSLlwAwtd5JVP+LpjTDQq7YezxzpmniySeewMMPP4xPP/kEd27fxurqKk4/8ggeOnFi4OdVel0dnptuLUmTUFUVhq5jc3MTmWwWs7Oz940Xm8QDbxRqtRqUKIKuadA0DU3BOBrUS0i8PmiREQVw/fp1fPLxx1BVFU8++SSOHTvWs4/xuKBxDJd7CTne4WlUiJV53+Ihjlu3bmF2dnakpPagUAjZlQ9IehUdVsBSGI+zV7rhfihcS6JjWA1g3hJaF/I06bmOAj9E9O/Ogn66NtTH9AAIubdghABKJsiTi123dxxnYiveXvLU3TBMxXo2k8Gzzz6LuVu3cPPWLXz08ce4c+cOnnnmmYEqjUkvCmo/cgB/L5fNYn1zE81GA7VaDaVSqe9x7zYeaKNAKYXnuiyXkMkwL4E30RnaSxDvo/eKzrZtfPDBB1hfW8PRo0fx+JNPjkZxG9Jddj0PURyz1caYsUhRsT0I68NxXayvruLpr3xlrGOOio7Vqglj0Em/SRgN0WBnz7VO7HMc49pybP436TCmZPGXXG2i9T7bY/j459tHN9AdU3UR/Zt3QW9V+25KnlwEOTGN+P84B4CHkAyCQANiAqhfOwaidL9GtuMgM6EGMoQQ2UVwUEgjMuBnRFtRXdcxv7CAa1ev4vs/+AEePXMGD5882dO49HpeCQD0YFKJZLiiKDBME5WdHdTr9dQoTBqe54FyLXhNVeH08xL6oFd8MukdaJqGV776VSwsLOwLdXDPseNY1lxkMpmxXU6F5xRiPln12tvtW7dAFQUHDx0a65ijop/h7Hgt+KQvJmelU4OdNm8k+bnk6yKEsyd5C37dkuOjrb2fW7YXYaAhahY6GcS+n1upI/zX7wA7Tt/9K994CMpfPQMoBGj4iP/sMtQYUGPGwQ+PlaB/60TXz3u8eczEeiITAkVVB/aQpH4XhiOH5PN5NJtN5PN5vPDCC7h98yY++fRTrKysdPUaKCClPboOH9gjliffS4zP0nXYto1msznwmO8mHnijoESRNAA+13bv2k93gBtHJGGTaPcOnnjyyZ7y25OG47pM0E/TJsJYSFI0ozjuGfa6eesWlhYW9qhT3i2MWgORDEP0mzBa9p/4u9txhx7NiPdJJ2+y157o5xuIfu99wA17bAU2+f7Co1C+fly+pPzcaeYx/OQGDNdD/HAR0TMHQbTu94ZjM02MSbaalIZzgO9c3BvD3iMKISgWi9jZ2YHjujjz6KM4eOgQ3n/vvc5eA6XMIAwwLmWAugvdMBDUanAc576U076/RjMkfN+HAnaRwyhCHEUg6NILYYAvVK46+CTZ1TsQ2KcioyTiRC5hUm46wBg5cRyzG7iLUag3GtjZ3saLL700seMOg3EaASUTkPc6mTdormoPOmzfbQ/0rVuI/teP+zbJga5C/c4zIE8s7HmLPDYP9bF5WHEMv1ZDGEUsZNnl/rB5Vf0k78thvAWp3TXC9yvlL4IA9WYT09PT+Oa3voVzn33W4jXk83lWpAaw8FA/zxXdvQUBTVWhqCoa9fp9qZx6f2TgRkAURQg8Dwql0HRdCnPphtE9pNAPwiiAJdB+/OMf4+z77+PggQP49re/3WoQhmDvdMKgt7HnukxwrK2BzrgQhq/Xw3fz5k2ouo6Fxe6Jxv2EKLIbBfcL8whoC08NAdLh/trzCqWI/68LiP6Xj/obhIIJ7b9/paNBSEJRFGi8S6GonO8Ex7aZjMOE+fZ7wnLdwCfrUdl+pWIRBCwSEIQhVFXFE08+iVdffRWu6+K/fv/7uHDxovQ6B33auxIbRJ6IsKZEdrN5X4aQHlhPweOS0bqmQQELHQHoPHEO4Y7GlOL28jKuXL4MTdPw8iuvYLF9UrxLYSNQCs/3AUrHoqB2gqIobFXTLTEGZhQOHTp0z3j+41zlB6k3c1f0G3sQI/qjj0Dfu9N/X0sFaN99AZgeLP5v8IVW4Ptd7z3btlnoaNLXmOeB+jGRYp7DGfU7tiwLpmHADQLUajXMcPmL6elpfOOb38Rnn32Gjz/5BHfu3MGzzzyD/BAr+o65ukQS3dB1OLYNm9dU3WtvNol7v4waEV7CSxChI2BIXfc2rG9s4MOzZ3Hus8+kd7DUaZV8l75ALwgQRREIbwo+SSiKIpPNnbC1vY1GozGx2oRRMI5RuJ+qmUcNH/Xc2g4Q/au3BjII5NQstP/+lYENAsAqcAmAMI670jAd151s6CiBgdqzcm99HG+wWCqBAKwhj7/bZUhRVTz++ON49etfh+t5+P4PfoDLly8PFNLs6r0kXtM1DVEUoV6v9/TG7gUeaKOgck9BeAmapo0cOqrXarh06RJCHoba2t7G5+fPY31jQxocAGOHjeSQBthGhI5M05z45Kb28RRu37yJTCYjBfzuCtrPcYzrLJhV49QoJAvpxMqv/Vvo960k9zEKOk54mzbC3/gx6OXt/p9/6TDUX3oRyAy3WCKEQDcMKITI56sdtm1Pjnm0dwD9r22CBjwqTMNAJpOBQghqtRoA7oHw52J6ehrf+uY3cfz4cXz08cf44IMPBmNH9aiHAna7O1YrFVlse7/ggQwfBUGAOAhgAFA1DQFPeI0aOtrc2MCbb74Jy7Lw0IkTLN7XaOD2nTu4fPkyVFXF7NwcFhcXsTA/P1G2RTeEYci6WlEKax8UFQlnIHUqYIsoxc1bt3DkaPdK1ruBPS44ZcJunb7Nlgk8Ufg1ttgadlf6naaCQfYsRduw95zEa7TttW6Irm4h/N13gEb/3pnKf3MKyk8/PLJna+g6At+HHwTIdKj7sW0bs/u4aOinoCrJBGOGN4v5PFzHQeD7sB1nD3tRVVU88cQTKJXL+OD99+G6Ll544YWetHcCgCoKCxm1DJrKfaqKgmajAdd176tk8wNpFHzfl6GjKME60jpNnn0eiNu3buG9997D7OwsTp06hXqziWw2i1OPsA5TtVoNq6urWFtdxYcffog4ilAql1mjj4UFTM3MQB11Fd+DveR6nuyqth8qn2LMnVY962tr8Lsoou4rEgnZFnkH4Z2J+oM+uyGJytj7InzUFjNuqVzusK1MSIIbNf5edHYZ4R+8z0TtekFToP4/n5K9lEeFrmlsYg7DPdTJmFK4Eyxc6wThmXX7vicVItR1HflcDtV6HdVaDfNdDJ3oS/72W2/hz//8z/HVV17p2bxLQYeFBL+HFUWBqqqw78O8wgNpFMSEQRKurWYYw7mRlOLCxYv47NNPceToUXzlK19Bo9EAaTRkDJUQglKphFKphFOnTsHzfayvr2N1ZQU3btzAxYsXoWka5hcWsLiwgIWFhY4rqm7odsPTOIbvusxLGFUJtQ+EoRHJ9WQM9OatWygMqIg6LuQKX9SH8CrkPRozQz4wk1pFTgLDTF7txkN8P/F/vYLwjz/r75pkdKh/5zmQkzNjjFgOBgZfePlB0GIUXB7a3LfwET9+L09PVKyPK2NCAWS5UQjDsGMTHDGCubk5vPrqq/jJG2/gh6+/jle++tXez0knb4FD0zSAUjTq9dQoTAKCrufz5NCe0FEvGiCl+PDDD3Hl6lWcOX0aZ86cASEEqqqCECJbDLbD0HUcOngQhw4eBI1jVCoVrK6tYW1tDR988AEAoFwuY2FhAQuLi5iemurNjOjiKXieJ/ve7ldhiyi5j3moRRiJcRVRO6GlyrdHzidpJMfN2rTXnNwPGOmhjynC/+1jxH9xvf+2s1mo330BZLEAJCaZceo9dF2Hy5s60YTm1n4UrnVCV+kLXlBGKZWyLaOAgnk9iqLAsiw4joOmbe8xCsl7s1As4tVXX8Wbb7yBH/3oR3j5pZe66j/16lsiWH33Gy31gTUKCqWIokjqqeu6vpfC1uEhjMIQ7777LpaXl/HsM8/g2LFj8j1NVYFu2ujtcgOKgqmpKUxNTeHM6dPwfB9ra2tYW13FtatXceHCBRi6Lg3EwsLCnlilAmAPr4NSuJ4Hug801HYoigJEETtf/mAtj6mIKla3I9eKiP2Mmcy/X8JHY3k7bojw994F/Wilb0abHCtD/e+eBwpmS24lMRA2QZFEC8wBrrGmaVAVBWEcIwhDufiybZs1etpPTwHoSk+VuTBFGZmSStEaPs3lcnBcFy5XEOi1oMhkMvj6q6/i7bfewo9//GM899xznZ8ZulfnSkDs306NwgTAv8iAN5vpGDrqcKN4noc333gD1VoNr3SoP1BUldHwOlDwOj4+iZW+aRg4cvgwjhw+jJhS7FQqMhdx6733ADAmw8LCAhYXF7v2aPY5DVUIZ+0nFFUFCYKWB+PmEIqo3aaUUSfiYbvBdUPyfO55nUJiMhvmutCKi/BfvwV6q8qvS/crQ55egvo3nwb0HitmcW3b9JnkmBLvt8Pg9MkgCHaNguPA0PXxeykMgE4aUCKPOKonKMJySVimKdmMTdtGIZ/oIdFhDJqm4ZVXXsH7H3yAd959F7Zt45FHHmn5ngl4CLPDQlN4503udd0veLCNAu9etIfD3yF01KjX8eM33kAUhnj161/vOCmLUA3l3GzplvZaUYmbJXHTKIRgZmoKM1NTeOzMGbiui9X1dayuruLSpUs4f/48TNPEwsICZufmsDA/L6U5hMqrsQ801HaICVNMon4YYm1tDU899VTH7fe7ZE+Gjijt7m0Msp+El3BfeQqDfuZOFcG/enswUbtvnoDyV0+PxjBKGuFkMl9cN07r1Q0Drucxujb/Xpz9pKN2GGd7/i3iYxtWrl54st2+l2wmgyAI4LQbhS7bE0XBc88+i1w2i08/+wy2beOpp59uWYx0yx2K8JHnunIheD/gwTQKUcRYRyJ0JCZzJNy0xJdSq9Xw53/+5zB1HV977TXkusRBFe6qghBEvOxd7LcnEqutTjePZVk4duQIjh05gohS7GxtYXVtDaurq7h27RoIIZiensb8/DwyuRxy2Swyd6FVn8JzKMIorK+ugsax9KA6yVLv63iwG04bZzJP0lHvNYZlyMTn1hH+j++2idp1mFYIgfILj0H5+rGJjFPsE8CeJL+maVC5HlHI2282bRvWXaBmC7S37JSewhD5hPZwUSdks1nU63WEXJlYED16UpsJwZlHH0Umm8WHZ8/Cc1288NJL0jAQdNZDEnm9MAxh2/Z9I6P9YBoFSmWIpyV0lGSxcPiehzfeeAOZTAZf+9rX+uoHqVxmOYwiGGKfw0yOPWimAKOCzs7OYnZ2Fo8/9hgato3VlRWsrq3h8wsXEAQBLNPE0oEDWFxcxPz8/Ng9cLtBAZu0wjhGTClWVlZQKBaRyWRkE5u7iUklmaXExX2w8hLnMohRiH5yA9EffdQhf4VWbqOhQv3OsyCPz09snL0g5OiDMJQ9mZvN5l0vbJTNlcA8hZjSgSVYBjEIAKsfsDIZ2I6DpuNIozCIx3fs2DGYpom3334b5z79FI8/8cTu8LuFkPh9UdnZSY3CWIgi+L7PejLzsAtFW+yRENA4xltvvYUwDPH1r399IEE5sfJoKe0f0TUfJJGXzWRw7PhxHD16FFs7O9jZ3kajXsfG5iZu3LjBQlGzszIXUSgUxloBJ+PGiqqyhyWKQAGsrK3hyD2UtWgx7hPAPc8nYDBPgcYU0f95HvGfXur4fstniybTMDp8dycQoRYQhiGiOEaj0cDx48dbWU77OQBCdovZOMkE6O8p9AsXdUI+l4PjOHBdd2hp66WlJTzx+OP45JNPUCiVcJTX+nQLIQnKdKNeH/gY+40HzijEQouFswM66vzzCfmjDz/E1vY2vva1rw0c/1R5+EjQUke60fuEk1o3Zdt4vg8CxoN++OGHAQDNRkNSXs+fO4dPP/0UuWxWMprm5+YGSvSJB6I9kahy5kYYx9je3obruvdMERWAjHHTAQ1qN0T3Ufio33nQIEL4P5/tq2FEKAEOFqB+93lg6i7F8hOQRiGKUK1WEVMqV7bJCbeFBjvh60/YjhHFMeuJjO6GX4xolJamhmFA1zTEQQDbcVAcstr4xIkTqFQqOPvBByjk85jmQnudIK6XfR8lmx84owAe16Rgrl431tHVq1dx9do1PPPss5idGbyQR9U0Fr+MosmsWBNx2l4QNNSkDHEun8eJfB4nTpxAFIbY3NzE6uoqVtfWcPXaNSiEYE7IbywuIp9IjEkDQGn3B5Qw7XpCKVaWl6FpmlSKvFcg3MMbZzqhD0j4iDY8hP/DOwNpGKmPzoH8rWdBzclXtw8CIfccxzE2KxUAQLFD0VaLgRCvTW4QIIqCiOuTdQsdDRoq6oVcLoegUoHtOMjncsPdS4TgK1/5CprNJt566y184xvfYCHZtnsgea2c1CiMAVFtjA43G7/IGxsb+Oijj3Di4YdxbEj9HiEpHfKQyn6DgBXgRWEIoihdtelVTWP1DouLeJJSNJtNlotYXcUnn3yCjz7+GLlcTnoRc7OzuzdyjxWbqqoIwxCra2tYWFjYF0mNYZCUtxhnH8D95Sm0j4SuNxD+zlugG/056sorR6D8t08iBh2or/Z+Qdc0BEGAaqUCy7L65ro6ehBjjkEhRApUtk/Uo4SKuiGTyaBWqyGKIrieN3Q9hqKqePHFF/HD11/HG2++iddefZWFaxNjixLn4Q1QG3G38MAZBSqMQmLy1hITWaPZxNtvv425+Xk8kUj0DAqNex/SU5jUxJLcT9tNK6qyB1VDJYQgn8/j4ZMnceLkSYRBwOQ3Vldx584dXOEifnPz80x+Y3Gxa+Wpyhup7FQqLEZ8jzGJqy3ZR/fBA9apiI5e3Ubwu28PJGqn/twZKD9zkt2TXSrt7xY0XQdxXdTr9aFDKhMzEAkWkpJgB4rc2KQWAoqiIJPNotFswrbtkYr0TMvCSy+9hD//0Y/w/gcf4Pnnn2959kM+XpUbC7vZHKpnw37hwTMKYQgax7KlXRiG0igEYYi33ngDhmHghRdeGCnRqKrqbk5hv1aaiZh5GEUIfH+oCmb5gHE2hqqqWFpawtLSEkApavU61niY6aOPPwb98EMUikWZrJ6ZmZErEk1Vsb21hThBRX3QMUoz932HqAl5/w7CP/wACPuL2mn/769Aef4Q+39CyfdxoCoKVEVBo9nEgTHuleT9Kwz3UGcn5C0UpSVUNGnPULTs9IJg5F7K5XIZzz77LN557z2UikWcPHVKspBCPpepnPBRr9dTozAsKKVytSSoqILCSeMY7777LmzHwTe+8Y2RW1eqPKG276sybhhc10UMViDUT8NFJoz7FNMVi0UUi0WcfOQRBAkv4vatW7h86ZIU8VtYWMDc/Dy2trdRKBRg7pP43jCYxNR3P4WPaCJ8FP3ZZUT/x2f9P5Q1oH/3eZCHE5TPXjz5uwhKKXzXRS5Z2DUqEuckq9n7eOeUGwRBmR43d9ALuq7DNAz4vo9mszkyZfTgoUM4Xavhs3PnUCgUsLi4yCR6+Lneb3IXD5ZRiGM5WZuGgSgMEfGk86fnzmF1ZQWvfPWrY2mTC1duT1XzfoAQ1nWJUpiG0bWKVxqDTsJgfaDrOg4ePIiDBw8ClKJSrTL5jbU1nD17VrI5cvk8NjY2MJvMRTyAkBMG7g+jAEoZ5fQ/fo7oL2713ZzMZaH93ZdBFvZOut1ojXcTjuMAhExc86g9Qd3tPEV9AsHd+X5zuRx834fDex6M+mycOXMGtVoN7777Lr7+6quy/kEWyFKKZqMxsXGPgwfKKIhKZoCtrEUccWtrC5+fP4/Hn3gCiwu9m5L3g8p1zgkh8H1/XwW/giBg9DpVZUYBe6l8LYnFcR8CQlAul1Eul3H69GkEvo/LV6/i008+QaPZxF/8xV/ANAzMz89jgfeLuB+8h0FBOX89iiLElDL3PDHZyKY5SY+rja5LE683+MrNbjaZB8n3Q7jsAhK/5d9t73tNB94ffwpyvgKNAEovJ+/4NLTvPg9S6HDN+YLhXnsLjUYDCiGwMpl9WzSJZLGYgJPfWxgEIHQ8ZdRhYFkWVFVFEIZwXLerGkJfEILnnnsOP/jhD/Hh2bN47rnnZFGgoL/fLwykB9YoaIoCqmnwogjnzp1DvlCQ/P6xQCkMw4Dr+3Bdd9+NAgCYPNQli+/oXrGu/YBuGKBRBE3T8PIrr8DzfVR3drC6tob3338fADA1NSWT1VNTU/dk9R3zkEEcx7t/c29OSH+LiSSKIjRtG4QQNMcUaxMGOUp4qEN9vu6i8cefIKjYiLNAwCOahDLjQOLd3+oTCzD+26cRmxoU7hG2XGtRqX+PjUK9Xkc2n4fG83n7NTkLajLAirkVMMMtNY/uklEQCeegXodt26MbBbDQ9JNPPIE3fvITrK+vozw9DYNfR1CKIAhapDXuFR4ooyBCOgBk0dbq6irW1tfx0osvTiSxSMGKV1RC4Pn92SHjwOMJZsMwZAW2QAvHO1GlPWmsrK5iYWEBqqqiUCjgwNISzjz6KFzXlVLgV65cwfnPP4dhGFjkyer5+fmJqbiKyVwk3cMwbDEAw0yDlLKGQaqqsomDr9pblCsTK/t20Tzxt/AUAUZPzGWze70JtNWDiPcpRbxaR/hHH4KEPhSVGQI5RgJEBLJDuvLSYUSvHUcQuECiHbLQxiGEsC5efMyqqrJ7/R4Y6FqthmI+z4oew7ArhXos8GubXBiJJ0NU3wtv/m54TjmuhxQEQccGPMNgcXER07OzuHTlCp6fmtqjr+Y0m6lRGAYxT84QQthDoWm4evUq8rkcY95MCKZpgijKvjbUDsOQ8a15UVC3W1uEIeT7E6TJOq6LnUpF9pRIroYty8LRo0dx9OhRxLziWeQibt66BUKI9CIWl5ZQKpX6ehHJ8E4URXIFLh7+OI7l6r8dYgJXFGV3okz8Fn8LlojGjdw4EGwTTdOkiu0giD9bQ/g/vg/Ti0BzQKQAWQfQQiAm7GRiBYhVAuXnz4C8cLDFG0qGt8QiSIRKZbU2eEU6Z+GJsOe+GgtKUa1UcPzECQCM7UfjeKLUX3ENuuXWROGqJopM99so8AWGZVlwXZdJho9hFAghOH3qFH7y5pvY2NjYk7Dfz8T5oHigjIKIvQna6OryMqrVKp5+6il4nje2hRW3l2makhceBMG+CNJ5vo+IUrZvslcauB17PIcJPPjra2sApVhaWkLTtlkSr0MBjaIouyJ+jz8Ox7axtraG1bU1XLx0CefOn4dlWVjguYi52VmoXIO/0+TfCQohUHhDFxFPbp/8B4Fks9yjZHn0F9cR/W8f7+YqhOIJ5RM5J9Wrugrtbz0H5fG91E6R04i5gaRxjIhShLwDmgihhHHM6I3Brnuxn8bCcV0EYYipcrlVNXWMSZKfcMu90e27lsVeYOcY34U8i3gus5kMXNcde6EYxzGyuRxmZ2Zw6eJFHBXFtfwcotQoDAcZOuIMoc/OncPM7CympqbgeR6jdY4zGST47bquIwhDtt8JGgVxA3tc1iJJnaXoX7y1pwH8GKGltdVVTE1PszaErrvbmrPPNcxkszh2/DiOHT+OKAyxsbHB5DfW13GNi/iVymXWU2J2FtlcTo5b4dIaqqpCUxRpCBTe8Y5yNtSosfMkBfRugsYU0ffOI/4vraJ2SaMgUbKg/90XQQ6XO+5LhLdURYGInFNKQXVdGoJYeF1xjDiKpBfRzVgALA+n8havQstoGFSrVVBKUSwWZY3QyEahQ4ioH4SXIPTOFEIQ830onJ468ZwXH59hGIyqHkUj1ywAgMtDxo+cPIkf//jHuHbtGhYWF3cVglOjMByihKdw48YN1Go1WZPgBwEcrlMyCRiGAcfz4Po+JsDIbok3h3wFTdDaW7pTh6lekKGlRDEQ31Hfz8ZxjNW1NZmcV1VVruh73fBi/CEv6AmjCIZl4cixYzhy7Bhcx8HW1ha2t7dx/cYNXLl6lXkRCwtY4jId3fafnNBHXfvJCuK76CnQIET4P50FfX9573ttf5CDRWh/9yWQEUXtCADKw6eKoqBlucJX3L2MRej7MlemCiOhqiwc0+ea1ep1qJqGbC6HKAzhke79zDuiLR8zLMK2fCKwy/RKhpXjEajb3SDuJ1VVoWsaoiBg9NQR6jTiOGaFqnGM6ZkZHDl6FBcuXMDMzAw0XW8JF95LPFBGIXkDnj9/HocOHcLU1BSiKIIfBCxJaZqjWfG2G9UyTTTqdbhO/+5XPXfL9518EHzfZ3FRXW+ZvEZ1hVtaKiY/3yPMtLW1Bd/3ZRWzpqoIggBhHCOZOhSqtEEQMGPQYRIQYmm6psniHEVRmIjf1pZsS3rz5k0ohPWTWFxcxOLiInL5/ERXd1IM7y4lYWnDQ/i774Be3Stql/wmCQByZh7a334OJDOC55ks8up2jwxgLEJe2xPGMVsE+D4EnUJRFGkgVO7NJVGrVlEsFGSymxDC9tGHmirCYeMEeWQ+gdM4uyEe5DoNiPbFiWVZ8HiyeRS4rssqsVUVuqrizJkzuHXrFm7duoXjDz0EYHSDOUk8MEZBsFEIgBvXr8NxHDz66KMA2A1qmCZc14XjOCMlGNvlmg2ebA6CYKRkWq/qYyFrYe5DrmJPeGl3QC0GYm1tDZZlySpNsfoSDIuQN1TptHJRuBEQhqCbfLeqaUygb2EBeOopNOp1KQX+6aef4uNPPkEul2uhvIqwxqgPx90sXKNrDYT/qruoHU0MQf3qEWj/96dAtNF7Co+MpLHg95xQBxCGPuSdDP04hs/DToSQFiOxU6lgampKvqeL3s3t1NTEvT+pKS7knjXhUhvy1NDBAPD/93jSw6JtTjAtC6RWg+/7Q4vXietM41h2rMtmMjjx0EO4cfMmDh46xCi3qacwOMIwZG3tKMWFixdx/PjxFqnojGXB9zwEYQg/0WB8VBi6zr50ynodDJPE7qXUKKiXBNjDYph0xWovA7HKqagiTur7PhqNhkw2JyFWkLqmQdP1kbnp+UIBD/N6kmQuYmVlBZevXAEhTAp8fn4e8/PzyI0QChSewn4bBXp5C8G/eQdodl81imuufuMhaD/z+Mhj6iQmNy4IIdB0HZp4TkRYkBuIiK/KRbc1xDHTPFpagu/7clGgBAHCIABEs6sJGoIkpLxNh3uvGwtJeOktPR7GgKHrUFRVPi/DzAmi97qefH4IwSOnTuHGzZu4fv06prnBvdd4YIyCKPTa2d6G5/t45NSplvcVRWFt9Gwbtm1DLxaHe4A63DCGYcALgoGZTRSQzc67weda8O2hIwCMhSS6S00YyWvhuC52trdx9NgxVCsVlpgEf6C5N2YYhnzw96NASdU0LC4tYXFpCZRS1Go1rCwvY21tDR9//DGiKEKhUGgR8RtkHJ1USSeN+L3bCP+ns/1F7XQF6l89BfXRhcmNZ7/CCwnvTxxH5L7CKMLOzg5oFCGbzcJxHNnPQOQnMpa1r3mcJBW1E7pJxIj3YiE8N0y+ocO1tkwTtuPAHYLtGASBrLI3EwtBhXtbBw4exMrKSuopDAuhEbS9vY1Ssdixk5rgEsdxPBRFtdtjZhoGmrbNrHwfMaxBddx9UbC2T32XeyEMQ3hBgNu3bjH9mmwWIWds6JqGXC4HSimy2ez+FCV1ASEEhUIB+UceYSJ+vo8VrvJ6584dXL58mYn4zc/LcFQ3KXCpkLoPExSlFPF/uYzoP57rv3HOgPZ3noUyb0w2vyFCI/sdHksYCRPAyvIyKICZ2Vk2wfFQSBAECMKQVf7yHguTNg40jll/E0o7hioFbbnX8yffFyGhAWpqOu3NsizYjgN/QGoqpbSlgVbyvhRzxsz0NG7dvIl6rZbWKQwDkeDc2tzE0sGD7MW2L5eAf2m2DdfzYJjmYA9kl5tJfN5ro/a1frR77qAdEed1E6BlxZCEVIucAERyzg8CyW8HgEqlAtOyUMjnYXKPQOF8dsFFFxS8uzIBtUFLiPgJL2J1dRWrq6v48MMPJS1SJKunpqdlnFl+DxMeM41iRP/+Y8Q/vtF3WzKXg/b/eQlh2QBse6JjIYBsRXk3IK7n5tYWSqWSXIzFPPfgcxaamCQd14XKc026pk2kaZMItypt+YQkhilko3z7Xs9sN49dhHyDAampPs9JAtiTQyRg17FULkNRFGysr+PUmTMDncN+4oExCjSK4No2bMfBwtwce7HDw2aYJnzPQxhFsG17LIqqaHrj+35HhsWw9DrJOtK0fXO1RRxYsLFaioLAbupGs4m5ubk9tDpxg4dh2CL30CJvvE9GYk/cnBt8QghKpRJKpRJOnToF3/exvrGB1ZUV3LhxAxcvXoSu61LEz7IstiKb5BjdEOH//Dbo+fW+m5KHpqF99wWQvAnKJ8qJX68hqcvDQqxgk7H4rc1NprTLoSgKLP58KKqKmD8fEc9HRGEIF5zKqetjGQixIOw5AQ9xb8p7usd1JF08BVVVYeg6vCCA63nI9xhTFEWyHkk20EocT8wfBECpXMba+nrqKQyLbd4bdnZ2tus2ClhxVaNeZ5K3itJb1K7Hw6UqCjRNQxCGcD1PimF1opkOAj+pddQDo7BvIh4y8zyvoyGQzcgpkyo4fOjQnn2Ihy7iTBTh6rZrA7UbifZtJgHSJRxgGAYOHTyIQ9yLqFQqjNG0uipF/AqFAg4dPIiFhQVMTU2NFUqyXMD8Hz4EXe2vdU+ePQDtb34FRGfXcWLXpu06TKSKN+FltxsBcQwB27bhOA5mOvQ613jVNKEU+XweMWcjBdwwiKp2FyyPZPLk9jDXRLTG7cZyAyA9iaGuC5/4VUL2FNH12otlWfB5rrHbojOOY9iOA1BWna93Cnth9x6Zm5nBxYsXWdL+HuOBMQqUUuxsb2N6enqXMdEFmqYhm82iadtwXFdKU3fcb5/jiiI2jxuFQZLJnZAMHfXNJwyxEgz4zSkS2MBuRbYwBMkHsFKpII4iSS1MQrCMRNipm/HqNHl0MhTt23ZDp0lpEAj9pampKZw5fRpN28bNmzexvb2Nq1ev4nMu4ifyEAsLC0PlSshqEz/1jgLVH6CP8k+fhPpzZ0CUvYyviRvMIben4jN0t3isfdXaa4zb29ugAKY7GAUhQULBtJkUVYWpqjB54yuRcxD1EXYYQnFd6KYJc4D8g8gngNK+yqijGEvBaGz/bK/9mKYJ9KCmUkpZMp6v+jOZTM8kOADMzs3h/OefY3V1FY89+eRQ5zBpPDBGIYoibG9v40Q/eWx+sxumiSiOmYhVsyknym7bd4NhGFCxW3giGnwMi0BUkXJNmp6ngN7GinKarOt5LWwFXdNgmiaMHiux7c1NEEVBuVzu+L6maZKaOIzwV7dVpnDTk6ui9m0wgkHoBEPXsbi4iAMHDqCQz2NnZ0eK+N26xRrcTE9Py14R5XK5+8PqRzD+l89A/T7jIgTq/+NJqD91bO8+JuQp7JmgOuxPTvyJ7VtCQC0fH248m1tbyOVyHRdWosewKIwzEvc2URQYpgmDGwgvCBBwT9ZzXXiuKxcv3UJDYRhCAUBUta/HN85V7rao6QTDMHpSUx3XlZ3VstmsDGXSDnOHOFapWIRpmli+c2eMs5gMHhijsLm5iTAMMS/yCQMgk8mwm5G308sXCntXG31uANMwQBSFTcBxPHKs2gsCFjoaZKXa5RihCBG57u4qFCyPYpnmQBrz2zs7PUMqmqYBPCczCXTzKuT4k6tX8MmN5xKGXfWJeKwQ05uZmcHMzAwee+wxOAkp8MuXLuH8uXMwTZNRXpeWmBR4YtEQvXsbZMPu7RFaGhO1e6xzY6dJGoUkAaG9QlgYhPaxTspD2dzc7Bmy1VQVAXrTKQnPQZiGgTAI4AWBFJwMgoB5GLoOnRMcBEToSB/g3h71vklC3pt9GEqCmtrOcnQ9D2EQMOG7TGZPoV2n44mxz8/N4c7yXqmUu40HxigsLy9DUdWOYY8k2h+OTDaLmLIGFo1GA4VCYSjRPJ3TyGgYwnGckZpsxJR1jKLYy0DohiT7wQ8CeK4LPyExofKHbGCGFcfm5iYOdcgnCCSTzfuVVN7TPIY/gMlJT1J8RcIbe1fM3cbW6XpkLAvHjh7FsaNHEcUxdrgU+CqX3yCEYHp6WjKaMtU+8iZTGei/9CLIoe5U5aSWU0+IlX1iW3kteKiyfZUZJ76b/eSG+b6Paq2GE1yGoROE5MUgCwlCCHTDgG4YbKXNQ59xFMGJIsYaNAxZKNavPqEdk5DTJgDABRq73WMmp6YmVVN934fPPaGMZbWMmSgKEylsQ5RYyMzNz+Ojjz+GbdtdKdd3Aw+OUbhzB0fn54dOGhJCZJOMKI6Zx8CbhPRbUYgVQyaTgR+GaDabIxmFQBSsDRA6kseOYzhcqjcpp2toGkzLGqnOwXYcOI6D6enprtuo3E2nPEE4qhrkWCC7rS2TE2Y7WkJ5fDIQhqSFmtoWGlAIwczs7K4X4ThSCvzzzz/HZ599hgNVA090G96hIrRfehGknJFjTE7oYryyNwI3eC2MlqQhSIbb2o+lKCBtky3B/hqCJLa3t0HiuGOSWUDTNHb9h+yvoKoqMtksLEFvFaElnsNTeHGcOkwB5QS8MvFd9kpcm23UVIrdELOp6wMpKyfvX0II5ufnQSnFtWvX8Nhjj411HuPggTAKlFJUazUUTpwYbOXankRTFOTzedQbDYRhCLvZ7CuhQMGsOCGsyKvZaMB2HCnTOwzaJX97HpdSpuHE45IAu0FNTrXUxmDSbG9vg1La0ygA7CEXWvl3wyiM6u63fAs8pALszVfwF9mEK+6NxKScyWR2GwpRio2NDXz80UfYKDmY3gLXMGLbR6dmYP53LwJZo3X/2Duh0+Rx2itpB13ld7s2XIJlv7G1tQXdNPc0g0mCECbzHSkKwjiGPuzCTVFYLswwWM0D195yfR8+r3uIs9mBFoTjGkslwUTqtLAQSFJTbd5bmVIm1teRzNDhuxKRAJUn6zP8Gd/Y2BjzLMbDA2EUAAyVjFSw275PvqaqyOVyjKoaBFAcpytVlaLVPbdME4qqgkbRSCGkkFdj95Ok9jwPjuu23CyWZbG8xgTCOFs8Ydiv0lvTNPlg3ku0r767vSceN9GZL/na7ge6T6DSWACIwxBXLl9Gs9lE7f91Cmv/v/M47OcQBSGuzvtYnttA9kffxzwPM83NzXVdxYrQT5L6SQDQhCfUHu5sD9l1G3U/MsKksLW1henp6b6TraZpCHiNwiCLn04gnAyi6zriKMJOtSo9qYZtSyJFv9yZ6M0xCjpdU9LlnjItC57nsRalxaKs3ei84717FsYnGT0QvWLuJR4Io0DbV+d9kkDdoHEph0azCcd1AW6dk4jRIXbNdZVGCSHFlMqKzG5Gwfd9OLzzmTheNpOBYRgT1UESD3g/6Im8wt1Ay9VOenjJ9zp8551W5iQx4Q4L13HwxhtvoGnb+OpXvwpN0/Cnx8/hyDeex2y5jKkowtHNTSkFfu3aNSiEifgtCCnwhAcqH/r2Sb4tSdyOPbkcvlLtZST3A1EUYWtrC2cGqLJVVRUKJqfdI1hN2WwWuq6z/t28/sHQdbZQ6+I5jHqNuk3GSWpxchtD1+F6Hmv0E8codJGB79YnpaN44z02CMADZBRamBxjXDjdMJClFM1GA47jIArD3c5gtLvCYzabhT1CCEmEjghvkdj+nm3bu5MvIchkMrJSdJK3RxhFqFQqOHT4cN9tk4nDKAx7Fg2NApk0FSto3qu6JwapdxCbjhBiq1YqeOPNNwEAr3796yiWStjZbu2RoKrqrhT4k0+i3mhgfW0Nq6ur+PSTT/Dxxx8zKXBOedW40u4ojLUkrbRlsuLGUVGUfRdPq1ariOIYMz2YRwKiRW40IYJCEARyIZXP5SS9XFbrBwFMXpQ5KZ2rQajgwjCEnDklXpcVy0NALho61DncSzwwRgHA7sQwQl4hCdM0WYGJbcMPAkT1OrK5XM+ba9QQkmBkJF3qKAxhu66sXRD7z2QyrU13+HlM4iapVCrsAR/AUxCrNHHzj2oUkjRTEAJCWZ1HsngqGV7pNI5hzn1gtk8bVldX8e477yCfz+PlV14ZTEiRMBG/QqGAE1wKfH1jA2urq1heXsaVK1egqirKU1M4dPAglhYWkBlFcqXt/KkIc7UvYPaBKba1tQW1R01LEi1FbFyRdBwEfDElCBWqoiCXzSKMIriuy377Pnzfl8SLsam/Ayw4Ra7NdhyZQ9AJGclAixCXmhj3IASY/cYDYRQASBGrQdHP6pumCVVV0Ww2EQYB6vU6ctls12rpUUNIYRjKfALlpe9JGpthGMhmMt1ZSWN6RgLb/AEvFosDba9rmmy0M2gNcLteTrIeIemF7Ze7PEpdwLWrV/HhRx9hcXERzz///MiJdVXTsLS0hKWlJYBSVKpV3Lx5E1tbW/j4o4/wEYBioSDDTDPT0wN5NHGXyX7Pa908yzGMxebWFsrl8kDPHSGsIY/QPhrHKNA4ZvRrSveweDRVRT6XQxAEcF0XEaVwXBe+58lk9Sj1CoNsK0ggvueBEiK9GMd1Zb+HdvSKbMhjJpVT94ECPiweCKNA21dFE9gfKJU3WKPZRBSGaDQayGazXQvMhg0hUTCjEFMKn68uxA2i6TqymUzfSYhwNsS4q6AtLhEyqKst6xV6rICSnsCoUhW9MGyocI9H2XtjfPrpp7h06RIeeughPPnkk5MTKSQE+XweR44cwbFjx5DJZLCxvi5rIi5dugRNVbEwPy8T1p28E4IJFKC1G4s2ymi370yI4B05enTgQ6mqCoLx8wp+EEABS8B2qynSdZ0RIngNT0QpbNeVFcbKkAnbQUJHtuOwwjRKpWcfhiHAPZdhkSy2bBlH6in0xygrwL7sDELkA1IoFNBsNuH7PuxmE1EUMWZS2/GSISTXdTv2dEgiiiKEvg/bceQDnkyeDXwuY9IPR3nAhVGI28Tx5D7jeI+xmnih25DnLO6TfsY6CkO8//77uHPnDp548kk8fOLE2Pz2bmMRjJoDBw/iwMGD0osQ1dUfnj0LCqBUKsm2pNPT02wx0GP/YvIY+porSu/Jj++72WzC87ye9QntGKaIrRcCvurWBxCONHmhm+f78DwPYRyjYdswOItp0OvTK3QU8/qmKI5B4xiZbBaGriOKov6kjG5J5i550omIHY6JL6xR4B/o6bol38nlclBVFa7jsJVHHCOXzbbG+NtCSP2MQqPRQL3ZZA8Lj4mO0rxm3BuladtwXbejoFk3CHE8j4uadTJikzACgxjuQVf+g4zL9zy8+dZbqFQqePHFF9lEvR/ods8SgnK5jHK5zKTAPQ9r6+tYX1vD9evXcYFLgS8sLGBhfh5z8/Nd75mJGOE2T4LwRPbm5iZiSgfKQQkkVXZH6WsOsEXIMHU9ALsOFtf88jyPdUvkRiKbzfYNZfV6tsIwRNO25Tb5fF7ujxAi821dDWEX9qDYnhAClfAq7H3sXDcMHgijAKCVkjggJbWXt9BJ2M6yLJZnaDQQ+D4aUYRcPt8S7xchpKZtY6ZLCCni/WwbjYbc71SpNHJ4YtwQ0g5XuRzoAae72i+KqkLhLIthPJth0NfYDbrSG8AoNBoNvPnGG/B9H1/72tcGoueOikHbghqmicOHD+Pw4cOglEuBc8rrezdvglKKqakpmYuYKpcn7tUkIWLaq6urmJ6akqv1QcIaUhyP07CHLWIDmJdAsFtZPwwULpOvaRocx0HAn0MrkWvoOG50nic8z2OdHAFoioJMQtxOQOMqxIKUMWhOSoTYWrbn81rqKQwAKQDGZQOGmRz3FANR1q+12x50XUehWESj0UAYRajX6yzcwx+OfiEkz/flyiKKIliWhfIYBkFgaK34BLa2t5HP57uqnnaTDDYMA57vww8C7JsSS7+JBoMVabVcmw73x9bmJt586y2YponXXnutZ4XuJDBoKCuJFinwM2d25TdWV3Hl8mV8fv48DCHit7CA2bm5vjLyI409jrG+toaHTpzYfY3/KDyU2U0tWOMEhSiKRlpICAn4cRYhuq6zxR1nF7qehzAMkclkOhqa9tCRTCjz/IGu66wHdYfvUuGGUHg4LXpHPSIVsnGQqraIW0a8tem9xANhFFRVRb5cRqVSGYpu2J6oaxFZ6zEZqaqKYrHIEtBBgGajAdM0YXHKaKcQUkwp7GZTtu5UCCuMU1R15ArP1pMZnYW0tbW1JzbcUvnbZb+6prEblRu4cWmGndCvIGvQ0Fmvlfnt27fx3nvv4f/f3pvF2HFt2YHrxBx3zjmTOZDJeRIpihqo4T1JZRv10e3yh7v/DBgGuv8MuAzb3bAB//nH5UIZRgGG0UY1jK4fo91lww+wgXJVPem9p0dqpkSKIsWZmRRzHu4cc/THGTLuzbhj3uSkWECCyZs3Ik5MZ5+999prj4yM4NJbb3WMVQ8CPSW9W8AwDMzNzWFubg5hSPuTcxG/xYUF+EGAoaEhIeKXz+cH4kVsbm7C8TxMTk42fB69F83vFf8fzyv0RdFkelu9hI5aQZIkwQziFNZKpQLDMBoWR83Plud5qFsWzaWFVNiuk4S8Isu0qVCX5xwEwQ4dNXKe9XodtuviwIED3Z7mvuCFMQoHDhzAk6Ul+AB6mpriJtMuJhlCCLKZDG3SbVmwbBuO58E0DNrAJxJC8tkDxycmk4WhykEAmZCBsFoIWtMT2yEMQxSLRczMzOySXu4GiqIgYMVCgzYKcfryu9CtMYwzCmGIH374Ad9//z1mZ2fx2muvDaRncDcIY5glPW3PPGM+yRNCGqXA63U8WV7G8pMnuH37Nr7//nvohoGJ8XFMTk5ifHy8b+O3vLwMXdNQ6KBIzCEooAAIu75BH0bB2UPoqMXARK+GGlMMqFsWPM+jDCVeW8EWi8I7YJpn6VSqq3CQoiggti1CX1Eadhy48WgubFxbW4OiKDh06NDeznuPeCGMgiRJmJ6exsLdu9ja2Gir7d4MQZlEf1SvlGlCV1VKR2PegcJWQ0EQYGtrS7y4MludKIqCKhPJGpigHCF9hZCqtRpcz0M6k+lLMkNVVVFF2lVRVy/oJi/U5fk210AEQYBvvvkGjx4+xMmTJ6lUw1PkgEdDAv2AENKWs26aJuYPHcLBuTkETI6CtyXlUuAjo6PCSORyua7Pf3l5GROTkz2HaQEaewchgqnTy4LIZT3M+1EAjgMfvSRJSKfTNAntOLQTHPPyZabzZdm2YNRpqgrdMLoO/SmKQunnUUPYLnQUl08AsLq6iumZmWcqmw28IEYBACYnJ2E5DlZXV3syCkDTqqsPwyArCrLZLGzLQr1eF53JqpUKfN/H8PAwDE1rSER5TJxtkCqjhElad4MQdEItFYsAgGyfMXRNVakUxx4YJS3H2M296PKeRcManuvis88+w9raGl67eBEHe6DiDgo8PLAf/Sg4+L4lWcYYYyq98sorqFWrouMclwI3TROTk5OYmJjA+Ph4yyr1eq2G7WIRx44d629MkgSZCdIFYQily/Cf7/vUkAz6nWHHJ4TAMAyo7HkOwhClcplWX7PCUlmWkWFefi/g1FefS9p0uOfRfAKws4DY2NrCz86f7/UUB44Xxiioqor8yAhWV1dx+vTpnraNNmvpppS9FXTDgKppqFarCIIAvuti23EwPjbWIITGi9aAAXoKkX13mmbCMETAvleuVKBIUt+rD0mSaCItDKkY2QDj8Q39BVpAhLo6FQqySdiyLHz26aeo1et49913MTY+PqDR9gZhpJ5B0jCVTuPwkSM4fOQIfM/D+sYGVlgu4sGDByCEYHRsDFPMSGQyGXF9V1ZWQACq79QnJFkG2CTPp1fuWbeaMLmOkMr0ogaF5pwUrxMqlsuo1+sIggCKoiCfy7VlKLWDLMtAGMJnJBYelooDN3xiO7D3tFyG67qYn5/v/SQHjBfGKCiKgunpaTx5+JA+bD08OIMsCOHspXw+D6teh+T72NzaonUIpkkpeaxEP8pjHhSkSEe26JiaqWz8kSyXy0h3KW3RClGVykEahW7uCCGkq7BHCHqu165dgyxJ+OD995Hd43nvBX3X1uzsoONXuilgkxVFiPidO38elXJZMJquMxG/VDqNyYkJTE5O4snSEoaHh/eUjJckqbGymez0shD06qZtokZhkGg+juM4sCwLEqEyFZwl5fcRWuXgORDOQFI1bSfH1fRdLofBE/Ica+vrUHX9mXi1zXhhjAJPNt+9cQMbGxtd9WoOscNK2fmwf+Pgex4q1Sq4KuLM7CxWV1dRrdWQyWTgOg5SqZTIYQyEddQOYYiwg8Erl0rI7ZF+ySWC+Yv7tBFtfNIKqysruHr1KjKZDN59773B5z96QLRatd+e3t0+pb0anUw2i0xExG9tbQ3LKytYWlrC/fv3EYYh0uk0Hty/j4mJCaT6EPHjchfNPQ1EMprsyJuHrKaBf3c/3hl+P+r1OlzfFwWRhXweQRjCqtdpd8QwRMo0+zLkCqOlup4nBDfjKKmt8gnr6+s4eOjQQBdd/eKFMgrDw8PwQBMy3RgFADsSzV2EKtrBdV1Uq1U6FiaEBQCVchkgBK7rQtM01Go1WKyVYHOvhkEgKn8QYKcCtRVK5TLmu7xWraAwauqgu7ENynu7f/8+vv32W4yMjuK1CxeeqUEA0DgR9GsUurw2e/GCZUXB5NQUJqemgPPn8ejRI3z51VdQVBXfXruGMAiQzWYxPjGBqclJjI6OdhUOk1iyuV2jGzFiQkSoVWWFYIOG4zi0fwroM2wYBgxNE2OQCBES9lXWH7lXY64oCmzPE7lEALsMA69dAtDQKCgEpQG/9uabezvRAeGFMgqEEAyPjWFldRVnO/QwDYHGGCYhLUvOO8FxXdSYQVAVpaHwKZ3JiGKdTCZDaxUcR+iiyLI82JBL9IHrNG7W6zaXze75uKqqirzC0+7b3LIIKAxx/bvvcPfOHczOzeHw4cPPpqd0E6I1E3sKHz1FthQIQalUgmEY+OCDD4QU+PLyMn58/Bj37t6loajxcYyz4jmzRZ6Kh3Z5J7x21yAMQ9qbGWgpRNkPgkjfZ0H6YN0XuefJx8Wbb1VrNfi+j1q1SqX0e7j+iqqCsP4s7cbEr0c0b1IsFuEFwXORTwBeMKMAAAcOHMDDW7fguG5H6lqzWFs/6ynbtlGv1wHQibG5t3M2l0OJJYkC30c+n0etVkOdJdrK5TIUWaZFM3004gCwEyby/R1OeBerw3K5jBBAdkBGwXEcuK47MA+om6R5K/iehy+//BJPnjzBK+fOYXJyEp7n7Svbp1vsOZ9AN+7ya4PLly0vL2NiYgKEECiqigMHDuDAgQMIGYuNU16/+eYbIAyRz+dpvqJJCpxIEm0CFAQIfL9tXs11HIRhCJlQ6e29FGkCNJHr2DYcx6EeNZuETdNsO1/Isox0KkUNQxCgWqlQA9Jl7pKHvZpzE9EeH16LfMLyygoMw8DMzEz3J7qPeKGMAiEEhw4dwt0bN3Dnhx9w5uzZ2O/u8hI4JKknb8Fi1ZAAXcXECeDJjANdKpdRLBYxNjYmDIBpmrB5NWW1CsmyRHPurieMCJ2Wb0PQnfxDqVwGAQYi6aAqinD1B0ZN7XM1bFsWPv30U2wXi7h06RKmDhygYTz0H8MfJGLbLD7nqFYqKJfLOBXD7COEIF8oIM9E/FxGDV9eWcGjR49w+/ZtKEzEb5IltXmyOYgwkOJgs0ZTwkuIVoL3YBw836fGgMlkhGEIRZKgmSbkSH1POwMqMyn9arWKIAxRYX1TuqGo8u94nrdLVZh7ul5M6Mjzfdy7dw8X9tDLY9B4PkbRJWRZhmmaOH32LG7fuYPDR4/GrlpbuazdUCA56pYFmxkEwzDaxqlz2axo78ljl4osI2WaMA2DGhfbppXPtRpq9TrVYzeMtpOraFMZdy4xLKRmlFlHuV6YWq3AVVPDAVFT++29UCmXcfnyZXieh5//7GcYYqJ2zcVrzxKt2izuBwZ1tsvLyyCEdJWrUzUN0zMzmJ6ZARfxW1lexvLKCr766isAVAo8NzREjcT4eOxzzr1rANCaJ8SIt9VJxZQXpHFNJkWWoeu6WL2HaKwibpfrkCQJaRYG9oMA1VqtK8PAaxU4OzF67wNGq44Twbt79y5cx8Ff/+t/ve3+nyZeOKPgeR5eOXcOa48f4+bNm3jtwoWG7/BVQuzkQAgkxDCSmmBHDIJpmh3lrlVVhWGa8HwfxWKxoak4d11Nw4DF6HC+71NNlnodumEIjSR6ApGevG0muG4mg3K5PJDQEYeqqqI37dNmSRBQ2t6nV65AZ3HvKDNmEFpDg8Jew0eDCQb1huXlZYyMjPQssBcV8Tt56hRs28bqygqePHmCJ48f48H9+9AUBROsJmJiYkJ4BQ7rQKipasvFEWcOCSo2u6Yuk8fmIRkuXJfStIaVePO+uvE+JEKQSqepNIbvU3Zht6GkmP0TAF7Ee+T7sR0Ht2/fxrHjx7tqefq08MIZBQCQVRUnT53C9evXcezYsYZq3Y4VhR3cUp8JYgHdGQSOfDYLy7JQKZehKMru7QjVfDc0DY7rCg0Wy7ZhWxY0XYduGFQmoEt0WvWUSiVMDVBcS1UU1BnTatBd1jrh8ePH+IKL2l26tIvP/qzlhqPYc+FaL4SIAdwDTk09derUnvel6zpm5+YwOTWFSqWCYqmEEmsqtLi4CAAYHh7G+NgYMrkcMul0xwSz0CcC4DHVUy6cFwYBfXc0raVHLOQuuqA2c0iEah/x5jo11pe9nfw2wELXMX/3GJ076iX8cPs2gjDEq6++2tWYnhZeSKPg+z4OHz6Mu3fu4MaNG7j01lviO2GbqkmOVvH4gOmvA3RV3EtDHN0whLtaqVZby0oQKtKlaRo8Zhwc1p3NsixoqirK8btCi7i873moVasD9RQ4NZWrpj6NGGgYhvjh9m189913mJudxYXXXotfsbUoFnoWEG0W+5ywB9F+tResr6/D9/1dqqh7Ac8BZrNZzMzM4PSZM7CYFPjKygru3r8Pz/OoFzE1JZoKxT33vGezY9tUPoN9rqsqNF3vroc0evfACCFIpVJULZlJ5ZutGmvxnF8My5GHXMEK5gCgVq/j3r17OHHiBPLPkZcAvKhGgemjnD59Gl9+9RU2jx3D8PBwV7ojAFp6C7wPgsyoa70il82iVCyiWqmAdPGCKaqKDNOf583HbdelPWplWTz0rdxhApZbiDmXMlNtHaRRAHaoqY7r7s0odLFiC4IAV69exaNHj3Dm9GkcP3685cr4ecop7LVw7Wmfw9LyMlLpNDIDfFYEHTcMEfg+JFmGYZo4eOgQ5ubmsF0sYrtYRGl7G2tra1h49AgAMDoygonJSYxPTCBtmlS8zvOEdIsEwNC03uUwetANa9yM1hvV6nU4rgtZUXaxmKKS/HF3jo9f4gwrAN/fvAlVVXHs2DHoz7qupgkvplHwfUDTMDc7izt37uC7Gzfws5/9rOv9xK0a6pYFn1Ea+6niBKjmjMSqOau1WntPgyXFCFs9ZDMZ+KYpPAde+1C3LMiKQnvRxrjIEgAvZmVZZmycQRsFLUJNRYd2pO3QySS4rovPPv8c62treP311zE3N9daiiAq7/E8GAU+zqeUaN5LKC8MAjx58gQHpqYGeu1E7JxQxdSoZLnjOJAIwejwMA7NzQGgQnwrKyt4srRERfxu3oSmqhgZGcHw8DBGR0aQSqV257L4mDssMvZybqqqQvd92I4Dq16HzPTAOCRZRhgEkAiBh93hIycq4UEIiuUyHj16hHPnzkFmSfHnCS+UUeArU97DlUgSTp85gytXrmB1ZaV78TNm0fmKznHdncRyKrUnto5pGLBsG5VKBcNxevQRBlTzg8opcWEqBcdxxI/nuvA8D7VaDaqiQGP9aPlLJ8XUYJTLZejse4OEpmkgtRq8IIDn+y29mI5ok9up1Wq4fPkyLMvCe++911EVt5tWnE8TwR49hV6xl6NsbGygXq/vC0delmUQz6MMI/YchszLBCAmeN/3QSQJIyMjGBoehu/72N7exsbmJjY2NvDj48dUxG90VDQUyvDwbBcUVp572At0XYfPKvprtRpt08vvL08igz1/kWP5rHEQwBhKAL777jukUikcnp8HYft+nvBCGQVZlkW7P9fzoBKCqclJjIyM4Lvr1/HBhx92ndzj3oIfBKiz3ge6YexpEg2CAGYqhTKns1Wru8JQXL207dgIga7r0HWdVmY6DmVasNCS63mogq7atQj1LopKpbJvgnCqqiJwHDi2DaVf7fcWL/DW1hauXLkCSZbx85//nPYBYGgVF2747Bkbhb3qHvWVMGctMvvB4uIiTNMU1N5BIlqrwOExI8G7j1XKZcrMiUzuOivk4s1mqrUalpeXsbqyghvff4/r168jlUrRuojJSYyNjYkcRtz121NleWQfpmmKZlpWvU6Vh6PHJGRX/w/hJSgKJEnCOuue9/rFi5AZxVvfg8e9H3ihjAJAawYqlQoc14XKpG5feeUVfPzRR1hYWMDBbrsWsZVFjQncyYqy50pdzk9Op9PwXBfFUmnHKETCRb1AkiRRJ+H7PvVqbBu+58F2XdiuS/vEslgn50sXi0UMddk5q1fomkZDSG1K+jshbgpbWlrC5198gVw2i3feeWfXCqolZ/05Yh7tVfeoH6PQTxIVoDIUP/74Iw4ePLgvHpYcCR8BdLVeqVSoSimTl+b6XYqqQlPV2DxVOpXCkcOHceTwYfi+j7X1ddovgkuBSxLGx8ZEdXWmeSG2Ry+BI8pIcj0Ptm3DMIxdDZX4/4MwFCKSmqYhDENcv34duVwOM7Oz4nvPXKurCS+cUdB1HZVKBbbrIs1ErYaHhzEzM4Or33yDfKHQNeeXa53w1nt7Bdd6yWYyKJZKsFlFtKHr3SfB20CWZZiyDNMwqFFg4SXf98XKnUgSVEVBuVTCHIvXDhqiqUhMs/Ku0TT53bt/H9e+/RZTBw7gjddfjy8WahEiiEoJPGvsSfeI8+ifkrezuroK23H2TV6B5xFs2wYB5eXXqlUEAFKsHabB2mV2e61kWaYy3xMTwPnzqFQqtG/1yoqQAk9nMpicmMD4xATGx8ZakjH6gcwka3jvZx69EOAKBNiRA+c5iGvXr2NzfR3v/uxnIgmvatpTKXLsBS+cUeCNMPwgEM3kwyDAhQsXUC6XceXyZXz4O7/T0fq6rguPtf/L9qBx0g4+e/C4JIbredja2hoo1Y9DVhSkFAWpVIrWO7Cq6cD3sV2p0H6xkoRypQJVUaCq6kB7LGuqCisM4TjOnlhIfPV09+5dHD16FK+88krPk2lUcfNZQ9BR+3meWlSvd9wM/XkKi4uLyGQyyOXzfWwdjzAM4THGkOd5qJTLImdgs0VL2jCQz+UG4p1kMhkcPXoUR48ehReRAv/xyRPcvXsXkiyLbnNjo6MtRfx6gaZpor9I3bKQSafpIoB5RryA1mUSHqqm4eHDh7hz+zbOnT9PK7yZ1/u8MY+AF9Ao8Hi7VavBizSTlxUFl95+G7/85S9x+fJlvP/++7snwcgqzLIsUVA2qEY4nPImEYJcLodKpYKaZYlS+f2CoijIZDJImSYcLvHN6iEc16UrlnodhBCoqgpVUaCo6p4S6pquU0/FdWH2ERYLQT2rL778EktPnuD8q6/iyOHDHTZqMfUNQoBuUHiextIGvufhyZMnOHbs2J7GyuWguRHwfV+QKUIAIZssFVlGyCqX2xWB7QWKomBqagpTU1MAKC17aWkJS0tL+Pbbb+F5HrLZrGhLOjI62jcZwNB1oXPkeh6tymZ/49eEh4uL29u4evUqDs3P4/Dhw8JwADQU+7zhhTMKAA0hWZZFG1oAIsGTMk288847+NWvfoWvv/4ar7/+euPDFymR54qag+x5IEIHzF3MZLMolkrY2tqiUhb77Cby0BFhCb6R0VFaYs+S02EQiJATiXxfYYail/Fx7XvRbaqHBD2XS75y5QqKpRIVtWMvctvzaxU+iv79GWMvzKO+AxwdqvTjsLy8DM/zMDs729N2YRhSL517A6x3d/TvEn+uWLEjf9d4MvipCL8Rgkwmg+PHjuH4sWOwHYeGmZaXsbC4iNt37kBVFIyPjwsj0UtsX5Zl6JpGFQlsWwhG8rvgMC+BU6uHR0bw6vnzwkPgz2riKQwIPAHpsVUJX5kQAMNDQ3j94kV88eWXyGWzOHHy5K7tufKpzuJ5UcbIXsCbj/MbzmW0bcdBqVxGYYBuehwIISCyDNuyIMkyTK7GahjgHa485jl4vo/Q92H5PggzEpIkQVVVYSQ6TbLcODuu25NRKJXL+OSTTxD4PhW16yEhHhsqeY5W5zx81JfExVNMmC8uLqJQKHSloCs8Ad+H73k7UhFBgJBRomVFgcLi6801CTwpK0kSUk9xEow+DZqmYXZ2VkiBF4tFymhaXcXXX3+NEEChUMAEMxJDw8MtDTufK1RNg+04wlvgFc0+q7r2fB9fffklFEXBpbfe2nkmIvc5MQoDgsJWIQFbASuK0nChZ2dnUa5U8N133yGbzeLA9LT4W9RL4Dek35hsFCGr3ASrXAToJJvL5bC1uYlisYhsOj3wns3NIKCJPaNJnpsQQnMLigLTNEXpPfcifM+jK0DbBlhiUJJlEW7ifWij0FSVGgXH6bqN4fr6Oq5cvgxN1/H2z37Wc1gtjoH0XOoe9eMpRATfekGvW7hs1Xw6Riabq3xGQ0JhEIhwEO9PoCgKZEaHltrkqogkwQsCBJ4HRdcH3oO5JZqeCf6O8/tSYISUkydPwnEcIb/x8OFD/HD7NjQmBc5/oky4aLFa1FsAKJPKdRyoqoobN26gVq/jgw8+aOx5HbnHiVEYIHRdR92y4DK5heYX49SpUyiVSvj8iy/wQTotGEnNXgKArtVT28Hlpey8UQhDNpOhNDzbxtb2dsdCrL2CEALbsjo+bIQQWufAXlLeatNlKqgBK7rxfR8WINqaKrJMDYQsQ+HNQoKgK+XUhYUFfP311xgeGcGbb7zR3wQREyrZN/bRHiilfcWqn5Kn8+TJE/hBgKmpKbiuS+PfzBAEzABwmXku36BEPAG56RlvB0IIXJZgfmrKuq3CaTx0g8ZFIPciZmdnEYRUCpxTXhcfPwZAIxC8LiJfKIj7G/UWfM+jHoLn4dGjR1hbXcU777zToCrQvFh43uiowItuFMDUB9kqtaGyFcAbr7+Oj3/1K1y5fBkffPihkN6Oegk7G/Qel+UImJcQImYyIASFQgHra2soMSnr/a5gdFy354dNYi8tf3G5S8w9iSAIgCCAE4YgrismBduy4DBDkslmd4wG46EDTNTuhx/w/fff49DBgzi/B1XIuKmoZU6hHb0z+jf+O7v/ofhK0/PAcldh0+/R4/LkouhChr17oR3RYYLmhWLcG3zw6BEKQ0OUQcMEIKPnLEkSJFmmISFmDPo1WB7rc0DC8OlV7rZ4j3nFcdh0v6OQCMHw0BCGh4Zw+tQpWJYlGgrdu3cPt27dgq5ptCUp02ji3gL3uNc2N7GwsIBz585hvEllofl5SDyFAULTNISyDJ9Z6biVmSzLePvtt/HRRx/hypUruMAmI70FN7gXaV2OgOUjeCw5jtFjmiYM04Rfre4bRTUKy7L23G1NkiTomibYEZxRIX6YZ6EoCuq2jZrnQY7kIQghkCUJRJJw88YNPP7xR5w6dQonWY6n34Ki2LsTZbs0q+S2u5/RvzUtKFp9P4z5PWo8Qlarwp+vsGFzFlrkxhJUu4qvyElI2672iqhkS+D78HjFsO/T0E3kWju2jY31dRw/dox2RVMUyKx9pswM+kC66gEAC6WEYfj0wkZdgLTwGOJgGAbm5uYwNzeHMAyxsbGB1ZUVLDdJgQ8ND8M0DJRrNSwsLGB2dpYyjSIIm+5vOpt9brqtRfH8jahLSJIEzTDgM/E4HgbhCWcOzkj66OOPce36dZw5c6a1dY6uBLsAd7X5ceku4l/qoUIBVr3+VCiqtmVhZGRkT0JpzeBx5OaHOGCtOR1eWS3LVOve92E5Dq5/9x2KxSJOnjqFiYkJFItFodfERdOIJAkDwj9vvo9CvyZmhcc7Ww1CzmAv4EqeQHz4iJ9XdPxB4xdEmC66T+7JBKwwKgiCnd/Zv7brIvT9xv1FQkB8wl9+8gQIQ8wfPky9yX28XrZt0/siSfueSwPQ0dvnxpM/J/z3bnNSkiRhdHQUo6OjOH3mDOpcCnx5GQ8fPhQtgDVVxavnz+/anstacOyHtMgg8MIaBYBVN0sSjWdH2uE1Y6hQwIXz53H1229x9epVvPfeey3DK4S9fJ1eFZF4272D2O8rqopMNotSqYTNzc19o6iGYYga031/GhOkxHnn9TokWRZ9JMrlMr786itYloXXX38d+XxeeBg+bzPa7MYzowy2cuVGQ+L/MsNB2PfE+T0v7CM+gdPB9LBZKFb2Af89COjKMgjgs9+j3wews+oMQyESKTEPTY6E8SRZFkZqeWUF4+PjMPZZbycMAmoUCK0rehrMqrCL9zZ6X3oyDDHfMU0Thw4dwqFDh7C4uIirV68CkoRD8/Oxyffm7Qv7JEOzV7zwRqHMjIJYAWC3txACGBoawsXXXsP1a9fw8Ucf4Z13320QWxMgBDLaJ51DxIQ/unjoGyiqpdK+tOBzXRdhEEBn7KOgOZyyD1A1DWCd5HjP3itXrkCWZXzwwQc7iTbGcXd4Ipuvetmkx38H+520yQnw+y1LEizbFm0ZucfAt+Mrbx5Pbl6N88+jYa92iLZ05N3A+O+csUMIEdWsYfR7fDtGWQyZEQjDcNfz1hDeiOQuogZSIoRKtRMCn+cC2oy/VqthfWMDr1+82PYcBwHbcQDmoRBJEkqh+4lunvLmZ6rbd6NVqCkMQyrf/913KAwNYWR8HEMx73WzkrGsKM9dcx2OF9ooqKoKSVEQMuoc1+RpnqB9torK5fP48Hd+B5cvX8bHH32Ety5dwsTERE/HjDUI4o/tDUOUorpdLCKbyQzcrXZYDJcbBbIHBc1uoTAmkhuGWFhcxLfffINcLoe33357Z5VIdmi6qqoibHHe0RCJMBTR1XMkZBIyo8d79cau+NowURryCE1GBKAVsQDtpNeQiI56JpF9eL6Peq0GidE0uWJmGDeGpqQ2vzYihMYnff4795BaTGI+uzbc6EUNFsfjx48hE9JVoeBeEAYBbMtCCKpxVGOMv31r4doLSaTF8dt5C63+FoQhvrl6FQ8fPsT84cPIZDJUJDImAtC89fPUk7kZz5cSUx/gsrNipRgDruapyDJSqRQ++OADjIyO4reffIL79+7t3oCvJmPQSpe9W356NpMRnOWt7e223+0HgnLLmB6E7O61sB/QNQ2PHz/GV19+ifGJCfzsZz+DruticoqbpOLA8xKqqkLTNBiGgZRpIpNOI5fNIp/Po5DPI5fPI5vNIp1KwTQM6JoGg/Xq1TRNKMbyPIgSqbWQWsTuRbze90WldhCGCJrknqPbgHslnG3EDCSnb/JCQE3ThBy6YRgwUymks1l6ToUC8ux8Muk0UvycdB0qE4yLsrliwSetcKcQU3hB7PPFhQVMTE5C2eekLxfAUxijjbCxDEqtdE9ocw3jwrn8uWiG47r45JNPsLCwgPPnzuHQoUMgoB5AM2El7r4VBpBPmJmZwb/9t/+24bPLly8jlUrhEetk1w9eaE8BoOyAOhPbMgyjIYnEwQ0G7zugKAouXbqE69ev4+rVq6hUKlSILfJQxK0Ogh6S0C1B9peiyo2CESnM2+9IexAEuHnzJu7evYvpmRlcvHBBVIrHYa/XkEsm8ASq6roghMAwjI5N4OMHFAkHRVbwrueBgHbUy0UE3Fqt2LlqpqppPREJRD3AXtBqtcw+KxaL2C6VcOr06X2lyQa+D4sVcvHqZR7S2o8iw14SxWwQLf8UxBAZ4p7jarUqmkC9/fbb0A2DMrlUFaHnQWLhMonNN83XmxCCoZGR7sfcAm+99Ra++OKLyKmF+P3f/338w3/4D3Hw4MG+9/viewq6DqKqiHZ0iiIEDR8BaFghSZKE8+fP49z587hz9y6ufPppo7fR9OJ3++J2MwFziqosSdjc2upii+5h2zYkQhoogPvhsvPr4bourly5gnv37+PU6dNUZybmPjRuPODJoY/kbgN4roEnZVmSlof2GpK2bVbsvG9Az0KDA7genc78/oMHMA1D0KEl7E9nOOElRCSlOTlgP4xCr/tsd8YiJxmT1OfY2NjARx9/jCAM8cGHHyKTzQqPUWHPjiRJYs6Jem4cqXR6IAvBS5cuNRiFP/3TP8Xi4iL+6T/9p3va7wtvFAgh9MZgZ5XMP+cGgSee46Sjjx49infeeQerq6v41a9+JbqwAY0PUCfXt9eHc6hQgCxJqFsWjVkPCLZtQ4uRuBiEYeAhIB7jr9fr+NWvf43V1VW8/fbbOHr0KACW12i3owGMJW4Pz5h7tNOWsZfzC8OBhFXaXW/XdbG4uIj5+XkxNlEbAXrdJOz9+gWsj3GIxkpdnuAfePioj+eomzoQPk80h5MWFhfxm9/8BtlMBh+8/z4MwxDCdxozgDwawRcIzQoHAAaWYL506RJu3ryJSqWCarWKf/bP/hn+xb/4FzutSvvEC28UAGp5iaIgYJ3JOAh2QkftikQmJyfx/vvvw7Zt/PKjj7DNY/1s5dDtw8wZIt2AU1QVScLW1tbAXhjLslrSbftZp4miqEjCNwxDlEolfPTxx6jX6/j5++9jcnKS9mxgOlT8ZWmx0z5G0oTodX4KdMduIBRSe/EUBmSw2+1hYWEBvueJ9pZxEHU2YB5EH9fUsixIoBNjtHf3foWP+upS18U2YRg2MKbCMMT3N2/iyy++wMzMDN577z2omoY6W4SKFr5kRwHWZ+qxsRT5AYSOAODixYuQJAlff/01/uW//JcYGxvD3/t7f2/P+30pjIIkSTCYdbQj3gIQSTKraqwrx1EoFPDhhx/CMAx8/PHHWFxY6Cks0c/jns/nac9p38fWgMJItm3HuqacztgteB1GwGik0fNbW1vDr371K6iqig8/+KCBSaFpGkCIEAhrte89I+ris3+fdZ2CaLDzDMbRkhgRhrh//z6mpqa6lj6J0rsl+kHHbXyumYXdjei5lPtAjUIbMkg7dF0xzq6B47r44osvcOvmTZw6fRqvvfYaiCTBdRz4LOfEW+USQJACgPjnXFYU5AeklpxKpfDKK6/gz/7sz/CHf/iH+Nf/+l8PpPbppTAKAGAyLjxXduTg1l5IQbd5KAzDwPs//zkOHDiAz774Ar+9fBmVarW3h6+HCUGSJAwPDUGVJBRLJdQioat+UW/jKXSLKAW0GQsLC/jtb3+L4eFhvP/zn+/qZGUwtgnn7MdhIFNmdIW915zCABBNUvciEzGoabLVZLe+sYFSuYzDR470t19EFhRtJnUeutWavARgx1jvRXCyaYd9e4dd1TKw/MePP/6Iv/iLv8Dy8jLeePNNnDhxghaxBcEOy88wqFfBFk48/8QLCpuRy+UGWrR66dIl/PEf/zF+93d/Fx988MFA9vnSGAVN06CxyZCzH3iog2CnX2ynh0lWFLzxxht4+9IlbG1t4X/8xV/gzt27HY/fr2SymUohlU5DkWWsb2zsJKj6hG1ZLZNY7XILDV5BzDUKwxA3b97El19+ibm5Obzz9tux1EYSoSFaMSGkQQYQ+Jk8D8GjBjHGXjyyAYUNWx3x/v37yGQyGBsb29P+uW6TFLNCFxLbiBd443pPgzrX/ZRKD8MQlWoVl69cwWeff45CoYC//jf+BqYj8vu24yAIQ8hMHwygiyDCPuOkhLiCvUFQUaM4f/48VFXFv/pX/2pg+3zhKalRGJkMHMuirh2rX+B89F7XkFNTUxgZHsZ3N27g2rffYnFhAa9dvBhfBb1HjAwPw7FtWI6DtY0N2pS8T1gtwkccURZI9N92r1kYBPjq66+xsLCAM2fO4Pjx420nPk3XYds2XMdBYJr7F07hK8bnIKcQRpLMXRsF5l0MhAQQ85ll23jy4484e/bsnvcvjsHzJmArf0J2Vs0tWrzy8NFAPAVCusoLtN68NQvKDwI8uHcPN77/Hoqq4tJbb2GKNeXhCHwfDlt0RrWjfN9HwAxCK/20MAwxPGCj8B//43/E3//7f1+QPAaBl8ooaKZJY/Ss01O0/ylnIHX7AoageYhXX30Vc3Nz+Oqrr/BXf/mXOHbsGE6dPh3f/xl9hkYIwfDwMFZXV1Gv11EqlfoyPj7rjNWNbr1Qdu1wPVzHwaeffYbNzU288cYbXbVv5K0YPc+D6ziNRmo/aIns32eZUxBskx5CA4MU8Ivby6OHD0EIwdweOOutwMNKrusi4F5CGw8V2MdajB7QagzF7W18dfUqtjY3cfjwYZw+c4bSupu+b7FKbd7GliNgngLXmopDKpXaFW7tB0EQYG1tDX/yJ3+CO3fu4L/+1/+6531G8VIZBcgyDMNApVKh1Mxmrn6XD1RzFePw8DD+2l/7a/jh9m3c+v57/PjkCV67cAFjUa30PT6sumEgm8uhVCxiY3MThmk2jL/LgYu2mvF/3inMCoGOBqFWreK3ly/DcRy8++67PTUI0nUdHitkik4W/UhDt8Rz4CFw9NNcZz9HH4Qh7j94gJnZ2X2TrQ7DEHXLQkgITF2nk2Gbe7LX8+1K8K5H+L6Pmzdv4ofbt5HNZPD+++9jOMoOIjsNuHhvEZ5cFuPiooWAKGCLQ35AAni//vWv8Tu/8zs4efIk/uzP/mzg0YuXyijIsgwtlYJsWfA9j4pyMfRSxRn3PUmScOrkScxMT+Prr7/Gb37zGxw8dAivvPKKWJnv9YEt5POwLQuBZWFtfR1TExM9rTx5xXXc6pPLS4txdigm2trcxJUrV6AoCt5///2euc+aqqLGuOmu5wn+9kAncmboo3TKZwUeGhlYL4Je0XTPV1dWUK/VMD8/v2+HtGybtqWUpB3DL0m0p0V0aAM63iD2Ew0fra6u4urVq6jVajh16hROHDsGErPK51pbIpnODSADzx0QQqBIEtwWC4PRpoY7/eKDDz7YV8mQl8ooAADRdWiahrrnwbHtRsVUluzqqITZ5oJns1n8/Oc/x8MHD3Dtu++wvLSE8+fOIVcoDEQCY3R0FE+WluDYNraLRQz3sLqIY79EWTENh0LrpkJPnjzBl198gXyhgEuXLvVVfUlYEs6yLNi2vWMUBoxnTUPlCPoIHw2MjQPsMrb37t9HvlDA0D7JM3vs/QrCEBnTbDBKPCzm+/5g8kkDCBtxhGEI23Hw3fXrePjwIUZGRnDpnXeE5Hv84Sk11Y/0ZY7CY0ZhVy1U5NxTqdRzLYIXxUtnFBRNg26asJiUs+/7DSv5rqSRO4AQgkPz85iYmsK1a9fw+eefY2R0FEePHWvox9oPZEXB8PAwNjc2sL29jZRpdk0x5WwrTh8M0Nnlbk4837t3D9euXcPM9DQuvv56bBV4t9B1HRbro+2HIeT9msD7ZH4NdAh9VjPvB6q1GlaWl/HqhQv7sv8QEIVbOhPsawBTExCr6b2sagdpEAA8XlzE1W+/ReD7uPDaazh08GDHMGrg+6LuxmAU1Oa/894f/DjNmJ6bG8QpPBW8dEYBAGTThF6t0tWM4zQkXiW2gmnl5nebDCOEIGUYePPNN7E8N4evvvwSv718GYcOHsSpU6eQTqf7Hn86nUa9VoNfq2F1bQ0z09NdrUCjTBY/ImHQ7hwAiB4G165fx71793D8+HGcOXNmz5OsLMtQVBWe68KxbZiG8VzQR/cDwlPYgxHdC6L36uGDB5AVBbMzM/tyLMe2BUmhmwUL7/nQDwaRRwgB/Pjjj7h16xY2NzcxNTWF86++CsMwOu4/DENUazWRXFZjSByu59HcQ4t7rxsGxvfAKHzaeCmNgqLr0E0TdctCEATwmgTaCFM+jHtQe2JIsFXM5OQk3n33XTx4+BCPFxexsLCAudlZnDh5sm/PYXhkBI7jwHZdrG9sYLwLnnnAu5qh+/grrzT97LPPsLy8jAuvvor5pt6ye4Gh66iw/I5hGM9VcniQeJbVzBy8Wc+Dhw9xcG5uX1pgBiy2HoYhzFSq6xwKz3UFLAfRLfZyNYMwxOPHj/HDDz+gWCxibHQU7733HkbHxnaMQYf7ZdXrogd8qgVzyHVdkDCMJ4aEIaamp5+bMGc3eCmNAkC9BZU1SWlWT231MPRDmZNA++yqqoqDc3M4duwYlpaWcPuHH/BoYQEzMzM4ceJEz/FESZIwNDyM9bU1VKpV2lOgTdyTF54BvSU765aFK5cvo1gq4Z2338YEU9EcFFRVhSRJCHwfrutCUZSBFh8JFtWA+P79IJr0248Wq12DEDx5/Bi2bQ/UsEdRr9cB0Ph5N9RnMTSwArgurw9hCet+4Ps+FhYXcfuHH1CuVDA5MYELr76K4ZERUZzZ3AktDo5ti7mDG8DmZ5dHI0JgJ9cQ+Y6qaZjc56ZGg8bLaxR0HYZpClG8umXBbHJ1B1I4RAikiMyCJEk4cuQI5ufnsbCwgNu3b+OXf/VXmJicxMmTJzHSgxiWaZrIZrMolsvY2NykTVeaViOiiU1ElqLbcyoWi7h8+TJCUEbDfhTmEUKgqyrqrGdvswTCQI6B7ii2+4V+Ctf8JobOIEAIwf0HDzA6Orrn3FYcXNcVjYcyvfR4bromYnJtR1/twyB4vo+HDx/i9u3bqNVqmJ6exhtvvtmwIOPHDdD+PfHZnAFQb7fVYoZLWcisNkccA/S5nJiaaivG+TzixRptD5AkCWo6DcM0Ua/XUSmXoes6LdMnJNYg9M0GIVQd0XacBhbKoUOHcHBuDo9ZPPPjjz/G+Pg4Tp48ibHR0a4msUKhgDpj8KxvbGAqspIXBWg7H7DhdN7vyuoqPvvsM6RSKbzzzjtImaboFzxo6IaBOqMJe8wVf5nQV+HaPoyjWCxifX0db77xxsD3zWsSEIYwDKOv3EmznDvf717heh7u37+Pu3fuwLJtzM7O4sTx48jGLXK6eEfCIECNeUSqqgrpjuZqaEIIldQhjf1LOBtJ0zQc2Ke8zn7ipTUKAKAYBlKpFJVc8DzU6/WGjli7ahf2WD5PYvZBJAmzs7OYnZnBk6Ul3Lp5E7/+9a8xPDKCkydO0Em+3SRJCMZGR7G0tASrXsf29jYKhQI1CL7fsK2Qbu4w6T54+BDfXL2KsbExvPXWW+KB3q9GKBLTQ3JcF1a93jI22xeegxxF2IdR2A/cvHkT6VQKByI6PYOCZds07CLLMPbQIKaZIk6aNZF6YBs5joN79+7h7t278DwPc3NzOH7iRFuSR6f2tGEYolaridxHc3Sh+R3htHceOgrDkOb1whCTU1M9hdieF7zURkGSJGipFIxaDZZlwWFVzqqqNlQ4RymZ/YaTeEcuv5XbSwgOHDiAA1NTWFldxQ+3buHK5cvIFwo4efIkpg8caGkcFFVFYWgIW1tb2NzagsZ6ETd/P+yQUwjDEN9//z1++OEHHDp0COdffbVBq6Zd7cJewRuSuK7bc7KxHfpRJh00eu2jsB9mrFwu48mTJ3j11VcHnlvxPE9I0huZTH9hujbbNHgNXTx7lmXh7t27uHf/PvwgwOH5eRw7erQrCYlOe7dtGx6TwU6Z5q7nii8kCSHU82USH7wNLCd6yLKMuX0sHNxPvNRGAQCMXA6V7W0oigI/CFCt1ZDP5cRDypPOwR7zC5IkdfeyEIKJiQlMTExgY30dt27dwmeffopsJoPDR49idmYmts9wNpuFVa/Dq1SwurpKm9o0xSrbVTR7vo+rX3+NxcVFnDl7FsePHWt5vvvhMSiMzufbNizbRqqXmHQXeJbsjl6ZR4NSC43i9u3b0HUdcwPmw/OaBMJCJP3Gx9teGX7dOkhkbG5uYmFhAQ8fPgSRJBw5fBhHjx7turiy0xPtMs00gObz4thb0ep5m4WONFmGwowHDx0Nj4zAHPAz/rTw0hsFRVUhaRrUMETIuiHVLYvG0BF5WPc4CXLPgxuXoIvK6ZHRUbz73nvY2tzED7dv49tvv8U3336LA1NTmJubw+TkZEPx2NDQEGzHgeM4WFtdxdTUVMMxuLxA8+RkOw4++/RTbGxu4o0332zLX4/WLgx6ojUMg1Y4s54PA80tPMMwUtAH62uQqNVqWFhcxMkTJwYewnJsW4Qp99Sno9O9Zu9NVIkVACrVKhYXF7G4sIByuQzDMHD8+HEcPXIktmag9e7bPx+B78Ni