Risk_Analysis_Hackathon.ipynb

{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/gopalm-ai/Hackathon2022/blob/main/Risk_Analysis_Hackathon.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": {
        "id": "1meodHDHu2qx"
      },
      "outputs": [],
      "source": [
        "# Sensitivity Risk Analysis - Hackathon Project"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "!pip3 install qiskit\n",
        "!pip3 install dimod\n",
        "!pip3 install greedy\n",
        "!pip3 install numpy\n",
        "!pip3 install pylatexenc\n",
        "#!pip3 install qiskit_textbook"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "JnHjmawi5_dp",
        "outputId": "b5716fe5-843e-46d7-dbd1-c501b170f879"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
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      ]
    },
    {
      "cell_type": "code",
      "source": [
        "!git clone https://github.com/JoSQUANTUM/pygrnd.git\n",
        "#!pip3 install pygrnd"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "RnBz315r3-mE",
        "outputId": "7a06157f-6753-4306-f1fd-286b5788549f"
      },
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      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Cloning into 'pygrnd'...\n",
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    },
    {
      "cell_type": "code",
      "source": [
        "#cd pygrnd\n",
        "!pip3 install pygrnd/"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "cFq0lMnM6Wzv",
        "outputId": "ec78bc83-e365-4ba7-db30-fc7fc116f3be"
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        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n",
            "Processing ./pygrnd\n",
            "\u001b[33m  DEPRECATION: A future pip version will change local packages to be built in-place without first copying to a temporary directory. We recommend you use --use-feature=in-tree-build to test your packages with this new behavior before it becomes the default.\n",
            "   pip 21.3 will remove support for this functionality. You can find discussion regarding this at https://github.com/pypa/pip/issues/7555.\u001b[0m\n",
            "Building wheels for collected packages: pygrnd\n",
            "  Building wheel for pygrnd (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
            "  Created wheel for pygrnd: filename=pygrnd-0.1.0-py3-none-any.whl size=37571 sha256=d6ac8e98b015045b0cbe504195eae5fba3a3e5f21761bd5c387837c6bcc784ae\n",
            "  Stored in directory: /tmp/pip-ephem-wheel-cache-kwk9oygi/wheels/c6/b7/c0/b186dda1ea5b65ef883a645b27ad64a14b7eb0f729a6d523e8\n",
            "Successfully built pygrnd\n",
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            "Successfully installed pygrnd-0.1.0\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from pygrnd.qc.helper import *\n",
        "from pygrnd.qc.brm import *\n",
        "from pygrnd.qc.brm_oracle import *\n",
        "from pygrnd.qc.QAE import *\n",
        "\n",
        "from qiskit import execute\n",
        "from qiskit import Aer\n",
        "\n",
        "from math import pi\n",
        "import math\n",
        "import cmath\n",
        "import random\n",
        "from qiskit.visualization import plot_histogram\n",
        "import matplotlib.pyplot as plt\n",
        "from scipy.stats import norm\n",
        "import networkx as nx\n",
        "from IPython.display import Image"
      ],
      "metadata": {
        "id": "4HSrlI8d8sNa"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Small Example"
      ],
      "metadata": {
        "id": "sVQ25bzqN-mk"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "## small example\n",
        "\n",
        "nodes=['0','1'] # risk items defition\n",
        "edges=[('0','1')] # correlations\n",
        "\n",
        "probsNodes={'0':0.1,'1':0.1} # intrinsic probs\n",
        "probsEdges={('0','1'):0.2} # transition probs\n",
        "\n",
        "print(\"Number of risk items = \",len(nodes))\n",
        "print(\"Number of correlations = \",len(edges))"
      ],
      "metadata": {
        "id": "zyjXGl6f67vR",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "34afa17b-6500-46ee-c874-95547b265b25"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Number of risk items =  2\n",
            "Number of correlations =  1\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "rm, mat = brm(nodes, edges, probsNodes, probsEdges, model2gate=False) \n",
        "rm.draw(output='mpl')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 140
        },
        "id": "MCO78g5z97YO",
        "outputId": "7b9fea13-c884-440a-84ef-cd2dcf0d483c"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 387.452x144.48 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {},
          "execution_count": 16
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# execute function to build a qiskit gate with the risk model\n",
        "#rm, mat = brm(nodes, edges, probsNodes, probsEdges, model2gate=False) \n",
        "\n",
        "rm.measure_all()\n",
        "display(rm.draw(output='mpl'))\n",
        "print(\"-------------------------------\")\n",
        "\n",
        "backend = Aer.get_backend('qasm_simulator')\n",
        "job = execute(rm, backend,shots=100000)\n",
        "result=job.result()\n",
        "counts=job.result().get_counts()\n",
        "plot_histogram(counts,figsize=(16,8))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 680
        },
        "id": "E6rrMZzV9-iK",
        "outputId": "bd9a07af-13f0-4ac5-8986-ff2bc307afa9"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 598.479x204.68 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "-------------------------------\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 1152x576 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 17
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "## evaluate classically\n",
        "modelProbabilities(nodes,edges,probsNodes,probsEdges)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "xX6Xw84P9-lM",
        "outputId": "ee81da7e-0e86-4285-b5f6-77a6d1b4fcf0"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "([0.81, 0.08999999999999998, 0.072, 0.027999999999999987], 1.0)"
            ]
          },
          "metadata": {},
          "execution_count": 18
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "## building the graph from adjacency matrix for visual representation\n",
        "G = nx.Graph()\n",
        "G = nx.from_numpy_array(mat)\n",
        "nx.draw(G, with_labels=True, alpha=0.8, node_size=500)"
      ],
      "metadata": {
        "id": "crnI_6km9-oB",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 319
        },
        "outputId": "66316016-d470-4bbb-8f04-237c880ef4ba"
      },
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "## use Oracle to build QAE and evaluate probabaility for state 'STATELIST'\n",
        "name=\"test\"\n",
        "STATELIST=[\"11\"] # we search for the joint probability where both parameters are triggered\n",
        "Nshots=1000 # number of shots\n",
        "QAEqubits=4 # QAE bit precision --> 8 bit strings at the end of the measurement to differentiate 2^8 = 265 bins\n",
        "\n",
        "\n",
        "#rm = BRMlist(RIlist,TPlist,model2gate=True)\n",
        "rm, mat = brm(nodes, edges, probsNodes, probsEdges, model2gate=True) \n",
        "ora = brmoracle(\"ora\",rm,len(nodes),0,STATELIST)\n",
        "QAE=qae(QAEqubits,len(nodes),len(nodes),rm,ora)\n"
      ],
      "metadata": {
        "id": "nIUFoxxp9-qm"
      },
      "execution_count": 20,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "## execution with local quantum simulator (qasm simulator)"
      ],
      "metadata": {
        "id": "a_YVRnVN9-td"
      },
      "execution_count": 21,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "backend = Aer.get_backend('qasm_simulator')\n",
        "job = execute(QAE, backend,shots=Nshots)\n",
        "result=job.result()\n",
        "counts=job.result().get_counts()\n",
        "plot_histogram(counts,figsize=(16,8))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 511
        },
        "id": "9S0RLSI2_PEM",
        "outputId": "7b59a152-9a65-4978-f7ce-6bbc45482925"
      },
      "execution_count": 22,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 1152x576 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 22
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Larger Example"
      ],
      "metadata": {
        "id": "SzuW3MS6N6sm"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "## large example\n",
        "\n",
        "nodes=['0','1','2','3','4','5'] # risk items defition\n",
        "edges=[('0','1'),('0','2'),('1','2'),('1','3'),('1','4'),('2','3'),('2','4'),('2','5'),('3','4'),('3','5'),('4','5')] # risk items correlations\n",
        "\n",
        "probsNodes={'0':0.1,'1':0.2,'2':0.2,'3':0.3,'4':0.1,'5':0.1} # intrinsic probs\n",
        "probsEdges={('0','1'):0.2, ('0','2'):0.3, ('1','2'):0.2, ('1','3'):0.3, ('1','4'):0.2, ('2','3'):0.3, ('2','4'):0.2, ('2','5'):0.3, ('3','4'):0.2, ('3','5'):0.5} # transition probs\n",
        "\n",
        "print(\"Number of risk items = \", len(nodes))\n",
        "print(\"Number of correlations = \", len(edges))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "7VnztBVp_PHR",
        "outputId": "a40abddc-ed2a-4ab6-c3bf-5011dbc385af"
      },
      "execution_count": 24,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Number of risk items =  6\n",
            "Number of correlations =  11\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "rm, mat = brm(nodes, edges, probsNodes, probsEdges, model2gate=False) \n",
        "rm.draw(output='mpl')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 997
        },
        "id": "RaIqTyBd_PKg",
        "outputId": "e1388e08-8ba3-467c-d7f5-16a8bef87170"
      },
      "execution_count": 25,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "NOTE: Item 2 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 3 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 4 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 5 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 1591.6x806.68 with 1 Axes>"
            ],
