Copia_di_Quantum_Computing_VERO.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "authorship_tag": "ABX9TyOrFmlyTaRS26BwNgiF0hb8",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/poporubeus/Math-in-Markdown/blob/master/Copia_di_Quantum_Computing_VERO.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "gz4ob_qxPopR",
        "outputId": "6d40b6b6-9a39-4494-f1f3-a3840995ca96"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
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            "Building wheels for collected packages: qiskit, pylatexenc\n",
            "  Building wheel for qiskit (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
            "  Created wheel for qiskit: filename=qiskit-0.39.2-py3-none-any.whl size=12226 sha256=77904c6f96845a768a232881af1d1c2d102384cf0626cd8f696901977acecf0d\n",
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            "  Stored in directory: /root/.cache/pip/wheels/f1/8a/f5/33ee79d4473eb201b519fa40f989b842e373237395a3421f52\n",
            "Successfully built qiskit pylatexenc\n",
            "Installing collected packages: jedi, rustworkx, pbr, tweedledum, symengine, stevedore, shared-memory38, retworkx, ply, ntlm-auth, cryptography, websockets, websocket-client, requests-ntlm, qiskit-terra, qiskit-ibmq-provider, qiskit-aer, qiskit, pylatexenc\n",
            "Successfully installed cryptography-38.0.3 jedi-0.18.1 ntlm-auth-1.5.0 pbr-5.11.0 ply-3.11 pylatexenc-2.10 qiskit-0.39.2 qiskit-aer-0.11.1 qiskit-ibmq-provider-0.19.2 qiskit-terra-0.22.2 requests-ntlm-1.1.0 retworkx-0.12.0 rustworkx-0.12.0 shared-memory38-0.1.2 stevedore-3.5.2 symengine-0.9.2 tweedledum-1.1.1 websocket-client-1.4.2 websockets-10.4\n"
          ]
        }
      ],
      "source": [
        "! pip install qiskit[visualization]"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [],
      "metadata": {
        "id": "L0zZy57-TZgP"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "! pip install numpy scipy matplotlib\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "aYtdzc3NQC5V",
        "outputId": "d16ec08a-f3f1-470c-e782-0f60afc5b422"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n",
            "Requirement already satisfied: numpy in /usr/local/lib/python3.7/dist-packages (1.21.6)\n",
            "Requirement already satisfied: scipy in /usr/local/lib/python3.7/dist-packages (1.7.3)\n",
            "Requirement already satisfied: matplotlib in /usr/local/lib/python3.7/dist-packages (3.2.2)\n",
            "Requirement already satisfied: python-dateutil>=2.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib) (2.8.2)\n",
            "Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib) (3.0.9)\n",
            "Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib) (1.4.4)\n",
            "Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.7/dist-packages (from matplotlib) (0.11.0)\n",
            "Requirement already satisfied: typing-extensions in /usr/local/lib/python3.7/dist-packages (from kiwisolver>=1.0.1->matplotlib) (4.1.1)\n",
            "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.7/dist-packages (from python-dateutil>=2.1->matplotlib) (1.15.0)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "from qiskit import QuantumCircuit\n",
        "from qiskit import Aer, transpile\n",
        "from qiskit.visualization import plot_histogram, plot_bloch_multivector, array_to_latex\n",
        "from qiskit.quantum_info import random_statevector"
      ],
      "metadata": {
        "id": "-opH88TAPpSM"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "#Everything is found on Quantum Computing notes of C. Sanavio on Virtuale"
      ],
      "metadata": {
        "id": "U8gboFiTTbC5"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "circuit = QuantumCircuit(3,2) # circuit with 3 qubits and 2 bits\n",
        "a = np.random.uniform(-1,1)+1j*np.random.uniform(-1,1)\n",
        "b = np.random.uniform(-1,1)+1j*np.random.uniform(-1,1)\n",
        "na = np.abs(a)\n",
        "nb = np.abs(b)\n",
        "a = a/np.sqrt(na**2+nb**2)\n",
        "b = b/np.sqrt(na**2+nb**2)\n",
        "initial_state = [a,b]"
      ],
      "metadata": {
        "id": "JQg7xqorQWdA"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "circuit.initialize(initial_state,0)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Ay-qYAweQYAS",
        "outputId": "1772415b-6743-4a1c-be92-4933e084dd1c"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<qiskit.circuit.instructionset.InstructionSet at 0x7f21d4e3a750>"
            ]
          },
          "metadata": {},
          "execution_count": 7
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "circuit.h(1) #Hadamard gate on qubit 1\n",
        "circuit.cx(1,2) #C-X gate on qubit 2 and control qubit 1\n",
        "circuit.barrier()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "_jMXYyWCQcD9",
        "outputId": "637cbbcb-8e3d-4f19-ef59-7387cf990b8d"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<qiskit.circuit.instructionset.InstructionSet at 0x7f21d4a81090>"
            ]
          },
          "metadata": {},
          "execution_count": 8
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "circuit.draw('mpl')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 231
        },
        "id": "YIAKOgRHQgtb",
        "outputId": "f54222de-eac0-4d73-e6c0-1be15cd8712c"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 387.597x264.88 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {},
          "execution_count": 9
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "This is the Teleportation algorithm"
      ],
      "metadata": {
        "id": "BxDUGk__Qzlr"
      }
    },
    {
      "cell_type": "markdown",
      "source": [],
      "metadata": {
        "id": "GMmPD5wlTYCn"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "circuit.cx(1,0)\n",
        "circuit.h(1) #Hadamard gate\n",
        "circuit.barrier()\n",
        "circuit.draw('mpl')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 231
        },
        "id": "msAIG4GVTsGr",
        "outputId": "12f1288d-9d2d-4805-9d4c-f5922da0245d"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 568.197x264.88 with 1 Axes>"
            ],
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbsAAADWCAYAAABIdCwuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAdd0lEQVR4nO3dfVzV9f3/8ccBETS8IlIUlaWAwilQ6cKsAMualt9qy4vcar/M23SIblnfte++zcqbfd00F25r2ppNt++vH03RmdvMLoE0dNO0UrzA0kSUlLxISQXh8PuDwNAD5xw48HmfD8/77eYt/Zz3eX9e5/Q6PPlcHkdNTU0NIiIiNhZkdQEiIiKtTWEnIiK2p7ATERHbU9iJiIjtKexERMT2FHYiImJ7CjsREbE9hZ2IiNiewk5ERGxPYSciIransBMREdtT2ImIiO0p7ERExPYUdiIiYnsKOxERsT2FnYiI2J7CTkREbE9hJyIitqewExER2+tgdQEiYpY9e/Z4HPPCCy8wY8aMJscMHjzYXyWJQQK1P7RlJyI++/3vf291CWIwE/tDYSciIransBMREdtT2ImIz3JycqwuQQxmYn8o7ERExPYUdiLis3HjxlldghjMxP7QpQdu7H0XzhyzugqxSpeeMOg2q6sQEX9S2Llx5hicKrG6ChER8RftxhQRn2VmZlpdghjMxP5Q2ImIzzzdHUPaNxP7Q2EnIj5LTU21ugSvVVXDF2fg6Jfw5TmoqbG6IvszsT90zE5EfFZWVmZ1CU368ixs+gR2HobSU1DtuvhYeCjERMINA+CavhCsX/n9zsT+0P/mduqNLct5fEm61+OnL0phy943Wq8gET+orIK/fQBz1sD6HVByomHQAZRXQOFhWLYBnl0Lu49YU6u0LYWdeOUm571sKlxrdRliiMTERKtLuMzR0/DcOsjfAy4vd1We/Ar+kAurtoLL5Xm8eMfE/lDYiVdGOO9l8y6FndRatWqV1SU0UHYaXngLys407/kb9kL2v7wPSWmaaf0BCjv52pqNv+M/XxwJwMq8hcz+038A8Jc3n+GZ5d9hYJ9kgoKCKSr5wMoyxRBPPfWU1SXUq6qGl9+DM+cbH7Po+7V/mrJlP2ws8m9t7ZVJ/VFHYScAfHJkO7HRw+r/PjB6aO3fD1/8+03OeykofM2yGsUcK1eutLqEem/sgM+/9M9cf99ee+amtIxJ/VHH6LBzuVwsXLiQuLg4wsLCSE5OJj8/n0GDBjF16lSry7OVfSXbiO3zjYDrMwSAT498WP/3Gwffzb93/9OyGkUudbYS8jx/cbbXLlTDu7v9N5+Yw+iwmzJlCnPnzmXatGm8/vrrTJgwgUmTJrF//35SUlKsLs82LlRVUnxsF7HRQ6m4cI6SL4qIjR7KmbMnOXaqmNivt+yOnTpIz+79La5W5KIt+2sDyp+2HoDzF/w7p1jP2OvssrOzWb58OXl5eaSlpQEwcuRItm3bxurVqxk2bJjFFdrH0ZOfUVV9gT6RsXx65EM6dQynd8TVbNr1d3r1iKFn934AbCpcyy3X3m9xtWKC/Px8q0sAYE+p/+esrIL9xyAx2v9ztxem9Mc3GbtlN2/ePEaPHl0fdHViY2MJCQkhKSkJgM8++4y0tDTi4+O59tpr2bBhgxXlBjSHo7YNjnzxCZ8ert1tWXnhPK+++0u+fd1kAM5VfsWHn+YyPHGslaWKIQoLC60ugZoaOHSideYuaaV52wsT+uNSRm7ZlZSUsHPnTmbNmnXZY8XFxTidTkJDQwGYNm0aEydOZPr06RQUFDB+/HgOHDhAx44dm1yHw+Fo9LGFP8oleWB6i15DIImOjCU9eSKzFt9Cl04RVFVX8vD8OFIGfZvvjfoFAB/sfZPY6KF0uyLS4mpbX35+HtdPGml1GZZx97m7VFZWlsdxWVlZ/irJreCQUGYsa3gKpqczLht7/NFXGv57wW+X8u2lP2xBdfZlWn/UeHn/NyO37EpKar9fJyoqqsHyc+fOkZ+fX78L84svvmDjxo1MmTIFgBEjRtCnTx9yc3PbtmAbePLBV5k/9W2qqitJS57IohkFPD5+KcFBwQBs2rWWEYn3WlylyEWOr3uzVeZ2GPmjUVrAyC27yMjarYeioiLuuuuu+uULFiygtLS0/uSU4uJievXqVb+VB3D11Vdz8OBBj+to6reBra+2z++zG9hnCKfPHmdUykP1x+nq9OoRQ2ryeIsqa1tpaenULGm/Vxfv2eP59MasrCyPZ0Q///zz/irJLVcN/OyvDU9QuXQLrU7dFl1jj18qc9ojvPXSIy0r0KYCpT8uZWTYDRgwgKSkJObNm0dERATR0dHk5OSwbt06AJ2J6QcD+wzhzusebrDs0LE9uFzVxPS6/FY/P7jzmbYpTALCnDlzrC6BIAf06Q4Hj/t/7r4R/p+zPTGhPy5l5LZ6UFAQK1euxOl0kpGRweTJk4mMjCQzM5Pg4OD6k1P69+/P0aNHqaioqH/ugQMHiImJsar0gBEbPYRvX/9wg2XfinKy7lcVdAgOsaYoCRgTJkywugQArr6qdeb9lv0PTbcqU/rjm4wMO4D4+Hhyc3P56quvKC4uZu7cuezYsYPExEQ6deoE1O7uvPnmm3n55ZcBKCgo4PDhw4wc2X5PLhBpCwkJCVaXAMDwWP/PGR8FkV38P297Ykp/fJORuzEbs3XrVoYPH95g2YsvvsjDDz/MokWL6NixI9nZ2R7PxPTWG1uW82ruL3n0/pdIHpjGkrWzKCrZSmz0MDLv/c1l41e9l8WGHatYlLkRoNHxl47zVlPrP/D5ThblTCUoKJg+V8bynxP+hMPh4K2tf+HND/6My1XNz7/3CpHdot0uW71hEWnJE7mya2+v1/v5ic+Y+bsb6d8zgQ7BHZk/9U2Ay+YHB7OXjeXg0V38/dlygoN9aztP7/ul6yv7soQX187C4QhiUL/rybgnq9H3Z/WGRcRFp/DCmpkMTxzL5NHP+lSbWCuqGwzu7d/r7dIG+W8uMYexW3aXKi8vp6io6LKLyQcMGMB7771HUVERO3fuvOy6vJYan/ZTkgemsa9kG+cqysmavoGqqkr2HtrSYFxlVQWfHvmw/t+Njb90nLc8rb/fVYP4zYwCsqbXXmdYVLKVL748zMf783lu2jv8OiOPyG7RbpcBfPfWR90Gnaf1psTdwa8z8uqDzt38XTtHsGDqOyT0H37Z/C193e7W16t7DM9Ne5dFmRs5VX6MA6U73L4/da/72gG3Mv3eRT7XJmYYdz2E+OnEzCH9wdnXP3OJWQIm7MLDw6murmbmzJmWrH938WZS4u8AYFjcKHYd3NTg8fX/fpk7rvs/HsdfOs5f6//mcbaQDqFc1a0fW/e+QbWrmp/+4XZeWDOTale122UA/710TLPW++GnucxafCur3qu9Zsbd/B1DwujSuYfPr9mb9btbX0TXKDqGhAEQHBRCUFCw2/enqdctTUtPT7e6hHqRXWD8DU2PefQVz2diXhleG5zScib1R52ACTurlZ87RefQrgBcEdaN8nOn6h+rqr7AR5/mMTT2tibHuxvnj/XXKShcyw8XXsOpM0fpesWVnCw/SlV1Jc9Ne4fQkM4UFL7mdtmJ05/To0vUZfN5Wm9E194s+1kRC6flsm3f2+w/8rHb+VvC0+tuan37j3zMl1+V1Z9deun709TrlqYtWbLE6hIauGFAy4IqMhym3w7hYf6rqT0zrT8gwI7ZWemKsG6crTgNwFcVpwnv1L3+sbc/+F9uG/o9j+Pdjatz4vTn/M8rDzRYFtEliicffNXj+uuMcN7DCOc9vLBmJpt3/YMrwrqRNKB2t+6Q2NsoKtlKl049Llt2RVg3t5cbeFpvxw6hQO01jsMTxvLZ0Z1u19mUlr7uxtZ3+uwJXlgzg188uKLR96dzWNdGX7c0LSMjw7gfaLfEQ69u8OpmOF7u/fOuHwDfGQadQz2PFe+Y2B/asvNSYsxNbN/3DgDb973d4PjTobK9/H3TEn7+x9EcPFrImo2/czve3bg6EV2j+HVGXoM/dT/wPa0fao8F1ukc2pXQkE4kxoxgf+nHQO1X9fSOuNrtsoNHC4np5aS6uoqTZ456/brPnr/4xV+Fn71P7ysHup2/KS193e7WV11dxa+yH2Tq2IVEdI1q9P2pe93iu7y8PKtLcCuuFzxxN3wnBXp2bXxckAOS+8PMUfD9mxR0/mZif2jLzktxfYcREhLGrMW3MrDPEAb3v4ETpz/n9S0v88O759ePe/T3t3DfLbXHFS8dP7j/DW7HtXT937/9SbbuWU/Ohto7EkRHxpESfydBQUGEhnTi8SXpdLsikvtvnUVIh46XLfv9mpnclHgPn5/8jL/mzuex8X/0ar2xfYby5zdmE9IhlGuuvpWE/jcCXDZ/VfUF/nvpGPaXfsR/Lf02j4yZVz+2pa87NnrIZevL/3glRYe28Md/PgHAlDG/5FT5scven/d3/o2bEu/x+v+BBIbQDpA2GFIHQdkZOHQc/reg9rF7hkJ0D+gXoYBrbxw13t5Fsx2pu13Yex/n8Grur5g29tckD/TvWZ4m+emLt7Fg2jts3LGa8M49mnVMMRDVve4jxz/lV9kPkpo0nvFpj9O9L1z3gOfn25U3t4NKSEhg9+6mv+V08ODB/iqpxepOTvF0o2jxLFD7Q1t2TUhNGkdq0jiry2hV87N/wNC4UTgcDm5Naj/fVffN1x0dGcvvZm62uqSA4ukHmbRvJvaHwq6d+9mkv1hdgiXa6+v2lxUrVhh5Sygxg4n9obBzo0tPqysQK+n/v2dPP/20cT/MxBwm9ofCzo1B7eOQlYhIu6FLD0RExPYUdiLis8WLF1tdghjMxP5Q2ImIz5xOXYwvjTOxPxR2IuIzf3+7iNiLif2hsBMREdtT2ImIiO0p7ETEZ9dfry9+k8aZ2B8KOxHx2ZYtWzwPknbLxP5Q2ImIiO0p7ERExPYUdiLis5ycHKtLEIOZ2B8KOxERsT2FnYj4bNw4e3/Po7SMif2hbz2wqdVb4fDJtl9vdA/47nVtv14RU1n1WQR9Hr9JYWdTh0/Cp8esrkJE9Fk0g3ZjiojPMjMzrS5BDGZifyjsRMRnM2bMsLoEMZiJ/aGwExGfpaamWl2CGMzE/lDYiYjPysrKrC5BDGZifyjsRETE9hR2IuKzxMREq0sQg5nYHwo7EfHZqlWrrC5BDGZifyjsRMRnTz31lNUliMFM7A+jw87lcrFw4ULi4uIICwsjOTmZ/Px8Bg0axNSpU60uT6TZjp2GN3fC2m2QvwfKz1tdkW9WrlxpdQle++bdSwr2wfkL1tXSXpjYH0bfQWXKlCmsXr2a2bNnk5KSQkFBAZMmTaKsrIzHHnvM6vJsJefZdPpfM4ob7vuFV8uleSouwP/bBB8darh87Xa4PRHGJIHDYU1tdlN+Hv68EfYdvbhsxb/hbx/A2CGQNti62pqiz2LrMDbssrOzWb58OXl5eaSlpQEwcuRItm3bxurVqxk2bJjFFYr4xlUDS/Mb/vCtU+2q3dIDuCu5beuyo8oqWPIuHHFzT8oL1bWBFxwEt8S3fW1iDWN3Y86bN4/Ro0fXB12d2NhYQkJCSEpKAmr3DcfHxxMUFGTkdyiJ1Nlb6j7ovuntwsDYpZmfn291CU3afrB292VNE2P++WFtKIr/mdgfRoZdSUkJO3fuZPz48Zc9VlxcjNPpJDQ0FIDRo0ezfv16I6/YF/mmzZ963kXpqoGtn7VJOS1SWFhodQlN2vQJeNobfO4C7Cxpk3LaHRP7w8jdmCUltR0YFRXVYPm5c+fIz89nzJgx9ctGjBjRrHU4bH5g5P4nc+mbkO7Tc/792v/wwbqFDZZdOF9O/2tGeT1Hfn4eP75zpE/rbS8mPrOZqNgbmxzjclXz1LO/YcMrj7dRVZebNWuWxzFZWVkex2VlZfmrJJ9N+e0hwiP6ehz3wxk/Zds/F3oc1xJWfRahdT6PpvVHTU1T2+8XGRl2kZGRABQVFXHXXXfVL1+wYAGlpaWkpKRYVZqt3XDvk24Piot/VJw9hctVTVBQcKNjHI4gKs9+2YZV2VPF2VNc0b0PjqCmd16Z+l7rs+h/RobdgAEDSEpKYt68eURERBAdHU1OTg7r1q0D8EvYefvbQKD63VvWfIdWWlo6Oc/a+71trs2fwKv/anqMw+FgzbI5RK2e0zZFubFnzx6PY7Kysjxe/vP888/7qySfvbkD1n3c9JggBxSse4kuYS+1ai1WfRahdT6PgdofRh6zCwoKYuXKlTidTjIyMpg8eTKRkZFkZmYSHBxcf3KKSCAZ9i3o3rnp43bOaIjq1mYlNducOdaFsTduioVOIU0ftxseC13C2qykdsXE/jByyw4gPj6e3NzcBsseeughEhMT6dSpk0VViTRfxw6QcRssfge+PHdxucMBNTUw4Cp46Gbr6vPFhAkTrC6hSV06wY9ugxdz4VzlxeV17/U1feG7OhrSakzsD0dNAO3PS0hIYPjw4Sxbtqx+2ezZs1m2bBllZWWEh4fTqVMn8vPzGThwoIWVWs+qXScDe8LMO9p+vYGkogq2fQZ//XqX5rV94caBkNgHPBxiahPe7KZKSEhg9+7dTY4ZPNj6q7bPVsKW/fDxodoL+q/qWrvVF9er7S7et3I3Zmt8HgO1P4zdsrtUeXk5RUVFTJ8+vcHyuXPnMnfuXIuqEvFdaIfaH7h1YTclrenx0nydO9beKcXUu6VI2wmYsAsPD6e6utrqMkREJAAZsNNERAJNenq61SWIwUzsD4WdiPhsyZIlVpcgBjOxPxR2IuKzjIwMq0sQg5nYHwo7EfFZXl6e1SWIwUzsD4WdiIjYnsJORERsT2EnIj7zdMGwtG8m9kfAXGcnvonu0b7WK21rxYoVRt4SykRWfiasWreJ/RFQtwsTsZNHX6n976LvW1vHpQL1dlDSNgK1P7QbU0REbE9hJyIitqewExGfLV682OoSxGAm9ofCTkR85nQ6rS5BDGZifyjsRMRnaWn6XiJpnIn9obATERHbU9iJiM+uv/56q0sQg5nYHwo7EfHZli1brC5BDGZifyjsRETE9hR2IiJiewo7EfFZTk6O1SWIwUzsD4WdiIjYnsJORHw2btw4q0sQg5nYHwo7ERGxPYWdiIjYnsJORHyWmZlpdQliMBP7Q2EnIj6bMWOG1SWIwUzsD4WdiAXKz1/8e/FxqKiyrpbmSE1NtboEMZiJ/dHB6gJE2otjp+H9ffBxMZw8e3H58+vBAUR1g+uuhhsHQniYZWV6payszOoSxGAm9ofCTqSVnb8Aa7dDwb7Gx9QApV/C3z+E9Tvg7mRIHQRB2vci4hcKO5FWdPQ0vJQLx8u9f86FalizDQoPw5Q0CAtpvfqaKzEx0eoSxGAm9oejpqamxuoiROyo7Az89k04c97z2MbERML02yC0DQNvz549fpln8ODBfplHzBKo/aGdJCKtoNoFf97QdNAt+n7tn6Yc/AJe2+7f2vzhqaeesroEMZiJ/WF02LlcLhYuXEhcXBxhYWEkJyeTn5/PoEGDmDp1qtXliTTq3V1QctI/cxXsg32f+2cuf1m5cqXVJYjBTOwPo4/ZTZkyhdWrVzN79mxSUlIoKChg0qRJlJWV8dhjj1ldnohblVWQu9u/c75dCHFR/p1TpD0xNuyys7NZvnw5eXl5pKWlATBy5Ei2bdvG6tWrGTZsmMUVirj3YTGcrfTvnHs/h7LTcFVX/84r0l4Yuxtz3rx5jB49uj7o6sTGxhISEkJSUhInT55k7NixxMfHk5yczJ133sknn3xiUcUitYpaaZdj0dHWmbc58vPzrS5BDGZifxgZdiUlJezcuZPx48df9lhxcTFOp5PQ0FAcDgePPvooRUVFfPTRR4wdO5bJkydbULHIRSUnWmfeQ8dbZ97mKCwstLoEMZiJ/WHkbsySkhIAoqIaHqQ4d+4c+fn5jBkzBoDu3bszatSo+sdHjBjBggULvFqHw+HwU7UiDf3oDycJvaJ7/b89nXHZ2OOPvtLw39mr/smkm8a2sDrPZs2a5XFMVlaWx3FZWVn+KkkMYlp/eHv1nJFbdpGRkQAUFRU1WL5gwQJKS0tJSUlx+7xFixZx3333tXp9Ik1qpV+kHA4jP64iAcHIi8pdLhdDhw6ltLSUhQsXEh0dTU5ODuvWraO4uJjNmzdz4403NnjOnDlzeP3113n33Xfp3LmzRZWLwLNr4YsznsfVbdFdugXXmOuuhgdHNL8ub3lz0XBCQgK7dzd9yqkuKrenQO0PI39VDAoKYuXKlTidTjIyMpg8eTKRkZFkZmYSHBxMUlJSg/HPPvss//jHP1i/fr2CTizXt0frzNsvonXmbY45c+ZYXYIYzMT+MPKYHUB8fDy5ubkNlj300EMkJibSqVOn+mVz5sxh3bp1vPXWW3Tv3v3SaUTa3MCetZcf+NuAnv6fs7kmTJhgdQliMBP7w8gtu8Zs3bq1wfG6wsJCnnnmGY4fP056ejpDhgxhyJAhFlYoAinfgpBg/87ZL8KsLbuEhASrSxCDmdgfxm7ZXaq8vJyioiKmT59ev8zpdHp9Jo5IW+kcCsNjYcNe/8050ryfHSIBJWDCLjw8nOrqaqvLEPHK3cmwswROftXyuZzRMDSm5fOItGcBE3YigSQsBH5wMyx+p/b76dzx5izMK8Nh4o2tdjVDs6Wnp1tdghjMxP4w8tIDEbvY9zkszYeKKt+fe1UXyLgNIsL9X1dTAvX7yqRtBGp/BNQJKiKBJi4Knrgb4nr59rwRcfD4mLYPOm9lZGRYXYIYzMT+0G5MkVZ2ZThk3A67j8D7RbC7FNztTwkJhmHfglvizTrz0p28vDyrSxCDmdgfCjuRNhDkqD3RxBkNFRfg8Ek4dhqqXNCxA/TpDr27Q7D2tYi0CoWdSBsLDam9QNyki8RF7E6/R4qIzzzd91DaNxP7Q2EnIj5bsWKF1SWIwUzsD4WdiPjs6aeftroEMZiJ/aGwExER21PYiYiI7SnsRMRnixcvtroEMZiJ/aGwExGfOZ1Oq0sQg5nYHwo7EfFZWlqa1SWIwUzsD4WdiIjYnsJORERsT7cLE5EGvPnqlaefflpf4dNOBWp/6PvsRETE9rQbU0REbE9hJyIitqewExER21PYiYiI7SnsRETE9hR2IiJiewo7Nw4dOsTtt99OQkICTqeTn//851aXJCIiLaCwc6NDhw7Mnz+f3bt3s337djZu3Mhrr71mdVkiItJMuoOKG71796Z3794AdOzYkaFDh1JcXGxxVSIi0lzasvPgxIkTrFmzhjvuuMPqUkREpJkUdk2orKxk3Lhx/OQnPzHuPm8iIuI93RuzEdXV1UycOJH+/fvz/PPPW12OiIi0gMKuEVOmTMHlcvGnP/0Jh8NhdTkiItICCjs33n//fW655RauueYagoODAXjkkUf48Y9/bHFlIiLSHAo7H9XU1GhLT0QkwOgEFR/l/+sjXlnzFlXV1VaXIiIiXgr4sNuxYwf3338/kZGRhIWFERcXx5NPPtkq66qoqOS9f31E5YUqOny9e1NERMwX0BeVf/DBB6SmptKvXz+ee+45YmJiOHDgAAUFBa2yvoJthZw9X8Gom1NaZX4REWkdAX3MLj09nV27drFv3z66devm03P/a/5LrVSViIi0lV/9bKpX4wJ2N+bZs2fZsGEDkyZN8jnoRESkfQnY3ZgnT57E5XLRt2/fZj3f298GoPZY3fwXs+nXpyeTx49p1vpERMQ6ARt2PXr0ICgoiMOHDzfr+c3Zjbl3/yHt/hQRMYjtd2N27tyZ1NRUsrOzOX36tNXliIiIwQL6BJW6szFjYmJ44okniImJobi4mA0bNrB06VK/rCN303beeG8LmQ/dR78+Pf0yp4iItK2A3Y0JkJKSwqZNm5g9ezazZs3i/Pnz9OvXjwceeMAv81dUVLLh3x8zaEA/BZ2ISAAL6C271lZ67Dj/d81bPDD2NoWdiEgAU9h54HK5CAoK2EObIiKCwk5ERNoBbbKIiIjtKexERMT2FHYiImJ7CjsREbE9hZ2IiNiewk5ERGxPYSciIransBMREdtT2ImIiO0p7ERExPYUdiIiYnsKOxERsT2FnYiI2J7CTkREbE9hJyIitqewExER21PYiYiI7SnsRETE9hR2IiJiewo7ERGxPYWdiIjYnsJORERsT2EnIiK2p7ATERHbU9iJiIjtKexERMT2FHYiImJ7/x+NERvDh8lEnAAAAABJRU5ErkJggg==\n"
          },
          "metadata": {},
          "execution_count": 10
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "circuit.measure(0,0)\n",
        "circuit.measure(1,1)\n",
        "circuit.draw('mpl')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 231
        },
        "id": "zhxXW6zPT6b2",