/Uw0TWu7b85c4hL9asQocen7gy+olwD8BIwCAOiZDLx6Haqq0jJ3y4KmqiJZNoipiYePovHlblfbQ8PDuHTpEhzbxuLjx1hYWMCnn34KVVUxOzODmdlZDA8PQ5JljI6OYnV1Fa7nYWVtDRNjY41FaGicnCqVCi5fuQLbsvCz997rStSOgLq/g9ZXURUFqqrS3AIzzC8D+HWKk41+Grhz5w4URRm4zhGvSUAYUibfHs6PF1LueifCsFEiA3TFvvj4MR49eoSN9XVIioKZ6WmcP38eo6OjfY2jXS4hDEPU6nXaI4GJarY7Dw6byXzoLCfHaeHpdBojPYhHPm/4SRgFI5VCVVEQBAE0XYfrOKjWag20PR4y6TevEO3qFvg+XeH3GIbRdB1HjhzBkSNHUKlUsLCwgIWFBdy5exfpdBpzs7OYO3hQGAbbsrCxtYVRptHO1U/56Dc2N3Hl8mWomoYPPvywrb7L04Kh63Bcd/DeQoRV9jTRa8e1QY/Osm08ePAAJ06cgMT6Yw8KvCZB7rEmoRfweoQgDLGyvIyFhQUsLS3B932Mjo3h9ddfx9SBA32FrXivZXFNWlwby7KoygEhNI/QjpkEZrh4bowQcW14gnlqZmZP8jDPGj8Jo6BpGoiqIrAsqEx2IfB9MTEJcJ55ny+WzLotRXnKQH8TQSaTwenTp3HixAlsbGxgYWEBd+/dw81btzAyPIyJyUnomoZKuQxVlpHP53fCR7KMx48f48svv0RhaAhv9yFqR0C9nUF7C5qmQZFleMxjG2TcdReb7Cmg58K1AV/Pu3fugBCCI32222wFx3XpewL0VpPQAc33Z2NjA4sLC1hcXITtOMjncjh1+jRmZ2dhmmbfz59Y3EXe5bhnw2XhWIDmEVpRbYWmGNuPZVmCiiqxJkK+60I3TUy8QJIWcfhJGAVCCLRUCrbjwPd9GIaBer0Oy7ahqOrACqq4txA0Uexi3eYuEDAWxOjICEZHRnDu/HksLy1hYWEBN2/eBADk83kMFQo4evy4YME8fPAAt27dwvTMDC5evNj3+XEBwUGvvg3DQLVahe040AfsLTzt3EKv7KdBjs51HNy/dw+HDx+mix3fH8j+gyBAncXXzT5rEnYhki+o1WpYXFzEo0ePUCmXYeg6Dh48iNnZ2cam9jzP0OM95ZXTzds1/z/wfeENxRWGRreTm8JPvPsa9xKCMITn+5ienu5LVfh5wk/CKAB0IrJVFZZlIZfLQXZd+J6HGg8jDWBC4SuGKKUzOt31svcgpr+rIkmYmZ7GzPQ0bMfB4uPHuH/vHu49eID7jx5hmNUv3Lp1C8eOH8fZAYja7YdR0DQN9XodPmttuKcEZhTPINn8LPMJd+/dQxCGOHbsGP1gAOcfgqqsAjRsNKgJznEcPHnyBKsrK9jY2ACRZcxOT+P8uXMYHRtruTAgoAa3F4+hZT4v6jVEhO4UWW57ns0GIQxDOK6LkOcTwhCe50EzDAyPjLyQtQlR/GSMQiqVQqVSoROR48A0TVTKZfgsjNRAA2UGoqHQpgvw1WIc5bDryZUxmDpB1zQcPXwYh+fn8WhhAU9+/BFPnjyB73mQVRWlUgl3797F+Pg4crlc38Zhv2oXTMNAtVYTndn2bLyA3ryySG1KtEe12DYMhZCi53mi45Y4DhtvtMHK04Trebh77x4OHTq0M6ENYGFjWZZgG6VSqb6lQ3zPw/r6OtbW1rCysoJSqQTX9zEyMoLXLl7E9PR09x4sC910+wy2uv/Re1yrVhuE7lrdPynmveUqsRIh0HQdYRDAcV0cOX4c2Wz2mRcx7hU/GaNACEEmk0HRdWHZNjRNE2GkumXRRFb0ZhLWILyJHdH2GOzfVg+vxENLbfYXAD292BIhmJ2dha5pSKXTuHXrFg7Pz6NULuP69esIggCGaWJifBzj4+MYGx/vmfVDCNkZ+4CgaZqQvnCa+zj3gLgrxROXok0iq/4WnzUXSUVe/OidqdXrgqevMHHF5oWCZVlwPQ+6rouJgsiykFORZBkSBi+p/fDBA3iui2PHjw9sny4jAABAugcFVABAEGB7exsrq6tYXV3FxsYGAt+nMfbxcczMziKbyWB4eLjvJGynnFHHhRcz/rVqlRaocYPQ4jxbLTA4FVXTdeEljI6NIZPJ9Nyh8HnET8YoANRbqFar8Jg4G6+y9Xwf1Xp9d3l8pNKym5WgJMv0QWozecYpLXLw3tC9rs0UScL42BjKlQqtxEyn8cq5cwiDAOsbG1hlL+qjR49ACEE2m8X4xAQ1EqOjXfXwHXh+gfHea8xb0DSt59W26JvLmvgQpsYasH65Yn/cK2jYOBCLABK5v0KuhBAo7H7KhECWJMruajIovM0pIYQeGwBYlWt0EuP/yrIMWZKgyDI1GIzK3NN5BwHu3LmDubm5gdF6gyBArVYDAaAZRkNT+liEISrVKtZWVrC6uoq19XU4jgNZljE+OoqzZ89ifHwcmUwGhBAUi0VR2NUv+P1tdb06PZsNBgF0PuhHXtxxHJqnZBR3oiiYPHAAmUzmhfcSgJ+YUeDewrbnwXZdaEGAVCqFYqkEz3VhNzWZZxt1PUlLPNHc5uHkE07Y7DH0aRA4FEXB+NgYZFlGrVbDJqOqToyPY4L1hnUcB6tra1hdWcGTJ08Ec2VkdBTj4+MYHxvD0PBwy/j4XthUcdCZtxB4HhzX3dXmMApuADzfh+/7YvIPfF+s3HxNE6Eg3glLkiRI7Hf+GWGfdVI15eGjdDodqyAbMi8y8H2YqRRkSRLeCO+CF7DfCagXGLDx85g0QPMRMjMSiixD7tCU5tHDh7AsC8cH5CWEoAVwACApSkttI5v1Dl9lhqBWq4EQguHhYRw5fBjjExMYGhraNXbRu2CPqgFokUDmeby2VNIwRL1W2zEI6XRbmmurPTmMreSHIXRNg+f7mJ2fh6Ioe2qs9TzhJ2UUAEo7q1arcIMAtuPANAzxWb1ep6u45lVSl7Fa7oYGjAXS6sEiAG1w3rzi3CMyXJcmDBuoqhyapolENU+0ra6uYm1tDXfu3MH3N25AUVWMjY1hfGxsVz5CsKvarNZ6AiEwdJ3KarOCQlGIx9xyz/Pgua6I3XMIuQFCaIc3WUY6lRKT/1OrLmYTlaaqbcMiPmuAFPg+PGbQfPachGFIcxaeBwvUc+FSzM1GIgwC/HDnDqanpwcWquA8/TAMqefBjuV5HjYieYFisQiEIbL5PKampjA+NobR0dHOXgV614dqiZj3pBuDUKvVRF6orUHosK9ytQoASOk6ZFlGOp9HKpUSHtHLgJ+cUeDhk03Xhe370IMAhmHA833UazWUKxXKTuoj7imzFSifANol0oTHwJOcAzAKiqJQyXBVhSxJ2GSaT3ErGEIIMuk0MvPzODw/jyAMUdzepp7E6iquf/cdLcJTFBQKBRTyeeTyeeTzeeRzOZABxcgN1sfZ4/RAQmhvbfYCRwNxfIKUJQmyotC6kCAAKhVIhAhpgkFdz06I5lg6PS+EUHl1KAqi/lDg+/R5CQL47LwDQBiQOkuycgPxZGkJtWoVl956ayDn4DKxO8u24boulpeXUSwWsV0soloqUQVQlhc4euwYxkdHYfQQsiLYKerqN2ndsD+W64vqfHX0EOp1OEx+wuzgIbRTIvB9X3hU6XQaiqZhgknRDFT59xnjJ2cUAEpP1TSNtrsMApiShFQqBc9x4HoeyqUS8vl842qTewttHm6+avWDAJ7ndWRX8Jgzr0fYKwhAV6yKgnQmg0qlgrX1dchtQgIcEiEYGhrC0NAQThw/Dt/3sb65ieL2NkrFIlbX1nD/wQORL0ml0w2GopDP0+5UHV78htctDGk+wPdRrVZRq9V2Xq6QyTTzFbOixK/+90Fcrlt0u/ptZ54kFjZSASCitMm9JHAj4XlwXRe3f/gBo6Oj0HUdfhD0TIX1fR+lUgnFYhHF7W1sbW+jXC7TDmNBAFXTkM/lMDE+jvyxYxgaHkZ2D6vgaI+OQVevd2KacYPgeh7CIEAqnd4lIhmF1GF/5UpFGHdN1zFx4IBYZL4sXgLwEzUKAFUd3djYgO37MBQFEiFIZ7MoM5pqqVxGPpvdxUgC2ieeFUWBw2og0CWjZi9V1M3QVBWu42B4aIjWYVgWVtfWMDk+3hN/WpZlTIyNYSLSG9oPApTLZbqS3N7G9tYW7t69C9u2xctSKBSoN8F+crncrpWZ53m01SF7WYEdaihPAHKvp18MpKteB/Bakk7j7LXSWmYeka7r4Pr8vKtYtVbD6TNnhH6UzPSkeKI+OqnVLUsY9e1SCcXtbVTKZRHaNNNpZDIZzM7NYWx0FIVCAYZhDPS6Rc99UPvlHkIng2BxgxCGME2zrUEA0CiQycHeTZ6I5yG24dFRGIYBRVFeWDXUVvjJGgVd16HrOmzbRtX3kZYkyJKETDqNcqUCz/NQqlToKqmZqtpmElcVBYSQXTHwOHAvASxWPwjDoDJtIUmSMDI6Cn91FY7jYHl1tWfD0AxZklBgXsHBuTk6fsbk2t7eRrFYRKlUwurqKu7duye8qkw2i3wuJ1xujXWzUtnErxsGVE2Dy1gdaiS30A94aG6/ISSzO3iEe7mrIuwE4N7du5iZnsbk+Dgc14UbhvBdF9VKBZZloVavo1qtolQqoVQq0d7BYQhVVZHP5TA2NoajR48in8tB03XRSnLfWDORWhB+LoNEK8PADQIPGXVLr40zCHz/1VpNCOblCwXkh4YA4KXzEoCfsFEAgFwuh/X1dbi+DzsMocsyiCQhk8mgXC7DdV1Uq1VkWvS7jVuNyooCElK1xE7NZDh7RYCJg+3lEdM1DS5jzSiyjPHxcawyw7C0soKJ8fE9dc6KgtNUDcPA5OQkJiOtQnmYYnNzE5ubmyiWSlhaXhZ9b/nEbbLueKZpig5tmXQauXwepmHAMM2u8jvN1+xpiOOJNpydQmZ9jCNkoTWL1dHcu3dPaPR88eWXqNVqqFsWXPYZDzGZpol0JoODc3MYGhnBUKHQkDwGqKdWYaEQg133QSEupBM2U4T73jkRx6A7DmO9sKhBSJmm6KXSbsxxx4qeR7VaBQlDpFIpjE1OghACXddfOi8B+IkbBVVVUSgUsLW1hbrnQWZxbJ6ErTB9Hqla3V3dSXZaCUYfdkIIZFWFz5qct1uZ7yoGC3e0Xvp9fTRVFQwJYMcwrK2twbJtrKyuYmJsbGDSEnGVpiFjDkmyjKHhYRSGhhCCelE8Vm7V61R/iq1wLcuiDDDLguu64vwJaJGQaZpIpVIwDANmKkVZYyw35Pk+pKbr/DQEL4TERRujFTcO7l3V63Ux6YtrUavRgsp6nU5kkWsryTIqlQpM08QIa+JimiYMwxBV4ZzZBOzUy/gh1e7hx64yKqmiqtC6YA71glYrd2CPOQXuSbd4BznqTQZBVdWWzL6Wo2mijNfrdepVEYLxiQkRNhpi3sLLhp+0UQAoRdV1XVQqFVQ9D2lQaqmiqjBNU6zIiCTFrgrEJB55WBVFEQnUVuimMrOfV0jRNDhbW42fyTLGxsZ2DMPaGsbHxnb1n+0XUdlx27apVAJPMIYhDdUZBiTGFgrDEGjxQpXLZdi2La5dvV5HnbVTtSwLm5ubsH78EbZtI2yq8+CxeF4YxkMvUf6/wgrGJMbmkSJMJr49ZzhVmFja2vq6yDWJOgk2ufIqZl41Hf2O7/uUUcSIB/xvJDK5cfE2kxs700ShUBD/NwwDt2/fxsbGBn73d3+3LXPGY7RSj1Xte6DsIrdchsJ0jGzbFouPQd1/IFIrEPM3PmX3LbVCWndGFMWEhFCDwLzklGGIosxWlfitaOPNHnylUkEIamQmWGOroaGhl6JQLQ4/eaMA0Lig53l0pWbbMHWdxrqZrglfyUmg1Z4NMWvGgoiuYhQ2IbWq4BS5hDboN/mss9h8MxRZxsT4OFbX1lC3LKysrGC8D8mLWIRUBrtmWfQFDEOA5QoMTWuI53ZKupqmCd/zIEkSctlsSwaXz+LGlWoVW9vbCJhXJqidkYlY0D59Hy6rYA98Hx77zPc8URdBT4dObrzw7Ntvv90ZPyHCmBBWmcxrCrhB0TRNGBZJkiA1GSueRDZYjYymaS0XANvb21haWsL58+e77imgqCoyqkp7K9s2XM+jVfubm/B9H5quo5DPDy4WTogo0ItF2H+fErQxCPTPVFakWq02GgTuOca8Q7HvVsRIR+HYNhzHQRAEmD9yRBiEblQAXlQkRgH0ISkUCiK/UK1Wkc5kILGYqx8EcBwH1XodElt5ynRDvgP6LzMMCssr8Kbeux5nxrG+cuUK/v2///f4oz/6IxQKBQDAv/+//i88ePgQ//yf/3OYpkm378E4qKoqcgrNkJgcxho3DGtrGB8dRXoPHGvXdVFjiqcBW/Xqut6XbAWw08vZdRxY9XrLAi2ZEKRTKXosVQWRJBSaq45J73pNQaRmYHNzE7/55BP87L33RKU3PycRl5ck2vO71f72EAoMAVy7fh3ZTKa7rmpNzwmn8vq+j2qlQpk4oLkHi8m8DIQm2iEPJsI7PR6Ld0vrWIdgWbAZSaHBIGD3AqSVQWiV96kw4bx8oYDC0BCy2ezgVH2fU7yc/k8fkCSJinWpKgJFgcVCBwClSKqKgjAMqSvJVp4NOjgRBhFfHYZhKHq2RsFjnG9fuoSpyUn84he/AAD85//8n/Hdd9/hn/yTfyJCVb0YBIBWLfMwRavzHBsbQ8o0IROC1fV1VCM5iG4RBAEq1SplarHK3LRpIpfL7Vn11DQMIAzhMG5+V2gTy+4FkiRBVRQYhiFefpX13IieU1c1CqR7iZQ4rCwvY31tDWdfeaW769nifMMwRABacJU2TeiGAc91UY4wlPpFN9v2mlMQlNMO3wuCALVqFa5tQ2LhsObeytHx7SIfEIKwjUHgxWqu7+PI0aMwTbOhW+PLisQoRMB59kRR4DgO7a4E+jCl02nRt7hSqQiX2G96yLhhUBg11YsxCmHk+//L//q/4uOPP8YvfvEL/I//8T/wf/yf/2djAovvs8sXir8UXpvJVJIkjDIPQSEEaxsbKDMV0E7gK7PtYlE0LVJVFblslhoDtEngdQlJlkXznbpl9T1p7SdRkIf/2hWP7SXZHYQhrl+/jrGxsQZWVzuEMc+I7/uoMKOvqSqGh4aQSaepkZMkWJaFSrUa+5y2A2cZdXONA/7dLp7hEEyuusP3fOap8QRwOp2OJXWIGglAsJXoByyZ3K5YrVyG4zgYGR1FYWhIePMvOxKj0ATDMJAvFEC4/AKbXAmrYeDJ0mq12hh7jlY7E1rZTID4ly3yIF64cAEHDhzAf/kv/wW///u/j+np6daD6+Kl4mwSJyavEIUkSRgZGRFhsvWNDZTK5bbbeJ6HUrmMer0u6Lb5fF5oDtEhkvaGoUvjZhgGwNqb2m0MXKeJZr845F15CntYgT98+BClSgWvvPJK9xvFUEGr1SoIILSheHgzk8kgxQrVwjBErVKhUuFdjLldUrnduLqpdu/GQ3AcB5VqlTL/ZBmZTKZt17QGD4W9n7vo4M3bMSlwIss4ND8fK/T3siIxCjHIZDJI5/MAIVRqm03sEnsAJULgspWKiJdyryGSV0CMp9D80l27dg1LT54g8P3GVoSt0OHB5Kslp4uwiyRJGB0ZQSaTgSxJ2NjaQrGFYbBtG6VyWYSKUqkUctlsPB2zzRi7DYcRxsghhAg2U1vsc01CM0Q1c6uevkDfY3I9D99//z3mZmeR72V12sTG4gsXieVfmumcmq5TD09VAUmC57oiht7yEOjeQxBD6bJOoaPRCEPBRkMY0oQ68+BbUWGbm+SEPOzbATy/WBgexsGDB7tO8r8MSIxCCxQKBWjZrMgj8J6ssiwjnU5DYhM+pyoCOyuoIAhoERt7IKPU1Ojj+PDhQ/zxH/8x/rf//X/HmbNn8f/9p//U3eDarKZ0wxD0vG4xOjKCbCYDhRBsbm1RNUw+3pCqqfKKTkWWRaio/RBpY55dq9ceVlu6ptGVOGM3tTgQ3W+b/eyHuei2cK0f/PDDD3A9D2fOnOl6m4aJjt0znyWA0+l060YykgQzlaJeMAup8MLNXd+NqUnpBNHbAq0nfa6+22k/tWpVvIc6K3ps8FCbjKLIIUSfkS4MT6lUQrFUgqKqOHv27EtZoNYOiVFoAUIIxiYmoLKkZ7VWoxxvMMofa7vnBwEq5fIuj4CXxKOJmspf3vX1dfzhH/4hfu/3fg9vv/02/vbf/tv44ssv8fDhw67HF/d66qoK0zBQLpV6Ot+RkRGqU0QINotFbBWLVOuoUqF1A0xNtldJBD6p9wVCxAtpsTHs+kqnXWDwDzlvhgS0KVzr01hUazXcuXsXx48d63sy4sVWIahwYTdd3xRVRSaTEcKD9WoVViSfw8OkvZ6Vz4xCy2ZCbRK9Yh9N+QNev9Gu2U5U7TTabrUdQqZvtLW1BUIIDh48iLm5uS62fLmQGIU2kCQJo5OTgkdeq9Wo6wo6GWQzGZp8bvImAIg4bhiGom4gBFt5V6v4gz/4A1x87TX8zb/5NwEAR44cwblz5/Cf/t//t+vxEcSvvHP5PEo9GgUAGBoaQj6fhyJJ2NzYwOLjx4LGmM1k+i522stqWtU0kbS3WnkLDK0ml0HHgnl4hbSY6EL6pb72/f3330NTFJzos4GOZduigU+aCQt2C0mWkUmnaThJluE4jhCB67eYMmCy2c0LCZF47hDb35U/aJFQBnaeM75g4gap23FWmXS+67pIZzK4+PrrXW79cuGnEyjrE4phIFcooFIqiaraIKQaKJIsI5vNUrfWdVFlL5DOqYyaBrAqS9/3hQufTqfxB3/wB7uO9Y//8T/ubXBkp3VkdDWey2axtLTU1/kWCgVa6FStosrqD2amp/cWUyWkr1g0h2GaqJTLsFkv52hBWzf7G3T4SISOWoVkulj9xmFrexuLi4u4cOFCX20i3QhjzmQSDz2DrcQVxxH1J5VKRYRMewWX6mjwqFhosV04h1fH87ChoigwI+Gilsdi