            "image/png": 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AAACwNBpgAAAAAAAAsLQQfwcAgMudyzupBa/fqRBbmIpLHJqQkCx7t2H+joUGgNoDAAAArCmgvwFWWlqqpUuXqlu3bgoPD1efPn2Unp6u7t27a/Lkyf6OB6CGbLZQOUtLrhh3ukoUYgtVk6gYLZuyS88lpemJcRv16rY5fkgJK6L2AAAAgIYpoL8BNnHiRG3ZskXz589XfHy8du/erbFjx+r06dOaNWuWv+MBqKFWzTrpxzOHPcYcRfk6l3dCrX/RRbZgm3s835GjLq1713dEWBS1BwAAADRMAdsA27hxo9avX6+0tDQNGjRIkjRkyBDt27dPW7Zskd1u93NCADU18ubfauXWGbql+2jFdfqlCgpzteafs9WpVS91bXOTJCn77Pd6ZuN4HT99ULPvXufnxLAKag8AAABomAK2AZacnKzRo0e7m18XdO3aVaGhoerd2/P/yq9Zs0YPP/ywNm/erLvuuqs+owKopmH2cSoqKdBL/5iqkzlHFREWrd5dBmnRg+/IZivfllo376znp36k7J++0+Orh6p/3O1+Tg0roPYAAACAhikgG2DHjx/XgQMHNHPmzCuOZWVlqWfPnmrUqJF77NChQ1q3bp369+9f5Wukp6dLkoKCgmofuAIfPFvm82vUNRMzS2bmNjGzJC19ZKf6XDe41udJ7DdJif0meT1W7CxSWEj5ZzwyvIkiwqJrfb309DTdMnZIrc9jBabW3qVqU4f1VXu+rjlT30cTc5uY2ZdYD0+sBwAA/lNWVlbluQHbAJOkVq1aeYw7HA6lp6crISHBPeZ0OvXggw9q5cqVmjFjRr3mBOAbmcc+1Wvbn1BwsE1OV4mSfvWCvyOhgaD2AAAAAGsKyAZYTEyMJCkzM1OJiYnu8SVLlig7O1vx8fHusUWLFikhIUE33nhjta5x4dbKtLS02geuwI6l5X9WpyPpbyZmlszMbWJmScrYJOUc9+01bug8UMumfFin5xw0aLDKVpq11r5iau1dyld1WJe15+uaM/V9NDG3iZl9ifXwxHoAAGCGgGyAdenSRb1791ZycrKaN2+utm3b6q233tK2bdskyd0A27t3r1JTU33axAIAAAAAAIDZgv0dwJvg4GBt3rxZPXv2VFJSkiZMmKCYmBhNnTpVNpvN/QD8nTt36ttvv9V1112nTp06ac+ePZoyZYqee+45P/8EAAAAAAAACBQB+Q0wSYqNjdXOnTs9xsaPH6+4uDhFRERIkubMmaM5c+a4jw8ePFiPPvoovwUSAAAAAAAAbgH5DbCKZGRkeDz/C4B/rdw6UzNX3Kblb0+/4lhuwVkteuNuPb5qqDakPOUeLypx6O6FrbQvc0elY5fbfzhVj700QLNXDdHpSh7+lLJvg6a//Es9+drtOl+YW8OfDKY48/OPSnrersS54XK5nFcc35DylO5Z1Ebr3nvSPfb8Ww9r+su3asbygfrux/9UeO7vTxzQjOUDNf3lWyudV9XaBAAAAOA/xjTA8vPzlZmZKbvdXuGctLQ0vv0F1JNDx/fJUZSvP0/ZJaezWAePfepx/I0PFuqBUX/Us4+katywee7x7XvXqnPrXh5zvY1dbsOORVo86X1NTFysjalPe53jdJXon3tWaVnShxpuH69396yu4U8HUzSJbK4lk1PUo0N/r8cT+z6kuWM3eIzdM3SOXnj0Y82+e53e+GBhhed+/b35emLcRs0f/zet/9f8CudVpTYBAAAA+JcxDbDo6Gi5XC5NmzbN31EASPo6a4/iY0dIkuzdhuuro//2OH7kxAFtTEnW7FVD9NWR8mMlzmJ9nbVHPTvd6p7nbexyhcUFCguNUGR4Y/Xo0E9HT37pdd4PZw6pc6testlCvGaC9YSFhqtxZLMKjzdr3FJBQUEeY62bd5YkhdhCFRxsq/C1eY5zanFNe8U0bav8whyvc6pamwAAAAD8y5gGGIDAku/IUWSjJpKkqPCmynd4Ngi+OrJbY4bO1bxxm7Tm3cclSe9nrNcw+30e87yNebtW1H+vJUmlZa6KM4VfzHTe4b1pAUjSq9vn6s6Bj1V4vKys9NK/eJ1T1doEAAAA4F80wADUSFR4UxUUlT9j63xRrqIjrvE43u7aWHVs2UPNGrdUcFCwXC6nMg7+S32vT3DP8Tbm9VoRTXW+6OLzvIKDvH9rJyq8qQoKL2aKuiwTcMGWXc+rY4s43dB5YMWTLvnmWFCQ9/9cVrU2AQAAAPgXDTAANRLXcYD2H0qRJO0/tOOKZzC1vTZWP+Vmy1F8Xq5Sp87ln9SpnCzNfWW0Uva9qVe3z/U6lldwTufyT8npKnGfKyIsSsUlDjmK8vVN1ifq2DJOknTm5x88rtnu2lgdOXFArlKX10yAJGUcfF9fHtmtccMvPhg/t+CsikocHvOaRDTX6ZzjOvPzj+5vFla1NgEAAAAElhB/BwBgpm7t7AoNDdfMFbfpujY36voOfXU294S2f/qqxg2bpwdGLlTyhrEqLnHovhH/q5imbbV8evmD8v/y/gLd0Gmg17HGkc20+K/36aH/eUYxTdu6r3fv0Hn6w5oRCgsN1+/veV2S9Mym+/XMpA8UHFzeyw+xhSqh3yTNWnGboiOa6Yl7/1rPq4L65nSV6Im1Cfou+3PNWTtKDyYkq+U1Hd11uP2TV/XO7hXKKzirvIJzeuw3y7X87WmKbNREs1cNUftru2vGXav19w+X6ZbuCbqh88Vn0d0/cqH+9OY9kqRpdy6XJK3eOqtKtQkAAAAgsNAAA1BjU3/1gsffmzdp5f6Njx1bxum5pDSvr7t/5IJKxyLDm3g0GCTJHjtc9tjh7r+XlpaqY8s4d/PrghHx4zUifnw1fgqYLMQWqiUP77hi/EIdJvSdqIS+Ez2Orfv9wSvmny/8WXEdB3iMdWnTWy88+rHHWFVqEwAAAEDgoQEGIOA89psVV50THBysR3/9Uj2kQUNQ1VqqSm0CAAAACDw8AwwAAAAAAACWxjfAAFRL4xb+TlAzpuaGdya8nyZkBAAAABoKGmAAqqX7UH8nAKhDAAAAANXDLZAAAAAAAACwNBpgAAAAAAAAsDQaYAAAAAAAALA0GmAAAAAAAACwNBpgAAAAAAAAsDQaYAAAAAAAALA0GmAAAAAAAACwNBpgAAAAAAAAsDQaYAAAAAAAALA0GmAAAAAAAACwNBpgAAAAAAAAsDQaYAAAAAAAALA0GmAAAAAAAACwtKCysrIyf4fwh8GDB0uS0tLSKp13MFXKO1Wza+QcL//zmnY1e33jFlL3oTV7bU1zm5hZMjO3PzPDDLX5TFSmtrV3NdRm1TW0fU+qXW4TM0v++Uz4av+QzN9D6nptfLEe7KMAANS9EH8HCHR5py7+w6amavv6mqhtbhMzS2bm9kdmmKEuPhOVofb8r6Hue1L95zYxc234ev+QzFqPS/lqbUxdDwAAGgpugQQAAAAAAICl0QADAAAAAACApdEAAwAAAAAAgKXRAKsj9yV30o7P3qzyeCAwMbNkZm4TM8MaqD1rMPF9NDGzZG5uX2E9PLEeAACYiwYYAAAAAAAALI0GGAAAAAAAACyNBhgAAAAAAAAsLcTfARqKc3knteD1OxViC1NxiUMTEpJl7zbM37EqZWJmyczcJmaGNVB71mDi+2hiZsnc3L7CenhiPQAACFwB3QArLS3VsmXLtHr1ah07dkzdu3fXiy++qMmTJ2vQoEFas2aNvyO62WyhcpaWXDHudJUoxBaqJlExWjZll2zBNmX/9J3+9OY9sk//1A9JLzIxs2RmbhMzwxqoPWsw8X00MbNkbm5fYT08sR4AAJgroBtgEydO1JYtWzR//nzFx8dr9+7dGjt2rE6fPq1Zs2b5O56HVs066cczhz3GHEX5Opd3Qq1/0UW2YJt7PN+Roy6te9d3xCuYmFkyM7eJmWEN1J41mPg+mphZMje3r7AenlgPAADMFbDPANu4caPWr1+vrVu3avbs2RoyZIjmzZunAQMGyOl0ym63+zuih5E3/1bb9q7RF9/tkqvUpbyCc1rx9nR1atVLXdvcJEnKPvu9ZiwfqLlrR+nWG+70c2IzM0tm5jYxM6yB2rMGE99HEzNL5ub2FdbDE+sBAIC5AvYbYMnJyRo9erQGDRrkMd61a1eFhoaqd+/y/6M2ePBgHT16VE2bNpUkjR49WosXL673vMPs41RUUqCX/jFVJ3OOKiIsWr27DNKiB9+RzVa+zK2bd9bzUz9S9k/f6fHVQ9U/7vZ6z2l6ZsnM3CZmhjVQe9Zg4vtoYmbJ3Ny+wnp4Yj0AADBXQDbAjh8/rgMHDmjmzJlXHMvKylLPnj3VqFEj99izzz6ru+66qz4jepXYb5IS+03yeqzYWaSwkPLMkeFNFBEWXZ/RKmRiZsnM3CZmhjVQe9Zg4vtoYmbJ3Ny+wnp4Yj0AADBTwDbAJKlVq1Ye4w6HQ+np6UpISKj1NdLT0yVJQUFBlc5b+shO9blucK2vl3nsU722/QkFB9vkdJUo6VcvVCFjmm4ZO6RG16uL3CZmlszMXd+ZYYa6+kxUpia1dzXUZtWx75mVWTJnv66P/UMycw/x5drU1XqwjwIAUDVlZWVVnhuQDbCYmBhJUmZmphITE93jS5YsUXZ2tuLj4z3mz5s3TwsXLlSXLl20aNEi9+2RgeSGzgO1bMqH/o5RLSZmlszMbWJmWAO1Zw0mvo8mZpbMze0rrIcn1gMAgMAVVFaddlk9KS0t1U033aTs7GwtXbpUbdu21VtvvaVt27YpKytLe/bsUb9+/SSV3xLZvn17BQUFadOmTZo5c6YOHz6sqKioOsmSsUnKOV4np6q2a9pJN4+p2Wv9ldvEzJKZuWuTGWbw52eiNqjNqmPfqx4TM0v++UyYun9Ivl8vE9aGfRQAgLoXkL8FMjg4WJs3b1bPnj2VlJSkCRMmKCYmRlOnTpXNZvP4hleHDh3ctzGOGTNGYWFhOnjwoL+iAwAAAAAAIMAE5C2QkhQbG6udO3d6jI0fP15xcXGKiIiQJBUWFio/P999y2RKSory8vLUtWvXes8LAAAAAACAwBSQ3wCrSEZGhsfzv3JzczVq1Cj16tVLffr00YIFC7R161Y1adLEpzlWbp2pmStu0/K3p1c4x+VyavHG8ZqxfKA2pS6ucF5BYZ7mv3aHpr98qz7I+Isv4koyM7NkZm4TMyPwVVZXuQVnteiNu/X4qqHakPKUe7yoxKG7F7bSvswdlY5dbv/hVD320gDNXjVEpyu5Tyhl3wZNf/mXevK123W+MLeGPxkuZ+IeYmJmydzcNcEe4t2Zn39U0vN2Jc4Nl8vlvOL48rena9bKQZr2Yj8d+P5jSdKGlKd0z6I2Wvfek5We26R1AACgITCmAZafn6/MzEzZ7Xb3WIsWLfTZZ5/piy++0Oeff65du3Zp4MCBPs1x6Pg+OYry9ecpu+R0FuvgsU+9ztv91Va1b3G9np/6kQ4c+Uhnc094nbdt7ysafOMYLZvyobZ/slYlzmIyG5zbxMwIfFerqzc+WKgHRv1Rzz6SqnHD5rnHt+9dq86te3nM9TZ2uQ07FmnxpPc1MXGxNqY+7XWO01Wif+5ZpWVJH2q4fbze3bO6hj8dLmXiHmJiZpNz1wR7SMWaRDbXkskp6tGhv9fjD9++VMuS0vXk+L9pY2qyJCmx70OaO3bDVc9t0joAANAQGNMAi46Olsvl0rRp0/ya4+usPYqPHSFJsncbrq+O/tvrvG+O7lF8t/J5fa4bom+OfVLh+eyxI2QLtqlLmz46duobMhuc28TMCHxXq6sjJw5oY0qyZq8aoq+OlB8rcRbr66w96tnpVvc8b2OXKywuUFhohCLDG6tHh346evJLr/N+OHNInVv1ks0WUmmto3pM3ENMzGxy7ppgD6lYWGi4Gkc2q/B4iC1UkuQoyleXNn0kSc0at3Q/f7Yipq0DAAANgTENsECR78hRZKPyWyyjwpsq35HjfV5hjiLDL847X9E8R46iLj1fofd5DS3zheuYltvEzAh8V6urr47s1pihczVv3CatefdxSdL7Ges1zH6fxzxvY96udaHmJKm0zFVxpirUMKrHxD3ExMwXrmNi7ppgD6mdBevv1JxXRsrebXiVX2PFdQAAwHQ0wKopKrypCorKn89wvihX0RHXVDzvv89xKCjMVVRF8yKa6nzRxXnR4d7nNbTM7jyG5TYxMwLf1eqq3bWx6tiyh5o1bqngoGC5XE5lHPyX+l6f4J7jbczrtS6pOUkKDrJVnKnwYqaKahjVY+IeYmJmdx4Dc9cEe0jtLPjtP/TStL16bfsTVX6NFdcBAADT0QCrpriOA7T/UIokaf+hHerRob9cLqfO5Z30mNej4wDtP1w+7/Nvd6p7+1tUVOJQbsFZz/N1KD+fq9Slb3/8P7VvcT2ZDc5tYmYEPm91dam218bqp9xsOYrPy1Xq1Ln8kzqVk6W5r4xWyr439er2uV7H8grO6Vz+KTldJe5zRYRFqbjEIUdRvr7J+kQdW8ZJks78/IPHNdtdG6sjJw7IVerymgk1Y+IeYmJmk3PXBHtIzRU7iyRJEY2iFR4WVeE8q68DAABWQAOsmrq1sys0NFwzV9ym4GCbru/QVyfOHbniNwENiLtDR04c0IzlA9Wj4wD9oklrffn9x3rn3ys95iX0e0ip+zdo1orbNOqWBxUaEkZmg3ObmBmBz1tdnc094f5tbQ+MXKjkDWP1+1VDde+wJxXTtK2WT/9UT096T8Ps92liwtNexxpHNtPqrbOUk3/K43r3Dp2nP6wZobXb/qAxQ+ZIkp7ZdL9KS0vdc0JsoUroN0mzVtym9zNe1+39H66/BbEwE/cQEzObnLsm2EMq5nSV6Perh+u77M81Z+0ofZ2112NtnnrzHv1u5WDNX3eHHhi5UJK0/ZNXtfqd3yl13wa9uGWqJBm/DgAANARBZWVlZf4OEcgyNkmV/OZqSdKu//xd0ZHNdFPXoZXO+/uHf1b/uDvUNqZrla59TTvp5jFVTerparlNzCyZmTsQM8MMVflM1NaLW6bosd+sqHROaWmpVmydrkd//VKVzkltVh37XuBklgIzd03Vx/4hmbmH+GJt6nod2EcBAKh7NMCuor7+AemNr/+h7wsmZpbMzM0/jq3Pn5+J2qA2q459r3pMzCxZuwHmCyY2wOoa+ygAAHWPWyABAAAAAABgaSH+DhDoGrcw89r+ym1i5tpe28S1hhlMfY9Nze0P7Hv1d11T19qka9YVX2c3YW1MyAgAgGm4BRIAAAAAAACWxi2QAAAAAAAAsDQaYAAAAAAAALA0GmAAAAAAAACwNBpgAAAAAAAAsDQaYAAAAAAAALA0GmAAAAAAAACwNBpgAAAAAAAAsDQaYAAAAAAAALA0GmAAAAAAAACwNBpgAAAAAAAAsDQaYAAAAAAAALA0GmAAAAAAAACwNBpgAAAAAAAAsDQaYAAAAAAAALA0GmAAAAAAAACwNBpgAAAAAAAAsDQaYAAAAAAAALA0GmAAAAAAAACwtP8HJjmbYbYonIMAAAAASUVORK5CYII=\n"
          },
          "metadata": {},
          "execution_count": 25
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# execute function to build a qiskit gate with the risk model\n",
        "#rm, mat = brm(nodes, edges, probsNodes, probsEdges, model2gate=False) \n",
        "\n",
        "rm.measure_all()\n",
        "display(rm.draw(output='mpl'))\n",
        "print(\"-------------------------------\")\n",
        "\n",
        "backend = Aer.get_backend('qasm_simulator')\n",
        "job = execute(rm, backend,shots=100000)\n",
        "result=job.result()\n",
        "counts=job.result().get_counts()\n",
        "plot_histogram(counts,figsize=(16,8))"
      ],
      "metadata": {
        "id": "v_6D2LoE991Y",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "1fa7b6cf-e8a3-4d0a-e5e5-7e5ade5f68e6"
      },
      "execution_count": 26,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1621.88x927.08 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "-------------------------------\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 1152x576 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 26
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "## building the graph from adjacency matrix for visual representation\n",
        "G = nx.Graph()\n",
        "G = nx.from_numpy_array(mat)\n",
        "nx.draw(G, with_labels=True, alpha=0.8, node_size=500)"
      ],
      "metadata": {
        "id": "rERzrEyX996k",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 319
        },
        "outputId": "0b2299c3-aff4-4d58-e8b9-692a271319d4"
      },
      "execution_count": 28,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "## use Oracle to build QAE and evaluate probabaility for state 'STATELIST'\n",
        "name = \"test\"\n",
        "STATELIST = [\"111111\"] # we search for the joint probability where all 6 parameters are triggered\n",
        "Nshots = 100000 # number of shots\n",
        "QAEqubits = 8 # QAE bit precision --> 8 bit strings at the end of the measurement to differentiate 2^8 = 265 bins\n",
        "\n",
        "\n",
        "#rm = BRMlist(RIlist,TPlist,model2gate=True)\n",
        "rm, mat = brm(nodes, edges, probsNodes, probsEdges, model2gate=True) \n",
        "ora = brmoracle(\"ora\",rm,len(nodes),0,STATELIST)\n",
        "QAE=qae(QAEqubits,len(nodes),len(nodes),rm,ora)"
      ],
      "metadata": {
        "id": "I6snOMVZ999e",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "f78e6245-484d-4b82-f2eb-643b32e3b5d8"
      },
      "execution_count": 29,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "NOTE: Item 2 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 3 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 4 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 5 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "## execution with local quantum simulator (qasm simulator)"
      ],
      "metadata": {
        "id": "LV9AZICL9-Am"
      },
      "execution_count": 30,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "backend = Aer.get_backend('qasm_simulator')\n",
        "job = execute(QAE, backend,shots=Nshots)\n",
        "result=job.result()\n",
        "counts=job.result().get_counts()\n",
        "plot_histogram(counts,figsize=(16,8))"
      ],
      "metadata": {
        "id": "tHtZ9Jct7Fk1",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 544
        },
        "outputId": "322ec32e-4ba9-45b3-85ff-57bb6cdc7d34"
      },
      "execution_count": 31,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 1152x576 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {},
          "execution_count": 31
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plot_histogram(counts,figsize=(50,30))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 832
        },
        "id": "vLim1948JiGW",