        "outputId": "2172681d-ebe3-423e-8839-0e15bcd30111"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 688.597x264.88 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 12
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "circuit.x(2).c_if(0, 1)\n",
        "circuit.z(2).c_if(1, 1)\n",
        "circuit.draw('mpl')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 231
        },
        "id": "EaiT1qlkUFSP",
        "outputId": "bdc7edd3-edd8-46ae-ded5-10b6319d090b"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 808.997x264.88 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 14
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "sim = Aer.get_backend('aer_simulator')\n",
        "circuit.save_statevector()\n",
        "out_vector = sim.run(circuit).result().get_statevector()\n",
        "plot_bloch_multivector(out_vector)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 268
        },
        "id": "_60EAGz2UKz3",
        "outputId": "f102b3ff-d6ed-45fe-af00-f281c0b2bd41"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 864x288 with 3 Axes>"
            ],
            "image/png": 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XX2Rubu5O/ZnuKYzB+j7QWVtjeXGRfrdLGEWUHAfHtim7Lm61im3bOI6ThSXSFJmm/J0TJ0iThJp6v1Iu5yEHKWUuWEBmhFarjLXbCCGoqRXm0tIS165coVSpcOTIEdrtNpVKBT8ICKOIJI6J1fGSNKXX6/Hdv/or/upb3+LpZ57hmY99bFMurMGwH/B9n+WFBdZWVxkNhziOkz0si0q9juO6OLadh/pTKXnyxAnSOKZeqyGAarmM67qboiGa0XBIqVSi1Wjglkq5clxcXOT82bP0ez0efuQRThw/Tr1eJ0pTQt/PvEZpmqUXSMnI91mYn+ePX3+dI489xvOf+hRT09Mf7B/LYLjDxHHM6vIyK8vLeIMBMk0plUpYlkVN5Zratp05YdKUOE158sQJkjim1WySpCm1SoVyqZQvLItym8Qxw+GQsXabmpJv13FYunmTi+fPs3DjBgcPHuRnnnySZquFsCxGo1Emr0qnIyVRFHFzeZn/5atfZWJqiueef54jjz1mnEM/BUK7w3fhlm8aNvB9n97aGgvXrzPo93PhqddqlEolXNfFdhwslX+aqodUqz2AMI6z0KHy6lTKZWrVKkLf4EIQRRGdbpdapUK1WiVNEk6fOcP5CxcYGxvj8ePHabXbeYgkjuNM0apUAlAhFJXDEyUJ62trXF9YQErJU08/zYMPPcTUzAxVZTwbNnG39zExMvsuSJKEXqfD8o0brNy8CUC5XKZRq1Epl3EdB9t1sSxrw1BV8ipRntM0ZRQEjEYjJGDbNs1aDadouKYpa3rEoxrjuHD9OidPnyaKY44eOcL999+PJFPEcRSRqFw62EgBytMUkoThaMT1a9dY73Q4duwYR0+cYGZ2lkajgeu6ptXOZu72P4aR13dBmqYMPY/1mzdZuHaNKIpwXJdGrUatWsV1XRzXzfSVkpc0SUikBCk3vKRhyND3iZX3tV6tUqlUMs8q5Lnmo9GIdruNbdv0+31Ovf02N5aXeeiBBzh69CiO6+b6NVELSn0sgCRNSbSOjSJu3LjBjaUlpqameOrpp5k9eJDx8fHc0DZsYleZNQbrT0EYhgz6/SyEOBhkYQApaTebtJpNXHVTR+rG1qGIPFxoWViWtaFg1HcRJwm+7+MHAUIImvV6nr/mjUZ4nsdYu02/3+eHP/whrXab+++/n0h5fGzLAiGwHQfXtrHVilMLZZqmWAWllqYpfhhy5swZri0s8NiRI9TqdZpjY8zMzjI9PW1CkBsYBbhHSZKE4XBId22NYa/HaDhk5PtUKhWmJiYol0pZrrnKN0+SJFssSgmWhQBsJbMIgdRGpZKf4WhEmqbUqtVMXtTCcG19nVqthuM4vPHjH7Pe6XD02DEkUFY5cgiBZVk4rpsZy+o4srDQLBKEIYvLy7zx4x/zwEMPMTkxQa3ZZHJ6mpmZGcbGxozhmnG3/xGMvO6CVLnfPZ1W53kMhkMc22ZyYoJ6tQqwSccKy8pSdFQOuWVZma5T3lZLvR6pPPEoSXAdh2ajkaf0rK6vI4BWq8WlS5c4ffo0Dz/yCK12mzRNadRq+aLVdd08ImPrxW128ptuvDiO6Xser73+Orbj8PChQ5RrNcYnJvKcV92FwGAM1vcMKSWj0Yhep4PX6xH7PqmUdPt9wiiiUiphWxZxmpLEca40dJgAtdJLlacGQEiJsG0sISiVSpRLJaqVCpZlMRwOSdKUaqVCpVKh2+uRpinLS0u8c/Ysjx05wsz0NHGa4gcBY+029UplIyRC9iVKAHVM7XHNC0MAkaYIy+L8+fOcPnOGp59+Gsu28YOAar3OzMwM07OztFROzz7mbr94I7NbCMOQvlpYhsMhpGmWF+r7WEJQqVRIooi4OJ5Rezl1UUaakqi3hDJgLcB1XcrlMuVSiXK5zGg0IopjbNum1WjghyF9FbZ87bXXmJiY4JFHHsG2bbzhkGqlQrvV2lB4sGlhiRAgZZY6pDqCaI8RUtLr9fjrV17h0cOHmZyeZjgc4pRKjE1OcuDAASYmJvZ7lMTI6x4jSRI8z6Ozvo7f75MqL2VXdcXRkcU0TUmkzJvJJzpnFTKZ0baNkhshBLaS90q5TEktUEe+D8oxZFsWq+vrOLbNqVOn6Hsej584QbVaxQ8CpJRMjY/jlko4Wl61TmfjZktUlxAB2WI3TUkBmSR899VXEZbF8RMnGPo+Ukqa7TZzBw8yNTVl0vKMwfrTk6Ypg8GAfqeD1+8zHAyyYoooYjgcZp6VWo2KKoJybBvHtjPPpjIcdRgxVTmnOjdNG7NxkhBEUXazqxvcFiLrFiAE1XKZ4XDI+QsXiOOYJx5/nHqtRkXl46z3etQqFWpq5bkJdWyNTgvY/JHsPrl8+TJvv/02n/rkJ6lWq/Q8j4HnUa5UmJicZE6FM/ap4Xq3X7SRWTYWlv1ul0G/z6DTycLqUcTI9wnDEMd1adZquK6LVZBXHVYUlpUvLOM4zvPNdQucJE2JoogoivKQoCUElhDESYKrFq/zly+zeOMGR48eZWZ6mnK5TKVSYaQWo+Pt9o7XoD01+nq00VpEWBaDfp+XX3mFx44c4dChQ5kXud9HWBatsTFmDxxgdnZ2vxquRl73CGEY0uv1GHS7eL0eoe+TSEkQBIyGQyzLol6rUS6XsS0rz1V1HCcvmEpVWD5RDiOtb7XMRlFEGIYbryl5lWmK5TiUSiVWV1Y4d+4cszMzPHz4MJVSiWq5TAp5dNPZQZa0Myj/v8qf3fa5NOX7P/whaRzz7HPPZcZ4r0cQhtSaTWbn5pidnd1xJOw+wRisf1uklAwGA9bW1lhZWMD3fWSaZjmpqj8bUjI+Nkaj0di2fVowSDcJVdHDCvlqLJWSMIqylADfZzQaZW2pRiOWV1e5fuMGUxMTPPrww7QaDUqFxPG+52EJQV2F7y11fnkY07Kyf6vwo+45txOXLl7k4vw8n3nhhTw0OfA8uv0+5WqVuYMHOXjwINWdjON7G6MA73J0d46bN27Q73ZJ4xjHcbBU4WMUxzTqdSbGx7flj2nPZpqmG3ltkLeY019+8XczUXmlwWjEKAwJRiM836fb7zN/+TKWZXH0yBGmJiepVCp5Oo7v+/hhSLvZRCjFaSl5tW079+LaloWlir62LjI1nufx0ksv8fwnP8n42BiQNT3v9vvEacrU7Cz333//fkwVuNsvdt/LaxzH9Pt9lhYX6a6uEgVBlh5j21kho5Q4qg9qaUtrNwn5QrJYmCx1RIKN3FQg7wIwGo0Y+j6B0rN+END3POavXqXveRx+6CEO3ncfjcLAgCRJ6HsetWqVksoVt7ROVTJqQfasPLqJ7i6yReZkmvLyK68wPT3NsWPHEEIQKy/ycDSiNTHBffffz/T09H5MFTAG60+KvqlXVlZYunGDQbdLtVSiogqpqsqr2en1cFQOjA4PFP/ausBq074LoflIhTu0VzUpKEqtWOIoYvnmTd555x2iNOXokSNZgrllUa3VssTxapWB8vq2W61c8cZJsjF0ILswUPu2bBuZptiOQ0mtVoufeeW732V8fDwTKMg9xd1ej6HvM6l6uurk8X2CUYB3KWEY0ul0WFxcZG15mZJlUVaFi7VKhVq9zsDziOM4a1ej8lKLyiyVMg8tavQAAG0wpnFMqCIkie65qpSSIJN5bzDg5OnTCMui2+1y4vhxbJWvWq/XqVUqeR5du9nEtu18cZsob24xTxYyRah/E1zXxVX/11/4/KVLXLh4kRdeeCFXpgIY+T5rvR7NVoupmRmmp6c3Tdq6x7nbL3LfymuappmhurTE0o0byDDMU9/q1SrVWg2p0nd08fKmNlTsHCnU+4Zs4E5UKI7KoxQ6L115WoMo4tLFiywvLxPGMUcee4yyyk+tq7aQlmWx3u1SrVSoViq5l7a436L+1EZrKmW2r1Ip8+aq90fDId/69rd5/vnns77oqn1lnKasrK7ilkpMqRqSfdY33RisPwm6RdTi4iLDwYCyZTHeatFstShrw0xKOr0ecZIwdoubKVITcfQ2cZIQBEFe8Zu9LHGVB0iv1nQerB8EdNbXefvttzl+/Dg//vGP+dkXX8wGAZAVX6RSYlsWwrZxHYe5mZnM4NXhRDYEW4c2dfeASFUmQyZgOoncdV380YhvfetbPP/JT9JSFc6QGbtBEND1POqtFhMTE0xMTNBUnqJ7nLv9AvedzEopWV9fZ2FhgfX1dZwkoVmvMzE2llUAK9kcjUYMh0NqKqy4E3qBKVWeaJqmBGGYh/41xeiF9oACeZePN954g3a7zZFHH+X/+9a3+MQnPpEZo1GU/SaofPVUSmanpykpT5K+ubQyLBrGulNAGIbA5qIPV3U0ePnll5mYnOTY0aObrisFOt0uTqnE+OQkY2Nj+yW/1cjrXYjv+1y9epWVmzdJo4hqqcTE2Bj1ej0Pt8dxTLfXw7Jt2s3mjvvRC0wtr1JFKKMwJNKTrBSu42x4QoXAtm3CKCIIAi5eusTaygof/vCH+au//ms+/alPEQYBiUojSNKUsuuSSkm71cr1YVHHageR1rHamA3CMF94Oo6D6zh52uDFS5e4dOkSn/70pzfZEAIYeB5hktAaG2N8cpKJiYn9kt+6q8zuO1/z7VhbW2N+fj73qB6cmKChQu9AXvAwCgLSJKFere5qrOriqigM80pGXfBkW1bWPqdUyjwlhX3oauY4jun1epw6eZKPPfMMZdV+o9Vug2Uh05SJiQlCNUKuNxiwFgREUcTE+HieGgBkBSLKKBYbJ0gqJUEYEqpzDMKQIAiATLiOHD3K66+9xmc+85nM46O2K5VKjNs2/cGA64MBQ8/Lva37MIRhuEOMRiMuXbrE6soKrpRMNRq0x8aoqh/2fPpUkjAajXBUkdRWJJmMJNojowxUnQNnCZH1US6V8ty5XEmmKSM1ySpOEv7mzTeZnZ3l4YcfzvYrBK1mkyAMKTWbWJaV5cMPh/RVC52piYmsr7LOdwcc285TAdTF5INDwijKJ/toA9aybY4fP86r3/0uBw8cyCMtqGtrN5sMRyOWrl+n1+0SRRHjaqSzwfBBIKXk6tWrXL92jSQMaVYqjM/O0qjXN+lAAG84RADNW+Ry6ilXkZKHuDAh0nWcTMeqRZ1GkDl6PFV7cnl+nt76Os899xxJkmABY+02g8EAYVmUXZeh6s4zGAzoDQZMBwET7TalUimXMe1syo+lPK5xkhAWFr0j3wffRwjBzMwMV69e5ey5cxw7dmwjZ51sGIEdBHRu3qTf7xP6PuOTk/u68NlYFoooijh37hwri4u4lsWByUkmJyY23Rh5k2EpGY5G2La9s/JTRmAQBLnxZ9l2ZpyqIQK6anHrdjp3VVgWw9GIt95+m48/+yytVouh8qralkWr2aTf7+P7Po16nVarRcvzuLm6ikxTlm/exHXdbNVaqyFVuNKikH+nKo0d28auVvOQaFRQhtNTU1y/do2Tp0/zyOHDm5otO7ZNu9Wi1++ztLBAr9PhwMGDTM/OmjZYhvedq1evMn/xIiJJGG+3mRof35BHZUzqR1/1Si0u4rSRqtvchEHAKAjy3siu6+aeS7sQjtfyYwmRj1HVxutbb77Jgbk5Tjz+ON1ul1K5jBCCer2OEALf9ymXy0zPzDAZxywsLeUL016/z1i7neW0FgxX3Q5Pdyyw1GJXlssIyA3sMI6xbJuHHn6Y1370Iz72sY9lk/CUArUtK5t4J0Te5WT24EFmZmf3Y26r4QOm1+tx+tQpfM+jUa0yNTdHq9HI9ZC++4QQ+EFAEsfUarVtDiFBZgQGYchoNMpTeBzHoaJyTouTIoGNDj1pSm8wIEkSbMdhfn6ebrfLpz/96SxaqWSt5Lo0Gw36gwFBFOURierqajYp0ve56nk06nXGteFacOioC8lS6YCSaldHrZZFOJXxGsUxR44c4YevvcbU9DStZjPLjyX7XaqoArNOr8fFc+eY7HSYPXCAqf2Z22oMVsgKFk6+9RaB5zE9Ps7c7OymXBPYMFYRIlshSbnJKBOqqb/2VkImQA01KUeH3rbms+obU6YpfTVetVyp4A0GvPHGGzz38Y8zOTnJcDRCJqrvI1lIstVs0uv3GXgejUaDspqmU6/V8MOQbrfL0s2blFyXifHxbDjILDYAACAASURBVAiBEiodythaTGIpYS2rlWMSx5w4fpwfvfkmBw4exPf9rPVWuYyrQiuNej0ztodDrszPM+j1OPToo/u5ytHwPhLHMWfPnuXmjRu0qlUOPPAA1Uplc452QcnFSUIUhlSU8ajzVtMkYRSGebsaXbBoWxZ2QeEVm/hbygCWZPPD/SDIFq6uyyuvvMKB++7jxPHjWcoN2aJOn1NVLQpHvo8AarUazUYjb0HX6XbpdDp0Oh3Gx8ZoNZtZuzvVykr/Tmi0zLpKQVfUudZqNS5fvsza2hr1eh1X5c666pqqtVpe8bx47RqDbpcHHnqI6dlZY7Qa3heuX7/OhXPncIFD992X5ZCTpeDoIsTiveerVlM6sqn1ZBiGBCoaCNmwD53Kphenm7rhkC1KEYIwjjOvKZn38syZM3Q7HT75yU/iOg6D4ZCS4+Sy5hSM1v5gkOlWFVFt1ut0+336g0GufyfHxnAch0T1fJXKQN7af92xLJxymXK5jASajQb3HTzIlStXOHToUL4gLZVK2ELguC4t5RhaV2Noh8MhDzz4YN6ffb+w7w3WxcVFLpw7hxXHPPzAA4yp5sDFCVRFtBfUVg35UW03fDXDGMhvNsdx8pY4auM8vJgbqur93mCAkJJ6vU4cx/zgBz/gox/5CJOTk9mq8J+fwX/5PDwJS7/5Z4x98QWcuTb1RoOBEhxtIEohaDYaNJSw9bpdbiwvU3JdxicmqKpG5Xny+RbywQZk03vmDhygfPo0/nBIe3w8+9EIglwROo5Ds17Pc3bW19bw/uZvOHL0KOMTE+/9l2bYtwwGA8688w7DbpeZ8XEeuO8+YiWraRzvmJ7j+z6QKTehFFfg+3l+uVvwzOjK3rw7gE4JUBX7kCnZgecRJwmVUolKtcr3Xn2ViclJjh87lkdYpJTYjpNPmUulzHq+SsnQ97O8V9Wto1avM1etMhqN6HQ6rK2vs97tMjY2lhd8CLnRPzmVmxuT63/rVKMjhw+zvLDAiSefJAgCBp63oQjL5czATxL8IMAfjTh/5gwj3+eBBx/cT8UdhveZOI65cOECy9evUy+XOaSNLNUGzi5McdToCJ8uDExU3Yevo5WWlVXql0pYtp3nsBaRQmAVwusj32fk+zhC0Gg2uXL5MjcWF3nxhRdwHCcrplQFyFpepZTYtp0VayrDVOt04ThMTkzQajYzw1U5jpqNBmNqQpaOWOouO1vR3lfLcTh27BgvvfQSJ44fJ4oihqMRI+Uc0pP3GvU6/cGAKI5ZuHKF0XDIkaNH91PB8/41WOM45vLlyyxeu0bJsjj08MNUKpWN8aVbqv2BfLRbKiXlUgnP8zZ5U6uVStZmSk/HEQKhQu6JUny6rYYstLYZDYdYtk1TJZa//PLLHDt6lJnZWQCSXsDgu+cp6WLIKKH7P77C1Jf/HpZl0Wg06A0GjDxvU8NxAbQaDZr1Or1ej65qHeIoj2seUlDGq87H25oGIYAjR44wPz/Pc/fdR7VSyVMeBp6HZduUHId6vY7nedm0oDDk1FtvcfjIEeYOHnzvv0DDvmN5eZlL58+TBgEPqKb4+VQbpRi2ooumHMfJF1ra6NPymhceqdCkbdtESZJ5SYoyi2rBMxgAWXpBuVTi1KlTxEnChz70odz7qs+n6OnVnqRatUocx3iqt2SurKXMKpDn5hhqw3VtjbX1dcbbbWr1en7uenDATgjgkcOH+Yu/+Av+jhC0m02iOMYPgg1FqEZZusq4LpVKXL54kZHn8djx48ZoNfzUDAYDLl64QG91lclWi/vvu28jrQbY6Q6TUmYRDzLd0+v3c4ePHqqz1atoW1ZepV8cQZ6SRSQGgwFxklAulajVaqx3Opw8eZJPv/ACbqm0qdNAsQhRy3LJdanVagw9L/OWSolQOtx2HCbHx2k1m3Q6HQaDAd1ej0a9Trvd3uhConXsLn+rVrPJxMQES0tLPPTQQ3lxttazrkopaNRqDNTvxvrKCm96Ho8/8QS1HVpq3ovsS4N1MBhweX6ewfo6rWqVg3NzlMvlbDWEMlYLykBPmBFko1H1CEYhRD7lxnbdjW22PpMpq7RgCErtpYnjrPVOrYYAfvDaa7RaLR599NH82P1vvp3toziIp+MTXVml9OAktm1Tr9UYDAYEQbB5NjKZ4LXb7dywXe90uHr9Oo1Gg/F2e2MiViE9IFeMah/3338/b7/1FoN+n2azmbUfKZeJoghf5f6lupKSzFCwbZuzp08ThiEPHjr0035thn1KHMdcvXqVtaUl7CThvvvuY2xsLJNLZUimWxZaWuH5QZBNf1Jhc9dxqFUqWR55IVyfbVSQV8vKGvcXwoubFpcqlH/9+nWuXL7Miy++uGHkSUkSxzs3F1dy1Ww06PX7DIfDLFUBNhU11qpVatUq3nDI+vo6SysrOJ1O1otySwEJeoHMhqe1XCpx/333cenSJY4eO0a5VKJUKmWFlUFAEEWkaiylY9vEUUSpVGJ5cZEwDDl24gSlXTopGAy3Y2lpiRvXruEPBsxOTTEzPZ3p0C2paJpilf9AGYaQyWG1Ws3Tedi6UCukAMkkyR1FUFhcSpkPHPB9n++9+ipPP/NM7iASZKlvwLauGVqeKuUySRwzGA7zVliOXmzKrMvP9NQU7VaLbq9Hp99nvddjamJiU958ttONBWrxN+vIkSO89dZbmRfacXAsa5NzKIyiLB/WcYjjGMd1CUYj3vjRj3jiySdpqf7L9zL7bhnd7Xa5cO4cYb/PeKvF7PR03ioi/2MUctZATahKErq9HuudDrZlUavVGFcFTTo1YCd002LdCBkyQer0esQqqVwXZJw7fx6v3+dnfuZn8ps69Xy8v7kOgL2lx//wL8/k/y65LtVqNfOkqBCoYHNfWFsVSc3MzNBU3tCFxcX88/nlF35UEmUQ2MoLff7ChXzflmVlebPNJu1mE9e2s1BokmTVlqpq8sqlS5w9dYpIeaMNhndLGIacO3uWztISFdWyrd1uZz/2OhpS+OEvDuMYjUYsr6zkctZWwz1cx8mV57YoinrYQuCowkjtpRmNRpTKZVqtFrZt0+v1eOPHP+bjH/845S3tZhK1YNuKPk8dGRHAUBVt6fMuhkdr1Sozs7NMjo+TJgk3lpbo9fubz1f3gFTyqnsuH370US5durTJmHVVJGSs1aJaqRCqHtBxkmRGa7lMZ22Nk2++Sb/X+0m/LoOBK1eucOPqVUQUMTs5yfTkZNZ2segE0s8FgzOOY5Zv3sTzPMrlch5eL1cq2aIs22Db8XQ01NGFkSptr9/r5R06yuUyaZry6ve/zyOPPMKBAwfy40shMnndoRC6eLxarYZj29n4ZeWR1TpWy6xbKjE+Ps7M1BRl12V1dTX7DUo36k+0rOqFdqpkdnZmBiklK6uruTFr2zY1Nb65UatlXYfimDhNCaOIcqVCHEWceustbly79lN9b3uBfWWwDgYDLl+8iKt6pzbqdeqqYKh4Y2q7UN+8I99nvdtlMBhQct2Neb/WxuzvndIHisoz33eS0FeJ361mk4ryYiwtL3Pu3Dme/fjH81C9lBLvpfMkabb6E1sM1vCdRcIrq/n/9TCD4Wi0qWek9tzEypB01dSQmakpLGDx5k1W19d3LAjT4dAkTTn00ENcvXJlc5sd9RnXdWk2m3lVpx8E9Pp9Kspzvba6yoUzZ/KuCQbD7YjjmIvnzxMNBow1GjSbTZrNZhZa3xIBKUYTwiii0+3SU6H7ycnJ7L5UimXrcI98P4XcbbUzkBJvMCCKImrVapZPqo7x6quv8qEPfYix8fFN57JTeHHTcdS5O7ZNvV4nSVNGo1H+vj5+rFpsISXNZpMDc3PUXJdOt8vC4iJhscfzlm3TNKXZbFKpVllaWtr2Gb3objYaWV6eatCuUyIG/T6Xzp6ls7a24zUYDDtx/do11peWqJdKjLXbNFutPGdVUzQ5hWVlE6T6/Xw8abPdZmxsDMd189QBsZOhqh7FhaeAfEJkSRUraX36xhtvUCuXOX7s2Kb9CLJ2djtW3W9Jj2upXuNev7/JS6zTEXQubLlUYm52lnarhe/7XF9YyLv87Lb/VEoefOghLs/PFy5yoyNJpVymrXrBCyEYDocMBwMqlQphGLJw7RpX5+d3zJe9V9g3ButwOGT+/HmcJGFyYgLHtmnoIqUtwqQVoB8ErHe7DIfDLH+mUqGuQoHAjh4avY9iSwtNGAT0BwNc22a83c4EWQi8wYDXfvhDPvaxj23qPJB6Pv6rF0gtsBPYSc0Ov/nOpvOvVqvYQuANh9lYOJk1Vk4L00C0IV6r1TgwN0frFt5WjSUENTXxY+Xmzby5+sZFZyvCkvK4tppNoihivdPJFLxqQXLxnXd2FlyDoUCaplw8f55gMGBqYgLbcaipnopb5VUboXGS0Ov16CsPZLlUol6rZSkyO8hjcR9bFR9kYcJ+v08KtFutvMtGmqb84Pvf5+DBgzzw4IMb+1HnldzGYC16ccqqQFP3cdXyqo3e4mdd12V2bo6JsbEdva3bjiEEB+bmuLG4mMur3PIZx3WzCEmrBVKytr6epQQBQRBw5eJF1m7e3PEYBkORhevXWbtxg1atRq1azes6ivec1q+6cNDzPLq9HqHy7tfU5Mad9GeRbYtLsnvWG40IwpBatUpTp7sJwaWLF1lbXeWZZ57ZZCQiNsan2u+iTZRt29RqNZIkwRsM8tGweaE2m6Mo4+PjzM3MUHYcbq6ucnN1Nfe2bkUoeV1cWsqmUxbGt2t0ikRbObsGwyFDtdgNgoD1lRWuXLy4zfl0r7AvDFbf95k/dw6iiANzc4Qq/8NxnI2iCsgVXxrHdLtdBp6XraqUsoJMaeyq+HbxqkJ2M/X6fRzLyrxEKnwhpOS111/n2NGjTE5N5eECAO+lc8gwIbHB2mXRFJ5ZIrq6lh/fsixK5TJJmtLpdkkLFZRFYdLYjsPU1BTTk5O5t3V9B2+rZnZujsXFxfx4eu66VPm/gqznbKNeZ3xsjERN69JThuI4Zv7sWYaet/MFGfY92lj1ez1mJyfzEYeVajWPhhQ9qlJKBoMBnW6XOEmoq4IH7S209QjWHdhJ8UGmhHq9HqmUWRqBWlwKIbioFMITTzyRK2CNEIIkjvNJOjseUz+r7fS+u/0+URTlv0l5Ss+WAqhWq7Xhbe10bultPXDgAMvKwyqlzNvs5LPW1bHKpVI+t3wwHGYFlWpheXV+nptK5g2GnVhaXGR1YYFqpcKYWlDVVBs33YpN6ggH5N0wdCX8WLudt4BzS6UdPapQSPnZsriUgFeo4dA1IZbyhp48eZJnn3su1/lA/luSLzBvMQComLogLAu3VMIPAjzPy65vi44t6tlKpcLc3BxjrRaj0YiFGzd2ddroiEdXLUS1vBaNV4usyFsPBxoNhwSqH3QURfQ6HS6fP79txPS9wD1vsPq+z4WzZ5FhyH0qb4U0pVpQfinkuS99z6Pb7yOBhsqhcRwnz78s7dL3bDevKmSeWt0So6Em3WguXLiAbds8+uijmwzKpD9i9MoFYpkiE4mI1bmmKWmiHwlJmjD4+ql8HJxUSefVSoVUGYtFdjJaIetLd2BujqZqnbGgii+2Mjc3x/IOHhedNpAq4bXUPhv1ej4BpNvrEQQBSZoyf/78Rrsvg0GRpinzFy8y7HSYUlPm8h6qqj2MTsPRPZE7nQ5BGFKtVhlrt/NuH3GS7NryZTevKkCsjdU0palyXjX9fp8z77zDR555JjOk2fjt0MZrpPK3pZSgctS00tP/jpUXVf+/WqlkynWLIhOFR5Hc2zo+ThrH3FhayrsXFBkbGyNN00yxbo0kpWnevQSy37Z2q0VJFagNh0M6vR5CCBavX6e7vn67r8+wD1ldXWX52jUqpRJzMzP54Bs9ehjIdWMSx6z3eniqEHJMFQNbtk0Yhli2nRUz/QRIsnQ/3/epqmLF/L005bUf/YjHn3iCphpSkHfyUJ+JlVNHT68ryqv+vUmUzOqWd3oQwMj3SXZIpbO2LFaL3taSbXNzbY2bq6vbHUNCMDc3x9KNG9uvU7WNTPUxVC/2Wr2Oa9tEUcRap0OcJPR7Pa5fufIT/R33Ave0wRqGIZcuXCANAuZUJ4AojsGycB0nb/9kkeXLrXe7BEFArVbLFF+hSjaK4zyxeyu7eWmAfBXmOk7mWS0I42Aw4PTp0zz11FPbcmW8l84h4wTpCLAEthRIXVwo9CNTZcHZJULlZdU5p2UVPt1RoHZpi2OrSsfpqSkEcOPmzW0rwcnJSUajEWEYbttHoou10pREGQK1Wi3vZWdZFr1+n9FwSBLHXL14cYe/mGE/c+3aNXrr60yOjzPWbueLGrdUytJadDgR6A8GmeJzXcbabeq1Wq6MdA63u0OYb7coCJD/2Eug0WxuymuTacrrP/oRx0+coLZlKEaxDV6aJLnCktqY1V4a9ShO4QLVW7JWI4lj/C0Lxa2FWEVarRYHDhyg6rqsr6+zuoNROTs7y/LycmZEFzspFDxNWknXVD/ashoO4o9GWdV2knD98mX8Qq6twdDpdLg+P0/ZtjkwN4eliqf0QlFC3sVi5Pt0+32ElFnamCpe1MVHuy0wN6Wx7PBev98nCEPqtVo+kllz4cIFbMvikYcf3vR6cRGYqgVm7sjZYrAWCzz1tqmUebH01kWm3sdOEqu9re1mk9FoxA016a7I3Nwcy8vLeVpPLqf5rjecQyXXpaQGEzXqdaI4zntEd1ZXWb3H0nnuaYP1yuXLRMMhB2Zn8xs5Vu1mikIwCoLMBS8l7WYzb0NR/EwYRTi7CNNuuay+7+fGaqPR2OzZlJLXX3+d48ePb58IlaaMvpcZc6naxLpNSor/3Uvqg1YucFqB7yhQsNEvdgv1ep252VnKjsPy6irdQrWwnn+sCzmEyhHS7XiKSKnGvto2aZJQVe2EtMe51+vti8pGw7vj5s2brC8tMdFsMq5atOiJUbYqcEQIIpWyE0YR9WqVsVYLqyDTgkxegW2FFLc1VlV0pdVsblucXrx4ESElhx95ZPvGOn9VRTl2Wtju9PmiktTTqEaj0Y5em93SGlzXzTp/NBp4gwFLKsdcMzs7y6KSV522o71Gm08p8yaVymViVThSKpWyohjPy3JaL126Z/PjDD8Zvu9z+dIlypbFgQMHsFQBFer+z9Pt1BRHbzjEdRzaY2PZJEW50ToxjmOklNt6rN6qfEgbq2EUUa/Xt3Xq2M0htHW/SZLsmg6QU3QoqWfLtqlVqyRxTLB1kVko8NxaBGVZFhPj40xPTCCThIWlpU3bT09P0+12iZWTbOvEvSKplNmYZhVZrVUqILPWYGEYsnjtGt4OkZe9yj1rsK6srGRhRTWSFLIvVxusOoTX7/c3CZLOJ4NCta4SpmI6wK0UH2SdBQbDIW6pREP1eyty4eJFpJQ8soPyS/oBMshWXakFQu5+HE265m0+Hyl3FajivoQ2BLbgui6z09PUq1W63S6ra2u5wMzNzuZ5rHp/OhVgJ8qlUt6+w9Htt6KIwWDA0sKCqUQ25FWuNddlanIyfz2K42xqjBBYQjAajfJCo1ajkaX2wEZRlZLdMIp2VX47GqtxTE8tzFqtVqbACkrK8zxOnTrFU08/vau3E8iLG7eGBLex5TdGh06112ZrZKOoAHfCsiwmJyeZGB8nCAIWFhdzz83szAyrKysbCk95fXe7inKpBFJmUSXl+QUYeB79Xo+rxSpmw77l2pUrWHHM3Oxsnq8d6QWmWijmi8s4pl6t0tJdPrZE5+IdFpi3ktdUSnqqWKtRr2/0Ms43voVDSL2vSdL0tvJaXDDq1CQgn/Q4HI22LQDZ4fNF6o0Gs7OzOEKwWIhm2rbN5OQky8vL2fZK5ner/reVUyiJYxCCSqWCq85p4HlcPn9+x/S+vcg9abCGYcjNa9eoqFDhpqIjshsoiqIdBUnfEnahqbg2WPN2U7c5vh8EeMMh5XKZhlJARYaex6mTJ3nqqae2FVQAWK0K7gNZq5zU2r3gqkjpxIE81Fg8R+212SpQxTPa2iZIo1MEms0mnuexfPMmcZoyOTVFp9PJP5eHTXZZpeo5z1EUZUn1rpv3lOt7HvPnztHrdm9/kYZ7lqvz89hJwszMTP6aHmNsKS9Fr9/HG40oOQ5t1WUjl9eCjCVJgkzTTe3hdN7rjsaq8gDpAkt76yJOKb+jx47R2GGiTLHwSntGb+exKRZV6X1AZuhW1SSsTYvMLSlDu9FqtZiZmgIpWVhawvd9XDXhRxvkOgVgt30JISi5bt6ix7Ismo0GlmXheR5LCwtcM0brvubm0hJ+r8fk+PjmtlWFdJdNi8tmM68bkWQ6p2gkxnGcFSKr/9/KWNU5q3Ec02w0KKvUvaJBdyuHUJF3HRGBTQvV4rEa9ToIsamQeGsag/4N20q5XGZWRTNvrq7SVXpwYnKS9UJ6j/ZW7zaBrqzGrSdqwaBbXAZBQKfb5dzp0/dEzcg9abBev3QJGcfZDzcbP8r6eTgc5j0a21sEqVjkoA2wRE3RKRq0u6mMKI6zNliOk4fkNyElr//oRzx29Gg+aWMrEmj/0nNUnzmEmGngtqp5krgky1/FFtgzDZwHJ2j8vSeov/DY5v6SBeGo7yBQW9kpdAHKczMxwcT4OGEUsbi4SElNDEmUIa+VtBbMrdes213p2e0CEKoHpQB6gwHvnDrF4B4KXRjePStLSwS9HhO61RvkSk1YFkEU0el0iOKYeq2W92LdKouWSnEptpUqFkPuRColA5Wz2my1coVQ/PzFixeJ45hHDx/eeSeFhWKSJLnCzgoksyKN4sjIHO1pUvvQVHby2mzZ9lYRl1qtxuzMDI5ts7S8zMDzGBsb22Swag+rNpq3nltJhWyTON5og1et4roufhBw+fJlrl+9eouzMNyr+L7P2uIiZVWkp+9vyGQwSVO6nU62uHTdbHHpONtkseg5jOJ4k0PoVikw3nCYpwEUc171PTz0PE6fOrWrQ6hY9a8jIlpeE1WNv6O8Zhtvq92wVHP/OEnyRea2c79FdMR1XeZmZ7NoZq/HyuoqzWZzk7zmKUKF35pN+3AcBFnuvqWOVy6X88Xv2toaZ0+e3PNG6z03mnVlcZGg36fValFSuR3FL9gbjZBSZkUaqgn4bkrNUsUdSRxv6tG2myDpHDhLiO05q2Q33qVLlwiCgIcefBDf9/OWUFrJplLmbUCSzz0Mg2nwYgb/64/z9wcVsKfqtH/hIwghCIGw283y+6KIka7SVBN9LMvCtW1838dxnLwv5SaBVAb51hGXGt2AeXVtjcWlpWzMq/o776hMt+xfK0BttFpCIIWgXqtljZ49j1NvvMETTz21qRet4d7GHw5ZX1zEdV3aY2ObjFAhBIHv0+/3GRsbo12vb1NqRfQiU1fyag/ObvIqgUG/TyJlNmq1oNy019TzPE6ePMlzn/hENhVKtYQq9jUtpsP09aJQZhN0pDqXbiEikRuqSil6akRzkiS5ke66LkEQ4A0G2cJ2axRE/V6lu4T2y+UyB2ZmWF5ZYXVtDcd18zZdOw0IsWw7G22pZN91HCwh8jw6/fesVCrYlsUoCLhw9iyO4zCru68Y7nnSNGVpfp4kipidm8vvS120lKqpcNVqlVarRVV7P9X2m9LRyPTAJp3ArRdjvu9n3QAqldyzmh0gy+FMk4TXXn+dRw4fzvobK31fbL+ojWspJUEQ4AdB1kNVdf3Q8ppLm5I1i6zX69D3kXGMsO1cXnWUcuB5eYhen9PGbkSeirgVy7KYmprKBp70ekRxTEedQ6L6uxb/bnmng0KkxHVdBqobiCAr+HQch1q1ih8ELK+swKlTHHviiV09tXc795TB6vf7dJaWsBwnL9ooejt6/T4yTSmpsW9w+1xUUIVaaiV3K09Nv9/PEp/rdeI4ztpgpClpHBMmCVEU8fZbb/Hkhz+cF0LpPovag2sLAbpHaxxTcl0qZYc0zHJZAUohWLHMkswLwpd7RMiM7EAZv9o41XPV641G7gm1bRtLCZhuP7Vbroyu+L+5uortutxYXt7VS7zVaNU/Tklhhac/o0fjDjyPk2++yd/5mZ/JXzPcu6RJwvLVq8RxzIHZ2c0/yiIrFgyiCMe2aSpjVRcX7CaHlsjGLFrq37eSa8/zCNXYVshSedIkIYljItUm7uSpU8wdPAhC5HPEsax8jKMFueJCCJwgoKQWhcViRF0QUpwSp5WnsKxs5GIUZYtV7a1NU9Y7HYIgyBfMjuPkrX8s28ayrF2NVttxsvzV1VU6nQ5Ly8scTZIdP6uvqyj7lhDEImusrhWwpaIlWBbeYMDZ06exLYup2dlb/KUN9wJpmrK+sMBIeezdcnlTCkAURXhqwVarVm9prGp0xw9UCs+t5DVUvUZLrkupVCIMQxI1pjSOY+I4ZuXmTQaDAScefzxr5cZGpEaPCi9GFpI0pSwlVRUNFQBSZq3x9LmriITuNe4IQagWc5u8tcpgDYOAstpeFx1blpU/74YuxnKVY2ikFqy30oVFx5P+DYqThFLhGnEcapbFwPNYXlzEcRyOHD9+y9Siu5V7xmBNgoCVhQWiOGZubi5/PTdWez3iJKHdbhNGEbH+EebWxqo2+Nyd2llBrty6nQ5BFFGtVvNJOxrHcSg5Dpfn55mZmcnbf2xqpVHYpzZCgyAgjmPqUhAWJq2WIrBja1sLDyAPqTbq9XwqUKquo1wu01N9FR3HIYxj4iDYFJYUWhkrA9ZxnE0N0MvlMnMzM1y/epXlpSXuP3BgV49o0WiNooiS6yJsmzhJNnKGlKFeUXPN+70ep/7mb3jiwx/etYemYe+TJgnrCwsMBwPGxsYoFbwlQggGnofv+9RrNQLHIYqizGi7jRGq9+3YdmaEbZGvRBmGw9GIwWCwo5K0bDtrCdfrsba6ys9+9rO4rpvLa1Fmi/KaymyGea1azZWMVia7KR0tG26plE34/dTMwQAAIABJREFUUftJ05RamtJR/WCrrksUx4TFvspiY8yssG1c284N2mK7rOnpafww5OLFi6yplmE7UfTcxKrYzZGSMIqoFn4DhBC4yigf+T7vnDrF467L+MTE7l+KYc8T9Hqsr6zkbeTyYkeRTTLsDQbYtk272dzUE/zdyCtK12x7T2aF0qHKxSRNoV7PFneQ53U6loVVKnHx4kVOPP44zWYzX1RuktdC6h9k+ttVE7mKbO04UNhBVjwcx7SVsyZvC5emWfTB93Edh0QZ0mEYbmpNJ4TAtixspVu3GrLNZhNbndP81as8+vDDO/5t8qsqpDOUHCcrYCv0otVOsVqtRr/fZ2FhAcd1eeTIkd2/lLuUe8JgTaOIweoqnufRarczw0itpJIkodfvk6QprUYDKQRht0uoxrfdjlj3bS2VstVLGBIlCbEyVKWUDIdDojCk0WhQq1QyD4i6EbWwDIZDLs/P81ml/HZDu/OhmDv77t33O+WP2gC2jVOtkqj55NVKBS2SuqdborxKSZKQqKpNlBdJTwazbRuE4ODBg7x98iSr6+sIa2fjGTaUYBTHVNQwg0h5zfT7kP3o1BsN+v0+nU6Hd956ixMf+tDO850Ne5o0TYl7PXrdLpZlMaby4IpTq3w1saZarZJ0uwRhSEVNzrnlvlV6TalczhZHcUwURflzmqaEcczI8yiXyzTr9VxpFBWHlJLXXnuNx0+coHqr34mCR/JddwgokCuyLZ5Ny7bBtmmpgkfHcfIQaCqlGhqSKSm9aI7CMJdXWzX/19c0NzuL1FEg2NVo1eekOwRUymWiKNom30ItMuM0JQgCTr/1Fk98+MO02u13fe2GvUPseXRXVwmThIPT0xstqYQgUCPHHdumqfqLesMhSZretphJQu7AsCyLVOmnKI6JldymaZpPnRxTee628lgWnSnnL1ygWq3ywP3339J7WHwnTVOcW+jj7RuLbUXKQkdGLYtmq5UvUhv1+kbakJZXNSY9ThKCKMoXnJZKA3IcJ5tWWSoxMT6OPxyyvLLC3MzMrt5ZwUaea61ez/T3FoecVNHUSrXKcDjkyuXLOLbNg7cpSrvb2PPWQJqmRJ6X908cU/leOizeGwxI05S2agKepimu4+QK0brFjS2BIAzxRyNsy8omYqhCCsu2KTkOURxTLpWYHB+/pev+9MmTPHzo0G3zMzcJk2po/JOgt9+tsUC1WiXq9xkFQT4YwVZe1WKT9XymuQq1hFGUTamSEpvM0zoaDnFtm5XVVaYnJ3e9/jAMSZKEWqVCEIbZCnCHz1pCUKvVGA6HrKyscOncOY4cP/4TXb/h7icZDhmoMYqTU1ObjVXV71NPrEmThHKpxNDzCKOI8q0We5DfqynkIUPt6XEcJ/N8JAnjY2PZ+NZdWFxaYjgccujQoXd9XTo39LY9HYvcJixXdl0C28YbjWg2GnlqjeU42368kzTNlbz27Oh0AdtxsgV7mjIcjbLJO7tcf5qmhGGIq4ze0WiUdwvIT5vs710tlbK+0b7POydP8tRHP2oWmfcYSRAQjUYM+n1q1Woe+cpzzNWCqqU8jqVSieFoxEjds7uhczB938/qP7pdYrUIEzJry6iHVzQb/z977/0exZltC6/K1bkltVBA5GCCjQPGNjb4zvjMnPsH37nn+c4cjzOeMTZgoklGEiggtdSpqiuH+8MbVF2qDsLGiG+0nofHmO6u0F373fvde+21i0Qbuc+zFQQB7t27h4sXLw4udSeCTRbkqTstjaf55AlIggBd00iWlQr6C9iSnkJKGtPzPDL1zvcJ3xbE/iQa/Bs0fnm+vj4waHUcB5IgIK9pMOgI9GQwzzbGiiwjl8/D6naxMD+PYqWC8YSM4G7H68m8TSDsdhG4LmzLImNAZRkiSLDaNgxEUYRyucwlcGKQrvk4imD3EdQPwhCWZaHZaqFFp1+xqRLFQgFjY2MYq1YhyzJCmjkcFKwahoHllRW8cerUju4tomT2HUEQ+garAOHUMLmLtDh5EiJ9uDVNI53ZxSJy+TzRu5Mk0twSRZBkGaHvY3VtDZbjbDtOHJMJJ7IkQdU0yIqCsF8HJi2V5Klqw/LSEupUi24P//9A6LqIPI9k+kQRhXye86YNGsTm8/mt4R0C6XaVZBkW5aSlwUrxHaoX3KWT1CRRRL5QQLVaxcTYGAq5HDzPg0ynzg3CrVu38Oaw5oTUM8waJ3dqsyL6bzAFQeCVoB46QAYkWgnSczkUikXkCwUyrIOtU7kcXNeFCKDRaqGRbARLwHFdxHGMQi5HNrGUF7ft2sgFEi1KSYJhGHj0yy8j3/cedj+iKEJI6TN+FKFSLvPMqkODVUVRiCwk5VMzaTbP83hDVRIsUDO7XTSbTULX833ENNirlEoYHx8nlRfatV8qFgduhB4+eoTJyUmMDagckJMnKiJsg7mDigiAHoWSLOi6DlEUt2kppyGABPc5XUexWESR6kprlBusqiq63S402jy2vLrK15gkfFo90jQNiqqSyZ397BWAKsvI5/PwfB/37959rTRaX+uANXBdxL4PwzQRRBGqlQqfmtGipa9Kucwzh6zcLtNuV8d1uUEFYQjLttGiQarlOIRbqWmolMuolMso5PNQVZVMbopjWLYNRVG4c+2HW7dv49SpUwOpAOz6kkim9UfFIDkQBj2XgyiKcDICzJ7rodfk01nLsiRBp9qybHStIAioVKsIwxBPl5bQoHPd2WLAlBDyuRwPggUMMChauigUiwijCPfv3Rt6nXt4PRBFEULLIp25joMq0zyNicaq53koFgo8QEs2ExQKBUQ0OwhsBantTgeNRgNmt4swjqHRTeX42BiKxSJ0TeM2ZFsWYqoIMCioXFxchCzLmBnW/Z7KzLAN5o6bGQZkbADCS1ckCbbrbs1mzwB7hXVDS7S0mM/nUS6XUaLlwnK5DEUQsL6+jpXnz8n4ZmqPQRDAdV1odJ2TaUNZlhwOU1cRJQk5uvFYWVnB85WVnd3/HnYtQjqW1+h0SHYulwPTWDW7XajJYDUhb5ijPoY1PsUgTVM8SDUMeK5LutjzeVSrVa7VynS7Xc+D53ko0H6MfnBdF48fPcLZs2cH3kvacrgc4wt0zA8KWBldJqL872FgCgaMG57TdZRo0O7T+y8UCnAsC/OLizBMk3B4aeLHphUTNjxBVdW+8lVsAIkiSdBVFZZl4f6dOzu+/1eF17Z2E0URIssi4vOGwR/0gGZWBUFAhZKXga0ueuZKclTqYXNjg/BTKSQ6HUrTNIiCgGa7vT0AjGN06TlK1FjjPlnD+sYGjE4HFy5cGHg//Pqos2M6cDumBNDd7yCDYmWLLi0dZI2vZFIgTEkgzsjG6rkcEMcYq1aR03Wsra2hvrmJMAggKwoJUMIQ+VyOn4MFrGEYbp/zzr6/RKa1a1m4e/Mm3vvgg9eyq3EPWwhpxqHT6SAEkUqLAbTbbfhBgFJivGK6OUKRZaiqCsMw4FgWDxZFyp9WaZbPsm0EVB4qCdt14YYhiqUS0YRk3bUZm8S7d+/i/RGet7S9vwiFB9jioA1CPp+HSxUD0nzSZKAKEAccUT3YJPRcDp1OB6ViEflcDuv1OqdMsU23T5VJ2DkEQYAsSZmZnSREmi3vdru4f+8eytXqnjzda47QcRD5PmzLghsEmKzVIACwKEdVU1Uu38g5rQlVmEKhgGa7jfV6naz/9DVFUfhAmzCK4Pn+NhpNSKucqqr2TKpkTdBJ3Lt3DwdHoNul8UIUHoA3O6YlM5PQVBW248CmSa3ku1gAn+VTk8jpOu+1yeVy0FQVm40G1jc2MFapEEkwqvrBMt8AafJmVIM0h5g3wlE+awxgfX0dzxYXceDQoZ19D68Ar22GNaTyGYZpIqCctDCK0DFNiIKASrnco50KJDoDwxC2ZRGjcBxYlgVd17d2eQluK9NnS8J2HDIhi2YVALKwi6JI3itsSU3cvnULZ0bRPUt1M0YvWF7knx9iDJqmkbIFzVjFIBpzrEM5aYzJDsf0MZhQsq7rmN2/H6VcDpZtIwpDdC2LNLyEIS8zsu8pDALEaYWEJJGdktBzuRyazSaeLi6+0Pewh90BRgXwPQ9dy0KF6p6a1H5LxeJWsMo+lOi+Zzbnui46tMGjXC6jUqkgn8/zhTliz23i2QqCALZlQVMUMnaUNTowm0289/Hjx5iYmMDEkI53FlAnwbhnO4UwQlY2TeVJbirZH348ZK8bSXuVJAnTU1MYr1RISZGuhbbjIArDnqwr4/4Pyu4CxPHn83mEYYh7d+4MDcL3sHsRhiFCy4IgCGh3OhAFAaVCAa7nwbbtzGA1ufnzKCczCAJ0qY0Xi0VUq1WUikXSGC0IJGhLB35xjK5pArSywiDS5EnSvg3TxNLKCk698cbwm0pvMFlT8wv2iQx8jyCQZs045iX3GAn/mrRXYWuaXxKqqsJLqCGMVauYmpyEIsuwPQ8OVTsJo4hUi9l4W7YWMqUGdvvkZD3nYENKHj98yCXJdjNey4CV7fziKILR6UBTVWiaBtM0EccxyqUSdxxxyog6hoFWuw3HdZHXdUxPT3M+R9pwWNZTTDs/24amaZmyS8wRSpKE5eVlxAD2z87u+B5/y+4vHfxmgUlJsekcbJxlPyeTxdvRVBVuolyvyDJqdBdebzSQy+UwPj4OQRBg2TbanQ5p+KAZGyFlTNtCbIGMiJRlGb8+fLg3Ces1RRiGCKjz63Q6iGlW3rJtXvLTqC0lZaJCuulpNpuwLAuyIGDf5CSqNMiKU4LaABCHYe8GMybC/GnnlwRzGEEQ4OHDhzh79uzQ8cs9U+Ww1cAxqInzt0KjmSbWBBVlBM3J69v2eU2Dm+DBCoKAWq0GXdPQbDQgAJis1aBoGhzXRccwuM2JgsCneDGkA1hWEdJ1Ha3NTSzOz/+2G97DK0NEqxg2pfCMjY0hCAKYtMGqlA5WQUrstuOg2WrBoMo8Y5UKJicnIYtkHHraPsKYDNhIBo22bcMPAhQLhcxgktmrKAi4c+cO3jh5EupOOv3ZPb4A5Y5fAwbTAgCSSRZlmQwGoWOO+27iMgJnkcrU+QmOaalUQqVSgW1ZsCwL42NjKBWLCMIQpmWhYxiEDkDXM1GS+Dm3nZlmWnNUveferVu7fpP52gWsSednWRa8MES1WuWzhYtsGk6iRO+6LhqNBjGiMISey2GsWkWhWOSE5zAI0KZarQzMIXAHSCV3BEEYylsFwJ1fj35jv3L979TAwZDlNiNsacZFcQxFliFRPtIo5fb0tei6nskvzeVyEAHeaVyihHJJluFQ1YWubcP1vK3zDgiUc3Ri2etgUHvYjrDbJVOZqMPL5/MIwhC2bZOSHxPZTwSqnU6HbCwdB6qqolwuo1ypQNd1wkGVJHRME3bq+YtSG0yLZnmKhcLQ7uH5+XnMzs4Sms+Qe9pGB3jBBg5++qxzoNdeRZCsS5IjPvCYKXvVNG1b41YURdA1jU/CY6X9cqkETdNIdYQ219i0GsPWsG0lTVGECKJsoCgKnjx+zMdL7uH1QUAnOQEg/k4UUcjl0KG+r1gsQqA0OAHkOTC7XTTbbViWBQHgfQ65XA7FYhGKqsKh8lc9WT+aYWU26/s+LMeBputDez4M00Sz0cCxo0e3NIlZZXQEP5FeK3aEDN45L/XHW7qsjFc6Cpc1XRkCSAY0uclkvSSaqhKJrCiCruu8MhyDTPO0bRtdyj/mlMU+a4ZEaVXtdhsLT57s8Iv4Y/HaBaxRIriybZs87KIIz/M4z4O9HgQBWp0OkYYA4dRUKhXkczm+mMdxTMZClssAgHanw8tmPRMkQB6EkJY2hgV46+vrCMMQ09PTPe9lGVgh8Yen6uPeqRkv0sDBTIhlh5nxhHRhSJqYIAjQdJ0LHA9DmhqgJ0qMMcjvYdk28rkcZqanuVIDQMoUhXwe5WIROtWDNToddGkjTF+GnCBwEeVOp4OnCws7+j728GoRui5AN18OlVnK53J8hGGRyd7QUplpmmi323B9n9B0KhUUUx3CoiTxZkrLtmHSZwgAnxwFgI8p1kdwfmEY4tGjRzh58iS5HKDHRpPOMMkRZ/990QaOZPYjTASnydGvHALpyBeBHifWD0LqejRd7/mcT5tgZEnC7OwsVE3D5uYml7DSafMHa9I0u12ewWFcuG33QylRuq4jjmM8/OWXvU3ma4QoihAxmhjNmOq0lyCOY5STI4zp641mkzQgyzKh6dBBIMngsZjPI5/LwfP9nsQQy9ILoog4itDtdkmT5Qga6Y8ePcLRo0fJ8I+kj6XZVxYACtjaULKAEiA2vxPNZHYv9C88QI3imCvfpG1WkWWSqHGckexAoMdm0Gi1A/QezG4Xge+jNjGBaqlENvU08aOqKkkOFQpQVRWO56FtGMTmBaHvJleglUxFljH/669bG9NdiNcqYI2CADHdqbBRo4qibCNnB2EIwzBI+TGKUCwWMVatQksYEQd9oGVqbJIkwex2yYMRBIQmIIrwPY/MME40EA3CgwcPcPLkyZG69jn/J+EUk7qHMQBEMflDd0pxFPcEpXwHlWgkSZYM+wW+qqpCFEUeeA5Dckeq6jo8Oo3LNE24ngdN05AvFFAqFlHI52GaZo+8h0ibqYr5PCQ6wahjGHAdZyAJXVNVKIqCxYUFztXZw+5HSDOgArYUIzwqmF0qlbgzsekkG5fqI49RbmraoTA+lygIKBWL0GkQ1qaBVETL8jENflnz3jA8ffoU4+PjKNONaz8kRyGy+4qRwTlndpywy232mnB+7NiJE2WeXxJFKJpGNFZHybImjqXSaVlhFHFxd0kUiZqCrmOC9gE0E3JXgiBAU1WScaWNlGa3y7M3maBZoJyuo9Vs7knTvUaIExULl9orU97h1UuQ6lmbJhxkWcZYxsYS2ArwBEEg3e/FIp88abtuzyjiLqW6FIvFofrEjuNgaWkJR/sJ37PNJf077zWh18ImcaXtFUCPH820V36K3tHj/a5BpyPUR/FbgiD0rHmarsN1HHieR7LTUYQClasbHx+HIklobG72JJxkWSZDjHI5CHEMy3F4dXkQ2Cbz14cPd+0m87UKWEMa+QsgBuPRB55laiJasm+2WgiiCLlcDmOVCufHpRHHcQ+PUhJFVEolnjlssWxrTATN5QETnZJgHJ4DBw6MdmMZD0cURXwnSzIlAgSRmoUoZP9yqV3mUAFlUC6rqiIY0QGyYwPEAVpU3iSOY25I7KzjY2PQVBWNZrOnJMKMUlUUlAoFiIJAaAKWBc/zthPFQX4rXdPgex4WnjzZtQa1hy0EjkNGKVJYlsWdAZOWcmig6lB6wBjtLs/KVKa7+gWaiSlSQfxWp8M3RyzrOorzQxzj4cOHOJ4cVTjg+UrzV1nQykYuJj8/imoHw9DFmB5T1zRAEEbWT2T8c5EOB2k0GvDo5rKQqBblcjlUikXYtg0jxRcX6SjJcrEIVVX53HjGp029GTHIZlhRFMz/+uveJvM1QBRFpCIC8tzajgPHdSGABDOaqsIPAuLfKFWgXCzyRE8aWcGcqijk/bIMy7LQpkklz/P4ZnWUhNDjx49x8OBBPv1tkL0mr4X/P1PASdkru3eWPR2EUWufCp0454xQFUleA/usYRiwbJvHOez7kSQJE+PjiOMYm41Gz+dZH00ul0Ne1xEEASw6sCUduMY0Ey3RTWZ9bQ2tPhrNrxqvTcAa+j7n1QBEU9Gi5b5SqQTPddFsNmFT2ZcqzdD0c1ZZkjYAOD+1Ui7zQGq9XocfBCiM4vxAuKvHjx/vGfM4CFmvpifLjIq0Ix0Fmq5DGEGXNQnP8+C4LplEpGkoFYvbZKoEQcDE+DhESeKlRgaRligEUUQul0Mhn4cQE0050zR7hhoIKYN6vrKy14D1GiBi2VUaXFndLmSqkyoKAlrtNufIlcpl0izZ55kflMnQFAUVujH1PA+bjQZM04Su6yNxSldWV6GqKmq12tY/DrDzTHt9QUmrHgxbW+jrsiRBkSS4qc3dIMQ0q8WyN0XK30+fsVwuI6dpvNTIIFIbjOIYqiyjWChAoQ0hTBeSXyY/Kdlkdg0Dqysre5vMXY4oUQ0BgC7lm2qahnw+D7PbRbvdJjJolF6nDgkYs55oWZJQKZVQyOd5tnVjcxMSzcIOQ+D7mJ+f79lgDkzOZFxbMvP7ssCOzKh3MR07OwrimIx8j+IYQRiikM9nNqFpmkaaUH0frXab/zuPPdjUrGIRmqYhDkOYpkmmaiUrPPTvqqpClCQ8nZ/flZvM1yZgjdnODwAEAa1Wi+zwKhVYlgWj24UgSaSZiv6wLBOSLjWP8rDK9EeWFQUuLXtbVKZpELrdLtbX1nDkyJGtfxzk/DJKDUk9xd+CUY1YFASomkZGWg7IskYRmRtuGAZsuuMDiF5cv3MpspxZahQlic9WBrbKGDldR0SNKiuDpKoqoijCyvLySLzbPbwaRLQywZ6KjmHA8X1U6TjQVqeDiMpZVSuVrc1Ov2c2ldVMgw0XKOTzfMKO47qwR+CO3X/wACcofWckZFVE4heYSsfAKEEZa0E/6LoOYYQyIyslmqbJs6z5XK5vIC8IQmapkd1b8v9zuRyZLiiQBliLOkFeUhUEPqRlbXX1tZDN+XdFMrsKEI50h45i1XWd0HVoM1S1WuVDY7iPTR2PUXcGQdc0Uh2JY7iuCz8MeZ/IIMzPz2Pf1NRIjc/sWtJgCZEXbZJkGDXg1RQFIm1sHASmP9sxDKKjKsuEXzqAg8/od4ZpcplKURSJ3nlColJTVZRKJSKX5Xlb2VZBABJrF1MN2dzcHOne/ki8FgFrFIYIfZ8Hq1a3C4vOF7bo7HFd01BNyFkxMF1UhoGckzTiGGEYolqpoFqpIIwiGKa51ZiV4VwePnqEI0eO7GiedvpaXljS6jdAU1UIQCaXNaKcNxaoipT3Vh4x45xVapQSPKL0dZRpl7Zt22SXmQqidU3Dxvr6XpZ1FyNMLMxxGKLdapHmCFGE0e0S+k0yQ0PBO2WTtJAUdWcQ/CBAPp/H5MQEZEmCbdtotdvZpWsA9Xodvu9jdgfSc1lBZZQxrGDHGEbjSUBRFN7MkXV9nuehQykSMaVHVSsVPj5zELJKjSxgTY9zlmgzpaYo8JkTTDRkMWpA1zDQbDT2sqy7FBEt/TMf22w2EcZEItKgI86LpVK21FSK8tKvepl53iiCLMuYrNXIOFfXRZs2SmclJKIowsPHj3EySd/B8PJ9GiyJ9VsyrMPOmW5w1jWN6NtmBORBEKDb7cIwDHi+T5RRSiWodKT8MIyPjUFTFDQaDf69CYIAL/UdCoKAvK4jn8txPrrneT0xiETltNbX1kZq7vwj8VpMugodhzgs2kzRbrf5dIwojsmuQVH6Bk9pUeNRH1GHimcXqNBxTteJILLjoNvtwgKgqCppCJJluL6PZ0+f4q9//evA47JMJQvIHNpd7/k+ojCE7/vkIaKdk4HjwTsHxBIxgmvvxBCkLrQvv4QkSRAlCZIkQaKDC6Iw5I1PqqJAp5My1ISCQhqyJJGdl+Nwzq8fBPA8DyF96BVV7Rl1ya5vFJTLZXieh1a7TSaL0d8kimNIqWsSRRGlYpGIxdPz5/N5fl5JkuC6Lurr6yhlbFL28GoR+T7RQwUAQYBJN5g6ndySy+UGZuUFgOz4WcaxT0d6GkEQwPU8okSh60RnOAjgUEF823GgyDK3WUEQ8PDhQ5w4cWLwmhCTEYu2ZXElDNu2iYh/GCKk2VyGMAwRhCHiMIRLRyj+z+efQxJFYqfUViVZJpWGICBKJdUq0ZTWdeR0HZquD9y06rrOKxFsyp/v+1xTWpQk5PN5PuoSAB+FOwys1Niko6rLpRLCIECUYWts2phEJ42Z3S5yKZ1qTdPwfHUV4xMTffVw9/BqEEURD1ghCPBdFyZV1glpQFksFPp21HOeNh1oAYzmY+M4ht3tEtksSt/L0SZKpgMsiiI0VeUj0Z8+fYpyuYxqtTrw2EEQwLFt4qupj3UchzRm0kE2IdVsjmgQyf7EcYy///3vW7ZK7VWUJDKMiNpPqVzmUzF1uqYNSlSpmgbbceC6Lh+w4XkefFrZZNQBjTZCA4AkywhGbNaamJjAWr2O+sYGpiYneYN25rUoCkRRhE3XMt/3ycAkel5NUdDY2ECn08Hk5OTQ8/9R2PUBaxRFiJleJy09dTodxCAyVcVikfOrBkEAlbwZ8bxMBFmlwSg5CJGOUFUVge/DpYGlR6/v6eIiZmZmoGkafN9Hu92GYRhotVqkW54ajee63CnJmoYc/Xsll4MoSYiozFSpVCIG0HJgfncVYgT88xxw6hdAmNRR+uu5LUOj5fWQal0GYYiNjQ1Y1MnajoMwCJDTdei5HHRNQ65QQIXqW5aKRSiKgm63i1arRRaneEsIXE0YEYPIpnphNCWE8fFx+OvrqNfrmBgb479vllNmXaUyky7qdskITuoEdU3D2vPn2Dc1hQotM+9hdyCkcnOg6hpN2nQ3RrvwFUkayhEVQbN5O8g6dk2TN4gwMKpJGEXwXBee7xObsCw4joNGo4ELFy70SGq122102m3YdFNp2zZkWSaNJ5pG/qvrKBSLfPIOc0JsQydKEpk4Iwj429/+hgsXLhDdxIStRkHA9Wg930eH6lgye3Vdl2yU83kSwGoaypUKkQ4qlyHLMuI4RqvVIhw56vRURYGSXLcSkBJC4sNQKhZJptYwINP77LtBFQQoioIinZ5nOw583ycNdPQ1wzDQbDb5v+1hdyCmGxyAZB4N04RpGNALBfLspaog2z7P/Kooko3qiL+t47rwo4ioeLAmYEo10WlyyKO0HttxIEoSfrl/H2+//TaRUaRNW512Gy1qOywwDak+qc4CSk3jCj8S5X9LksQDcVmSSGOhJOH//O1v+PCjj3oC2YhuQkOabHJsG45to9Nqwex24TgOHDoUhwWvmqahWCpxH6vrOmmi6naRlL4CAAAgAElEQVTh040sBAEKXVuSG0uGrIE9/aDIMsarVWxsbKDRbEKlnNV+YNUR13Xheh7MIEChUOBrmixJWFtdJZWwPo3rfzR2fcDKZTYEAb7nod1swgsCVEqloRI0/BiUw5HWOBsEy7IASjjPJI4rCmSadW02m9jc3MTjJ09QLpXwt//7fxH4fs/DOlGrQdd1ohWbkNdKT49h53Y9D2N0FxmEHURbylDIOYDsiRjPGB8ZxTHa7Tbf+UUJXlxIRcCZE261Wni2tIT2vXtwHIfwlehisa9Ww9j4+EDNWZa5lkRxJIUBSZJQrVaxVq+TsrAkDczQCoJApqoUCtwJsiYAURQRWBYaGxtkKMFelnVXIAqCLadFgynLtqGoKvbVaqP9TvR55VNaEtI3/eB6HrwggK7rmZkgiTrCXC4HwzDQaDTw4OFDSLKMzz//HLbjkE1jpYJypYKZ/fu5veqaxsc8RxnlziAIYBgGr8T0fB/0vZUBaxWjyZQony9KBA8uddiObaNjGNjc2MD8/DwMw+DBrKooGJ+YINqM1epwbckdlOWrdCJZq91GLpcbSCcQaGNksVDgTtCyLB6gaoqC9bU1jI+P73ju+x5eHqKEjzVNE612G6IsozYxsRWsjhiECpLUowzS95xxTNYFScrkZzLOpUYHZTQ2N/Hs2TM4rovbt2/jXz/8AEkUUaaTn2q1GjQalLLANJ31TaLVbvPMcRbKpVLfa3ddF5Zto1KpkAlwTOM1jhF4HrFXWoVtNpt4/vw5n/BXKBSgUC7p5OQkJsbGttGi0t8DrzCNYLe5XA75fB4d00SZDQyI40wfTtSHRKh0fbOoUk+BVjM1RcHmxgZM08yMNV4Fdn/ASjUbY5oxDMIQObpz4T/gCB29THYGgjCUY+P7PtEUpQL3PceLYzSbTdTrddTrdTQaDbI7UlXoqooTx48jRztok2LFAsAdSRAEfBeT9SBFfR6wFwHLLEdRRHh2VOpCURTk83nMzs7y63AcB51OB41mEwuLi7h95w4AYN/kJCb37cNkrYZ8YmIQz7iMcK0xSDZV0zQU83kYlkXoCkN276IgIBQE5PN5dLtdOK6LGCTDqudyaLZamOh2R9687OHlgtkrAKLaYVkkIxnHJFgd8blO6gfHlB7Q970xGb8qiyIERdm2wex2u9xe6/U6YgDlYhGmYeD06dOoVKvQ6XjC5DElmnUJowhgE2NoFjMJ9rkXbrpK2DtzUHEUEXF1WhKVZRmqrnMlA0mWSem228XGxgbqNJB1HAcTExOo1WrYt28fCWAT19Vju4O+U2xxdceqVWxsbsKyrK1BD4MgCHxTbrsud4KKosDqdGCaJnK53F6WdRcgCgKAPtOO46DVbPIsZ47pFw/7ndjr9DmORwiuLNtGFMfQMzSSA99HfWOD26vZ7aJcKsF2XUxNTuLAwYN8+E/SZtmGKaIVjH6bY9YY+KI9Iuk7EwSBnzMG4ZcLkgSVVkQA8LWja9toNhpodzrYqNdhGAaKxSImJycxOTmJ2sQEocwljg1QVZ0R1IaiKCLflW2jbRgoFAp9A1YGUSAjWgt0oIvZ7ZJmSrr5aLVaKJVKQ4ev/BHY1QFrRCeqxFGEzUYDvu+jUq2isbm5lckYZdFLceC4LmJGsMWcn0AX3W63i2arhXq9jo2NDWxubCBXKKBWq+HosWP44MMPocoyvv3uO5w9exYHDx7cun5a2veDAJ7vI/D9nrnAsSBABAlkBYGIG4sCkQASBQEB5QGGUYxIAITE8xpha3oVu+4ojjmPTwAJvMOMTmJJFCHLMv/DgudyuUyMptMhgus0SKzX61hbX8fdu3chSRJqk5PYV6uhWCptBeODsqyJrBFAsk0WbcAqjpBpYcaez+Vguy4hgscx2X1bFrrdLqGG/IFNanvIRkyf765pwuh0kC8WiQA5MHKwymVWksEV+/cM2I6DiGYvGF/2+fPnWK/XUV9fRxTH2FeroTY5idOnT6NQKGBhYQGiLOONN95InJY0WfrUhkLKCeWv02thCiSMM+57Hp8VHgBcnJx9BkBPpYNxc5nNunQTxgTNwyAgjUsUTFNR17Se8iWKRZ5ZdTwPlXIZvu9jY2MDGxsbuHH9OrqWhYlajd8/G9M4NGBNZKaYluNmq7Wle9kHrJIVxTEpSdJAqNvtopDPIwapILEhLHt4tWCDeHzPw8bGBglW83k02+1t1YK+x4jjrWmNSNgreXHb+xmvXKfUuTAMsba2hnVKFzNME+NjY6jVanjn3XdRrVbhex7+v//+b7x3/nzPdYVhiCAI4FFbTTdDxwKZesV8q0g1goMw5JJRjLubtNso4VfZ8aKEvbquy1Uv0pMi2dqgKArfbLJkVaVaRa1Wg2mayOfzkCWJJ8AePXqEq1evolwqoUYDWLZGcJ5wH5tlwSpANrPVahVr6+uwbRuVAdni5O8lyzIKtJHdpPaqaRrMdhtGtborsqy7OmCNKc+j3W7DtiyUqfxNBEBmjTtDIMQx2fGl/71P5sZxXXiUsP3gl1+w8vw58rkcarUaDh48iPPnz28bRGDZNhqNBj766KOefxdFkXBgVRUaG0XHuKbU0BifLTnrl42tZA9nYFnoJioXZhGQtBhyxpzuKI7huS5kShaXRRGSrkMSyIhT5mxjmnXN+l5URSGZTBoEFAoFHD58mJzbNFGv17Gyuoq1n3+G7/u4fecODh44kJl9ieg9J3d4kiyjWqmga1no2vZwx0UXRJHqsDqOw+epy7LMF4/SEMPcw8tFRJ9ji9JNVE3DxPg4nj57Bo1OexkpG9/PXoFtwWwYRbBoA9TK0hIWnj5FEASkKjA5iTdOniS0ltTx5hcW+BjW5DnYJo5157IgNmmvzIZ9ei2O68LzPMJZTX8n1IbbCY3ENBzPg0QzuaIgQFRVaLTJQ6ZBMf9+Mz6vahrn06uqipmZGczMzAAgslYbGxtYX1/Hk/l5mKaJ69ev46233spspkhSEpKoVqtodTpodTqcqjQQ9PdRacbbpjx0XddhdjpkyMhewPrKEVMedaPZRBxFmNy3Dx3DIE1GI/SGAMhU8OjZsKVe71oWAs9Dq9nEkydP0Gq3MTE+jlqthrfeegtj4+OQU8mHJ0+fYnZmZlsQzZqiFCp3yPwa6+vwqVYxHydMg1TLshAD8Pp0wQ+yV8/z4Pk+clQrXZZlMhyAcmBZcNrPx7L3ep4HJZ/H+Pg4xsfH8cYbbyCKIjSbTayvr+PBgwfY3NhABKBUKmF2ZgZyRgUpyqA95Gmw2TEM+EHQd3gSA9NFl0QRhUIBXRq05uikLYdy0l91lnV3B6xU6qHb7SJXKBCJDdNEFMfQRpWNGsK5YhSBOAyxVq/j18ePsV6vo1KpYHpqCnMHD2J6ampgU9HCwgLm5ub68/OS2RJRJBNnFAUhHXu39TbygAdRxFUJ4jhG0I3gJOxKcwEpEPhgBCZHwrMnIA1p7CHtye5s3Xzf+9FUFS51wumMSrFY5H/W1tag0MaP77//HpIkYXb/fhyYm+ONLvx7TqFQKEBRFJimiSptIOkHQRAg0ZKIIAjI5XKEJ+R5yAkCnG4XXV3n+rt7eDWIPQ++68KgAvXjY2OkYSGKyEK3kwxrBri90vcYnQ4e//orllZWIMYxZvfvx9mzZzE5OTmwUaRjGOh2u5iemhp6KT1BrKr22BEL7kTDgKIovPyWzC4F9P3JxhKWhRQEAQLrPhZFzqdLZkt6vpY+1yhTB+jSgDUJVVUxOzuLWq2GK1euQFYU1CYn8cv9+/jxxx8xPTWFAwcPYqJW4xvDLEiyjFKphCZtIB1GDRASJUz221vdLizHgea68H2fZNlGEIrfw8tBFIYIPQ+GYSDwfVTp+PKg2STr8U6qlwNslr3iuS4Wnz7F4uIiDMPA7OwsDh06hHfHx7k+c+YpADyZn8e777479HIYLYD1R6QDNabQgzjmZW9us4nnP5fLbWVeE3YrCgKxM9dFuVTa6kXJqi4O+E5UTePi/Un/KIoiJiYmMDExgdt37hDKQKmEer2OO3fuYKxaxdzcHGZmZiAz2mGf36laqZDJn83mSGsdu2aRBa00oSQIAnzfh2maGKPN0q8KuzZgjaIIjmnCtiwoisJHOfq+T0pkowSsAxZg9vpmo4GlZ8+wtLQEWZYxXqvhs88+Q6lUguM4ZH7vAA5IFMeYX1jAxVR2tQcZn82S62Fpf1kUoSVkYSTFhZqo6is+IIdC5q6JN3Elj4sM3s2AQF6iNIGsgBUAnj9/juvXr+PcuXN4+PAh3nzzTbx59iwajQYWnj7Fl19+CS2Xw4G5Oczt3498BrFdEMgs+U6ng1a7jdrERN/ryboPXdMQ+D5s14XV7aI8NgbXdfeyNq8QAeVURmGIIhWotilXbdTy4jAHaHe7ePrsGZaXlmDaNsbHx/Hu229jZmaGZCdGGCk4Pz+PQwcP7nhzkzVLXKJBJ1MPSYMFbYNK6Vz/MnWunXA8VVUlvMCMCXmO4+DKlSuYmZmBT+evl0olWJaFpaUl3Lx1C5ZlYT/dbI5PTGSeu5jPw7QstA1j6AhNAb28O0WWoedysC0LZruNaGYGFuU37+HVIPI80hdA6RlMbsz3/R4e5VAM8CVhEGBldRVLS0tYW1tDpVLB/rk5HDt6FLIso9VuD1Wt2Gw0EMUxJkbwET2XlbGOiLRiIcsyb97NwqDeiiy95WEUmzRUReGVwqxz/fzzz2i1Wjhw4AAkWcapU6f4d/l0cRHXr19Hbd8+HJibw/T0dKYtsqYyz/c5j3wQGCeYJb/y+Tw6dCysa9tw6Ib9VXLPd23A6pkm7wpn0hQA4b/sRJQ/y/lFYYinz57h0aNHAIC5/ftx+fJlLtibz+e3pDpAp9j0+ZHq9TpURRmqC5d9adkNV0C2Uezo2ENeH2ZauqbBtKxt5PWVlRXcvHkTFy9eRBzH/LeIAVTHx/F2tYqzp0/zjcAXX36JWq2G48ePYyLlCFVJQqlQgO04vJt44D0lfkumWWdZFpqNBmrT03u8uFeIwPdhttsIgoB367J/j4DRSkkJjmf63zc3N/Hw0SNsbGxgbnYWb507B0VVEQYBKmNjPDOQ+fkEwjjG4uIi/vTnPw++lox1g/G102DUlBfFts0kdiZnA5CAlekWJ4NA27bx7bff4vDhwzh58iQWFxe5HFYul8Ox48dx5MgRGKaJpaUlXLt+HYIo4sTx4zh44MA2xYFqoYCubaPd6WBiCKctvSlXFQWeLMPxPBidDs9u7TVfvRp02234vg9ZlpHL53mDYRiGyI8SsDKeZ8ZLtmXh8ePHWFhcxPjYGObm5vDmm2/Cdd0eVRdRFIeOK52fn8fhQ4cGPieZr/RZB1hW8kWrccmG0BeFRLnoXkbAeu3aNViWhUuXLuGXX37hVCNRkrB//37Mzs4SCtTKChYWFvDzzz/j0KFDOH78eK//o9XIGEC70+nRWc2CAPQo/oiiiJymwXZdNBsNFMtlMqTpFW4yd2XAGkURzFYLMS0lJn9Qz/cz9QVHgee6+PXXX/HkyROMjY3h7XPnCI9LIPquMRU1Z6V1iCLJRA5wgAsLCzhE+Z07Qb8jxtFv7DjOAOvm7zGwIbtBWVF4AxgzgmfPnuHOnTv4+OOPUalUsL6+Dpk6HV6aoNnv2uQkapOTeCsIsLi4iGvXrkFVVZw4cQKz+/dzflQ+n0cQhmjRrM3A+04RzyUqWG7ZNjY3NqAoyp4DfEUwGg2EdJSgoqp8kfWCACJGCFgznsc4irC0vIxHDx/C930cP34cFy5cgCRJCIIA7XabONpUk8egJ3t1ZQXlcrmvnE3/y+uv4RwP2ND+URBFEaosw/N97lBM08SVK1dw/PhxHDt2DADJnrFyKeMKs8l1p06dwqk33kC9XsfjR49w9+5dHD16FEePHCEcZGrbxWIRHcPgUmB9r0kQECUGFURRhBwddrD+/DlKu8AB/rvCMk24dIxn0sf6nkcqIi/oY1vNJh49eoTnz5/j0MGD+Oyzz0giIo7RbLUg0WoEQDc0A6opABles7yygv/8y18GnjeL994P6Z6K3wOZGdYh96apKnzL4km4OI7x448/IggCfPzxx5AkCX4QIJfPb6McKIqCg4cO4eChQ7C6XTx+/Bif/+MfmJ6awokTJ1CtVjntqFouY7PZRLvdHlrSZ1VM9u0oioIgDNFutzHe7XKN3FeFXRmwNup1xGHIy/7JBzwMw5GadBgEgHDdHj/G0vIy9s/M4PLlyyglZJDiKILjONCSU5xYNzDtKsyC63lYff4c595+e+c3OWj3h9+2e8uCkG4wE0VggKiwKIqkbEED1oWFBdy/fx+XL18m859BnJ8gSSQrnKQgJI4tyTKOHjuGo0ePYnV1Fb8+fow7d+7g6NGjRMJDljE2NoZ6vY72sIYOGjTE2Ar4ZVmGpqrYWFtDuVLZc4CvAJZpwqfi+kEYbn3/tNlhpxq5vu9jfn4ejx8/RqFQwOnTpzE9Pd3zjNmWRYYEUEfL5V+GCOMvzM/zBsLfAyyL+Js3mCl732mJEQAU2nzl06bR7777DqdPn+b3G4OsWZIo9jp4ITEPXhCIhN2+fTDabTx6/Bh//5//IXSBAwegKgrKpRJvrNP27Rt471wWLFEZyefzMLtd1NfXUaRTyfbwxyEMQ5g0eAxBx3JT/8CynTvZYMYAVldX8fjRI5imiWNHj+Ltt9/uoRW4nocwilBKcJ8ZpcYn/5PpE5eWljBJNcwHIYvi1q8i8ps3mFmb1yxbHWK/iqpCdBx4VArw6tWrEAQBH330EVczcF13O/0xlbjJFwo49/bbOHPmDOafPMGV779HuVTC0SNHUCgWoagqisUiDMMYKeBkWVaWPNOpWtLaygry+TwJhl/RBn3XBayu6yKi40Fdz+ONRWDdq3HMu2b7gr7fME3cvn0b9XodR48cwV//+tdMLplDZXHS2YIktyxLquPp06eYnpoa2oG3k5+WPYQvXK5gjiHjGuLeNw49lqppcD0PDx48wOLiIi5duoRCocCDan8APWObwxUEzMzOYmZ2Fq1mE48fP8b9+/dx6NAhnDlzBgXKjysVi32PyXbkIgA/EWyzyWLrz59jfHx8zwH+gYjjGGanw7t6ZTqHmpWCR8p40+fED0M8evAADx4+xPT0ND766CNUMzICQRiSTGKGlidbG7Ls1bJtbDYa+HAQ37zfJfb5999lgzmCLY4SvLLu482NDdy4cQNvvvkm5ubm+DVyek/WZLmMMculSgXvnT8P13Hw5MkT/HD1KsrlMt595x2MVauob24OV+egv3+yiUySJOi6jsbGBmqTk6hUKntVkT8QZqcDIQggKQrCVJ8Ca0AauMlMUAFWVlZw69YtyJKE4ydPYnZ2drvvimMyLS6RXWXgDYhIcU7p+jG/sNAjPdf3krZdYv+KSL/piqMixnZ7F/oE3IPAFHksy8K1n36Crus4f/48l7cTQDjAWf4w63yyouDEG2/g+IkTWF5exv0HD+D7Ps6cOYPZ2VmizdrpDPaP9Lhxwn+zTWbHMNDpdPiQhleBXRewmu02ZGw9FMkHnJfLBx0gJrqj93/5BQuLizh+4gTOv/9+3wAwToxgTe9kmAhyOghk2Yn5+XmcO3fuBe6yf1NFFEUQqPTUCx2X/SX9+RcwKFmWsbiwgKXlZVy+fJlzexmCIOjb/CYKQo+WZBLVsTG8f+EC1tfW8Ouvv+Lv//M/OH3qFGRVhWEYfcsWyc7j9L2wueqtVuuV7gD/3WBZFuD7kKkUGi+1M6c2QvYxBqWb3L6N8VoN//Ef/4HcAD6zQ0uZWc0KQuLc/Amgwevi4uJgNY+BF5n9LP/WDSY79rbn9QUdYLfbxY/XruGdc+cwu39/r72GYab0FvtsVnMmAGi6jtNnzuDAgQN48uQJvvzqKxw+eBDjtRqMbneoOkfWcVVFQbvdRqvVwr59+16ZA/x3QxiGsLtd5FWV92wkecpMH3gY2p0Obv78M1zHwTtvv40apdZlwfN9BGGYTcNJ+1d6jFgQ0Ol00O12se8FZtkPuoM/ijY2ivUKgoAbN26gWCzivffeI59LBNt9bZZWgDOlKUURcwcOYHpqCs+WlnDv3j0sLCzg+PHjpPoySJ2jT8KLSXRu1OuYmpraC1gBom/muy7yVFZJU9WtB0sQwH6afg9bHMdYWFjA3Xv3MD01hb/85S/QdD1bcoLCpXqjWVwsPnUm3R0MMk7R8zzs27dv6/zkIoYawzDVgd9kSv0yrEO4fcnPs/fduX0ba+vreO/8+eyJJIMa4ARh8HSOOIam63j33XdhGgZu3b4NAcD03BxKpVL/zC2ItmvaWGVZRmhZaLfbe7SAPwhxHMNst6FKEoIw5GLZADifOa2EkUaj0cDNW7cQhiEufPABahMTCAc4zTAM4dDfNytIEpCdjRQALC0v4x1K34mxZROjOK9BDVcAhld9dggeeNNrG8SfZVhfX8e1a9dw9vRp1CYnt31mWMPqoE0mQO7xyOHDOHHiBO7eu4cbN25gdnYWhUKhvzh5H2qDIAjQdR2tRgOGYewFrH8QTNOEHEUAXT+3bfoSWbUseI6DO/fuYXllBadPncKRI0eIbx7gY23b7uGuJsH452n7EkCyt+kNZl/fmc54IjtgZHrnv2WDyagz2y+h91nv53PZe1zXxffff49KuYzjJ09m3tfAKiY5WN/1NQIwMTGBubk5LC4u4qdr13ij5P7Z2exj0nvgEywT96NTJZJms/nKhgjsqoDV7HQgJ5qcklw4xrPq9wNtbG7i559/hixJ+OTixd6u/X4/KitVUJ3FNJjMVNZs5OXlZcymfvTkDpGfAtudzaDAMUuW5ndBRuNV2pGwgBsAbt68iUajgUuXLsGhuolp6gPrMO1/yv5ZIr6LFARM1Gr405/+hCfz87h//z4aGxt49513soPOODFrHb3fbS6Xw2a9jtb0NOE87uGlwrZtxEEAmcpXFRL0HQB8s5e1nDqOgzt37mD1+XO8efYsDh06NNJGzXYcCEBfndX0uEYGwzThui6XxmHPHq+aoDfYTTqfLAk6ht9D1aPfdyQkGpZYVafHZhMOcW1tDdeuXcOHH34IVVWJJF3KXgdVRMgJB2d1Y0rH0nUd5997D61mE9du3MDa+jreefvtzEyYAHCpnFgUe9ZSTdfRbrexubnJR87u4eUhiiJYhoGCJPG1u+d5SCQY0j4oiiI8efIEv/zyC+YOHCD0Oro57R+qkiauIAhQyOczAzIh8VynX19aXsa5t97KfD9DvyRRvw0vu7/ftMHssxakg2R2bUmqQzJY/e677zA9PY1jx46ha1mZakThIB8rCBDpKNrsy9wauHPs2DHMHTiAWzdv4ucbN2AYBk6ePJm5bsWJNS2ZcBJFEWEQYKNex/79+19JUmjXqKz7vg/PsqArChHmVZRtDxX/ARJfchiGuHHjBq5evYoTJ07g008/3S4x1ceZOK5LuKt9mrj4mLaM15aXl7F/bm7ofSU5sPwe6ESOLKNilIAXBTtiT2CauA523uQ18Guhf65fv452u43Lly4hl8vxqRxpePR36gtByFykgMTCwTJIgoBjR4/iww8/BAQBn//jH1haWtr2uZA6dwHbF1VVUWDT2ep7ePkwOx1ogoAwDHnJCMBWdpVmT9LPwLNnz/D5559D1TT87//8TyJZM8L5oiiCS5sj03JLDKIoIspoJlxZWcEsnf6UhaSdpq83Sjmb9DWx8tyLIp2xYescs0lmr1HaZhP3dv3aNVy8eBG1Wg0qnfqTrm54rju4mWbYfcRxD/+1OjaGjy9exPTMDH786SfcuHEDYeq7Z30HwHZnI8QxZEnC+vPnfMzlHl4eTNOEFIYQZRlhFPUmhBKbzLQtGoaBL774Aqurq/j08mW8c+4cD1aHwabC82q/DSbzsamgy+x24dj2UO1VIXGMJLeW/UkjGYy9MDLWgZi/tGWzbJRr2t/bto1vvv4ac3NzOHv2LBRF4RrzabiuO9DHJilQ2y+TXAu7V01Vcf7993H6zBmsLC/jyy+/hGmaPZ9hkyn5PaW+p0I+j+bmJhqNRt9repnYNRlWx3Eg0gUxpuVijtQujH2FhmHghx9+QKlYxF8++2xnY8NodlWSpL6fY5No0sbUtSyY3e5IYvfJY/Hrz8pysnuk4xm55Afo85hwmswA+O6NvYml86mhiKzkiS1OcJx8GLd9JTF++uknuK6LTz75hJdiVEWBRRvTkobu2DYmh2RG+nU7M4ebDg4q5TIOHjiA2ZkZ3L17F+v1Ot4+d25LvSFx7dvKPpTz3NjcJJSSvTLjS0MQBIg8D4qqwmLyRlm7dWwFg2EY4ubNm6jX6/jk0iVUE0odSfR7ZhyqyzxMSikLS8vLOHPmzND7Sl5D8pg9DikBJpGTtFfm9GOaoUgGl/yZZe9PbBYjYKvbmR6Db+z6XOfSs2e4ffs2Ln78Md+oy7IMNp0mmWW1R5gsxTaDWetDFMdIbxNyuRxmpqZQrVax/PQpvvrqK3zwwQe8EStr2EJyzdNzOZh08lhhh1Jje9gZXNuGKknw6RjhHr+XSBwkEyZPFxdx6/ZtnDl9GoePHMmuBPQ5X0AVK/J9sqsAekaFJ7G8soKZmZmRuaY91c1E0N1TMQF6pi8mZbXY59lGkdtr0scmjpmsxqQTQsj4O0O328WVK1dw9OhRHD9+HAAdLyuKCFL2GoYhgjDsG+zTGyGb9D4+Nr0mi4KAyclJqJoG0zDw1ddf4+1z53DgwIFt18y/k8S/ybIM3/PQabe3VZj/COyaDKvnulCSpYpBjRGiiKeLi/j6669x9MgRXPjgg8GTOTIeeiazMUwiS0wEeQwry8uYmZ7+7Y1R2MroJHdKzIiZ8+DGKAg9O0ru+BJOjh8jg/s26GqjKMIPP/yAwPe5BhyDrCjcASZhjSDUn9xg9KDPTldRFOTzeYiyjMuffgrf92aHbzoAACAASURBVPHlV1/BMAyEGTOTe36DKIKqqnBsGzZtzNnDy4HneWQxp88cX2jTC2cUQZIkdDodfPHFFwiCAH/+85/7BquZxwCdfOc40AdkVwHwxTt5BMu2YRrGjsrOyacy017ZxpNu4nrsNW2rrCSYrGTQ++SORhC2S/OkqiRpLCws4PadO7h8+XJPVYmNag1Sguy2bQ+XBEwFLEn0kwMqlUqQBAFnzp7F4cOH8fU33+Dps2c8I9zvnti1er5Pmvf28NIQRRF8z4MoigjCcGszn96A0WAsCAJcu3YN9x88wKXLl3GkT7A6CLZtQ8DgKW+iKJJu+JSPXVpawv79+3d4RoIen5dIEAkAp6T0+Fhmo0j4WmavwJZfTdrwgPP1g2kY+Oabb3DyxAkerDKoVO80GXjy5qhhcUYfKk8/qlGRTg2tjo3h448/xr1793D9xg0EQbAt1snavEqKgmazOZC3/LKwKwLWOI7huy4kQUAQBFulxeTiDpJ9DKMId27fxi/MkI4eHZgW7wfHcTJlNtIQJWm7MS0v79yYklniPm/hD8Bv5MONcoyk0YVhiH/+858QRREfXby4rSzYzwE6tp3ZjJVGlgPkzWVZDrBYhCgIsF0XF95/H0eOHMEXX36JxcXF7b9z8tiCAEWW4bjungN8yfA8D5JA5FdkSRoY5Dx//hxff/01jh07hvfff394JSTjmfAofWdYhpAFVEmbXVlexszMzI7KgD1P2YC1JYpHkNkbAf0yV/3O/PjxYzx48ACffvopihkNT4qikCx44tptyxppElzmekrtNcsh53Qdqqqia1k4dPgwPvnkE9y7dw8//vTTtjUj655EUUTzFZUY/13geR6pYIJ8/9uaIyniOIZj2/jyiy8QhiH+/Oc/o1Iu79gnhVR6TsuQnkuC+ZpkoGQ5DtlgvoA6ANDfZoDejOuLYtDxhT7vabfb+Pbbb/Hmm2/i8JEj2z7HkkJJe3GGDObg5+yzyczKsAJkjSwViwiCALqu48+ffQbP9/GPf/wDnU5n+/uTx47JUAmLjvT9o7ErAtYgCIAw5D8yn2SVMqZWu43r167BMAwybYllaYY8fOlXgyAgIyRHeBiklD6h7ThodzqYTKgDjIQhpT3ylu1ZR1KeSO3w6OH68XT6Ivk90b8HQYDvr1yBruv44MKFvobMHCC7xiiOSTf+CGV3niVOgNEWss6nKAryuRzsbhdBGOLw4cO4dOkSHjx4gGs3bvQ4YSFllKIkAWEIwzCGXtceXhyebUMWBATpuePJ3zOOce36dTx+9Ajvvvsujhw+zLOSO4VDKzADm4YACJJEgqKEzS4tL2P2BbM1wGAbYw1FW29OVTuSG+4hx8pCln08ePAA80+e4NNPP+1bRlf6OMCRGiUyuKwRq270WR+KxSLiOIZl26iUy/jT//pfiKIIX3zxxbZqxzbuuSzDMIxMDt8efh94ngcJdIwwHYiThXt37+Lm7dvYNzWF8+fPE0ml1HOcRtYGh6nv6MM0ygWBKBYkPv8iG8wkhtlrz/M9wlrUT3UkC2k+LQA0m018f+UK3n7nHV56T0OW5W08VsuyRkoIAdlUKEYvzEKxWIQkiugYBiRJwvn33sORY8fw9VdfYWV1deC5VEWBQ8ep/9HYFQEr2/1FcQxJFEnQkXpIbMvCjevXUS6XUcjn8dVXX+Hrr7/Gg4cPYe4wOPE8D3EcD82uAuCTrtjVrKyuYnpqasfCw1wiK+M1ZhCs5C0AveU0FqSy60h9NzHACd5Jztu28jl9HzuG7/v47rvvUCqXcf78+YGBP3OAbBKK4ziEWzPK95CxA2R83n4GVSoWIYgiOt0uoihCuVzGn//0J3S7XVz76afeoDVdZlQUtBqNV1Ky+HdAGIaIfJ9vKDMzpjEZMygrCib37cO9e/fw33//O27dvIn6xkZ/ubMMBL6PMFnGHACJlgDZb+84Dlrtdo/83MiI+6sckJcJnzxpr0kOXJL3mrzbHnsNwy3Oa8Y50tI49+7dw9LSEi5/+unAbKksSRBTNB5nBAoPP2+at0f/289e87kcVEUhgSdVI3j//fdx8NAhfPPNN+imnFvynliz5B6N5+XBcxzIAmmQVPrQd5aePkWz2cTkxAQ67Tb+67/+C/+6ehVPl5b4ut8XqY2q67pkktMImseiIPQ0Si4vLb3QBpNvhrPK4/QPV6yIY74JSzcfx2l/y7jo7N8GrV1Cb6PpxsYG/vnPf+K98+eHcj5VRUHg+/z4juMMDfh7Tp1xz/02JqIgoEizrLbrAgCOHD6MTy5dwo3r17GcaHgWgB4/L4oifM97JQHrrmi6CsOQLMxhCDnjB7IsC998/TWOHD0KTdMwNjaGQqGA+vo6ni0t4auHD6HncpidmcHs/v2olMu9P14yqxPHfAzrKJ29EuW5hHRnury0RLTndgjeeZfBgeH/ntB03GnJoofXSv6h9/8T74vjGI7r4rtvv8W+qSm89eabfXkwDEkHyHZYozo/IMOY0pmpFNh8665popTPQxRFSLKMjz/6CP/817/w048/4v0LFwh/MHmfcQxFktClM5pH2ZTsYWcIw5AEaWEIURAI3zlBRYmjCD/++CM838c7584BoojpqSl0Oh0sr6zg55s34bkuZmZmMDszg9q+fXxSVhYcqlAxsPmAQkiVGFdWVzH1AhvMOMGX7uegkrIxL2qv9H/62iuoFFQYhrh56xYaGxv49PJlqJq2pZWYfQKoVG6MbQ67ljVSiZFfUwJ8bRpwn8VCAfXNTbiex8/zBtWX/Pbbb3GZTsoTgK3GUpDsktHtwqWOcw+/P8IggEh/wx46AMWzxUXcunMH7733HhzPw+GDB+H5PlZWV/H06VPcuH4dtclJzM7MYGZmZmBlzfd90h8yYPhHEhLtXQFIJaXRauHiC2ww2TM6SMs8KZ+1E5sVUgE5+oxs5xXIKMLa2hp+unYNH164gMl9+wYHuiCVZVsU4QcBaXS2beRGbUSkSaFkZSmi/QP9UCwU0DEMWKYJjQ7rGatW8fHHH+P7779HFMc8I8ya1gDye4miiHarBRw8ONr1/U7YFQErW5BFWd6ScKAPiGma+Pabb3DyjTdw+PBhPHv6FEEQQBRFTE1PY9/UFOIowmajgZWVFfzrn/8EBIEHrxPj4z0Bjef7iOJ4JOcHkBIjQIzBDQI0Gg0ivZSBpIPLGt02rCT4e/BrhpU4BBBaw9dffYUDBw7g9KlTW5+jhsje15PNTTnAkcuL/MS9gWVIg51+iEA6kLu2DdtxUMjnSXAgy7h48SJ++OEH/PjDD7jwwQeEQM+MlZZ7XMfZy7C+RAhRhCAMoSedEg1Wf7h6FWEY4uLFi6jX63BdF4IgoFKpoFwu4/SpUzC7XazQ8YHGTz9hamoKs7OzpHqRHO0aRfDSQ0QGQBRFQNgSwF9eXsahQ4cy35vc5KQDNNaQMSgT/HuMZU1vMPud58aNG2h3Orh0+TIURent5k1SiBJBrCLLsGlVRJFlQuHZwSYzOZyDcYL7Zcxi0NnooggrERjHAI4fPw4R2Apai0W+cWbn8X1/L2B9iRDimDwHirJtg7m4sIA7d+/i8uXLAACnXueNWUcOH8bhQ4fg+z5Wnz/HysoKbt++jWq1yn1snvJUucao50EEBkseJiAmkiWrKyuYmp4euMHsa5HUBwyyxt+Dcz6o6sJeX1ldxbVr1/DRxYuYGB/f3qhFN6nJAFOWZUjJpJDrbpfoHIDkOhDRpELfpFxM1A80TYNl21v674KASrWKTz75BFeuXEEUxzh08GAvtSkmzZfpqskfgd0RsMYxAvojicxZgQar336LU2yiBkCcEfuRWYAniqhNTKBWq+Gtt95Cu9UimZzr1+H6PmanpzE9M4OJWg2u40AUhB0ZExsJuvr8OWqTkz1Cvlk8zEEObGDTVWIBf2H04YUydC0L33zzDQ4fOYKTJ070vphYOJLOnBm4oiiwHYeUESxrx8LByUUtjKItrnLy8rGVhdZ1HZIowqKi9CzgFSUJH374IX744QdcvXoVH9CglQXYgijCsyz4vr838eolQKAlPAHo2WBGUYSrP/yAOI7x0UcfQRJFSElZuMSiVywUcPLECZw8cQK242B1dRUL8/O4fv06Jms1TE1PY2ZmhstCjcI3ZxCp4/KCABubm/jggw/I6ZG9mcwMFkcIQtndvMyANQ5DXPvpJ3RtG5c++aRXRJxlZbM4doKwxYsLAkRhCFVVd+SsOTcxUbLN5MoBXIs3n8/DNM2tqVr02o4ePw5BkvANDVqLpRIpWVJHKQjCjqlde9gB4hhBECCfzNgJAhbm5/HLL7/g08uXUSqVSBDCqAOJjZGiKDg4N4eDc3MIwhDr6+tYWV3F/fv3USgUMEWrJYVCgUgK6vrIdiFSKcsYRM5qLsHz3Annux+tpudriKKhPPhhSJb8t12DIGBpaQk3f/4Zn3zySd+As0ctJJHxVVSVy/eN2iTZc35sUR8AZAb+jJIEAPl8HpZl8aQQQ7lSwaVLl/DdlStAFOHQ4cNbGwKaFLJfgXbyrghY4zBEQHd/7DHwKL/y9OnTOHz4MH+vJIqIKJ+m5+FkPzqAarWKarWKs2fOwDBNLC8v4+69ezANA9XxcczOzKBcKo304DKZnCgMsfb8Oab27dsmczMKGG8mK5vDv4cBJOlRMSggNgwD337zDU4cP57ZqZiJZOlOksgOMAx7siijgk0N45mVdLYmwR9iyOdy6FAHqMjyFpdOkvDRRx/hh6tXceP6dbz3/vt8IRGpooHrulwPcg+/H+IoIhqfigJZUXiW4PqNG0Ac44MPP+QLpShJ/cd90mc9p+s4euQIjh45Atf38Xx1FUtLS7h16xbyhQJqk5PI5XIDp6olwZ7R9vo6xsbGICWem50GlwMrIgmJnBdGgnOeRhSGuPrjj/CDgEjNjcgXJ4eNOb/Y8zz4YThSg2T6WGz9C/tM4Es3T+ZzOZimCdtxUCoWe74/lnT47soVfPbZZ4T+RddElpndw8tBSLmRSTrA89VV3Lt3jyhNFIsAiH8VacCKtL+iCQ1Zkkh2dWYG0bvvYmNzE0vPnuHbb7+FKEkYGxvD0SNHeOZ1GFifiB8EWF9fx7vvvbfj5kSGYWX3QcHmjs7R5xgLCwu4Q6XmstQ7+hyQX5tMfWIURXBse0cbdWBrvDLrh0n72GQwCwC6pkGWJJ4USqJULuPSpUu48t130HM5TE1NbflfUYTjugjDcLAE6e+MXRGwhr6PKIp6uo2vX7uGmdnZnmAVACRZJg6wX/CX4mKWikWceuMNHD9xAs1mE4tPn+LZs2e4c+cO9k1OYmZ2FtPT09u4jskHXxRIt+3a+jreYCX0HWIUh8kI3r8F/Qyy02rhu++/x5mzZzE3N/di5XJBgCTL8H0fZreL2dnZvjIe/T4viiI8ylfqUUNAdvk1n8/D7HZ593HytxVEERfefx9ffvkllp49w/4DB4BE0L9T7c09jIY4DBH4fk+H+rNnz9DY2MBnn33WE1ix8uNAvmUCmqLg0MGDmDt4EK7j4NcnT9BqNvH555+jVCxidv9+zM7OcgfLrylZGRBFRL6PtbW1zHGhI4OW7PpWRH4HSkC/gDUMAvzrX/+CLMu4+OGHA8dfDoIiy3A9D+1Oh5Ti+Wn7O90keLNoFPU4v2QlJAlVVXklppT6jQAStJqdDq5fv44PP/yQPxeCIOwFrC8Roe/zrHtMg6Fr9DdI2pJIVTb4xLIh/lUUBOyr1TBZq+HcuXN4+uwZnlPuZhxFmJmdxezsLCYmJvpueNh6/f/Ye8/muLI0Tey5/qZPAAkgDUECJECArsgiy3UZ9nSPtidWow1JG6vvitjfM6P/oG8KfVJIsRETO73dVUUWWfQeoC06JDzSXu/04ZxzcTPzpgHJKo7UeCIYJIHMazLPua973ufd2tpCOpt954EvwxRI2Hr9IDJ0MXvn+bNnePr0KS5evIhkMvlONpY1N5u2DYPKWu3XxobPW+zZ2CgVr/vak8kkGiwp1FV5zmQy+Ozzz3H9+nX8/R/+EFIpeY7723ZYw+YNAM+fP4eu6/iclvKiEAQBDtP/6vfAZQs3uoDpa+dmZ5HNZmFZFsnkrK7izp07mBgfDzeXIssdD3RBENBoNsHzfI+h3A9GKVe8V7YG8YaotruLK1eu4JOzZ1GpVHq0EfcDUZJgOQ6azSYWFxdjuXQDjWGknMwLQl/DxyBJEukiNs09GbMIBFHEZ59/jiuXLyOfzyNF5XUAHHQd/0rwqbwZc0zbmoa79+7h22+/7cmCsteEJeJh5feIA+e6LiYLBUJdCQJsbW+jWq3i+++/h6ooKJZKqFQqyOZyHYaKPUc2Njbw2eefv/N9Dq2IfADOedwxHMfBlStXkEwkcOHCBRLMMVWGfUIURXAgOpDpyN6IUoeGOa9sf7LvsjtL041kIoFGqwWbTkLrxqnTp/H999/jxS+/YO7IkbBz2/oIuo5/C/B9P2xo5kD6A67fuIFjR4/2TGsUIg5r33URs18BwPU8pFIpfHL6NGRFQbPZRLVaxb1792AaBoqU8zpVKHQ4jWy/bm1tYeo9EwzBAKfV73Li3un4fY79eGUFr169wsWLF5FIJuG9o43lOA6iIKBeryOZTEIQhL1zctxw55UjyjteV7WWNZHG6ignEmi2WtB0PdbGFgoFzM7O4sbNm/j6668BkOSS47qEb/sbNjb/m3BYeZBsmed5aDWbWF5Zwd/9/vexJTBBEPY0AQeh64txaRaXcUIURcGR2VkcmZ0NCeVrq6u4f/8+ctksSuUyKpVKuGh2dnbeK1vTb9xkFL7vj1z2HHKy8J8729u4evUqzl+4gBKdpc7Tz/pdIAoC4PvQNa0ngxI3AaT7jpnkUAAqZzJCFJpIJGA1GrBsO1ZCKZ/P4/jiIm7cuIHvLl6ES6NI+6CJ41dBQPmKAC1b//wzlk6cQD6X63kt66D3PA/iPkYnB0EAi0qnsXNNT09jenoaZ8+exe7uLlbfvsWVK1cAAGW6X8fHxiAKAmzLgmmayMVc06joHqPcjQ/BOe+uvDi2jcuXLyOXz+PcuXPkueF571x54SmPuNVq4VBUKqjredTXEHJcRxnQHxBcMiSTSTRbLRiGEeuw8oKAz7/4Aj98/z3Gx8eRTCRISZiqQRzgwyLwvLApNQCwsrwMADi+uNjzWoE1LY5YEWGIBhwSbZDM5XLI5XJYOnECeruNt6ureLy8jGutForT06S6OT0djhLe3NzEqVOn3vNmB2RY2bV+iIpIJNhbfvQIq9UqLl68SJoaaUPTsAbofpBEEe12G6nu5FiELtfRFNp1P6zHgOd5+EBHY1fs+SQJCuXOxjmsALC0tIQff/wRTx4/xsLiIhnTzvPQf+ORyh/dYWWzuHlBgGWauPbzz/jkzJm+mUye53smTw0EXTiWbQPBnvYqa75g0g+HKhUcqlSIHMXmJtaqVfzlL39BQlUxOTWFza0tHDt69EPccl98EEpAJHOytbmJa9eu4fPPP8fU9HT0Re98fFEQYNk2VFUdrLFHN1eP3BYQGr1RtTgTiQQazSahBfRxeo4dO4bNzU08fPgQR2ZnwQsCjIMS468Cj45Pdl0X9x88QDKRwLE+nGiBNtQ4rouRCn0Rx83zfSQjDg9rqkMQYHx8HOPj46TJstlEdXUVt2/fhm1ZmJ6ehut5GO9ThvxQYA0I73WMSPbEMk1cvnwZhclJnDlzJjz2+55DlCS02+2B1aFoprfbEPqeBy/Y05gdBkEQoCoKDMtCuk/VKJ1O4/Tp07j288/43ddfh1k913H2FdgcYDhcyyKJBo7DxsYGXrx4gT/+8Y99M42iKMIddYhDxHGzLAsyVYpgPwPIPkkkk1hYWMDCwgJM2mT56uVL3L55E4XJSWSyWTSbzZ6M734R21TJfvcBOOfhPqH/vn/vHrap1FyUbzrMSRwEkU6SSg+QBevu9eiG53ngBGHk60ilUtit1WD0Uf/hOC6k3+XHx4naBM9D0zS8B+lq3/joDmvgefA9D4ok4fHjx8iPjeHwAG0vliJ3HGf4iEd2DhADyPgXge8j4LjYL5PneZSKRZSKRQS+j+2dHbx58wa13V08Mk00Gw2UKxWMjY3t25B0Z1l93ycNXb5PeEVMiinKxwsCuIYOIwEE9HR6EhBkH0q7HR6Xo3+bdMTt61oN9+7cwRdffNE7let9DCDHwTbNkfXhukuefhAQTcB9PDQEQUBCVaEbBhnbGvdejsOFCxfwr3/+M/JjY2RS1gEl4FeBT/VtG40GXr9+jT/96U999wLrFHf2mdF3aQlcEsWwNB/unOi5IpmcEydPot1uY61axcPlZTi2jRvXr4eZnPfuDqZ7lf0xKIdL0/W9PcuukwZlrOGs1WrtOaCg+4HjYNk2bMtCs9HAz9euoVIu48SJEx2fZ/CeDqvA8zANA8kRdDHD62eOq++HFJD97NlEIgHTsjo0Wbtx+MgRrK+v48nTpzhy5Ag4jkO73UaeakIe4MPAc5ywMnnr5k2cP39+YPe5wPMkwbMPuI6DgI46Z7zkfmPCVVXF3Nwc5ubm4NAmy8dPn8J1XVy5coXoM5fLI+u4huhyVsPhAPRv07KIfRSEDnpL+HyJPGNarVa4B6L71fN9ojTE87h37x5a7Ta+/uabTpnMKCXxHSCKIkzTxPioznvUxgYBbNcN+0VGhUpVHQzD6Kusk0gm8emnn+LOrVu48MUXEAQB+m+sFPDRHVaPbgyO5/Hm7Vv88Y9/HPh6WZJI406f8nAc2ExtVZJIlzpbUEMWFcfzmJycBDgO1bU1nDt3DltbW7hx4wY8z0OpWESlUsFEodB3cXieF/5hDilzVKMIaBaY47g9KgQX0S4NAI7tf3/vPQB1wOlms00TtXodL1++xCdnz0JWFDQajVCTjXVkIgjIxn0H0XOdSmD4njfSJBPQbGp0eMJI74sgmUxCN02YptnX8MqKgmPHjuHVq1c4ffo0HNs+yNh8YPhUM1mWJLx69Qrz8/MDJeJEUQQvCPsu99q2Taoh0cByhHWaTqexsLCA5ceP8en583AdB7+8eIFbN29icmoK5XIZpWIxtlQdvT82C92hVKI4nrVpmsQZp9zAkGNGqQRsqAX5EdfhyDJD6VgW2q0Wbt26RWgNhw6hSeWd2H7lQWTg2H7db4bIpsH6yHWVSAWENUOyCWKjQlVV8NQADlITOXXqFP7817+GSQpN0w4c1g8Mz3HA8zy2NjchKUpIDesHSZbR3mewbzsO+CDoCDBH2a+SJGHm8GFsbm8jlU6jVCxibW0Ny8vLSKfThJpXLvftuA8CouDjeh4c24ZNJdziKni2bcO2bdKjErWxkf3Krjla8g+wZ2M9z4PlOHh67x5sx8EnZ87ApHaJKdTwHAeXNiOFzvF+bCxHGhD3Ne2LBdPY02Ddz7AUnueJwoeu72myxqBUKmFlZQU729uYnJr6zauYH91hZaWH1WoVEzTVPAiyooAHWXyjcics2wYYPzRKXGaLaMjm2tnextj4ODKZDKanp3H69OmQUH7/wQPomoYi1XodHx8PdQlD4joiHYoc6dTkKLeMLXK2tVLJZE+XpKsHsCP9CAkTEGw+VrKJlVq++fprpLNZBNRBDiKOsuM4cCMZL57nw401ilHUaLnCdV3II9ACGO2DoxsZQChhNqoRVVUVAs0gD8oUlctlrKyswNB1pNJpuPvkTh5gMJiBsF0XtVqNTEkbAlVRiHM3IhzHgev7SCrKvpqDGNqaBgQBcrkc8vk8js3Ph02WVdpkOT4+jmKxiKmpKYiSRIweDWwZfGp4BTrljY/sV/ZHGNKIyY7X7zXbjoPHKytYWFzE3Nxcxz4N6N+u58GkwxcAhEFtaBCHGMV2ux3u12Ed2EEQ7AX1oM1vNOjjOW5kGg/P81ATCWh0tHK/54ksyyiMj6NarWJmZuadm1UO0B+sovXy9WvMzc0R/uGAfcRscBg0DgGbnCjQ93VnOUfZs9s7Ozg6N4fp6WlUKhX4noet7W2sVav44ccfIUsSSuUypqenkUql9hJBkSppAFL94an8Ih/ZtzzPh5SFfC43NPjqt19t08TDhw8BAN9+/XXIDfbYfqV/HMfpyFKLPA9eFDv2bd9rCAJouo5kMkloR0Mcz2gfCGtWDThu3937yWQSbV0fmBTygwAzR47gxYsXKExO/ub79aM7rJ7nwfd9vPzlF1y4cIE0WlBphzjwHNEWHKVkwZxF27IgUs5FbKPBkMW7ubWF6WKxY3Nks1mkkknMzs6i2WphbW0NK48fEymliQlM0QYRVVUhUAHvqAPbDdYo9D58tRfPn+PF8+f48quvMDY+3vd1HjXOnuvC9X3CUfO8jrnjPM9DFEVIohiS4hnarRYmCwXisHYbwAidIeqohud2XaI3J4qhIRuFFweQRjl9gOPj0mPPzs7i5cuXOHXq1MG0qw8MFmD+8uIF5o4eJQ4VUwDoA1mW0Wq3hz58wxnaloUgCPbUOihiHdcYg7i1uYlCodARJCqKgkMzMyiWSjBNE+sbG1hfW8ODBw+QTqcxNTWFYqmETCZDxhDTdTlw/Qzgy42CZqOBa9eu4ej8PBa6h3hETwMgYVlw6bMyzADb9l4TBsieYn+ixqrVbiOVyexpa3ZfM/2MQ2c08nvf8+AHARRBCH8/SgMpQParpmmwKee9575oVeno0aO4fv06KpXKOzeDHqA/PM9DbWcHPM9jfGwM1pCx2oqiQKB0lUEOK1sDjusSvrmi9HBIe3oYYtafZVkwNA25XI40Z9KqzNTUFMbHx7GwuIid7W2sb2zg2rVrCABMTk6iVCxibHyc2CjK0R24ft6TE+65Lq5dvw4A+OrLL/tWaRAEUF2X7Fe6V11qc+3oZCuehyhJEAWhQ0FFNwxI9Oee5/WOrY7SjmJO73oeREEAR4e2CCMGmrIsg+c4WI6D4I2lbgAAIABJREFUfikh27YxWSjg+bNnqNVqo9MWPhA+usPqum44QaowMYFmu02aegZkAmRFQZvyN+MQRB7AvueRbE0i0aMhxxBdvt2/9TwPOzs7OHXqVDg+0HGcjmyMLMuYn5/H0tISPNfF5sYGVqtVrKysoFAooFwqoVgsEpH1PgtnlFndg/D0yRM8f/4cn54/P1R6izVDiZLUuQBoNsf3fbiuC9dxYNPAQKQOrCCKaLVayOVycKPGPEpPGPBg8Fw3pCcwh4IpBowyG103jL6Rv2VZQBDg+MIC/uu//isM03wv8vsBeuE5Tujw/ekf/gG6psE0jP4lO9CMDTWA/RyX6N+O40CiD9wgxgAN43dubm5icnISAcgY4iAgk/TC8aIch0q5jNnDhwGOw+7uLtaqVVz7+WckEglUymWUyuWhnM/3aZKs1Wq48tNPWFhcRDHaEBl7IqIdKcacizmwruuSCXQ0oON5PjSEzUYDuVyOZF+oQzDM6DEwB4AF3SyDNEqgKQ/53h06Jnt8fBz5XA6rq6s4cfLk4M/iAPuCTxMSv7x4gaWlJaiJBEyqvtGvZMy0QC3bRj/p++jacehQAvZ9D7KxHb+hzuvW1hYmCoXwnGEVMJK9y4+NYXJyMuRNrq2t4cnjxzAti9B8SiUUJiYGBlPv0yTpOA6uXr0KWZJwfHFxaPYyrILwfEfVOAhIDwdzYE2qZMOB7DFRFFGv15FOpcDRKXWiJHVw5OOma0aPz6ba8ZSGxBooWaPYoGuWZRlOH3Ud3/dhOw4kUcTC/DxevnyJo6MOIPpA+PgOq+Pg1cuX+N3vfgdJliGJIpnwEDc7nH7YkiTBow/q7oUT5ZpxIAsNlFsT8sgGINxYbDNRbo1t22hrGpgeoSiKJArqymZAljE7N4fZuTk4to31jQ1Uq1XcvXsXmWyWaNGVSj3GMJz+tE9+WhAEWFlZwds3b3Dx4kXYjjN0zjEPxAuRU7oCuQ0yhcbzfTjUGJq2DavVIt2HIN+dSwn9sQ0xMXCowWREdjaZa1jpiAOhBYDKW3U7rK7rwvM8KFS4vFIu483r1wcZmw8M13Xx9u1bzM7Okgyo70OjY3Bj6TwBUeYQgFjHpdtpYvs6fF0fA8jQHWwGvo+1jQ0cnp1Fq9WCQ7VAJVGErChhxSCKUqmEUqmEc75P5LJWV3H5p5+AIMD09DTKVC6r+3kUFT3fD0KpufPnkc5mB+5XeqK+hpiVO9lnHwab9I/tOKg3myhMTsJ2HAi2TaYFjpgddj0PATr5cOxaAmBg9kYQBDK4IMYAsuwqzxHdyfnjx3Hr1q330og+QC9c10Wj0YDlOKiUy/ADIhdnWRZJ4nSBJQ9kWY6VBWTfdDQRYNs2KXnThuhhTlF4LPrv9fV15HM5aLqOIAiIlCTPkylM1M5G3yfLMvJjYx1NlivLy2g0GpicmkKpVMI0lcsadP5R4dg2fvrpJ2QyGZw4eRJWhJ4ThwDou6fDRBF7VtIKFftjmiZ2dnaIlit1atUu/vmgc4cBJhvYwvY5dXT7BZrsZ4osw7Ss2KoZSwgpsozDhw9j+ckT7Ozs9L2WXwMf1WH1fR/NZhMAMEZn7qrJJFrNZmyWlX3MCtVmtCJ8xmhDQxQ2JZwLkazCsCUbBAFsmk2trq4inU6Dp53q6WRy5HFpkixjZmYGMzMzpBtyfR1v377FyvIyUqkUSlT4PJPJjFwW777Ohw8fYmN9Hd9dvAhZkojDOsTxYxnWoeekPBhBEABa7nm7uop0KgXf82DqOjzPQzKZDJ33QfBpSZJ1a7Mxct33FLepAsolFAUhzPpGwYwiK61MTU9jeWXlIMP6geE4DnZ3d0NBfkVRYBgGTNPsyz+XJQmCKPYYwDjj5jjOXlYWGJnnzDhj9Xo9dOBkRUEikSD7d4RAkOd5FAoFFAoFnDlzBru7u3jz5g1u3bwJ13XD7uWJQqGjmWo/YFJzn332GaaLxbAbeRD282zgaac2C+hs20aLTrnSNQ2WbYdNc+IA6hUDax6JC/Y5kOzNoO9IkWW0YnistuMg8H3SnQyEU+xa1B4c4MPAdV3s7u6iXCqRrB/HQZFlWKZJSv8DuMXNru8i2lHPwATk9zv21/N92FRFYmtrC4snThCFgSBALpsdmX+ZTqexcPw4Fo4fh0bHsP/yyy+4efMmpqjzWiqVIMvyyEFaFLZl4dKlS+SZ8Mkne8HXsOOMep4uB9b3fWiUHuG4LkzDAAeEwfawZuUwwKR7NmpLB9l89jtFVcG1WrBsu8Oe+zRxJUUqLZMTE9jc3BztPj8QPrrDurOzg/Hx8fALlihv0qQ8jrgNJcsyeCB0WPtFdQHIg1Fl2TiOdAL2+9KY0WPcMIHn0dZ1zBw6hImxMdTq9VgtwlE2AZPLmp6ehk/lsqqrq7h06RJEUcTk5CTGxseRHXH+cIAAd+/cQa1ex8WLFyHJckiAHjr+dT+IcFKDIEC9VsPExAThG9FsGOu+5DkOkiwTJYeYjcUargY5ttFNFeVDMbqALMvQDKPDADqOQ4wwK4MEAdKZDHRdJ9qtB13HHwyWacIwzXBIAMdxUFQVhmHAdpwOxYDoWmMjQoG9bHrcPnRohSBcIwMyrJ7vw7Is2FSzlQOgaxomxscxls9DaLXIz6mzFQZrI97r2NgYcrkcTp06hVarhdXVVTx8+BAabbLM5fOolMsjHg1YX1vDzZs38eVXX4Ujg1nF5kODORaapiGRSGAsl4MkCGi32/A9D7rrAoYBWZIgyXLsngxoOZnx1JnET/e3EeXRdv9bofStqLyVT50V1oAKeq25XA7rGxsf/LP4W4bv+6jX61iKDAlQEwlYtg3DMJDublyOVDF9IKycsOpFN1jfAwuQBlUxWVbdsu0wk86BcDYPlctwXDfMsgZdgdAwGxsEAdREAnPHjmF2bg62bWNtbQ3VtTXcvXsX4+PjGBsfx/Qw+k0EpmHg0qVLKJVKOHnqVIdtGsXmD9KEHfT6Wq2GxcVFKKqKWkCk8UzThAmEfSVSXAUapOrJGs2A+KQQO1dcYihUYbIspCJVYJPS62SalQ8A5PJ5bP0tOaxBEKC2u4vDEZkNDkTvq9lsEvHcdHrvi6HGS6BkZcu2B5Yg2Mz6DnJ0jAG0KC/PpfxKWZbD0nKLihkziRnXdTvKmh0UhGELmvI0eZ7H1OQkpiYnydSeWg2vX7/Go0ePsPzoUZh5HR8fj80M+RzwbNKC22zi22++Ce8vvKsBBrDbeMchLM/HOOa1Wg1zR4+C4zioigLbcZBOpwnflWalLcuCTDNc0UjZo/pwzEAzbbt+DglPOzA5ng/LR4qqQqPOkaoo8DwPBpUUkSNZOQQBspkMqqurKO3DqTjAYGxsbCCXyXSUwhVFgWPb0Npt8NksaYAAOr5XWVGgUVm3flyqAIQ2oET2a9w6dalEHAssJVFEIpGALEl48/o1JiiXTRJFuJTTyUWPxzhdESrCMMOSyWSwtLSEpaUl6LqOt2/f4vXr11h+9IjQBsplFIvFvlnm1bdvcffuXXz9u99hLNKoMMyoRRvHBryog1oRfV7WajWM0YBNlmUoioJUKkUyY7YNh+5bQRCgKErH9bNsjRjZwwM5gkCoJMBoAoqigOPI1LmEqiIIAhiGAc/3kaLJBvYd53I5bKyv97/PA+wbnueh1WhgIjLylCk4GIYBUxBi+cUKa8CxLIhMqioGtm13BpgxYDQE07KIRBrPI6mqkBUFtVoN+Ww2PAeHzomPbL+yPRDXhBkFW0uyLOPIkSM4cuQIXNfF+sYGXr16hWfPnyOXzaJMx7D3OOwUuqbh0uXLOHL4MBaXlvZ+MYoTSu+DcUjjX9KblAEQOvSsD0WWJMiU0mS7LhzbhkEpHbKikAb1yKCGUadlhnQ8amOjkGW5o6ndohSBcChEQBQRctksVpaX9+2Yvw8+Ooe1VqvhbGQcG0tnp1MptDUNhmkSrk3XhpEkCTqNxvrBHbCZWLRnmibROOR5IikViVwM04TjuiHtQBLFnnJ09xfV3cnMjGLoyNIvPPr6ifFxIqY8OwuOI5qvd+/dg6HrKJXLKI9PAjzA03X1ZAHwVeDbb77puLcod7cfGPes+z09mac+UVmtVsN5agAFQYBPPw9JliHJMnyqU2dbFmw6EUmhXCQ3hnMs9IkAO641sqEUqnnJ9PR0w0Dg+0gmkyFXh91TLp/H6uoqLrzHPPkDdGJrexvjY2MdJS+O45BKpdBqtaC128hksz3cToVyorsd0ihYtqbD6Yscx6GBpU0DS0VVoXaVNXdrNSydOAFgb9/7ntcxNCDq0HVw1rH3IPcje6l7dSaTSczNzWFyagqyJGFrawtv3rzB7du3MTExgUqlglKp1CEhdffePXzzzTfIUeoTwyjc7ejv+wWT3fcTfh67u6HDyvae53lhVlWljqtl29B1HTzPh45rBx+OnYLngQG88JDPyp5/HFV1oaVUk6odJOj3Fj53ggD5fB7Pnj/ve+wD7B9bW1tQVLVzz3EcVFWF53nQDYNwjWkWlUFWFPBBMFBGkFUwu4O0UOqJivVbpkmcSFGEqqodr6/XamEFjNG5XM9D9AkRqzrQJ1EUB1EUcahSQTqdhkjHnlZXV/H9X/8KVVVD5zWbzYbH/+GHHzC/sID5+fnOe6bO6DAEkX0QG0zG3BsA1HZ3SYMk/bkgCPCoHJ1KJ8i5rguLjp5m46sVSnlg1LmO4w9ICjFnNdrwrMgyDJrAA4jDKvB8xxryAtKbIMkytre3iV79b4CP6rC2221YloVsZN43B9IQJMkyVJpJEQShp9QoyzJarRYsx4HSJ6th2XYvTysIoBsGLBrtidQ5jpPSqtfrHc0WoiDAAgbqCob30ZUVZouBifp2g0Up2WwW2VwOS4uL0Gg35ONXL9D8kkduhywujwe+XPxkz1mlx++YkhWTRWLEa7Z5OqLVgXdD0NY0iJIU8pUEQQhFzVkWhhcEJAQBqiyHjqumaYRzvA/t3PC66OfGIm2Bdj5bpgmRcmmSiQT5PiIOKwsEVldX93W+AwzG9tYWjp092/lDjmgeptJptFst6DFjQBVVBQ9A1/XBDmsQ9BhAx3WhGwZc1wXPcUiqKjle1371gwD1eh156hQyJ9V13aFTrrqNYrSxKNwnXWsxCAIoikIyObOzcGwbm5ubRJ/5/n1kMxkIFtmz3337LTJsTjejRND9yhw2hg7TEuxxBplMXD/jE4fdWg1HZmcB7A0icH0f7BPmOI7w42QZruPApKViyzThRPir4Wczwjk5jgMi5UZVVdFoNmEYBikx00YacBz4yL1lczm0220ybGCA7NIBRsfq6ipyuVyHDWJIJhLwHAeapvUEmRzHQaL8dPShVLl0Alr34BDP86DrelgBUWQZqqp2ZOoZdinFjJ1ToFXMYYjL6LG92kPZo7/zfR88x2F6agrT09M46/uo7e6iWq3iyo+XEdgexniy7haXljBHO+CjTmpHwNjtKNN/e1SiMkBkL8cEk3HYjVREgL1R6FEw6TrP88KKJgsIfd/vedYNc+iDINirytJnGkCoGgw9zbL0eGP5PF69evWbOay/3qDtEcDkG7oND/u/qqqQ6Fxdp2sRJ6iT0m/SgkdFt6XIl2dbFurNZugEZ9Jp5LLZeEUCkOgvH8mIsO729+k8F/pkUzokN+hiSKZSODY/j++++w6///u/gz4pwfU81Md43NHf4uWLF2H0yjZqNIrrzu6CRVuI3/DDUItka4A9Yrcf84DhaJdnJpOBqqqEH0xLGV5XCWLQZmIyOtFMFJtTzoKV7qwtI9dnMhnUG4193+cB+qPdbiPV5Yyyh4goikgkk7Bdt0MvNwBZD7KiDJyM4jgO0Q+k37Pnumi2WmhTDddUIoF8Lkf2fsz6bbVaUFU1NKBsMMd+x8ICiJWZY7zQaAYWzDAFAURJQqVSwWeffYb/7uxX4B/voLq9Ad/zcPW//YDlR4/QaDbD17NJUuwzAkiwHt0PQZcTsR+4ros2laBj7xdpxqYbHEf455l0GkkqqWPQwJ5RqxiGBevs/lipUlEUeEGAVrtNOM+M7xh5DxOzz6TTqNfr+7rPA/RHs9lEMpXqcVbZ95POZBAA0NrtjmqbHxBOqOu6PbaXgTmsLMAMggC6rqPRbIbT1XK5HNKpVKyzCvTaFEkUSXPuOyI2GYTOCgq9WPAch/GJCSyoU/jkBwOVFRNVqw7f8/DwwUPcun0b62trZHIW9j6XkKfbbbfYz9/HxnY5rGwUfRx/WBAEJJNJZNJpyLIM0zRJUEipkgzDlExYEMyqOZIkQeA4tJpNUr1MJDorx0BIbcxkMtjd3d33fb4rPmqGtdtBi/t9KpVCs9lEu9VCJpslkiwgGVhZFKHretgAEkW0wcdzXWiGEUowpaI8uwHYrdUwQ0cGAnulMdd1Rx4L2x3xRY1U9+vCBd99L66LW3fuYHKmhNozDf/9P/57rK+vY61axd379zE2NoZyqYTxQqEjwxpEj429hQmO6yizj4rd3d1QzQHYy9gMcuA5joi2e1RcOgARMlcpn47juIFcH14Q9jYrfVhwHAfXsoBkslPeKrKZgshrD/BhMegzZd+1oet73z0NxhLJJHZrtXg5OpA9q9JOYaY8AI5DiqpQDPsua/V6z1hPoY+DNhAsq8ky9pGfMwcydGi730r/Xr50G80U8NldHlfPBzj80IY+Y+DSjz9CFEVUKOeVNSfGUXVCOkIkq7ofvli9Xkcul+swWIIgdAwIiYMkioCiQFUUcIIQah8nEgkSBAx4b7SLPKAZLY7j4NAxtv3kwVgTCA727K8ODnt7mBcEpJJJtFstaJqGVCoVrsNkIoF6vU4aV2OagVnFg6NNOhqlZ6myPFDnlcFxHOi63jGxURRFwLJinxGDEET2bHS/hpXNPhUM33TQ+j9uoZ0EfjnKY/E5cPcoj9/NnMSWYuHR8jK069dRLBZRLpeRSKXC8bPdNotVSqJ+zX72axAE2N3dxdlPPgl/xpJCru9D6vN58pSHbFoWfN+HaduwHQeJLvpFP4TVpMgzxvd9GLaNSVUNA9ToXUQD0t9yv350DutQDhfPI5NOo9lsotlsIpVKhRIQajKJWqMRu7hd10VAu4gtywI4Dkk69pTjuKFRHFs8n0QWDxth2s9Bi3JIo7wV5kCxY3RnGNl74754x7Zx6fJljOXzOHfuHJ48e0bksg4fxszhw/A8D5vr66iureHho0dIJhKYOXyYEMppJqyD98O4KhwXStKMuuBqtVqPsLcoij0ZmLh7cz0PyUSCbCzT7NhULIrs994odF2H47rguyQ+omXVqFDyu+hkHqA/+pWXohzoRDIJj8qzuK6LBOXAJWgZXzMMZLuytMyp9IIA9UaDdKTKMlLJJJnYMkLWpV6rdQRUAOHDMmHzYc1N7O847jS9+Y77JT/qOmYQ4MGDB9iAhjMPAZGq4OR2fBwtH8PZc+dQq9dRrVZx48YNuJ6HUqmEmZmZsFkseg4uks3tRwfod2+7u7s9nFmmmex73kCJHJfyz9PpNJHXMc0w0Bw0/ah7fKvtODAMAzythMTtxyDyHBpUbTnAB0RkLUmyjGQqhbauw202SaMzrYhIoghD1+MdVtqR3my1SDKI55HMZAgftk9WMIp6vY5sLteRsRejNJ6Y9RmW5yNOVljx6La/0b3EAswup6/9f99DLTCwsgQsPAXG6wCOApmJPMYqeRxfXIRhGFirVvHs+XPU6nUUxscxQ6fmSV1UxZDqQ/8ffS523EPMPjAMAxzHQY3QYdhn4HseMIDW5LouqSrSJnXDNKEZBiTHiW2qi15LR0UnIGNhOY6DJAidDdw8Hz4TgyAg1eJ9OOQfAh/fYUUfPkrkg+AEAelcDq1Gg5QkUynCcU0kwDWb0A0DmS4DaOp6+MHLskx4jpENELeQOt5PO5q7uVTiACHsfpqEozyCg6BXhNw0TVy+dAnT09M4ffp0rGMvCAJKlQpKlQqWNA2bm5to1Ov44YcfoMgySuUyKpUK0TkEeppl4q6vJ5LiyMi7RqPRUa4ASNk1oCNn+y1cNpJWopIZyWQSMp3KoxkGREHY60Ds/WDC6zBNkzTtKAoUSeocm9mVhWL3d5Ct+XAY5ExE5eJYZSQISHcwggAJql8sCgIMXe9xWC3HgdZuQ00kIItiaPgY4rpZu1Hb3cXJSAMngJBi4HpemBkBEGqIjnTPcUF1lGYT+dndu3dJoFtNQLC13gEdHIexsTGMjY3h+MICNre20Gg0cO/ePZiGQQaLlMuYmpwk1YWu98ZN9uq3wndrtR4ZH5ax8QY4rEFAtDVFqrmosIEukUCTDWPovZi9feg4DnSqI5lOJmF1BbZhFpkF83S/HuzZXx/ddkqWZaRA+hRarRZxfAQBiUQCjWYzpGwweL4PzTBIA5eidCSDRkVcRYRl2V3Pg4I+DirQEbhxI1QM4wJMa3kd1cev8PQ4sPQEyEXYY2J5r2qbSCRw9NgxHD12DFvb26jXani7uoo7d+5gYmKCTNoqlzuaLIG9THa/imo0kcRxZOJefmysYz9zHLdXJRqgdctGZrMx6ulUiigOWBZa7TbRpY6pUkWfq0wD1vN9pFIpMrbddYGYADXKld1PJvx98dFlrULuRAQ9WT+6ODPZLNrtNrR2G8lUikzCoCWrqMOqmyYarRZkyqGMS4sP0mMF9rgk3V+wQGdqe67bE62NtFUHZBKj5zINAz9euoRDhw7hxNLSwCx0FIWJCczNzeHcuXNkak+1ip+vXgWCAEU6wm4ionsbey0xP2u2Wkgkkz1UiqgB7CenwcTgo78XRTHcVEyiKJlM9lV0YJlVhVIJWq1WSPsA0GEoPc+DwHFwhmTvD7A/hEHVEEePGZZUKgVTEGBQ3dxUOh1K1kUNoOO6qNfr8DwPmXQ61vD1e/AzeEEQlsCjYOvJc12IkUz+oGNFfxd22XbB73puBb6P27dvo9Vu49vvvkPzxl8xChMvlUqhWCzi5MmTMDQNq2trePLkCa7TMmSxWMT01NTeZJy4641xpjmOQ21np0N/E6A0HlZi7HM8FmBGz9kRaBoGdF2Hqig9RpoFkbZtQzcM0iSXSsGn1S7WsBrNFocjc+n3c+Cwfjj0y1p3O6wsoZBNp9Fqt9FstZDOZIjD2mrBMIxQl5M1N5qmSbSKM5me4GfYfgWIjZ2cmup5nygI8GhVJM5BjUM0ARV7z5FAFQB83caLf7mO5/PAiWUgSye9c4oAwInd80FAemIOzcxgYWEBrutig06yvP/gAXK5XOcky37ruDtRRO3Uzs4OxmLojf2SZFGwyVRhko8GErIkERks24brOGHvT/fn4nkedDrgg2nbN2mFLKyodFWh+Mi5fit8VIe1X3kcQAd/LDQOHGmk0dptaJoGNZGAqiho63qYLWlrGizThCSKGM/n+3I4+s0pZ6jV653ZxIDw10QmVh/9IoegY/P0K+thr3yttdu4dOkSjh47hoWFhZHOwY4RbhKOEMrHJyZw5vRpNJpNrK6u4vadO7AtC+VSCVPFItGYHRQh0QfP5sYGCqybMxKVsU0yyGHt3kx7h+bC8XutVgtalxHkOKJ8wEZ/Mq1NgGTOOpoBuvg3IpUgGzYZ5AD7xChl28jvVVUlJSpdR6vVIt8tx8GkcnWGaUKnDm0un+9fvuqX6aRoNZtIJBKd+z2S8bVjxvn2vcWgk58WWzWJOFa+7+PmjRuwLAvfdEnNDQJ7ZrF9n0ilMD8/j/n5eViWhbVqFS9fvsStmzdRKBRQLJUwNT3d4yT23gBH6Bi+H5Z3o3w6QRAGdmI7rtujv8rAaAKarsOkXEOV8twC+rlYlgXTtiHSDB3HkQEBAcd1GkAK1lXNJujsdzz1AfpjkKoEWw9RPqYgishkMmi3Wmi1WkglkxA4DrquI5VMwnVdtNptmJaFRCKBfDbbk7gJzz2kKrK7u4vjx4+Ta8Fe1UPgedi2TRR1RlgL0S5+etM999zReAzg6f9zBc+LDk4uA2lt73WZ/+EM8Pp6vxMB2NuvoiiiUqmgUqnA9zxsbm1h9e1b/GVlBYlEgtjY6Wlks9nBiRO6d7a3t3H69GnyuVFKBVNOCP8f83m4nkea5GKeOzyV6xQsC5quo61p5P+MOw9in3XqQ7GpgH4QAL4PN9p8Su+fJYoEQYD3G+/Xj+qwTkxMoE7HsHaX3kMjwTiXkQWYSqfBGQZMSvL2aZOHQxt7ZFkGx/ODDccQo1trNHB4ZqZzwkdAxoryHAfHcUY2gEMR2UztVgs/XrqExcVFHD16dH+H6bd4OA65XA65XA5LS0tkhF21iuXlZbSazTAqnJ6e7iv/s7W9jSNHjuyVZkAWMU8zUP04hp7nwff9vlJGADGMmXQaumGERjCRSMCmIslMuirqjIiiCMOyOh66HBAqCgiCgFq9jkOVyn4+wgMMAMdxSNIu7jgZkygPNAo2SrmtaeBcF77rQmu3yZQ0KnOkUC3BAScHF23A60Kj0UA2n+/hZAEIswyjZu+CrudNXMaGHcv3PPx87RoQBPj666/3FSB1G9EoFEXB7NwcDh85Eo51Xl1dxZ27d5HP51Gm1IFEH43Mza0tTBYKofGL3osoCGEJMQ4ObU7tZ4g4jvQD8DwPwzThaVqog6zpOmlKpZqbXMS4c0Gwl6DorogIQqgH2007OsC7Y3JyEltv38b+jgUI3WtbEARSzaS6yjytYpqUwiXwPJKJBKKNN/uFS212Op3uzKSC0BNM2yY0nlGOP8qejjibTy/fxjNvB6ceAak95SbIi1NQv5rr67BG6UTd4AWBVEOmp3HO97GzvY3VahWXL1+GKIqh1utYl4Y1g21ZaLVamJiY2DsPbXAUaLKnX+OVG1PB7AZTQmJOK2vIMgwDluOABxlzy5xxnjrKHuXGRsF6eERRhKZp+5oe9r74qA6rLMtIZjLY3tnBzKFDHb9j0Va/ckAykSBRDqGhAAAgAElEQVQiwK0WdMPA22oVk5OTyGYysOkEl4HcCo6LNUTkdAGajQZSi4uxBlKSpNh59v0wjC/LrqHVbuPGtWs4eeoUcQ73iZ5IM+Y6AOLwHz9+HPMLC9DabaytreHFixe4eesWJicnUS6VUCwWw5GMvudhe3sbn124EB4ryn8NG9FiIttwNvyQrBNPJTosy4JuGGi32xCo3lw6leoxnsyx9jyPOLIR4wd6TbVaDd9EmuYO8H7gOA5TxSI2t7d7Mv+MxuP7fo/DB5A9k81moWsaAt/H6vo6DpXLpImSNu4NzUz2MUwBEDZkxu1nUZLCzuORsp/dx+iTpfJ8Hz9duQJZkvDZ55/vO9PAGk6HOdGSJGFmZgaHZmZgWxY2qNbr8vIy0uk04amXy0hHGmO2NjZ6yq2sWsLTbGecA+95Hml4G9CoASCcCMjzPHRdR61WA6gzHJUWY4gqrHAcaUxhAabv+5AkiQTFs7O/KSfu/++YmZnB/Rs3+mbnAMSubZ7nkc3liBanpqFWq0EQBGSzWaRTKdTr9aF7qS9/E0QeT6XBVveeZfKRbCzsMHS/P243sdc8XX6C529e4vRDIGFG3qOKyP4v50eiyg1s3qRZ0cLkJAqTkzh1+jTqtRpWV1dx48YNeJ6HYqmESrmMAg0oAZJdnYj8P3pOJs8HqrLTfXbHtgcGmOya2UAmg9pX1/ch0aER0eCSQRDFvSpmTIDp+T7qjcY7+Srvio/qsAqCgPHJSWxubvY4rAEiQtl9IEtSmN5uttukUYHjSIdrl+B1HKIOKzMerKTMJD7iIFFOycjSG12lzO5O2iAI0Gg08OD+fZw9dw6Huj6LUTE0g9TlfHMgHd2MUG5ZFtbX1lCtVnH37l2MjY+jQsnkadroFgeRlhgZryUaZDi023PUQQssI2Q7DmSOdD3GvZc91FzXJcMh6M9dWl7keB61ev033Ux/Czh06BBuXL4c+7toJSIOAuVBSrIMt16HaVnIZDLh2hkmNceB6JRGVzib7tJqt1HsE+lLzABSasowdF993I5yHAd37txBNpPB+fPn3ynTNCzAjIMQydawQLK6toYffvwRsiSFv9vY2sKJrgY0Bp4jChoepc6w5AD7jEYJMNn1syYZphSSzOV6nFUA4TOAlS/ZfYfZGkHA9u4uTp4+vc9P5ACDkMlkEPA8dut10rsQQViNGEAbSCYSMJJJBL6PZrOJsXyeVDWDYLQRoBFaQGhjfR9N2tjVD4IgdPYoDDoHYjjpXTY3APDLL79g/flrnLkfQOmihGb+x0/A5+OrFQyMnz3Q8Y+hveXHxpAfG8Op06fRajZRrVbx4MED6LqOYrGISqWC9Y0NTEbG53YcgzWiUd551G/x6X7qNzyp+1pCWUjPg23bkFKpWGcVoLQ7yiVmvUZBEMDzPMiyjHqthonJyYEqBB8aH53DWiqV8Obx476/H8SBsR0HhmmiUChAqNcJD4OS+wdthhBRhxUIN62h61Blua8zKtL5vcwZGwRWOh+E7e1t3Lt3D+c+/fSdnVWAPhAGGc4BDyaAlCGPzM7iyOwsPNclWq9ra3j79i1EScLTJ09QqVSIEHUErFmC8XzJqUi51Pe8MFM7CL7vk+koNDM+MTEB0zQJdyomwypFxvhF78nzPNKIp+vg6HEO8OFQKBTQ0vWBAV0/+L6PdruNbDYbPjDb7TbRcxSEkcrpPDV4ATozHu12G+ljx2Lfw3EcBFEkZfBRHq5D6EKObePmjRvI5XK4cOHCOzf2xSmDdP8+iu5X8oKAqelpTE1P49zZs9jZ2cHa2hquXr0Kx7bx7NkzVCoVon0a2T+CIBAaT0R+h6NOrOM44Hl+pGyxS1UAgiDA2NgYKelbFpFEijGgLLANj+37ocPK8zwa9fq+aVAHGAxBEJAbH8fm5maPwwrsBYH9oGkaBJ5HcWoKTU2DbhjQdB2BP9rM+rAXheNIsEmdOi1mAEkUsiShTc/zTrSD6L4KAqysrGD97RpO3/KgdBVH5RPTUD8bIbER4cT3PeeQ6kwmm8ViNovFpSXodJLl06dPsbW9jclCAYlEAsVisafJUqD0DVYlYT0vNuObj/BdeJ5HuO2eh1QyiVQyCYvS7pIxk+VESUJgGHuTLKmzCpB1tb29jfl99Nh8CHz0wQHFYhE3fvopbMwBEDZa0RfFGhDHcaBrGgRRRCGbhWWaIXFfMwzwPE+kHIY4S3Gmqd1uIxWjO8cg8DzJ5A6RmiAnGGz8Njc2cO3aNZw6dQql9+CCMMd+PwZwEARRROXQIVQOHUK73cZ0sYh2u42/0vnLpVIJlUplb6QfNYBMLDoAwqzLoLKO7/uwbRumbcOxbTL3WlEIX5jnoTHnKMKvAag6Afb0OxmPlvFXN9bXMb+wcNBx/IEhiiJyY2PY3tnpcFh9xmejzmQ3mLMKANlsFr7vo95sQpZlNFstCDwPXVWRUNWhBqrbwAZBgHarNdAASqIIgzpX+14TkX1jmSYuX76M/NgYTpw48V4qFB1NknGIefbFZpPoaycKBUxQo7e5uQlJFHH3zh2YpolSqYRypYKpycnQOfW7kgHeiAGmTafWMedWpZPHJDrIxaRSVt37XhBF2FQpIFoREQQBjudBN02Uy+WB5z7A/sDzPErlMjY2N4naDEW4hmipOQ46a3alo5BtzwPPcUSCTtehqCpSicTgsce+Dw/EUY2u9Ga73aOZHIXIekVGaG4eqIIQBLh77x62Nrcwv9LrrHIJCdn/NJgKEN5KV9NVzIX0v44YsEmW5XIZf/7zn1GuVPD6zRvcun0bhUKByGWVSlAUhWScIzRERrdwbJv4IwOemS4d4WpbFrwgQIqq8bBnoWlZ0IEep1UUhLBRUqBZ3mhFpN5o4HcXL/Y976+Bj67DKssysuPjeP3mDY7S2b0AQlWA7ocqQMrAGnVW06kUOI6oB+zUasjlckjRhoCWpkE0DCS6JyIBYUaQEc+jaGsaMkOyR5IkwRyhkaOfcUEQYG1tDbdu3sTnn38ORVXfz/gNIITTF8RfxxB4rotms4lvvv0WgiAQQjmbv3zlCgk6SiVkczmoitLx8GJd+syhjY6f9X2fGD7LCstLKnV+OUqZEAQByUQCeiSj1+20upFyU9i9KIp48+YN/v1/+A8jfHIH2A+Y7u8vL1/iSGQKXLgPYpysIAjQbrfh+z4y6TThUmUyoTRZkpYc2XSrBB0w0SGiH/QXIrcsCxzHxWb1GCTaeDXKlLoenhi9p6jUXKlUeu/u2L5NkuELYvj1Ixx3Y3MThyoVHJqZwYmTJ6G126hWq1hZXsb1a9dQLBaRHxvDxMRERzmPzSxXqF5jtyPgOE7YFAkQOlE4njkyzUzXtFAEvVvKDrRRlgUlrCHz9evXmDt6dGSFhQOMBkEQUC6X8cODBzBNM/y+O8Ti0Ws32HQzlTqrAFkXlmkincnA9304joO640CRZTIApuu7Y4EJj951q7VamJmZ6XvdTFUmTlViFLAK3+07d9BqNnFiU4XTbvW8LvM/fQI+15tdjMOgJsnw5/tICjFsbW2hUChgbm4Oc3NzcGwb6xsbWFtbw/3795HP50l/Ti5HVD/o+V3Xhe/75FnJqqvRaqPvwzRNQvOhvPQwoURfpygKgiAgmVago/ldFEUgCOBSOUkOxPllzZa1eh2zs7P7vt/3wUd/OgiCgE/OnMHKw4eYPXIkdCA7OI0RQ+V5HmnIoQRi9rpUKoVGvY5mswlJFJHL5eB6HpHTabch8jxxXKngfGgMYxZYa0i5AiAZG5MbLOcE9ErksJ+9ffsW9+7exTfffINUKkWGHIzwefVDOA2nnwHsl60Z4nBvb28jl8uF1AeO51EoFFAoFHDmzBk0Gg2srq7i8coK7t27h3K5jEqphDzlOoWOBztPEBDxccsKOXQJqqfr0Y7VaAAhiiKSySR0XQ+lVdj18l1jYZk8Tq1Wg2maZNjCAT4oeJ7H/Pw8rv7lL9jZ2cHExEQ4XxsAKf+h0wC2qb5fJp0OjZoiy1BVFa1GA4lUCknafGXQ79mggaZKH6isqQvo3VNaux1OdesHiRpAZ4jD2o9Xaug6fvjhBxw9ehQLx4+jXq+/134ddK7IC3p+1K9RNHyL72N7awuffvpp+LNUOo2F48excPw4TMPA2toa3rx5g3v372NqchKVchnT09NwbJs4ClFlAY6DY9uho8pxHNTIyEePzllnYLqruqZBp13gzClnfFcmXcUCzIDj8OTxY/yv//k/j/S5HWB0CLQJbubwYTx+8gRnP/mkR2e4ew1apgnbsqCoakdAk0qlsLO7C8uykEomkclkYND59aZtQ6WOK0/Lx1zkHN1rtjXCnhWjTT8DELcf/CDAjZs3YZomLmTnsLt8E+hiHMmnSlDPH+5578DzcAOaJPvs12HY3NrqUF2RZBkzMzOYmZkhkyw3NvD27Vs8fvwYiWQSlXIZ5Uol5Pwzehyo0+rTyXS24wBBAJmOymXyk4yzzsC+Y8u2yaAQWmFheskhX9b34fk+JFHE45UVnDp9ukfd6dfGvwmHdaJQwGY6jVevXmF2bq7jS+5utNDp9KpUxFkFSAZFTSZRo+LhgiBAEAQSFdo2dF1Ho9GAJEmhpENIQkbnom+3Wij0IUAzRCPAgVmBGEfx5evXeHDvHr759lvkcrl9KQ70Q3TK0H4w7PWbGxsoxEgYsffm83nk83nMHDoEzTBQ293Fg0ePoLfbGC8UcHhmBtPT04RvE8mosu8w2mgTKg/EdI2qiQQMGvVHN1Q0w+pQcfhHy8s4c/bsgZ7jrwDWPLO4uIjlR4/wzXffdQY9HAc+4lCapgnPdZFMpXoyMKl0GhrVTU6n0xBFEZlsNpS8abfb0DUNiUQCSmQSWrcBHMX4AdiTcxr0kI3ZD61WCz/88AOOHz+Oo8eO7e3n96SbhDSKPhhUnemHWq0WTh2Kg5pIYO7oURRLJbSaTWiahuraGm7fvYtcNotyuYxDhw5BVRS4rgvTskgjI8+Hjiq7a3YVPnVkGZjT2m63Qw46C1aj35vrEIH2t2/fIpPJYDZSYTvAhwGjyZ08dQpXvv8ei8eP91A+ovvJ8zwYphnaySjSmQzq9TqarRYKdIxwkmqhm6YJwzRhmiYURYFKp9qx40fXrOM4ZGTzED65JIqwHGff2rye7+P6tWtwXRdfnfkU9f/tLwi6tiqXkpD9T5/uaw8Hvj+YcjfykaJvCrC5sYHjfbiggiCgVC5jcmoK860WNE3DxsYGfvzxRwiCgOnpaRyZmUE+n4fn+7ANA5Zth5QcRVF6rjnuOlVVDft/RFEklZOIfjNAB3xQO/v6zRv8wz/+47vc8XvhozusPM/DB7B04gSuX7+Ow4cP9zzEWUnBME14nhfbhAMAmXQatVotLG0BADgOiiyHQvKGYaDZboPn6CQIVYVAS9DsodvSNKSHUAJ4nofA83BGmNUbxfMXL/D0yRN89/vfh0b2XZ3NjvMM4bC+02YCif7Onj079HXMoB1fXMQCHTm5u7OD58+e4ebNmxgfH8dEoYCpycnQOek5BvqPy5QlCa7rdm4ojgNH75tN52nSSWjdE34O8GHAMu2zc3P45dkz7O7sYKy7mYMaKI9G+rIsx5br06kUtnkemqZ1ZBhEQUAqk4HiODAoHUTTdWIIZblDxgzA0AYOBlmS0HacfUn8NJpNXL50CadOnw5LmEPpNyMg7Lzdb4CJwXt5Y3Ozb4AZBS8IEGUZh8bHMXPkCBr1Ora2t7GzvY3llRWkkklMTE5ianISY/k8JKrjOGoWiec4JFQVumHAsiwyXIA1e2EvwBR4Hk8eP8bvvv564DSvA7w7BEGAkEjg0MwMnjx5glOnT/dNCmmaBqaz23McqvJRX18HF0no8BxHhrrIMsm4miZMywr1lWVJ6lDG0TStp3E3DpIkgTcMOI4zfFgGhed5uHr1KgRRxJdffonm/34NgeYgSABcZOlm/udPwWf2190+tIH6HSg8rVaLJG+GPL+YtNXY+DiKpRKWlpawsbmJ3d1d/Hz9OnzPI1JahQImJyf3egFiqqr9bKyaSKDdbpOpZqkUeS/7AypRyXF48ewZjhw5gnxME9+vjY/usDLHJZ/PI5NK4eXr15jr4kVwHJGqsqjx61fSSyQSZFa5sacGHAoGU4dKURTYjgOb6n3qpglZFMlsbElCEATQR9xQsiSRLtkROxmfPHmCX375Bd9dvIgEFV6mFxne57si2jEd/4L9u6waXbyjCHlHJ0+Ztg0eQLFYRKlUgmXbqNVq2NrawuOVlXD+crFY7HH2B5U7VVVF23Whsw2FvQYcx3HAcRyerKzg+PHjfQXVD/B+YIFCAGBxaQkPHz3Ct99+2/Ea9lDUaDWkX9mIZWgarVbH+mTBoyRJkHK5MFBhfwSezreXJPCCQCStSqWh1z5KI0d09dVqNfz00084e/YsDh06FIrev2vw13GeEZok3wVr1SpO9ZGziiIqbcX5PlzXRT6Xw8TEBObn59FoNrG9vY2bN25AUdVQLiuXzYaUjyAIekbURiFJEiTXhWXbYWaWCwIyQYe+v7q+jkw2i2Kx+ME+gwN0gjXsLC0u4r/+679ifmGh57nLA9DoxLkoT7IbKfq76DOY7QdG00smEmSOvWGQYSEcB5kmjWRJQmuIpFX0unk69WqQw8rWo+u6+Omnn5BMJnH+/HkYN17BfrgWvo45rMonZahn9z9Qxh9g56ODD6IYtrur1Sqmp6eH2n4uQqcBSPIuoSiYO3IEhw8fhq7r2NnZwbNnz/DwwQMyDKhcxuTkJEkyDGliB3qDzISqEooBvT/HceB6Ht68fYs//bt/N3jQy6+Ej+6wMsPh+j6WTpzA1Z9/RqVU6ihb+EGAtqaB5/mBnAmOZk2tViucoBP3GkWWocgymbRDZ9lbuk4Ixp5HmodGcEAlSQJHSc2DiOFBEGB5eRmr1SouRpxVtmyGOpsjgEle7Eccmp2zn5NYrVZRLJVGcsY5nofrOGg1m2jRBhuZjlnNZDIoTExgYX4eLpXLqq6thfOXWTdkMpUCBmjv8dTB0XQddmS2MsvW1Ot1tDUNs7OzI0fkB9gfmCNpuy5mjxzBo+VlbKyvYzrqcHCk83SY8QNIVC/QBsmxXC42iyHSARLJZBK2bcOiE3eg65BEEY1mE/Pz80OvXRRFYgAHTKljGcydnR1cuXoVF86fR6nbGf4tAsx3AON5D6MzAXtjFTVNg00DgWQyCUWWIcsy8vk8jhw+jADA7s4OqtUqrtImy1K5jHKphHFaFh4UDKuqGo5+FGjXMYDQ+D15/BhffvHFQXb1V4SiKDB1HWoigZmZGTx8+JDIsTHQhJBtWZDpqOy+x5IkKJIEXdcBxGul8zyPBFX8cGmVxbIsGIYBkedRr9dHTijIskzUPYZURWzHwU8//YRcLodz587Bb5lo/V/39l7CEYeVS8vI/Mdz70TnCYKgmwYbYhi3vB/W1taI2sgI4Dgu/Czb7TYkSYIgSVAlCblsFqViEadPnYKm61irVvH48WNcv34dxelplChPfZQhJXJXkMloAADw/OlTHD58mGTOP4KN/egOqyAIEEURrudholBApVLB9Zs38fXvfhd+uBYdwZnu4q3GQVFVCIaBRr0+9MEt0FnX0TGgOzs7EGQZtXqdfHmSFPJdu8EaFAYZQD8IcP/+fWxtbeHid9+FjlTH0T4AJy4IAvR1K4OIQPQ+UK1WeyYaReF5HlzXJd3DlHzvUWmrXDYbS5UQRRGHDh0KM1Zbm5tkTOzKClRVRXF6GuVKBZk+jg6L0m3bBhO+dqge77179/DFl18SSbOPEP39rUBRFLQNA5wk4fPPPsO1n3/G3//93xMjxHHwXBe2aUJR1aFd3yId4dlsNpHNZIZOa1FoEMS4dpZpokUD1FarRbJ6ktRXHzk0gP3K8UGAzc1NXLt+HZ9//jmmo9Oi6B76EBSeYSLk72T8hgSYAc2kOq4L23GIE0lfm0ylkMtme97DgYzQnpiYwJkzZ1Cv14m6ye3bsCwrrKIU6NCWbrAgUzcMMuUKpNPYcV08evgQ5XIZ44XCR8nW/K1AlmXSPOe6OHXyJP7bX/6C169e4XBkqIpuGODoyNVB8IKAKEFQPdZhrxdFEel0GqkggGVZMA0DtUYD2UyG9JRQulC/5wQbq9wvKRQEAWzbxuXLl8NGYABo/Z+3AKNz/DAXAJn/eA58+t2E7t9lFO2gxmZD19Ea0C8T0A599kfX9ZAjLMkyxvP52OdlKpnE/Pw85ufnYVoW1tbW8OrVK9y8dQuFiQkUi0UyybLPnmNBpmEYYUbWcRxU19ZQq9fxhz/8gWgt/y1mWAFiAK1mE77v4/Tp0/jh++/x5PFjLC4tAXShy7IMfojx830fvCAglUigrWnI5XIjjXYDEFINdra3kU4mIYninhA2R0YOSrIMiWZ7wmuXpI6Z9lEEQYA7t2+j0Wjgu+++6/iCo+MrP0iJcdBm4ri+zmo/Tpxlmmg0GpiKGOzA9+F6HlzHgeO6hAtD71tWlPDzDyh3aRgEng83zwUAW9vbePnyJX66fDmUYymVyxjL5zs+W1VVSYaG6ryato2HDx5gYX4eE+PjCIIA6kGG9VeDLMsIqAGcLBQwv7CAq1eu4Pd/93fgBCEUjx/lO/A9D+l0Gm1NQ7PVQj6XG+kaBEFAiu5T0GDWcRzYrgsuqsNMjSFbP6EB7BNkVtfWcOPmTXz15Ze9hoQ1BXb9/53wrk2SA35XXVvrkAYMggCe78OlTS5uRLNYFMWQ5xYEwcjdvqzJ8sSJE2i123j75g0ePXoETdOI81ouY3pqqiNgEEURIs+HQwZc18Wrly/hOA7OnD4NDgilkw7w4cGoM67vQ5ZlfPHFF7h06RJy+TxyuRwc24bv+yPR4ALPQyKRgOu6pMFvxHUTqktQ/c90JhNmDE3TDK+T7VnmiDEaT7+kkGlZ+OHHH1EulXDy5ElwHAfj+itYKxudxo0D5FNFqJ+8+xTJd9JwRv89vra2huliscNu+5Gg0qVjzQPfhyCKUBWF9M7QhvJRGtFURcHc7CxmZ2fh2DbW1tfx5s0bMslybCysbkb3P8dxUFQVhmHA9zxSiWk08OzpU3z37bcQKIXyY+DfRBu1LMvwqZyRwPP48quv8OTpU2xtboaZtLhut26wudT5sTHwdDTnfmHbNpKJBNLpNMbGxpDLZpFQVQRBQBq2Wi3UaOnZNM1QX5Q5TwxBEODmzZtotlr49ttvezYbS7Wz175vYdB/x83UD2vr65ianITneTBNE+12Gw3aVczkL1RFQTqdRiabRTKRAC8IhIrRJyM9DJOFAs5/+in+9A//gAuffQYAuHnjBv7lX/4F9+7dw9bWFvwgCJ0Rz/PCsqIqy5hfWCBSHDwPKeIs/fM//zM4jsM//dM/xZ738ePHUBQFF39jEeT/r0KmDTgulTQ6fvw4ZFXFvfv3EVCajSLLI9FqHDp1RVUUNGjQOio4jiPnUlWkUiniTNG1KFDHuUX3a6vVCisALCvfjdXVVdy6dQvffP11bNajWwrvQ8jQ9W2S3MfnAJAqVG13F+MTE7AsC7quo9lqod1qkWZVStFJpVLIZrNIJpOQKZ8fHDfSKNYOcGRs8vGlJfzdH/6AP/7xjxgbG8OL58/xX/7Lf8HPP/+M12/ehNxyWVHC7Pvm9jbevnmDL7/8MjTWUQN4sF8/PGRZhkMz3PlcDmfOnPl/2XvTILnSs1zwOfvJPbP2UpVKqirtu9RaWq2l7W7D5RLMJcJguNw/DsaBHY7BLI4AxsAvRxAe4Af+ATFcTwzGDqYNGGIAT3ANdndr65bUarV6kVpSq1QllVSqKtWSS2Xm2c83P77vO3Uy8+Si3lx9qSdCIakqM8/JzPOed3ve56Ub0Zi2riiKUDu4Bvjq62wmQ5f3MGpApxAkCa5lIZ1KIZ1OI5fNIplIQFNVqq9eraJQLKJYLKJarVLOuiTBYXFAGNVqFWfPnMHIyAh2795NZZsKVZT/5S16rLCFJhQkf3rXE51rDdokmK06Is3uEzMzM+jv7w+GwVdKJarcUa1SxRtFQTwWQ4bpr2pskt/3vJaa05HnwHjEIyMjePrpp/GzP/uzGBsbw/LyMl588UWcOXMG7925Eyx34TKArufBtCy8c/069u7di1Q6HbxWGB+Xza6JCiuv2LiuC0lVEY/FcPjIEVx+7TUcPnIEca77R0jDLvEwXNeFwHTH0qkUCsUizcw6/HIDBxgKdjh/LhaLUbFk14Vj23Ach6oREIKVSiXYi84znzevXYPnujjxzDPN26JhB8grru0CvVBgyhNIwgYZeAX6iTJBFnD7LPjzWRX13v376O/ro2v4CIEoSQG/SWbTvvWfncMmsJ/UmGqI4IIAWRTRlcuhK5fDrl27sFIu49HMDN65fh1mtYqBwUEMDA7C9308fvwYi0tLePb0aYRlysLf4YkTJwAAly5dijz8V77yFXiehz//8z9/svP+DwrOY3UtC7wudvjwYbz40ktIJpPo6uoKApQoHWIOfvMVFAWZTAbmwgKKbF95p6ifIObVBx2rLTXHcQLaCCF0AUCpVAo0lGVZxszMDG6yAbJ0RGscCNlbJydGCEB8EDqxECxCCaTbwJxfMzvtIDn3PC/48+DBA2RzuWDglIv2y8xmI7svhMCxLCSeVEsxZK888Y7FYhgbG8PY2Bhs28bs7CxmHj7Em9euBUOWXE954u5d7D9woGY5RLjCum6vHz40TcPKykpADds0MoLFxUW8fuUKtm3fjng83iBjVA8COqQnCnRRT2llBctMRq1TCIzfzikgPPhRVRUJIOgE8ECagK0ArlbhEwJd1yFJEkzDwMVLl7BlfDxY50sIQen7b8A3aSeBhCqsied3QkqEOj6tfG24gMQew4cLn2TLVfArrBbTPNeF6/uwDANLS0vYsWNHoMEuSRJUVnymhF0AACAASURBVIWOWlMtMh8rd0C1ajy92qKYIsvBIKVPCBYXFjAzM4Nz589D1zQMDA6ip6cHvuticnIS3V1d2LhxY0A9rKfwfFw2uyYCVkmSICkKXLY1AwAG+vqwadMmvPXmm6tTyEKtxmMYvHJCQL/YdCqF8soK8vl8LQ+tDUzLQraJwxTZdDI/R+40QAiqlgXXtmF4Hm5cvw4IAvbu3QvDMCCyyWqJVf/4mjNuTzUyE+24ayEOXfiRPiHBlxkOaCEIwWfjuS6d+GPG44ccOiEkoCkQQpDP53HowAHKCY4IUBtPixL3ueTUE6HuPRMgWBghsO8yvWMHduzYgaph4NHMDCbu3EGhUIAvCPQ8mcA8IQRJlgVyHDp0CLFYDJcvX2449Pe//3386Ec/wm/8xm9g3759T3be/4GhxWIwqtXgGlQVBU8fO4Zz58/jyOHDgbJEs2EE3lEBqL2quo44q7KmQwsG2sGyrKb0k0BpgCVQhNBd2KqqolAq0Va552Hm7l3cu38fBw8ehCCKwWRzYK+CACF0TfPrrNXELREo7UcQQW0WZPV5oFQIfo6hEw6cJV+g4XsefKw6PL6Vhn92hHUcFhYWMDAwQPVu2Xm3A5epeeIBxdB75kli+DtWVRWbNm3Cpk2b4Lou5ufn8ejRI8zO0ontrp6eBlWAVChJWLfXDx+cxxre9HZg/3689PLLuH//Pg4w6cJmFDGuCEGYJi8EAel0GktLSyh3IAPJIQAtp/55AsnnH1w2J+GxYM+2LJQrFbx57RpGR0fR29uLcrlMZ0muPURl8jFEkUDwqSIFIQTa4RGQ8R7+RsJvqslJCqufAVnVIOV+Kfw4bqu8cOS7LlxCt/L57G+b3WcIEKyoXVxcRFdXF5K8yNWBz/Q8jxaEnrAdHx6M5HcbHoDzeKmvrw99fX04QAiW2SbLN65ehW3bEBQFx44cAcCWfxCCdF2M9HHZ7JoIWAHqAG3TDFNOsHnTJhRLJVy6dCloq0c5QB7whX8uyTIVOi4WWzq1evB2ZicQ2Q7fVCoFsGD27StXEIvFsG/vXppJ2TbAKpeRw1WCQN83oetJBaw6AYQCz7Bjc5jOLDcUn5BgTWzNz3lWxzfKhM5dYOcvAMGQCq8OP5qZQXdXF+IdSI9wWLYNRLQK2qH++wz+zzi5Na1RNsCxZcsWZDIZXLp8GZlUClkWHHFOT32FTFEUHDlyBOfOncPs7Gww9V2pVPDVr34VfX19+PrXv/5E5/0fHaqqosIdIAsu4/E4du7Ygauvvw7l+HGqrRpRZQ26Ahzs2s5kMqiaJoorK+jqQEoNaO386sGrjpzvKisKZh48wMOHD3HyxAnaIrdtuvKQkEaHxm78rufB5nrAPPlkzos7MUck8CXAZy/hyoDtOvCYuoVpGPAYzYhf7z5oIMuTSWC1W8IrsiLoda6GbNb3PCwtLeHwU091XHnxWSCgsGS6Y9QF6TUDaPXfMyFQFAVDQ0Po6elBoVCARwg2jYzUHJOv4uVYt9cPH4qiALK8uuqUdc327tmDq9euQVEU7Nm9u2lXJCiqkNVZiVQySSk3+XzHAavnuiBAxwmpLEmQJQnpZDJI1N56803s3rMHgwMDsFnBxVssIf/idfiyV1NJFOMq1OdGUa1WQVjAV2+vAGr9LhBQEPjnYLN5FkVRan7nex48QoIENJB8Q8heBapMJEkSJMbJfffmTQwPDz8RF5T72E4/O4566bngnhIKWoPPSxTR3d2NLqax+uDBA/QODAQqHvxzS9fNGnxcNrtmAlZVVVEFvQB4hc71POzbuxdTU1M4c+YMTp08iVg8XmNQDc4vhEwmg3K5jHyhgIH+/o7Ow7asJ143pjBR+zeuXkU6k8GhgwchCFQzjTvT8AXusws83NbzfX914xV/fxFtC+L7KFcqoR8QeIQEw2HcUHhAKokiJOZY+dYTUViVv+JVJ26ovu/j0aNH2NCBrmX4HGzGNXqi7VKCEGlM4fcahgiqu/podhZvXL2K8dFR+JLU0Kapz/4A2rI4d+4cLl68iM9+9rMAgK9//et4+PAhvv3tbyPT4bDPOihUVQWRJHihgNXzPLrzOp3GxUuXcOSppzC4YUNDUhJUB9n/w23hRDyO0soKMqlURzdmnoxyR9EJBMbZvHXrFhYXFvCpZ5+FzqTmFObMAQQVEs/3g79d14XA25a2DTe8mztkr4bkwVMJiERfo6oJUE0DUpU+vmqatD3KA0Zms5IoQlTVwNHVdGTYa7tsvSKv2M4/foxcLlfD2277udl28Dk8EerutfUVYoFRjAB6/yGEoGoYeOXCBeS6uqDH44GTFtn9KplKNRxm3V4/fKiaBodpHhPQ4FHTdZw6eRJXrlyB4zg4sH9/U3sF6qqvgoBMJoOFxUWUO9w2Z1oWHR56kiQJ1MfOPX6M69ev49ChQ9Q/sYTI1zTk/59rSBR9+IJAuxsi4AtA4j/vhagr8IpVOJIEwbJWu5RNaAFRPpZvaVRkGUIoyZNFEbIkQWCSefxPOPjlS2345+p6Hh4/fowDBw50/P5d1wXxfVpMa9eFDYMlIPU/o3+tdlQDqhL7/xvXrqFQKGDT5s2IxeOrxTDfh6woPzGbXTMBq6ZpENjmKEmSqLNgVce9e/dCVVWcOXsWJ0+eRCqZrG2thXhhAIL/8+pnvlCAaZotN1JxPEk1NvycN69dQyKVwkF2EdYH0UEQyR0Ey1h4mw9ArcGHq6XhjFcQVkWXmVHwYbV4PB5Z4Ww5yBK6UAFqXLNzc9izdy/g+0AHAajNMl++3u1JUH+7CN8s+b+5QXm+j+npaVy/fh1HjhwJhK55BZk/J9MkYAWAy5cv47Of/Sxu3bqFP/uzP8Px48fx+c9//onOeR0s6FNV2Gx1qs8SH1mSkO3vx4lnnsHFixexz3Ho9jqscrk4osS2M5kMqmzworu7u+15cIFrsQn1IAo+IZiYmMD8wgJOHD8OjQ1VspMKHicKAsCqmMFzfR8W44Rm0unaFiFZbfs7jgjXBHwXtDNQJUjGE1AYXYVXexMRlSnC2o9NEfrcBIGuNh0aGuqMA89e37YsKEyLulPOe1R3q+H/jMbDf14ul3HhwgWMbt6MFCsg8Ps7by9mIqrp6/b64UPTddilUiA96LL7Zjwex6lTp3Dx4sVAzi2496KRIhC+UhLxOEqKEqwEblewsG2b7rUXxYaVvq2Qz+fxzttvY+++fRgcGFi97gQB1YuTcO4u0oSPn7AP6Ec2Ib1vMzzXhcfUDWp8O1ml6ITb+oGPDQWdfGNfJF2Q0SWaIezHAGB+bg6ZXC5ItDuBxRJcRVFaHqvx1BoHumv+z6hPXE/X8zxcee012K6LA/v3YzGfD+4TfLFSqkng+XHY7JpQCQBYmyseh8VaZlyChbe4tm/fju3bt+Ps2bMoFIsAVsXya1BfbUunochyx4oBJpPQascB4xdg1TBw9uxZ9PX2YvvWrcFNAEAgkt3mhaJ/zqsuogiROU3uOCVZpn9YRZMbQtTNop0Tr8++Hs3Ooru7m65SZJSBlu+CVXdFUaSSJS2P1vjcdhAEIeAAT0xM4F02GKPrejBc5fl+cI6JJmtfn3nmGQiCEJDCf/3Xfx2e5+Ev/uIvnqwluo4AiVQKHlmduPdcFxKTrenq6sKpU6fwzvXrmLh7N6hqRDm/8KevqioS8ThWVlbgcRmmFjDDCWab64kHzNeuXcPi0hKeYpzV2hNqz9Vu8cvAXkUiQPIBicXnog9Iwmr1hXNPG84x4jOKOg6H4ziYn5vD8PBw0IIUAJpsNgFfXa1rWpDwdoKoe0n95xHw5wUB+XweZ8+exbbt2zE8MgLf86BoGk1eQol6NiJgXbfXDx+xWAwQRdqNAxtSFgRIkgRFUXDimWfgui4uXrxIExmscq05Gq4AVmX1fT+YMG8Fy7Kgqyq1+058LOg0/WtXruDggQPIsOUiHO5iGeX/73rDc6WsjtR/2VfLt444d4HxvbmP5b4j7F+5j22qb9z2Xdfi/vQ0NrM1zwLaB2Gu69KFRmxIsWMFEU57aAPeYXXY8gUfwJHDh+ERQqlHLLnh9hpVEAI+HptdMwErQB2gD3oT9ljbK1zdGB0dxf79+3H+/HnMPHzYeAONyCZEUUQ6nYZlWai0keDwPI/eVPmGhyiwbMonBJVKBWfPnsXGjRuxd+9eCOxmEH5sW9Rxwt4PAhHyiIui3YVSH1RP37+PkZER+rvw64BVnOqMhSsDcNmxTqtcTwLPdXHtzTcxNTWF06dPU81XxsGSWYDE12Y2M6ZcLoedO3fi6tWreOGFF/Diiy/iS1/6Eg4ePPihn+9/FOi6DkGS6FYrdkMLD+il02k8++yzmLhzB2+99VawLSVAk2slm81ClCQs5fNtz4FrNDebuA+GIdjQxutXr6JULOL0qVNIJJP0+u3gnDg47Yb/+/0gPGxWj05apeFHPHz4EH19fauDZfwxorgavIZAfB8W49/K7N76YdssIQQzMzO4cOEC9u/fj5GNG+HYNkRZppxZVtEB6KazqI7Wur1++BBFEVoiQTtiQNAR4de8JMt4+umnoSoKzp07RwPQekoaGq/7eCIBTdOQLxbbJpmmaQYbkppKuoF2QTzfx8MHD/DGG2/g+PHjwaBeIElHCErfuwI4jdsRU790GIK+Omz5QUEIaXm+rRB+lmlZWFxcpB2R0PN54Bp1BMs0ARY8hu8/nZxzJxBFEeVyGefOnYOu6zh25Ahs9j1KshwoNHH8JH3smgpYNU2DqCiwLIsGrKwaEcbw8DCOHz+Ot995B1evXq3RPw0md+uQTqWgqSoWl5ZaVhNs2151fqg1TO74PFZZrVQqOHf+PMZGR7F9xw4IbOjKdZwnKtlzHtcHyUBaVVjbIXzUqmEgn883rqIMHYc7Qn4Bm4wTpCoK/b46OWabKlUY+XweL738MkzTxOnTp6HresCXlUQxGFTz2wSsAHDy5ElUKhV86UtfQk9PD/7oj/6og7NdRzMIggA9kQiUJiAIQRDEkUgk8KlPfxqVahUvv/giCh10OmRFQTqVClaNtoJtWYEkUvhmHnQG2QCT7/u4cuUKTNPEMydOQGYC5SBklTuODqolnPv2AcArJFEVm45qJyEbuf/gATaGNhbVHIf9LYYqLVyKj1OwgA4c2xM4Sdu2cfX113H9nXdw/PhxbBgaCpJ4mVefRTFIXuqHN8JYt9cPH8lMJuiK+UyQPnw9iaKIpw4fxtDQEF5+6SXcu3evo+u9K5eDQEjbTma7IUluq4QQPHjwAG++9RZOnDyJrq4uyIpClwgwe61emIB9b7HhNWJPj0LdypSBBGHVpj6Aj/WbBKzBrEkLhItC09PTGBwcjOTnB/aK0DQ/G47UVHW1O9NhhbWTd0sIweTUFF4+cwbDGzfi0KFDcD0PnutCliSIoBJYYYpmFH+V46O22TUVsAJALJmkMhasTM2HC8Lo6urC888/D1EU8aMf/QiLCwurv4y6eAQB3V1dEAjBcouqDa/WhMGzvfDkbqlUwrlz57Bt61ZsCa0u5c+NEiVvig+hKskHl6ICQa/NxR0+9vT0NDYMDbWVpeIBtuc48D0v2GjEA4Z276fl7zk32fdx69YtXHjlFWzbuhVHjx6Fqml0UpRQsj0Baip6giC0dICcY1Mul/GNb3wjkF5ax/tHLJ0OhhIC1H2/qqri6JEj2L5jB86fP4/3bt8GeEu4CX8yl812nGTywaHgfoFVhQywf1+6fBme7+P48eNB249vAAoHrE/k0t6nA2xVoe3oFUP80HK5jIE2sn1hfq5j27T1KUkBHaOT+08n57WwsIAXX3oJgiTh088/j1x3NzzPo1rYoa6IFCpENJMQBNbt9aOAoigQVTWgBUR9r4IgYHzLFpw+fRp3Jybw6qVLtMqH5kUhTdeRTqdXF+o0gc121AfHYu12nw83smtxanISN27cwMmTJ4NhHUEQggUDznwJ5X+90fAOpFwcyZ/bU/MzHmh+kKY08f3IBLOjAk3o39PT00EHs+mx2N8iaEIOrMYWYQpg8wO2oTWxvw3DwKuvvoqpyUmcPn06WMNu8gFq5s85zQtA28Gpj9pm12TACsanANiXV/cF+L4PWZZx6NAhHDx4EJcvX8Y777xDuYxNvixN15FKpVAul1saVLjqwLOn8AVSLBZx4cIF7N69G6NMsJhDZtxSO0wLaIcPo13RxJiA9gYVJoRP37+PTU2qNQ3HBGDwDSkf8hrUSqWCc+fOYX5+Hs996lPYyGVwCFUj4JQNAajhq6ZSqZayPqNsbeWRI0fwhS984UM95/+oUFUVMpODAlAzqMDBh3pGRkbw/HPPYXZuDmfPnWtN0REE5HI5EEI1gZvB9/2gsxCuqnJwTp4kSXj62LGGLoSmqnQoo92gU+i8PnCC2YIS0NFrs+fdn57GxqGhjvebm5ZFxdfZkBx/rZZH7ICy5Hke3n77bbz22ms4sH8/Dh48GHQ++LCIpqr0u6rjzGaZfE4U1u31o0EsmQwWxETSaAhVtkin03juueeQTqXw4x//GLOPHrW8FjKZDFRFaZlkhrnb/Dj1g10Td+7gvTt3cPr06QaJQlXTAEKw9I9XQVy/7plA6pefgqDVLq75oB42GPyN4px38nz2d7FYhOM4VO6vA7gs2dN0vUan9QMVhEArvjMzM3jxpZeQyWTwqWefRSqVAvH9gI6psQRTEISa+1S6TQD6UdvsmgtYZUWBomlBwCoANUZS/2UMDg7i+eefR3llBa++8gpKLYjf2WwWiixjYXEx0qD4DTWoErIvjDvg5eVlvHLhAg7s3980S9LYRF3HDpC9vw+S/fktCOEdQRCQLxTgA4H+WjvYjLcYi8VWB8SERhHx+uO0AgEwOTmJl15+GYODgzh1+jRioSlqkyUCuqYFQwHhAKSvToy8Hn/6p38KURTXBzc+ZOipVMARBSImx0P/TyQSOH36NDZs2IBzZ89ihonJRyEWi1Gtx3K5lhseAr+pcgkqAavXhOM4ePWVVxDTdRw5fDjSRjS2kcsJVVnbgQunv180owQQ0nraODg+e+z0/fsY6TDB9LkygKLQ/exh/dUOOh7NwCk7lWoVn/nMZ9AfskE+LMLpB+EWtAAarLbSbV63148GeipFtYIdB2HFCY6waoQoiti7Zw+OHTuGN996C++++27DGnIOURTR1dUFz/eDweh68OvbD13r4aLJrVu3MDk1RTnmEQoakiTBeeMhjFmexK5eF7ETY1DHG4NBIXSc94OAcvc+OyL8Mfemp7GRDVt1gqphACzZoyfQmY9vdU41lJ1jx7Bz167VpSiCAIt1YPjq8/B6bVmS0Numm/NR2+yaC1gBQGdZFd9DHUZUMBTTdRw7dgybR0fxxtWruPLaa6iEddQYRFFEd1cXfN9HMcKgOHemniMiCAIWFxZw8eJFPPXUU9gQIkzXg28UsW27syCUD4t8EH4NC7TfLwQA9+7dw0iHxkQYB0qSpEBQOGjLt35i9I8BzM7O4scvvoh7U1M4dfIktm7bVvMY13UDjrEoSXBdNxBRB2iltbeF1u4LL7yAH/zgB/jyl7+MI2xrxzo+HOjJJKQQL7GG+x3xnYuCgK1bt+L48eN4+OABXj5zBnNzc5HXRy6Xa51k8ipR3XNt28aFCxeQyWZx8NChpgmdyHjQnNvZET4ECg8/dg06nOoFgIXFRSia1rG2Ie8q6aFuSDvOeaskuFwu4/Jrr+GVV17B1i1bcPTo0ZpWL/F9uuUvxO2v5zj3t9B6XrfXjw6yLEOJx+GygUMRjXJz9ejt6cFnnn8eAOje+ffeixywisViSMZiKJVKkUlmoDoQKtLwgd53330XMzMzePb0acSarHt150twz96lOqsiVgfGuhNI/uyeyOd8UAQJZoSP7XRexScEDx88wKY2dAAOx3GoVCTnmocSiPcTK7iui5u3buGH//7vEAQBn37+eXR1d9e8J9M0QZg8JUA7J5IkBQlNd09PywTz47DZNaPDGkYsmaSr1ljVg+84BpqUuwWqJTY8PIxMJoOlxUW89NJLGB4exo4dO2oWAcTicSTicRRLJSSSyWDvPZ80j7pJz8/N4cqVKzh69Gjbcn7YAT6JnusH5deIitL48w6f7/s+Hs3M4NPPPdfR403LAiGkQdc2nJV3ioXFRdy4fh2O62LXzp3oHxho4N2GnZ/OvkvLtiEwPhwA9PT1NXBvp6en8cILL+Du3bv47ne/i927d+NP/uRPOj63dXQGSZIgxWJwqlX4nrcqA9Oi3SyADsgdPnIE5ZUVvP3227itqtizZw+6e3qCx4miiK5cDo8XF1EqlQLOI6/IcDWRMCzTxIXz59HX34/du3e3zfQ1VUWlUqEyPx9CFaMd/GYUnicIhO/fv99xgsmH4lRNi14ByRPm0PGbDXcYhoF3b97EzKNH2DI+jgNsSQrnDnOYbKgnkUgElRuADnDwbYL199J1e/34EE+nsTQ3B8uyEI/FAhsJ617XQKAaoLt27YJhmpiamsKdO3ewc+dOjI6O1jy+q7sbpmVhYWkJwxs2BD/n9lp/DRJC8NZbb2FxaQmnTp1qGhQR30fpb1+HZPoQ4gIcmUC2BUBgVAA1OpwJrsv3WdTh/kh6vzYrCJifm0MiHkeig+UKBHQTnihEb44kQOMWyCbwPA9T9+7h9u3b6O7uxqdOn4bOkoHwmTuhgpAsy/A8D67nIcHnUwAMhL5Ljo/bZtdkwCoIAvRkEqWlJRimCT3Ep0AT0jcY10KSJGzfvh2jo6O4fecOfvyjH2F0bAzbtm0LvvyuXA6mYWBhYQFDGzYEpO8oLuijR48CWY1ch+1yXdNQLpdhO07D1HSTN9zR60ahJR+uw2nCR7OzSGcyHW348n0ftmlCUdWmm4h8QuWNwttE6gWMC4UCrt+4gZWVFezauZPqSLK2oVgX6JimCd/3kUwkIApU3Nh1XShMgxUAhiKc9w9/+EN87WtfQzabxc///M/jm9/8JuJNMvd1fDCkcjmssL3iXbkcuNBMK3qIxBQn+vv7MTw8jAcPHuC1K1eQTqexe/fuIDiNJxKIVyooFApIJBKQ2dQqb2eGbbZqGLhw4QI2Dg9j2/btHZ27qiioiiIs2+5oucgHVgkg0RqsLek0ITiui9lHj7B3T2cVJYPxSPX6BDp0zxDApplD3P0wLNvG7du3ce/ePWwaGcF/+qmfgqKqq/fO8Pk5TjANzmXneLdMVhSYlhXZDVm3148PeiIBWdNgGAbSbJkFn9toleAJgoBEIoFjx46hkM/jxo0buP3ee9izaxdtdwt0m2I2m8Xi4iIKxSIybDCT0wDCvsr3fbxx7RrK5TJOnz7dcgbBePk9uA/zEAHIHuDIgASC+KmtUEd7mj6PnfgTfkKrCBbZvF/aHSE0weyQvmMzrnk8Ho8876Ay3SJo9QnB9PQ0bt68iVQqhWeOHw8UdLiiS5Ck+D7MapUWhHSddohZdVxRFPieh0QyGblB8uO22TUZsAJAuqcHK/k8KpUK5UChyaKAEPgF5fs+VE3D3j17sGV8HDdv3cK//du/YevWrRgbG6MbK3I5LC0tIV8oIM0Gvepb6w8ePMDbb7+NEydPIpfNdswxU5jEk2mane1Y9n3gSVckMrSSyOkUdycmsGXLlo4eWzUMCPzCrkO9FmY4a+c/LRSLuH37NhYWFrB9+3Y8/fTTNc5bQK20j+M4lHiuaUGA7LouXXurKPBcF6lMpoGcDwBf/OIX8cUvfrGj97WOD4Z4MglZ02CaJk3U+PXcwl54e4sPNIxs2oThjRsxNTWFC6+8gr7eXuzYsQPpdBrdXV2wTBOPFxZq1iyTkM3yrUpj4+PYtnUrXT/ZwTYdQRShqioMw6BVyHZc64jBsieB5/uRiWynw1xTU1PoHxzsaNjR5koenGteh+B9sGBVlCR6n2XnYtk27t69i4m7dzG0YQOef/75msSW3xNrnJ9hQJSkmg6TbZqQGS9OFEVs3Ly54VzW7fXjRTKbRfHxYxiGEfBFWxU5+JIBvtQnm8vhxMmTWFxYwHUWuO7auRMbNmxAMplEtVJBoVhETNeD+0FYZcDzfVy9ehWWaeLkiROQZLnpsJY7W0L5RzeD/ysO4GgCSH8SyZ/Z3fJ9EnzwjgjQ2Dns1F6r1SoWFxfx1FNPtX1sDd2uSUwQvvfwoJW/R8/3MfvoEd69dQuqLOOpp55CT09tMC+KYk2CaZgmfEKQjMeD13ZdF4RV1avVamR1Ffj4bXbNBqy6rkPVddi2Dcs0obHNRq0uEoltpfB9P2g7xGIxHDp4ENu3bcPNmzfxwx/+EBsGBjA6NgZN01AoFKCq6moVl73W1L17uHnzZo2sRicTs/RhtJpRqVRqpphb4f3WbJry4TpEPp9H1TAw0IJPxuEwuTGtg01gHAR02vHhgwe4NzWFSrWKsfHxYJK4HuGkhDs/KeT8CFZlw1RVhWlZTXVj1/HxIpHNorS4CMMwkGJafa3WfgqsGhN2UqIoYnx8HJs3bcLExATOnz+PRCKBsbExumY5n0c+nw/kUvhKwZWVFVy4cAHbtm/HOFPvEEDvCZ0kmToPti2rsyrrBxy6aqDw1KmRNH0uIZi8e7cz5wfWWmQBebPHcIQrvAuLi5icmsLc3BwGBwbwqWefbdgVz7/b8PdrGAZ1fmwrD3+c6/tIsAQznU5HDtSs4+NFPJNBOZ+HaZpUA70ukImCGGFPPb29+NSzz2J2bg63b9/Gm2+9hc2bN2NoaAiGaWJ+YQEbBgbo9cASTJetAPUJwfFnngkSuPr7AQAQz0fp764A3urPZZ9yb9X/sguC0kEX8wOgKYWnQ9y9excjIyNNO5JhmGxJQNNuZ10Xhif7lZUV3Lt3D/fu30c8Hsee3bvR39/fcO+tp+44tg3HcaCHCkICqMSnwq4HUZIw2CRg/bixZgNWQRCgp9MwlpZgcimjNhdNq6pHifqm1QAAIABJREFUIpHA4cOHYVsWHjx4gCtXrsAjBD3d3fB8HyPDwwC7MCcmJnDnzh2cOnWK7hTmr49og4qCpmmoVKswGUeozYm/76GpVluuOsHExATGxsbaPp9g1ZjacXO5QZSKRUxOTmL6wQN05XLYum0bBgYGouVBeGBT5/wIIUiEOFYiqDEJobV5/W3UAdbx8UBPJmEUCnBsGxZbmdruump23UuyjO07dmDbtm2Ym5/H5OQkFhcX0dvbi4phQNN1xGMxEFBd5IuXLmH37t3YXNd2EzpMMiVJghLinretyn5Ae61/352e59zsLFRN64ieZJkmCCFNB1g4