Colab_11_Correzione_dell'errore.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "authorship_tag": "ABX9TyMOEVi/j/xpXnb2xgXNod60",
      "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/EmmanueleVilla/quantum_computing/blob/main/Colab_11_Correzione_dell'errore.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": "cXUtezIfTFpf",
        "outputId": "29cd4a3c-bffd-43bf-91e0-e4bcaa404800"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "  Installing build dependencies ... \u001b[?25l\u001b[?25hdone\n",
            "  Getting requirements to build wheel ... \u001b[?25l\u001b[?25hdone\n",
            "  Installing backend dependencies ... \u001b[?25l\u001b[?25hdone\n",
            "  Preparing metadata (pyproject.toml) ... \u001b[?25l\u001b[?25hdone\n",
            "\u001b[2K     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m6.0/6.0 MB\u001b[0m \u001b[31m14.4 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
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            "\u001b[2K     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m112.7/112.7 kB\u001b[0m \u001b[31m11.8 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
            "\u001b[?25h  Building wheel for qiskit (pyproject.toml) ... \u001b[?25l\u001b[?25hdone\n",
            "\u001b[2K     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m162.6/162.6 kB\u001b[0m \u001b[31m3.0 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
            "\u001b[?25h  Preparing metadata (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
            "  Building wheel for pylatexenc (setup.py) ... \u001b[?25l\u001b[?25hdone\n"
          ]
        }
      ],
      "source": [
        "!pip install qiskit --quiet && pip install pylatexenc --quiet"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from qiskit.providers.aer.noise import NoiseModel\n",
        "from qiskit.providers.aer.noise.errors import pauli_error, depolarizing_error\n",
        "from qiskit import QuantumCircuit, execute, Aer, QuantumRegister, ClassicalRegister\n",
        "from qiskit.visualization import plot_histogram, plot_distribution"
      ],
      "metadata": {
        "id": "_gUJzymrauWB"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Modello di errore"
      ],
      "metadata": {
        "id": "fZZqFx6KbHcp"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "def get_noise(p_meas, p_gate):\n",
        "  error_meas = pauli_error([('X', p_meas), ('I', 1 - p_meas)])\n",
        "\n",
        "  error_gate1 = depolarizing_error(p_gate, 1)\n",
        "  error_gate2 = error_gate1.tensor(error_gate1)\n",
        "\n",
        "  noise_model = NoiseModel()\n",
        "  noise_model.add_all_qubit_quantum_error(error_meas, \"measure\")\n",
        "  noise_model.add_all_qubit_quantum_error(error_gate1, [\"x\"])\n",
        "  noise_model.add_all_qubit_quantum_error(error_gate2, [\"cx\"])\n",
        "\n",
        "  return noise_model"
      ],
      "metadata": {
        "id": "WmoEmNvkbFxQ"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "noise_model = get_noise(0.01, 0.01)\n",
        "noise_model"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "f6EveE37cA6m",
        "outputId": "9f3fb883-7bdf-4df3-99fe-67b1a98dd28e"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<NoiseModel on ['cx', 'x', 'measure']>"
            ]
          },
          "metadata": {},
          "execution_count": 5
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "qc = QuantumCircuit(3, 3)\n",
        "qc.measure([0,1,2], [0,1,2])\n",
        "\n",
        "simulator = Aer.get_backend('qasm_simulator')\n",
        "\n",
        "counts = execute(qc, simulator, noise_model=noise_model).result().get_counts()\n",
        "\n",
        "plot_distribution(counts)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        },
        "id": "ljAQrrsecMFu",
        "outputId": "3c9ef431-2c8a-445d-da53-f9c67069229f"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 700x500 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 8
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "noise_model = get_noise(0.5, 0.5)\n",
        "noise_model"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Mvz0rxX2cj33",
        "outputId": "614a0b97-39e7-475b-a1f9-14a7ae65c8b5"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<NoiseModel on ['cx', 'x', 'measure']>"
            ]
          },
          "metadata": {},
          "execution_count": 9
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "qc = QuantumCircuit(3, 3)\n",
        "qc.measure([0,1,2], [0,1,2])\n",
        "\n",
        "simulator = Aer.get_backend('qasm_simulator')\n",
        "\n",
        "counts = execute(qc, simulator, noise_model=noise_model).result().get_counts()\n",
        "\n",
        "plot_distribution(counts)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 473
        },
        "id": "7G-f4z5uc1Ud",
        "outputId": "c4349172-83f4-4827-c194-cc9e619f40d1"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 700x500 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 10
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "Pp76Plkuc3AF"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Conservazione dei qubit!"
      ],
      "metadata": {
        "id": "gQbRhcA6dJxN"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "cq = QuantumRegister(2, 'code_qubit')\n",
        "lq = QuantumRegister(1, 'ancilla_qubit')\n",
        "sb = ClassicalRegister(1, 'syndrome_bit')"
      ],
      "metadata": {
        "id": "l4l87m-RdL10"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "## Caso 00\n",
        "qc = QuantumCircuit(cq, lq, sb)\n",
        "qc.cx(cq[0], lq[0])\n",
        "qc.cx(cq[1], lq[0])\n",
        "qc.measure(lq, sb)\n",
        "qc.draw(output=\"mpl\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 320
        },
        "id": "KCtDltH6dXI9",
        "outputId": "bc982840-dd79-44be-dfbe-1edbc01ba632"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 530.961x367.889 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 16
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "execute(qc, simulator).result().get_counts()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "R1QWnKDjdzAE",
        "outputId": "bc05250d-642c-4f5e-ca17-0859889f3a4b"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{'0': 1024}"
            ]
          },
          "metadata": {},
          "execution_count": 17
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "## Caso 11\n",
        "qc = QuantumCircuit(cq, lq, sb)\n",
        "qc.x(cq)\n",
        "qc.barrier()\n",
        "qc.cx(cq[0], lq[0])\n",
        "qc.cx(cq[1], lq[0])\n",
        "qc.measure(lq, sb)\n",
        "qc.draw(output=\"mpl\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 320
        },
        "id": "2K36bHjbeDqM",
        "outputId": "917850d1-b7c2-4741-b174-246d641eb39e"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 698.184x367.889 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 19
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "execute(qc, simulator).result().get_counts()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "FlaalG5QeK2T",
        "outputId": "4de077b4-4d8f-404c-bdaa-bd2480eefcba"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{'0': 1024}"
            ]
          },
          "metadata": {},
          "execution_count": 20
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "## Caso 00 + 11\n",
        "qc = QuantumCircuit(cq, lq, sb)\n",
        "qc.h(cq[0])\n",
        "qc.cx(cq[0], cq[1])\n",
        "qc.barrier()\n",
        "qc.cx(cq[0], lq[0])\n",
        "qc.cx(cq[1], lq[0])\n",
        "qc.measure(lq, sb)\n",
        "qc.draw(output=\"mpl\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 320
        },
        "id": "PRhD70G_eRsL",
        "outputId": "16f567b4-41b0-4694-a195-b832b41c0c71"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 781.795x367.889 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 21
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "execute(qc, simulator).result().get_counts()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "SeYRNolGedmr",
        "outputId": "cba79aa2-7a26-4dad-b23a-20246c0095ad"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{'0': 1024}"
            ]
          },
          "metadata": {},
          "execution_count": 22
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "## Caso 01 + 10\n",