        "outputId": "c226de2d-152e-4899-f149-1b20e690115c"
      },
      "execution_count": 32,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 3600x2160 with 1 Axes>"
            ],
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tLS184hOf4KCDDmLJkiXMnj2bI444gjlz5rSxK6yaDLDHHnvw8MMP45zj6aefZq+99mozB+ntt98G4P3vfz8777wzNTU1TJkyhTvuuIOJEye2zp166aWXgE1zp/bcc08+97nPcc011zBgwADGjh3LlClTGDNmTJu5U48++ihLn/whLy95hJ9+fT9++vX9WLno/kiRFCL/aMKyEKKVYWMmMeXzLzD1C8vY/6hLAbjsssta7xbq06cPs2fPZunSpTz77LOsWrWK5cuXs27dOv7+97/zm9/8hsWLF3PssccCcPrpp/PJT36Sq666igkTJnDCCSfw4Q9/mMMOO4ynnnqqzV1Fa9asob6+nunTpzN27FiGDh3K6tWrW+9kKlC4YwlofdRCr169Wh/dUNwJSdPS0sKMGTOYN2/eFic4h9gWiDUZOnTitCZaCyGEEEIIIYQQQgghhBBCCCGEEELkk0qcXxLLd8j8nAULFjB48GD23nvv1nlCzc3Nmz3lvTDXqK6ujubmZgYOHMjq1atZuXLlZnOQBgwYwMqVKwHYsGEDAEuXLuVzn/sc48aNA2zuVI8ePairq6NPnz7ccccdNDQ08NWvfpXzzjuv1d+ll17KsmXL2sydet/73sfZ33Kc+NlnOeEzf+CEz/yBYWMmbTF+QlQrmrAshAjmnGvh3Btq2fvIG9hv4tEM3m00PevbX5H505/+NH/84x9bOyD19fU0NDS0uasI4IknnuCHP/whjzzyCKtWreKwww7jL3/5S7s6mpub2XXXXVvfpyczl2LBggU0NDQwcuTILU5wDrGFeJOhQydOh9rnpbOaFx0xfWsiuRBCCCGEEEIIIYQQQgghhBBCVD8xx4bzMp5dib7zoqMS55fE9B0yP6e5uZnBgwe3vq+vr+ef//xnuzomTJjAkiVLWL9+PevWrWPJkiWtk5ALHHDAAdx2220AzJs3j379+pEkCY2NjTQ1NbVZjPHAAw/EOcf06dMZPXo0F110Ubu/LYQojSYsCyHKJuuKzPfccw/jxo1j5MiRAKxatYqPfvSjbe4qqqurY9ddd219BEP//v354x//yCGHHNJ6J1Phu3V1dWXp7Wi15q2xhXiToUMnTofY56WzmhcdeWojVOYfVnnREdN3XnTE9J0XHTF950VHTN950RHTd150xPSdFx0xfedFR0zfedER03dedMT0nRcdMX3nRUdM33nREdN3XnTE9J0XHTF950VHTN/S0XW+86Ijpu+86IjpOy86YvrOi46YvvOiI6bvvOiI6TsvOmL6zouOmL7zoiOm77zoiOk7Lzpi+s6Ljpi+86Ijpu+86IjpOy86YvoOsY25yFhexrMr0XdedEBlzi+J6Tt0fk7fvn3bzCN66623NptHVFdXx8qVK6mtreW6666jubmZQw89lHHjxuGca12McdWqVZx66qmsXr2ahoYGvve977HLLrsAMHbsWKZMmdJmMcaamhoeffRRfvjDH/KDHz/CTnX7sVPdfhzzifs559p2JQsh0jjnttnX+PHjndg2OftbpV9ba9sdvvOioyPfZ12z3vXfcYSb+oUX3ZlfX+t23G1f99xzz7Wxu+GGG9wnP/lJ55xzd955pzvppJOcc84999xzbt9993XvvPOOe/HFF92IESPchg0bnHPOPfbYY+7QQw91Y8eOdc45d8UVV7grrriiXd2zZ89206dPb33/gx/8wM2YMWOrbWP6jqnjsccecx/60Ida328pfiH2sWwr1Xeojg0bNriRI0e6ZcuWubVr17p9993XPf/881ttG9N3XnSojdWhQ22sDh1qY3XoUBurQ4faWB061Mbq0KE2VocOtVE6KsV3XnSojdWhQ22sDh1qY3XoUBurQ4faWB061Mbq0KE2VoeOPLUxZGw4pu9KHFeP6TsvOpyrzPklefH92GOPuSOPPNKNGDHCvfjii+6yyy5zQ4cO7ZQ5SM45t3z58tY5SB2xrcz3itVGUf0AT7p25uxqhWUhRHR61NRyyIk3MO+7R3P3rNGM2G8KY8eObb1jCWD69Omtdyx985vfbL1zsL07lgCuvfZaHnvsMf785z9TV1fHTTfd1Lq6cykKd1AV6Gi15hDbSiX0LrVYK1TnRUdM33lZsTum77zoUBurQ4faWB061Mbq0KE2VocOtbE6dKiN1aFDbawOHWqjdFSK77zoUBurQ4faWB061Mbq0KE2VocOtbE6dKiN1aFDbawOHXlqY8jYcEzflTiuHtN3XnSIzQmZnzNhwgSWLVvGF77wBT70oQ9x+eWXc9JJJ3XKHKSTTz6Zgw8+mMWLF1NfX88tt9wSueVCbJtowrIQoksYNmYSUz7/AlO/sIz9j7oUgMsuu6x1gnGfPn2YPXs2S5cuZcGCBYwcObL1u5deeinLli1j8eLFHHvssa3b77rrLubOncvIkSPp06cPn/rUpxg7dmy7GiZMmMCSJUtYvnw569ato6mpqd0JziG2EG8ydOjE6W1hovW2QCX+YZUXHTF950VHTN950RHTd150xPSdFx0xfedFR0zfedER03dedMT0nRcdMX3nRUdM33nREdN3XnTE9J0XHTF950VHTN950RHTd150xPQtHV3nOy86YvrOi46YvvOiI6bvvOiI6TsvOmL6zouOmL7zoiOm77zoiOk7Lzpi+s6Ljpi+86Ijpu+86IjpOy86YvrOi46YvvOiI6bvUB0hxPQt8kslzi+J6Ttkfk5tbS033HADs2bNYuPGjcycOZPrr78e2Po5SNtPvJPjLvkrZ3x9PcdevIrH35zOOde220QhRJnUdrcAIYTYGiZNmsSkSZMy2RY6LkcffTQtLS2cddZZ7U5wDrGFth2ouro6mpqauOOOO7rUNtQ+L53VvOiI6VsTyYUQQgghhBBCCCGEEEIIIYQQovqJOTacl/HsSvSdFx1QmfNLYvoOnZ+TdZ5Qe5ONb75gi18VQkREE5aFELmiVIehvc5COZ2LkAnOeZgMHdoxC7HPS2c1Lzry1MZK/MMqLzpi+s6Ljpi+86Ijpu+86IjpOy86YvrOi46YvvOiI6bvvOiI6TsvOmL6zouOmL7zoiOm77zoiOk7Lzpi+s6Ljpi+86Ijpu+86IjpWzq6zndedMT0nRcdMX3nRUdM33nREdN3XnTE9J0XHTF950VHTN950RHTd150xPSdFx0xfedFR0zfedER03dedMT0nRcdMX3nRUdM36E6Yi4ylpfx7Er0nRcdUJnzS2L6hrD5OUKICsc516Uv4DxgOfAO8BRw6BbsP+Dt3gFeBD61tT4Lr/HjxzuxbXL2t0q/tta2O3znRce23MZK5r777nN77bWXGzlypLv88ss71T6WbaX6DrFdv369GzFihHvxxRfd2rVr3b777uuee+65rbaN6TsvOtTG6tChNlaHDrWxOnSojdWhQ22sDh1qY3XoUBurQ4faKB2V4jsvOtTG6tChNlaHDrWxOnSojdWhQ22sDh1qY3XoUBurQ0ee2uhc9rHhmL5j2laq77zoEG2pxHlC28JcqJhtFNUP8KRrZ85ul66wnCTJVOA6P8H4t/7feUmSjHHOvVTCfgRwP/B94FTgfcBNSZK84pz7STk+hRCiswld6TlkFemYOiD8LrVYK1TnRUdM33lYsTum77zoUBurQ4faWB061Mbq0KE2VocOtbE6dKiN1aFDbawOHWqjdFSK77zoUBurQ4faWB061Mbq0KE2VocOtbE6dKiN1aFDbawOHXlqI2QfG47pO6ZtpfrOi45KJGQ+SjlzV4QQ2w6JTWjuoh9Lkt8DzzrnzkltWwLc7Zz7rxL2VwEnOOf2Sm37HjDWOXdwOT7THHDAAe7JJ5/c2maJCiTmibSrfedFR0zfedER03dedMT03R06QlCnWQghhBBCCCGEEEIIIYQQQgghhOg8KnE+gOZedL/vvOiI6TsvOmL61nybbZckSZ5yzh1Q8rOumrCcJEkv4G3gZOfc7NT2G4F3Oec+UOI7vwb+6Jybkdp2EnAH0BdIyvD5CeAT/u0oYHEnNE9UNoOBVyPYxvSdFx0xfedFR0zfedER03dedMT0nRcdMX3nRUdM33nREdN3XnTE9J0XHTF950VHTN950RHTd150xPSdFx0xfedFR0zfedER03dedMT0nRcdMX3nRUdM33nREdN3XnTE9J0XHTF950VHTN950RHTd150xPSdFx0xfedFR0zfedER03dedMT0nRcdMX3nRUdM33nREdN3XnTE9J0XHTF950VHTN950RHTd150xPSdFx0xfedFR0zfedER03dedMT0nRcdMX3nRUdM33nREdN3XnSUYy+qj+HOuSElP3HOdckL2A1wwPuLts8EFrfznReAmUXb3u/97FqOT730Kn4BT8awjek7LzrUxurQoTZWhw61sTp0qI3VoUNtrA4damN16FAbq0OH2lgdOtTG6tChNlaHDrWxOnSojdWhQ22sDh1qY3XoUBurQ4faWB061Mbq0KE2VocOtbE6dKiN1aFDbawOHWqjXno5eiCEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBCRqO3C33oVaAF2Kdq+C/C3dr7zt3bsN3h/SRk+hRBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQXUSXrbDsnFsHPAUcVfTRUcBj7Xztd+3YP+mcW1+mTyGK+Z9ItjF950VHTN950RHTd150xPSdFx0xfedFR0zfedER03dedMT0nRcdMX3nRUdM33nREdN3XnTE9J0XHTF950VHTN950RHTd150xPSdFx0xfedFR0zfedER03dedMT0nRcdMX3nRUdM33nREdN3XnTE9J0XHTF950VHTN950RHTd150xPSdFx0xfedFR0zfedER03dedMT0PqE1sgAAIABJREFUnRcdMX3nRUdM33nREdN3XnTE9J0XHTF950VHTN950RHTd150xPSdFx0xfedFR0zfedER03dedMT0nRcd5diLbYjEOdd1P5YkU4EfAucBjwKfAqYDY51zf0mS5AcAzrmPe/sRwHPAzcB3gfcCNwEnO+d+ksVnlzVOCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgixGbVd+WPOubuSJNkJ+AKwKzYZeVJqYvHuRfbLkySZBHwLOBd4GfiPwmTljD6FEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBDdRJeusCyEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhNi26NHdAoQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEENWLJiwLIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGioQnLQrRDkiRJ4d/C/zvZb6cff5F994joO4ruyJqj+45BJeZIBce6onVH8NtpdbQ935WU113lO5bfStLcBb5j5nbUuhqDSo91JN9RdMeMR0xUs0v7rTQq8Zjxvqt+P0asOblp47ZAhfbJqz5HQuOXl3N1XnQIIYQQQuQJ9ZGEEKJyUM0W1Yjyuuuo1Fh3xfyKSvErqo/EOdfdGoTILUmS9HDObSzalriiA6eU3Rb89nTOrS9XQ2f4DvXrv7Odc+5fSZLUOOdaOrDr8PN2vhNFd1bN3jZId2Tf/YF3gAHAa+19N0+x9t+JkiN5iHVM3WXux5g50um+kySpBQYB/YFewHLn3LoQXVvwH7OuxtyPFZcjFXw8xopH7NyOVVe7Pdahvrsg1hWVIzHjkSTJ9sDOQD2wAVjonPtXZ/j2/iuuLxLTd8RjJlSH6mpbu0rdjzFrQ7RzRyxi1rOY+9F/pxL75LGOg7zsx6D4hdhHbmPU/R6gI2r/IvU7wf2H7vQb23dedOSljXmk1LXm7vIdU0u1sy3ELnKuVmSNyNPxmwcq9TyS2I13rrPiXan53BVUYl5DPN2qq5tTiXU1cn2qyByppJrdFVRiXnvfFZfbyuuSvisuRyo41hWrO4bvjvxWap9QdC6asCxECZIkGQR8CBgP7Ak8DNzvnPvLFr7XYTFPkmQ34CPAUcCuwC+BnwNPOefe8jYli/OWCrr3F+w7y4kiSZK9gMnACdjA4++AR4DHnXMvdOC7xvtu98RcbkwyxKOhHM1ZdJcbj4y+3wOcBkwDaoAngQX+N37vnHuznXjUAhu7I9YxcySPsfbf7TDekY+ZmDkSxXeSJAcD5wCnAG8AfwRWAL8FHnTOrSq3Yxq5rpZVRzLux4rLkQo+HmMeMzFzO1ZdzV2sM/qOGeuKy5HI8TgSmAF8FPgr8BKwBvgNcLdz7vm07yRJBgDvuAwTnyqxL+JtKu54DG1jiO9KPGa870rfj91Zc7qkjZ1NSD0LqWUlfifzMVbFffKYfYCu2o+dGr8Q+5htjLzfQ/oAIW2sA9Y75/5R5KNDnUliK7hkaUsSMIiUJElv73ZdkiS9nXNrt6Chh8s+CT6T7zL8RtGRsh8IJP5V65x7ZWt9h2oO0ZEn30mS7IrdODAI+BewpL2cjem7HPuMGnIT65i+Y8QuVLO3DY5JgI6YbdwLu4mmHvgb8ERXx6/MfIoZk2i+YxF5P8b0PR4Yio37/Rl4qLP+Vol4Xo9WFyL77vZamadjXXW15Hcqrq5GjnWl5kjF1ewKrn2VmiOVeDxWXF573xWXIxUc60rV3em+kyTpBbwf2AubW/F74CdZ6ma51yRFleCc00svvYpewB3AKuBXwD3YYMp64CHgsCLbqcC7SvjoUWLbvcBS4Hbgv7GTQAvwNHBSCfv/AA4psb0G7IaDcnyH+PXbfw38AZgFzMQGHTcALwLnF9l+DTimhI/adnxH0R2iOVR3ZN9P+rz7FHA28BMfn2XA1cB2Kdub28mbngW/QJ9CLlZijuQl1qHxjhWPLsiRKL6B54E5wNHYAPU3sQlCzwA/AIYX+bgduBCoL9qepP4/GNiOuHU15n6suBwJ0Zyz4zHmMZM5twnI65g5kpdYx6wjZcS64nIkxG8ZvpcCtwL7Au8Dzgf+F3gMmAdMLPLxf/7334ddCCtVl4YDO1CBfZEKPh5D26i6ms/9mIv4RW5j6H6MUs8IqGVl5Mi20CePmSMx92PM+IUcjzHbGLOuhvQBQtr4EHAn8DFgDLB9Cb9jgaGp9wcB1wNPYJOgLwUOoMS1uSI/7fUrCvv/GKAJu0a4COu/nAjUlYpPFt+pz8vyvSW/7dSlduMQqgO7DvoI8BY28Xw2cDFwIFDTGfHL0sYQHSHxiOkb+AR27G3E+h8/B27AbqYa6G1Kfr+zfW+NloDc034Mj1lZmrPGJEBHzDZ+Fljuff8JG8y+D/v7r65Erg4utD1W/DLmU8yYRPEdEruc7cfMvkPbCFwJvAy8jvUZFmPnp6uBUekcwfoag0r4aO8YjHLOKzevs+R2ZN+5q5Vb0hxTd+R4qK523X6MGetc5EiI5i7wHaVml5vXWXK7EvO6C/ZjJR6PMX3H7ItUXI7kJdah8Y58zMTMkVh19SZs0vYL2EKgfwPexubcHVDC/nBg9xLbO+XvWb0q59XtAvTSK28v4APAq8BobFBqALCbP5nfj3Vez/C2E4G1wIP+hH8yMKzIXx9gOnbB4lVSFyj85+OwQZvXgMtT2w/yJ7mn/QnuPwsnipTNdlgnelJW34F+d8DuhnkVP9iVshmCDdK+iQ1q9QEO9r5f8ie3bwL7F32vL3A5NmhV8N3Zugvx2KJmvz1E90kRfZ/offct+nwHbDDvH9jA244pv2uwE34T8N4Sfr8NvDtirGPmSC5iXeQ7S7zPiBSP4djAbqwcieX7NOAVNp+k0B8bgP4z9ofT7kWx/gewDhusPgUYUFRXbwPOJX5djVn7KilHzsiqOWfH48cjxePdwHvJmNuE5fUhEXMkF7Euw3fmOlJGrGPW1Vg58smsfsuoq+d438Xx2A7ry/4Sq63vKqqrhYszC4HP+fb38za9sAlNF1N5fZGYNTvm8fixwDaqruZ7P3Z3/D7VBW3Muh+j1DPCatkxgTlyfOB+rMQ+eewcib0fY8Qv5Hg8KGIbY9bVEC0XBLRxYsrf29jgybexJzSM8D5rsQHmKd7PBGzl6IXAl4HvYcfneuABYELqN/fGJjO/q0hLQtEAkm/jMmA+cCZwGfAcdrPVU8CHi+zfDdzI5jd3FVbtKst3iF+//QDgp8DhpezZNPjUr4w2vhdYifXdDsdWzb4f+AtWDz/ZRW0M0ZE5HjF9A4dig3ZfxVYymoYN6j2G3VD1ta3Yj6G+M9t7HY9gfcAdi/eFt+kBDAPeo/1Ycj9mjd+hWTWXoTtExwcitvEw7HxwLjAQe/LOZ4EfY09m+F/8ZIqU74VY3d6f0jew1GA3w7w/Yj7FOmZqIvo+MCB2PXO0Hw/P6jvQb0+fI6uxcb6e2NNVp2B9+Uex89Ve/nsTsD7SDVh/fk/8Nc+U754+Fn2IdM4joJaVURdi+o55zMQ8d8TSrbpaHXU1ZqwPy0OOBGou1NVKq9mHk4PaF7OOBPqtibwfK/F4zNwXKdN3rL5IzLoaK0dyEesy4n1kpHjE7q/G8n2U9/s+rC7ugf0tciG2uMVTpBYE9Z+9ii1U8J9e105Fvnt5nf1K5ade1fPqdgF66ZW3F7bi1gPtfLYL8C1sAGdv4DrgWeyE/0vsTpT7gCuwQZeBwH7YYMvl2Kpetd5X653T/v//4YvzOL/tGmzVr//CBs9/7wv6ncDp2OD6e7zvr2X1Heh3IHARdnId4P31IXXhBFuh5+/+hHQl8AtsMO9q/zvNwOPYiboOG4Aq+J4ZSffns2r270N0x/T9H1inZTf/3b6kBsywXPoL8G/AV7BViA7HBoEfxVaI+7uP1Qhs0n3sWMfMkVzE2r8PiXdm3YGaB2ITL2LlSCzfZ2IXaEen4pH2uyN29+EZ/v0XsRU4x/hY/QSbRPQa8EP/mx8gsPaVUVdj7seYdTXWfqzU4zFmXZ1GxtwmLK8HEC9HchHrMnxnriNlxDpmXY2VIzHr6on+uwenammbu5qx3LrQ//+/gLnYXeL7YoNu/wDewe7gPxO7AamS+6uVeDx+M7CNqqv53I+zchK/f4/YxssD92OUekZYLRtAWI6E7sdK7JPHzJGY+zFm/EKOx2MjtjFmXQ3RErIfL/Z++2LX4L6ETVpeg/UHZmI5t5FNNf1u4Pu0XRmnBzaINB87Po/z22/FFh74PbaS1jlsfjPVeOxYng3cnP7Mf763j8lbwHmp7bd5XSuwfssXgZFF352A1Y3MvgP99vDfL0zGX+33zegi+4k+FncHtrEJ+J8S9sOw4+ZfwFV+W8w2hugIiUdtRN+3A98r4XcolvdvAnemtsf0/aOs9ql986rfZ7OxutU79b0DgZ+lNGs/bl4XssTvx1k1l6H7BwE67ojYxtuA/y3he0fgVKxe/7LwXa+9sPrhejY9zWGvlM0BWF8sc/zKyKdYx0yviL5vC4hd7xztx8y+A/32Br4L3FHC9/bYRIunsBugBmFP4fgbNvb3NnYz9dewvsVuWF9mPLAEuwEr1jkvcy0rI7fviug7c60k/JiJee6IdTyqrlZPXY0V61zkSKDmgn2l1ezZ5KD2xawjgX57Rd6PlXg8xvR9M/H6IjHraqwcyUWs/faQeP8gUjxi91dj+b4BuKeE357Y9cKf+vYXrhvfhN3od6///pPALdj1uf291nHY9UhNWK7yV7cL0EuvvL2wE/JLwHva+XwANtniE9gJ/Ot++1BsAsVt2N1Kj2OTKv7gT0oTgb8CHyjyV3i8SE9sUOcS//4O4DvYXXqDsMd3fhl7lOdTwG+xlWweDPEd4td/dx/sxDq1yHfP1P/nYpO0/9ufwHphJ9X3+Jjc7E9oK4B/Aj/334uiO0Sz/39m3ZF974adoD9b5LtXKiazsRP/5dgJva/fvjN299wV2EDgeqyz+UDMWMfMkbzE2v8/c7xjxcN/L2aORPGN5dAzwLeL48GmiWo/Am71/78AuJZNg8812OqPn8Rq79ve9zzi1tWY+7HiciREc86Ox5jHTObcJiCvI9fVXMS6DN8xY11xORLit4y62sdv+wmpRzLR9rFbtwB3+f+fBlzF5qvWHuN9vO59308F9kUq+HgMbaPqaj73Yy7iF7mNofsxSj0joJb57SE5si30yWPmSMz9GDN+IcdjzDbGrKshfYCQNk7CJpMPLvI7Djv2Vnq/96U++z2b/uZLaDspexBwj//9Adgxeh3wBa/nSeyGlluwVWP6YsfXUmyV6cIkjB6+HWnN12MLFwzx75/ABnBOxXJrIXbueRgbeOnvf3txiO8Qv/67j2Kr97wPm+BdeCTsMmyi+Q7YzU2Lymjj3cD/YBNNarCBpLT9f/oYD4/cxhAdmeMR0zeWY3ezaWXB4nic4O3GlLEfQ31ntseuaX/Gt/d0v1/XYv3667EBxf/xMdF+3DzWIfHLrLmMHAnREbONV2P5UHjqQuvKhP79ROB5/Mqz3teFPh4fwP5OfBN4A+tbHO+3PRVrn8c8ZiIfj5ljl7P9mNl3GW28GDvvt7lRKeV7L58