uAO0TBP3p6cxNTUFANi8eTMO7NsHpUmwK4pizepOx7bhuG6N8wPYfYNNOzuOg4GhofWp/zUAXdehxmJwTBOmYQT8StJCHpLrptYHPhAEDA4OYnBwEMViEVNTU3j55ZeRSaeRyWahyjJ6e3upmgeAixcvQlUUHD1ypIYbGnXU6ku34c40LiTIHtsCtz8F13VbUglWT/H9qwQ0XRrQBq7r4v79+zh9+nTbx3qeVzNYHIWwahLxfczOzWFychL55WUMDQ/jxIkTkd1G/txwsOt7HgzThCRJq90aQoJto3o8Dt/zkM3l1kyCuWYDVgCIJRKwV1bg+T4M01xtWzSp2oTJ/w0GxaBqGsbGx7F5dBRLS0uYmJjAm9eu4d79+xjo7UW5XEapVMLp06cjvyQBnXHN+HSsYZrQdb1lQBqlNdspmlVYOwmqTdPE3NwcnvvMZ9o+tkHGqglcz8P0/fu4f/8+DMPAJqa9GU8kgtZFFMLVGM6hcVwXsToNOh+0TakqClzPQ3dPT2cVsXV85NB1HXIsBmLbsAxjNdBpxjvHqgMUBSGyEiqIIgYGBtDf14eqYWBqagoTd+5gcmoKO7ZuBfF9vPrqq9h/4AA2Dg9HHqPZa0edv8muOzViiDEAef8ydE0lrTp8/p27dzE+Pt72cb7vw7ZtuoK1lTMnBMtLS3g4M4O5+XlsGBjAU4cO0QliNJ+CDnMegVXnJ4ecH/9eHabAIMsyiCB0rEO5jo8WkiRB1nXAceC4Ll0qoSgt7+8iLyq0SLAy6TT27duHXbt2YWZmBu/duYNJpkJjWRbee+89dOVyOHToUGRnUBTFgMrjzhRQ+fGtxnPvTyP3U7uxVCoEq4Y/Kvi+H71Mp4N7yvT0NHp6etomjUBIxqpNQcgwDExPT+P+/fuIJxIYHR3F08eOQWLDUlEI22r4dUBIzdCdIAiwTRMEtIPpuC4GBgffdwf3w8aaDlg1TYOoaRBtG45lwVEUiLLctBoRCBKzDDEqqORDAgKAnu5u9HR3Y3FpCXcnJ3Hz1i24joPNmzejtLISDA3UQ2B817bTx5oGw7I6bzO2Qn0bgB2bn0czsfZWmJycxNDQEFRFaRmA+74Pk2ViUdUW0zAwNz+P2ZkZzD1+jFwuhx07dqCvr281UOdBSwQPuea7EgT4ngezzvkBNFmw2aYrVdPg+z4GNmyokdNZx08OiqJA1DTA8+CDXhdc57RZ0MptCWgSWJJVmbl4LIbdu3Zhy5YtuH37Nu5OTsJ1XWRyObiuC8M0EYuyMyF6Y17U+UuSRPedt7umOmnfA/Dr3nKzBLMTOkCxWER5ZQXDQ0NtA9xKtRqp5AEAnutiYWEBc3NzmJ2ZAZEkjG3ejAP799dQB/gATv25hT9Lwv5dNQwAlILF7zsSS0Zs24asKLAdB4MbNqwnmGsIsWQSFdMEfB9Vw0AyzD2PslcmhUYY1S1qroQP7cmShE0jI9jIeOnTDx9ifm4OsiRh4/AwiqUSsplMZNtakiR4tovS375OfUYYooA0UwXQdJ1yMDuh3rUrCoVoOfU+Vn4fPoYQgomJCRw8cKDtY/mqXF3XGzuQhKBQLGLu0SM8mptDsVjEyMaNjdVUQiIpUFHD5JZpwvW8hoIQAFiuS7vJsoy4qnY8bP5xYE0HrKqqQkskYLsuBN9HtVqle2xbcOJ4xQaIcIBkVVw8jJ7ubhBCoMoy5ubnkUgmcevmTVwuFtHT20tbHQMDwfRbp9w4SZahSFLbNiMhBK7rwsLqSkmfEBDm+OtvHiWmIUtACdMANXBBEOiubsYN5LuHo+D7Pu5NTeHkqVMt3wOAYCNRwKvxfeTzeTyancX8/DwqlQr6+vrQPzCA0fFxZDOZyIxUAL3hhT83PkwXHtqoVKsQBKGGxyMyx+kw7UABQG9///q6xjWGVDqNomVB8n264o9X+FokmbwqEGVNUTamqSrGx8eRSqfx2pUr2Dwygrm5Obz99ttIxuMY3LAB/QMDdL85C1b5UGXbJFPXUa1WW7YZCQCXVTB934fvefAJlcXjU/Yl1QNJAK5HH19OCJArZRDJhsmm9mVZpnYqCIAoQhbFlrSnibt3MTo2Rj+zFh2UwPnFYoEzqlYqmJ+bw+zcHBYWFpDNZtE/MIA9+/cjk8lEBvr8k6oZqqoPZAiBaRjwPA/x0PF4oOt5HmzWKdE0bT3BXGNIJBKorKxAsG14rgvTMALpwKiglRcgfELozvu6VaFROuaiIGDTyAhUVYVr28hmszAtC5cuXaJFh4EBDA4MoK+vr8bmKj++CXeuUS898entUDbSIEpTVZim2ZZ65xMC13HgsPPzCAnsth4Eqz7WB1Apl6G7LojnUSpayL+2CpLnHz+GJEno7umhW8WanZvvw+JbI1nC6DoOHj9+TJPKuTnIsoz+vj5sGR9HLB5HtoX+cn2SKXLFHvY5OI4T0CzruyEA7aaKkgR4HoZGRtYMHQBY4wErQNdtLhoGZMeB5Ti0itLiwhRR6+REQQhWtrYKL7u7u7G8vAzX8zA2Oort27bBdhzMz89jfm4ON27cgK7rGBwcxEB/P7LZbM2O3WbQdB1OuVzTZnQ9D67j0L9dFyvlMjR+8TAStSgI1NkLqxuk+M1D1/Ugi3VsOwgCiecBLKDjZyUKVKxbkmUoshw4xAcPHiCdzSKVSrU0Ju78BFD5q9nZWTyem4Oqaejv78fevXvRzQSIbceJXNhQj7BB1Wey5WoVhOk3cucnhh5fNU0IoohYLIb+gYGOpLjW8fEhHo9jRdcBw6BJZqVCqwBNAsVw8MXpNoH9EtK0kpmIx5FJpyFLEhLJJI6NjsInBEuLi5ibn8frr78Oiw3kDQwMoKenJxisbAVNUWAKQk2bkd/kPdeF67pUs5UH2ez6lUATVN4y1VzAswlkl74vzSXQFBUOC+D5++bi7cAqlUmS5YBTyxM/y7LwaGYGP/XTP92yUsSdH3wfpWIRc3NzmJudhWVZ6Ovvx8aNG/HU4cNBV6VQLLblz3NdXS7HFb7nGUwVQte0mu4L5zly3rskSdiwcWMwjLeOtQFJkhBPJlEtFCDLMkwuWciuu/pOXbiwAEkKkkEuYdhMZUCWZfT29GCSdcYOHTiA/fv2YaVcxtzsLO5MTOC1115Dd08PBvr7kfNjcM7caZjwlweyiH9mZ/B/kXX9HNsGYYN+hBA4zFZd14VlmjAYn5vbp8iKO1LIv/L3IoD5WJ5wMZv1CAFh9JbwuxRFETKb6pd5BxhUfWd8fLylvRLQgpDv+4DvY2JiAvOzs1hcXkZXLoeBgQFs3bo1GHisVCqwmmwaC74jrCaZ9cGr67qoVquQJCnwneFg1WPdTU3TkOvuRi6Xi6ZD/ISw5gNWVVWh6jpc34cKWilQZDko0dcTxCVZDmQ3OIIbbouqhCgI6O7uhn/7Nh4vLmJwYACqomDj8DA2Dg/DJwSFQgGzs7N4++23USqVEE8kkE2nkevuRjabRSaTqckQBVCNR1EUUS6XoWkaXNbSBqjxy5IETVEQj8eRSCQ6IoaHW2qWZUHVtCC75JQHPtHveh7lJ7kuDNCAXlYU3LlzB3ua6Diapol8oYDlpSUsLy2hUCoBvo9cVxcGBgawa+fOSK01/hm3HVgBzVzrNyJVmfB8PJGomVjk6g385qNpGvo3bEAqlVof3lhjEAQBqVQKRduGJkmoViqoGsbq9VJXteFJCd+qAqx2RtrxsLPZLDRVxfLyMrKZDFQmRt/b24u9e/agWq1idm4O9+7dwxtvvBHoQ+ZyOeRyOWSz2cblF6zKUalWAUGAx+wIYEOXkgRVUaAoCtLs+ou6BqueCM8GfJYLqjYQUzWICk1G06HAje91dz2PHo87Wq6FKMuYnJrC4OAgNFVtCLo910WhWEQ+n8fiwgKKpRKMahWpTAZ9vb04eOgQcqzaHEa9NnIzBI68zvlZlkXvP6oKjX2OvFXMsVKpQJRl9Pb1IZvNttyUs46fDJLJJKrlMgTXhSAIKK+sUO3UiE1oEgtSPc+rqZQLrDDUCrquI5VMolypIF8sIpfJIJVMIrV1K7Zu3QrHcfB4YQGzj2Zx6+7bcJ4iSJSBZIX+SZgChv/rQQhybVWTK3yslMuBnwBoMCiLItUS9X0k4/EgGWwHfl9wHAeu6yKZTK4msL4Pz6erqF3Po0Gt49DtVOyYlmUhXyjg2NNPN7w2IQTllRUUCgUsLCwgXyxipViEHo+jp6sLm8fGcPTo0UgaAiEEUgc+j+ug1wxZ+T7KlQpEUUQiJGElhYp5/L4XTyTQPzjYoAzyk8aaD1gBWmVdMk1oTANupVRCJput3YfNIEkSLFa1+OM//mNcf+cd/OZv/iYOHjwYPIYA+O/f+hbOnz+P/+Xnfg7/9Zd/GQAVKOcX/NLSEnrDG3cEAV25HLpyOezetQs+ISgVi1jO57G8vIx79++jVCwimUwGDjEWj9Pdx6wy7HsedF2HzgJufmO3WfsxvNGrE0RNHHNaRL1j8Fjg6joO5ubmAnmqxaWlQC+vUChgOZ+nk4GZDBKJBPoHBrD/wIH2wTQLVjnvreV5c65N6AZnGgYc10U8FoNS14rlDnOlXAYEAb19fchks+ui4msU8Xgc5XIZvuMgFo/TjF4UV4OaUNVGqgtY/w9ms//br/86Dh8+HDjMKJsVBYFyvoBAOifsjOLxOMbHxjA+NgZCCAzDoEHd0hLu3LmDQqEAUZKQY0FsKp0O6AuVSgW2bSORSEDXdVrtZNdlpVyGx6XznsBe+Xuvd5iCKEJmFAGwFp3Pqq+O68Kybdy7dw/7DxzAcj4Py7JQZAFqgWlVp9JppFMppDMZjI6Nobu7uzM5vQ647sBqp4qD39MUWa4J+iUujcSq1K7rIhGPo28NOr91UEiShFgiAWNlBbFYDOVyGSvlMlIR0+a8yMKDQm6vX/nKV2qk1pr52GQyCcMwUCoWoalqTRtfURQMbdiA9LVlbHydwJWAclLAStzHYhaY7lXw1uvnkbuTCRJOhU3UG6xKmUwmg9kTXu10WJFIluWm0/fNwK/5Gq1wUYQkUE1a7mU5rY/72ImJCWzYsAHFYhGe56FULCJfKKCQz6NYLELTdUrFicUwPj6OwYGBjqgyna6CDardYapdpQKBEOrL2fsJikcAve+xBQIbNm5EMplcU9VV4BMSsGqaBi0Wg1WtIh6LoVypoMSywPogT5ZlgBB4rov/9iu/gj+8cQN/9/d/H6wQBCF44YUXcP78eTz36U8HhgTQSobrushlMsizYLSrCUdSFISgqrp582YA1MkUi0UsLi7i8cIC8svLMEwTluNAY1qv6XQa8VgM8USCromNxajxs+UIT+L+mgkaA9SALMtCtVqFYRioVqvBn/n5eUAQ8PLZs4GoczqdxtCGDdi3bx/isRgsm3Lt9Fis7QAKbynwik0rB+iTxi0/pmnCdl2oobZijZSIQLdbcQmOweFhJJPJ9erqGoUgCEgmkyjm89BYhaNSqQR8Vr72UxCEQDuZVzH/26/8Cv7g+nX8w/e/j6cOH6avBzS1WU1VkUwm4QOYm5/HQH9/NH9aEBCPxxGPx7FhaCioPlQrFSwvL+Px4iIePnqEcqUCyzAgyTI0VUU6laKbtuJxarfxONUm5MMnT/jZRC0N4Ofiui6MahVVZq/83wsLC3BdF1cuX4aqaZAVBYl4HN3d3RgbG0Mmk6E82XIZkih2xDnj3HH+2bR8LKvA8Aqr67qoGgYktio5mDAOfR6EEKpDTQiGNm5EPB5/olXV6/h4wQNJ13Whx2LUZ1QqkZ0Ria3XBRD42L///vdx8KmnwO/srXysxLqKC4uL6OvtreFP2/eXUT37HgC6zSpbBLIFEcKGFLr/1+fg+C6Wl5exuLSEqelpFAsFuirc86DqOhKJBFLJZGCvsXg82NYEoKW6QRRICx/LlTHCtlqtVFCuVLC4sABBFPHwwQNomgZF05DNZrF9xw505XKQFYUmvoQgmUy2peUEih0ddDABBPqpfINnmQX08Xi8JmgPKBeCAMMw4LkuuljHeC0mmJ+IgBWg7b8Fx4HJOKyVahXlSqVGJxVYbVm4noeRkRGcOHECZ86cwYXz53Hq9Gn887/8C/71f/wPPH30KH71V3+15rky27SRTqfheh5tMYgicm0IzgC9+fP1g13d3ejp7YWiKEEAXSgUUCgW6ZCCZWF5eRnGzAwMw0ClUoHneZAlifJq+B/m4CXGkeGc2UuXL9OKKWtDgA188JWlruvSITJVRYw5We5sJUlCoVDA6dOnEYvF4HkeqoZBZatAHY3NSNkSa3+2AhcuJr7fOJBRh/pgVWBVGMu2KQE8dCw+Ycz5UZZlwXUcDI2MIJVKrSki+DoakUgkYFkWzFIJOluhu8KSzHBnhAetvGIzMjKCZ555BufOn8cr3Gb/+Z+b26yq0qp7VxedfH/8GIMDA60dAHNYHhtqTCST2JxKYauiQGH8UqNaxePFxaBFX2FOiAeTpmVBFkVqr6JIbZXZqCRJ8AeqEDIExKHB6LvbCMTrr8MRqNMJaACcuuO6kCUJMRZUc7vt7u7G3Nwcnj56FL19fQCoUoZhGHAZt9xxXTiMPtCJfA79CFbbhS0dYKhdKLDEsVqtQmQJQPC78GuDOnrDMBDTdfQNDARrdtexNiHLMjKZDArLy1AFusOeV9AVZmM8aJUkKaDscB979uzZwF7/6Z/+qbm9Kgo830dffz/m5ufxeGEB/X19lF/ueFj5u9cbs0BZQPZXjoKIgOt40DQNgwMDGBkZoRxWRYHrOFhcWECFSTUZhoE5Ro2pVKvBcLIsihAkidpqvY9lFVhCCC5eugSPDVa6rguBkKD97zgOTbAFAXFdR4wFxvFYDNlcDpVKBZtHR7Fnzx7aYWWJqOO6dPue78O1LHh8MLLDYJWrc7TqnATJJfs/V/DwfZ92kHnFldRqy/IE0yMEm1gSvNaqq8AnKGCVJAnZbBZLCwsAmzo1GJmatwUBmglJoYrNL/zCL+CVV1/F//tP/wTTsvAP//AP2LtnD7785S83ineDGq7juujK5UB8H6VSCaIoItNiWMBzXZQrFTiuG/BDFFUNpv0BINfVBUGWIQENgwd5tm1LU9XAiXHj4Bw6HpBOTk5icHAQsiTRC9/zkEmlICtKYIQiE9WvNwMC4MyZM9ize3dAuJYkiU7wqiqtqloWfc+ShO52cha8nchbhS04cVGV1fq2YlDxAWqCVQAoVyqAJGF0bGzd+X1CkM1m8diyYFQqiPMks1xGIpWq4WHJikKXRIB+97/4uc/h4qVLgc3+/fe/j31790barCLLcGybBnc9PVhYXMT848foD0uq1YEAQecBjKqgM6fMW4CxRAI9oGL4qXS65nzLTEUgmUzSYJM5MG6rruch/9ZVuCsuXALM9hD0PSZInxiBExNpQKrrQXDLByyjzvb2e++hp6enZjmGqqqQ2Pu2bBulUgm2bSOXzXa2gCQ08NiSwlP3cx64C6AJCW85CqFgJhiONAzYto1tO3fSAdU16PzWUYt4PA7LslBeXkZCVeF5Hi0KsWCOXw+8Q8DX7H62zsf+4z/+Y1N75UoB/mwJyj/eRNEt496GDEY+cxDeq/fgLpQbziv507vg5zSslErwfR+KoiCh6zVrYmVFQXdvL/RyGXosRu2ZgQ8D8yIHTxK5rdbYruvi7t27GB4ehiRJsG0bkiwjxdrjIktSZWa39SiXy7hx4waOHjsWcF4VWYaQSMDzPFhsSUPFMBDvoHvJB7x496Ld5kBS81RaHHM9D3FdhyyK8MiqghJPQgj7LqvVKnLd3eju7l6zdLtPTMAKMNJ2JoPi48eQVRWKLMNgqzt5q5FP2fILubunBz/zMz+DH/zgB/jud7+LrVu34qtf/SolNEe0BlRFgcNa+N3d3fB9n3LdBKGhmksIgWGadBIW9CbelIci0HWtJmu71A9ncZkbSZZbDiZcBAKBdIM5hUyoAszVA6IwPzcH1/MwVC+wznivuq7DZ1ORoiShUq0ipuuR7ylMAwj/LApRwaplWXTtKpv45zdD/prh9+E4DlZKJWwaG0NPT8+aETFeR2uIooiu7m4s2DZs20YsFkO1WoVlGNBiMbrhJsTp9D2PckpzuRqb3b5tG377t34rcrUhF7cGgCQLohaXl7GwuIjenp4Gp2I7DsrlMggh0Jhj43yu+us3putwHAeWadZw7QT2R2ZctnrONQBIVRneEh26ujUOdOeBdCYHM1Z7n2hlr67r4s7EBE6dPFnzc/5oRVUhCAKd7Gb3LUEQmkrohSs1aHFc+uC6YNXz6EAGIYgnEhBFEW6o6hMkmQzFYhGxeBybNm9e1139BCGbzcIyTVTLZSRiMVRYi5vzGQUg0ELng1dddfa6detW/NZv/3akLJwsy3AcF8W/vgQUDWQlYNlZxuRfvYiuRQ8Sau/t4sYs3EMDwYrhRCJRk/yEg7RAR9kwoClKgw2Ep/lb4dLlyxhiq0iLpRIURVkdagZa2s3NW7cwPj4e6TP5ZL7tOLSaKwiolMuIxeOtq6bs71YJZlSwWq1Wg7WrvIAWekINx7VcqcDxPGzZurUmnlhr+MR5/lQqBY3xbfgGqUqlsqqpxhygywaACCE1Fc1f+7VfWw0II754RVGCYFcURfQyjs1yPh/okQL0Bl5cWaHbXWQZqVQKqqK0nLrVmSPhItsB3icXs14smUuLRIEAePfmTezcsSPil/Q5fLtUOp1GLpuFJIqUy8RWpIZRL28DRAemzTirpmFAluVgmCvs9Opft5DPQ5Zl7Ni5c33K+BMGVVWR6e6G43kgvh+0Gh3Lgud5IECwmtH1vOBabLBZZjv1VzevsHKkUinkmNNdWloKfk4IQblSCQb3UqkUErFYrfOre22uCGBZVlCZCF6PP+cJbNf3WXWjw4Rr4u5d9PX2Nqxa5Ef0WRCpaRp6u7uhqWoQkEcpLNSrAvD7RYNwe93/XddFuUwrXw2DGLzFGHq8Ua2iapoY3bJlXcbqEwZBENDd0wOwwI/TxgzWVuZySWEaD0GjvWqcRlAHVVVhmyb8IvWBnKcqEIKlLOAJocE+XQB+dhtcnwrcp1Mpmhy2CBh55zBS+ilcXewAXPWmfqi5GVbKZczNz2PLli21rxM6fsUwIAgCelgV0yMEK5UK7PrzjXqPTd53/X3RZwNWruNAZ/rH/Oe8OBam7xFC6LxOVxdGRkbW9GzIJy5gFQQB3b29EBhpWdN1gBCslMs0aAV1NAJoC+uVCxfwve99L8gafvjDH9a/YM1/Y7EYjFBgKopioOG4uLREW12Og2KpBN/zkGByVFykXxAECM24YYIAPRYL+K6RII0r1JrBr9tg0Up0fHZ2FsT3MTQ0FHlMvilIkiS6C1ySkEomoes61Z4sl2vkuKIkwuolreqDVZ71WUzrLx7Klvnr8Qljjmq1ipVyGRs2bkRPSLVhHZ8cJJNJmmSaZsAVq1SrVDuRcaB5xYYAuPjqq01ttv7mrMfjAT+NI5vJIJvJoGoYWFpehu/7KJXLMC0LmqYhnUpFBqpRdqczbUer7hhhdHqD90nEAEeL6urExAR2RCSYPNCsVqu0Pc8GKWLxOJLxOCAIKJfLQUBRX/1cPR8SDJCF30v4kbZto1IuN1S3uPXXv67neXi8uIhkKoUdO3asaee3jmgoioJsXx8cz4Nl24jpOmzbRpVtT/N9n3YxGe2ulb3W+1dN02DaVs01prpAtiRAlEQspwECH6ZCgFObofSlkUqnawb2auyn7vVlRYEkijCZ7irQmIiSTu2VD1yFh5RaVVdv3sTW8fGGCi4/mmma8BidUZZlqJqGdDIJRZZhGkbQqQ3eV31BKEqxoM5ePc+jXFTXRSwep90N/jlIUlDEC7+fxYUFEN/Hnr17P9IVtx8GPnEBK0BL672DgwCrAOqxGEAIyuVyMLxEPA/X3ngD//1b38Lw8DC+8Y1vYHBwEGfOnMHs7GztC4Yu4GQqFVQTOGRJQm9vL1RZxuzcHJaWlwE2CR1V+g9u0hEXt8baePVONlyx6TQD9Hw/qE41Ox5/7Zs3b2LHzp2Rv/cJgcEGKRLM4bGTga7rSLDhivLKCnVyUcEqe52w4LQUEaw6tg1N1xEP6cBBEALnGYZpWVhaWoISi+HwkSMdfCLrWKvoGRiAquswDAMyE8WvVKuwLIvSYQQBtm3j2ptvtrXZ8E2a6zrWI5vNIp1MorSyggczM4G8UowFoPXgk7L1ECUJqqrSKiu/7p9w0piDED8IztthYmIC/f390RVKQUC1WoUXMfUrKwpSiQRkUUS1WoXtOA2VVY6GzV91zs+yLBjVKiTWCZGYwxMEYXXqOgQuB+h6Hvbu3buuCvAJRjKZRLqrC67rBoshbNtGldmaJEnwPA+vX73a3seGrjFVUSATEU5do0x1gExJABQJj7oBUybAzAriRKr1ccFLNvexsXgcIARWqPNCH8oey7qv7RAlG9nM7ksrK3i8sIDxuuoqh2PbMG0bami7FEDvL8l4POiOVCoVeowmCSbCRaD6YJVxzH3fRyKZDLqRgiCARBSZiO9jpVSiBaGhIWwcGWn3kfzE8YkMWAFAi8WQ7emhLfZqNeBJ8aBqZnYWf/3d7yKdTuN3fufvugGoAAAgAElEQVR3kEql8Llf/EX4vo+//du/bXxB9uUnUynaNqyDzLh1rusiv7wcTPJHggWdkZkcq7J64Srr+3CApO7iJYQ01WibmZmBIAjYwHg59a9TYZy+eEifLQxFUYIqcjlUaQ3D97xVQjjjxPJH1bQoYrFgi0h4O0q9EzdNEyulEjzPw64dO9Y3Wn3CIYoiuvr6oGoaTLb6T1UUWnG3LCi6jqnJSXzzm99EJpPB7/7u77a0WX69JJNJlEulyGNm2RBSaWUFlm03rR4E4v9NhM95lZVXQKKCv06stz7BbPYc23EwcfduZHUVoLbhuC50XY8UFxfZ9i9ZUQJ948jz8bxANzXK/kzDoBJazPb5UGUU9YjTBqrVKvr7+jA2Pt70c1jHJwPp7m6kEgn4bDgppus0qCqXIcsypqen8Zd/+ZfIpNP4nTb2Gg5a40RGNeJ2rjmAZgOOApR1AnJjHoVvvQLfbOxGCi2Gj2RFgSyKVO6qCeWlk5IQD1iDIkyLRPPdd9/F1i1bIu8xXAZO5vMaDW9GCKqhnu83Ugb5+bAOVLByPWSDjuMEiXsykYAsywHf1gfoFswQ+Ar0crkMVdMCCcG1jk9swAoA8UwG6UwGoiiiyjitEATcee89/F/f+hbi8Th+7/d+D9lsFj4hOHLkCMZGR/HGG2/g9u3bDa8nCAJSiQTKKysNv+ObZ3p7epDJZLC0tIRSxONqXq/JzzVVhSSKqITaFjXoIHjlKgg8YG1mhK7n4fr169i7d2/k6xiGAY8QxOr4fPXno7AqC4BAX7HmfFjWKtWJqfNJU49tsOJVl3oOTf05mZYF07LQOzCAXU02cq3jkwU1HkemuxuqptEtToIQBK3T9+/jb/7mb5DLZvG///7vI51OgwA4cvRoc5tlg4wECLZCcfCtLul0Gv29vbAMA48XFlpuz2rW2RAlCZqmwWZbb+rBeWHt4PNlA21w48YNDA0NReogBnvAZbllBVOQJCSYjJ1hGA3rlwmoA+TqBNwCCSG08m2aUDSNdkLCvwdqhjX4OZUrlUC3+fDRo+uDkf8TQJQkJHt7kUgk4LJtTvFYDI7r4s6dO/jud76DVDqNr/3BH1B7JaStvQJAzBRhRMRttgqIro+uggAZApazgLFQhDPxuPHBoe5cFPREAiCkts0efm8d2mt4k53QxC8/XlhAPp/H+NhY5GsY1SoEQaD+s9lxCaFLhTQNrutGnrfPfKwYWs4BIKh8B7SdULDKlVfC/prrsvKu0a49e5Bew4NWYXyi7yqiJCGRzQacNMMwUCgU8O1vfxuqpuHzn/88ckz4XwAN3n7xc58DIQTf+973Il8zlU43tBg9zwsmizOZDAYGBhDTdeTzeSzn803PTwCig0+WUYHt/a6/hDt1fkAo+2vyuNu3b6OrqyuS/2lZFmzHocLGzYaZCAGYgUisfUEYhSAMj1VYRUkKDIk7MkLodg2Z7S8Psl5mUNyYCNs979g2fNdFLBbD/gMH1p3f/0TQUimkUinoug6bVUCKxSL+77/6K8iyjC9+6UsY6OsLplh938fnfumXACDaZgW65rS+K8Ir+olEAj09PcjlcrBtG3Pz80Gy1/BSLa4zPuAZVD/q7FogBMZr91D49kUs/5/n4OVr7yEEwMq/v4uVv7mClX+9DmK5kfeGQqGAmUePsGvXrobfcekZSRBays7warEgCEgmEpBYQl/vtAinHzF75fw317ah6zrirADgs2G4oGMSOhZfTsIrr9t27ECunRzeOj4xUHQd8UwGiXgcvu8Hsod//dd/DUVR8IUvfAHdXV2ru+h9H7/4S7/U3McKAuIVD0ZdruXIgCkSyA6QrAK5ogBRFJDPAqYX3SEQwILICDuSmX6sZdtBslYzRd/Be/eihprr4BOCt958E/v27WtQMeE0OI8Qmvg1u79wG2RBK6cH1A9iub6/Wjllr28YBoxqNRhglkQxoA5EfS68E0IIgeM46O3vx/YmnZy1iLXNsO0AkqZBZ5WIqmEglUrhD/7wD+H7Pt3sVKnUaI7u2r0b3/nOd5oGQfFYDK7jwGVcWAAwTBOu59Xsru/r68PS0hJWVlbguW7kKkRBECDyC6gOiqLQlp1pUn5J3e/5PvVm4MLFrYLbcqWCyclJPP/88w2/s9kSBj5kFQleBQ2dh6wo0GOxoNWoMAMi7JwFQaA3NtOEY9sQWJArNFljyW8CjuvCrFbhE7rwoGqa2Lp9O3p7e5u+v3V88iCKIrR0mkpYMQ56LpvF73/ta3TjGVuGEcg+CQJ27dqF73z3u6ttsLprPpVO///tvVmMJPd95/mN+8jIzMqsqqyq7rqPvptsdjdFU6IsmTK90pMwL4uFhoYJ2B5BGIx39mFmAdsPWlmDBWb8PMAAgwW8TwPsg8mZtReyDnskeiix2RfZZDfFPsi+6uq8MzLuiH34HxWZVdXdokSzuvr/AQpsVlVGRGbFL/6//+/4/uC6LkarVdIgRWW0DNrcAAClUgmKoqDRaGB1fR0TdLDHtuuTcrJqOSSazuN1oUM/7/+PW+j+9cVd33cqA8l6B4mfwfvoAaLbDVS+/eWB38kAXLp0CcePHdumhpHSzRxA9DJ3jdQMdQBLsgy7UEC314Ofk+dK6AQcFvENwhA+dcatnI60BBKtHbhOWsbTpxJ9uq7D7fdRrdWwcujQrp+B4MlEdxwkUUQUefp9lMtl/Nmf/RmiMITrugiCgNuZJEk4dvQo/m9mr8MkGcxWjHpVQgZSYpJKQKADiDPoNFGixUClJcFdLqJZzqD0ejtmHCRZhpym2ClvYtFosL9Dij2fNdiNNDeVbrdmqxs3bpDpeTuU2zH7YJrLuzJ0bMuyENM1lMlfgWrLs885oWUGaZJAMww+LWygBCKXwWTDdwI6EAhZBs0wcPwJaLTKsy9CV3qxCJWOZStQgV4W7WN1GvmpLkzWIaURnIGaLInorbpU/iaMIgRBAJMKFTMkScLY2BhGymX4nof1jY1tkRt2G8qStGM6wab6o0EQbLtpH2lMtH6VN6DscPx333sPKysr2+pmoigiaQpF4dewI7ulW2hJA2scY00YMpU66dE57LphwGF1sbvUHDEt277rkmiZ48D3PIyPj2N5ZeURn4LgSUTVdejFIgzDINrGEhHsl1UVURSh1WqRDAJ1UHk0Pk2RZNtlz0rUXiW6OfQ8j+gKD23ECoUC2QBlGVbX13dNF+6W4tcNA6osIwgC0iSYu47g8l08TN8jY30S9BERXd9E0hssY7hz5w6yLMP8/PzA91l5Q5qmpJ50l7KC4bo2BtuUxnGMMI75ppK9V9d1SXMVrX3VqEb1Tp9BSiMz3V4PSRzDtiw+cOWokJ3bl8iyDLNchqrrKNL7I45j0kAoy2g2m7wfQ8JWuj3LMr4Ws/syafdh9gHfkiBJxChCnWygzFyPlKTJKP3OYSy8+hWYloVGo0EmRQ7BmiV3SvHLsgzLNJHQe3bbax8S7MmyDGmS8KjoTtFR3/dx7do1PPPss9t+1vc8nqnYNXu5G5LEN5Z+EJDnWk5qM/B97tNYhcLWc26HzTzoe2cbC13X+dCl+YWFJ055Z184rABglkqQZJnI1pRKUGQZBn3wdjodrk3I/pz5mzXLsq2FMMsGGq8Cz4ME7BqFHBkZQXV0FHEcY219fcAw8rfOTje8rChENopO2BjmYU4rcxCH3wtjbW0NvW53myZcHMdktKIsw9lNsPhRJQmspAFbtYNxHCOizipoCoQ1qwxPrWIkSYJOt4swCIjER7GIvu9DNQwsrqwIwfF9jGHbUA0DiqqiVCqR6U1U8qrf76PT6XAhfGDrHmep54TqLg83SrJRirtFIU3TxOTEBDRFwcbmJunKzcEWwN2cVpbNCYdqZuWyiYe1cqT0RzLL1ukyZGtrIYviGO9duYJnT50afB1tWMyShDRS0fHMw0g72NfAdVOpusD3+XjIiDZeRHEMwzB4SpF/DsNkGfquy58fxWKRNGL2+5iZnxfZkH2Moqow6BrLAkOyRIbdJEmCVqtFptXRZ33ebllDcJqmCD+uw/KAwAAgAZkiI6SlADLdzJmnZzD6v/8enK8fh2oZmJyYgF0ooNPp4EG9PlCHnr/jd3JaDV0n930QbKtff9gqx2yJ2cNOtvXelSuYn5/fFvn1aHZRN4xPvYYptG6eT9GjwTWfTvdUaDOkRoc4kDe0/R35YUh8nyRBoVCAZZpot9sYn5jA/MLCE1du92Rd7UOQFQVmuQxIZNYxq5MzLYtMqwkCdLtdhGG4bREEthbClNZbtlstJHGMKEmI1utDnDjHcTA+NoYsy7C+sYH+UH0nv8YdIiCmaXKB/rxRsJ0qS7czWLoypvU1O0VXkzTF5XffJXU1uWgMH61IC8B3vVkfo+lL1TSoqoqANqJ0+32EYcibs/Lp1m2RnyxD4PvodDpI4pg8AC2LlBFEERaXlzGZG0Up2J8YpRKfmlOwbTiFAizL4h353W6Xaz8CGLDBfNS1UCig1WwCWYaQpicflubSNA0TExPQdR0PGg00WUR3+BzZdjkolS4kURwPbDKtLywAYOk3AGk2oISRApBSgBm0dXYekrJ19KtXr2JiYoLX3LNj9V2XyFfRzt/deJizioxo3eq6jgzEOXZdl6dKC0yvkb1vbN8sx1FE1Baolq3jOECWodls4sDMDJaXl5+4xU/wq6GbJgzHQUbLtpxiEZZlkahfGKLveURakkXvc9lMRtJwkSUpdD9F38gQ0VvaiABtvoLqn3wV5W89D2Vkq0ZbkiSMj42RgIbrYn1zExHNZj5q6MVwtDIPW0sHGgrJD7beAx2QM2xfD+p1PNjc3DaIx/d9hEEATdN2VbZ5nB4ViTaUgpY4+UEAt9dDnCRcapIpd9A3M/D6NEnI5tJ1IVN/SNc0tFotOOUyDh85smOJxV5nXz1hVF2HQbsVWc1ZtVIhc7fp3PpOpwM3twiySEr+hhwbH8fG5iYR+k3TR8/7Bak7qY2PQ5YkPKjXUW80dpR/GbjJABKtNE2kGdGNY05zQo2GGUuabclWpWlKJK1oLQqvWaOG8NEvf0m6oycm+GmSJEGv3weGnNUsd8M/riEhywBaAB4EATbrdaRJAsdxiC7kDlOw2DnCIECn24Xv+5AVBaVymY/D7fX7mF1cxPz8vFj8ngJkWYZVqZDsgyRB0zRUKhUSWaD6j71eD51uF0luSsvwfVoqlRCGIYnWRxF0Xd+1o5ehKAomJyZQsG10O51t2REAAzaVh2UOXFpznWYZ1KVRqPNVpFmKLEuRgjmr5DWJAkh00hUUwHn5CD92u9vF7du3ceL4cX6OLMtIA1SSwLasrZreoWfHY0HtUdM0xFGEZqMBj84yd3JRW3a0/CfHmjSYMkjBcYgDkGVotFoYn5zE4cOHRTbkKcFwHGiWxZtwS6USSuUysjQlA2b6fbRbLYQ5DdT8s1x/5iAgA+WuhEY5QyAnkFUZ5X/+PKr/8qvQ5kZ3PXelUkG1WkUSRVhdXSXBl6HfyZck8HPqOlRVRRgEiGlmJqWbSGArUJV3TPkUPtpELJE3QpoQAbx7+TJOnDw5UJsa+D6v5x1wVocCUQ/dXGLLH5FkGbIso91uo9vpQFIUlIeGKAyrJWRpCt/zSHAujqEbBoq0Kb3T6UAzDKwcPozR0d0/573MvvMKdNOE7jjEuaOp65FSCaqqwtB1xHGMdquFdrvNG5eAQaMaGx1Fu93mIucsnc0dUJreGMYwDBw4cABOoYB+r4fV9fUBw2UMO62qpvERs1EcD9bH7XBzM9FuhRpQfuHqdLu4fuMGns3V1bDuX4BotG2Tr6LHeJQhkcuhBdx0xnoQhnzil2VZA7XCeWJa9+bRmdC2baNI00pJHKPZauHg7CxWVlaeqCJwwa+HLMswKxW+6VIUBaN0spxO54H3ej00G41tQuD8wS5JGKvVsL6+jizLoKoqUoDXp+8UIWGvHx8bw+joKNI0JWU0Q2oDvDQg93pZksiISboJZqUJ9itHdy0LyGSS8syQwXxhAfIIWdDSLMOFd97BsWPHeNkRc1aTJIFlWdvrQtkG9SH2mlEHnzVIxXEMjzaMBWEIkzqrA6nb3OtZhMalpVSWZZHMCX12tFotlCoVHHpCIzWCT49JMyPM9irlMpxiEYosQ9c0eL5PRpnTumtga6OpjhZQ/l+eRyXS0a4C6qFxTPxvr8B4dppLpu3U9MgoFouYnJyErqokyjlUIgAMNR5RdF1HSiUW2YjZh613CS254xvknL398sMPoWkaZqan+XUGQQCPNjQNDMUBBiSoHrbCslekacrH4QZUcxmStDWhb5dgEMtKBbTEzikUyOYa4INGFldWdmwQe1LYdw4rQOrMNBq1BACnVIJKJ0yMjIxA13X0ej1sbm6SKEnuhpfoolkZGUGj2dwuVcG+hiKfeUdtdHSUFDOnKdY2NtDZQdicNSKlbMa6YUCi02mGI7DDsHSFoigDhpEmCc698w5OnDixpZ+YkRnqWZrCobqM2xh2vnPnZw8P9h6ZVFWfRWvppJ18l2iefIQGIB3ORTqPnDkVjWYTtQMHsLKyIpo2nkJUVYU9MsIdTFPXodOayxKV1AnCEJubm3yjye4zmW7aJmo1bG5ubolqY3udejpkr8xmHcchda26jmazic3NTSS5dL+ErU1mRiM0qqpCVRR4vs+bLfXlcegLO0cuMonUr0qyTKKrlGvXrsEwDCwuLPBIDjumaRg7a63u5KzusMFldYNsvHFEm6TYBnmnCUL5CE0UxzBME0XHIX8PunC3Ox3oloWVQ4dQFRJWTx2SJMGmmZEsy8gkNLq2OI6DcqkEAGg0GqjX6wiofB0AQJZhnpnF8rd/D70xDYVvHIdq7PDMz62vWW7jCZCSnsnJSZRLJfT7fayurg7UlDNNcibvltAGTt00kSTJQGnATllQINcjkg1Odmw1m7h58yaef/550uwFqo3s+1AVBYVCYdtzZ8dz5L7H1lde5xsE6HW7fJS0SWv9VaqZPOAT5LKWge9DUVWS6aSlVRKIM+32+5hbWsL8UEPnk8a+dFgBwB4ZgaJpXJrCMk1SCK3rqFarvFas/uABNjY2BpsvJAnj4+OoNxo7PtSBwYgsT+PTwug0y2DZNiYnJmAZBlqtFtbX1/kiyDoQ2e+yXZxNJ2D5Q8Y3TJLSEY/AgDG9/8EHKNg25ufmABDd2V6vB1mSUCyVdpyJzMsJcos4X9DpZ8Eca9d1+Q7VpguZpqpI4nhQIijLENFi73yEpug4MAyDR7+zjNTAlUdHcejQIRGpeYpRTRNWuczVARzH4RvJcrmMsdFRGLqOTqeD1bU1tFqtLVWOLEON2utupSTDgzXY4sC+FEXBRK2GcqkEz/exllMRYIoiCZPPoTZp2zZkYGucoiTB/r2ju6oFyAlg5aKrjXodH9+6hTNnznB76LkukcKxrIERjlluccvDIqh8E51rcmERF1YmUaQ1hzzqlfusWAS2k4vQlGgfgKwo/FnFyiCWVlYwNTX18D+qYN8iyzLsapWvFRa9T4IggFMoYGx0FMVikW806/U6gjAkjiQAwzShGwY6nc4jy78ySeIOXZIkSKgtjIyMYHxsDBKAtfV1tFutrddkGRKarQSI/euaBk3TiGB+TtFnp4bohD4T8hnMOI5x7tw5PPPMM2QcPEhdrOd5UKmjuFMNbT6Sm+XW1oFyPJCG0W63i77vQ1ZVOIUCrxVPchKSAN1YUvtmWcuC4/ApVyyoFccxWu02ZhcWsLS09MSX2u3r3KtdqaDfbCIKAqIdSjvsCrZNGg0sC33XRa/Xw4N6HVq7jWKxSORvajV8/Mknj/wD53c83Mmj/5UUBWPj4+h0OkQQfG0NVVqjx3ZXeQkQTdeh0wYx1jjCd2f5SGocb5UDUDY3N3H3zh187Xd/F5AkImXR70Nh0y/oHPCEytoww0mGo6vAljNMHVWfDhiQAC5szAyT1/ApClI6DSUMQ67xaJomqSnMSXCxlEez0YBTqeDQ4cMDzSaCpxOdipN77faWTrHnQdc0GIaB0dFRBEFA6lqp8odt2yiVSigWi8iok+Y8ZKIM/+4uZTBOqQRN1/HgwQOsr6/DKZVQchy+0GZ5x1eSYBcKpIGJTnnSl2swFsYQ3qpvP7cE2L9DdErjKMK5d97Bc6dPwzBNrgaQpiks2+Z1uEnO/jPqNG9LZeaaW7I0RRiGCHwfKQBdVbnTyVKlzEFHliEMQ4RRRDbTtNTB0HXIisKbPtkmokPHXs8vLWH2CZg7LvhsUVQVzugo3EaDlN9ZFi9r03Ud5XIZhUKBOGGeh/7aGkzTRKlUgmmaqI2Po9loPHSG/YAVM3vNtupPDdNEbWIC9XodzXYbru+TvpXcus02q1mWwbYsdKIIfddFsVjc9TnBZDHzXLlyBZVqFdPT00Qxw/O4ZnR+kAdfU4cd0/yxacN0lmVks+h5fHRzIVezDmxNuJKobGQYBLzentXLqqrKNd/Z+/V8H51ulzRF7pPs5b52WGVZhjM6Cq/dht/twjAMsrDQznxFkriD6nkeOp0OGs0m2p0OTPq7IR2DyEoBdrq989+TpEHBf1mWiYEaBjYfPMD6xgZ0TUOFliawm5lFegw2r9l14TjOgKyGBOIgxklCFjS6+ERhiHPnzuH06dPQ6TAC3/d5rShrgsqyDIos7+ikDkDPwSZhAUQexDAMknIlb5SoFUQR0iQhwxWYEWkaDJp6ZJ8JI0lTRHGMZrOJsYkJHHqCC8AFv3lMx4GsqvBaLdi2jXanQ4YAGAbZAFkWLMviqh+9Xg+9Xg+FQgHVSgX1Bw8eS1uQ3ZHD9qpIEgzDwNTkJOr1OlrNJrrtNsojIyjYNolm0uxIkqYwaNTGp+k4VVVhvnIE/n96ky6S1MFMAPPkDJSKTQYEXL6MsbExTE5O8s2llGWwmcIG3QiyASIsk5JvEM1y/883i1QjVlVVFHLa0WwRi+IYaZIQSblOhzwTFAUWXSTZZpUdHyDPps16HbZtY3FlBbOzs098pEbwm0HVdRTHxuA2m2TgS78Pz/PIvUQbKavVKspJQuzVdbG+scHlJ2/duvVQeSkGX0PYekg3UayEr1arodvpoN5s4t79+3DoRlahG7UM4JFZ5li7tPGQZRchy5ByEVAl1zy8urqK+6ureOVrXyOby34fcRzDNE0u2s+QpS2dY2Rb9bQZMLAJjOg0qziOIUsSbKrZyjKubL2PogiSLKPb7RJtWPqM0unGEthS9pAkiWuh+0GA+eVlrOwjich97bAyrHIZiqYhazbR9zy4vd7W1CpJ4jN4mePa7nTQc10UbBu3bt3C0vIyNE0bGIO6o+PK6uokaSDSCgCarmN8fBzdbhfdbhfrGxso2DbK5fLWDU1T/bZto9frkWgwE/ZnUVtQ55VOvgCACxcv4sCBA6jVanBpY4WmaSjQ4m8WWWHnURSFv5bv9mjaM6ZNGawrW9c0mNRZ4NeZZYipsXU6HURxjITKf+maxtULhptVMgCe66Lb7+Pg7CwOHT4sygAE29BNE/LYGFCvQ1cUuK4LVVVJzTbAI4FjY2OIqNxS33Wh6zrur65ienoaBp0u8ziLIbdXbKXsZEVBdXQUpmWh2Wqh0Wig2+thpFwm+s7kl5EBsNgms98n9Z5L45AKGjKXbOAyAHIKOP/TMWRZhnv37qFer+Pll18mc8A9D7IkcZ1VRr5ON6VdywNNjbT0JgpDhLTcSFUUWIbBIzTsGAnVSW632+h7HizTJPZKO6iBnGJK7rMJgwAPGg2MjI7i0OHDA8ojAgEAyKqKAg0M2TStzQJDAHgz5cjICEqlErp0kwkQhYxms8mlEPOO2k7lcPw7OceVrXFOsUjq0Fst9Ho99D0PpVKJTFrMZRVVTYOu6wiCAJqiEFuh9a4sMJV3NIMgwIULF/DCCy8Qx7HXQ5amsC1rq8acrslsrZVledBppdcbxzFCarMpyLPHYlnI3BrNHFrP8+D2+7wm1bJtolqUr9PPZWCZJq6kKDh09CgWFhb2VRPz/nknj0C3bZRUFTGdpNNzXTKFaej3LMuCaZrwPA+b4+NYXV1FaWQEmqrCMAzulD1qMWQLK49WUN3UcrmMouPwa+h7HkzLgkIjKSpImN80TRLhVVXomsYNgcEarj6+dQudTgdnzpzhncWmYQzIauxo+DlHNqJp/IiOnFTohBBN03gTS0pTjTHVn2SpjCRN4RSLKOXSKwPnY6nXNEWr3UYcRVigu779kKIQfDaoqooiFaLf3NxEp9tFuVzmWsa861jTMFqtolwqIUkS3L59GxubmzwCYZkmNMOApqoD9jhMfiGU6eYtyzJYlgXDNOH2emh3Otjc3OSdt/nFskA3mX2aGRl57Yto/sef0oNLMM/MQq7acF0Xly5dwosvvkgaQHwfiizDcZyHRi1lReGZEWaLYRiSKCxIBkSnIunsnBGN3sRRxGtQgzCEyYar5J1j+hrurEpEC7fZaGDiwAEcOnwYIyMjv/LfUfB0IMsyClRCMqT9Cwptxs1nM2RJQrlU4mtgsVDArVu3MFGrQdN1XnLGIo2PzGrmHNyESi2Oj43BDwI0Gw2yzna70KnqCAv+WJaFOEnQ9zw4irKtGZlFbhPayDw3N4dKpcIH4xRo/0Z+Xc6n/gcG5oBs/Fg0FQA0VYXFNov0c0mSZMtm6e/16QS6UrnMyw6k/PHpZwBJQhxFqDcaKBSLWFxexsGDB/ddJuSpcVgBkr4Ym55GkmXodTroyzJs0ySpgNzvSbQeZ2V5Gbdv3+a7KM/z0HddaLoOTdNIETe96XbShwQGoxYSddxY9MYpldBqNNDtdhGHIRl4UCrxyVpxFJGpMjuIhiuKggcPHuD999/HF7/0JfQ9D1mawrSsXadyseuBJEGSZXiuSzqSaTRVoztPlZVAJAmpl8kZEEvzaJoGt9+Hpmm8ZlAeNiL6+1EUoRISFFAAACAASURBVNlsQtN1HDp+HPPzQmdV8GhkWUapVkMmSdhcW0On0yFlMjTSmtcOVRUFk5OTmJichOu6RJs1ihC0WlBUFZqqEsk7VYWiqpBVdceOUwmkEzXJLUQyiJxOgZYodHs9uJ6HOE0xQeuzVZpW93wfnufBWhjD+P/5TXjv3QOu/wIj3ziBKIrwP956C4cOHeLlSSodtPEw2OLESgeYLaqqCpPaogQgBZ30FUWI6UhMif4ea3bs9XooWBb5DHKLau5kpPmr04HreZhdXMTyyspAjZ5AsBtmsYiJ6Wnc++QTdLpdFItFPo2JpdrZWjkyMoLFpSVcv34di4uLCHwf3U4HPVmGpmnccVVpdnO4cRLsWADAZNzoeUzDwNTUFFzXRbvVQrPVItMvDYOPSmWZzJ7roug4A/qtiqoiTVNcuXIFWZpieXkZXdrAXKDPIHZ++o+Ba2K4/T5CWk8uSxLp6aBZyIyWAYZRxDeVAB2lTMt5gjCEbduwqPYzS/2zhmhW0hT6Pur1OkYnJ7GysrJvp849VQ4rQNIXtdlZxLduwev3oSoKeXhTpzUviWOaJg4ePIj1tTWcOHGCT8zyfR9+EMAPAvL6/BdNXaqKshWdzBdd5xxbTVVRm5iA3evh/uoq6o0GXM9D0XFQsG3YhQJJn9BUIx+bKEnouy5+/vOf49SpUzylz0a17QbbubEFLaYGYpkmP0YUx0RbMtdFyQwoP0GIRYc0KhcGDOrNge4Y3V4P7W4XlWoVh44cEZ3Fgl8JSZIwUqshAVBfXeWpRpnVeeXuN03XMTs7i3cvX8bx48eR0A0Xq68Out0Be5VlmUxsk2XI9HuSRITBh6MlAIlyVioVFItF3Lt3Dz06qc0pFFBwHJiGgTRJEIQhZEUhYyGP1oDrxPn+xdtvo1qpoFarIaaSUaZh7LjRBbYiqUkcE8HzNEVKx6iqtIkyTRKischmtmNrU6lq2sDoxnarhYwqdsjYbq9ZliHwPLRaLciKguXDh7G0tLSvUoqCzx6jUMDU3Bzu37pFyu9KJZ4mZylsZrsTtRquXb2KLMswXqshDEOSWQxDuJ4HmXbgM/tUVRUKs1e66QJypTIYzBYUCgVYto0HGxtotlpY39ggmsKOA8s0YVsWXBqIcgoFbhOKouDmzZtYW13F81/4AikfUFXeE7ITrFSOBXjSNEUQRdDpuinTxmTf98mGMtdLwjK4rPQJIFOzgjDkCgzAdpWQmGqY+0GA6bk5rKysoERlxfYjT+WTSFEUTM3P497Nm6S5qVgc6ABmjqum65iemcEvfv5zHDt2jHTx6zoKhQJJybHoY5KQqAd9vaIoZEoFvfFZl5+sKANOJ7vxbdvGGG088j0PzWYTrVaLG5UfBLwJiy0w//iP/4jFxUUUi0WomoaCZQ3Kc9AUCTOgJI65MLMky/w60iwb0MljqRCNab/RhX2YgDZ42La91ZEpbdXa9l0XHaqZOT07i2NUG1Yg+DSM1mpI4hitzU0iUK7rJB2e22gqsoxqpQJV07C+vo7JyUnSRWvbZLNJa8cS2nQEAAgCKJLEa7QVRSFRmiQhnfJ02kzeOWYTuZhtdToddLpdIsZPsyGe5/EFKgPw7rvvIk0SLC0tQZKIfrGmadvGLkdRhIh27TPJIAnE4WVKHxG1PYZC6/DYRnlYOxogG0wvCKAZBlRdR8Y25iCLYBSGaLZaCH0fhWIRp86efazmNYFgJ6xCAZPz81i9dQt910WhUOANQ8NBoemZGVy/cQNfOHuWjFM3Td4Nz9LozC5YJo/bqyxDpqV+zFZlRYGMLcdVkSQUy2W+8erlGsOcQoE3WPd9n0+1bNTruHr1Ks6ePUuGm9DrGoA2J7M0Pt800hp4RVGg0lIcz/d5eQPLyKi6zgNc2wYNZBk8zwNoIzaDN1mmKWli63YhyTJOnjqF2dnZfb+53N/v7iGoqorJuTncu3ULPdqEJYNKOWGr3qYyMoKRchl379zB3Pw8ALJAWPQGTljUMh8FyS2IkiTxhgi+GwRJM8o5ZzBOEiKqXyoRfbVOB51WC13qOLMdY5ZlOH/hAqrVKqampkhziSzDpxOnmGRUlDOgvBPNaopSADGtwdN0fSDyNExGu5X5/wNwu13StZ0raAetkWu1WojDELKq4pnTp7GwuPgZ/AUFTxvjU1OIkgT9RoPfy0yDlGUuLMvC3Owsrt+4ganJSWJr1MHVdJ1PfYpzUZCEbTgBXpcd56Tj2EIj042eJMuIaefu6OgoH6bh0dndiqpCoeU/rBFjc3MTZ86cIalOw0CYJLwGlV3LQJSUnktVVX4MpiSiqipUWd5xscuT7/b36dScUrnMJa2YrF2n0+FjLg/OzuLUmTP7fuETfPYUHAfj09PYuHsXHmvCynXhyzRFPzM9jZ/+7GckGknrTFk2z2L2QW00oTabUltJJAkIQ/hBsK2vhNmQJEmIkwRJmqJcKsEpFtGjU9zqjQYPLMVxjETXAbrGPnPyJCyqSiJJErx+HwlV5IiTZCCNL9EyO42WGwHguuyqokCjKX5llwAQkFMuARDGMfqex2vxWQaEZVQ6nQ7SNEWxVMLpL3zhqakvf6qfSoZhYGpuDmu3b6PT6aBYKGzd9FRWRtM0TM/M4KMbNzA3P89/BpAbS1FVqLQpikUwhxfEDLS2LJdmTAAgN7u8T2vTDF1HBvCuQc/30Ws2EcUxAtoUFScJqqOj6Pf7cPv9gffEIrcydUQ1lo6g32P6ipIsE23VHRY77qBKgx2IjIDq2VqWBV1VSfTG99Hv9xH4PiRZxkilgmMnT2KsVvu1/04CAUDu7ckDB7CWZeg1m6RLly6CbCGUZRlTU1O49uGH6PZ6KFLhbb4Y0EWS2Vm2w4IosX/T6CivG6PHyUDSdcyBZJi2DZ+qkARRhCgI0Gq3IUkS5hYWeKqTRVBYRoZFhlT6LNEUhdsp/68sIwUGBM8ZXAVk64MaVOfIMnS7XSiaRgTPaVal3++jT6M4tmVhYWkJy0eObDu+QPBpKVcqSNIUjdVVxHFMxPUB3rSYgjq2Y2O4dfMmjhw+zO9dJgOl034RdkcPB4myLIOSJNyJZTC7yGgk1Pe8AbkqJo/X7/cRhCGCIEAQhsgkCZOTk5AkMha6OzyumdqlqigwTJM4qdSG2YY2H4jajYc1bfdcF0kck0CaRMaXu3RDnCQJVFXFgYMHcfLZZ6HvE8mqx+GpdlgBogowvbiI9Xv30G23uQ4iu5kUugB+dP06Prp+HSvLy4O7OGD7gkg1S1lUJIpjMjWHRjQymibgs85BmkYGjsMcTk2DY9tod7tYu34dWZahWqnwhcs2TZiWtb0Wlzqou5HutMix95L7N3+PAE+V1hsNpFT1oN5swvc8Lt1RLBZRq9WwdPgwLFECIPgNoygKDszM4IFhoL25yTMTwFb9mlMoYH52Fu+cP4+v/PZv8/uc3+v5+1oiEll6tiVBF8cx9JxDyuw076AyeRpWk8eksWzbJs1Xnoc7t2+jRSM4En29YRiwaTmAknNGufbiQ2w2psM7QK+bld9ss3O24NPztttteEEA23HQ63bRZ+OoswymaZLml5UVjAnJKsFnQHV0lAzjuH8f3U6HD7JhGIaBhYUF/OLtt3Fwepo08WK7Q8c2i0zvOB911HSdq9fk19iMbTolCSGrnwX4a5nyT+D7eFCv45NPPiGTuKiKgK7rsGybjEelJX2Pba8syzrwJgY3k3nYd5nGtKwoiKII7U4HMd3oaqqKSqWCmfl5TM/NPXWZEGnb1JRBHvrD/USaptjY2ECvXoeuqrBMcyC6cv/ePfzi7bfx8ssvkwWSlgwAD98pgb4+CMPBaGVu95dmGTqdDpBlcEqlrZ8BvGnkw2vX4HseFqnDzMX/6aKkGwZMWkSu0egRc6aZwea1XONcGvRh153XhUuSBA/qdTx48ACaqhLpEaq0YNs2DNPE+MQEpufm9rMKwKP+3J83T43Ntttt1FdXkdHIDXMaJQCu5+Hv//7vsbK8jIWFBQAYEMV/1B8xpmm/bVAb8jwP/X5/QEeZKWIEvo/VtTVcv34dS4uLsB2HRG5zQuQqfcaYlsUnS5HDb9cvZucMwvCRnwlvpKILds91ce/+faRJwjuNdV2HbduwbRtOsYj5pSWY+3dzKex1jxAEATbu34ff7W5rEE6SBBcuXkSn18NLX/wiX1+5qs0jjp3Q+m8A27OCNIvSardh0ylyANnoJbkRp5cvXcLY+DhqExOk6TjX0CUrCpGLpKWAfGwrOx+9zrzdBlE00Fi1E6xvhpU2BUGAe/fvw3Vd3uClqipsy0KhUCA1v/PzqO7v+vJd/9zCYc3BZtu3Njch0XnebCeYpCkunD+Pbr+PF3/rt7YmPlGknHEB2z/xKE3J+MNdcPt9pHGM0sgIsjQl6QkqOfXBBx8AkoTjR49CN01IWYY+1W9UaINH4HkkPQJSHytpGnQadVWprI+qqrzRI9zBmHjKhRaSs4L3MIqQRBE830e704GmqhgfH0eBRpMkWnM0vbCASrX66f8ATwZiAdxDeJ6HzbU1RK7LJWMYd+/dw9vnzuErX/kKio6zlSLEVlRS2sVeE6qYsVs0JI4i9Ho9UhOqqojCED4dr3j//n188vHHOH32LNdE7na7PGsS+D58zyM2CPAMC6vby3+xdGNMGyjzMOecTcNh8jgRbQYLwxDNZhNpmmJ8bAyO48AuFEg2B6Qm+MD09H7eXALCXvcUcRxjc2MD/WaTd8YzW+z7Pn784x9jeWUFi/Pzg46qJBEZul2cV76m7ebPZBla7TaZTGVZxFH1PER0cMflS5ewtLyMWq3Gx7jHdABPmmXEZn2fj0qW6drL7VRRBnpBmObxbtca5ew0ovrmER3E43seiqUSKpUKCrbNVXgKjoPZpaV9M7XqIQiH9VfBdV0063X43S5U2snINNF++MMfYnFpCQvz86RTEYORSD4lA1t6cyztnyYJl7jKRz0BsvB6ngfLshDSYm4JwHvvvgvDsnD6uefg9nrEiVZVUnvjeVAUhQxAkGWEVGorzokPx0lCIjRsYaZNZcOLMR/3SKMz+ffFFrhOtwtFUXBwepp/T5IkjI6PY2pm5mlJT4gFcI8RRREajQbcVgtpGJLaaroxO/f22+j7Ps6cPs0f/CwrAWylzXkkh2UUaAo/oZ3Nw9GTJEnQabd5I1eSJFAUBXfu3sWdO3fw0ksv8e+ZpokkSdDr9Yj8HJ1oldBSIdZlHEUREto4uU2+hjaacKgds2gqsHVjstKgXq+HOI4xMTnJ06xZlqFYLuPA7Owj9V/3CcJe9xhpmqLdbqNdryOmnfnMcb13/z7eOXcOv/Xii6SRKLeG8ilsufUV2OqcT7KMZDKG+y9ofXun0wFAshsRLa/xfB8Xzp/HyZMnMV6rIQgCFOj0RbfXQxRFfHhIlqak1tX3uXQVa9LkZTj0nCm9Fg6zV/pvYCt7y6KoPtVwLpfLAzqqqq7jwMGDGH16+kGEw/qrkqYpXNdFq16H3+tBo9IWm5ubePvcOZw+fRqVSoWPQHzk8ejOLC9Vw2pCQxqt8fp9OMUidE1DmqY4f/48yiMjeO7UKYRRBK/fR4FKcEGSEIUheq4LhY5zzcvZsFnLrKYnohJcYRjycoABiZHctcqKAl3T+O7R9320Wi2EUYTxWo1M+AAwUq3i4MzMgOzGU4BYAPconueh1Wyi324joylwAPjhD3+I+fl5TM/MPFT3NE+WZbwphC1CErXfOIrgBwHarRYMOktc1TR89NFH2NjYwEsvvQTDMNBpt0l9OdVCZU5rQpucWPcvPSHfNDKVAjYmmWU6hmvm8vXuKhtkommIk4R8Dv0+SiMj3Fk1bRsHpqdRrlR+Y5/5E4Cw1z1KFEVot9voNhpIggA67f1459w5eL6PEydOoDAk6P8w0iRBSjdwXDmEnicMQ3Taba7Nqus6ms0mLl68iDNnzmBqagrdbhcA+JRIJs8YUvUCVgoogT4fcg5xGIaIkgQxVSxIaN37TvYKEKeZ9ahIkoRut4s23QCPjo6SZkxFQW1qChNTU/s9CzKMcFg/LWmaotfrobm5icB1IUsSbn/yCT7++GM88+yzGBkZIaMaH8Oo0jRFQqMxIV2IkiSBBOAnP/kJfvbmm/i3/+bfIAwCXPngAxxaWcHKoUOQJYmMXU1TIm7MGkRobU6v3wfSFKZp4uOPP8b3vv99vPYHf4BXXnmF179l9Pysti1NH15bA4BPxnF7PcRpinK5zEWXD8zMwCkWf81P94lELIB7mCzL4Ps+Gg8ewO90kCUJeq6Ld955B0tLS5iamnrsRZBt9piEDdeCBLHXf3zzTfyv//pfY2RkBOfOnUPBcXDmzBnomoYwjuH1emSDyRY5kMhs33URxzFUVcW9e/fwF3/xF/iD114j9oqtbEe+aWQndYDd3nu324Xn+7ALBZRLJRimickDB1AdH3+s59Q+Y6+/4afaXgHiULaaTXQbDcRBAAnA+YsXocgyjh49CsdxHi8wlGU8E8EioGEYIssy/PgnP8HPfvpT/Ks/+RPMzc7i8uXLqDcaeP7sWVRHR7dKBugkrHxjlud58HwfiiTh3r17+P6/+3d47bXX8Mrv/i7/HXL6jK/ncS7q+qj33uv10Ov1oOk6yuUyDF1HZXwckwcPPnZAbJ+xq80+FTncXwdZllEqleA4Drmx2m3M0WEAly5fxuFDh1AsFmHZNtScJiJLS7Dxazx9kA1K8LAmKYDUxb377rvQNA1f/vKXUS6V8Iu338a1q1exubGBT+ic9C+/9BK+853vcL26UrGIvuui73mYnJrCSKmE8+fPE4OiZNSQQAvNH/UUD8MQLhVYliUJo6OjmJyawtjEBOynI5UoeAJhWqwHpqeJ89ZuQ2638dxzz+HihQvwfR+1Wm2g+WI4cplQzcY4irYtPDqVxAJIzd2du3fx3pUrOHniBGZnZ3Hu3Dl8cPUq1tbWsLG2htW1NXzpS18i9gpSO+s4Dp+YNzExgero6DZ7ZRkZSZZ5icDDbDah+owerWUvlkqYmprCWK2GcrX6tEVoBE8QmqZhvFbDSKWCXreLXruNU6dO4dLFi3jv3XexuLyMgm3zwNDwhDume57QMacAuNSdqijQDQMSQIIv3S5+9KMfYWJiAl/7nd/BhYsXcfW//TfcvXsXjUYD9UYDZ8+cIfZKgz0Wla7quS4mp6ZQq9W27JVtLulzQmb2SjXOd4NtLt1+H34QkIblWg21yUlUx8a4TyAYRDisjwlzXEulErIsw+TsLPS338a1K1ewsrKCvufxWpzhG5UJGLMUIJPHkFhncJIQIWAq0fOll17i06Nef/11rK+uolKtktqazc2tA7MCcLYIhiE8z8Pps2fx87feQs91eXpjoOOROdMgNa35jso4itD3PJ6OtAsFTM/NYfopmKIh2D8wx9WyLNQmJxHOz6M8Noaf/N3fEWm4apVL0G27ryUyQUfTNGgAF/tmnfxMxzSJYzQbDbz8ta+hQLvsX//rv8btu3dRGx+HTWvhBg4ty1xOStU09F0Xp06dwrlz59Dp9XgGhcFSjwMR4VwZQUq7nH1aVyfJMg4eOIDF5WVYYmMpeILQNA2VahWVahVJkmD84EH83d/+LW7euIHZuTn0ej3ohjHQWMlgUyRtwwDoVLi8dBZzan/5y1/ii1/6Eg4ePAiArK+3b99GtVpFdXQU6xsbA8dl6X9VVVEqleB5Hk6ePIkL58+j3emgVCptKQrkbFTOnXtYHcinDdVs7PLY2Bjml5Yw+nRmQH4lhAfyKZAkCQXHwW+//DJK1Sr+4Uc/wvz0NGZmZrhsjE6LyNkEDAarYQWIc/jxJ5/g5vXrqDcaSNIUc3NzW6NOAfz+q6+iUCigXC7j/v37+D++973hi+G1MgbVdjx69CjeOXcO586dw/Nnz0KnGnLs/Pyl9PUA6d70PY93GxumidnpaUzPzoqRqoInHt0wsHzkCCrj4/h//st/wYNGA0uLiyjYNmQ6uY7ZiEwnXAHgsnP0f7C+vo7r16/j9p07iJMEJ44f5127WZbh1d//fZTLZdi2jfv37+P73//+4IWwGna6cXWKRRw7dgznzp3DhXfewXPPPced2QGGFrI0SUiUNggQhSFkRcHY5CQOTE+TGjix8AmeYBRFwej4OP7nV1/F//tf/ysuv/celhcXMUUbjE3DgEr10vP2yrTO2f/3ul1cv3EDN27eRBzHOHXqFMZGR7kNvvrqq6hWqzBNE7dv38a//w//Ydu15Ps8bMvCyZMn8fbbb+PixYt49plnoJsmDDroJ8PgGksPgCzLiJIIbbKM4hjlahUTk5OYOnhQBIMeE/Ep/ZqcOnUKhw8fxptvvomfvfUWFmZmMDk5SabwGAZ0w4Cad1jjGM1WC3fv3MHtO3cwNj6O02fPotvt4sNr18BGnEq00/DYsWNotdu8ODvfuMULwAGe5pckCadPncL/9Z//M65evYpnnnkGQRBApU1UAHi0KKPF4kzeI05TaJqGg3NzmJiagkO7mQWC/cLo6Cj+xXe+gytXruCn//APGLFtzM3OolQqkaYP04SeT59nGXrdLtbX13Hjxg0oioLl5WWsLC/j2rVrJGWfJHwE5PHjx9FzXUR0qECSc3i5rrMk8WEEkiTh1LPP4j8FAd7/4AM88+yzvJFS0zRkNNorsRGTVF6OSd5JkoRqrYbJgwdRLpefBskbwVOEoij45j/7Z1hdXcXf//jHuH7rFg4tLqJarRLRf/qV36AFQYBmo4Gbt26h0WhgYWEBi4uLeP/996GbJuIkgUGDSceOH99qXlYUPnAgD+v/YPZ68sQJ+L6PK1eu4LlTp+B7HnyqdqDIMpAbLpAmCen+p4NIkjhGsVzGHN1YFgoFsbn8FRDeyG8Ay7Lwyiuv4MUXX8SbP/sZ3rl8mXT0WxaKhQIMXUcQhuj3+4iiCLZtY3x8fGsIAYijyYT8wyjio1mDMESWpjwNkuVv7mxrEICcK/7WDQNHjh7FhQsX8Id/+IeI4xiB7/NjxTQ9EscxFEWBahhwKhU4xSJqk5MoFovCURXsW2RZxjPPPIPjx4/j8uXLOH/uHNrNJnRNQ8lxyNCQLOOjEC3bRqlUwunTp3n08vw773AJnSiKSM0ZbbqIwpDbL5e7G3JamTMLEHs9fuwYLl68iD/+4z/mi1zf83gjRxjHSKnElqJpsB0HxWIRlbExVCoV4agK9jVTU1P41quv4s6dO/jZf//vuPLhh8jSFMVCgQ8N6dOxyKqqolAoYGZmBl944QWoioIPr10DQPSOYyrpmJ8sNZwNHW5Gz0tl6YaBEydO4NKlS/j2t7+NjJYIMR3kLCO6yAmrPacqPgXHwQgtPSgUCqKu/FMgvJLfII7j4Ovf+AbwjW8gjmM0Gg3cv38f9XodhqbBMgzoisLFwFUqD8VcUOawRnHMG0IC34eiKI/VLSjlnNYzZ87gwoULuHb1Ko4ePw4AyHwfqSzDKRRg2jYKxSIRE7dtLmEljEjwtKAoCk6fPo3Tp09znca1tTWsr68DWQbbMGCoKlQqEs5KBvKLGdN0TJMEMtVCzrLssaTe5NzkqzNnzuDihQu4du0ajh07BkOSkNG6VNM0UaLqHA790mjGJF+nJxDsd2ZmZvCtV18FQGTsNjY2sLq6Cs/zYOs6DF2HLstQFQWyokDGkL3SzCLbZLIhOWwAzm6wn7AjMXv94IMPcPz4cb4+Z1kGSVFQGBmBRZ3pYrEIg5blMYk7wadDOKyfEaqqolaroUbFfvPNEb1OB4HnwQsCREEAhaYIWS2O7/vQDYMPACgUClyais9IpufhTiqt3WGKBEeOHIHjOLhw6RJWjh6F4TgYnZpCsVQiE4FoBEggEBA7KpfLKJfLOHz48Fa5jO+j1+3Cd12EQYCATqxK0hQK3XCycayarsPzfb7xY3PO2dhFLoBOz5kye00SHD16FHahgPMXLmBpeRmaYWBsZARlGj01TVNsJgWCHJZlYW5uDnNzcwCIHTLxfbfdRhgE6LsuV+pRVRVxmkKJY7j9PkqqCtd1Adp3ktEmxryGObDlrKbUnpM0xZGjR2FZFi5cvIi5hQVYlgXHcXCwUiFjyg3jaZWk+kwRDus/ETJNC9i2jUqlwjUde70eQt9HP47RdF3IqoogirC+vo4sTaGpKp9sFfg+CnS0YrfT2ZoCIpG5y4qqQtU0GKaJA+UyzFIJb/zt3+LPv/c9HpERCASPRpIkXh9XLpf5JKp+vw+/34cXx3jQagGKgkyWUW+1+ASeQqGAbqeDIAjgOA4UVeX2yo7NO5mp4H/t4EEUymX8zQ9+gD/97neJQgGrWxcIBI+E2UyxWEQ6NoYwDBEEATzXhRvHWG80AEWBZprodjpkHHqa8tHJQRCgQAfwdNptAHQSHvuiEVLFMDA5PY3S2Bj+vx/9CP/2z/8cpmlC0zSxqfyMER7M5wBXEtB1Ph4xAXD1ww8xOTODWq2GTqcDSZJ4jWuSJPhkfR0f3rqFhSNHMHvoEDckOSfjkf+6c/cuQOV9BALBp4eVzFiWBYyOIgFw7aOPMHHwIKamptBut5EkCR/jnKYpPllfx7WbN7Fw5Aiml5ehUJ1mphCQ/1JVFZ/cvUtGtwo5KoHg10KmkylN00S5XEYK4MPr11E7cADT09PodrvwaTbEpDXrdzY38f5HH2FmZWWbvQ6vsaqq4tYnnyDLMpTL5c/77T41CId1DxHT2tWRkREyR3mIYrGItfV1RFGEsbGxhx7r5s2buHLlCv70T//0s7pcgeCpJkkSaJrG60qHYfYahiEvDdoNYa8CwWdLSlVwmD7zMI7jYFXY655GxK/3KW+88QYA4Jvf/ObnfCUCgeBRCHsVCJ4chL1+PgiHdZ/yxhtvYGpqCs8///znfSkCgeARCHsVCJ4chL1+PoiSgD3O66+/jtdffx0AsLa2BgB46623ll+NugAAAlBJREFU8NprrwEAxsbG8Jd/+ZcDr6nX63jzzTfxR3/0R6JpQyD4J0TYq0Dw5CDs9clCOKx7nEuXLuGv/uqvBr538+ZN3Lx5EwAwNze3zaD+5m/+BkmSiHSFQPBPjLBXgeDJQdjrk4UoCdjjfPe730VGR7Hu9PXxxx9ve80bb7wBx3Hw8ssv/9NfsEDwFCPsVSB4chD2+mQhHNZ9hu/7+MEPfoCvf/3rMAzj874cgUDwEIS9CgRPDsJeP1+Ew7rPuHz5MpaXl/Gtb33r874UgUDwCIS9CgRPDsJeP19EDes+44UXXsClS5c+78sQCASPgbBXgeDJQdjr54twWPcIX/3qVwFgx4EBAoFgbyHsVSB4chD2uj+Qsix72M8f+kOB4Clkr+uYCJsVCLYQ9ioQPFnsarOihlUgEAgEAoFAsKcRDqtAIBAIBAKBYE8jHFaBQCAQCAQCwZ5GOKwCgUAgEAgEgj2NcFgFAoFAIBAIBHsa4bAKBAKBQCAQCPY0wmEVCAQCgUAgEOxphMMqEAgEAoFAINjTCIdVIBAIBAKBQLCnEQ6rQCAQCAQCgWBPIxxWgUAgEAgEAsGeRjisAoFAIBAIBII9jXBYBQKBQCAQCAR7GuGwCgQCgUAgEAj2NMJhFQgEAoFAIBDsaYTDKhAIBAKBQCDY00hZln3e1yAQCAQCgUAgEOyKiLAKBAKBQCAQCPY0wmEVCAQCgUAgEOxphMMqEAgEAoFAINjTCIdVIBAIBAKBQLCnEQ6rQCAQCAQCgWBPIxxWgUAgEAgEAsGe5v8HlkCOVOG39wMAAAAASUVORK5CYII=\n"
          },
          "metadata": {},
          "execution_count": 15
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# LET'S SIMULATE IT ABOVE!!"
      ],
      "metadata": {
        "id": "ZKK28E7SUURN"
      }
    },
    {
      "cell_type": "markdown",
      "source": [],
      "metadata": {
        "id": "YUkAk_Z3UTOI"
      }
    }
  ]
}