        "qc = QuantumCircuit(cq, lq, sb)\n",
        "qc.h(cq[0])\n",
        "qc.cx(cq[0], cq[1])\n",
        "qc.x(cq[0])\n",
        "qc.barrier()\n",
        "qc.cx(cq[0], lq[0])\n",
        "qc.cx(cq[1], lq[0])\n",
        "qc.measure(lq, sb)\n",
        "qc.draw(output=\"mpl\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 320
        },
        "id": "mE0RSmwoejJ7",
        "outputId": "1f041a24-296c-4bce-a132-6885d8a10167"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 865.406x367.889 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 23
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "execute(qc, simulator).result().get_counts()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "tK4nPUGPeuTb",
        "outputId": "46c6e046-fbe1-40e2-f89a-3ec478789eb3"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{'1': 1024}"
            ]
          },
          "metadata": {},
          "execution_count": 24
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Quantum repetition code"
      ],
      "metadata": {
        "id": "eXsrNk82fSYb"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "!pip install git+https://github.com/NCCR-SPIN/topological_codes.git"
      ],
      "metadata": {
        "id": "qIdxKiHpfUsJ"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "!pip install retworkx"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ezGEB63ifsci",
        "outputId": "a779b3b2-5224-40d6-dd4d-1ce9bcc57c51"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Collecting retworkx\n",
            "  Downloading retworkx-0.13.0-py3-none-any.whl (10 kB)\n",
            "Requirement already satisfied: numpy>=1.16.0 in /usr/local/lib/python3.10/dist-packages (from retworkx) (1.22.4)\n",
            "Requirement already satisfied: rustworkx==0.13.0 in /usr/local/lib/python3.10/dist-packages (from retworkx) (0.13.0)\n",
            "Installing collected packages: retworkx\n",
            "Successfully installed retworkx-0.13.0\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from topological_codes import RepetitionCode, GraphDecoder, lookuptable_decoding"
      ],
      "metadata": {
        "id": "d0iHDWEnfe8y"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "n = 3\n",
        "T = 1\n",
        "\n",
        "code = RepetitionCode(n, T)"
      ],
      "metadata": {
        "id": "H8uoc7_GfqQR"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "code.circuit['0'].draw(output=\"mpl\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 495
        },
        "id": "UnbyfVsmf6yK",
        "outputId": "72a3ea48-f851-41db-fa78-b498ab888771"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 1104.15x618.722 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 31
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "code.circuit['1'].draw(output=\"mpl\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 462
        },
        "id": "OU9p9X8df_UR",
        "outputId": "50d06345-9773-4911-fdee-a2d77731e4e0"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 1187.76x618.722 with 1 Axes>"
            ],
            "image/png": 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TJ3WT5LIUCoXOZrelpaWIiYmBTCbTeT9KS0tx8+ZNAICbmxsA3fcXMG4wrU4zXV3Nff/9738jNTUVx44dU5fb1dUVffr0QWhoKMaOHat3edLT0zVqjamGtHxeReIclVWRyaq3nTZp6ekoys82bGeqMYXcTee66r7/gOGfgZLSUv57JslZWlpixowZAFR/W+fNm2fwsXSFUrFF0TvvvKP+zjBz5sxKg2laWprB5SAiwzGY1mOxsbEoKiqCl5eXRrOUK1euoKioCJ6enhr9PmNjY1FSUgI3Nzc4OjpqPaa2ZrHieby9vRESEoJx48bhlVdega+vb4VgZiixT2ubNm20ri8pKVFPhF02mFbVv/TUqVPIy8uDvb19hWNfvXoVjx49QvPmzSsMiiSKjIxETk4O/Pz84OzsDED3/S1bHmMEU7HWOjk5GSUlJVoHQEpMTNTYVrRv3z7069dPHUoBoHfv3mjXrh1+/fVXg4KpeP1kHKXFjyCz0t464GEVY3PYWasCiUIBPCzQvV1lx2nu1BTKUu3np9rXpInue1/V+w/U/DMgKIvV3RSIapNCodAZ9MaNG4fmzZsDUE25ZmirnKpCKaD6+3zy5En07t0bnTt3Rq9evXSOaO/i4sIaUyID1eT7IoNpPaarJrCqZry6QlxeXh6uXbsGCwsLdOzYscJ+nTt3xpgxY7B06VLMnz8fTz/9NE6fPo0WLVrU+Fry8vIAaO8rCQC7du1CZmYmbG1t0bZtW/VysR+Kn5+f1v127NihLnt54nVV1lR2w4YNAIDnn39evUzX/RWn4rG3t4e7u7vOY1ZXQEAALC0tUVhYiLNnz6JXr14VthHnZe3Zs6fG8tjYWEycOLHC9n5+fgb33TG0WQZp9+UB1bQdutZVZtE4VS3ZwwJg0c/6n9upMXAr+Yb+O5LRFJUA7/+fqll1eVW9/0DNPwMjB3bFfz9I0X9HIj3l5eXp7KJTtrVS+dkAqqs6obTsOcTpaAYOHKgzmF67dq3GAzoSkf74OKgeq2qAI32D6cWLF6FQKODj46Mx4E7587z//vt48cUXcfPmTYwdO7bCcOyGEJ+uiAMVlZWWlqZu3lO+ye6DBw8AQGsz3oiICHWwrKx/6YMHD7ROt3Ls2DFs374djo6OeOutt9TLdd1fXf1zDWVra4thw4YBADZt2qS1fPHx8bC0tERQUJDGuvv372sdFdjBwUHdHJuk5erweJ6bVCzNgRZ2VW9XW1rzM0AmQJyjW6FQGDQftz6hFFB9LxCJAyoSkelgMK3Hqqox1RVYdQVTsRlv+fXazrNp0yb07t0bkZGRePnllw0qf1lDhw4FAISEhGiExDNnzmDQoEHIzMysUAYA6prJTZs2qUecVSgU2LNnD4KCgtQBu7JgamFhgZkzZyI7+5/+dqGhoepRerdu3arR1FfX/RWfrqakpKhrgGvqo48+giAI+O6777Bt2zb18sTERPV9f+2119RNoaj+cNPemr7Bn5v+IeX70JqfAZKYubk5/P39Aage7Obm6jcYm76htPx5unbtamDJiai2MJjWY2Wb2Gpbrm+Nqa5pV7Sdx8rKCj///DPc3NywY8cOfPbZZ4ZdxN+Cg4Ph6OiIW7duwc/PD/7+/vD09ERgYCDatWuHwYMHVygDAEydOhXm5uY4d+4cXF1d4ePjAycnJ0ycOBHvvPMOXF1dtV5T2ev69ttvceTIEbi6uiIwMBCtW7dGUFAQHjx4gLVr12L06NFa9yt/TD8/P7i5ueH27dtwc3ND79690a9fP3WtrSF69eqF5cuXQ6lUYurUqXB3d0dAQAC8vb2RkJCAnj17Yvny5RX2a9q0qbo2uax79+7BwYFVJaagkytgYVb35xUEIEB7V26qY93cpTmvky0fTpD0bG1t1VOeJSUl6bWvIaEUUD24Fse0aNasmf6FJqJaxWBaT6WkpCArKwtOTk4aA1hUtvzevXtwdHRE69attR5TWzAte7yWLVtqbN+iRQuEhoaicePG+OSTT/Djjz8afD2urq44fvw4Ro0aBWtrayQlJcHBwQEbN27E/v371bWo5YNpp06dsH//fgQGBsLMzAz37t3DkCFDEB4ejrlz5yIhIQHm5uYV+qCmp6cjIyMDDg4OmDFjBkJDQ+Hj44OYmBgUFBRg/PjxiIyMxKxZszT203V/AdX0Lr///juCgoJgYWGBU6dO4cSJEzr71lRXcHAwDhw4gGHDhiE7OxtxcXHw8vLCkiVLcPToUa3zsfn4+GjtSxobGwsfH58alYeMQ24lTUD0awU0Zdcpk+DpDDTTPu5arerrCch0DwpNVCfy8/MxadIkvPTSS1i9erVe+65YsULvUCr6+OOPMWXKFEybNk3fIhNRLROUSm1DLxCZjtzcXNjZ2UEQBOTk5HBi7GpYuXIlFixYgOvXr6trjU+dOoVevXphz5496mbKJK1b94BVv+u/nzjwzYN8/Qe+mTkE8OIAyybj2FVgjwHjihn6GbAyBz4eC9hY6X9OIkNUNviRoRwdHXHo0CHcvXtXr1BaXbm5uRz8iEgCrDElk3f58mUolUp4enoylFbTq6++ChcXFwQFBWHfvn3YvXs3nnvuOQQGBlYYKImk09oBeMI4Y2VVSzd3hlJT09ezbgciGhPAUEr1X1ZWFgYPHlwroZSIpMNgSibv0qVLALQPYETa2dnZ4fDhw3BxccG//vUvzJgxA3369MG+ffs4N5uJGR0AOOpZmfDwkaqmrDrzXYpsrYHx3fU7D9U+MxnwfG/Vf/VhyGfAyxno46nfeYhM1b179xhKiRoYzmNKRhcVFaUxvUpVpk+fjunTp+tc3xCCqbHvSXW0b98e+/btq9ExqPZZmQNT+gLrDqnmtqyO6sxzWZaZDHihD2vKTJWLveqhwY+nq7+Pvp8BeznwXC/V4FdERESmiMGUjC47OxsnTpyo9vbiVDG6NIRgaux7Qg1LGydgxgBg819AUalxj20mA17qB3RwMe5xybj6egKFxUBolPGP3aQR8MYQDnpFRESmjYMfERGZiBt3ga3HgWwjtU5rbAW82JehtD45maAaDKnYSA8oWtoDLw/Qv7k4kbHUxuBHtY2DHxFJg8GUiMiE5BcBv5wHTiXW7Dhd3IAJPYDG1sYpF9Wduw+BHZGqBxWGkgnAsI7AMD/AXIL5colEDKZEVF0MpkREJuhaBnA0DricCujzW9rbBejfAfBtVfW2ZLoUCuBsEhAeD9zMqv5+Fmaq+XEHegMtm9Za8YiqjcGUiKqLwZSIyITdzwPO3gCSs4CUe6qRWMuyswZcHQA3R6BbW6CZrTTlpNpzMwuIvql6/2/dAx4Vaa5vZqv6DLRtppoSiINckSlhMCWi6mIwJSKqRx4VAUt/BXIKVKH002ekLhHVJaUSyCsEQvYBOYX8DJDpYzAlourihIZERPVII0tV/0GAU388jgRB1W9YnI6YnwEiImooGEyJiIiIiIhIUgymREREREREJCkGUyIiIiIiIpIUgykRERERERFJylzqAhARERFRwySXy5Gbm2u0432xcSce5uXDzkaOea/9q8JrY5DL5UY5DhHph8GUiIiIiGqFIAhGnXrF0soalsWlsLSyho2NTYXXRFR/sSkvERERERERSYrBlIiIiIiIiCTFYEpERERERESSYjAlIiIiIiIiSTGYEhERERERkaQYTImIiIiIiEhSDKZEREREREQkKQZTIiIiIiIikhSDKREREREREUmKwZSIiIiIiIgkxWBKREREREREkmIwJSIiIiIiIkkxmBIREREREZGkGEyJiIiIiIhIUgymREREREREJCkGUyIiIiIiIpIUgykRERERERFJisGUiIiIiIiIJGUudQGIiIiIiBoipVKJ/Px8qYuhF7lcDkEQpC4GPYYYTImIiIiIakF+fj4aN24sdTH0kpubCxsbG6mLQY8hNuUlIiIiIiIiSTGYEhERERERkaQYTImIiIiIiEhSDKZEREREREQkKQ5+REREJi+/CEi5p/rJLQBKFIC5GWAvB1o7AK2aApb8i9ZgKZVA9iPV+596HygoBhRKwMIMaGar+gy0aAKY8XE7EVG9xT/jRERkkopKgPNJwIlrwK17lW8rCIBnC6CvJ9DRlQGloch+BEQmAJGJwP28yre1MAM6twb6egHuTqrPBBER1R8MpkREZFJKFcCRK8ChWOBRUfX2USqB+HTVT5NGwOguQPe2DCf1VX4h8EsUcOa6qma0OopLgbNJqp/WDsAzPVQBlYiI6gcGUyIiMhlpD4AfIoGbWYYfI/sRsP0kcOEWMDFQFVSp/ricAuw6DTx8ZPgxbt0D1oQBg3yAkZ1UtalERGTaGEyJiMgkxKYC3x1X1XwZQ0wKkJwJvDEYaNnUOMek2qNUAn/EAAcuGu94h2OBxAzg1UGAjZVxjktERLWDvXAaAKVSCTs7OwiCgMzMTI3lTZo0gSAIuHv3bq2dpyFo1qwZBEFASkpKtfcx9v0lepxdTgU2HzVeKBXlFADfHARu3zfuccn4fr9ovFBaVnIW8O0h1QBaRERkuhhMG4DExETk5OSgVatWcHL6p0NNcnIyHj58CGdnZzRr1qzWzlPfpaSkIDMzEw4ODnB1da32fpXd35UrV2LRokXIzs42ShnDwsIwYsQIODo6Qi6Xw9/fH8uWLUNREb9pUf13+z6w9Xj1+xLqK78I2HBENZovmabIRCAspvaOn1rLnzGiumJpaYkuXbpgyJAhGD58OAYOHAh3d3e9jvHqq6/iX//6V+0UkKgG2JS3Abhw4QIAoEuXLhrLb968iQ4dOqBXr15GPU/nzp2NcjxTER0dDQDo1KmTXvvpur/Z2dkIDg6GtbU1Fi5cWOPyrVq1Cu+99x4AoE2bNnBzc0NMTAwWLFiAffv24eDBg2jUiJ3oqH4qVQA7TupXUzpnBGDXSNUH8csD1dvn4SPgp7PAS/0MKyfVnvt5wM9n9dvHkM9AfDoQcQ3o56V/GYmk1KFDB7z66qsYMGAA/P39YWlpWWGbrKwsnDt3Dr/88gv++9//IicnR+uxXnvtNWzYsAGlpapfujt37qzVshPpgzWmDYAYrMoHxv79+yMuLg5bt2416nnKB+D6ztBgquv+nj9/HkqlEv7+/jAzq9mIG6dPn8a8efMgCAK2bt2KpKQkREVFIS4uDh4eHoiIiMAHH3xQo3MQSengZSBFz2a2do1U85fa6fk8JioZuHBTv32odimVwM5TQGGJfvsZ+hkIjQIytX9fJzI5AwcOxMGDBxEXF4c5c+agW7duWkMpADg6OuLJJ5/EunXrkJqainXr1qFFixYa24ihFADMzMzg7+9f69dApA8G0wZAV41pbZ2nodWYGvu6zp8/DwAICAio8bE+++wzKJVKTJs2DS+99JJ6efv27bFlyxYAwPr163Hnzp0an4uorhUUq6aEqUu/XVCFITIN1+8AV9Pq7nxFJXX/mSPSV+PGjfHtt9/iyJEjGDJkiHq5QqFAbGws/vvf/+Lzzz/HokWLsGLFCuzfvx8ZGRnq7WxtbTFz5kxcvnwZzz33HADNUAoAy5cvx4cfflh3F0VUDQymDYCuGlN3d3cIgoC4uDiN5c7OzhAEAUlJSYiOjsaLL76IVq1awcbGBl26dNHZrEPXeQDgyy+/hIWFBRwcHHDgQDXbVemQmZmJ4OBgeHh4wNraGq1bt8bs2bORl5eHl19+GYIg4JtvvlFvn5SUBEEQ4OLiovOY3bp1gyAICA8P13ldnTp1wsmTJzFu3Dg0a9YMcrkcffr0QVhYmNZjlr+/P/30EwRBUDe73bhxIwRBUP8sXbpUr/uQk5OjPvcrr7xSYX3//v3h5eWFoqIihIaG6nVsIlNw5roqKNSljIdAAp/jmIzwa3V/znM3qj8/LlFd8/HxwcWLF/HGG2+ol8XHx+Pdd9+Fk5MT/Pz8MGXKFCxcuBCLFy/G+++/j9GjR8PZ2RmdO3fG+vXrkZubC0BVi7pjxw6cOnWqQihlaysyRQym9dz9+/dx69Yt2NjYwMPDQ738wYMHSE5Ohlwuh5fXPx1qMjIykJGRATs7O+zduxfdu3dHWFgYWrZsCWtra1y4cAHPPfdchTAmnkcul8PT01O9PC8vD5MmTcLcuXPh7e2NM2fOYMSIEQZfT3R0NPz9/fHFF18gPT0dvr6+KC4uxtdff41JkybhypUrADRrh6OiogDorqEsLi5GTEwMBEGoEKpzc3ORmJgIMzMzHDp0CP369UNERIR6EKSTJ09i5MiRFYKftvubl5eHvn37wtraWl2evn37qn/69Omj172IiopCUVERrKys0L17d63b9Oun6jAXGRmp17GJTMEJCUIJAJyIl+a8pCnnkTRNq4tKgTM36v68RFXx9/fHsWPH0LZtWwCq7ygzZ86Et7c3Vq9ejfv3K+/3cPHiRcycORPu7u744Ycf1MsDAwPV/89QSqaMwbSeE2v7/P39IZPJqlwuNlstKCjA4sWLsX37dqSnp+PMmTNITU3F6NGjAUDdTLSy48XHx6Nnz574v//7P0yYMAGRkZFo3769wdeSmZmJp59+Gunp6Zg7dy7S0tJw/vx5pKenIyQkBPv378eZM2cgCIJGf1AxmOpqynz58mUUFRWhbdu2sLW11Vh34cIFKP9u1/f5559jy5YtuH37NqKiopCWloYhQ4ZAoVDg3XffVW+n635MmTIFx44dU78+fPgwwsPD1T8DBw7U637Ex6u+Pbdp0wbm5trHKRPvt7gtUX2R/QhIN86g1XqLT2dzXlOQcEe6UXLj06U5L5EurVu3RlhYmHrWg3PnzsHf3x/r16/X+P5RHVlZWXj++efx73//W2N5bGwsQymZNAbTek5X/9KqlhcXF2PHjh2YNGkSBEEAAFhbW6ubjiQnJ1d6vL1796JHjx64cuUKli5dih9//BE2NjY1upa3334bKSkpePPNN7Fy5UqNEBkcHIzOnTujpKQE7u7usLOzU68TQ6KuGlOxz6e24CpeV2lpKb7//ntMnTpVPWBRkyZNsHnzZshkMly/fl0j/Om6v/Hx8cjPz0ebNm1gb2+v1/WXJz4Zbdq0qc5txHVVPUUlMjUpWdKdO78IuJcn3flJ5dY9Cc8t4eePSJstW7bA2dkZgKoV1KBBg5CUlGTw8V577TW8+uqrGst8fX0xZcqUmhSTqFYxmNZzuvp96louBqoJEyZg5MiRFY4nzotZPlSJx+vYsSMWLFiA8ePHw8zMDL/99ptRnr5duXIFu3btgpOTE5YtW6Z1m27dugGoeE1V1ZiKwVRb31jxukaOHIlx48ZVWO/u7o5WrVoBAFJTUyvsp+u+G2MgqoIC1aSLukbgAwArKysAwKNHjzSWiwE/MDAQVlZW6ocPRKbilsTPUhhMpJciYTDNfqSaaobIFLz66qsYNmwYAODWrVsYNWqUzuleqqP8QEd79uxR//+aNWvQsmVLwwtLVIs4j2k9pysI6VouBtNJkyZpPd7Vq1cBQKNfatnjffHFF7h58yb8/f3x888/16jpblk//PADFAoFJk+ejMaNG2vdRpyrs2wYzMrKQkpKCmxtbTX62JYlBtfKgmnZQQbKE2tny5ZL3/tuCLGvqviwQJvCwkIAqDCPaUJCAn766Sf06NEDlpaWOHHiRI3L0717d6Sns/2bKXhqwRnIm7ggLT0Nrq49pC6OQQLGLkH73i9pXSfOUamLnfU//11U8XmSBl3zXM5+7yMkntxavcKaoIbwGRj27kE0cfbWuq4uPgO9+w9DdtqVapaWTMW4ae/AprHd35991wqvTY1Coah0vY2NDUJCQtSvZ8yYgXv3DH9qo2303Q8++ADff/89XnzxRdjb2+Pzzz/H9OnTdR7D09NToxsYkT6cnZ1x9qyek1P/jcG0HisuLsaVK1cgk8k0+lwWFxcjNja2wvLCwkL1CLK6+jtqC1ZlzyP+slywYIHRQimg6o8JAIMGDdK5TUpKCgDNgCmGzk6dOmmtFVQoFDqb3ZaWliImJgYymUzn/SgtLcXNm6rROdzc3ADovr+AcYNpdZrp6mru279/f6SlqeZgWLRokVGCaXp6ukatMUlHnBi9tLS03r4n3oXFOteJc1RWRSar3nba5OTl19t7BzSMz4BCqfuLb118BrLuPUBGPb13jzPF3599xd+f/fKv65vJkyerW6n973//0zkTQHXoCqUAMHv2bIwePRpNmzbFc889h/fee09nABa/PxDVNQbTeiw2NhZFRUXw8vKCXP7PX+YrV66gqKgInp6eGv0+Y2NjUVJSAjc3Nzg6Omo9prZmseJ5vL29ERISgnHjxuGVV16Br69vhWBmKLFPa5s2bbSuLykpUYerssG0qv6lp06dQl5eHuzt7Ssc++rVq3j06BGaN29eYVAkUWRkJHJycuDn56fu+6Hr/pYtjzGCqVhrnZycjJKSEq0DICUmJmpsK6qNJ53i9ZP0xH7QZmZm6qbm9U0jKwud66pqYmlnrQokCgXwsKDybXUdy9amUb29d0DD+AzIoLsmqS4+A45N7WFeT+/d40z292df9vdnv/xrU6NQKCoNejNnzlT//5dffmnweSoLpYDqQfZ3332HOXPmwNraGtOmTcOqVau0HsvFxYU1pmSwmnxfZDCtx3TVBFbVjFdXiMvLy8O1a9dgYWGBjh07Vtivc+fOGDNmDJYuXYr58+fj6aefxunTp9GiRYsaX0tenmokkvJ9JUW7du1CZmYmbG1t1cOoA6rQDAB+fn5a99uxY4e67OWJ11VZU1nxl/zzzz+vXqbr/opT8djb28Pd3V3nMasrICAAlpaWKCwsxNmzZ9GrV68K24jzsvbs2bPG56uKoc0yyPg+2aPqI+fi7KJuSVDfhMUAv13Qvk5bs8uyFo1T1ZI9LAAW/WzY+dd+uQSdWi8xbGcT0BA+A+sPA1d1fF+vi8/AqfA/0djasH1JOkvXbcfD3Dz1Z7/8a1OTl5ens4tSu3bt1N9PIiMj1ZUD+qoqlIo2bNiAOXPmAACeeeYZncH02rVrNR7QksgQfBxSj1U1wJG+wfTixYtQKBTw8fHRGHCn/Hnef/99vPjii7h58ybGjh2rHqSnJsSnK+JARWWlpaVh3rx5ACo22X3w4AEAaG3GGxERof5FXVn/0gcPHmidbuXYsWPYvn07HB0d8dZbb6mX67q/uvrnGsrW1lY9GMKmTZu0li8+Ph6WlpYICgoyyjmJ6oqr7sGm60RrB2nPT9K+B03lYCglyZWdo/z333836BjVDaWAKnAmJCQAUH0vElteEJkKBtN6rKoaU12BVVcwFZ/UlV+v7TybNm1C7969ERkZiZdfftmg8pc1dOhQAEBISIhGSDxz5gwGDRqEzMzMCmUAoK6Z3LRpE7KyVMNsKhQK7NmzB0FBQeqAXVkwtbCwwMyZM5Gd/c+kiqGhoepRerdu3arR1FfX/RWfLqakpKhrgGvqo48+giAI+O6777Bt2zb18sTERPV9f+2119C8eXOjnI+orrTW3pugTthYGd4vkYxHymAq5eePSCTONgCo5i3Vlz6htPx55HI5fHx89D4nUW1iMK3Hyjax1bZc3xpTXdOuaDuPlZUVfv75Z7i5uWHHjh347LPPDLuIvwUHB8PR0RG3bt2Cn58f/P394enpicDAQLRr1w6DBw+uUAYAmDp1KszNzXHu3Dm4urrCx8cHTk5OmDhxIt555x31CH2VzWH67bff4siRI3B1dUVgYCBat26NoKAgPHjwAGvXrsXo0aO17lf+mH5+fnBzc8Pt27fh5uaG3r17o1+/fhp/NPTVq1cvLF++HEqlElOnToW7uzsCAgLg7e2NhIQE9OzZE8uXLzf4+ERSsbWWrtbUxwXgDErS82gBmEv0LcTbRZrzEpVVdhDJS5cu6bWvIaG0/Hl0zWZAJBUG03oqJSUFWVlZcHJy0ujsX9nye/fuwdHREa1bt9Z6TG3BtOzxys971aJFC4SGhqJx48b45JNP8OOPPxp8Pa6urjh+/DhGjRoFa2trJCUlwcHBARs3bsT+/fvVtajlg2mnTp2wf/9+BAYGwszMDPfu3cOQIUMQHh6OuXPnIiEhAebm5hX6oKanpyMjIwMODg6YMWMGQkND4ePjg5iYGBQUFGD8+PGIjIzErFmzNPbTdX8B1fQuv//+O4KCgmBhYYFTp07hxIkTOvuWVFdwcDAOHDiAYcOGITs7G3FxcfDy8sKSJUtw9OhRjYGviOqTvsZp9V5vzkuabKyAAO3j3dUqawugm3vdn5eovJiYGBw6dAgREREarbaq8uyzzxoUSgHVdHLHjx9HWFhYjaalIaoNHPyonnJ1dYVSqazx8rK0DW5T1X6dO3eu0STQZfn4+GDfvn0Vlufm5iIpKQkymUxjUCbRk08+iSeffFLrMcUpFcpzdnbWuK5Ro0Zh1KhRVZaxqvvh6+uLvXv3VnkcfQ0fPhzDhw83+nGJpNTVHfjlPFCge+YYo2vVFHB3qrvzUeX6egFnbtTtOXu0AyoZFJqozixatMig/Q4dOoQLFy6gc+fOeoVSQDWY5K5duww6L1FtYzAlk3f58mUolcoK0+JQ5Xbv3g3gn5GLxdfu7u4aAy4QScXKHBjurwqndWVUZzbjNSVtHAF/V+BSHQ2mam0BDPGtm3MR1ZasrCwMGTIEzz//PNauXSt1cYiMhsGUTJ7YH0LbAEak28SJE7W+fumll7B161YJSkRU0YAOwMWbwI3M2j9Xz/aAr+lNc/hYEwRgYiCQeAfI1z1zl9GM68aBr6hhyMrKYiilBofBlIwuKipKY3qVqkyfPh3Tp0/Xub4hBFNj35PqqKrpNpEpkMmA53oDq34HCkuqt8/DR5r/rQ4HG2BsV/3LR7XPrpEqnG4Lr/4+hnwGOroCge30KxsREdUdBlMyuuzsbJw4caLa24tTxejSEIKpse8JUUPS3A54ZSCw8QhQrL1buIYvD+h3fDtr4I0hQCPLqrclaQS0AR7kV79Zt76fgbbNgBf7shk3EZEpYzAloxs4cKBRa+sOHz5stGNJxdj3hKih8WgBvD4I2HTUuIMhNbUBZg4GmtlWvS1Ja5APIBOAvecAY/629HIGXu6v6tNMRESmi9PFEBGRSWjfApj3FODZwjjH69EWmDcSaGZnnONR7RvgDbw5FHCq2SxbAAAzGTC6C/DaII7CS0RUH/D5IRERmQzHxsDMIUBEAhB2CcjWow+hqLkdEBQA+Lkav3xU+9q3AOaNAg5cBE5cA4qq2fe4LC9n1UBHLvZGLx4REdUSBlMiIjIpggD09QR6tQdiUlThJPEOUKrQvY+VOeDtAvTzUjULZl/C+s3KHAjqCjzZETh7AziZCKTdr7yJb2NrVV/Vvp6Ac5M6KyoRERkJgykREZkkMxnQ2U31U1IKpGcDt+6p+iAWlqjCy8RAoLWDqg+pjJ1TGpxGlsATHVQ/BcVA6n3Vz/5o1WfA2hyY3Ado7Qg0acQHEkRE9Rn/jBMRkckzNwNcHYDeHoD13/0FrS2A7m2BFk0YSh8H1hZA++ZA/w7/fAasLAD/1qq5SRlKiYjqN/4pJyIiIiIiIkkxmBIREREREZGkGEyJiIiIiIhIUgymREREREREJCmOyktEREREVAvkcjlyc3ONdrwvNu7Ew7x82NnIMe+1f1V4bQxyudwoxyHSF4MpEREREVEtEAQBNjY2RjuepZU1LItLYWllDRsbmwqvieozNuUlIiIiIiIiSTGYEhERERERkaQYTImIiIiIiEhSDKZEREREREQkKQZTIiIiIiIikhSDKREREREREUmKwZSIiIiIiIgkxWBKREREREREkmIwJSIiIiIiIkkxmBIREREREZGkGEyJiIiIiIhIUgymREREREREJCkGUyIiIiIiIpIUgykRERERERFJisGUiIiIiIiIJMVgSkRERERERJJiMCUiIiIiIiJJMZgSERERERGRpMylLgARNVxKpRL5ilKpi6EXucwMgiBIXQwiaiCUSiXy8/OlLka1yeVy/g4kIkkwmBJRrclXlKLp4T+lLoZe7g8eBhsz/mokIuPIz89H48aNpS5GteXm5sLGxkbqYhDRY4hNeYmIiIiIiEhSDKZEREREREQkKQZTIiIiIiIikhSDKREREREREUmKwZSIiIiIiIgkxWBKREREREREkmIwJSIiIiIiIkkxmBIREREREZGkGEyJiIiIiIhIUgymREREREREJCkGU6pg4sSJEAQBW7dulboodaJZs2YQBAEpKSnV3kepVKJJkyYQBAF3796txdIREREZT6NGjdC1a1epi0FEVAGDKVVw4cIFAECXLl2kLUgdSElJQWZmJhwcHODq6lrt/ZKTk/Hw4UM4OzujWbNmFdavXLkSixYtQnZ2tlHKGRYWhhEjRsDR0RFyuRz+/v5YtmwZioqKjHJ8IiIyXS4uLnjxxRexZs0ahIeHIykpCWlpaUhOTsapU6ewfv16zJgxA+3atav0OI0aNcK+fftw9OhRPPHEE3VUeiKi6jGXugBkWvLy8pCYmAgLCwv4+vpKXZxaFx0dDQDo1KmTXvvdvHkTHTp0QK9evSqsy87ORnBwMKytrbFw4cIal3HVqlV47733AABt2rSBm5sbYmJisGDBAuzbtw8HDx5Eo0aNanweIiIyLYMGDcLMmTMxduxYmJtr/8rm5uaGwMBA9esDBw5g/fr12LdvHxQKhXq5GEoHDx4MANixYwc8PDxQWFhYuxdBRFRNrDElDTExMVAoFPD19YWlpaXUxal1hgbT/v37Iy4uTmtz5/Pnz0OpVMLf3x9mZmY1Kt/p06cxb948ddPqpKQkREVFIS4uDh4eHoiIiMAHH3xQo3PUB6X/2YriJ5+C4kBYhXVKpRIl772P4lFjoLyRVPeFq0MlpcDFW0Bhiep1UYnqh4gaFldXV/z+++84fPgwJkyYUCGU3rlzB8nJyUhPT9cInwAwYsQI/PLLL4iIiICPjw+AiqE0Ozsb48ePZyglIpPCYEoaHqdmvMA/19u5c2ejHfP8+fMAgICAgBof67PPPoNSqcS0adPw0ksvqZe3b98eW7ZsAQCsX78ed+7cqfG5TJnsxcmAexuUbtwE5d1MjXWKPXuhvHgJshdfgNDWXZoC1rL8ImBfNLDoZ+A/x4CCYtXyR8XAJz8DP58DcgokLSIRGcmLL76ImJgYjBgxQr0sLS0NS5YswdChQ+Hg4IAWLVrA3d0dLi4uaNKkCfr3748FCxbg+vXr6n169uyJqKgofPDBBxVC6bBhw3DmzJk6vzYiosowmJoQhUKB3bt3Y+zYsWjZsiWsrKzQsmVLDB48GGvWrKnQnzA3NxcrVqxAjx490LRpU/WABhs2bIBSqdR5nqysLLz//vvw9PSEtbU1PDw88MUXX0CpVOLixYsAtAe1oqIibNq0CUOHDoWjoyOsrKzg4eGB+fPnIzc31yj3IDMzE8HBwfDw8IC1tTVat26N2bNnIy8vDy+//DIEQcA333yjsU9SUhIEQYCLi4vO43br1g2CICA8PFxjedka05MnT2LcuHFo1qwZ5HI5+vTpg7CwijV0AODu7g5BEBAXF6de9tNPP0EQBHWz240bN0IQBPXP0qVL9boXOTk56vO/8sorFdb3798fXl5eKCoqQmhoqF7Hrm8ECwuYz5sLFBSg9MvV6uXKWylQbP0egncHyCY+I10Ba9GDfODrMODgZSBXS+XGoyLgaByw+g/gbk7dl4+IjGf+/Pn4/vvv0aRJEwBAamoqnn/+ebRp0wYfffQRDh06hPv372vsk5ubi+PHj2PZsmXw9PTE6NGjcfXqVQCAlZUVli5dylBKRPUCg6mJuHPnDgYPHoyJEyfil19+gYWFBbp06QILCwscOXIEH3zwgUaz0AsXLqBz5854//33cfnyZbRp0wbOzs6Ijo7GG2+8gWnTpmk9T3R0NPz9/bFixQrcvn0bvr6+yM3NRXBwMN5++22dNaYJCQno2rUrXn31VRw9ehROTk5o164dkpOTERISggEDBiA/P79G90As2xdffIH09HT4+vqiuLgYX3/9NSZNmoQrV65oLVtUVBQA3TWUxcXFiImJgSAIGoE7NzcXiYmJMDMzw6FDh9CvXz9ERESoB0E6efIkRo4cWSH0PXjwAMnJyZDL5fDy8lIvz8vLQ9++fWFtba0uT9++fdU/ffr00et+REVFoaioCFZWVujevbvWbfr16wcAiIyM1OvY9ZHg6QHZv56F8tx5KPb/DmVpKUpXrASUSpjNmwuhhs2mTVFhCfDvI0B6NcbQysoFNh4G8tgyj6hemjNnDpYtW6Z+vW3bNnTs2BE//PADiouLq3UMhUKB/fv3o0uXLli9erXGQ+rCwkKGUiIyaQymJiAvLw9PPfUUjh49igEDBuDChQvqkfaSk5MRExOD+fPnq4PpjRs3MHz4cFy/fh2zZ89GWloaoqOjcePGDRw+fBhyuRzbtm3D3r17Nc5z9+5djB49GmlpaZgzZw7S09Nx/vx5pKenY9myZVi3bp36D1bZ8Hfv3j2MHDkSly9fxowZM5CamoqrV6/iypUriI2NhY+PD86fP4+vvvrK4HuQmZmJp59+Gunp6Zg7dy7S0tLUZQsJCcH+/ftx5swZCIJQoT+oGEx1NT++fPkyioqK0LZtW9ja2qqXX7hwQf1H+/PPP8eWLVtw+/ZtREVFIS0tDUOGDIFCocC7776r8cddrGX19/eHTPbPP6EpU6bg2LFj6mWHDx9GeHi4+mfgwIF63ZP4+HgAqgGPdA160b59e41tGzrZ5OeAdu1QumkzFOs2QHk1HrKpUyC0rv6IyvXJmevA7QfV3z4zFzjxeHwUiBqUAQMGYNWqVerX77//PqZOnYoHDx4YdDzxb6UgCOplVlZW8PT0rGlRiYhqDYOpCZg7dy7OnTuHfv36ISwsrELw8vPzw8cff6x+PW3aNGRkZODdd9/F6tWr1U1+AGDgwIF4/fXXAQA7d+7UOM6bb76J1NRUvPXWW1i1apVGSJs/fz66dOmCwsJCuLm5oWnTpup1s2fPRkJCAmbPno1NmzahefPm6nWenp5Yu3YtAFQIwvp4++23kZKSgjfffBMrV67UKFtwcDA6d+6MkpISuLu7w87OTmNfMSjqqjEV+3yWD65i7XBpaSm+//57TJ06VR3+mzRpgs2bN0Mmk+H69esawa+yfrjx8fHIz89HmzZtYG9vX+3r10ZsrlX2vShPXFe+aVdDJZibw3zeHKCoGIp9+yF09INs/Fipi1UrlEog3ICQGZEAlCqq3o6ITIONjQ3+85//qF8vWrQIK1asMPh45Qc6Ktuaae3atXB2dja8sEREtYjBVGJxcXHYvHkzrKyssH379ipHwj127BiOHj0Ke3t7fPbZZ1q3ESfOvnHjhnpZTEwMfvzxRzRt2hRLlizRup843HzZ5q6XL1/Gjh074OzsrNHEqCwxoKWmplZadl2uXLmCXbt2wcnJSec5unXrVqFsoqpqTMVgWn5fMdCOHDkS48aNq7Cfu7s7WrVqBUDz2sT9tJVFXGeMwaMKClSj2VT2mbCysgIAPHr0qMK6GzduYMyYMbC1tUXTpk0xZcoUZGVl1bhckrOxASwsAABCj+4QZA3z11h6dvWa8Jb3IB+4cdf45SGi2rF48WL1/KPHjx/Hp59+avCxtI2+O3DgQOzYsQMA4ODggK+//rrmhSYiqgWcx1RiO3bsQGlpKaZMmQI3N7cqt9+1axcAVa2pjY2N1m3EICP2dQRUtadKpRLPPfecRm1kWRZ/f9kvG6p++OEHKBQKlJaWYtiwYVr3Ewdl0lWeqojnmDx5Mho3bqx1G3GezvJhMCsrCykpKbC1tYWHh4fWfcXgqiuYvvHGGzrLJtbOli1XZeHTmMFUfP/KD3pVljjUf/l5THNycjBo0CA4ODjghx9+wKNHjxAcHIzRo0fjxIkTGk2Qq6t79+5IT0/Xax+lpSWwcZ3e59J5PKUSpau+AkqKAbfWUOzYCdmA/hBa6h74Sl9enl4QKrnndaV5+77o/+oug/Z9YdrrSLm4z8glMh1PLTgDeRMXpKWnwdW1h9TFkcTjfg/q0/WXn86lLFtbW7z22msAVA8Yp02bVunghZXRFkrFPqVvvfUWhgwZghYtWuCZZ55B27ZtNR5el+Xp6WnQ34i6Mm7aO7BpbPf3e+9a4XVD97hfP5k+Z2dnnD171qB9GUwldvDgQQDAU089Va3tIyIiAABDhgzRuY1Yu9emTRv1siNHjgAAhg4dqnM/cZj5sqHq8OHDAFT9U+/erbwaxt3dvdL1uojnGDRokM5tUlJSAFQMl2LoLN+XRqRQKLQ2vS0tLUVMTAxkMpnOvp+lpaW4efMmAKgfGhQXFyM2NhYymUzr3KfGDKbVaaarq7nvv//9b6SmpuLYsWPqsru6uqJPnz4IDQ3F2LFj9S5Penq6/rXi1law0PtMuin2hkJ54SJk016CrHcvlMx6C6WrvoLZyhCt778hbqfdBgqkH0FI2TjN4H0z72YY3IKhPigtLVX/tyFfZ2Ue93vQUK7/xRdfVD/43Lp1KxITEw06TmWhFFCNFbF69WosW7YMMpkMr732GubPn6/1WGlphv/uqQuKv997xd/vffnXDd3jfv3UsDGYSuzWrVsAoG7GUxXxl07r1q11bnPixAkA0BgFVjxP27Ztte5TUFCgnkqlbKgSA2FSUpJG0DWm5ORkANB5/JKSEvU16ar11NW/9NSpU8jLy4O9vb3G8a9evYpHjx6hefPmOmuQIyMjkZOTAz8/P3WfnCtXrqCoqAienp5aa4iNGUzFEX+Tk5NRUlKidQAk8UtM2dGBAWDfvn3o16+fRi1879690a5dO/z6668GBVND+iUpLS1hrFalytRUKP6zFUIHL8ienQDBzAyyFyZD8d02KPaGwmxckFHO09KlpUnUmFrL8qFUKPRqqqxUKiEIAiwVD9XN0BsisS+4mZlZg77Oyjzu96A+Xb9CodAZ9qZPn67+//Xr1xt0/KpCqWjLli1YvHgxLC0tMW3aNJ3B1MXFxaRrTGV/v/eyv9/78q8busf9+sn01aQfO4OpxPLy8gBo7yOojdjER9yvvLS0NPz6668wNzfH+PHj1ctzcnIq3W/79u14+PAh7OzsNMKruL3Y37E2VHUPdu3ahczMTNja2lYI1rGxsQBUA0RpI/arKR9oxVrUyprJbtiwAQDw/PPPq5dVFjwzMjKQkZEBe3t7g2uPywoICIClpSUKCwtx9uxZ9OrVq8I24sOEnj17aiyPjY3FxIkTK2zv5+envmf6MqRZRl5pCZoe/tOg85WlVChQ+sWXgEIBs3lz1FPDyJ6dAOWJCCj+sxWynoFGadIbfy0eNmam8avx30eA2NvV314QBLg7AbHnDtVeoUzAJ3uA7EeAi7OL+uHZ4+Zxvwf16frz8vK0dlNp1KiR+m/JxYsXcenSJb2PXd1QCqhaPoWFhWH06NFo3rw52rdvr7WG9tq1awZ3zakLS9dtx8PcPPV7X/51Q/e4Xz81bKb7SOwxIdZ8ik10qyL2oxQH9ClLoVDg9ddfR2FhIaZPn64xeq6Li+oLu7b5LjMyMrBw4UIAFZvEijVuYpPj2iA+WdF2TWlpaZg3b57WsgFQD6WvrRlnRESEOlzqqml98OCB1qlWjh07hu3bt8PR0RFvvfWWenllI/KKE5qXr700lK2trbpf76ZNm7SWMT4+HpaWlggK0qwtvH//vtZRgR0cHHDv3j2jlK8uKXbvgTL2CmQvvQChTC2wYGYGs/fmAIpSlK76yuC+WaaqnwEfJUP2IaK617lzZ3XNryFzi+oTSkVl14mDChIRmQoGU4mJo8EuWbIEYWFhGutSU1OxdOlSXLt2Tb3s2WefBQCEhIRo1HylpaXh2WefRWhoKHx9fRESEqJxLLFvaUhIiLpfJqAKWkOHDlU3MyofuCZMmAAA+OCDD7B79+4K5U9ISMDixYvx119/6XPZOstWNiSeOXMGgwYNQmZmptayAf/0a920aZN6xFmFQoE9e/YgKChIPRCUrmBqYWGBmTNnIjv7n+FPQ0ND1e/L1q1bNZr6VjYir/iEOSUlRWfNtL4++ugjCIKA7777Dtu2bVMvT0xMxMsvvwwAeO211zQeQjQ0yps3odj2Xwg+3pA9M77CesG9DWQvTIbyUgwUe0MlKGHt8WkJ9Gpf/e07uwFd3WutOERkRGXHKdD2YLYyhoRSADh37pz6/7X9HSMikhKDqcTee+89dO3aFdnZ2Rg+fDhcXFwQGBgIDw8PtG7dGgsXLkTLli3V28+aNQt9+vTBrVu30KlTJ3h7e6NTp05wc3PDTz/9hO7du+OPP/6oUFsWHBwMR0dH3L17F927d4evry+8vb3RpUsX3L17F7179wZQMfzNmTMHTzzxBHJycjBx4kQ4OjqiW7duCAgIgJOTEzw9PbFo0aIa9T8Vy3br1i34+fnB398fnp6eCAwMRLt27dR/eLX9EZ06dSrMzc1x7tw5uLq6wsfHB05OTpg4cSLeeecd9Qh1uuYw/fbbb3HkyBG4uroiMDAQrVu3RlBQEB48eIC1a9di9OjRWvfTFpL9/Pzg5uaG27dvw83NDb1790a/fv3UtbaG6NWrF5YvXw6lUompU6fC3d0dAQEB8Pb2RkJCAnr27Inly5dX2K9p06ZaJ2a/d+8eHBwcDC6PFAQ3N1js/wXma75UN+Etz+y5SbAI+81o/UxNhSAAEwOBPp5Vb9u1DfBiH0BmnDGgiKiWlZ2DXJ8Rzw0NpYCqhZRI1/gKRERSYTCVWOPGjXH8+HF8/vnn6Ny5M7KzsxETEwOFQoGxY8di27ZtGn09LC0t8eeff2LhwoVo164dbty4gdu3b6N3795Yv349IiIitA4X7urqivDwcIwePRo2NjZISkqCUqnE7NmzER0dre6DWj5wNWrUCIcOHcKaNWvQq1cvlJSU4NKlS8jIyIC7uztmz56NP//8U+egStXh6uqK48ePY9SoUbC2tkZSUhIcHBywceNG7N+/X12Lqi2YdurUCfv370dgYCDMzMxw7949DBkyBOHh4Zg7dy4SEhJgbm6u0Qc1PT0dGRkZcHBwwIwZMxAaGgofHx/ExMSgoKAA48ePR2RkJGbNmqVxrpSUFGRlZcHJyUnrAAPW1tb4/fffERQUBAsLC5w6dQonTpzQOQVOdQUHB+PAgQMYNmwYsrOzERcXBy8vLyxZsgRHjx6FXC6vsI+Pj4/WvqSxsbHw8fGpUXmobpnJgIk9gHeGA93bql6LZALQxQ2YNRR4sS9grj23E5EJWrduHVq3bg1PT88KLaYq07x5c3WXEX1CKQBcunQJXl5ecHNzw4cffmhQuYmIaougbGidsqhByc3NhZ2dHQRBQE5OjtYQRhWtXLkSCxYswPXr19UPKk6dOoVevXphz5496qbKtc1Ygx/VpfuDh5nM4EfaFBYDOQWAEoCtNWBtzPl46glx4JsmjYDFFVt3PxYe93tQn65f1+BHNeHh4YG9e/di2rRpBvVPrUxubm69GPzIrrENFsyaXOF1Q/e4Xz81bKwxJZN2+fJlKJVKeHp6MpTq4dVXX4WLiwuCgoKwb98+7N69G8899xwCAwMrDJRE9YuVBeBkCzSzfTxDKRGpxnfo1KmT0UMpEZGUGEzJpInD53OQBv3Y2dnh8OHDcHFxwb/+9S/MmDEDffr0wb59+0x6fjoiIqoehUIhdRGIiIzKdNurUb0UFRWlMb1KVaZPn64xwXh5DSWYGvu+VEf79u2xb9++Gh2DiIiIiKguMJiSUWVnZ+PEiRPV3l6cKkaXhhJMjX1fiIiIiIgaEgZTMqqBAwfCmONpHT582GjHkpKx7wsRERERUUPCzmZEREREREQkKQZTIiIiIiIikhSDKREREREREUmKwZSIiIiIiIgkxWBKREREREREkmIwJSIiIiIiIkkxmBIREREREZGkGEyJiIiIiIhIUgymREREREREJClzqQtARA2XXGaG+4OHSV0MvchlZlIXgYgaELlcjtzcXKMc64uNO/EwLx92NnLMe+1fOpfVhFwur/ExiIgMwWBKRLVGEATYmPHXDBE9vgRBgI2NjVGOZWllDcviUlhaWauPqW0ZEVF9xKa8REREREREJCkGUyIiIiIiIpIUgykRERERERFJisGUiIiIiIiIJMVgSkRERERERJJiMCUiIiIiIiJJMZgSERERERGRpBhMiYiIiIiISFIMpkRERERERCQpBlMiIiIiIiKSFIMpERERERERSYrBlIiIiIiIiCTFYEpERERERESSYjAlIiIiIiIiSTGYEhERERERkaQYTImIiIiIiEhSDKZEREREREQkKXOpC0BEDZdSqUS+olTqYuhFLjODIAhSF4OIiKhBUCqVyM/Pl7oYepHL5fwuIAEGUyKqNfmKUjQ9/KfUxdDL/cHDYGPGX41ERETGkJ+fj8aNG0tdDL3k5ubCxsZG6mI8dtiUl4iIiIiIiCTFYEpERERERESSYjAlIiIiIiIiSTGYEhERERERkaQYTImIiIiIiEhSDKZEREREREQkKQZTIiIiIiIikhSDKREREREREUmKwZSIiIiIiIgkxWBKREREREREkmIwpQomTpwIQRCwdetWqYtSJ5o1awZBEJCSklLtfZRKJZo0aQJBEHD37t1aLB0RERERGZNMxghkisylLgCZngsXLgAAunTpIm1B6kBKSgoyMzPh4OAAV1fXau+XnJyMhw8fwtnZGc2aNauwfuXKlcjNzcW7776LJk2a1LicYWFh+PLLL3HmzBk8evQI7du3x/PPP4+5c+fC0tKyxscnIiIiMmUymQxeXl7o3r072rZtCysrK5SUlODevXuIiopCVFQUcnNzqzzOyJEjERISghEjRuD27dt1UHKqLgZT0pCXl4fExERYWFjA19dX6uLUuujoaABAp06d9Nrv5s2b6NChA3r16lVhXXZ2NoKDg2FtbY2FCxfWuIyrVq3Ce++9BwBo06YN3NzcEBMTgwULFmDfvn04ePAgGjVqVOPzEBEREZmaPn36YNasWRgzZgwaN26sczuFQoGoqChs3LgRO3bsQF5eXoVtRo4ciZ9//hlWVlY4cuQI+vXrx5ZvJoT12KQhJiYGCoUCvr6+j0VNnKHBtH///oiLi9Pa3Pn8+fNQKpXw9/eHmZlZjcp3+vRpzJs3T920OikpCVFRUYiLi4OHhwciIiLwwQcf1OgcRPWNUqn538eNQgEoHvN7QEQN34ABAxAVFYUTJ07g+eefrzSUAqoa1W7duuHf//43UlNT8cknn8DCwkK9vmwoBYCoqCjcu3evVq+B9MNgShoep2a8wD/X27lzZ6Md8/z58wCAgICAGh/rs88+g1KpxLRp0/DSSy+pl7dv3x5btmwBAKxfvx537typ8blMWel/tqL4yaegOBBWYZ1SqUTJe++jeNQYKG8k1X3hqE4UFgMR14AVvwEPC1TLHhYA3xwEom8CpQppy1fblEog8Q6wLRyYtwvI+fse5BQCf1wCHj6StnxERMZiY2ODtWvX4q+//tL4PpqVlYWffvoJCxYswJgxYzBkyBAMHz4cr7zyCjZs2KD+TgcATZo0waJFi3D27FkEBARUCKW7du3C5MmTUVpaWteXR5VgMDUhCoUCu3fvxtixY9GyZUtYWVmhZcuWGDx4MNasWYOioiKN7XNzc7FixQr06NEDTZs2RaNGjdC1a1ds2LABykoeo2dlZeH999+Hp6cnrK2t4eHhgS+++AJKpRIXL14EoD2oFRUVYdOmTRg6dCgcHR1hZWUFDw8PzJ8/v1pt+qsjMzMTwcHB8PDwgLW1NVq3bo3Zs2cjLy8PL7/8MgRBwDfffKOxT1JSEgRBgIuLi87jduvWDYIgIDw8XGN52RrTkydPYty4cWjWrBnkcjn69OmDsLCKQQgA3N3dIQgC4uLi1Mt++uknCIKgbna7ceNGCIKg/lm6dKle9yInJ0d9/ldeeaXC+v79+8PLywtFRUUIDQ3V69j1jezFyYB7G5Ru3ATl3UyNdYo9e6G8eAmyF1+A0NZdmgJSrUrKBD4LBf7vNHD7vua6hAxg63FgxX4gyzi/hkxOYTGw+Siw9k8gKlkzhCuVwO8XgcV7gdPXJSsiEZFRuLi4IDIyEm+++aZ62dmzZ/HCCy+gVatWmDBhApYtW4Zff/0Vhw8fRlhYGDZv3ow33ngDXbp0Qbdu3bBlyxYUFxcDUH2/O336NH755ReG0nqAwdRE3LlzB4MHD8bEiRPxyy+/wMLCAl26dIGFhQWOHDmCDz74QKNZ6IULF9C5c2e8//77uHz5Mtq0aQNnZ2dER0fjjTfewLRp07SeJzo6Gv7+/lixYgVu374NX19f5ObmIjg4GG+//bbOGtOEhAR07doVr776Ko4ePQonJye0a9cOycnJCAkJwYABA5Cfn1+jeyCW7YsvvkB6ejp8fX1RXFyMr7/+GpMmTcKVK1e0li0qKgqA7hrK4uJixMTEQBAEjcCdm5uLxMREmJmZ4dChQ+jXrx8iIiLUgyCdPHkSI0eOrBD6Hjx4gOTkZMjlcnh5eamX5+XloW/fvrC2tlaXp2/fvuqfPn366HU/oqKiUFRUBCsrK3Tv3l3rNv369QMAREZG6nXs+kawsID5vLlAQQFKv1ytXq68lQLF1u8heHeAbOIz0hWQas2tLODbQ0BuQeXbZTxUBbcHNfs1ZHJKSoFNR4HLqZVvV6oAdpxkOCWi+qtFixY4evQoOnbsCADIz8/H22+/jcDAQGzfvh2FhYVVHuP8+fOYMWMGunfvrv5+aG5urm7Sy1Bq2hhMTUBeXh6eeuopHD16FAMGDMCFCxeQnJyMU6dOITk5GTExMZg/f746mN64cQPDhw/H9evXMXv2bKSlpSE6Oho3btzA4cOHIZfLsW3bNuzdu1fjPHfv3sXo0aORlpaGOXPmID09HefPn0d6ejqWLVuGdevW4cyZMwA0w9+9e/cwcuRIXL58GTNmzEBqaiquXr2KK1euIDY2Fj4+Pjh//jy++uorg+9BZmYmnn76aaSnp2Pu3LlIS0tTly0kJAT79+/HmTNnIAhChf6g4i8eXc2PL1++jKKiIrRt2xa2trbq5RcuXFDXLH/++efYsmULbt++jaioKKSlpWHIkCFQKBR49913NWqgxVpWf39/jeHGp0yZgmPHjqmXHT58GOHh4eqfgQMH6nVP4uPjAagGPDI31z5OWfv27TW2bcgETw/I/vUslOfOQ7H/dyhLS1G6YiWgVMJs3lwINezPS6ZHoVA1XS0qqd72D/KB/ztVu2Wqa4diVbXC1bUzsuGFcyJq+CwtLfHbb7/B09MTAHD9+nV06dIFa9eurbQVoC4XL17Exx9/rBFAFQoF/v3vfzOUmjAGUxMwd+5cnDt3Dv369UNYWFiF4OXn54ePP/5Y/XratGnIyMjAu+++i9WrV2tMRzJw4EC8/vrrAICdO3dqHOfNN99Eamoq3nrrLaxatUojpM2fPx9dunRBYWEh3Nzc0LRpU/W62bNnIyEhAbNnz8amTZvQvHlz9TpPT0+sXbsWACoEYX28/fbbSElJwZtvvomVK1dqlC04OBidO3dGSUkJ3N3dYWdnp7GvGBR11ZiKfT7LB1exdri0tBTff/89pk6dqg7/TZo0webNmyGTyXD9+nWN4FdZP9z4+Hjk5+ejTZs2sLe3r/b1a3P/vqrNYtn3ojxxnbhtQyeb/BzQrh1KN22GYt0GKK/GQzZ1CoTW1Z/qh+qPuDQgU8/muVduA5k5tVOeulaqUPWr1YdCCZxMqJ3yEBHVloULF6Jr164AVF20BgwYgGvX9PwFWMbIkSOxe/dujdaGMpkMmzdvho2NTY3LS7WDwVRicXFx2Lx5M6ysrLB9+/YqR8I9duwYjh49Cnt7e3z22WdatxH/Yd+4cUO9LCYmBj/++COaNm2KJUuWaN0vMDAQgGb/0suXL2PHjh1wdnbGsmXLtO4nBrTU1Cramulw5coV7Nq1C05OTjrP0a1btwplE1VVYyoG0/L7ioF25MiRGDduXIX93N3d0apVKwCa1ybup60s4jpjDB5VUKBqu1jZZ0LsL/HokebIJ2LIDwwMhJWVFQRBqHF5TIFgbg7zeXOAomIo9u2H0NEPsvFjpS4W1ZIIAwKWEg0nmMWmAtkGDGp0MuGfUXuJiExd165dMX/+fACq7ldjx45FSkqKwcfTNtDRsWPHAABt27ZFSEhIzQtNtYLzmEpsx44dKC0txZQpU+Dm5lbl9rt27QKgqjXV9cRHDDJiX0dAVXuqVCrx3HPPadRGliW2vy8bqn744QcoFAqUlpZi2LBhWvcTB2Uy9AmUeI7JkyfrHApcnKezfBjMyspCSkoKbG1t4eHhoXVfMbjqCqZvvPGGzrKJtbNly1VZ+DRmMBXfv/KDXpUl9rcoP49pQkICfvrpJ/To0QOWlpY4ceJEjcvTvXt3pKen67WP0tIS2LiuxufWYGMDWFgAJSUQenSHIDPu8zUvTy8Ildxzqjsj5oWjsZO73vv998c/8MbTLxu/QHXMe9Cb6Dhivt77PXwEtPfqiOJHD4xfKBPx1IIzkDdxQVp6Glxde0hdnDozbto7sGls9/d1u+pc1pCVv15ev+lfv0JR+bDpn376qbrL0ueff64xuq6+dI2+6+7ujosXL0Iul+P1119HSEgIbt26pfM4np6eGt21qPqcnZ1x9uxZg/ZlMJXYwYMHAQBPPfVUtbaPiIgAAAwZMkTnNmLtXps2bdTLjhw5AgAYOnSozv2uX1eNmlE2VB0+fBiAqn9qVRMQu7u7V7peF/EcgwYN0rmN+OSsfLgUQ2enTp201goqFAqtTW9LS0sRExMDmUyms+9naWkpbt68CQDqhwbFxcWIjY2FTCbTOvepMYNpdZrp6mru279/f6SlpQEAFi1aZJRgmp6ern+tuLUVLKreqtqUSiVKV30FlBQDbq2h2LETsgH9IbTUPSKzvm6n3QYKqh5ggWqfUjCs33BRqdLgFhympHW+4Z/Du5n3kPcgzYilMS1iH7HS0tIG8V5Xl+Lv61aUuW5tyxqy8tfL66/f1+/u7o6RI0cCAG7evKmz5Vx1VDYlTGJiIlasWIFFixbBzMwMr776KhYuXKjzWOJ3KKpbDKYSE5/WtGvXrlrbi790WrdurXMbMYSUHQVWPE/btm217lNQUKCeSqVsqBIDYVJSkkbQNabk5GQA0Hn8kpIS9TXpqvXU1b/01KlTyMvLg729vcbxr169ikePHqF58+Y6a5AjIyORk5MDPz8/ODs7A1A1Oy4qKoKnp6fWGmJjBlNxxN/k5GSUlJRoHQApMTFRY1tRbTzlE++BPpSWlqj8cYZ+FHtDobxwEbJpL0HWuxdKZr2F0lVfwWxliNGaK7d0ackaUxNRUpANQPfvOl2Eknx1M/z6zNKsmqM+laNUlMKhSSPY29T/e6CL2G/MzMysQbzX1SX7+7plZa5b27KGrPz18vpN//oVCoXOoPfqq6+qv7Ns2LBBPc2LvqozT+nGjRvx4YcfwsLCAq+88go+/fRTnedzcXFhjamBDPm+KGIwlVheXh6Ain0EdRFHJhP3Ky8tLQ2//vorzM3NMX78ePXynJycSvfbvn07Hj58CDs7O43wKm4v9nesDVXdg127diEzMxO2trYVgnVsbCwA1QBR2uzYsQNAxUAr1qJW1kx2w4YNAIDnn39evayy4JmRkYGMjAzY29sbXHtcVkBAACwtLVFYWIizZ8+iV69eFbYRHyb07NmzxueriiHNMvJKS9D08J9GOb8yNRWK/2yF0MELsmcnQDAzg+yFyVB8tw2KvaEwGxdklPPEX4uHjRl/NZqCsBjgNwNadC1+Zzw6rRpf9YYm7n4e8OkvqrlK9eHvZoY1SYm1UygT8ckeVf9bF2eXGvVFq2+WrtuOh7l5GtetbVlDVv56ef2mf/15eXk6u2oNHz4cgKr1w+bNmw06fnVCKaBq+RUaGopnnnkGLVq0QKdOnXDu3Dmtx7x27RoHSZIAHwVITKz5FJvoVkXsRykO6FOWQqHA66+/jsLCQkyfPl1j9FwXF1VTR23zXWZkZKibM5RvEis2YRWbHNcG8cmKtmtKS0vDvHnztJYNUM0pCkBrbVlERIQ6XOqqaX3w4IHWqVaOHTuG7du3w9HREW+99ZZ6eWUj8l69ehVAxdpLQ9na2qr79W7atElrGePj42FpaYmgIOOEMlOlVChQ+sWXgEIBs3lz1FPDyJ6dAMHLE4r/bIXyNpvdNDS92wNmev6VspcDfqZZaaC3pjZARwOupa+n8ctCRGRsVlZW6jlLr1y5UmWXMW2qG0pFR48eVf+/OLAmmQ4GU4mJo8EuWbIEYWFhGutSU1OxdOlSjeGyn332WQBASEiIurYQUAW4Z599FqGhofD19a0w4pjYtzQkJETdLxNQBa2hQ4eqm1iUD1wTJkwAAHzwwQfYvXt3hfInJCRg8eLF+Ouvv/S5bJ1lKxsSz5w5g0GDBiEzM1Nr2YB/+rVu2rQJWVlZAFQBfc+ePQgKClIPBKUrmFpYWGDmzJnIzs5WrwsNDVW/L1u3btVo6lvZiLzik7WUlBSdNdP6+uijjyAIAr777jts27ZNvTwxMREvv6wa3OW1117TeAjRECl274Ey9gpkL70AocwgYYKZGczemwMoSlG66iuD5joj02XbCBjord8+T3XWP8yasif9AQs9utp6tgA6GK/LNRFRrenYsaP6e5qumsvK6BtKy5+ne/fuep+TalcD+vNdP7333nvo2rUrsrOzMXz4cLi4uCAwMBAeHh5o3bo1Fi5ciJYtW6q3nzVrFvr06YNbt26hU6dO8Pb2RqdOneDm5oaffvoJ3bt3xx9//FFhDs3g4GA4Ojri7t276N69O3x9feHt7Y0uXbrg7t276N27N4CK4W/OnDl44oknkJOTg4kTJ8LR0RHdunVDQEAAnJyc4OnpiUWLFtWo/6lYtlu3bsHPzw/+/v7w9PREYGAg2rVrh8GDBwPQHganTp0Kc3NznDt3Dq6urvDx8YGTkxMmTpyId955Rz1Cna45TL/99lscOXIErq6uCAwMROvWrREUFIQHDx5g7dq1GD16tNb9tIVkPz8/uLm54fbt23Bzc0Pv3r3Rr18/da2tIXr16oXly5dDqVRi6tSpcHd3R0BAALy9vZGQkICePXti+fLlBh+/PlDevAnFtv9C8PGG7JmKzTMF9zaQvTAZyksxUOwNlaCEVJtGdQF6VK8LPkZ3AQKruW190doBmPYEYF6NcOrmCEzrD8gaxuxQRNTAlf1+q631WmUMCaXlzyO2JiTTwWAqscaNG+P48eP4/PPP0blzZ2RnZyMmJgYKhQJjx47Ftm3bNNq4W1pa4s8//8TChQvRrl073LhxA7dv30bv3r2xfv16REREaB0u3NXVFeHh4Rg9ejRsbGyQlJQEpVKJ2bNnIzo6Wt0HtXzgatSoEQ4dOoQ1a9agV69eKCkpwaVLl5CRkQF3d3fMnj0bf/75p85BlarD1dUVx48fx6hRo2BtbY2kpCQ4ODhg48aN2L9/v/qXiLZg2qlTJ+zfvx+BgYEwMzPDvXv3MGTIEISHh2Pu3LlISEiAubm5Rh/U9PR0ZGRkwMHBATNmzEBoaCh8fHwQExODgoICjB8/HpGRkZg1a5bGuVJSUpCVlQUnJyetAwxYW1vj999/R1BQECwsLHDq1CmcOHFCZ7+K6goODsaBAwcwbNgwZGdnIy4uDl5eXliyZAmOHj0KuVxeo+ObOsHNDRb7f4H5mi/VTXjLM3tuEizCfjNaP1MyHTIBeL4XMKEH4KR9nDK4OQLT+wNDtXc1r/d8WwGzh6maKGvLnDZWwBBf4M2hgLzyqbCJiEzG1atXsXDhQixdulQ9ZkZ1NG3aFDt37tQ7lALAw4cPERISgsWLF2P79u0Gl51qh6Bk2zcyYbm5ubCzs4MgCMjJyWnwIaw2LFq0CIsXL5akmasxBz+qK/cHD+PgRyZKoQTi04HkTKCwBLC2ALxdVMH0cZGVC1y8BeQWqGpRm9sBnVrr19y3IRAHP2rSCFhc/8e5qjZxoBu7xjZYMGuyzmUNWfnr5fWb/vVXNviRoUaNGoU9e/bg559/rnYo1Udubi4HP5IAv32RSbt8+TKUSiW8vLwYSvUk9gkW+yKLr93d3dmvguolmaAKot6Pcesrx8bAIB+pS0FEJK39+/ejX79+OH/+vNFDKUmHwZRM2qVLlwBob8ZLlZs4caLW1y+99BK2bt0qQYmIiIiIjOPMmTNSF4GMjMGUjCoqKkpjepWqTJ8+HdOnT9e5vqEEU2Pfl+pgK30iIiIiqi8YTMmosrOzceLEiWpvL04Vo0tDCabGvi9ERERERA0JgykZ1cCBA41aU3f48GGjHUtKxr4vREREREQNCaeLISIiIiIiIkkxmBIREREREZGkGEyJiIiIiIhIUgymREREREREJCkGUyIiIiIiIpIUgykRERERERFJisGUiIiIiIiIJMVgSkRERERERJJiMCUiIiIiIiJJmUtdACJquOQyM9wfPEzqYuhFLjOTughEREQNhlwuR25urtGO98XGnXiYlw87GznmvfavCq+NQS6XG+U4pB8GUyKqNYIgwMaMv2aIiIgeV4IgwMbGxmjHs7SyhmVxKSytrGFjY1PhNdVfbMpLREREREREkmIwJSIiIiIiIkkxmBIREREREZGkGEyJiIiIiIhIUgymREREREREJCkGUyIiIiIiIpIUgykRERERERFJisGUiIiIiIiIJMVgSkRERERERJJiMCUiIiIiIiJJMZgSERERERGRpBhMiYiIiIiISFIMpkRERERERCQpBlMiIiIiIiKSFIMpERERERERSYrBlIiIiIiIiCTFYEpERERERESSYjAlIiIiIiIiSZlLXQAiariUSiXyFaVSF0MvcpkZBEGQuhhERETUACiVSuTn50tdDL3I5XJJvgsxmBJRrclXlKLp4T+lLoZe7g8eBhsz/mokIiKimsvPz0fjxo2lLoZecnNzYWNjU+fnZVNeIiIiIiIikhSDKREREREREUmKwZSIiIiIiIgkxWBKREREREREkmIwJSIiIiIiIkkxmBIREREREZGkGEyJiIiIiIhIUgymREREREREJCkGUyIiIiIiIpIUgykRERERERFJisGUtJo4cSIEQcDWrVulLkqdaNasGQRBQEpKSrX3USqVaNKkCQRBwN27d2uxdEREREREKo6Ojmjbti3atWsHZ2dnvfefNWsWWrZsWQslqxkGU9LqwoULAIAuXbpIW5A6kJKSgszMTDg4OMDV1bXa+yUnJ+Phw4dwdnZGs2bNKqxfuXIlFi1ahOzsbKOUMywsDCNGjICjoyPkcjn8/f2xbNkyFBUVGeX4RERERGR63Nzc8NFHH2Hfvn1IS0tDZmYmrl+/jsTERKSlpeHevXs4ePAgli1bBn9//0qP9cknn+Cbb77BkSNH4OLiUkdXUD0MplRBXl4eEhMTYWFhAV9fX6mLU+uio6MBAJ06ddJrv5s3b6JDhw4YPnx4hXXZ2dkIDg7GihUr0Lhx4xqXcdWqVRg+fDj++OMP2NraokOHDoiLi8OCBQswaNAgPHr0qMbnICIiIiLTMWDAAPzyyy+4ceMGPvvsM4waNUprDWnTpk0xZMgQzJ8/HxcvXsSxY8cwYcKECtt98sknWLRoEQDAy8tL63dYKTGYUgUxMTFQKBTw9fWFpaWl1MWpdYYG0/79+yMuLk5rc+fz589DqVTC398fZmZmNSrf6dOnMW/ePHXT6qSkJERFRSEuLg4eHh6IiIjABx98UKNzmLrS/2xF8ZNPQXEgrMI6pVKJkvfeR/GoMVDeSKr7whFRncnKBfZHA3mFqtf5RcDVNEChlLRYRERGZWdnh82bN+Ovv/7CmDFjIJP9E9nE2tEdO3Zg+/bt+O2333D79m2N/Z944gn8+OOP+O2339StAcuGUgB45513TK7LnrnUBSDT8zg14wX+ud7OnTsb7Zjnz58HAAQEBNT4WJ999hmUSiWmT5+Ol156Sb28ffv22LJlCwYMGID169djwYIFaN68eY3PZ4pkL06GIvIUSjdugtCtK4RmTup1ij17obx4CbLpUyG0dZeukERUa+7nAbvPALGpQNkMWlwKrD8MNLMFng4AOrWWrIhEREYRGBiI3bt3o3Xrf36h3bp1Cxs3bsTOnTuRmJiodT8XFxeMGzcOM2fOhJ+fHwBg5MiRiImJwYEDBzBp0iT1tu+88w7WrFlTuxdiANaYmhiFQoHdu3dj7NixaNmyJaysrNCyZUsMHjwYa9asqdCfMDc3FytWrECPHj3QtGlTNGrUCF27dsWGDRugVOp+hJyVlYX3338fnp6esLa2hoeHB7744gsolUpcvHgRgPagVlRUhE2bNmHo0KFwdHSElZUVPDw8MH/+fOTm5hrlHmRmZiI4OBgeHh6wtrZG69atMXv2bOTl5eHll1+GIAj45ptvNPZJSkqCIAiVtpXv1q0bBEFAeHi4xvKyNaYnT57EuHHj0KxZM8jlcvTp0wdhYRVr6QDA3d0dgiAgLi5Oveynn36CIAh47733AAAbN26EIAjqn6VLl+p1L3JyctTnf+WVVyqs79+/P7y8vFBUVITQ0FC9jl2fCBYWMJ83FygoQOmXq9XLlbdSoNj6PQTvDpBNfEa6AhJRrbmbA6z+A7hcLpSW3+a7Y0DEtTotGhGRUfXv3x+HDh1Sh9KcnBy89tpraNu2LZYsWaIzlAJAWloavv32W3Ts2BFjxoxBamoqAKBJkyb1IpQCrDE1KXfu3MGzzz6Lo0ePAlB1dO7SpQvS09Nx5MgRREZG4s0331Rvf+HCBYwfPx7Xr19Ho0aN4OXlhezsbERHR+ONN95AZGSk1ir66OhoPPXUU0hLS4NcLoevry9u376N4OBg3Lx5U2eNaUJCAsaOHYvLly/D3Nwc7dq1Q/PmzZGQkICQkBD8+eefOH78OORyucH3IDo6GiNHjkR6ejpsbGzUZfv666+RmJiIe/fuaS1bVFQUAN01lMXFxYiJiYEgCBqBOzc3F4mJiTAzM8OhQ4ewYMECODk5wdXVFVevXsXJkycxcuRI/PzzzxgzZox6vwcPHiA5ORlyuRxeXl7q5Xl5eejbty/OnTuHgoICBAQEaNyPPn366HU/oqKiUFRUBCsrK3Tv3l3rNv369UN8fDwiIyMxY8YMvY5fnwieHpD961kotv8Axf7fIYx4EqUrVgJKJczmzYVQwybTRGR6ikuBjUeA7Gp0o1cC+PG0qvbUU/9BKomIJBUQEIB9+/apxyY5fvw4XnjhBdy8eVPvY/366684fvw4jh07pjEY0pYtW0w2lAKsMTUZeXl5eOqpp3D06FEMGDAAFy5cQHJyMk6dOoXk5GTExMRg/vz56v6KN27cwPDhw3H9+nXMnj0baWlpiI6Oxo0bN3D48GHI5XJs27YNe/fu1TjP3bt3MXr0aKSlpWHOnDlIT0/H+fPnkZ6ejmXLlmHdunU4c+YMAM3wd+/ePYwcORKXL1/GjBkzkJqaiqtXr+LKlSuIjY2Fj48Pzp8/j6+++srge5CZmYmnn34a6enpmDt3LtLS0tRlCwkJwf79+3HmzBkIglChP6gYTHU1P758+TKKiorQtm1b2NraqpdfuHBBXbP8+eefY8uWLbh9+zaioqKQlpaGIUOGQKFQ4N1339WogRZrWf39/TXa/U+ZMgXHjh1TLzt8+DDCw8PVPwMHDtTrnsTHxwMA2rRpA3Nz7c+R2rdvr7FtQyab/BzQrh1KN22GYt0GKK/GQzZ1CoTW1R9NmYjqj6hkIDOn+tsrARy8XGvFISKqFdbW1vjhhx/U31H379+PYcOGGRRKRbNnz64wQu8zzzxjktPEiBhMTcTcuXNx7tw59OvXD2FhYRWCl5+fHz7++GP162nTpiEjIwPvvvsuVq9ejSZNmqjXDRw4EK+//joAYOfOnRrHefPNN5Gamoq33noLq1at0ghp8+fPR5cuXVBYWAg3Nzc0bdpUvW727NlISEjA7NmzsWnTJo2+jJ6enli7di0AVAjC+nj77beRkpKCN998EytXrtQoW3BwMDp37oySkhK4u7vDzs5OY18xKOqqMRX7fJYPrmLtcGlpKb7//ntMnTpVHf6bNGmCzZs3QyaT4fr16xrBr7J+uPHx8cjPz0ebNm1gb29f7evX5v79+wCg8V6UJ64Tt23IBHNzmM+bAxQVQ7FvP4SOfpCNHyt1sYioloQb8Lztajpw56Hxy0JEVFs+/fRTdOjQAQBw5swZTJgwAYWFhQYfr/xAR+L3YHt7e2zcuLFGZa1NDKYmIC4uDps3b4aVlRW2b99e5Ui4x44dw9GjR2Fvb4/PPvtM6zZdu3YFoKpZFcXExODHH39E06ZNsWTJEq37BQYGAtDsX3r58mXs2LEDzs7OWLZsmdb9xIAmtmfX15UrV7Br1y44OTnpPEe3bt0qlE1UVY2p+A+y/L5ioB05ciTGjRtXYT93d3e0atUKgOa1iftpK4u4zhiDRxUUFABApZ8JKysrAKgwZczu3bvxzDPPoE2bNpDL5fD29saHH35otL7AkrGxASwsAABCj+4QZPw1RtQQ5RcCN7MM2zcuzbhlISKqLT4+PpgzZw4A1fe+KVOmqL//GULb6LtDhw5FWprqF+Po0aMRFBRUozLXFvYxNQE7duxAaWkppkyZAjc3tyq337VrFwBVramNjY3WbcQgY21trV62c+dOKJVKPPfccxq1kWVZ/P2Fv2yo+uGHH6BQKFBaWophw4Zp3U8clElXeaoinmPy5Mk65/1s1KgRgIphMCsrCykpKbC1tYWHh4fWfcXgqiuYvvHGGzrLJtbOli1XZeHTmMFUfP/KD3pVlvhETbw/opUrV8LNzQ1Lly6Fq6sroqOjsXjxYhw9elSjuXF1de/eHenp6Xrto7S0BDau02ufSo+nVKJ01VdASTHg1hqKHTshG9AfQkvjTRDt5ekFoZL7TUR1Q97UFU/NjzRo30+XrEDc4a+NXCLpjZv2Dmwa2yEtPU09BYS2ZQ1Z+evl9T9e1w/Uv3ugUCgqXT9z5kx1a73PPvtMY1BNfWkLpWKf0pkzZ+Lnn38GALz11lv45ZdfdB7H09NT7++JImdnZ5w9e9agfRlMTcDBgwcBAE899VS1to+IiAAADBkyROc2Yu1emzZt1MuOHDkCABg6dKjO/a5fvw5AM1QdPnwYgKp/6t27dystm7u7e6XrdRHPMWjQIJ3bpKSkAKgYLsXQ2alTJwiCUGE/hUKhteltaWkpYmJiIJPJdPb9LC0tVbfvFx8aFBcXIzY2FjKZTOvcp8YMptVppqurue+vv/6KZs2aqV8PGDAAzZo1w+TJkxEeHo7+/fvrVZb09HT9a8StrWCh3x6VUuwNhfLCRcimvQRZ714omfUWSld9BbOVIVrfe0PcTrsNFBjefIaIjKNRjuEPiO7dTTO4BY8pU5SWqv8rXp+2ZQ1Z+evl9T9e1w80rHvQuHFjTJkyBYBqvJnys07oo7JQCgC//PILrl69ig4dOmDIkCHw9vbWGYLF2tW6xmBqAm7dugUAaNeuXbW2F//RlZ3fqLwTJ04A0BwFVjxP27Ztte5TUFCgnkqlbKgSA2FSUpJG0DWm5ORkANB5/JKSEvU16ar11NW/9NSpU8jLy4O9vb3G8a9evYpHjx6hefPmOmuQIyMjkZOTAz8/Pzg7q4Z5vHLlCoqKiuDp6am1htiYwVQc8Tc5ORklJSVaB0AShw4vOzowAI1QKhJH9jXkF7d4/fpQWlqi8kcZehwrNRWK/2yF0MELsmcnQDAzg+yFyVB8tw2KvaEwG2ecZiktXVqyxpTIFAgCcrOS0dix+n93lEolBEFA6cMb6m4YDYns71oVmZmZ+vq0LWvIyl8vr//xun6g/t0DhUKhM+iNGjVK3TLvf//7Hx4+NKyDfFWhFFD9fly/fj1Wr14NAHjuuefwySefaD2ei4tLjWpMDcVgagLy8vIAVOwjqIs4Oqy4X3lpaWn49ddfYW5ujvHjx6uX5+TkVLrf9u3b8fDhQ9jZ2WmEV3H7mrR3r0pV92DXrl3IzMyEra1thWAdGxsLAOrJhMvbsWMHgIqBVqxFrayZ7IYNGwAAzz//vHpZZcEzIyMDGRkZsLe3N7j2uKyAgABYWlqisLAQZ8+eRa9evSpsIz5M6NmzZ5XHE2vNfXx89C6LIc0y8kpL0PTwn3rvV55SoUDpF18CCgXM5s1RTw0je3YClCcioPjPVsh6BhqlSW/8tXjYmPFXI5EpOHQZ+DW6+tsLgoCW9kB0+F4YqRGFSVm6bjse5ubBxdlF/dBY27KGrPz18vofr+sH6t89yMvL09lNrUePHur/r6xpbWWqE0rLnkMMprqmIQSAa9euGdw9ryY4aogJEGs+xSa6VRH7UYoD+pSlUCjw+uuvo7CwENOnT9cYPdfFRfWlPTKyYp+djIwMLFy4EEDFJrFiE1axyXFtEJ+uaLumtLQ0zJs3T2vZANWcogC0NuWMiIhQh0tdNa0PHjzQOtXKsWPHsH37djg6OuKtt95SL69sRN6rV68CqFh7aShbW1t1v95NmzZpLWN8fDwsLS2r7MiempqKhQsXYsSIEUapza1Lit17oIy9AtlLL0Ao0w9bMDOD2XtzAEUpSld9pTGlDxHVfz3bA1Z6Pica4I0GGUqJqOERB/YEgHPnzum9vz6hFFC1fszKyqpwblPBYGoCxNFglyxZgrCwMI11qampWLp0Ka5du6Ze9uyzzwIAQkJC1LWFgCrAPfvsswgNDYWvry9CQkI0jiX2LQ0JCVH3ywRUQavsaF3lQ8uECRMAAB988AF2795dofwJCQlYvHgx/vrrL30uW2fZyobEM2fOYNCgQcjMzNRaNuCffq2bNm1S/2NTKBTYs2cPgoKC1ANB6QqmFhYWmDlzJrKzs9XrQkND1e/L1q1bNZr6VjYir/h0KSUlRWfNtL4++ugjCIKA7777Dtu2bVMvT0xMxMsvvwwAeO211zQeQpSXm5urvhf/+c9/jFKuuqK8eROKbf+F4OMN2TPjK6wX3NtA9sJkKC/FQLE3VIISElFtaWwNTO8PmFXz20pvDyCwer1iiIgk5+3tDUD1Hf7OnTt67atvKBWJ32NbtGhR6XSEUmAwNQHvvfceunbtiuzsbAwfPhwuLi4IDAyEh4cHWrdujYULF2pMhjtr1iz06dMHt27dQqdOneDt7Y1OnTrBzc0NP/30E7p3744//vijwhyawcHBcHR0xN27d9G9e3f4+vrC29sbXbp0wd27d9G7d28AFcPfnDlz8MQTTyAnJwcTJ06Eo6MjunXrhoCAADg5OcHT0xOLFi2qUf9TsWy3bt2Cn58f/P394enpicDAQLRr1w6DBw8GoD0MTp06Febm5jh37hxcXV3h4+MDJycnTJw4Ee+88456hDZdc5h+++23OHLkCFxdXREYGIjWrVsjKCgIDx48wNq1azF69Git+2kLyX5+fnBzc8Pt27fh5uaG3r17o1+/fupaW0P06tULy5cvh1KpxNSpU+Hu7o6AgAB4e3sjISEBPXv2xPLly3Xu/+jRIzz99NO4ceMGwsLC1DXn9YXg5gaL/b/AfM2X6ia85Zk9NwkWYb8ZrZ8pEZmODi7A64MBO2vd28gEYKgfMDGQtaVEVH+kpaXh1q1b6sFHq+vDDz80KJQCqjFnUlNTkZCQoJ6Nw1QwmJqAxo0b4/jx4/j888/RuXNnZGdnIyYmBgqFAmPHjsW2bds02nlbWlrizz//xMKFC9GuXTvcuHEDt2/fRu/evbF+/XpERERoHS7b1dUV4eHhGD16NGxsbJCUlASlUonZs2cjOjpa3Qe1fOBq1KgRDh06hDVr1qBXr14oKSnBpUuXkJGRAXd3d8yePRt//vmnzkGVqsPV1RXHjx/HqFGjYG1tjaSkJDg4OGDjxo3Yv3+/uhZVWzDt1KkT9u/fj8DAQJiZmeHevXsYMmQIwsPDMXfuXCQkJMDc3FyjD2p6ejoyMjLg4OCAGTNmIDQ0FD4+PoiJiUFBQQHGjx+PyMhIzJo1S+NcKSkpyMrKgpOTk9YO9tbW1vj9998RFBQECwsLnDp1CidOnNDZt6C6goODceDAAQwbNgzZ2dmIi4uDl5cXlixZgqNHj0Iul2vdr7i4GBMmTMDZs2fx+++/w9fXt0blICKSgmcL4OOxwEv9AC9nwF6uqk11aQI81RlYNA4Y3UUVUImI6ouuXbvCzc0N/fr102u/6Oho9Rgp+oRSQDXdpKurKzw9PfWupa1tHOHDRMjlcnz44Yf48MMPq739p59+ik8//VSv83h7e+PXX3/Vuu7SpUs697OwsMDbb7+Nt99+W6/z6cPHxwf79u2rsDw3NxdJSUmQyWTo2LGj1n2ffPJJPPnkk1rXlf49jHhZzs7OGv0RR40ahVGjRlVZRldX1yr7Mfr6+mLv3r1VHktfw4cPx/Dhw6u9vTgv7KFDh/Dbb78hMDDQ6GUiIqor5mZAQBvVDxHR42z//v0YP3482rVrh7Vr10pdHKNhMCWTd/nyZSiVSnh5eemsGaSKZs2ahR9//BHz58+HXC7XGPSqffv2WqeTISIiIiLTt3//fqmLYHRsyksmT6zJ1daMl3T7/fffAQDLly9H7969NX4a4i8zIiIiIqq/WGNKRhcVFaUxvUpVpk+fjunTp+tc31CCqbHvS1WSkpIM3peIiIiIqC4xmJLRZWdn48SJE9XeXpwqRpeGEkyNfV+IiIiIiBoKBlMyuoEDB1Y5QJA+Dh8+bLRjScnY94WIiIiIqKFgH1MiIiIiIiKSFIMpERERERERSYrBlIiIiIiIiCTFYEpERERERESSYjAlIiIiIiIiSTGYEhERERERkaQYTImIiIiIiEhSDKZEREREREQkKQZTIiIiIiIikpS51AUgooZLLjPD/cHDpC6GXuQyM6mLQERERA2EXC5Hbm6u0Y73xcadeJiXDzsbOea99q8Kr41BLpcb5Tj6YjAlolojCAJszPhrhoiIiB5PgiDAxsbGaMeztLKGZXEpLK2sYWNjU+F1fcamvERERERERCQpBlMiIiIiIiKSFIMpERERERERSYrBlIiIiIiIiCTFYEpERERERESSYjAlIiIiIiIiSTGYEhERERERkaQYTImIiIiIiEhSDKZEREREREQkKQZTIiIiIiIikhSDKREREREREUmKwZSIiIiIiIgkxWBKREREREREkmIwJSIiIiIiIkkxmBIREREREZGkGEyJiIiIiIhIUgymREREREREJCkGUyIiIiIiIpIUgykRERERERFJisGUiIiIiIiIJMVgSkRERERERJJiMCUio/jiiy/Qu3dvNG3aFPb29ujXrx8OHDggdbGIiIgq9dtvv6FLly6wsrKCu7s7vvzyS6mLVKeOHTuGoKAgtGnTBoIg4PPPP5e6SPSYYjAlIqM4fPgwpk+fjiNHjuD06dPo06cPRo8ejRMnTkhdNCIiIq3Onj2LoKAgjBw5EtHR0Vi0aBEWLFiADRs2SF20OpObmwtfX1+sWLECzs7OUheHHmPmUheAiBqG33//XeP1ihUrcODAAezZswd9+/aVqFRERES6ffnll+jRoweWLVsGAPDx8cHly5exfPlyvP766xKXrm489dRTeOqppwAA77//vsSloccZa0yJqFYoFAo8fPgQNjY2UheFiIhIqxMnTmDEiBEay0aMGIHk5GSkpKRIVCqixxNrTImoVixduhQPHjzAq6++KnVRiIionsm6/xB/HDtdYfmjggL1f3f8crDCa5FMJsOYoX0gb2Rd6XnS0tIqNF8VX6elpcHV1bVG12EopVKJ3/86hQcPczWWV/f6AaCLrwd8Pd3rpLxExsBgSkRG9+2332Lp0qUIDQ2V7I86ERHVX45N7WBubobzMde0ri8uKcXFuOs6Xw/u07XKUGrKBEGAV7vW2Lxzv9b1VV2/k0MTTBg5oNbLSWRMbMpLREa1cuVKzJs3D6GhoRg6dKjUxSEionpqzNC+sLdrrPd+rZydMKRP12pt6+LigvT0dI1lGRkZ6nVS8mjTCv26++u9n0wQMGnUIFhaWtRCqYhqD4MpERnNxx9/jMWLF+O3335jKCUiohqxtrLExFEDIeixj7m5GSaNHgwzs+p9xe3bty/++OMPjWUHDhxAmzZtTKLFz/ABPdDcsale+wzqE4DWLZvXUomIag+DaT2zaNEiCIKARYsWSV2UKukq619//QVBEDBw4ECjncvd3R2CICApKcloxyxr6tSpEAQBW7du1Wu/pKQkCIIAd3f3WimXKXnnnXfwxRdf4L///S86dOiA9PR0pKenIzs7W+qiERFRPdXerSX69qh+reHIgT3R3NG+2tu/++67OH36ND788EPExcVh27ZtWLt2LebPn29AaY3Pwtwck54eBDNZ9b6yuzo3w+De1astFuXm5iI6OhrR0dEoKipCeno6oqOjkZCQYEiRiQzGYPoYUygUWL9+PXr06AFbW1vY29ujf//+2LVrl9RFeyysXr0aixYtwoMHD4x63DNnzuCZZ55BixYtYG1tDS8vL8yfPx8PHz406nnKW7NmDQoKCjBu3Di4uLiof2bPnl2r5yUiooZteP8eaOFUda2hR5tW6N3VT69j9+jRA3v37sW+ffvQuXNnfPzxx1iyZIlJTRXTqoUThvbrVuV2FuZmmDR6ULVri0Vnz55FQEAAAgICkJaWhnXr1iEgIAAzZswwtMhEBuHgR48phUKBZ555Bnv37oUgCPDz80NhYSGOHz+O48ePIzIyEl999VWtnFsul6NDhw5wc3OrleObEgsLC3To0AGtWrWqsG716tVITk7G1KlTYW9vb5Tz7dq1Cy+88AJKSkrg4uICPz8/xMbGIiQkBHv27EFERAScnJyMcq7ylEplrRyXiIgebxbm5pg0ehDWfb8XpQqF1m2srSwx8akBkAn6NPxVGTVqFEaNGlXTYtaq/j07Iy7xJpJTM3RuM3JgTzTTo7ZYNHDgQP4NJ5PAGtPH1Jdffom9e/eiWbNmOH36NC5duoT4+Hj8/vvvaNSoEVavXo29e/fWyrkDAwMRFxeH77//vlaOb0patWqFuLg4HDp0qNbPdevWLUydOhUlJSX4/PPPkZKSgnPnziE5ORk9e/bEtWvXTObp55mLcfgrMhqFRcVSF4WIiOqBli2cMOyJ7jrXj32yH5oYMFBSfWEmk+