LR2H9l4v99tFYH2mV9/0wdrPbz4Dfp9rY6ec84taFmL5jHjMVd6yH+M3Z8VhxsY68H2PGOhc5EqLZf7fiajY5qX1l7MeYx0zM/ViJx2NM3zH7IhWXI3mJtX8fUkcqrvZFrqunYf3WvdrxOxS77naSfz8H+JL//x7Y09p+g12H+w3wdewa3m9L+dOrul7dLkAvvfL2wu5+eRj/6A9sifv0Cb0fNqH5JGyJ+qklfIz1J5//wzqujdigx4+xO/CuwO5MSq/qNRBbdWhKysfxJXwP9799vff9kRDfIX799lpssGadP2EeA/RKfW8INiA7DXuM6LElfO+EPV704iLfUXSHaPbvM+tO+V4fwXeC/eHTgv0RdAqpR7d6XyuAk7GT+wdK+O2N3Qk61fs9LmasY+ZIXmLt32eOd4juEM1+e8wcien7TGylrReAT7PpD6ZarKObjvVOwAHt1Oee2OOHWwisfWXU1Zi1r+JyJERzzo7HaHkdktsE5HXMHMlLrEN9R451pebIWVn8htZVv+0YbLDsr1htHY31f3fCLrKkffcH9knFMinyX+91VnJ/tRKPx9A2qq7mcz/mIn6R2xi6H6PUMwJqWarNWXNkW+iTx+4DxNqP0eLnt4ecq6O0MURHyD7320LjfSzwcoY29gHq/Xd6sPmj0fthgzuNqW1fBP5caFtqew//77uwwZOPYosLfMxvr8MGh67GVmJeiA2ObAQmA+dh1/92L46H/3c4NlA9AWjABqKm+892wPo652KLGSzGbrbaiK04ndX38YF+d8fOc+d4+16+ncdgq4GtZNNk/BNC2ujfT8FW2Tm4+Ljx/w7B+nOHxmpjoI4TQ+IR0zfwQe/35HbiMQAbAPxgGfsxs2//Pqv9ZGzS3Dkpm1rsRrBLsMHMtV7HudqPm+3HoQHxOz5A86GBOXJWoI6YbTzAa/sc0L/E+aYfdj48Bhuj+QJwdpHNdlhf4xfYKogbsSdPxMynGMfM8RF9nxYYuzztx6y+J4f49Z/tg/WHvoP1Q4qf9rCdj/VJ2LjgWSV+/4PYdY1Xve+P+u2xzuux6sIJkX3HPGYq7lgP8Ku6mt+6GjvWeciRcupqxdVs8lH7ytmPMY+ZmPuxEo/HmL5j9kUqLkdyEuuPYCsMh9SRiqt9ketqPTYR+n5s4aHihQ228/E6HrvmegJwWgnfE7EbQJ72vhuLbfSqvle3C9BLrzy+gFFsukAwH1vR7RPY4MltwEsp28KJvpbNB1L+DXg99X4ANjDzODYI8r/AV7HHWd6PX2GihJ4eJU4a/wasSb0f5H0/gQ0SbtG311zTkd/U9rOxFaIWYo8r+F9sRaLHgadL2JcasPoosK5oWzTdoZoDdU/HJrY/E+C7lO5Svg/H7oJbgl3oehB7vOli4FcZc/ijwMauinXkHMl1rDuId5DurJpj5ojffhh2s8WLWXx3oLs4HiOwFbH+hv0R/wfgPqzTPrfcWJeT1yG5HSuvKzVHQjXn6HiMktedldsd+I6SI3mKdUi8I8e64nIEu/v4FuziQCa/AbHeDpt8toRNq0Y8Cvw/4LaAHGlkK2t2O5q7tC9SqcdjiI4y8q/ijpkq3Y9dWXOC9nmo7pB4hPimE+oZRbWsM4+xDvZjlGOsM/KjO3KkG/fjVsWPgHN1zDaG6AiJR6gWbDLyl9k0ESdzG7HrYkk7fvcGnsNWsLkQGFv0+TH4fgN2U8FmT1TDrgOeivUjXvfbdsOu3a0GvgW8t+g7xwFvp96/q/i3/fah2IIHPyrHd4hfv72BEivb+PjvgQ0AldvGnbBVgDZij/X8cOqz7bEJK2u6oI0hOjLHo0zfe2eM9fZsuunuMewac63/bFcs/94s2o+xfG8PfDuLPXYDxx7tHJe9sUHtgg7tx81jPYyiCYwdxC+z5jJ0h+jInB9l5EhP4LPYJIg/YasYjsD+TtwHm7T5Wur7Q4Bd/P9r2PxvtzPKiV9I7EL3e0isIx+PmWOXs/3YC5v8sUXf2NMxds3aRr/tZKwf91fs3HQ4ttLgwdhKmau93QD8ZAtKj/sdXxS/KOc8yqsLWfsAMWtOzGOm4o51VFe7LNah8c5RrHORIyGa/fuKq9nkpPbFrCMh+dEFOVKJx2PmvC4nt4nXF6m4HMlLrMuoIxVX+1LbPpbR90Bgp4D8OxQbX3kZm9B8JjZ5+VhsxeS/pWx74Re68DEpvv64mW69qvdVePyfEKKIJElqsEJ6Glaowe6c+w1wjXPu0Q6+28P/dy6wvXPusCRJEuec858dit2xMwrrHO+BTdL4tnPumS3oSvx/b8VOQh8t+mw8dmfKvsBg7A7ALfr2ulyx35TuBHg39riC0cBIrEMzB7jFObesYNvBb1wNDHXOfbxEmzpNd4jmdBvL0D0ceyzCOOyPlnpsgLbVd3v+U7qvKvhOkqSHc26j/3wY9siNMdhFrF297tnOub9m0PwZYJhz7j+KtldqjnRbrNvzW/Qb7cV7i7qzai5sj5kjSZJs75x7K0mS7bDO6UQsT3bxutMx2d4591aRzxrnXEvat29L4rdvj61aPwbLw12wOvmQc+6fxW1sR/cZwJ7OuS+mtpWd14XfZCvqSLl57T+rqBzJqjlEd+zjMUZep9qSKbfLyeuQeFdirEPiHTvWlZgjSZLUOeea/f9HeN0HYv3KNnXV2wx1zv2tHd2tvr3mHs65Dd5mMJZ378MuuDwELHDOvV1o4xZ0TwJGO+e+kdpWkX0R/1klHY8h5w7V1fzux1zEL2Z9L6Nmd3o9K7eWZcyRbaJPHrkPEHM/Romf95PpXN0FbczcZ8h6fPntmbUkSdIPe6TuooJPr+ED2ErNDwa0cQI24fh7Rdv3Ay4A9gP+iU2K/qv3fwTwS+fcp4u+Uws451xLatv/Af9yzp3s3w8BZmCryPTDHn+5HJtgvj824fszJXQmeOdFvjc45yb794OxVa+P9v5e25LvDjS3+t0S3h7n3L9thY4zseulewIJ9pS63tg59Xbn3Je7oo0+L0/BHl1a056OkHiEtrFI98Z0/pbynSTJYdjNekdiA7+L/L99ge86564poTGK7yRJDseOmyPYFL+O7NvTUeucO66ErfZjNt1t4heqOUR3oI6g/NiCjmLfI7EbTE7EBvGXYgPX7wDXO+f+O4PmBOtj9HbOHZPaHmWf++2HsZX7vYNjJtrxWEJDydiF+o68H/fEHlV+PNZn6dB3seaO2uj7q+djE0T2xm6264tN3vi6c+7ODvQWbqD6KdDXOXdU6rNo57zOqJMp38X1LFrNiXzMVNyxrrpaHXU1cqxzmyNbqKuVWLNzXftSvreqjgT232PmSCUej0F5XUp3B76j5LX/vOJyJK+x9t/vqI5UXO3zn/fFcuR0rG/Zoe8k2XRtewvxqMUmxp/n/f4Vm8C+CLjKOXd/e5pTvsHGU/o5547oyF5UB5qwLESKJEn2xi4ovIKtavOcc25tkiQDsEkPi7GBi7Xe9kPA37HHg/wVuztkfeIHWJIk2Q27K2RlOxcftgcGO+dWJH4QKPVZDXbSKnmQJkmyC3ZHy+7Y5OfVXsczzrklSZL0wQZJV/gC3wN7TOVHfPtexi6Y/Nk590bK787YYNnf/ImypoTu3tgjlN9MbSvYtnSgeSfsJPZaSkun6vb7I5PmQN3bYZMaTvD6m7FHEvwOe1xDH+fcv1Lf2Q6bCHECtlrQP7BHlD7uUgOASZLs6OP9aju/3SYvspIkyUAs1m8RKdYRc6SiYu2/O9DrPjCL7s7SvDW6UzmC1zEZe7Tu/wMWAPPc5oPVg1K2bwCvYysUznPOLU/Z9fe6Xw/VlUF3PyyPxpIhr30triVSHQmsfWvYtN8rJUcy53Vn6u6E43EQNqmgkvIa7O7nLs2Rroy1/063xjsV655UXu3bGXs8fSN20WM9tirhnc65JSW+MxS7oNGI5U8L1sY7nJ8w5O22w54Y8kaxjw701Do/sWoLdr2xGvkeKqsv0i01u5P7Ilt17ijhW3V1k++urKvdGb+B2Kqk3VbfU/uxPxHqWWAtA6tRndI/S9lWcp88Zo70dM79v4xaQvfjdgE6guJXdO7t8FydVXeIbaqNOwToCOkv9ADWBmgZAZyDXWfbgE34/RVwk3Pu6SL7Ps65d4q2lboxoAagVJ1NkqQXmxYIGIGtVNgfuBKbJNTuvvT9kJ2wlZqnOud+Wfh97/cA4BBswYG9sEGoa7CJ0Gu2EIsEq+0PAuc7vwBCyv8YrO6Pxiar9yz2nSRJL+fcuiKfCXYclvTbjpYB2NMFZjnnFoTq8PYDnXOv+1p3MNbPG4PdsHETsLCwLyO2sfC3fg/vb1+/X0b777TqCI1HGW0c5Jx7rYTu7dO+k9R1Xu93JDbwuD+2MtOPgKXp4yuW78SuR+/gnFvp34/Gcnx/4O20fWKDmTs4f+NDkY4+2PF1q3PuD9qPJWPdke6+JeKXWXOg7sw6QvIj9f1MOZKu4X6/D8EmCh2C9dXnAy+7TYP47d7E4mvzvwPznXPPh8Yva+z8Z5n3exn7PMrxWEbsun0/YmNvw7AV1wo3OfXFbhA7BOtrzsOuE9Rgqxr3ds69UEJzT2zycLqNhVXt0nV2d2xluWbgD87337eguQabqPOH4t/u7HNeSJ1Ma2hHd6k+QKyaE+2YCdWdh2NddbVq6mq0WOclRwI111KhNTsPta/gJ0YdCcmPVIw6PUf8too6Hgnoi/h49CQgtyPndUXlSJ5iHRJvbHJvxdU+nx/vwsbFnkjZjcAmt7+E1b5XE7seOgZ7euDCIt2FScVp36U0D8bGqZZh+zA9RrelhQoOAv7hnHuxPRtRPWjCshCeJEm+it1NtxZbDasv9jjJJmy1t7c6sO0D/BG4C/ieSw2sJUkyrNA58O9rsInGG1zpAZZi+9aVfErYfht7nNRr2Ko+vYCV2EDUdwont3ZsewIrsMdCtHY6UvZ7urYrZW6mO9l0waTYts0KQV2lO0RzO/bt6k6S5DbsD5dm7I+QntgfL0uBHznn5mzBvhYb+FsG3OWc+2nK9hDgj8Una2ziTWG1wB6+I7iZbQmt6TZWXI7kJdbt2bcX7xDdIZpDdZeRIz/FLnguwTrIvbG6tga4B1tt8PV2bHthg8BvY6tzfbfwu0mSHO/bvtSlJrSmNLTpwG7JvvAd38bMee2/F6WOlFH7Ki5HKvh4jJLX3j5zbofkdTvx65QcyUusQ+MdOdYVlyNJkvwcm3TzLHZD0gDsQsgA4AHgW865panvFdv3x24IGoCt1ni1c26Ftz0Xu4iyELsBr3jgrAbLkXVbsk99r6ezG/kqri/iP6/E43Grzx0d+K64Y8b/vxL3Yy4wts1qAAAgAElEQVTi1531Pa3D/z9KPQupZf7/W5UjJXxXep88Zo7E3I8x45f5XB25jSE6Mh9fW9JdrCVJkl/7uD7pvzMU+DD2tLHfAl9xzv3Ot/fL2Pn/UeBPpY6dJEl6O+fWpt4PwlZveRc2aLQUW6l5VWIDLL2cc6uLbMd425XYDQeLXWoyZJIke7i2N1IVrzS0nWt7w2b6aWrt9iu8bR12Dvp3bKLRS/71G+CpEr+1W8r2L9hCCU8Dvy86tnZzzr3c3u+W0DEEOx9m0uG/Mwp75GkDdoPvP4CHgQdd0U0iRbq7rI3JFga9OvjeEOfcK4FtLNju6W3/H5bT851zr6TsBmOPVM08ABPZ90RgJnYs/gs75u8Hfuw2vzmm2PZt4OdAk3NuVcpuAHZO1H5s67vDJyyk7AZhf/dk0hxLt9cxioz54b8TkiNr0/U7g57eWewTmxwwjAj73Nlgfab96L+TeZ87516LeDxminWSJH2dPdkgL/vx/VhfYHusTwm2ctt/u9QNZd7+mBK2/4ddX3gxZdfb2cJDbZ6oUfhbDfvbrfh8V+rpG6VuoKr1f191+Tmv3DrpvzsE2JFurjnePvSYiVLfYx7rqK5uU3U19Z2QWL87q+aYukM0+3NHqTqc65qN5Wi31772NLZjF1RHQvLDOfdG1v3uvxOaI5V4PGbui/jvZM5t7Kb8WH2RKLGOmSPkJNb+85A6cmRW3XmpfT5HTsPqWQ227x1wL3Cjc+7xou8U2270tje4tjcHJ9ik9/ScuB7Ytab25sDtWGSfAEm5/VpRJTjn9NJrm39hHb7XgI9hf4z1wO46ugVbcacZaMxouwo4ztvuhRXyXwH/AexS9Ls1WOEe6d/vuQX7Htig6EjswsYbwCTsLh6wgZfLsZXoXgOm++37bMH2n8BZKU17ex3Lga8C9UU6ar3uQ7BBr45sa1K2O2TQUq7ufQI0D8rQxrTuCVgH79DU5yOwRxo87DV/3m9PfI50ZP9P4L9S+bQRe8zCzcB7sZNz8X4/ETgswHZExFjHzJG8xHoPNh2/WeyPCNAdorkmUEdojozCJhTsn/p8V+zxJf+DXTj9lv9OiG1B82vAz7B6uTv2CJm0lhnY3csh9v9G9rxOiFdHQmvflvZ7HnMkJK/zdjzGyOuEsFz9SIDtfhFzJBexTmmJUUfKiXWl5Uij1zEqtX0QMBH4L+wmux9ij2ECO09nsscu1G5k04XX/8IeQ78z9qSQwvcvxx7dHmL/cSqvLxKzZndnX2Rrzh2qqzmsq5Hj99GsOiLX9/2IV89OCbA9LGKOVGqfPGaOxN6PseKXl1wN0ZHZ1n8Wovtj3veI1PbePobTsOPmfjatzLMRm/z/GHADmyYX9059/3vAR/3/h2ETglYAv8Cu272MraD/JWBQ6nulbJv9ti8CQ1K2A4HhJfoUvaB14Y9kC/Y16Xiktg/HJno/gy148Ci2Qs+TWP6N24Lt08Dvge8CE4p874j103oW/26J2pNZh//OSGz1o18C3wZuxya+/8Hvw8nd1UbsXNijKPY9QuJRRhtL2c732u8DTkrZDsZWMB+JTaAvpaG2kC+Rfe+JTZC7G7gU6xP/EDvOnwEuYdOxXsr2B9hiHc8Any38pvZjyVhv0T7VzsyaY+hO6cicH2XkyC7YYP1h2KB3TdHvFwa2a7PYp3KmZ6x9HrrfQ2Id+XjMHLuc7ce9sHP4TcDZwFnAN/z+Wo3Vkl39d0rZXoPdhLQa+A5tz+u7YatfnomtTtynRP4XzvNbsi1MHOmo/m31OY+AOtmefXu1km6uOZR/zFTcsY7q6jZRV7cy1rnIkRDNHdThXNdsclL7stqXU0dC8qMLcqQSj8fMeR2a28Tti1RcjuQl1hnt03Wk4mqff783dtPFl7EFBA4DLsCunW3EauHoLdg+5m3nAXt722FYjfwK9mSR/u1o7pPRvqC7YN/mOrpe1fvqdgF66ZWHFzZA8YvU+/Qf/wOB72MXGgaWYbsKO+E/j63gMgd7nHfhRFHvi3xdoP1XgV+V0uHfX46tGlMHfCarrX//eeykeT22Qs1G7ILKp/CDRdig3kZgVoBtfYiWQNsQzfWB9l8AftuBjk8BrwJj/PtPZ7XHBviexjqNj2OPSV0GXIYfNGTT4N2sANvdY8U6co7kJda7B9p/MUBHZs3+fcwcOQvrlBYucBZPpDgemzz23kDbS7AB7I9jd96txe5YvgV7HPAQ7O7xjdhEnhD7KwjL1Vh1JLT2heRqXnIkc17n7Hi8mAh57d+H5OqsANs9YuVIXmLt38eqI6GxjlL7IufIDOAJiv6QT+k4DJtQVbjBbkpWe+A/sck7H8H6sa9gF07mAp/EJgwehK0iOjLQ/koqry8SrWaTk75IGecO1dX81tVY8ftMoI6Y/cRY9exrAbYjI+dIJfbJY+ZIzP24LeRqiI7Mtv59iO6zsHNtXTu+x2GT+qcD53u/R2PXuhZgK2A/hP3991FsJZsWoMF//wZsYGWflM+DsQGh17Hz/sEZbf+Usr3e79NnsIGZ4kGUWmwA7nBsMGVL9jUp+xu9jvTg27uxPs0fsQGtY4s0t2fbXLD1n33L61gKXA28u0TMd8UGtW7KqiMVk3nA9qlte2DHxlzsuDg1o+6uauN1Aba9Atu4Jdu/p2y/4XX8FZvo8BGKBnCxfvBXsJsIYvq+Fptokf58CHaz1HXYqqAX+e0httqPm8c6xP6mrJoj674h6z4vI0euZtONXPOxFWYPAHZMfbceG3gfEGj/3zH2eRnxuy7ANubxGBrrvOzHbwM/Lzq2t8MmTVyAPQXiamwiwzey2vrPZnkdi7BJEldjNw3umbIpTKD4VoDtjkQ65xFWJ3sF2t9APmpO6DETpb5H1q26um3W1RD7m7LqiKz72sA2Zq7DIbaRa/Z3yUftC+0nZq4jBORHF+RIJR6Pmfsiqf2e9TiI2ReJEuvIOZKXWO8QaH9jgI681L4dgauKtXibAdi1tt8At2HXrkJsL8eu0f0Wu87aBFzk93vhBo3h2MIBQ0LtizXoVb2vbhegl155eGF/rD9H2wsGvdg0geE92GDHmYG2Tf7EsQe2YttF2HL/L2IDlt/FTs5L/Xcz22MDaSuAA4t0pO9UeQobUMps69/fjHUYhvjPTsAmUb+CDbbe67UuDbH1vqPoLkNHSBuPwDpZJ7Szz7fHVsW+zL/PbO/393ewk30tNmh3hf/dFuyupQewO7Qy28aMdcwcyUus/XdD9k2IjtA2xsyRA7CJFeentPSg7R8sP8P+WAmx/arf74UbLXbEVp97EutI/wkbhP6T/zyzPeG5GqWOhNiWkau5yJEydOTleIyS12XkauhxECVH8hLrMmpOzFhXXI5gd2W/gt2J3XqxNP0CfgR83/8/sz02IetWUitGYhc55mOrib6I9W2f859ltqcC+yIVfDzGPHdU3DFTwfsxF/ErQ0fMfmKUehZi2wX9nErsk8fMkZj7cVvI1RAdof2LEN27YDfhN2EDrputjoKdm3+M3RDwQ9quIHYktjrhc9hEnr8Az6Q+XwCc5/9fvOp1f+BB7BGoobZPYX2Em7FB5I3YZOr0KlpfBBaF2vvtF/ttpVYcusPb9AixTbXxOmx16UVsujnrImA3b/NlLG9Dfc8FvlwqP/zn1/nf2j5HbcxsW0YbQ2x/h50XzsZW02zBnvjxTey67/bYwN2fy9AR6vsHwLc68P1F4AVsxaYQW+3HzWOd2T5ER8wcCdnnZeTTr7FV3BqxhVnewCZn3o6txr83Njhe6Bdlto+1z8vYj3k5HkNjnZf9eB1wWwc6zsP6AaNDbP37h7Aa8kGs3/Gs32f3en0f9PvphRBb7zvKOY/w2hdSV/NSc2KeH3NxrKO62mWxzlldDYl1LnKkjDZWXM0mJ7WvjOMgSl6Xkasx+xd5OR5DczXkOIjZF6m4HMlLrMuoORVX+7zvrwD3daBlCjZZ/X2BtvOwWjURW517LrYgwq+xp6Od7vUt8d8Nstdr23l1uwC99MrDCztRN2OPpDy4HZs/AOcE2J6LrRJzWWp7gk2SOBa7SPAQdgHhE9ijMUPsB2ADZc8AR7WjY6E/6YXY9sQevXlx0efbY6tFTcceeVLQkdW28LjvGLo/HaIjsI3TsTuFfoL90XBqBzr+3f8/q/352GPPzy7x+UCsU3GL13FOgG3MWEfNkZzEejo2sSDEPrPuQNsQHcE54j/7BtbB/DwwuJ16dn6A7QXYqlqTC3WsyGZPbJWwQux6BNpnztXA4yCkjpRT+youR0J05Ol4jJTX5wfm6tkBtjFzJFexjlRHgmNdwTkyA1tt8CZswtX2bHrUWm+szl2Y8pHJHrtg9EG/vdQknvNTOZIE2ldcX6RSj8dAzaqrOd2POYtfd9f3dM2OUc8y2wbmU1COBMYvN33yiDlyfsz9uC3kaoiOQM1BfQC/bRKbHn0+2cdtkP9sJ2wi8kXYDUX7F461Ir/9gNO833NSx+N12Oou6cel92bTTQQfwQZzxgfYTgIe8b/XGxjl/z8HeBN4G7gTuyZ4CbbYQIj9V7ABuvoiHYV4T8QmfR8caFuPTbQvxH174FC/T18G1mE3SazGVvLP7Nu/vwCb2J6+qayGTRNQG7z9ETlp41dD4lFGG7Panojl/rkpu2HYk8VewHL6SWANm1a9iun749hK8Sfgc7/oWBuC3Vjz4UBb7cdUrLEV8kLsM2uOmSMh+zwwn07G+j0XpD7rg12f+h1WJxdhN5Gejz0mPcQ+xj4/InA/fikk1hGPx6BY52w/ftjH6XxgpxI6tsPqzImBtoOwiQ+XFNWnE7Hz82Ks/74RmziR1bZwHTTGOa+RsHN6aB8gDzWnnGOm4o51VFe7LNZ5qatlxDoPOfL5EM3+84qr2eSj9pXTT4zVfw/J1XJypBKPx8y5GngcnEbcvkjF5UhOYv3vhNWcfw/RHWgbu796sH9/DbBHsRZv8xx2jGW1PRNbFXpmantP7Mlis7BFAX7vfZ2HXS/MbF/qd/Wq3le3C9BLr+5+sWl5/Pdgy+MvwlZ4mYGtNjMEmIk9BrN/Gba1/t+eRb/bEzjFF99+qe2Z7bELErOxjvMT2MXc/bEBmW9jjzHpH2rr7QvL7/coEbNJXsf2IbapWNcDP8UulGTRndW2Nv1vR5pD7bFJNDdig06rsdVzJmEduzuxAc90GzPZp+NG6RWHDi3Skck2dqzLiF/FxbqMfTMQe2TWmgw6MtsWHWOlVmAo1pHJNhW/3tgfxP/weuZgN1xcBPwc+0N5+zJsiwf1k9Rv7l8i1pntyZirlHccdHpeU16uZraNVUdCcjXVxpDjIHNel3EcRMnrMnI1k22Z8auoWFNezYkR60L+98EGjF7tQEf/ANtSx2NNBt0htj2xx60vxwadfgdciT2m7gnsYkS6TxlkXxS/9EXYMcU5EmJPhfVFiFyzyUlfRHW18utqxPgF1T7C6mpw7evKetaebZn5VM198ug5Emk/bgu5WtjWG7sh8y8d6Ng+wDbdv2hzXsJuzGivD1CDTVR+HFs56jnsqWFzfZx/mzEe+5aI9WHAP7Gnkr2nxPcbsIGxfgG2e/g8OLLoGBjk9/cFvg0bvd+dA+3HYgOAjwKHl9CxNzaAuH2g7Q7Y4OP7StgNBv4NWwE+WId/vyt2DfSP2Ko32xXZv7tM3bHaWBcSjzLamNV2Z2wBivGFY6XIbj/gHuzY6Buooxzf/bCB5MXY6ln7YI+lLtS3g1JtDLHVfkzF2scuxD6z5pg5ErLPA/NpB+xmmDF+e68iHbt5PwUdvQLtY+zzwjGQNX6DQ2Id8XgMinUZ+3FC4H7MbO+3fREba7sROBo7Jxc++5DX0T/EFrshbzh+wgWbj7cNwSZktPhYZ7Ut1JwY57x6ws7poX2APNScco6ZijvWUV3tsljnpa6WEeuYOZK1Bg8MsE0/Daeiajb5qH3l9BNj9d9DcnVggG3s4zE3fZEA+wHE7YvEzJFodSQHse5HWM3pF6o7qy12DWmPlI7i+BXrzmyb2n4GthLzXcCnsInJO/rPpmHXw/qH2HotQ9qJ3SBstecNtM3VzPZ6bTuvbhegl155egEjgM9gq6wtBF7HBmwWkLrjLYstpSfv9qDtozOvAX5b+Kwce+yPt5OxR2UuBNZjj+J8BDilDNvWAbgO4vRV7EJHZtsS23thd/zcgnX6NxRrKce2g9iV1JHFnk0DcYk/MV+GDbitxR4LfA/+LtcQe/+bW4rfpb6dmW27Otah8c57rFMay433/thqW09iNWEz3eXYdhC/kjqy2KbbiP3RcDa2KsMrfv/fir/gmdU2Y+z+E3gwINat9uXmajm53Vl5HZrbgbZdVUeCcrUM+8x5vSX7GHkdmqvl5nU58auUWIfYd3GsB2F/eM/DJi5tprsc29R3aori15GWkraU6G9hj0m/BXuk5/3At4CxhThntc8Yv3OB+QHHQat9alvF9EXSuUon1uyMsevyvkhnH+uBtqqrWxfrLokfgbWvDPt26ySR6lmI7dbmU5YcCdzvueqTd3aOdPF+rMpcZfMVij+ETRL+M5v3GTLblrIv5E4W3djqw1d4vzdjk+7rM7bxdFKPpWTTuff92Dn379iA8mexwePp/v3PQmyL25RuW2o/3w78slQMOrJP6dgbe1TnOmyS+DXYjQ9fwSaL3x1iW/x7xXUi9dn3sQniBa37YLm/viPfKZ+7YI/pXIMdL7djK+V8H3ga+FGI71AdW4p1uo2htoFtzGzbQT6nj5mbgN+ljy+stv8vNhDYoW/88ZPS1Z7vwuc7Ycfhaqx//RD2aN4HsRp4c6Dt/2/vvMNkKao2/uvdvTmQuZec8ZKDigiImBVEFDGAWVQQFBWVJAgGRAwYAQMomFBAUcFPQAUl5wyScwbJWbj1/XFq3L69PbtVvXNmqnbOeZ567k73O+993+rq0z3dFew4Vuo6Bh97zLXaSMwxj21Po9THUInnB8D5Y9TfCHxMfTSpu5hzLIXzMbauS3WyBPAN4CHkXPhHO27v8X8Dl8Y6jjF4hldquAnJJecBv0EG/lwNfLcJtk2dDJZ0HF7VHYJF+ZpHRJ4MxROZ+2Lx482V7bBkeK5jebUv82rDug7KwbH4Bjk4Nr9nk7NJ5H4r9jygy+06tm23wxLRVmOw42irKvci423bdOZeRLWuNfNIqnUdkEcWRlYguxF5Z3V+VUcMtlrXpb+r9beA7his3zYV6Wz8d+AOX39nIc/Hrga+2gRbV3elv48ALhirrmPwViZmaTVcC4u+jaIoFkVu4qYhN3C3IKM81kQugPOB651zdzXEzgCc3/506f8dRF6MXOucOyMWX+NjYWQ03/PIaKZbnXMPt/EcjK357gAyMvs259zFMdiiKJZHRiYuhdzgX+Sce6YoirnIBXAR4Gbn3KPjwD4OXOice6yiYxvg9hodY+L9tsL5hFkUxWSkDTwNLA/c4Zx7tuI9Ct+m/grkpe0DzrlrY7Bade3/r+D6Q16cT6i6ruKRm9eVkVnW7wBOaXksimIIGdxwq3Puv0VRrBWK9dta+FWBe4BTnXMPVXRsgvwAHQzFlj36Y+BadVjaPtc5d29lWzB2jPqbBzzpnLsjBo/ceDdtqx3LIzRo1357cFvtRLtu8dAgjxDRrv224LYd0659PovC+21db9f+O8Ftu4xtWH/Z1XUTfEj9hWK9p5chs/SthYwm/61z7oESdinn3D2+LoOw/u8yfg1kafXfOefuL+EL5Lg9h8wYFoJ9uuXR3wsOtM67EnZ2OQeVtgfj/f9H9bj4fYv5XdW2MCqe4dlWsrsXaXnsZs7u1r2I32Z5dQLl1Q7X3zMM56fY3BeTV4Nzn9+uks9CsZptpLQ9l3tytTZS+b86ehyBx0J15NpWkYEyWwCbeu1XAMc55y4tYRd2zj1SFMWMUKz/u4xfBxkA/wfn3GUVPwsDRUn3IHKNet45N7+EnVRTR209+v1T6q6nRVEsgSyf/hpkVp+VkWvjMcDhzrnrm2BL3xn0ul4oimI6MknBV5xzv2ujsxaPrM6Gc84VRTEbmb3ojcgSmGsgL7GOBY5G7l+CsM6524qiGCjXb42m6ciLyO84546t7HsV8Dbk+K5ew73AcSmK4kXIrGBbIc9C/43MmH1sTa4albspdpS6rvU4FjbGI/KSLhT7gHPuhTrt/rvTkVm/j2hpLopisPWdoihWQmYo3xLp8H8NpbquHvcaj//jrl43iqKY6nnfgZwH//Z1ciKSL4OwrRxR0tD3x7F8DGPxYx3zVh10uo0gHSqDj3lke3p8jPqYBvwSuc4eF1B/bfEB9RFb11HnWK/Px9i69tv+d2319z9vBd6FzDZ3DQse98nOuecqnAPOufltuIPwwO+r17CiKF6GdJRYCrgZmZX4NODZUKxz7umA9jQFWT3lL8AJoVjn3PE1+9WueTF5cjQ8svpq8DU9Mq8G50rkmGteH3t+rmN5tS/zaoO6Ds7BHqOSsyOxI3535JCzU7jfKuWzjucRIu/fY9oq8rtf8/4iq3sR31ZjzoPnNO9FtOo6pv5i8kgqdV3NC4H46c65p0r7N0ImiazTHYz1+xfAV3RMBn7cTscY2BEei6JYB3m+tAhwN3Ax0pm6GA+28r0h4NvAmYF1vQC+Hc5iYoZ1WLbo6yiKYntkuc7Nkc4RNyAPCE5FkvkjHcA+gLwMuwU4E/irc+6uUXSMii9fnP1Dg6J6sW6CreLHihisx+8EfAyZjep2pA5bI/yOdf7FkNf5sYbY25D6exKpu985564eRceo+KIolgQeqd5kjeIxGK+F9XiVunbOucj6y66uG3DvgSyPsRLyo28ysoTKP5Efoed43ADwuVCsv4kvc1+DLC88E6m/nzrnzmqjY1Ssx6+JjKC8r/UjtrSv+oN53NhW+6mpv2B8TLuuaasdyyMx7drjU2mrKu26pq3GnAchbTXmPFBp16Ph27TV2PNAJY+QSF3H4pXr+ivIQ5gZyEjmVbzfM5CXNyf6/DGAzHAThPXnQZn7yhL+TODbzrmT2ugYC9u677yu/KO+aN8hKhg/CrZd/QXjc7wX8fhU7uW6lbMtr06wvDre+ovJkzW5Lyavjpr7vBaVfNYg92ne5+R4T67ZRjZD7zj2Q1v9LvJS8nGk/b0U6VR9LfLg/yh/TAaAQ0Kx/t867lWRc+IbyOxSrZej2wL3IzOj/O86VhTFJIBKfbTD1nbKL+3fFBl8vwjy/OwSpNP24kgH6dml+4cm2MWQ+4ZzK3pnAts5545qgq/xMcX/+TywlHPuzjpcLLbmu9OQTlH/QJYinevLxcigiuc9bhCY6yrPLP2+2meARVEs4px7uJAXY0HcMVj/uYq/AnlWWm4z05BnqqeHYp1zp8R4bIptF/6cWNs5d2khk1i8Fck1yyKr2h3jFhwg16rrMnZpZLajY5xzz1S413TOXV75P4cAWnVd2j5iQMBYWDuO/8P+7zjG4JGcEXTM/d/qbSSmfcTii6J+UIrP93Nc4MClFh4ZpNOkPmLretT6Qway9fx8jKk7J4OzVgTeibTFZZFZ9Y53zt1Q5a5gl0behZ1QwQ4Aizvn7o/FVzwOuLDfwMHY0v/X9r4iFqt1zYvJk865U2LxZY8xua/bubJD18ckznXLq/2TV2PwwBQCc7D/e8VQfEwORp5rROfrUv0ln7PH2VY7er/VjfuzBjknuG0r319kdy8Si1e4F1kRhbqu4VbJI6nUdQi+KIr1gB2QZ5YLIc8R/+icO3U82Br8LOR38InAec65J5pia/4flZzt6466+8RO4C36JFwHpmm2YiXHgsz88gAyPf9qyHKdByKdI65GlrVZssPYK4FflLCDkfiFkaVA9gRWqvgpT/+/IrKsQyh2KjB7FHx52dkVkB9VodjpXvcjwD7+75ciS68e6XlOZnhJ0k5hz0GW2GphByLxCyEPeb6PzGKzaNlbyeP6Hjs7Ar9sBHb5COwiWnXdoL4XybCuF4nkXgHpUPVRpDPC6shL3P2QG/7zgdeV6i4IG4A/FVmCI4R7AazHz0aWTfkt8CFkhqzZNR63QH48a2DnROpYbZT2FNtWx5NHYtr1AHptNfY8iMkjwe06tm2Pga1rqzHngVa7XiKSe5UI7JwO1l+qdR1bfzHHpkldP408GBz029YB3gecgHS42bFUH0HYAPwfkI49IdxV7Gxk9q+/Ip2ntgKWq/H4NiSHxODnRWCXi+Rei/zuRTRzdhL3IpZX+zavxtTfanQu98Xk1QVyX4P8F5PP1ojALqfcRnK9J9dqIzHHvMlx7Ie2+gzwCqBAnsMs5j8fCdwJfJXh5yJB2FKdtMMfUcIP+vp4DLnOHgV8nNJ1vKT7Q8B6EdhV/N/TkeUtH0aW5r0C6YB8sv/+3NL3ZowDezlwkcd+Gli6oqmqoy3e18vSlJa6bFdisA24ZyIzST8C3Iq8IL8B6aR+MLBGCTuA5LGXAIvUcBUsuHRnDPesSB1V7jORjufXAt8C5o2ioy3W42M8dgxbs20WcBLybPgs//e9SMeh3wEvHwN7Twm7UYV7CrKSyIo1/+8QMKkhNrY99cNxDMZHHvNCq43EHPMOt6eBmm3B+A7UR2xdt6u/VM7H2LqejXSeuAVZ3v5XSAf655Hz7Y1jYG/12H8BrwngrsUj76N2Bdar0TgZGGqCDcBX21Mwtk2O6tQ1r4odK/fF5NXg3BeLHwsbw1uzLbtzHcur/ZpXY+o6JgcXkfiYHByb37PL2R1qq526J1fJIzHYBm212/cXSd+LdPg8GO+9iFZdt8s57eovu7pucGxmIyuMXQZ8DRmwfxnwAtI/bIeG2GIM/BXAOwO5q9jWc7uvIYPWxqq/TmEHGXnvF4W30p+l5wKsWOlVAXZDZnGpbp+GTMt/o0/+s7WwDXR8ApjP8AX/TOTlzaKl7y2DdHbeLwK7gjL3LsjS3lWPkw2Kyk8AACAASURBVIHXIx1S7kJetKhg/fYY7l2RC/1V3uvVwP7AhsBM/72lkJdSq0fiv6SEXT2h+suxrmO59wUurfE4BLwYWWbtceTF9EdDsX57ML4B98f95zORWSZvRpYI2Rbp1DIVmZXhRmTpWg3sOpE6vkoabTX2nEmlrcZwB7frLrTVGG6tdh3bVmO5VeovobrWrL/Yun4/cg5UH34UyOCtbyAPCV8Wg/XbVbj9cbkf6UR2DXLuHgd8Fpl5bFFgSeRh50si8V9V5P46md2LKOfsJO5FLK9aXg3A7kMCua9Ufxr5rEnus3vy7rQRzWtYP7TVdwHX468TFe2zkWviM8gsfMFYvy2G+0PIy69DkM67FyKz+v4Qeb61HDILz3+Rgfqh2E39//d5Xx+v959fgXQQ/i3SGfkIYHIHsccgMyEewYIvhoPxyGpqNwJfBjaifkDATODlyMCqUOxgBPemyIQDVwEb+O1rIx3ev4HcE/0Zmbm59b2dkTb4E2TGpNWB6RXuhYG3AHuFcgN7ROoYDX+2x8+NxTbwuEuHsQshHQAm+WNzObCC37c0sjrIJ5FZk84BNvT72mE/gSyDe07Lv9+/C5Ljj/XffTV+UowSZjFgR///hWL3tuM44jiG6Gjh9w495mMc93G1kcj2MTkSH9qePoJ0iAnl/ghyPzLe+oit67r6S+V8jK3rPZHfkgv7fdORe4qtkQ5U1wPblDwGYWPxyO/e/yKDAH+E3INVJ8aZ4zk/FYGdGsG9VwT3Xp47+DrWQWxd7ovJqzF5cigSH5Mre3F97Oq5juXVfs2rsXWtlVc183uOOfsLJHC/pZxHYtp1TM75CNJ3pef3FzHYBtwx7TqmrcacB03uRVKpvxzrOjbn7ANcwMjO/+sgz33uBz7jt+0Rio3FN+Bu9fm6CDjF+1in8t1lkEFun1HCTo/UscA9oZX+KT0XYMVKrwryguFC/Cw1/iJVHiWyBjLieUstbAMdRwOHIS9u3gj8BhlF/QTy8ur1yE3kMzFY//9ocu+IPEBpzWLXWhq15XERZCTQDlrYBjqOAA5FHo68CFkW9S7kJuZfyPLiBwBP+O8G47WwmnWtfByTqOsG3G9Bzs1N2+SYSciL/11jsP6zJvdhwI9Kx6H1gPMp5MXtl5GXxA9rYRvoSKWtxupIpa2qtOsutNUY7lTaaiy3Sv2lUteJ5ZxNkNHeW9V59JgTkUFZwVhNbmT1jaORTlIzgQ/7fTcgP/J/gszCcL//XjBemTu7exHlvJrEvYjlVcurAdgkcp9mPovBaranxK6PqbQRzePYD211Da/7PaPo/iXwnRhsA+5vIC80pyHPtt6CrBjwT+S515+RTsl3xWBL/8/5wG41///CyLX/IWRZXTVsA+4LkQ7nNyED/s9FXqitAUz1mA8hA/6DsQ24zwD2qtE8A1np7QZf362O1ucgM8NfhOSDK4FvAm9CngUOeO5LYrgb6NDkjvGogvU6TgYObHPdWBe5/7sEmZktGOu3n+49/x55YXwpklt2QVYfmea13BqJteM48jjGcMceR5U2EnPMNdtTA27NcybH8zG2rk8ADq3RXSCD1H7teebEYBtwn4Jc6w9BOmtd6Ov0m0hHl0W87sdisP7/0+RWyWcx2AY6NPNZrtdHy6uWV3tV15p5VTO/Z5ezSautquSRGGwXck4qbVXlXkS5rcbqSKX+sqvrBty/AH5Z8jaEnxUYOX+/hgzEXzkG67dpcp+IDKj/tP/uuUiOOR6ZeGGu9zhfCxuro9qOrPRP6bkAK1Z6VZCZf28GvlTZXu4sfB4yg40KNlLHnsgLtH1L2wtk5MkHkZFAT/gLxtcisF9BXg6pcPv9iyOjB48Ali1/r/T32ciIRxVspI4vIiPJ9yjv8/tfhXTQfsh7/BIyMjEU/xUl7Jc061qRO5W6juX+EjKb1D+BvyAvtqfU5JkzYrH+bxVu5Cb27cjNYXW5t7WQF+O3eI9fVsIeEKnjgIj2pNlWY7GptNVY7iTaaiR3Km01ilv5XE+hrjXrr0ldT0N+CF8MvIea5bORB3EHxWA1uYFXIp1Tq/tXQe4LT2f43C0i8Zrcud2LaObsZO5FLK9aXg3gTiX3aeazYKxye0ri+hipQ7uNaB7Hfmirk5DO53chs++vD0yrfPfvSCfhYGwD7rWA9zJyGc1lkFlrflbyGIz126cgHaNPAGb4bYMseF3fFnmRuqYSdrVIHS9Dnue93W9/uff1MDKj+Z+RdnYl8PMI7GHIzEWh+MORDuVnUVoZrVLvmyH3Tesj91Bn4ZcVRdrd15F80JqRfS+kM9QPIrg3jNQxqMgd4/EnStjve8xeyIzdS7XRvSYyyG6zSOxiyHVpR79vWWRGpNOQmbnPQQYJ3OnbVCj2O3YcFzyOkTq+H3McFdvIlhHH/BDF9hTLfYhSfWjWteb5GFXXHrMjcAeVmeQq1+FLkUlqgrGR3Nsh9w6f9tuXRFZXOBL5jX4+cj/2kNcfiv0m0slEi1srn2leH7dAL59leX20vGp5tcd1rZVXo3J2JFYzr2pyJ9FWI7lj8ohmW03m/iIGG6kj5l5Es61GtWvNulbkTqWuY7m/iaz68ACwXsXbgP93NtIB9x0xWP9ZhRsZSH8ywxMtLITMkL4v8Adk4Ng5wNMMr3jWaexBkToOqmtDVvqj9FyAFSu9KsiI3d2Q2cpuBD4HLOb3LYbMEvwk8uNZBdtAx6LAi9r4GQK2Ql7oLB+D9dvUuP327ZCZgu5HZorbwPtbBVkC6vFSnahgY/DILEbLlY5RtdPIBpX6C8ZrYUvb3oHcuITUXzBWixsZNbp8RF0H4zW5/edNgCuQc/Q3yNJr6yHLsX4cmXl8lVisJjcyQGFx//cgpZF4fttKyOxMK2hhY3Wk0lYbYJNoqw24k2irMXgSaaux3H7bK5COBCH1p4KNwXuPcyLrLwivhS1tWwX4E3IOn4Z00HoL8oBlP+RBxMqxWC1u76vVEWaAkZ1hVkHuH1co1UMQXpNbM6/mmLNjsLE6LK9aXg2svxjunuc+zXwWg+1Ce0ri+phKG+nCcVwd6cD5INLZd7T2F4MdBGaPUn9V3R3HlrYthHReuQbp9PEt5FnTDsjM/ffhXyTFYBtwt16YFK2/SzyrAs8BK8ZgW96RGfjuQGYRnlHGl9rrY8gLVRVspI6NkEHaW1X2T0I6Nf8VeBa5rr88ArsCco8Rg98Y6QR0CLKCQ7Uz/ApI7loeWALJWVvWeNsUmRnnoYbcwVj/WYU70uMGSthWXp2HdFD4PfA65F61vCrIishLvBUjsTORQSmvq9GyPvIS8UqvZV4E1o7jyHMg9pwJPo6KbWTNyGOu2Z5iuJdXqg/Nul5Rsf6i6tpvXwbpOHoRMrPZ6pSWl0auv08j17JgbCT3qsh98xY1uldDlo/+q9e9UgR2eeSeSYVbOZ9p5dX10ctnWV4fLa9aXu1xXWvl1aicHYlVy6vK3Em01UjumDyi2VaTub+IwUbqiLkX0WyrTe5FUqi/GO5U6jqWe3mk0+2JyAD+A5H3KlNL31kDWZl+5Ris/6zJPY+aFQD9MXsrMsFPOVd2HBuro4qx0j+l5wKsWOl18RfKnwD3Ii/ibkCm/78dvwSmNrYhfoiRDyL2B24fD1aTG1mSam9kycr5yOi7a5AXPft3A9sE36aO9gfuiWhnwfhOYJGZofYDrguov2BsF7jbtafa+ojBK3O/B3lx+wJwDzL44BbgE+PBanNXvjuAvCjeH3igF9ix8Km01VgdibVVlXad0nmQQlttgkVmkjs7sP5UsA24ByI9BuO1sB7zOqQj0n+Q+61bkXN4+/FgtblL32t12tkfeCigrQbjO8lNpvci/jtaeTWJe5Em+JhzrAlWgxvLq+PBJpf7/HdV8lkIVrmNpHJ9TKKNKB/H1wJ/DGyrwdjE2urGyIxIF/tyu2+PbxgPtgm+je5Hm2KRZzlfQToy34CskrAGsozkK5HZda7QxDbgXozhzud1A5G+wfDS58HYBtwDyEvEB5EO5ochHa9fgryM/nmFeyb+BRi+03yFe3/g0tL+nZFz5f7RuGOwXeCexYKzZI/mUQVb2rYlMiPSA0je2dlr/hgyw9N5DbGTWv+/bwN195WXNcDacawcxwb44OOo1UZijrlme2qI39p7fBAZGDVafQRjNbmRGfrHyquXaWJL29b3+q5HVss8CFk5dG9k+fd/NsE2wZeOeXXg0v7A5ePBanCjlM9isA241fKZFlYz91letbzaSWxDvFpe1cJq5lVN7pj2lMp5ENOeGrS9LO8vYrBN23ZM29M8D0KxwIu9xxuRGYNHq79grBY38nyxdU1q157K524wXpPbf14KmW35AuT512+QZz7fRvpx/bUJVpu74reuTV3dLWwTvJX+KT0XYMVKrwqy5PJqpc/LILPmfBE4GPlxP1kT24B7EqXZikrfGfTl8wwvJRCM7QL3AKULPrLkwtrIchG7IJ21BzSxTbhHaTsFMpPQlmXuULwidpJvPxtVcOsAOwG7tjzGYDW5PXZpYIM27WmgxmMQXpO7tG1SBTcbmUltS0rL+8Rgu8Ddtk35/ZvjRxdqYWPwibXVWB09b6ua7Tqx86DnbbUBdhryg/51lB4ae4/vRFYrWEoT25B7Q+TcrD7oHkSuS1WPQXgtbGV79eHDkOdYB1ioCVaTm5qOJ5XvrQK8tAlei5sM70VK3B3PqzHYWB2lbZZXLa92JFeSSO6LyTnKWO020vPrY2JtROs4LozM2rEdC85GPIR0SF6vpSMGW8Jv47+zAqWZdkv117o+qmDHqOtBr3lxFnwGFYxtyD3asZkKrBWLrdm3MvADZBDSC8iAgPuQWby36Aa2IX6IBZ9RTQduAvYZDzYGj9xr7I6stjDfYx5AluTcqI678v0BpMP2zfilPUv7JiOrxl05FncMVpvbf6cI8aiJ9ZjtgTOQySyu8u3pCGrOhRhsm+M4HRmI8cWmWDuObY9jDHfUcexGG4lpH51sT03wwLuQJcvvC6iPYKw2dzfqLwSL/Ab8JbL89YXAbUhHk7r3PsHYJvjy+YPco94GHNApbKe5UcpnMdiGeM18luX1UZO7ybmrca7H4LG82s26VsurWti6c5k8cnYybbVp2+5lW43FptJWm7btXrbVWCzyrOoopBPrRWPUXzBWm7vSnmLqOhjfaW5kVuMDgeOQZz5XIc9WlhoPVpu7pk1NBc4BPt8LbBO8lYldei7AipVuF+TF2FHIzDjnIjOLHUj9jaYKdpzc53jsN4H1K7gpkdhCmXtqnfc29aGC7QQ3NS/R8J09YvBaWP/vpsBJyEOpfyMvzH4JvLzmO8FYTe422F8Dm1Rwg7F4Ze7ZNV4GqelQE4ONxXeIu65NDWhhG+hIua3G6uhFW1Vp1z1qqzHcvWirsdxbIcsl3YrMvPgscCqwXc13VLAd4