70Iv9Sm8jsPzPFQrFeimibPnzr309QitkHgKXUDLZmGYJu0XIEm0kI0lmQkhSKXTIsbOlSpD9iKoETYQX3HtCyLhpHwuR2mGffTEdV0XsiRRih9Llq+srXVfL9BqeOifIsoL2iRCxMo1Dq2u7KCj/jxH1Cp01M8dDgFcvXoV2WwWBw8e7Hl7z/NQZXkkQ9M65nw6QVVVZBmpIgxD1KrVvroD8r7VYjLvIgfE8wfcIGi6TsNgLQwCX2xEC9O6HavLDAEIQbVWg67rGBoexrEBtTp9EZEYhS4gqyr0bBa6YSCTToOAPkzlSkW0pkylUqJBTNRocFfXjlBEg30yDjyUkc3lABbS6gW8StcPAuTzeczNzUFTFPieRzt+sdDZnsbY53YmU/r0fV/kdno67gBDSEEHT6GfHMrt27exvb2Nixcv9jxW3/dFnYmmKD11RmsJQiDJMtKsxWsAoF6r9WzwuOwJkaSu8iy+5+3UTTCvxTTN+DBdGIowXdQI8DBtJ7iOQym7hMC2barSq+t469Kl7k/wJURiFLqElkpBNQwoqopsLkeTzOxl5CtHXdep0WCU1XKlQjVx2Hd5Mpo/3kEYtpX07QuEUGorIT0lmwWTKggojz2dhmEYmJiYgM4kK1bX1rAdYSb1PjQW8+1jW0mSkGKTQ71eF15QdLJ4WqTUdoVrYQzjqhPKlQq+v3kTR48e7Vl5k1eWc02mvbaFbJaB4LkzAlbhW612H6fn9TtAxwY3APVSK9UqQhZqbZU/aKCYRu4/ifl7K1i2jVq9LtRjHceBJEk4f+ECcm1kS34KSIxCD9AyGUiqSnMJjIUT+D5lH7HwiqppyHJmEovHcsVOp2mFS8CkpyMvzyCgqirSptl1stnjxi1iEPiqTlEUTExMIJ1KQZYkFLe3sbK21rOmEMdeVuyarkNhOkf1OK+lzTUclJ8QRgx5XPioV1mSEMDXX3+NlGni9KlTPY+lbS1CryCNktEcnIZNGNsu9trHgMf4pQ5eAq8/qFWrQg0gk8nsyqtEZWVi6xLY5+2ezTAMUa/VYFuWkGXnuklz8/M41I3G1EuOxCj0AEmSYObzVP2S8fVVTUMQhihXKiLe3cBMYmJ6vufBcd3YB5ZPlA2V0XtEvlBAuUOFMgARL/Z9HzJjdzS/wIQQjI6OYqhQgCzLsC0LSysrfecZeNVzP+Cqrp7vw2JGttt9DSKEFJVqbhnS6AH379/HxsYGXnvttZ6Sy9wgdFOL0MXOOjKBFEVBmj0bXH217S6xUyjWjhLrui7KEeZeXP5glzHo8z5yyQ/bdalWkmnS1rCOg8LwMM72Uj3+EiMxCj1CkmUYhQKdFJpcXNu2US6V4Lmu8CZ4y0nbceA4TsuJNJooC9jPXvIOWdZvWpT1t/he3bLgeh4IIVSRtM0Ll2UtHRVZFnmGap95hlbFbZ0gyTJN+LMwkh+zsm15zH4G2gQ/Ejraq5Gp1mq4/t13mJ+fx+joaNfbCYPA6J7pLmsRWiLC6W8HRVGQ4sWRXCY9Dszoe3HMIwbe87gWCRel0umG/AGvL+A/fN/tnpm4EYVhSDWeWA5QliRR+FYsFpFKpfDK+fM/WbZRMxKj0Ad44plT6tLptAgn8VAMT8qmMxlomgZVVWE7DraLxbYvoJhomFEImtVYu0SOMZCCmNg7B++AFgYBUmyi7YTmPMPa2hq2tre7HldzzLqfiVXXdVG7EA1ldJrYBpHcF3TUHuU9do0FNGyks6rZbhEwPSNuEHjBWd/eZY/PFg/hSbJMKdjRXSFCxyWEMo9iahRsx6H1AIx8oel6g34RZ+nx576XkFzYZKg8FsLlno3GWFWqqmJrexuqpuHwsWMYHx/v+hgvOxKj0Cc004QWYXkoTCnUYBXQXCvI9zyk02nksllIAOx6HVtbWx1VKaNc97AP7yGXyyEMw8YQEvca2H6qjGbIjVa34HmGTDoNWZJQKhaxsrrattNcKwiPoUeYqRQQhrSzWJdhrF1SCH2gHfOoeUJqh0ePHmFtbQ0XLlzougYkahDCMESaGwT0bvC6KRxrhTR77nktgdgndgwDsLtGgdcDWLUaEASC3WSapqhbaJa6Zr90Na4GAxVSNd9qpSK642XSaepVSRKVfPc8TM3M4OChQz1fg5cZiVHYA4xcDnKEHUGYW8oTzQGTiahWq1R9NZ+HpCg0zFQut+TcC5ZO88TDJnM+KbSbCHLZLAghsclmnqj1WNjI7IOxQgjByMgIhoaGRJ5heXm5K7po3MTca55BlmUYzLuxbHtguZhOaFWj0MukbFkWrl+7htnZWUx0KYvNDQI3StmIQegJzBDsJTZPJIkaBkblFGGkyP6CIBBGkhACm4VvONXUMAykmYS3kKHY4/3jvUs4tVroJOk6stmsWPi4rotSsYjxyUkcPHgwCRs1ITEKe4SRz+8KJSiqSpvNcMVSx0GpXBbMJO4FcG+ibZ4BuyfRaE/kVuElRVWRTqVijUIYBLAdBwGLR+9l9ZzNZmmeQVHgBwGWV1Y65xnijAJ6DyUZuk4lyllfgK4m5j1OPHwCbKajdpvkDQFc/eYbSJLUtSw2T5AGLH8Sx8zpGn3kceIg5EckiSb8m+4dN54hgCrTUUIYQmbMIo1NxHEj6SfMx9+FOiseDVhhaTqTQco0hWfnui7W1tYwMj6O8cnJJGwUg8Qo7BGSJMEoFHZNCrzSWVBXgwC2bcNzXWi6Dl3XIckypbRWKqIJ/C50MVGK8FKTLHAun4/tkWDbNkKwjmIDkATelWdYX6d9k/ugrfbkMbBrzIsJ2/VdaNh/n0YwKoS3S8uny3P98ccfsfTkCc6/+mpXVcc+kxzhVFEuFb1rbJ12NMDiPc5W4lpYLuthHAXveW5bFs1rSRIM09xhFoXt+y73Ctd1qXfA8xSahlwuR6vyGXzPw/r6OvLDw5iYmuquxelPEIlRGABkRUFqaAiIWS0qka5kAH3ga9UqbNtGNpMRnzu2LcS44sDlhTvp6ojwUhAgk07vLmBjHkrAVE+FN9LXmUfOM5pnYGGrldXV2HBSu2P1OhZZlqmBZUnnfuo9ouyWXWwXntchZId3L8s7jJ0O9yMK23Hw7bffYurAgfbNlBi4h8DF41oZBDrMNmMgpG+Bvt27IuLcZVkW3kK0qZOgmToOiCSJvgdcWHKQCIMA9WoVpXKZJrW5d5BKNeSqfM/D6sYGsvk8pqancfjw4Z9Uj4RekBiFAUFihiGuxJ6watxsLgeD9S8ul8soFotUYyabbfQaWjQ6IZH9tVv5cZXI4eFhlMtlqu3CQkwOW9VJkjTwl4LnGYZZk3vXdbG8vNy718CSz91OIIZhCKnkWkwfCX5PQgA+Kz7jNSE8eR82/R6VW+bxbo/lcoQceDQ2zyjK/Pc4XLt2DYHv48Krr3Y8Jy73wCUiMqzuJQ5t2Wxs7Hv2FKILksjxdE0DCBE1ONVqFdVqlT5noA2rUh2E7MDH2APCIIBlWSiVy8JD1DQNuXweqqI0PDu+52F9YwOpVApTMzM4cuRIS6XVBIlRGChkRUFqZARAzItKCBRJQi6fRy6XE5Q+nnA2I43iHccR/WHjIFbTHV708fFxEEnC8sqKmABrlgU/CKDFhC4G4TEAdCKYmpoSsdxSqYSllZWO0tdx6GY8hCUuQ9Br57guQlAZES8I4AeBMAaiP0AfhV4t5S0ivPpdn7O/LS0vY3FxEa+cOydUdFuB9w8AM0CZNmJwsYgYgT1nD/i+WhAbVEWBxJL9G5ubVBGYVcanWd+DVvttuLfdMoyixoDlKcAS3+lUatczHAQBNjY3oadSmJ6bw+HDhxOD0AGJURgwFEVBani4MQTBwVZbhUIBWdbK0vd9ETd2XRemaYpKaL7qarXK5snZVjFYVVUxNjqK5eVlADQc4XsegiCAqqoiB9E81kGFk8bGxjAyMiKK3ZZXVrCxudl1uEX0e+4wYRBChCJtGIYosTBcu1BSP8lMzm5pSPK2Yj1FxmxZFr766itMTEzg4MGDbY/tMc0sHqZK92gQRBezASSTeaio1b5CliezbBu248B1HCgsnKdpGpUkaXXv2hRUtjpWszGQFQWmaSKbTkONWeQEQYD1jQ2ouo6p6WnMz88nTKMukBiFfYCiaUgPD7ekjUqShCwTnFNkGZquC62ker2OEDRWTggRXoPdwmtoQMwLODk1hTVWQ+B7ntCWkXg4ADvFQkEYIsCOgejWI2mHdDpNvQamnVSpVPDj8nJsmKfVOZHmVSUHm5B5HkVTVXrdQBsidZwYe5w4vbgkc4cJOwgCfPrZZ1BkGW+88Qaty2DV0M3nxPX8wYxcupuwCwe7RgNR3yU7/S+i1yhk5xNEJuiaZVHZF1BGUjqdFvIWcSJ4vT5JrYxBmtUc8BBo8365h6AoCqZmZnD48OE9iwX+VJAYhX2ComlIFwq7GEEcumHQl4atxLLZLC3iYSJ70VoEri9fiSiyNkNMMk3J6MnJSXhBgPX1ddGJqmULSWCnkprH2IGeRd6aIcsyxkZHMTo6Ss/Z97G2tkbH1KGID5FzEi9+GAI8LBThwgOgonCghVOd+lT3wnLhEtAgpDF81OHaXL9+Hdvb23jr0qXdYQvuCYEmZ7lBUPrwEHpdebfbD38GONtKPIe+T6uRSyUqc8ESuynW41lhnq/HvNFozopf6W7H2M4YRKuf4xAEAW2pKUmYmp3F/Pw8lXBJ0BWS9Ps+QjEMpIaHUd3chCRJDWwIQgiymQy2trfhOA40TYNhGNA0DY7jNBQFcQMB0MlDY01U4hLF/Ah8QslmMsim01haWqKruDBs6FzWCSK8FEZE0yIhhV4m1lQqBV3Xsb29jWKpRNubWhaGh4ao2Fo3CAJ4jIMeN1YecqlUKrBdF4rj0A54cefW9ch3ePdKl30BAODx4iLu37uH86++2loSmxDR0Q+gLVxTXdaO8HuyJ++A3V/eTCcuL8JFHR3bFtpCEiEwdB0qoyG7LI9jOw5C5ulEjWcvxsBmzz9/xmRFgcHkNfixAwCh78fud3t7GwGAGWYQfupS2L0iMQr7DM0wgEIBNfagRvv6KooCwzBQtyzU63URg202DoQQBGEI23EgM5aN4zhQVRW6rrddNRFCMDU1hcc//ih42f2IpzVIDnCaJljylRDqcrLvtJvQZFnGyMgIdNPE5vo6XN/H+sYGqrUaRoaGWhZl8RARwCaFCM89KqAG0FyKYZqwLQvVeh1ZWW7vHXUBcexoK9A2E3K5XMbVq1cxMzuLwy348Jwt5TkOlXE2DJim2RWttueAXpSBxA19EIBIkkjKN4MbA17XAuw2BhyyLMMLAji2jTAMKZGhhwVDV8YAO3Rh/tw1e2pbm5vwfB8zBw/i4KFDtLdIgp6QGIWnAI2FNGqMmikUNpnr7TgOfPZCaexlk2KMA58MOSspCAK4riuMS5xxIIRgcmoKd+7eRblSga5pe54gBRhdMmS5CPGC8hwAn7Sx21CYuo6pAwdQ3N5GqVyGVa/jiW1jqFBocPV5CKN50uITcjTRHv2GoevwPY/G6atV2igmJhzT7Up7l7wFX1XHTHye5+HTTz+FYZq4cOFC7Hd830etVqP7Zc8Br4CXseOhtUJIBy/GEv+lHePdkBtg901iBiEuHm/bNm0hyz6TJIkagxbJY1mWAcb8UhSlO7pzGMJ1XTiuK/qRALuNgQg9RY1/zPXZ3t6G63mYPnQIcwcP9tywKAFFYhSeErRUCmEYol4sCrkCicWnTdNEpVpFvVYTDJroqnuXcdB14S14vg9VVYVxiGvYzuWu19fWMDc723dFbzOiK3XB6WfnFp2IQgCIhnwiE3G+UICZSmFzcxOO42BjcxO1ahVDw8NQVFWIqu06duS4YtKIfI8Q2nSmzIqaavV6bIgq2h+hHXY11mn1/TDE1a+/hlWv48MPP4ydHD3XRaVWo8afJZQbvsdzKGEIv1WSHRD5nqjuU0tD0uzFxUyqQRDAsm24EWMgS5JgE7UDr7PxgwAqy4u0gs9EDB3XbagEbzYGAIRQXvM4uZfAq9m3trcRhiEOzM5idnYWI4wanqB3JEbhKUJPpyGrKmpbW+IFkmUZpmkKfn3dskSyFNh5iSVJgmEY0HVdNAbh8hkO6zUryzJs24am6zCZ50CY4ZmcnMTm5iZmZ2fpfhFZQQ7ASIg9MA9oVwev6MvNJ7BIuGd8fBylYhGlSgWWZeHxkyfIMHFBzsRqeewWf+Ma/bxS3LbteGmJTufPkqzAjlFo5WHcv38fjx8/xptvvYVMNrvr7zx/wGm0mVSqZc1ESAhkQoQ30WDAoiG8bsJNrXIGoKEYy7bhRFfrsiw8g3b7JKA9DMIggO/7IIzd1nxNQ/acuq7bQJYgkgRN06AxOW4OkeNoOiZfJASgz1zdsrC5tYV0NovxyUnMzMz01JsiwW4kRuEpQ9E0ZMbGUC8W4dbrIpmcMk26erJt6ExsLA6EEKiqKuoMuIfgsc5ufNKp12rQWRcrTVUxMTGBxz/+SFdnUUMQCb0Mwn9oyD20C800xYMJIcgXCkil01hbX4dTq6FULqNULiOXzYqK3nbGIe5YiqIgZZqo1+uo1+tCmqF5zO1CSNx4S5F8UFzbys3NTVy7dg1Hjh7dJWMRhiFqtZpoaKRpmmgoEz02N9TRvgQSITS5vrOzlmNtOjFBLW0+vzAM4XkeXMeBE2GA8TqDTsYgOl5+DN43W1BR2TFsx2kIDwGUvqpx7a0oASN6HZoNC9snCEHo+yiVSqjW6xibnMTo2Bjm5uYS2ukAkBiFZwBJkpAeGoKtabCKRfpiyTI0w4BtWajVakJNtRmEsUE4311n4nq+78O2bRoLZsbFdhxUazXomoahoSEQAFsbGxgdGdm17+j/BmEgGvbflAhuB170Vq9WUSyVqMxxqYRytYos60sRt7Lm1N9ooR8fAQ+vcdpntnkffNKUJEq/jdIyAdGqtCFBH8lpgJEAPv30U+SHhnDm7NmGc/U9D5VaDQHrMGaapvBYdkmiRK5X1MByuucuNF/TSJ4nLkTEFw8ek6GIXnejBaNt55RbG09ehMm/Z9XrseEhjS1o4u5hXKgoCv7cu46DDUY5nT10COMTE5iZmemNwpugJRKj8Awhwknb24DnIWUYcCyL9h+2LJiRJj4cYiKi/xETiCzLSKVSou+sbduo1mpwHQe1eh0ElBK6vLqK+SNHoLV5gTh3nrvoe8EuwxadTGPOzfN9OtZ0Gql0GtVqFcViEZ7noVQuU+OQySAXSRxLUaPDV9lojK+nTBNlz4PPKsWjkuFiVcrqOKLhrTDckceIhjSieYwgCPD555/D93289eabDdRjJ3L9ZUaXbTXxtrouHHKMYYiG5IgkNSb8GQLfpwuFph7hEqhgo9bGM+Xexs5/48dnR1rNVqvVne9LEjR2jDjWGw9Bmc6s/AAAHoJJREFUdUqsc12qarWK7WIRuXweoxMTmJ2dxfDwcJstE/SKxCg8YyiahszoKKxiEU69TmPgpRKdSFiSuSUik2E06cvDS5zZVGFx+kwmg+XVVTxeXEQmnaZSxs1JToboxDdwAxEzbj65Nh8jnU7DTKVQq1ZRKhbhsbBBpVKhYSXWTH5n4CFCEqMmS6jMdrlcjje67cJHngew3g1xE/etW7ewurqK9957T+wzDGlfYNu2QUAn31bCcM0sqnbgeaQoopXpfA9BEMBzXdjNMXzQ8I7ohxB3TGZg2oGHnzzPg+t52N7ehuU4Qk5bjRqb5mPwa9hslFsgCEP4noftYhH1eh3jU1MYHRtLGuTsExKj8BxAkiSkhoag6DpIsYjQ91FhYnkgRPQpaIWGGG9k0uLJacMw6MvLVEvX1tehKAos28Y261NrGgZMw4DGVFyjGFS+QYw3ct4EaFAnjYNEaGOZVDqNaqWCUqkEPwiwXSyiXC4jGylOCsIQMr0QlMIbif1z6Ygqky4nsgyjC3E0nsiVZXlXiGNxcRG3bt3CmdOnRcMW3pTe930QQqDrOpUpb5UQ7yHRLwoI2aQarZgPGcXTdV24TZXiiqJAUxTaX7nFhB9H7Y3C9314bN++54nv+b4P13FAggD5XI4K07U4hgQg7CHME4LKym9ubkJSFMzNz2NichIHDhxIwkX7hMQoPEfQUinImgYiy0KmoVKpAJkMNMYk6kYcLm5lrygKZmZmsLi4iM2NDZw8cQK2ZQkhM9dxUCqVRM2DYZrQVbVth6+9GgsejuGGgRfptdqnRAiy2SzSmQwq5TLK5TJ838f29jZsx0GKKWVyhpCo+I3sQ9U0GEEAq16HVatBIgQaT6o2Jb93TjQUbKFo0dzS0hK++uorzB08iOMnTgCg9Mio7lIqldpF5+wUJmoFnm+QmGAiQlrD4fm+YPZERy8zZo/awhDweoXmkfCxBUHQ4A00NxIihEBRVXi1GnTThMwkvneNOxoi6uG8QwDlUgnbpRLyhQLGWLioUCh0vY8EvSMxCs8ZZEVBZnQUsqoiWFmhuYFKBRLrucCF7NqycIBdDBaAGoaDhw5haWkJpXIZszMzYlVbr9dpZzgm28wprqqqwjRNEQqITi7NI+jXSES3i8bj23kOuVwOmWwW5VIJ5UqFslHKZfieh+GRkUZaL9DAhDIMQ1TQVqtVkHSa1oc06ShF0RxqWV9fx2effYbJyUlcvHBBsIsc16X3SJJ21R/0EiZqHjvbgbivPksY15rakEqECGZPqw5t/Brv8gjDUGgXcW8g7jqorDhNVhT4LJwXBAGyTQaBVyDz47YLETWH+zzfx9bWFhzbxuSBAyJclMhe7z8So/AcgrOTZE3DyuIibNtGpVpFhiVXuRBZuwlGrJCjdD9CMDoyguGREdz54QfMMsZGJpNBJpMRxUv1Wg2249AJol6HZVmQ2USga5qIRyuMptlwXLQpoIobY6QGIO7vHM1VuQCd3PL5PLK5HFZWVmjOwXWxubGBUqlEvQrTpKGMqJEEYKZSov9CtVajgm48/h1jjHgsnxCC7e1tXLl8GSMjI3jjjTfgeh5Vt2VeDtex4temL2MQGSu/RnzV7rGEOU+AEzTF8NtcxwaWGTMCfmTfzYZYkiTRtjUuB8EXEjKreOb3pVuvoLl+wvd9lKtVlItFaLqOmfl5TE5OYnJyMgkXPSUkRuE5hpFOY/LgQSw9egTHtqlcQzYrXPFujEMDWGHRoYMH8fXXX2N1bQ3jY2PizxLrEJcyTSp14Dg0xGRZ8H0fVr0OO2IgFKYpJLF/+f9FgRcaV4pxI+zEOuGIrpibDYRECPLZLHRVbeDFb21tYXt7GynTpM3iNW2HshkE9DzDkFYYM6OrcOmHpqQ4nxDL5TI++eQTZHM5vPnmm6hbFjzXpeElVhPBJ+ZejUHUEHiuSydqNmHvoq6ysBeRZdpprCnZziUsOLjktc/26ft+fHc/QoQBUBSlrSRKEARUu8nzYPBK+pjFSLtzjRqDClMC9jwPmWwWMwcPYmZmJhG0e8pIjMJzDt00cWB+Ho/v34fPmESZTEbQRnsyDoyZNDo6imw2i1s3bzYYhSgkSRLJ56gwGpfWcG0bNgtNyZJEf1h4SZIkYRyihiM6qRNEvJke0WwgwiAAkWXatjKbxaiuo1Quo1qt0gZGtRoqtRpURUEmlUKK9ToOAWRSKVSqVRo2q1Z3PAYWrxfXQ5ZRq9XwySefQNd1vHbxIuqWJeoaeLV5w6q825UyywsILyCiihv9HjfEPHTjMonq5mP5rKgxYD00vCDYlQ+I7pcX9HEj0K0Rc5lyqiTLlHXUh2cQBAHKlQoqlQpNmgcBxsbHcebcORQKhcQ7eAZIjMILAE3XMXPkCJ7cv0+L26pVKq/M/i6SeGyC4sYh7hXljKT5+Xl8e+0atre3dyXumlf1URaT7/uC3eKzCcwPAsqFt22h1SNxgyBJkNhEI0kSDTnJMuQOq9BuQegAqUwzm3AkWUahUEAun4dtWVRXql6n3kOxiO1iEUYqhUwqBTOVQooxkrgByaTTkCVpp1eDJMFzXXzyyScgAC689ho1RKBUU94sqatJkV1fz3WFIYgyecQ1b1qxS6x5EIBdHgAPJ0X7cMQhaqz5T09d3aLHDUNUajUq+87YVW3PmXtBMcYATPBQlmWcOHsWR48fT4zBM0RiFF4QaJqGyUOHsPTwIRzbBlgB1q6wDDMOQqYbjclbgCZaJycncefuXdy6dQtvX7q063hxExAAMZnwKSAak/YjYQnf92lTFraaJQAkRaEeRUQyIvB9wZSS2Oei9wT7tyPjChGGC3Y8EIkQGKZJ5ahZeKJarcL1PME+kmUZZjqNtGnCYv2rqyyU5EdW17/5zW/gOg4uvPaakHHghrIdAt+nPHvfpx4BC980g3taKjOWvCaC12+4noeATfh84q/xHsUx4N6Z0uTBdYsQaJBDbzY0jm1TDSdJat0QiOVnBPEB1BhUKhXacpQVCyqyjKFcDmfOn8dwolv0zJEYhRcIhmFg6tAhLC8uwmFVo2YqJSbBhspTQLx0PmH9DpiRIIRKNR+en8d3N26gXKk0MEd27YchbvrhE1iUFeJHwiCe59Eubiymzbt3hYzDH4BOFLxmgYeZokZJGAr2d+51cMMiSZLgxQsGER8/r1FQFOTzeeS591CpoFavww8CVEollEsl2uc3CKBrGqospBQC+P7772FbFl577TWkUimoqoo0S1QHPOHLJ38WAmm3Ykf0nPh5gNUZsJxIwFbPrcwhL1aTWPhHYl4Z98T6obyK60bITrc99m/zc1BhPcXVJi8hGh5q8CxaGINsLod8Po8jJ07ECggmePogYTeCNAmeK9RqNawtLcGuVCARgnQ6DVlRdlbKbbbloaUQQHF7Gx//+tcYHxvDG6+/3tWx+3lYuOcQ9SiEhART6IxqFwWRCUlM+oBoUCQRWrhFmKHgYaNatQoiScjncmKFK0Jp/P/s+/zv9VoNVdalje+Hq6mWSyXcuHkTiiTh7NmzyOZyUFUVMmMicclqvhKOsoXEv2y8fCUts9zHroLDFteO01ujRlBmSWSPaTL1A5EE72Nby7KwurEB3/cxPDREjUIL1pbruqjxepuI/Hg2l0M6nYZuGDh68mRSmfwcIfEUXkCkUilMzc5ibXkZtWIR5UoFZnMoo8VLyifjEFRf6ODsLO7cvYuTJ0/u4pnHIZZBBDR4K3G0Rk5t5AgiyVUiy7SRDltlR7fmhiKMeBsen5DZv7zKuM6kQYCdFWtD+IP/RHj//FgyIagzhVnP87C2uoq1tTUQQlAYGoLLpDFc190xLGwyJ5H6EV5LwkNgDRXIjTei5YTf7AnFwWu6TnHYNfFHnol+PYkgDLFdKsH3fWhMjJGfD4ftODQ8x64X9zy4MeDSJNlcDoeOHm2ryJrg6SPxFF5g8AblxbU1eJZFC81SqcbG8gytPIhiqYRffvQRctks3n33XUq9HOAYxcMVDQk1PXIeY8lwcH3+qDEQ/zJDEFVE5b+XymUgDJEyzcZJmK/c+XfZZC6orWzSDlj3u0q1isXFRZo4DwKMjY0hk8/TwjBVhcEmQ8M0oSmKMIpiAm76l+v88L93mvA7XlMWZgrCHXG+XUVu+4SN7W1UikV4YYiJ8XEh4e44DurMEPieJ849DGlrznQqRVlzLNx1YG4Oo0wWJMHzhcQovASo1WpYX1mBXS4LhVGhad8BIYAHDx7gqy+/xNHjx3Hy5EnRNavf8EK34A8eT6Syg+6srKNx7RYTaBDxGvgKNh2RlmgIG0XRtD/LsuCwFe61a9fguC6OHD0KANA1DX4QQGGhHzAaKUAJALquw2CxdaEEGuelcO8iJgck/h8Z764Xk23rsxqS/bw3YkyRHEGtVsP6xga8IMBQPg8iSaJ/RxgEO7LjAHRdh2maMFOpnS5sYYjc0BBm5+eTyuTnGIlReEngui42NzdR3dqCyxRADcNoHe6J/A4AX3zxBR4tLODNN97A5OTkLr59y8l1AAjDEB7LO+wFlUoFnuvSxkLtJh12PgELCTmOA4QhtopFfPfdd9BVFefOnxdCdrZtC29GVhT4TJrc8zxatRvJIei6Dp010NE0bV+olTzstp/gXhW/37brYmV5GdVaDRIT1+N/5zRg0zCoIWDNg6JIvIMXB4lReIkQhiGKxSKKm5twKhXRYyEunNQMx3Xx0S9/Ccd18fY779BG900vNhdQi1JcB2UkXFZtuxfUWcU1F/TjEDLNkbCTMAbsXNbX1nDjxg0hXWFZFgiANGPEVCsV6s2EIW2Sw5RnrXodlm2Lqm8gMqESqpCqMWFBNVIg1q+xCEIqWR1Xjdw3mhhD/Bguq6WwLAsbGxuwLAuSJNFGR6BMMG4EWqrAhiHyQ0OYSbyDFwaJUXgJUa/Xsbm5CatcRug4NPataR0n8I3NTfzqV7/C+Pg4Tp85QyWQY0IdUeyKo/cJn03WPB7dMxhrqF6v0xg277MQebx58yHHcUQCWFVVPFpYwA+3buHgoUO4cOECXNdFvVaDrKqiP0AICAOAMISmabT1YySO77J2qLZtU0ZVxEjsDJOGWERlMpOpUJisNa8Ajz1F7NSF7Om1ZUbAZY13BCssIoTH77nv+0JqPAQwMjKCTDqNlGlCi+t3HYEsy5g+dAgjSe3BC4XEKLyk8Fjjk2qpBKdWAwkCwRZpLmaL4vadO7h27RpOnzmDifFxpDOZ3d+PFiWhMRQlEq6R+HI3U3zIOf5AxzBSw4o0MvG7joNKtQpFUZBlK3zeDMa2bcocYttqmgZVUfDNt9/i8ePHOHPmDI4fPw4CCP0d3TR35WZs26bS2IRWHDc3+QmZaB7/Lj8uL1oLfH9HmoOQXeEngCWiI9ITKstl8IS7xw1nm1c3xE6YkHsunu/D52OJTPyIfA9ovF+O68K2bUiShPGJie4YaoSgMDyMA3NziXfwAiIxCi8xwpC2L6xWq7AqFTj1OkLfF32dW7GUrly+jNW1NVx8/XUYhkFlH1qtXtnk3zDxRxKsYRhC5uGbyPdI83fBjEEYwueJWfb3djz+KLiMM2G1G7zhTBhptKMzBVPP83DlyhVsbW/j9ddfx8zMjNjP9vY2EIZIx4TQAJq/qbDiQd5DYFdTmcgxm6+XHwRwuQotVz5lOYtoCEpM6ICg6vLajl37jTkOR0svD2iQ0hBGSFVp1XetRs+TEKQzmY4GgRuDienp2FayCV4MJEbhJ4AwpK0hK5UKasxzCHwfmqpCN4zdq2HHwV/+5V/CMAycO3cOYRgizXoODBLNCexm+Qe/h7g5D4dsbGxQlU0+oYdUMVTVNBi6DkmWUSmX8dvf/hae5+Htt9/G8MiI2I/neaiUy5AkCdlstuUYfN+nIm7MYKUzmfa9l3s4DxHPZ+EcbkAAGu+PFvc1rO7beIAEEOq2asQAxOWNeG+NOuvVoOs6crlcSwotIQSFkRFMHjjQkMtJ8GIiMQo/MdhMgru0tQWnVgN8HzLrtqaqqpi8VtfW8Otf/xrzhw/j4Nwc/CCgCdyYdp2DQhCGDeEXgBZptQp3hSGVvXa4RxCGtHI2DJHJZsU58ckvCALcv38fN27cQCqVwrvvvINUOi32RwBawFavQ2MMonaGKWA6SZ7vU3kMxr6Jm5wb6iLagCeo+Xc9398pCCSEHmufXlk/CFBj8h42Y2TJioJ0JhNLcZYkCfmhIUzOzCQVyS8REqPwEwXvsFbc2IBdqyH0fciSBF3XhTTzrVu3cOPGDczNzWF+fh5BGELhjKYBKJzuAg8dRT8CC52wzwPmEXhsBR31NIgkwXEcwZCJJkKLxSKufv01Nre2cPjwYZw9cwZKjOdTZt3buMZRnFFopvTypkQAlaVIpVKx+26ezKNGIspY4gYgaGJjdZNv6QdhGMJxHNTqdYB5lTyvwesNomMQxuDAAZiRDncJXg4kRuEnjiAIUC6XUdrcRD0iViaBhht+fPyYUjVHR3H69Gm64g7DffMaopNwyMTmBDOGNY4HIFbjsixDUxTRDa5arcJ2HCr7YZrwfR+3bt7EnTt3kMlkcPHiRYwMDyOM5kHYJBwGAYrFIgAgXygAPFQTTepGchzRuL/nuqjVaiJZrqsqDMbXj363FaIvod/CG+DCgoNE1DsIw5C2E2Uy3TrrpxGtzM4VCpicnk6MwUuMxCgkALATSy4XizTvEJFl3tzcxLXr12EYBs6cPg2FhZlUTWubhO4WQRiKJKvoMcCkphuYPSxxLckyNNZ+svnYnB2kqipqtRq+vnoVVr2OUydP4lgLnX6+OrdZK1KZsZfCFpMwX9HHfW5ZlqCtAqA1DR2omwA1ClxgL5oriHoSPJQ0CIRhCJtJU4Azv1j+JfB9pDMZOu4whKrrGBodxcjYWMIm+gkgMQoJYuHYNqqlEirFIhzLQrFYxDfffAMvCHDm1Cnoui6okVwLKKr+GZ28oiJ1HKI9ZBPnPmQhJEL/QxvDsD4MvHGPxDqjBU35B4CGxTY3N3H37l0sLy1hdGwMFy5cEBTVZkRbYPLQkZlKQdf1lkaBDbSxbWd0DL6Peq0mpDsURWlZRMjDRq1eQ26AgjBsqHvoJXndDN5PwmPXXmLtSQN2XplMBqqmIVcoYGRsDNmkHeZPColRSNARrm2jXi5jc20NV65cwXaxiLNnziCVSsFlYYcwDCmbqZ+QEiGNzXe4YminbmZNq+owDLGwuIhr336LIAxx7uxZHJqf72o8QRCgxEJHuXyeTpR7CNeIlXitJj4zDAN6RHokaGMMmrGrMU+kDqSrz0GptDZTLuXhLFXTKLuJGZ/x8XGMjI9jaGSkJZsqwcuNxCgk6BpBEKBaKuGXf/7ntODr9GnMzc3RVpcR46DrOq2glqSG2HgDd55N+qIjWDRMxI7V9bg8D0+WlnD37l2sr69jcnISR48dw1Ch0FEDiY+vOXTEx7vXGL4fBKjXanAYO4oQqrQaF/pqeX57HAeX4+Ay1gipcikBFQIksozh0VEcmp9HqovitAQvNxKjkKBnhGGIX/7VX+Grzz/H2PAwjh89igMHDghWEDcOol1lH8noblbRtUoFDx4+xMOHD2HbNkZGRnDixAnkcjnRKKdVEVU0bATsDh3x8+xmMm6VRI6yi2zbRq1ep/tj3o2qKNB0nVKB21wjP8K+6gXCGHAWU0hlPUAIPNeFbprIFgoYm5jA0NDQvlGNE7xYSIxCgr7x+PFjXPntb3H37l3kUymcOHYMs3NzlF8fDSsxz6GXcATve7ALQYCl5WXcv38fqysrUBQFcwcPYn5+HjkW++bJZkVRaBVuVEoi5lhxoSMxhi5X6FFGkvhpivsLyQ3HgcvE+Hhdhq5p0HR9l/fAK6C7RRgENEzkODtKqqzegIDWfaTTaRRGRpDOZpHJZKiGU4IEDIlRSLBnbG1t4dNPP8X1b76BJss4fPAg5g8fhqZplELKJj/ey1mEljogahjqtRoeMq+gXq9jaGgIhw8fxvTMzI5eP0NU7iKfz+9aAfMENf+8XqvBsiwoqipYR+L4vt9IX+Vjo19oNAQ9vEoB64ngsFak/HiqolAJEkWhekdMK6kTPM+DY9uiz0JURwksUZ0vFJAfGkIqk0GGsYsS7yBBMxKjkGBgqNfr+Oqrr/Dl55/Ds23MTU9jdHgYqq5DVRQYpkm9BRbG4IVy0fCS7/uolMu0dqJcRpExoIrlMmRZxuzsLOYPH0Yhn287lu1iEWEQIJvJNBSSNT/uYRiiVCohYCvoaA6C10l0i14NAz9+VLAvOkbOboom4aM9ngPfp42B+Lbcs2HbcFG9/PAwckNDSKfTu84xQYJmJEYhwcDh+z6+++47fPH559hYX0fo+3RCY8qiKdNEivH3DV1HwAqoKtUqavW6WH3ruo4Mm8iGhocxMz0dXykcg1qtBtu2oWkaldFG/IRtWRbq9TokWaZ9ApoUT5uNwse/+hWOHz+OA1NTLY8dG/bqAoHvi9BStOlQVMHUjwjn+UGA0PcBQiAxo5tKpWCwamxFUWCy65fJZPanCj3BS4fEKCTYV4QhbeO4vb2NYrGI7e1tbG5uYnNjA8VSCbVKBSnDQJ6FNLLZLAq5HApDQ6KXQS/UTQ7P91FmIaRWYm5RLyGVTkPXNNy6dQv/7b/9Nzx4+BCbGxv4B//gH+DixYtimz/5v/9v6JqGv/N3/k7b4/drGNjA4DKZbc/z4DBDYTsOgiCAomnQTBMq02fKZLMwTROqqkJm/Rj4j6qq+9L9LcHLi4SInGBfwWWs0+k0pqenG/7GNXd4YxqHdTBzLEsI0ymaBk1VIRHSUBzXCYosQ5Yk+EEAx3Whx4RMHDbJ/smf/An+0T/6RwBoknpubg7vv/8+/uiP/mjXNhdfew3/z5/+aUejILE4fq/gjYYc3vfAdaHoOobyeZjptPACZFmmdQ+6Tms7ktxAggEhMQoJnhl4u0pOAeWxdf7jMANhWRZc26ZhEkKgsElRdClrmhB5olXTddRqNTi2vcso8Jac/Lh8Uj1//jzOnz/fcsxnzp5FcXsbi48fYzbSg6HV+bVURmW0VJ/pOXF5D8/3IcsydNNEPp+HkU6LyZ//JAYgwX4iMQoJnhtwjf90Oi28iGj3Mtdx4Nk26tUq7GqVUj4lSSRiZUWBHPEoOAXW9TxYlgXdMMRkXKlWETBZbi67LairkcY/DUlf0NqCs2fP4quvvxaNeXjNQ5zwXciqrj3XRQCaN/B5Ux3fF/2jc4UCNMOgP4yhxY1AUlmc4GkiedoSPJdo9iJ4Ex3+U9zYQL1Woy0qASAI4HoebN7DOAggSZLoQ2zVashks1BkWXD4iSQhlcmICmqxAmeGgNNBg4hhAIDXLl7EX/3VX+F//p/+px2jEQRCn6jhX5aolphXQyQJkqZBw05V9whre6qqqkgQJ0jwrJA8fQleCBBCxAoaAAqFgqBzckPB1VXFD5PcLpVKsKpVlFk70iAIQAAYpolqrQZD12kLTjR2g8vl83AcB8VicSfRHYaYn5/H2toaVlZWkGGyEBL3VHQdGutHISuKCHU1J3/5T8IISvC8ITEKCV5YcB2huDahXIHV932Mex42NjZQr9fF5M75+mEYYmF1FRMHD+70T2Bsp3sLC5ANA2PT07T7G9NpunnzJhZXV3H41CkhUcE1nJoNAP9J8gAJXhQkRiHBSwk+SXODkclkWvZBqFQqOHDggJDl4D8/Li3BTKcxPTMjPAhCCP7dv/t3eP311zE7O/u0TytBgn1HQmBO8JNBu9U6X+VbloUbN27g+++/h+M4WFhYwI0bN/DkyRNRVfyLX/wCf+tv/a2nOPIECZ4ekuK1BD95fPDBB/j4448BAB9//DE+/PDDXd/5u3/37+I//If/gAcPHuDkyZNYX19v2bgnQYIXGYlRSJCgB/ybf/Nv8N//+3/Hn//5nz/roSRIsC9IwkcJEvSAX/ziF/i93/u9Zz2MBAn2DYmnkCBBggQJBBJPIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCCRGIUGCBAkSCPz/jSr6icYOxLoAAAAASUVORK5CYII=",
            "text/plain": [
              "<Figure size 480x480 with 1 Axes>"
            ]
          },
          "execution_count": 30,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 480x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "circuit = QuantumCircuit(q, c)\n",
        "circuit.x(q[0])\n",
        "circuit.ry(π/2, q[0])\n",
        "\n",
        "# get statevector\n",
        "state = Statevector.from_instruction(circuit)\n",
        "print(state)\n",
        "\n",