HZUYNgaaG9TsnT3RW99KwtJjI1DKaPoaKiIixfvhwAsGrVKnTv/s8v+hEjRqj7VSxevFiS8pFhVqxYgYKCAgwePBgffvghZH/3R2nevDl27NgBMzMz/PLLL4iOjpa0nMXFJQg7dgYHjp7GxSuJkpaFiIjqj/6BndCmVYsKyzv7tEcXXw8JSlS3HJvaYfTg3hWWN7K2wgQDa4uJTEmDCKaCIED4+x/jr7/+iqFDh8LR0RGCIOCvv/5Sb5eWloZ33nkHnp6esLa2hr29PZ544gls2bIFCi1NQ7Zu3QpBEDB16tRqnVvX8oMHD2Lo0KGwt7eHjY0NevfujV9//VXnMQsKCrBo0SJ4eHjA2toarq6ueP3115GZmVnNO1K5v/76C1lZWbC1tcWkSZMqrH/llVcAoNY6vusa/Kj8QEH/93//hz59+sDW1hZ2dnYYOnQoTpw4off5vv/+e1hYWMDGxgYHDhyocfmTkpIwZcoUuLi4wNraGt7e3liyZAkKCwu1blt+8CPxc5WcnAwAaNu2rfrzYsgAS4CqGe2ePXsA/PP+ldWuXTsMGTIEALB79269j29Mpy5cQU7eI9jbNUZAR09Jy0JERPWHTCbDs6M1p0GxayxH0LC+EpaqbvXo7A3v9ppdocY+2Q9NbG0kKhGR8TSIYCpatWoVxowZgwsXLqB9+/Ya/frOnz+PTp06Yc2aNbh16xb8/Pzg5OSE8PBwzJgxA0FBQSguNn6zws2bN+PJJ5/EhQsX4OHhASsrK0RGRiIoKAg//vhjhe0fPXqEYcOGYfHixUhMTES7du3g6OiITZs2oUePHrh3716NyxQZGQlA1aTW0tKywnoXFxe0a9dOY9u6tnDhQkyaNAnJycnw8vICABw6dAiDBw/WK5yuXr0aU6dORePGjfHnn39ixIgRNSpXYmIiunXrhp07d8LFxQVt2rTB1atX8dFHH2HEiBEoKCio8hgtWrRA3759YWVlBQDo3r07+vbtq/5p0aLi0+Cq3Lp1C7dv3wYA9OvXT+s24nKp3lNAVVt6NDIaADC4dwDMzcwkKwsREdU/jvaatYYTnxoIeSNrCUtUtwRBwDMj+sPm72vu7NMenX3aS1wqIuNoUMF0wYIF+Oabb5CRkYHTp0/j1q1b6N27Nx49eoSJEyciMzMTI0eORGpqKs6dO4eEhAT89ddfaNq0Kfbt24dPP/3U6GV6++23sW7dOmRkZODs2bO4e/cu3n77bSiVSsydO7dCTe2iRYsQHh4OFxcXnDt3DrGxsbhw4QKuXr2KRo0aYcOGDTUuU3x8PACgfXvdv8jEdeK2dSk1NRVfffUVdu/erX6vMjIyMGHCBBQVFSE4OLhax1m4cCHeffddODs749ixY+jTp0+NyxYSEgJfX18kJyfj/PnzuHr1Kk6ePIlmzZrhr7/+wmeffVblMUaOHInw8HA4OzsDAH788UeEh4erf0aOHKl3ucT3ycrKSutAS4C076mobG1pV38vycpBRET1V49OHeDj4YbeXf3g2Vb6uUbrmm1jOcaNeAJ2jW0Q9KT2h9FE9VGDGpX3lVdewaxZs9SvBUGAlZUVvvvuO1y/fh329vbYuXMn7Ozs1NsMGDAAq1atwvTp07FmzRq8//77aNzYeJ3nX3rpJbzxxhvq12ZmZlixYgV27tyJW7du4eLFi+jSpQsA1TxS69atA6CaeqNr13/mofLw8MC2bdsQGBhY4zLdv38fANC0qe6h18V14rZ1SRy855lnnlEva9SoEb755huEhoYiIiIC9+/f11l+hUKBN998E+vXr0e7du3w559/qmuAa0oQBOzatQsuLi7qZb169cJXX32FF154AWvXrsUHH3xg1M9QdYjvk729vdam5UDN39O12/YgJ/eRYQWEqrlxbr5q/4LCIqzYsNPgYxERPY5y8vLV/126brvOZY8DpVKJ1PRMXI5PkrooklEoFVi9RdruOVIo/5l/3P4NmPr12zZuhLdeGm/Qvg0qmOrqCyr2K5w2bZpGKBW98MILeP/993H37l2cOHECw4cPN1qZXnvttQrLrKys0KVLF4SFhSExMVEdTI8fP468vDw4Oztj/PiKb2iPHj3Qs2dPnDp1qkZlEpubamvGW7aMgKppsRS03bcWLVrA3d0d8fHxuH79Orp1qzinV3FxMSZPnoydO3fC398ff/zxh0aIrKnx48ejZcuWFZZPmjQJc+bMwZ07d4z+GaqOunhPc3If4WFunkH7lldQWISCwiKjHIuI6HGjVCor/D7WtoyoISv/mX/c/g00xOtvUMHUx8dH63Kx6WLHjh21rhfnmrx79y6uXr1q1FDh6al9cBexH2Fubq562dWrVwEAXl5eMNPR987X17fGwdTaWtUvoahIdzAQB/Jp1KhRjc5lCCcnJ53zerZo0QLx8fEa962s5557DufOnUOfPn2wb9++SmuFDeHr66t1ubm5Oby8vHDnzh2jf4aqoy7eU9vGhn8WxNpSpVIJaytLWFpYVL0TERFpyMnLh1KphCAIsLWR61xG1JCV/8w/bv8GTP36a/J9sUEFUxsb7SOS5eTkAEClg8qI68Rta7tM4lQeZSc0FsNW8+bNdR7PkIFxyqtOk87qNPetLbruGaD9vpV17do1AKqmz02aNDF62arz3hj7M1Qd4vv04MED9S+n8mr6nhraLAMAws9ewr5DJ2Fv1xjvvTqJgx4RERlg6brteJibB1sbORbMmqxzGVFDVv4z/7j9G2jI19+ggqkutra2AICMjAyd24jrxG0BqL/c6wpBeXnGrS4X+yXevXtX5zaVXUN1iaPcJibqnkNSXCduW1/s3r0bU6dOxffffw9zc3Ns3rxZZ59LQ9y5c0fnOm2foboivk+FhYVITU2Fq2vFwSBq+p7+f3v3HlVVnf9//HUON5WLgokgJvwQQcFUtJM6eMG+pXgr7WtemtXAjNk4lZeWpZaTZXkrHcuU0ii1XPOzRscca6lkkoxSiTIyk3fzmgSoZRIqymX//nA4PxFQOBzYos/HWqxi78/en/c+gctX+3NxdI4pc0sBwDmYYwrc+nMsa9ut/vzMMb2J8PBwZWZmas+ePRWeLyoqsg+jjYiIsB8vfXNXWRgsfTvnLKV9Hzx4UCUlJfa3g9fav39/jfvp2rWrJCk9PV1XrlwpNy/xxx9/1NGjR8u0rS/atGmjr776SrGxsVq2bJlcXFy0dOlSp4XTffv2VXi8uLjYPmT82p+hG3FmYL777rsVGBio7Oxsbd++XSNHjizXZvv27ZIc/2/qjDmmzC0FgJpjjilwe86xrI7b8fnviGDav39//e1vf9Py5cv1yiuvlFsA6a9//avOnDkjb29vxcT8/02aw8LCJEmZmZkVBrh3333XqXX26NFDnp6eysnJ0aefflpmVVpJysjIcMoelH369JGfn59+/vlnffLJJ3r88cfLnH///fclSR07dqx0juytLDw83B5Ok5KSZLVa9e677zolCK5du1bZ2dnlFlT65JNPdPr0aXl5eZX5GbqR0rmezlhgymKx6JFHHlFiYqKSkpLKBdOjR49qy5YtkqRhw4Y51IcjcwaYWwoAzsMcU+DWn2NZ227152eO6U2MHDlSr732mo4ePaqRI0dq5cqVatq0qaSrK+FOmjRJkjRhwoQy23x06NBBd999t3744QdNnTpV8+fPl9VqVUlJiZYuXaqPPvrIqXV6e3vrT3/6k+bPn68JEyYoNDRU0dHRkq4Gi/j4eLm5uamwsLBG/bi7u2vy5MmaOnWqJk2apMjISPsKt5s2bdLcuXMlSdOnT6/ZA5koIiJCKSkp6tOnj5YuXSoXFxf7Vjw1YRiGRo0apY8//ti+D2l6erqeffZZSdIzzzxT5a1iWrdurf379yslJaXShbuq4/nnn9cHH3yglJQUzZo1Sy+88IKsVqtOnz6txx57TMXFxRo8eLD9Z6q6HBmWwdxSAHAe5pgCt/ccy6q4nZ+//FjR21CDBg20evVqNW3aVBs3blRQUJDuvfdehYeHq1evXvrpp580aNAgvfTSS2Wus1qtmj9/viwWi958803dddddstlsCggI0NNPP63Fixc7vdYZM2aoe/fuysrKUufOnRUVFaVOnTopPDxcFy5c0NixY53Sz3PPPafBgwfrzJkzstlsuueeexQREaH+/fvr0qVLGjduXIVb1tQn7dq1U0pKivz9/fXOO+9o/PjxNb7nlClT9N1336lVq1bq3Lmz2rZtq65du+r06dPq2bNntcL8qFGjJF0Ns1FRUYqNjVVsbKx9e6PqCg4Otg9f/vOf/6yWLVuqS5cuCg4O1o4dOxQWFmZ/G14XCguLlPptpiTp/u7RhFIAAABU6o4IppLUuXNn/ec//9H48ePVsmVL7dmzR7m5uYqJiVFSUpLWrVtX4R6Qw4cP1z/+8Q91795dBQUFOnjwoNq3b68vvvhCo0ePdnqdjRo10pYtW/TSSy8pNDRU33//vc6ePasnnnhC6enp8vPzc0o/Li4uWrdunRYvXqzo6GgdO3ZM2dnZiomJ0apVq/T22287pR+zRUZGasuWLWrWrJkWLVqkiRMn1uh+rVu3VkZGhkaMGKHs7GwdO3ZMbdq00auvvqrNmzdXayuWxx57TImJiYqOjtbx48eVmpqq1NRU5eTkOFzfqFGj9PXXX2vIkCEqKirS3r17FRQUpMmTJysjI+OGqwo7287/HNCvFy6piY+XOt9TvxbRAgAAQN2yGJUtOQsANXD5SqG+3b1Xjb291CkyzOxyAKDeKx2y5+PlWW4o77XHgNvZ9T/zd9rvwO38/HfEHFMAdc/D3U29u3YyuwwAAADUA3fMUF4AAAAAwK2JN6b13Lhx47R79+4qty/dy7I6cnJyqrXFyIABA/Tiiy9Wu5+6UB+eZePGjZo1a1aV20+bNk39+/evxYoAAACA2kUwree+++47paWl1WofBQUF1eqjdP/XW1F9eJbc3Nxq1Zibm1uL1QAAAAC1j2Baz23durXW+wgJCdHtskZWfXiWhIQEJSQkmF0GAAAAUGeYYwoAAAAAMBXBFAAAAABgKoIpAAAAAMBUBFMAAAAAgKkIpgAAAAAAUxFMAQAAAACmIpgCAAAAAExFMAUAAAAAmIpgCgAAAAAwFcEUAAAAAGAqgikAAAAAwFQEUwAAAACAqQimAAAAAABTEUwBAAAAAKYimAIAAAAATEUwBQAAAACYimAKAAAAADAVwRQAAAAAYCqCKQAAAADAVARTAAAAAICpCKYAAAAAAFMRTAEAAAAApiKYAgAAAABMRTAFAAAAAJiKYAoAAAAAMBXBFAAAAABgKoIpAAAAAMBUBFMAAAAAgKkIpgAAAAAAUxFMAQAAAACmIpgCAAAAAExFMAUAAAAAmIpgCsApVq5cqS5dusjX11cNGzZUu3bttGDBAhmGYXZpAIAb2LBhgzp16iQPDw+FhIRowYIFZpcE1Jl//vOfevjhhxUcHCyLxaKZM2eaXVKdmjdvnrp37y5fX181adJEPXr00KZNm0ypxdWUXgHcdvz9/fXSSy8pIiJCHh4e2rZtm5566im5uLhowoQJZpcHAKjArl279PDDD+u5557TqlWrtGPHDo0dO1aNGjXS2LFjzS4PqHX5+fmKjIzUY489pokTJ5pdTp1LSUnRH/7wB9lsNjVq1Ejvv/++Bg0apNTUVMXExNRpLQRTAE7Rr1+/Mt+HhoZq3bp12rp1K8EUAG5RCxYskM1m05w5cyRJ7dq10969ezV37lyCKe4IAwYM0IABAyRJU6ZMMbmaurdx48Yy37/xxhvatGmT1q5dW+fBlKG8AJzOMAylp6crLS1Nffr0MbscAEAl0tLSFBcXV+ZYXFycTpw4oVOnTplUFQCzlJSUKC8vT56ennXeN29MATjN+fPnFRQUpCtXrqikpEQvv/yyxo8fb3ZZAFDvnMo5o4uXLpc5VlRcbP/noWOnKj0mSe5urgppGXDTfrKzsxUQULZd6ffZ2dlq2bKl4w8B1MDps+f0y68Xyh2//me+st8Bi0UKCw6SxWKpm4KdrODyFZ388XS541V9fkkKuMtXPt7VC5izZ8/WL7/8oieffNLByh1HMAXgNN7e3srMzNTFixf19ddf64UXXlCLFi00evRos0sDgHrlwsUCLV+9scJzFy8VaNnfNtzw2CNxvaoUTIFblWEY+ujvyfbgdb3rf+av/753145qE1J//8eKu7ubtn67W0dPZld4/mbP79fYWxN+/7/V6vOdd97R7NmztX79elP+pxRDeQE4jdVqVVhYmDp06KCxY8dq8uTJmjZtmtllAUC9ExF6t7pFRzp0bbuwVrJ1iKhS28DAQOXk5JQ5lpubaz8HmKV5Mz/1621z6NqAZn56sMe9Tq6oblktFj06IFYe7m7VvtYiafigPvLwcK/yNfPnz9fzzz+v9evX64EHHqh2n85AMAVQa0pKSlRQUGB2GQBQLw2I7aq7fBtX6xrPhg30SFyvKg9fjImJUXJycpljmzZtUnBwMMN4YbqYe+9RaKsW1brGxcWqkYPvl6urSy1VVXd8G3vroQervwBR726dqjViYvr06ZoxY4Y2bNhgWiiVCKaoB1asWCGLxaKEhIQ67/v48eOyWCwKCQmp9rUJCQmyWCxasWKF0+u6Fb388sv68ssvdfToUR08eFBJSUl6/fXXFR8fb3ZpAFAvubu7afigPrJWY47cI3G95O3ZqMrtn332WaWnp2vatGk6cOCAPvzwQy1atEhTp051pGTAqawWi4YPrN5bw349bQpo5lfl9vn5+crMzFRmZqauXLminJwcZWZm6vvvv3ekZKfrHNVGUeEhVW4f6N9UD/ToUuX2EydO1Lx587Ry5UpFREQoJydHOTk5On/+vAPV1gzBFKhjmZmZeuWVV7Ru3Tqn3vfy5cuaM2eO2rdvr0aNGqlp06aKi4vT5s2bndpPZfLy8jR27FhFRUWpW7duWrJkiebMmcNG7QBQA61a+KtP9+gqte1yT3i1/gIrSTabTevWrdPnn3+ujh07avr06Zo1axZbxeCW0cTHS0P69qhS2/9zd6B62O6p1v137dql6OhoRUdHKzs7W4mJiYqOjtYTTzzhSLlOZ7FY9Ei/XvLybHjTti4uVo0Y1EeuLlV/W7xw4UIVFBRo6NChCgwMtH+ZsdUfix8BtSQwMFARERFq3LjsMKzMzEzNmDFD8fHxGjJkiFP6unjxou6//37t2LFDrq6uat++vc6dO6fk5GR98cUXWrBgQa1vGv3mm2/qzTffrNU+AOBOdP9vOuvg0R90KudMpW18G3tr8P/8xqH7Dxw4UAMHDnS0PKDWdYoM077Dx/XdwWOVtvFwd9OjA2NltVbvvVtsbKwMw6hpibXKs1EDDevfWyvWbLphu3697qvW22JJt9Sz88YUqCVz5szRgQMHNHTo0Frva/LkydqxY4fCwsJ04MAB7d69W8ePH9fy5cslSZMmTVJGRkat11FVp8+e0y95+WaXAQD1gouLVcMH9al0zpxF0qMDY9WgGgudAPWJxWLRkH495e1V+TD1wQ/8Rn6NveuwqrrVtnUrde3UrtLzoa2q/7b4VkMwBeq5nJwcvffee5KkZcuWqXXr1vZzCQkJSkhIUElJiWbOnGlWieWs27xd8977WP/ef8TsUgCgXvBv2kQDYrtWeK7nfR0Uejcr6OL25tmwgYbF9arwXFR4iLq0D6/jiuregD7d1LSJT7njHu5uenRAbLXmo9+KCKa4qeLiYq1cuVJ9+/ZVs2bN5OHhoVatWikuLk7vv/++iq/bX2rLli166KGH5O/vL3d3dwUFBWnUqFHavXv3DftYuHCh2rdvr4YNGyogIEC//e1vdexY5UM2Sp0+fVqTJ09WVFSUPD095e3tLZvNpkWLFqmwsLDGz3+tpKQkdenSRZ6envLz89PgwYMrfRNZ0eJHISEh+v3vfy9J+vDDD2WxWOxfjiywJEnr169XYWGhIiIi1LNnz3Lnx4wZI0nauHGj8vPNf0t55OSPV/fkMqTgoOZmlwMA9Ua3zlFqExJU5lhAMz/17enYlhpAfRPRulW5bZS8PBtqaL+eVV6Juj7z+O+CaNc/60MPxsj3NnhbTDDFDeXl5enBBx/U7373O23evFnu7u7q2LGjSkpK9MUXX2jMmDH69ddf7e1fffVVPfDAA/rss89ktVrVsWNHXbp0SR9//LHuu+8+rVy5slwfhmFo5MiRmjhxovbu3asWLVooKChIa9asUZcuXXTkSOVv1b755htFRkZq3rx5OnLkiIKDgxUQEKB//etfGj9+vOLi4nT58mWnfBYTJ07Uk08+qZycHEVGRqq4uFiff/65unfvrs8++6xK97DZbGrTpo0kyd/fXzExMfYvm82xv1h8++23kqQePSpeGMBms8nDw0OXL19WZmamQ30405a0q0He1rGtmvh4mVwNANQfVotFwwbEqmEDD0nXLHRyG2yLAVTV9dso/W