j4FeFsEdy1eC+vxS9Rsm0yl02YsVpO7DXa0AUzBeGXu7O5FRsF3Iq8mcS/i91leXfA7llfHPs+7nvtGwY87n8Vge9RGenF9TLmNdOo4vhe4FHnZ8CDSofRyZIB1tVNuMLYN/nnkpcyngendwHr8MiF1jTyfCcZ2iLu2Q3IMtoKZjQzof3Hle+sDH0FeRk7TxDbk3hBYr6bOBvz+3ZEXNcHYWG6/fYiRHc+XQGb6WpeR58Ro59YUZDawKcCyyKQLW1Qwc5EBUesxPAlDMDYW35D7zVSWJy3VX9Vjx7GlfXXHZiHkReSSLDgQJhg71nH0+8uTZARh7TiOPI4N8LHHUaWNxLQPrfYUyd16N7GLbw/LlvYvjAyyWpLhgZ5B2Nb/3wXujyM5dwVK13SGByOVPXYaW67rujYyA1nGe4FBYTHYBtxjDVxaguH3HsFYTW6U8lkMtiG3Sj7Two7Rnjp1fbS8anl13Hk1UkfrOGrmVc38nlPOntywPaVyHvS6rSZ1fxGDbcDd67YahfXH5tVIX6KP+/Yzo+RxzdLxCcb6bSrcJexXkRWftgBWpHJtq/EYgp+hyN06NnXtaSqwuP97rLb6P2wsfpzcY7WpRVt8WtgmeCv9WXouwIqVbhdkucY/I8sR7Af8EBnxcx3wPWBpbWyHuM8DrvXYJZtgu8D9VWRWoJUoPWzw+wp/gZ2uie0kd+k700vfjcFrYQtkKdYjkRdk7wH2QTrCP4J0flm39L1gbCx+nNi9kY7wDwMnAmuOoaMtXpn758BnkIdSC9e0p0FgViy2l9wlzJjc48QWkfhU22qsjl61VZV2nct50OW2Gst9D7KKwjb+O+9FlhR8BrgaeI021v87Xu4TPPZKRr4oCcZrYT3+VGRppLdTM+O8b08LN8AWitxtsaX/O0hHDV6TO7t7EeW8msS9iOVVy6sB2FRyn2Y+i8193W4jvbg+Jt9GOnAcH0Ry6SZIJ4nNgMOBh5Cls3fweqKwnn80/L3AuwO5G2O9jmuQa9snqcxcU6rrxRpgiw5yF740wbZ87oS02WuQTvZ3+LYwr6YdaGGLDnD/sIpFXpwFYxtwL1LjY7RBTovUea/ZNog8F3wIyXWPA08gs/xsVoMPxsbiO8D9OPA7KoPENLEeX5cfp1Dzwi4GW4dvfacDWDuO4+Me13HsVBuJOeaa7akB9w98XV8JPAo8hwy+et94sD3gfhY4Hdi+W1iPXymkjSDXiWBsB7iLUY55DFabWyWfxWA7wN3JfDYhro+d4q5iW/g6DbF4ZW7Lqw2xDbi7mVc183sOOTvlthrD3au2msT9RQfaaqfuRTTbaqyO3yDPpy7w/76APBPYj5F9X4KxsfhxYp9HVnvam9K7i1E8jobX5F6jTXsarKm7YGwPuFvPf+qe6Whhi1h8nRcr/VN6LsCKlW4W5CXTTZRm7AJmISPB9vX7foKMOFPB9oMOv++dyDJUDyEX//2R0UpzWxdSZPTP0cCnlLAvUtQxL5L700rYechLy1tYcNafScgLzvcgP4D+4I9XMNbvU+FORUcD7u38sbnWH5sfAx9CZiRqzVw0GfgHshxbKHaDTLk1deyleBxTaU9JcEceF2ur4+d+hz821YclU5DOKb8H/oWM5FXB+u3ZcTfQsa0/Nmf6Y/Nn4EvAaxg+r4aA65FOraHYTRW5U9ERy/1FMst9GV87UsnZllcnRl6NOc9TyjmaeTXH46ipI5U2Ensc34p05Kx74L8s0rnzSmS2oGCs36bC3VDHc0hH89aym79Alqpe1GMGgKeQ63Qo9rWK3FE6/Oftkfa6FzIz3zuAr/m6uA8ZPL+QJrZD3AciL8PuBb4DzIzFNuB+NXA8MhhqA0bO6D2APFuaEYgvkOvvDOT+5Cbgw8BLfdkZyR3PA39iuK0GY2PxHeLeqYQ/AVhOE+vxb0SWJf6q/7s6oGwQWY52dgw2kLtgeFbvGKwdx5HHMYa708exURuJOeaa7akB9/uAG5GBVisAc/x3jkMGW10CbOi/F4yNxStwX4RfuVIL6/HbAA8AvwI+AMypaSMzkNkeg7EK3APIMvNR2EAd4+FWyWcx2A5xdyqfTdTro+VVy6sxeTWGu5d5VTO/J5ezA45LSm01hrtbbTWJ+4sYrOa9iHJbjdXxfn9sXsHw7/e1gEORjuV3AK+LxWpyB2BvZ/i5TxGJ1+R+B/L88SxgD0r3KaX2NBOZiTwYmwD3QAR3U2wRiy/vs9KfpecCrFjpZkEe6P+lXQJEbhDuAzbSwvaDDv/5Z8ARyMX/cOTFycPAycAnkJcfH0RG56lgNXUk5rH1kGfEErF+/xbA3cCbYrCa3KnoaMD9I2TGv5chowXPRWYePx34BrKsz67Ij7dgrP9/suNW1pFEG0lFh7LHJNpTxm01lvvdwMWUluupHJsNgJuRBxUqWE0diXn8AfLQZwNgR2QU9Xn+GB2DDBDaA3g6BqvJnYqOBtzZ5b6Mrx1J5LNUdCSWc7LjJt+co6kjx+OoqSPX47glMovbaiVfAwwPAF4F6eC5RwxWk7uBjkOA3yIvWd6IdFo9CXnxeTbScfVLSOffYKwmd6wOr+V04OBKG52CLOn6eeT6sI8mVoH7xibYBtx/QzqI/xvp7H8I8C5kcH+rXb0W+GcsHpnx/Fs1+WM2Mgv6JcB3/bZgbCw+Fe4GOv4PedZ3BpLLjgP2BF7O8Ezab0I6pwdjNblTqevEjmMMdyrHMQkdDbhPrNR9ecnjDZHc+Bv/ORgbi0+Fu4GOPyGDQU9A7gHPAw5DBr5M8Zi3IDPkBWM1uVPRkXHOSYK7gY5Uck52Oiyvdj2vxnAnkc9S0aHsMYn2lHFbTeL+IpX2lJjHY4HDSnU/WPp7EWTg8alIJ9ZgrCZ3KjoacB/vj8dPkWdwdyLX1/czvPL5lsjAq2Cs/zs7bk0drWNgpb9LzwVYsdLNAmyMvOzak8r0/n5/gTyU30cL2yc6hoCDgG9UMFshN2GPAbcho5Z+pYT9paIOTe4oHX7fPGT5r0OB5ahfUuEUZGR1MFaTOxUdkdwHIu37kMq+VyCzXV0BXIWcJ0dHYI9CboJz49bUcVQqbSQVHYrcMe1asz1pcqei4yi/b2lkyaETkVGkI5Z5QpaS/5YWVlNHKh6RDj67Ad+v7F8fuZf5E3AOMtr3yEisJncqOmK5c8t9uV47UsnZllcnTl7NNeeoYDM+jpo6cj2Os5EOpBcCr6R+1uLfIXklGKvJHYktkJnqDq/sXxlZHet7yHVjPvKSIAaryR2M9fsGkQ7OB1frovT9/ZAXfMspYZfJVMeqwKXAe5Hned/2n69DBsPvj3RY+Qfy8m5GJP7H+OtwGx07Ix3w14zAroHkkdy4Y3VMR87zjyA5+DPIShoXILMQ/Rz4GNIx/PcR2GOVuVOo65SOY4yODRI5jim1pxjuY4GDgf+r1O8gw50QtkVWWdgkEltkyh2DnY4M8NoVWAlZ+eYQZJDKZUjno68g73X+EIE9TpE7FR3HkWfOSYW7H66PqeiwvNrdvBqj41Wkkc9Syqua3Km0pxzbair3Fym1pyQ8+rrfCzgfP/jEb5vMcOfmzf2xeWMMVpM7FR2R3G8BTgM+i6w6tzHwSd8ebkQG/ByFXFt/H4E9DlmZITduTR3Htbs/tNJfpecCrFjpdgG+gCyzeTgya9fs0gVpBeARYBNN7ETXgTzkWAN4id83uXIMpiEzv8wHXqyE3VBRhyZ3lI7S9u2RhzvHMjwDzmJ+37pIB+dNYrGa3KnoiMEjS+Cs5rdPqhybKcBHS8cxGOu3ZcetqSOlNpKKDi1uzeOYCncqOkrbN0N+IJ+MdLR5DbCi3/cqFrz2qmBz5Y7ETgKW9H9Xl72fxPDyRC+JwWpyp6IjljvH3JfrtYNE8lkqOlLKOTlyk2nO0dRRqr8LkM6TIXUdhNXk1tKBPMBv1V/1fKw7jsF4LWxp+6rIDCnnIjO3fwBY2+97F7KK0SaxWE3uBjpaz2MGK3UyCLze18lLY7Ga3A107ITM6rIjNbOCA8sjHfDX1MJmquM1yAxN76vU8dbAL5BZlK/x9f0y/70Y/Nv9318GVq7RsRiyxO26MVj/OTvuSOxcZEDIh0v7B5DBWV9B8vKlnu+NEdiXKnMnUdepHMdIHa9K5Dim1J5iuF/q63A+0uFu/Zq6ngE8iHQOD8b6z9lxR2IXRdrozqX9BbA20rHxp8h9x3zg1RHYlyhyp6KjdX+bW85JhjsSm0rOsbyaaO5LJa9G6nglaeSzZPKqMncS7SnTtprK/UVK7SkJj37/+siEdicDr6g5NlOAh7zuYKwmdyo6Irk3RzrbfqyyfxngdcC+SIfy+cj1NRT7YmBWhtyaOl5cPQ5W+rP0XIAVK90q+FmDkJdZuwI3Af9FfqT9EJmV59/IcpQq2H7QUVPvBX6WOGRW4tZIvA8Aj3cDmyt3JHYAeQDUmlnqWmTZhYuR5XyPaYLV5E5FRxN85buDDJ8jOwJPdAKbK3cndJQ+DwHvRJYHno/M7jTiuMTgtbCaOrS52xyXocjjGIxPhbtXOvC5HdgCWc78NmTG0DOBu/3nH2lic+WO1dHm2AwwfG3dGXiyE1hN7lR0tMOTae7T4tbUkVo+S0UHieScXLlzyzma2FIbG/D19yvgduBKZFaq/9VfDFaTuxs6xjgfR9RfCF4LWz7G/t91kRWMzgIuQn7nPYMMxD44FqvJ3UBH3Wz85WcIHwYejsVqcsfqKB3nb/l6+DGy+tRqwEzkpdJngbs1sTnqQM7xFYBF/feqg+FnA78Gbi7lhGC837YbcDkyW84nkQ4ZiyMvqb4C3NEEmyt3JHY6MKN1TCv6piM5+NZYbBe4d0PuKY6PqOsgfCrcWjqQDh6tuq4OvKmr62C8FjYlbr9tW2R54dOQWeC3R/LWMsj7iVuaYHPlbqBjUptzfRJyXbmjCVaTOxUdOeaclLgjsUnknBx1NMRnl/s0uZV1JJHPUtGh7HFbZHD26RHHMQifCncqOirHpm5gebvj2FFsrtwNdLwM+Dvy/O4PyG//dZCOor8Erm+C1eRORUcD7tYzqupA+wI4gAWf0QRjc+XW1GHFSquxWFj0RRRFMdU590zp8+bILDUvQR72XwD83jl3rxa2H3TUcfttA865+UVRDCCjx3DO7auF1dSRikf/2blSMi+KYkXgPcBaSAeXa5Dlfp8MxTrnHtfiTkVHA+6ngPllbDmKoiiQ2a9nIMcoCOuc278oisHcuDV1ePxCzrlHS/uXB96H/IC4kdJx9PuD8VpYTR3d9DjacanTMRo+Fe6EdIw4D4qiWBrpaLAicAeSd04DnAbWOfe8lg5N7k7oqEZRFDshM7keGIp1zn1ZizsVHbHcHp9d7tPk7qaOyjGxvEo6OSd17jpsTX0nl3NiuGN1+M9znHP3lfYvidTfqow8NsFYTe5u6CiKYirwfItjrPoLwSti686ZxZEZo5cA/oM8HL8gBuv3qXA30DEEvDBG2343sCQya24Q1jn3DCC1OwAAIABJREFUfS3uWB3+c+s5yELA+4FPIO30MuBe5IXTrUjni59pYJ1zR+Sowzl3hK/DolXn/ho62DoORVFcCpztnPtE6RgE4/35+BZkINEawH3IbOhrIM8ID3PO/SYWmyt3rI5qFKXnU0VRXAn8q3xsmmI7wQ180n+eDmzpPa6NzOY9CZhX9thqRyF4ZFBez7k1dZTayGjn14jjEoPXwqbCXdr3CuDdwHrIQIvlkWvMP4BDnXN/jMFW/t9suGOxddfe1jXF/30u0l4/HYp1zn1KizsVHWXunHJOKtyxOkrHouc5J1cdMfgcc58mt5YO4E8p5LMYbLfyqga3/zyE/C7aAZlNfABYlprjGItPhTsVHTXHpZpzFjg23cDmyj0Wthh+FrA28GZgI2A5ZNWmKcCfgcOdc3+LwWpyp6Ijhhvp0Ew171Suraciq2TuHop1zn3GH+OsuDV1OOc+g4UFWIdli/6IoijmAtsBGzL8oPh3zrlzSpipzrlntLD9oKOG+0XICNPjnXPnlvAFsBAyinobBexTyFIdGjo0uaN0OOeeK20fQGbaecE59wKjRAxWkzsVHQ24WzNAzW+3v3TjFYzNlVtBx6rIqN1XASsBFyI/Fk5wzj3pMeUHEsF4Laymji56XBFZZuhE4HRX6sRSOm6rROBT4U5FR/U8GEQeQDzf7lzQxubK3UDHAECnsZrcqegIweeY+zS5u6hjRSyvWl7tHDabnKOJLYpifaQD4JbAUshqQqcCf3TOXdMUq8ndRR1zkZl+/4a8oLq0+pspBq+FrfGb4/nY5D6nGK0emmA1uSOxk4CZzrmHS9vWRVYkWBgZPP8v5EXKoAbWX4Nz1THDOfdIm7qdhbyQ29c5d6vnDsIjAxuqHexXB14DTENmab/IOXdbUd8Zvxbr9wXjU+FuomOM3DUVmVGrNatWENYfRxVuZHncGc65e0r7V0aWdZ2JdJQve5wdio/BanJ3QwfSiX068kx3ful71eMYjG8dm05jNXU04K7LOcsjz88HkKXJr3bO/afN+ViL9fuC8alwN9Ax5CoDvcpRFMUUYC/gSODeUKxz7k4t7lR0eO5sc06vuZvqoPc5x/JqgrlPk1tZR3B+6qO8quVxPvKO/XFk9aVHi6JYAul0OxU5Llc55x7y3106FB+D1eRORUeJeyayGtSAP1blSe+qx6bjWN+eVHRocjfQMeKc8cdmZWQ19OeAm5xzT8dg/T4V7lR0dIK78r1JwEeB3wP/CcU6mYAhO25NHa7yrseij8O53k/zbMWKdgH+giyr/EdkdO/lwPPA9UhiHPK4AS1sP+how32Zx18LfJDS9P9a2Fy5G+jYFVnGd1pl+yRGLiESjNXkTkVHB7lbL1sbYXPlVtbxL+AS4PvAPsiIxmeQGaO+wMicE4zXwmrq6JHHu4A98DknQMcIfCrcqejw/x4IvB2YFZBzVLC5cndQxyAjc04wVpM7FR0NuLPLfT3Kq5o6LK+mm3OS5R4Fm3rO0dRxMfBPZEnA9wLHAI/58gOGl9YdiMFqcvdIx8PAd0rYSWNwj8BrYf2/Pwd2AhapHN/JJUwRi9Xk7qCOodaxboLV5I7V4fe9Efgd8jzkFuAoYOtuYieIjpuAnyKzqM/oBL5y/CZTn1OrOTkYmyt3Ax0D7dr/eLCd5kZmV/sbMtP7Q8ApyOzey4wXnwp3F3U8CJwE7AK8KIB7VLwWNiXuLp6P2XE30DFIeF4Ixmpy91rHOM71VHJOrnk1i3yWio4m+NL3sst9mtzKOiyvKnL79n4x8gzxCeAs4OvAZuPFp8Kdio4a/GPIM5uDgNcDU7qBzZU7Vkflu0PA5MBzJhiryZ2Kjgbcg1T65HQCmyu3pg4rVnouwIoV7QK8GngAWNZ/norMULsJ8hD+ZmB3TWw/6DCPXfe4GTIK7wzgV8BuwHqVtj8F+CIya3ModilF7lR0pOJxaUUdmtyaOrZDzoPqi+ylgf2RDkuHMdxh6VWheC2spg7zOKE8ts6DS4EzkdksXln57jSkk962StjlFXVocqeiwzyOxL+LPM/Hfsg5/eDRzkfz2EkdWyDtb2oZ43E7IrNj/hWZbSYY67epcKeiIzGPrfZ0PXA7cBywTc1x/xnS+TkUu6Yidyo6kvFYOpbXITOA7wLsB5wPvAD8G9i+9F0V7ATVcRXwjgjuBfDAOsi1+LX4QVWlfZPL22KwuXJ3WMcCg2lisJrcwObIDJi/AN4EfADJu88CdwO7Vb4fjE+Fu4c67gB2LWEHIvGvVMJq6ojlfinS6W47Rg6+q56PLwnFxuJT4e6wjiEWPNeDsZrcqeiYoDkn17yaaj5LRYfl1XTyagx3v+ZVLY9bIM8MD0ZWiX4T8k79emRCiK9Xjk0wPhXuVHQE4O9CJg9ocb9KCTugqEOTO1bHpsgkgh+h0tEWn3OAAlg8Elsocqeio5PcQ/54tLCviMAOZsqtqcM6MltZoPRcgBUr2gU4ADitzb7ZyOxlTyDLtahg+0GHeey6x+8A5wBfRn64XQicDvwYWTJ3ReBlyIvBH0ZgZypyp6LDPKbrcR/gPPxMzFRGTiMvux8FXu0/fy4Ur4XV1GEeJ5THbyDtfmfkHPonMov+KcDewNrARsh58B0l7CxFHZrcqegwjyPxXyDP87Efck4/eLTz0Tx2UsfOfv8c376mUHrAirw0vg94WwzWf1bhTkVHYh6/6o/xNkhOOQl5eX89cCiwMfKSfj7S9kKxsxS5U9GRjEd/LI8Hfto61qVjPg/4CfIy7/2a2H7Q0YD7aOBp5Df935HnWBtWvvdy5Ld+DLbIlDsVHZrcxwI/qWkf0/33/gPsV9oejE+FOxUd5rGW+2hkiebrkdnfj2DkALRNgN8iHfVCsYOZcqeio1882vloHpPX0YA7x7zQLznHPDbnPgb4cc05MAl5pnA/cGRp+29C8TFYTe5UdJjHrns8GhlIfA+yGvfJwJsr393Ub/9FBHZIkTsVHeYxXY8LDAayYqXnAqxY0S7IbCEPAG9ss38ImUnkM1rYftBhHrvu8ZfA9/3fk5ElPL8NnIa8dDgJuBFZCioYq8mdig7zmLTHNZHz4D2V9l8eMf0n4Ev+72C8FlZTh3mcUB5/xvCDiQFkloBPIj/8zgUu8Hz/p4XV1GEe+9ZjrudjP+ScfvBo56N57KSOZZHZp3avtL//zTSJvAg+JAaryZ2KjsQ8fgc4iuEZaVYCtga+hqz2civwX+AvMVhN7lR0pOTRY04DvlL6PIQfxIKsRvVz4BJgSS1sP+howH2JP267IHn2bGQm+z8BuyIz1h8OXBOD9f9Xdtyp6FD2+Efg8FL7mEJpljtkYPrVwIr+czA+Fe5UdJjHWu5zkZVWtkJ+L5yO3BdcgQyyeREy8OWqGKz/f7LjTkVHH3m089E8Jq/D8uqEyjnmsbnHo5BVfKb6/2cqC84IvCNwLbCW/xyMT4U7FR3msese/4VMurCO33cyMvD0MeBIYD3gB8h5EYzV5E5Fh3lM12OrvVux0io9F2DFinZBlpb8BdIhbi/gxcCM0v6FgTuRZWNVsP2gwzx23ePawJtq2vuSwPbIje98YMsYrCZ3KjrMY9IeB5HOzP9BZnPaElis9J25yIOJ7fznYLwWVlOHeZxQHucCW9ScBwshS0F9meHzQAWrqcM89q3H1nnwEOHnzJjYyvmYDXcqOvrIo52P5rFT2FbH1z2RFW3+DnwYWLr0vZV9+3tHDFaTOxUdqXj0n2cCG9cc92nIoIiPlI57MFaTOxUdKXn0+3ZDlp9dvfKdVntbDnl2sqEWth90RHJvg7yE+rDfPgtZJnRPZODABcBF/ljuHIHdBlgtQ+5UdGhzvwf5zbtJpX0M+n8XBW4BXu4/B+NT4U5Fh3kcgX8bMsHBx/32qUjnpHcC30MmQLgDaasficC+Bem0lxt3Kjr6wqOdj+YxFx2WVydGzjGP4+Z+A/Ag8M7KOdAaMDsDuB0/Q3MMPhXuVHSYx+55BJZGZhbfqZXTgUWQ1an2Qs6DZ5Hz4AMR2K0VuVPRYR7T9bh1ue1bseKcsw7LVvqjIA/YD0OWDzkfWRZ2X2S0x5+B67Sx/aDDPHbdY+smdoDSLDh+29bAo02wmtyp6DCPSXucgiwVfAZyI3sCMgLvEGTmn0sq3MF4LWyu3Kno6BePlf9ngAVnDd0aeKKb2Fy5U9FhHv/3eTrwWeAs4OIxzplgbK7cqeiY6B4ptclSOx2ipq1qYTV1mMfueqxg3wYcj8w+eSHSSfaXyKw9ZzTFanKnoiMlj6XvVdvCW4BnxovV5E5FR689AksgK/DcBBwIbA7MKu3fFnhcE9sPOhpwr0qlY7PfPgd4EzLD3yOx2Fy5U9GhxQ0UyICDY4CHkSWM3w4s7PEDyCD0VvsIxqfCnYoO89gWPwdYuaatzkJm6foxw+06GJsrdyo6+sFjpa0+Mlpb1cJq6jCP/ekx1/OxH3KOeWzOjZwDU5Hnhv9FZmbeGT8BArA4MvD5sdI5E4RPhTsVHeaxux79tsWA5WrOgyHkd/yXGT5ngrGa3KnoMI/perRipVpasyVYWPRFFEWxLvBeYBMkSS4CnIMsIXplN7D9oMM8dtdj5bsFcuN7PDDbOffaTmA1uVPRocmdig5N7k7rKIpiHvBmYH3kHFgK6ZxwuHPulhq+YLwWNlfuVHT0i8ea/2sAGayyqHPunb3A5sqdig5N7lR0jIUvimJ5pAPgxsgDtjm0P2eCsblyp6KjXzxWvtu6vxizbWthc+VORYcmdwi2KIrlgE2R5RqX9eVk4JfOufubYjW5U9GRkscaXQWylOwc59xOncJqcqeiQ5N7NGxRFKsCuyCzCz2PrDj1FDLr0DzgJOfcHprYftDRBO+/MwgUzrnnS9v+CDzpnHtPU2yu3Kno0OAuimIW8EFkSe45yMxIjyIzJ80BfuucO6D0/WB8Ktyp6DCP9fjS9wrnhl9m+rb6rHPuXePB5sqdio6J7LEoihnAh5AZ55dErpHtzgMVbK7cqegwj+3z6ij3ACPOmRhsrtyp6DCPzbmLongzsAOwAdJB7j7kXJgCHOGc+1aFNxifCncqOsxjdz22C38evOCce3snsZrcqejQ5E5Fhya3pg6L/gvrsGwxYaMoiinAuvjZQIArgIucc/f6/S8CbgWeAyZrYJ1zbqLrMI898/g25KHD1cjynHc4554simLAOTe/KIrWqKVlA7ELITOSaXCnosM8putxIefcf/zDhwHn3H8pRVEUSzjnHqASMXgtbK7cqejoM4/OOTe/uq+0f5Zz7hEtrKYO89h3Hucis1lsj8xmcR0yG+5Fzrn/ls+DoihmIjP1jYmNxafCnYqOPvX4EHADsjrJlc65e0q4alvtJHYW8iBZQ4cmdyo6kvFYyn1DAK70Asxvn+Kce7ayLRiryZ2KjgQ9zh/lGjYAzHDOPR6D1eRORUdKHmv2r4kMYlkTWdJ6GvAd4HTn3FPdwPaDjib40vcGkIGbFwDvd86d3Qlsrtyp6Og0dyHPJ18OrIQ8G5qKrAx3sXPuuRq+YHwq3KnoMI/1+Mp3Fwb+AOzpnLuwU9hcuVPRocndCx2te86iKOYiv13WQlbInEKlrWphc+VORYd5rOWeVb3v9vcAs6mcBzHYXLlT0WEem3MXxfAAlKIolkJ+yyyP3F9MBX4G3OCce8FjgvGpcKeiwzx21+NoUcjz8R8A33POXdYprCZ3Kjo0uVPRocmtqcOiP8M6LFtM2CiK4vtIJ9B7kAftKwL3An8CDnbO3aaN7Qcd5rHnHlcA7kaWbPyuc+7mJlhN7lR0mMekPb7YOXdx5fuTkU5zC3QIjcVrYXPlTkVHn3scRDptuG5gc+VORYd5rOU+GnkBcgOS35dFlja7DDjUOfevJthcuVPR0eceH/b4nzjnTtfG5sqdio7EPG7mnDursm2B63pRFEPOuedjsJrcqejIwOMCnWSL4cGSwVhN7lR0pOTRf14OWQZ1I+AWZNDrOc65y/19yTTn3BOa2H7QMQ7ulwI3IYOLrgaucM49XBTy4rWQF1GLhGKdc0/kyJ2KDm1uf+xHDBypOW/LL95HxcdgNblT0WEeg7hHG/Ay3fnBFCFY4OkcuVPR0Q8enXNPFUWxBrA7Muvhzcg18mzgDOcHO5a+o4LNlTsVHeZxTO4bgduR38hnOufuKOGmIe8ng7DOuadz5E5Fh3kcP3fp8wKz5o8VMfhUuFPRocmdig5N7lgdY3DVDuYfL1aTOxUdmtyp6NDk1tRh0YfhnLNiZcIVZFTSY8DrgcX8tiWAvZAfbk8DOwGFFrYfdJjHJD1+LIK7hY3F56jDPKbrcTVk+cergEOADSr5vEBmIt/I/xuDX1MJq6nDPPaXx0kR3E2wmjrMY396XA9ZEWJjYNDvXwj4KHA+8AJwALLs5JoR2CISnwp3KjrM4zB+f49fSwk7oKhDkzsVHSl5nIfkvseB3wKbVnLfADIj1dbAphHYOYrcqejIyWPr/iyEu4zV5E5FRzIe/baVgEuAfwNH+7/vQjpU/hhYsfR9FWw/6OgQ953I6mCHAas0webKnYoOZY9LAK9sk3uHSufwYCw+Fe5UdJjHYO4CGMI/H/fborCj6EiaOxUdfeRxFWQwxxnAQcAJwHnA5cDvgdeWvqOCzZU7FR3mMZj7XORe4Fjg9U2wuXKnosM8jtvjHOB9wKKV/2+A4ffpg8CUWHwq3KnoMI9peKwWZEbmYKwmdyo6zGO6Hv2/xWg4K/1bei7AihWNAuyDjCRtfR6q7P8acC2wtBa2H3SYR/OYiw7zmLTHLyKz4H0HOAd5UXoesAewnMcvg7zwXjYS/y0lrKYO82gec9FhHvvT4/7AWaV8PrmS33cG7gBWBz4divWfg/GpcKeiwzyax1x0JOZxH+BSYG/gTOB5ZKWbb+E7bgFLIrnv4Ajscorcqegwj+axozr85x8BJwJzS+ft8sCewG3Ag8A2mth+0KHA/UATbK7cqehQ9ngocm7e6/9es3I9HfTffYf/OwZ/WCLcqegwj/HcAw2xQwE6UuRORUe/eDwcyZWzSpg5wAeRDnRPATv67SrYXLlT0WEeG3E/2QSbK3cqOszjuD3+AMnvDwHHAVviO3yWvrs88Dmk02gM/tBEuFPRYR7NYy46zGO6HhfYbsVKufRcgBUrGgV4G9LxYtXStiGGR3G0ZpbYTQvbDzrMo3nMRYd5TNrjr4HvAXORmfE+AByBzPRzJ/KQ4iTgav/dYLwWVlOHeTSPuegwj33r8VVIh7/XVPL7NP/3YsBZSMfmYKz/nB13KjrMo3nMRUdiHg8Ffggs6svmyKC6fyMPXK8ATkNyXzBWkzsVHebRPHZah9dyJvA5//ckRg56PQb4K9K5SAtb9IEO82gex8JegHTy2x+ZqXE+siT3PvjZk4D9gJv938H4VLhT0WEezWMuOvrI4/8BX/J/D+JnXi7lym8jg7una2E1dZhH85iLDvNoHgOw5yKzMH8I+DvwLHA30oFuQ4//CnCj/zsYnwp3KjrMo3nMRYd5TNdjOZdbsVItPRdgxYpGQV5G/huZwfOd1IzcQB5S7KSF7Qcd5tE85qLDPCbr8ePADsDelX2LAi8HPoEs9zQf2BHpdBKK/6gSVlOHeTSPuegwj/3pcUdkeai/Afcgs5VOq8nvlwG7xmD939lxp6LDPJrHXHSk4hF5+bUlsEtl/2Rk9oc3Az9Fct+HI7AfUuRORYd5NI8d1VHafwByjpZn1JrE8KCDzYCbgI21sP2gwzyaxzGwbwVOQWayG0BWWXkDMgjhduS8PRuZRekzwAoR+C8nwp2KDvNoHnPR0RcefS78lN83r3L/Mtn/vSZwCzJQUgWrqcM8msdcdJhH8zgGdjtkNs+P+e1DwDxk5ZDLgBeAK5EZmT+FrPIait8vEe5UdJhH85iLDvOYrsdPtXK6FSt1pecCrFjRKj5Z/g64BjgV+CrwamS52O8hy93N0MT2gw7zaB5z0WEe0/VY+s6kmly+LfIQeXrNvmC8FjZX7lR0mEfzmIsO8ziMB6YBhyAPka8DjvaY1yOzs93RBJsrdyo6zKN5zEVHSh5LegZqtr2B+rwajNXkTkWHeTSPncICL0ZmY7kEeEvNd+YBzyAzaqlg+0GHeTSPY2DnIKutvLKyfxqwCjIg/Z/A837b7Aj8kolwp6LDPJrHXHT0hUe/byXgUqRD3IdrcuXawHNIXlXBauowj+YxFx3m0TyOgV0c2Bp4WQ1mOrARMvlG69oxIwK/WCLcqegwj+YxFx3mMV2PIyYUsWKlXHouwIoVzeIT7AeAXwHnAP9BXoqcDry7G9h+0GEezWMuOsxjWh6peXntvzcEFP7vbwH/9H8H47WwmjrMo3nMRYd57E+P/u9B/+9M4I3AgcA/gIeBx4A/AG+KxebKnYoO82gec9GRikegoE3+K+k8AJmVLRiryZ2KDvNoHjuto6XF/7sqcq7ejczGchjyEmRP4ELkhYcKth90mEfzGMJdPi+BoZrz99f43wZN8alwp6LDPJrHXHT0g0dgFvBD5DfEE0je3AXJmVcAv9DG5sqdig7zaB5z0WEex8/dyvE1244Czqxuj8Wnwp2KDvNoHnPRYR7T9WjFSrW0HlhZWEyYKIpiWeQhLMhU89cATwMrIy8vnwIedM49pIXtBx3m0TzmosM8ZuGxQDoyX+ecu9d/l6IoCmAb4C7n3IUxeGQ58I5jNXWYR/OYiw7z2J8enXMXUomiKCYDSyB5firwqHPuySouFpsrdyo6zOPE0GEeu6uj5vtbAA84567uJFaTOxUdmtyp6NDkTkWHJvdo2KIopgKvBV6HzMqyFrJc+0+BXznnbtPG9oMO82geQ7j9dwpgEFnWdRpwBnCQc+73VWwsPhXuVHSYR/OYi46J6NHvG3DOveBz5TrA5shqgRsiM37+Cuk8d58G1jl3r5YOTe5UdJhH85iLDvM4bo/3A865+g5ORVFMA/4EHO6cO6EoioFQvP+359yp6DCP5jEXHeYxXY/OuRPqMBYWrbAOyxYTKoqi+DjwYWA9pFPczcCdyGyexzvn7tDG9oMO82gec9FhHrPx+CRwo8eeB/zROXfdKNyj4rWwuXKnosM8msdcdJjHWu5pzrmnS5/bPpSIwebKnYoO82gec9GRssfRIgaryZ2KDk3uVHRocqeiQ5M7Vof/zgAyOGoJpPPQTcgsLI8W8rLaAbOccw9qYftBh3k0j5HY6chgyH855+7HR1EUU4DXOuf+EoMH/poCdyo6zKN5zEVHv3ikTRRFMQjMd865oigWcs492m1srtyp6DCPE0OHeZwYOrS5S9+bBLzEOXdup/GpcKeiQ5M7FR2a3Kno0ORORYcmdyo6NLk1dVhY9HyKZytWOlWAxZBlQvb1f88DPgEcj8zw+XdgTWVs0Qc6zKN5zEWHeczT49XIUsIt7GAkfgklrKYO82gec9FhHvvT42LA7cho601heIknYKD1GVgDWC4COwtYJEPuVHSYR/OYi45cPJb/XgNYIQK7sCJ3KjrMo3nsqA7/9yzgWOABZFatS4BLgbOBLwGrlb43Wwk70Ac6zKN5jMVeDFwEnAUcCMxrYducu23xMVhN7lR0mEfzmIuOPvI4CVgdmFLe3uYeRgWbK3cqOsyjecxFh3nU9Vjz3WB8Ktyp6DCPE0OHeZwYOnL1aMVKaOm5ACtWOlWATwLnt9m3GXAmMtvn4lrYftBhHs1jLjrMo3nMRYd5NI+56DCPfe3xWeACZOnUm4AvAy8qfWc5pAPEARHYlTPlTkWHeTSPuegwj+YxFx3msYse/ecvAJcDL/Wf5wHvRTo9XwycCCyhie0HHebRPI4TeyHw5wgdC+BT4U5Fh3k0j7no6COPn0ZWnPo5sDUwFxhs7feY2cCbgN2VsJMUdWhyp6LDPJrHXHSYx+543AqYHKFjK+CziXCnosM8msdcdJjHdD1OLm+3YqVd6bkAK1Y6VYCdkFk81/afp5STIbC837+DFrYfdJhH85iLDvNoHnPRYR7NYy46zGPfevwp8CNgSWBd4CDgBqQz0nnAx4C9gSdisP7/yY47FR3m0TzmosM8msdcdJjH7nr0Ws4Edm99Lm0fBDb33z9ZE9sPOsyjecxFh3k0j7noMI8TyuO5wOn+ey8AtwCHIAO5F/KYnZF7GRWspg7zaB5z0WEezWMuOsyjecxFh3k0j73UUb0Xt2KlXem5ACtWOlWQ5aqvAo4AZpW2D5T+PgfYQwvbDzrMo3nMRYd5NI+56DCP5jEXHeaxLz3uDXwG+EJru9+3EPBa4GfA3cB8ZGbFUOx+SCfp3LhT0WEezWMuOsyjecxFh3nsoke/bwiZ7fBshmdFHGTBe5HXIPcrGyph1+sDHebRPOaiwzyax1x0mMeJ43EJ4AyGB3YvC+wLXI/cs1wM7AlcC/xECfs9RR2a3KnoMI/mMRcd5tE85qLDPJrHXHSYx3Q9fq91723Fylil5wKsWOlEAQpf3grcBjwOHAm8GBhAZol7r9++ojK2H3SYR/OYiw7zaB5z0WEezWMuOsxj/3mcAsz199wLvOzz27ZAHkosG4P1n7PjTkWHeTSPuegwj+YxFx3msbse/baNgZuAg4E5Zbzfvxwye/MyWth+0GEezWMuOsyjecxFh3mcGB6BpZABV2+owW0AHAr8B7l/2UAJq6nDPJrHXHSYR/OYiw7zaB5z0WEezWMvdSxTxVix0q70XIAVK50swMLI0pM7A6cgDx+eAG5EHlQcoI3tBx3m0TzmosM8msdcdJhH85iLDvPYXx6BwmNXpvKyr7Tvi8DNMdjKtmy4U9FhHs1jLjrMo3nMRYd57K5H/3kAmTXxo8ADwMPIyg+vA14EvAM4GrhQC9sPOsyjecxFh3k0j7noMI8Tx6PnnwZMbd2ztEpp/4HApZrYXLlT0WEezWMuOsyjecxFh3k0j7lnYiTzAAAHp0lEQVToMI/perRiJbS0HhpbWGQbRVEsCbwP+CzwIPA08AhwFnAeMAlYFTjZb+841jl3/UTXYR7NYy46zKN5zEWHeTSPuegwj33vcXfgfuB54B7gOOAPzrkni6IokJeBTwJzA7F3AxdkyJ2KDvNoHnPRYR7NYy46zGMXPTrnTqISRVEsDHwQ2AFYH1nl4Rmk89FBzrnztbH9oMM8msdcdJhH85iLDvM4MTwWRVG4mhflRVFMBy4Bfu6cO1gTmyt3KjrMo3nMRYd5NI+56DCP5jEXHeYxXY8WFiFhHZYtso+iKI4C1gJOBB4CFgXWAVZHXpbs6/wDCC1sP+gwj+YxFx3m0TzmosM8msdcdJhH81jCbgDMA+4EvumcOzUWmyt3KjrMo3nMRYd5NI+56DCP3fXovzMbeLz8kqMoigFgKjATWBt40jl3vha2H3SYR/OYiw7zaB5z0WEeJ7bHahRFMRV4F3AS8JAC9hivT0OHJncqOsyjecxFh3k0j7noMI/mMRcd5jFdj8c4555rh7OwGBHO9X6aZytWmhagQJau3ryybQXgncCpyLLWG2ph+0GHeTSPuegwj+YxFx3m0TzmosM8mscKdjlkGdVTgetisWPoSJY7FR3m0TzmosM8msdcdJjH7nosYX4M7IgMmppd3lfCLKKMLfpAh3k0j7noMI/mMRcd5rG/PC4cwR2NzZU7FR3m0TzmosM8msdcdJhH85iLDvOYrkcrVmJLzwVYsTKegsziciWwcZv9U4CLgIO0sP2gwzyax1x0mEfzmIsO82gec9FhHs1jG+zkJthAHclxp6LDPJrHXHSYR/OYiw7z2F2Pftv2wHzgEeBm5MXHtsCqwDSPmQn8EdhDCbtOH+gwj+YxFx3m0TzmosM8TmyPbwNWKeGnAX8CPq+EXVtRhyZ3KjrMo3nMRYd5NI+56DCP5jEXHeYxXY9r1z0btGJltNJzAVasjKf4BPgP4FxgNWCgBvNJ4DItbD/oMI/mMRcd5tE85qLDPJrHXHSYR/OYiw7zaB5z0WEezWMuOsyjeey0Dv/5p8CPgJWBzyEdnp8CLgUOBF4NfBx4TgvbDzrMo3nMRYd5NI+56DCP5jEXHebRPOaiwzyax1x0mEfzmIsO82gee6mj+jzQipWQ0nMBVqyMtwAbIy9KzgU+iCw9OdPvmw4cD/xKE9sPOsyjecxFh3k0j7noMI/mMRcd5tE85qLDPJrHXHSYR/OYiw7zaB47jB0C9gG+3tLlt68FfBe4E3gQeB74mRL2yD7QYR7NYy46zKN5zEWHeTSPuegwj+YxFx3m0TzmosM8msdcdJhH89hLHUeWMVashJaeC7BipRMFmZL+d8DTPjGe6JPu7cD5wDra2H7QYR7NYy46zKN5zEWHeTSPuegwj+YxFx3m0TzmosM8msdcdJhH89hh7CLAPP/3ZKCoaHwXstzk+lrYftBhHs1jLjrMo3nMRYd5NI+56DCP5jEXHebRPOaiwzyax1x0mEfz2Esd5e1WrISWwjmHhcVEiaIolgS2At4KPANcBRznnLu2W9h+0GEezWMuOsyjecxFh3k0j7noMI/mMRcd5tE85qLDPJrHXHSYR/PYaR2l7w0gLz1eKIrio8D3nHPTu4ntBx3mcWLoMI8TQ4d5nBg6zOPE0GEeJ4YO8zgxdJjHiaHDPE4MHeZxYugwjxNDR64eLSzGCuuwbDFhoyiKAefc/F5i+0GHJncqOjS5U9GhyZ2KDk3uVHRocqeiQ5M7FR2a3Kno0ORORYcmdyo6NLlT0aHJnYoOTe5UdGhyp6JDkzsVHZrcqejQ5E5FhyZ3Kjo0uVPRocmdig5N7lR0aHLH6ih9b3dg0Dn3zV5h+0GHJncqOjS5U9GhyZ2KDk3uVHRocqeiQ5M7FR2a3Kno0ORORYcmdyo6NLlT0aHJnYoOTe5UdGhyp6JDkzsVHZrcqejQ5E5FhyZ3Kjo0uVPRocmdig5N7lR0aHJr6rCwqAvrsGxhYWFhYWFhYWFhYWFhYWFhYWFhYdHTKIpiEvBCSGdnLWw/6NDkTkWHJncqOjS5U9GhyZ2KDk3uVHRocqeiQ5M7FR2a3Kno0ORORYcmdyo6NLlT0aHJnYoOTe5UdGhyp6JDkzsVHZrcqejQ5E5FhyZ3Kjo0uVPRocmdig5Nbk0dFhZ1YR2WLSwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLNRioNcCLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCZuWIdlCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLC7WwDssWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWamEdli0sLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCzUwjosW1hYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWKiFdVi2sLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwUIv/B44gfn9JHOK1AAAAAElFTkSuQmCC\n"
          },
          "metadata": {},
          "execution_count": 32
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# post processing: we see two different peaks from the QAE\n",
        "\n",
        "showQAEoutput(counts,STATELIST,QAEqubits)"
      ],
      "metadata": {
        "id": "AEcQ0X_h7FoN",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "eeb1aa82-bcc0-4ba3-dcd0-8330eac98097"
      },
      "execution_count": 33,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Bin with the highest probability:  00000010\n",
            "Number of Bin with the highest probability:  2\n",
            "The probability of the tail event  ['111111']  is:  0.0006022718974138037\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.0006022718974138037"
            ]
          },
          "metadata": {},
          "execution_count": 33
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Even Larger Example"
      ],
      "metadata": {
        "id": "8dR2Kh4xQJr_"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "## large example\n",
        "\n",
        "nodes=['0','1','2','3','4','5','6','7'] # risk items defition\n",
        "edges=[('0','1'),('0','2'),('1','2'),('1','3'),('1','4'),('2','3'),('2','4'),('2','5'),('3','4'),('3','5'),('4','5'),('5','6'),('5','7'),('6','7')] # risk items correlations\n",
        "\n",
        "probsNodes={'0':0.1, '1':0.2, '2':0.1, '3':0.2, '4':0.1, '5':0.1, '6':0.1, '7':0.1} # intrinsic probs\n",
        "probsEdges={('0','1'):0.2, ('0','2'):0.3, ('1','2'):0.2, ('1','3'):0.3, ('1','4'):0.2, ('2','3'):0.3, ('2','4'):0.2, \n",
        "            ('2','5'):0.3, ('3','4'):0.2, ('3','5'):0.5, ('5','6'):0.3, ('5','7'):0.2} # transition probs\n",
        "\n",
        "print(\"Number of risk items = \", len(nodes))\n",
        "print(\"Number of correlations = \", len(edges))"
      ],
      "metadata": {
        "id": "f98E7QstC0Qc",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "67621486-971d-46a5-fdfd-5846d25ccd69"
      },
      "execution_count": 34,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Number of risk items =  8\n",
            "Number of correlations =  14\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "rm, mat = brm(nodes, edges, probsNodes, probsEdges, model2gate=False) \n",
        "rm.draw(output='mpl')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "UrAnYtuvRIeT",
        "outputId": "e0c72593-3144-49de-bde8-493fdedab387"
      },