        "plot_bloch_multivector(state)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Hcm--im1W3pX"
      },
      "source": [
        "You can verify that the result is $\\frac{1}{\\sqrt{2}}(-|0\\rangle + |1\\rangle)$\n",
        " \n",
        ". That is, the exact same state as before, except that the first term got a minus sign: it is a negative probability amplitude. Note that the difference cannot be observed from the statistics:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 31,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 326
        },
        "id": "7dy88jnxW0_J",
        "outputId": "52d27241-e697-4fa3-feca-eb901fcbed65"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "{0: 0.5107421875, 1: 0.4892578125}\n"
          ]
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "execution_count": 31,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "circuit.measure(q, c)\n",
        "\n",
        "job = sampler.run(circuit)\n",
        "result = job.result()\n",
        "print(result.quasi_dists[0])\n",
        "plot_histogram(result.quasi_dists[0])\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "FjUBZXrmW_gO"
      },
      "source": [
        "It still looks like an approximately unbiased coin. Yet, that negative sign -- or any complex value -- is what models interference, a critically important phenomenon where probability amplitudes can interact in a constructive or a destructive way. To see this, if we apply the rotation twice in a row on $|0⟩$\n",
        ", we get another deterministic output, $|1⟩$ \n",
        ", although in between the two, it was some superposition."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 32,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 323
        },
        "id": "T6g_TXmiW9Sd",
        "outputId": "013b47d0-b3a0-4b4a-e1dc-ba3163a562bc"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "{1: 1.0}\n"
          ]
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "execution_count": 32,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "circuit = QuantumCircuit(q, c)\n",
        "circuit.ry(π/2, q[0])\n",
        "circuit.ry(π/2, q[0])\n",
        "circuit.measure(q, c)\n",
        "\n",
        "job = sampler.run(circuit)\n",
        "result = job.result()\n",
        "print(result.quasi_dists[0])\n",
        "plot_histogram(result.quasi_dists[0])\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "5jtymIQMXIhr"
      },
      "source": [
        "Many quantum algorithms exploit interference, for instance, the seminal Deutsch-Josza algorithm, which is among the simplest to understand its significance."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "_ipjwSnCXKoC"
      },
      "source": [
        "## More Qubits and Entanglement"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "qsIYyBI6XPbW"
      },
      "source": [
        "We have already seen that quantum states are probability distributions normed to 1 in the \n",
        " norm and we got a first peek at interference. If we introduce more qubits, we see another crucial quantum effect emerging. To do that, we first have to define how we write down the column vector for describing two qubits. We use a tensor product, which, in the case of qubits, is equivalent to the Kronecker product. Given two qubits $|\\psi\\rangle=\\begin{bmatrix}a_0\\\\a_1\\end{bmatrix}$ and $|\\psi'\\rangle=\\begin{bmatrix}b_0\\\\b_1\\end{bmatrix}$, their product is $|\\psi\\rangle\\otimes|\\psi'\\rangle=\\begin{bmatrix}a_0b_0\\\\ a_0b_1\\\\ a_1b_0\\\\ a_1b_1\\end{bmatrix}$.\n",
        "\n",
        " -----\n",
        "\n",
        "\n",
        "Imagine that you have two registers $q_0$\n",
        " and $q_1$\n",
        ", each can hold a qubit, and both qubits are in the state $|0⟩$\n",
        ". Then this composite state would be described by according to this product rule as follows:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 33,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "leK1ZOD6XGui",
        "outputId": "36832129-9dcf-4e77-ae0d-648ff5e2e547"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "array([[1],\n",
              "       [0],\n",
              "       [0],\n",
              "       [0]])"
            ]
          },
          "execution_count": 33,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "q0 = np.array([[1], [0]])\n",
        "q1 = np.array([[1], [0]])\n",
        "np.kron(q0, q1)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "J2guziXWXmTQ"
      },
      "source": [
        "This is the $|0\\rangle\\otimes|0\\rangle$\n",
        " state, which we often abbreviate as $|00⟩$\n",
        ". The states $|01⟩, |10⟩$\n",
        "\n",
        ", and $|11⟩$\n",
        " are defined analogously, and the four of them give the canonical basis of the four dimensional complex space, $\\mathbb{C}^2\\otimes\\mathbb{C}^2$\n",
        ".\n",
        "\n",
        "-----\n",
        "\n",
        "\n",
        "Now comes the interesting and counter-intuitive part. In machine learning, we also work with high-dimensional spaces, but we never construct it as a tensor product: it is typically $\\mathbb{R}^d$\n",
        " for some dimension $d$\n",
        ". The interesting part of writing the high-dimensional space as a tensor product is that not all vectors in can be written as a product of vectors in the component space.\n",
        "\n",
        "------\n",
        "\n",
        "Take the following state: $|\\phi^+\\rangle = \\frac{1}{\\sqrt{2}}(|00\\rangle+|11\\rangle)$\n",
        " \n",
        ". This vector is clearly in $\\mathbb{C}^2\\otimes\\mathbb{C}^2$\n",
        ", since it is a linear combination of two of the basis vector in this space. Yet, it cannot be written as $|\\psi\\rangle\\otimes|\\psi'\\rangle$\n",
        " for some $|\\psi'\\rangle\\in\\mathbb{C}^2$.\n",
        "\n",
        "\n",
        " -----\n",
        "\n",
        "\n",
        " To see this, assume that it can be written in this form. Then\n",
        "\n",
        " $$ |\\phi^+\\rangle = \\frac{1}{\\sqrt{2}}(|00\\rangle+|11\\rangle) = \\begin{bmatrix}a_0b_0\\\\ a_0b_1\\\\ a_1b_0\\\\ a_1b_1\\end{bmatrix} = a_0b_0|00\\rangle + a_0b_1|01\\rangle + a_1b_0|10\\rangle + a_1b_1|11\\rangle.$$\n",
        "\n",
        "\n",
        " $|01⟩$ and |10⟩$ do not appear on the left-hand side, so their coefficients must be zero:\n",
        "\n",
        " $a_1b_0=0$ and $ a_0b_1=0$. This leads to a contradiction, since $a_1$\n",
        " cannot be zero ($a_1 b_1 =1$\n",
        "), so $b_0$\n",
        " must be zero, but $a_0 b_0 = 1$\n",
        ". Therefore $|\\phi^{+}⟩$\n",
        " cannot be written as a product.\n",
        "\n",
        "\n",
        "\n",
        "-------\n",
        "\n",
        "States that cannot be written as a product are called entangled states. This is the mathematical form of describing a phenomenon of strong correlations between random variables that exceed what is possible classically. Entanglement plays a central role in countless quantum algorithms. A simple example is quantum teleportation. We will also see its applications in quantum machine learning protocols.\n",
        "\n",
        "-------\n",
        "\n",
        "We will have a closer look at entanglement in a subsequent notebook on measurements, but as a teaser, let us look at the measurement statistics of the $|\\phi^{+}⟩$\n",
        " state. The explanation of the circuit preparing it will also come in a subsequent notebook.\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 36,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 331
        },
        "id": "v4qHGBO5Xixc",
        "outputId": "8c095dfe-2b1a-4fbb-aa03-b14914474dd9"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "{0: 0.48828125, 3: 0.51171875}\n"
          ]
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "execution_count": 36,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "q = QuantumRegister(2)\n",
        "c = ClassicalRegister(2)\n",
        "circuit = QuantumCircuit(q, c)\n",
        "circuit.h(q[0])\n",
        "circuit.cx(q[0], q[1])\n",
        "circuit.measure(q, c)\n",
        "\n",
        "job = sampler.run(circuit)\n",
        "result = job.result()\n",
        "print(result.quasi_dists[0])\n",
        "plot_histogram(result.quasi_dists[0])\n",
        "\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Qj7Jon-cYtRA"
      },
      "source": [
        "Notice that 01 or 10 never appear in the measurement statistics."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "$$|00\\rangle = |0\\rangle$$\n",
        "\n",
        "$$|01\\rangle = |1\\rangle$$\n",
        "\n",
        "$$|10\\rangle = |2\\rangle$$\n",
        "\n",
        "$$|11\\rangle = |3\\rangle$$"
      ]
    }
  ],
  "metadata": {
    "colab": {
      "authorship_tag": "ABX9TyNa9Tew2V4xvDa1ASpZky2P",
      "include_colab_link": true,
      "provenance": []
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.12.2"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}