9cL3k1uvnCQLeL4KDmiu3Wyf59VHiIOke1Ma8gJyKY4oZGjx6tr776Si1btlRKSoqysrKUnp6uU6dOKTs7W7NmzZKb29UlvJOTk/Xyyy/LarUqMTFR2dnZ2rlzp3JzczV16lQVFRVpzJgx2rdvX5k+lixZojVr1sjLy0vJyck6cuSIMjIydPLkSbVv316vv/56hbXl5ubq4Ycf1k8//aQpU6bo7Nmz2rdvnw4fPqzDhw+rW7duSklJ0YwZM2r8OWRlZSkxMVErVqzQqVOn7M81ZswYFRYWKj4+XqdPn77pfVavXq0XX3xRktS/f39t377d/rV69WqHajt06JAklRnCey1XV1e1atWqTFuzlL4tdbFay/yhCgComsbenhry330N+/a0KdC/qckVAXXr2m2U7uvYVu3Cgs0uqc79T0xnBTW/S16eDfVIv6rvW3yrY1VeVCojI0Nr1qyRq6urNm7cqPbt25c537x5c3vIkqTZs2dLkuLj4/XUU0/Zj7u5uWnOnDn65ptvlJqaqnnz5tkX5TEMQ2+88Yakq5v79u3bt8z9V61apdDQ0Arr+8tf/qIzZ87oiSee0Ny5c8ucCw0N1erVq9W2bVstXrxY06dPV4MGDRz+LIqKivT000+X2ZOzQYMGWrJkiVJTU3Xo0CEtWbJE06dPd7gPR507d06S5OvrW2mb0nOlbR2x6MO1+jX/ksPXS9KFS1evt1qtemflP2p0LwC4kzXwcFfaru+UtmuP2aUApnB3d9OBIyc1O/GvZpdiipKSEpUYJVq4/O9ml1KGt1dDjYt/xKFrCaaoVOk+mwMHDiwXSq+Xn5+vtLQ0Sap0W5Jnn31WqampSk5Oth87cOCAjh8/LldXVz355JPlrgkKCtLQoUP1ySeflDv3979f/UX84x//WGF/LVu2lM1m09atW5WRkaGYmJgbPsPNjBs3rtwxq9WqZ555RuPHj9fGjRtNCaYFBQWSJHf3yldj9PC4Ouzr0iXHg+Wv+ZeUl3/B4euvVVhUpML8IqfcCwDuVAWXr5hdAmAqfgckyTlT1m4FBFNUqnTIbffu3W/a9siRIyouLpbValW7dhUvZV0abrOzs5WXlycfHx8dPHhQktSiRYty+32WioyMLHfswoULOnr0qCRp/Pjxle5ZVTp0NSsr66bPcCNubm72uaGV1Vf6LHWt9E3wlSuV/+FcOs+2YUPH52B4e9Vs/saFS5dUXFwiN1dX+/woAAAA3D5q8vdFgikqlZeXJ0mVBsZrlS6A5OfnZ59zer3mzZuXae/j42NfJdbf37/Se197XalffvnF/u/ffPPNTeu7ePHiTdvcSNOmTSsNv6X1XbsIVF2qyjDdqgz3vRlHh2VI0tGTP+q9VZ/LxWrVpDHDWfQIAAAAZRBMUSkfn6v7JJ0/f/6mbb29ry5R/fPPP6uwsLDCcJqbm1uuvZfX1YBy5syZSu997XWlSq+Trgbo0vvVlp9++kklJSUVhtPS+mq7hsqEh4crLS2t0tWLCwsLdfLkSXtbR9VkjilzSwEAAG5/zDFFrYiKitLatWur9EaydevWcnFxUXFxsfbv368OHTqUa7Nnz9UFGgIDA+2hNyIiQtLVobalw3uvt3///nLHGjdurKCgIGVlZWnPnj1VGm5cE4WFhTp8+LC93muVDnmu6FxFnL1yWteuXbV8+XJt3769wvO7du3S5cuX5eHhoU6dOjncjzPmmDK3FAAAABUhmKJSQ4cO1WuvvaYNGzZo3759Fc71LOXl5aUePXooNTVVb731lpYtW1auzVtvvSVJiouLsx9r27atgoODdeLECSUlJWnSpEllrsnOztbatWsr7HPYsGFauHChFixY4PBWK9WRmJiot99+u8yxkpISJSYmSir7XDdSOs+zJgsRXeuhhx7SM888o4MHD2rbtm3q2bNnmfNJSUn2+q5901xdjs4ZYG4pAADAnaFGa5IYwA0MHz7ckGS0atXK2Lp1a5lzOTk5xuzZs438/HzDMAxj06ZNhiTDarUaiYmJRklJiWEYhnHlyhVj2rRphiTD3d3d2Lt3b5n7LF682JBk+Pj4GJs3b7Yfz83NNXr37m24ubkZkoz4+Pgy12VnZxv+/v6GJGP06NFGbm5umfMXL1401q9fbyQkJDj8/MeOHTMkGa6uroabm5vx0Ucf2c9dunTJGDt2rCHJaNKkiZGTk1Pm2vj4eEOSsXz58jLHd+3aZUgyQkJC7J9dTZXWERYWZnz//ff248uXLzcsFothsViMnTt3OqWv6jhyIsuYMnep8eIbSca587/Wef8AAACoHwimuKHz588bsbGxhiRDkhEUFGTYbDajZcuWhsViMSQZ586ds7efMWOGvW1AQIBhs9kMPz8/e7i7NtiVKi4uNoYOHWq/LiwszOjcubPh7u5u+Pr62kPt9cHUMAxj586dRmBgoD0Qt2vXzujWrZsRERFhuLq6GpKM5s2bO/z8pcE0ODjYmDBhQpnPwMfHx/5cn376ablrKwumxcXFRkREhCHJ8PX1Nbp162b07t3bGDFihMN15ufnGzabzV5Pp06djODgYPtnOn/+fIfvXRNL/+9nxpS5S41Pk7eZ0j8AAADqh4qXGQX+y8fHR19++aU++OADxcbG6uLFi/r3v/8tq9Wqfv366YMPPiiz6M/06dO1efNmDRo0SEVFRcrMzJSHh4dGjBih9PR0Pf744+X6sFqtWr16tRYsWKDIyEj98MMPysrK0rBhw5SRkaGwsLBK67v33nu1b98+zZw5U126dFFWVpZ27typs2fPqmvXrpo5c6a++uorp3wWb731lt577z35+/tr7969slqtGjhwoNLS0jRkyJAq38dqtWrDhg0aMWKEPDw8tHPnTqWmpurbb791uDZPT09t27ZNM2fOVHh4uA4cOKC8vDw9+OCDSk5OLjdEui4cPfmjjp78US5Wq2K7darz/gEAAFB/WAzDMMwuAsDt58iJH/WPzdsV2qqFhvTtYXY5AAAAuIURTAHUmpKSEhUWFcvDveK9bQEAAACJYAoAAAAAMBnbxeCOMXv2bG3YsKHK7desWaOAgIBarKi8Rx99VNnZ2VVqGxgYWCfb5AAAAAC1jWCKO8ahQ4eUlpZW5fYFBQW1WE3Fdu7cqRMnTlSpbXBwcC1XAwAAANQNhvICAAAAAEzFdjEAAAAAAFMRTAEAAAAApiKYAgAAAABMRTAFAAAAAJiKYAoAAAAAMBXBFAAAAABgKoIpAAAAAMBUBFMAAAAAgKkIpgAAAAAAUxFMAQAAAACmIpgCAAAAAExFMAUAAAAAmIpgCgAAAAAwFcEUAAAAAGAqgikAAAAAwFQEUwAAAACAqQimAAAAAABTEUwBAAAAAKYimAIAAAAATEUwBQAAAACYimAKAAAAADAVwRQAAAAAYCqCKQAAAADAVARTAAAAAICpCKYAAAAAAFMRTAEAAAAApiKYAgAAAABMRTAFAAAAAJiKYAoAAAAAMBXBFAAAAABgKoIpAAAAAMBUBFMAAAAAgKkIpgAAAAAAUxFMAQAAAACmIpgCAAAAAExFMAUAAAAAmOr/AVmUJ4B5yS+hAAAAAElFTkSuQmCC\n"
          },
          "metadata": {},
          "execution_count": 32
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "def get_raw_results(code, noise_model=None):\n",
        "  circuits = code.get_circuit_list()\n",
        "  raw_results = {}\n",
        "  backend = Aer.get_backend('qasm_simulator')\n",
        "  for i in range(2):\n",
        "    job = execute(circuits[i], backend, noise_model=noise_model)\n",
        "    raw_results[str(i)] = job.result().get_counts(str(i))\n",
        "  return raw_results"
      ],
      "metadata": {
        "id": "IKpmLFi7gY9I"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "raw_results = get_raw_results(code)\n",
        "for result in raw_results:\n",
        "  print(result)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "9N2BjyVGg5sY",
        "outputId": "72a5ad1d-fdb8-42e3-829f-35508bef51d7"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "0\n",
            "1\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "noise_model = get_noise(0.05, 0.05)\n",
        "raw_results = get_raw_results(code, noise_model)\n",
        "for result in raw_results:\n",
        "  print(result)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "IJxv2iG2g-QH",
        "outputId": "818d3b2b-cc22-4dc8-ee3b-68531228338e"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "0\n",
            "1\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "G57nn3pjhUtA"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Lookup table decoding"
      ],
      "metadata": {
        "id": "o8dmLlKlh-qw"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "circuits = code.get_circuit_list()\n",
        "table_results = {}\n",
        "for log in range(2):\n",
        "    job = execute( circuits[log], Aer.get_backend('qasm_simulator'), noise_model=noise_model, shots=10000 )\n",
        "    table_results[str(log)] = job.result().get_counts(str(log))\n",
        "table_results"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "oARY_kczidzt",
        "outputId": "23068c36-56fe-41b5-9cd5-91ec1225d1c0"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{'0': {'000 11': 61,\n",
              "  '001 11': 1,\n",
              "  '101 11': 1,\n",
              "  '101 00': 33,\n",
              "  '010 10': 49,\n",
              "  '110 00': 33,\n",
              "  '010 01': 218,\n",
              "  '001 01': 45,\n",
              "  '100 01': 56,\n",
              "  '110 10': 5,\n",
              "  '011 00': 45,\n",
              "  '010 00': 511,\n",
              "  '001 10': 49,\n",
              "  '000 01': 700,\n",
              "  '100 10': 58,\n",
              "  '111 00': 7,\n",
              "  '101 01': 5,\n",
              "  '001 00': 504,\n",
              "  '100 00': 509,\n",
              "  '110 11': 2,\n",
              "  '000 10': 645,\n",
              "  '011 10': 3,\n",
              "  '010 11': 23,\n",
              "  '011 01': 15,\n",
              "  '101 10': 8,\n",
              "  '000 00': 6385,\n",
              "  '110 01': 21,\n",
              "  '100 11': 5,\n",
              "  '011 11': 1,\n",
              "  '111 10': 2},\n",
              " '1': {'000 10': 2,\n",
              "  '110 10': 46,\n",
              "  '001 01': 17,\n",
              "  '010 01': 17,\n",
              "  '100 01': 24,\n",
              "  '111 01': 615,\n",
              "  '010 11': 12,\n",
              "  '101 00': 498,\n",
              "  '101 11': 146,\n",
              "  '111 00': 5872,\n",
              "  '101 01': 229,\n",
              "  '100 10': 9,\n",
              "  '011 10': 212,\n",
              "  '100 00': 45,\n",
              "  '110 11': 19,\n",
              "  '111 11': 74,\n",
              "  '110 00': 498,\n",
              "  '001 00': 40,\n",
              "  '111 10': 652,\n",
              "  '001 11': 31,\n",
              "  '000 00': 2,\n",
              "  '110 01': 196,\n",
              "  '011 01': 49,\n",
              "  '000 01': 5,\n",
              "  '001 10': 18,\n",
              "  '011 00': 501,\n",
              "  '010 00': 35,\n",
              "  '101 10': 74,\n",
              "  '011 11': 32,\n",
              "  '010 10': 18,\n",
              "  '100 11': 12}}"
            ]
          },
          "metadata": {},
          "execution_count": 48
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "p = lookuptable_decoding(raw_results, table_results)\n",
        "p"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "u1TPB6NOjAnk",
        "outputId": "bc7a86e8-d74d-46b3-ecb8-a039873cfe21"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{'0': 0.0236, '1': 0.0226}"
            ]
          },
          "metadata": {},
          "execution_count": 49
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "NMyJO1jDjeJk"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}