      "execution_count": 35,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "NOTE: Item 2 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 3 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 4 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 5 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 1591.6x1047.48 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {},
          "execution_count": 35
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "rm.measure_all()\n",
        "display(rm.draw(output='mpl'))\n",
        "print(\"-------------------------------\")\n",
        "\n",
        "backend = Aer.get_backend('qasm_simulator')\n",
        "job = execute(rm, backend,shots=100000)\n",
        "result=job.result()\n",
        "counts=job.result().get_counts()\n",
        "plot_histogram(counts,figsize=(16,8))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "eJiTuNg5RNu5",
        "outputId": "371519e7-c648-4812-b241-330be702b69a"
      },
      "execution_count": 36,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1621.88x1769.88 with 1 Axes>"
            ],
            "image/png": 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Eh0o9vlfxc+JPpY59/aeohsBGYU1SRESESkpKdN9995mOAgAAgEa0O2uT8gtyNefeNSouLtTOA+tdtv/9k5m686an9cKvP9Xt1z9W3r7ii7+qV6eBLvu6a7vYWyuf0XP3fKxJY57Tok//1+0+xSVFen/dK5qd8pluSJygD9bNr+e980zL5m01a/Iq9e8+zO32X938omanpOt3ExZr0aepkqQxl/9Sj4x/q9br9qd+AADgUlBYAwAAQMDIyFynpFhr2ExizA36Zv9/XbbvO7xNi1al6qFXRuibfda2ouJCZWSuU3zPq8r3c9d2sfOFeQoJDlPz0Bbq332o9h/Z7na/g8d2q1fUQDkcQW4zeUtIcKhaNG9T7fYgR7AkKb8gV9GdB0mS2rToWL7YV3X8rR8AoD4udSVJNB0U1gAAABAwcvNPqXkza87c8NBWys0/5bL9m31r9bPrHtFjt7+tBR/8RpL08YaFuj7xDpf93LW5u63wZhXz85Y6S6rPFFqR6dxFmXzJUwtv0Yy/jFRizA11/p2m2A8AcLF58+aZjgBDKKwBAAAgYISHtlJegTV317mCM4oIa+2yvWv7WPXo2F9tWnSU3WZXSUmxNuz8ty7vN7p8H3dtbm8rrJXOFVTME2a3uZ8sKDy0lfLOV2QKvyiTL3nqrn/qT/d9oddWPFrn32mK/QAAF0tJSTEdAYZQWAMAAEDAiOtxhTbvXiVJ2rx7ZZX5xLq0j9XxM9nKLzynktJincw9oqOnMvXIX0Zp1aY39eqKR9y2nc07qZO5R1VcUlR+XWEh4Sosyld+Qa52ZH6pHh3jJEnHTh90uc2u7WO17/A2lZSWuM3kKwqLCyRJYc0iFBoSXu1+Tb0fAMCdtLQ00xFgSJDpAAAAAIC3xHRNVHBwqKbNvUa9O1+mft0v14kzh7Vi/au6/frHdOfImUp9a7wKi/J1x41PKrJVF738gLXAwRsfP6UBPa9229aieRs994879MvvP6/IVl3Kb+/n1z2mhxfcqJDgUP32tr9Jkp5/+xd6/p5PZLdb33EHOYI1eug9mj73GkWEtdGjP/+Hl3vFUlxSpEf/OlrfZW/RjL/epLtHp6pj6x7lffPsm7cpN/+USp0lmjTaWoBgxZev6r21c3U274TO5p3U/T95WfPfne7X/QAAwKWgsAYAAICAMuVHf3D5uW3LqPIVQHt0jNPvU9Lc/t4vRj5VY1vz0JYuxSRJSoy9QYmxFfORlZaWqkfHuPJiUpkbkyboxqQJl3AvGl6QI1izfrWySntZ38y8619Vto2+fJJGXz7Jpc3f+wEAgEvBqaAAAABAA7j/J3Nr3cdut2vqj//khTTm0A8AAlFGRobpCDCEEWsAAABo8lp0MJ2gfryR2x/6xh8yAghsixcv1rhx40zHgAEU1gAAANDk9b3OdALfRd8AgOeefPJJCmsBilNBAQAAAAAAgHqgsAYAAAAAAADUA4U1AAAAAAAAD8ydW/vCLWiaKKwBAAAAAAB4ID4+3nQEGEJhDQAAAAAAwAPJycmmI8AQCmsAAAAAAABAPVBYAwAAAAAA8MCQIUNMR4AhFNYAAAAAAAA8sH79etMRYAiFNQAAAAAAAKAeKKwBAAAAAAAA9UBhDQAAAAAAwANLly41HQGGUFgDAAAAAAAA6oHCGgAAAAAAgAfGjh1rOgIMCTIdAAAAAABM2vmpdPZo497Ghrcb53pbdJD6Xtc41y01Xt80ZH80dh8AQE0orAEAAAAIaGePSqeyGvc2Gvv6G0tj9Y2/9gcAXIxTQQEAAAAAADwwZcoU0xFgCIU1AAAAAAAAD0ydOtV0BBhCYQ0AAAAAAMAD1157rekIMITCGgAAAAAAgAdycnJMR4AhFNYAAAAAoAHckdpTKze+Wef2po7+ABAIKKwBAAAAAAB4IC4uznQEGEJhDQAAAAAAwAPLli0zHQGGUFgDAAAAAADwwBNPPGE6AgwJMh0AAAAAAALBybNH9NTfblGQI0SFRfmaODpViTHXm45lDP2BpmTJkiV6+umnTceAAQE5Yq20tFQvvviiYmJiFBoaqkGDBik9PV19+/bV5MmTTccDAAAA4IccjmAVlxZVaS8uKVKQI1gtwyM1+941+n1Kmh69fZFe/XCGgZTeQ38ACAQBOWJt0qRJWr58uR5//HElJSVp7dq1Gj9+vHJycjR9+nTT8QAAAAD4oag2PXXo2B6XtvyCXJ08e1id2kXLYXeUt+fmn1J0pwRvR/Qq+gNAIAi4wtqiRYu0cOFCpaWlKTk5WZI0YsQIbdq0ScuXL1diYqLhhAAAAAD80cjv3aV57z6oIX1HKa7nlco7f0YL3n9IPaMGqk/nwZKk7BN79fyiCcrK2amHxr1uOHHjoj8QSNLT001HgCEBV1hLTU3VqFGjyotqZfr06aPg4GAlJFjfkhQWFmrGjBl67733FBoaqjZt2uizzz4zERkAAACAH7g+8XYVFOXpT/+coiOn9issJEIJ0cl65u735HBYH706te2ll6b8R9nHv9Nv5l+nYXE3G07deOgPBJLt27erQ4cOpmPAgIAqrGVlZWnbtm2aNm1alW2ZmZmKj49Xs2bNJEmPPvqozp49qx07dsjhcCg7O7vOt1NWqbbZbA0T3I1PXnA2+m00NH/MLPlnbn/MLPlvbvg/jj3/569/Q3/M7Y+Zgdq8+OvVGtR7eINc15ih92jM0HvcbissLlBIkPV5o3loS4WFRHh8e+npaRoyfoTH11MdT/vGG/3R2H3QmHhOdeWr/eGuhnCxOXPm1LrfnDlzGiqSRx5+br4kq58rX/Zlvpw54AprkhQVFeXSnp+fr/T0dI0ePVqSlJeXp/nz5+vAgQNyOKzz/jt16uTdsAAAAACalF0H1uu1FY/KbneouKRIKT/6g+lIRtEfAJqCgCqsRUZGSpJ27dqlMWPGlLfPmjVL2dnZSkpKkiTt2bNHrVq10uzZs/XRRx/Jbrdr+vTpGjduXJ1up+w007S0tIa9A5WsfNH63+l0NtptNDR/zCz5Z25/zCz5b274P449/+evf0N/zO2PmYHabHhbOpXV+LczoNfVmn1vw04vk5w8XM55jfd4bMy+aaj+aOw+aEw8p7ry1f7YsWNHrfvMmTNHkydPrnGf2bNnN1Qkj8x4foEkq58rX/Zl3sw8fPjwS9o/oApr0dHRSkhIUGpqqtq2basuXbpo6dKl+vDDDyWpvLBWXFysgwcPqlOnTvryyy+1b98+XXnllYqJidHgwYNN3gUAAAAAAOBjZs6caToCDLGbDuBNdrtdS5YsUXx8vFJSUjRx4kRFRkZqypQpcjgc5QsXdO/eXZJ05513SpJ69uypq666Sl9++aWx7AAAAAAAwDfV9Qw3ND0BVViTpNjYWK1evVrnzp1TZmamnnnmGW3dulVxcXEKCwuTZJ0yOmrUKH3wwQeSpOPHj+vLL7/UoEGDTEYHAAAAAAA+qH///qYjwJCAK6y5s2HDhvLTQMu88sormj9/vgYOHKjk5GTNmDFDw4YNM5QQAAAAgLfMe3eaps29Ri+/80CVbWfyTuiZv4/Tb165Tm+tera8vaAoX+NmRmnTrpU1tl1s855Pdf+frtBDr4xQTg2Tma3a9JYe+POV+t1rN+vc+TP1vGf1d+z0IaW8lKgxj4SqpKS4yvaX33lA0+cl674/DtW2vZ9Lkt5a9axue6azXv/odzVet7/0AQC4E/CFtdzcXO3atUuJiYku7T169NDKlSu1detWbdu2TSkpKYYSAgAAAPCW3VmblF+Qqzn3rlFxcaF2Hljvsv3vn8zUnTc9rRd+/aluv/6x8vYVX/xVvToNdNnXXdvF3lr5jJ6752NNGvOcFn36v273KS4p0vvrXtHslM90Q+IEfbBufj3vXf21bN5WsyavUv/u7gcb/OrmFzU7JV2/m7BYiz5NlSSNufyXemT8W7Vet7/0AQC4E/CFtYiICJWUlOi+++4zHQUAAACAYRmZ65QUe6MkKTHmBn2z/78u2/cd3qZFq1L10Csj9M0+a1tRcaEyMtcpvudV5fu5a7vY+cI8hQSHqXloC/XvPlT7j2x3u9/BY7vVK2qgHI4gt5m8ISQ4VC2at6l2e5AjWJKUX5Cr6M7WFDptWnSUzWar8Xr9qQ+AmlzqSpJoOgK+sAYAAAAAZXLzT6l5s5aSpPDQVsrNP+Wy/Zt9a/Wz6x7RY7e/rQUf/EaS9PGGhbo+8Q6X/dy1ubut8Au3JUmlzpLqM4VWZDp3USZf8dTCWzTjLyOVGHNDnX+nqfUBAte8efNMR4AhFNYAAAAA4ILw0FbKK7Dm7zpXcEYRYa1dtndtH6seHfurTYuOstvsKikp1oad/9bl/UaX7+Ouze1thbXSuYKKucLsNkf1mc5XZAq/KJOveOquf+pP932h11Y8WuffaWp9gMDF9FGBi8IaAAAAAFwQ1+MKbd69SpK0effKKnOKdWkfq+NnspVfeE4lpcU6mXtER09l6pG/jNKqTW/q1RWPuG07m3dSJ3OPqrikqPy6wkLCVViUr/yCXO3I/FI9OsZJko6dPuhym13bx2rf4W0qKS1xm8kXFBYXSJLCmkUoNCS82v2ach8gsKWlpZmOAEOCTAcAAAAAAF8R0zVRwcGhmjb3GvXufJn6db9cJ84c1or1r+r26x/TnSNnKvWt8SosytcdNz6pyFZd9PID1gIHb3z8lAb0vNptW4vmbfTcP+7QL7//vCJbdSm/vZ9f95geXnCjQoJD9dvb/iZJev7tX+j5ez6R3W6NgwhyBGv00Hs0fe41ighro0d//g8v94q1eMCjfx2t77K3aMZfb9Ldo1PVsXWP8n559s3blJt/SqXOEk0abS1AsOLLV/Xe2rk6m3dCZ/NO6v6fvKz570732z4AAHcorAEAAABAJVN+9AeXn9u2jCpfAbRHxzj9PiXN7e/9YuRTNbY1D23pUlCSpMTYG5QYWzEnWWlpqXp0jCsvKJW5MWmCbkyacAn3omEFOYI161crq7SX9cvMu/5VZdvoyydp9OWTXNr8uQ8AwB1OBQUAAAAAL7j/J3Nr3cdut2vqj//khTRm0AdoqjIyMkxHgCEU1gAAAAAAADywePFi0xFgCKeCAgAAAAho/5+9ew+zqi7UB/4OM9wMLygiCKEidxQQKDVTRDPvxzpHMU9ZKYoClbdKPUdLszhkZHhMM9O0jub5BVKZBzqaMpOGFoSkqIiXFCm8X1FEYeb3h4fJSS7jgpk9m/l8nmc9z561v2uvd69Zs9jPy1p7bdm11AmKa+rs5bBtyiEjm7+vf/3rGTNmTKljUAKKNQAAoFXrf0CpE7Rctg3A+rkUFAAAAAAKUKwBAAAAbIQrrtjwjTnYPCnWAAAAADbC4MGDSx2BElGsAQAAAGyEUaNGlToCJaJYAwAAAIACFGsAAAAAUIBiDQAAAGAjfOhDHyp1BEpEsQYAAACwEebOnVvqCJSIYg0AAAAAClCsAQAAAEABijUAAACAjTB9+vRSR6BEFGsAAAAAUIBiDQAAAGAjHH300aWOQIlUlTpAa/bwHclrz27ca8z772LLbdk16X9AsWU3Nnc5Zk6aP3c5Zk5Kl3tjMlMeNsW+tSFF/2bWx775/vg35v1pbf+eA5RKU38OaYrPIEnTH3Obartsyu3h3x2ammKthF57Nnl56ca9xsYuX8TG5i7HzEnz5y7HzEn55qbl2xT71obY90rPvzHNpxy3NUCpNPXnkHI9pjbVdinX7UHr5FJQAAAAgI0wceLEUkegRBRrAAAAABvhC1/4QqkjUCKKNQAAAICNsN9++5U6AiWiWCsDn5m0c35uIJW/AAAgAElEQVT7p+sbPb8lkLn5lGPucszM5sG+t3ko199jOeYux8wALZVjakOb2/Z47rnnSh2BElGsAQAAAEABijUAAACAjTBo0KBSR6BEFGsAAAAAG+Gmm24qdQRKpKrUAdh4L732TC74ySdTVdkub729IiccOinD+x5Y6ljrJXPzKcfc5ZiZzYN9b/NQrr/HcsxdjpkBWirH1IbKbXt87Wtfyze+8Y1Sx6AEWm2xVltbm0suuSQ//OEP89RTT6V///75z//8z4wbNy6jRo3KVVddVeqI9Sor22ZV7dvvmb9q9dupqmybrT7QJZdMuDOVbSqz7IXH883rj83w0+aWIOnfydx8yjF3OWZm82Df2zyU6++xHHOXY2aAlsoxtaHNbXtMmzZNsdZKtdpibezYsZkxY0bOP//8jBgxInPmzMlxxx2X5557LmeeeWap4zXQrfPO+dvzjzaYt2Ll8rz02tPpvl3vVLaprJ+/fMXL6d19SHNHfA+Zm0855i7HzGwe7Hubh3L9PZZj7nLMDNBSOaY2ZHuwuWiV37F244035rrrrsvNN9+cL3/5yxk9enT+/d//PXvvvXdWrVqV4cOHlzpiAx8f+fnM/MNVuf/xO7O6dnVee+OlXPGr07Jzt93TZ8c9kiTLXvxLTr/8ozn36oOzz26fLHFimZtTOeYux8xsHux7m4dy/T2WY+5yzAzQUjmmNmR7sLlolWesTZo0KYccckhGjRrVYH6fPn3Stm3bDBkyJC+//HL233//+ufeeuutPPTQQ7nvvvuy++67N2veA4d/OivffiOX/WJinnn5yXRs1ylDeo/KRSf+OpWV7/wKu2+7S6ZOvCvLXng8X/nhAdlr0BHNmlHm0inH3OWYmc2DfW/zUK6/x3LMXY6ZAVoqx9SGNrftUVNTU+oIlEirK9aWLl2ahQsX5owzznjPc0uWLMngwYPTvn37tG/fPgsWLKh/7qc//WkuueSSZi/V1jhsz5Nz2J4nr/W5t1atTLuq9kmSLTpslY7tOjVntHWSufmUY+5yzMzmwb63eSjX32M55i7HzAAtlWNqQ5vT9njggQfStWvXUsegBFplsZYk3bp1azB/xYoVqampyaGHHrrW5X70ox9l3LhxjVrHmqa6oqJiveOmnDo7Q3fdv1GvuT6Ln5qbH8/6t7RpU5lVq9/O+KMubUTG6nzouNGF1rcpcreWzEnx3PaP5stMedhUfxPrU/TvfH3sm+9POR5DHK8dr4HNn88ha9eU22VTbY9NsQ3WdmLOP/re9763wXHf+973NirHpnL25B8meaezePfjlqwlZ251xVqXLl2SJIsXL85hhx1WP//iiy/OsmXLMmLEiPcss2jRosyfPz+33HJLs+V8P3bb5aO5ZMLvSh3jfZG5+ZRj7nLMzObBvrd5KNffYznmLsfMAC2VY2pDtgfloqKurq6u1CGaU21tbfbYY48sW7YsU6ZMSY8ePTJ9+vTMnDkzS5YsyT333JM999yzwTJnnnlmXnrppVx77bWNWsea72arrq5e77h5/528vLTIu9h42/RMRn6q2LKlyl2OmZPiucsxc1Ke+wfloZR/ExvDvvn+lOMxxPH6/fE3AZQjn0PWrhy2y6bYBosWLdrgmIEDB+ahhx5a75gBAwZsXJBN5JxvX5UkmXz2uAaPW7LmzNzYTmeNVndX0DZt2mTatGkZPHhwxo8fnxNOOCFdunTJxIkTU1lZmSFDGt7Cd+XKlfnpT3/a6MtAAQAAgNblwgsvLHUESqTVXQqaJP369cvs2bMbzDv++OMzaNCgdOzYscH8X/ziF+nevXv23nvv5owIAAAAlIkxY8aUOgIl0urOWFuXefPmrfX71X70ox/l5JPXfpcSAAAAgIEDB5Y6AiWiWEuyfPnyLF68OMOHD3/Pc7fffnu+9KUvNVuWH9x8Rs64Yt9c/qvT1jlm9epVmXzj8Tn98o/mv++YvM5xb7z5Ws7/8ZE57fv75LZ5P22KuElkbq7MSXnmLsfMlIf17VuvvvFiLvqvMfnKlQfkhtu/VT9/5dsrMubCbpm/+LfrnfeP7n30jnzpsr3z5StH57n1fJHI7fNvyGnf/0jO+/ERef3NVwu+M96tHI8h5Zg5Kd/cAM3NZ5C1e/6Vv2X81OE57NwOWb161Xuev+H2b+XYi3bMtb85r37e1Omn5LTv75PTL/9oHv/bfet87b88vTCnX/7RnPb9fdY7rrHbCzYlxVqSTp06ZfXq1fniF79Y0hyPLJ2fFSuX53sT7syqVW/l4afmrnXcnAdvzge7DsjUiXdl4RN35cVXn17ruJl/+FH2H/apXDLhd5n1x6vz9qq3ZC7TzOWauxwzUx42tG/9120X5nMHfyPfOfWOfPrAf6+fP+sPV2eX7rs3GLu2ef/oht9elMkn35qxh03OjXf8x1rHrFr9dm6558pcMv53+djw4/M/9/yw4LtjjXI8hpRj5nLODdDcfAZZt6222DYXj7s9A3vttdbnD/vwSTn3uBsazDv2gHNy6Rd+ny+PuTb/ddu6v6PsJ785P//26Rtz/vE/z3X/e/46xzVme8GmplhrQR5ack9G9DsoSTK878fy4JN3r3XcoifvyYi+74wbuuvoLHrqj+t8veH9Dkplm8r03nFonnp2w3cykbllZi7X3OWYmfKwoX3riacX5sbbJ+XLV47Og0+889zbq97KQ0vuyeCd96kft7Z5/+jNt95Iu7Yds0WHLTOw15558pkH1jrur88/kl267Z7Kyqr17u80XjkeQ8oxcznnBmhuPoOsW7u2HbLlFp3X+XznLXdIRUVFg3ndt90lSVJV2TZt2lSuc9nXVryUrtt8MF227pHlb7681jGN3V5NZc2dJGl9FGstyPIVL2eL9lslST7QYessX7H2A8byN1/OFh3+Pu71dY1b8XI+8O7XW8cBSOaWn3nNesotdzlmpjxsaN968Ik5+dQB5+bfP/3fuep/vpIkuXXedTlw+GcajFvbvLWta81+lyS1davXnakR+zGNV47HkHLMvGY95ZgboLn5DNI0rpl1bj750XV/BVNdXe27f1jrmMZur6bygx/8oFnXR8uhWGtBPtBh67yx8p3r4V9f+Wo6ddxm3eP+77r5N958NR9Y17iOW+f1lX8f16nD2sfJ3PIz1+cps9zlmJnysKF9q+f2/bLTDgPTecsd0qaiTVavXpV5D/9vPjzg0Poxa5u31nW9a79LkjYVa//f1Hfvx6+vXPd+TOOV4zGkHDPX5ynD3ADNzWeQTW/GnVOzU9dB2W2Xj6570LvOdKuoWHuN0djt1VTGjx/frOuj5VCstSCDdto79z5ye5Lk3kd+m4G99srq1avy0mvPNBg3cKe9c++j74z782Oz0/+DH8rKt1fk1TdebPh6vd55vdW1q/PY3xbkg10HyFymmcs1dzlmpjysbd96tx7b98sLry7Lirdez+raVXlp+TN59uUlOfdHh+T2+dfnmlnnrnXea2+8lJeWP5tVq9+uf62O7T6Qt95ekRUrl2fRkj9mpx0GJUmef+WvDdbZc/t+eeLphVldu3qtmXj/yvEYUo6Zyzk3QHPzGWTTmvfwrXngiTn59Mf+fkODV994MSvfXtFg3FYdt81zLy/N86/8rf7svMZur+ZSXV3drOuj5VCstSB9ew5P27YdcsYV+6ZNm8oM6PXhPP3SEw3umpIkew86Mk/8311RBu60d7bbqnse+Mvv8+u7G556euieJ+WOe2/ImVfsm4M/dGLaVrWTuUwzl2vucsxMeVjbvvXiq0/X333rcx+/MJNuOC5fvfKA/OuB56XL1j1y+Wlz8x8n/yYHDv9Mxh76H2udt+UWnfPDm8/My8ufbbC+fz3g33P2VQfl6pln51Ojz0mSfPu/P5va2r9fllBV2TaH7nlyzrxi39w67yc5Yq9Tmm+DbKbK8RhSjpnLOTdAc/MZZN1WrX47X/3hx/L4sj/nnKsPzkNL/tBg28z64zX54a/Pyh3zb8h/zpiYJLn8V1/M0y/+JV++cnSmTn8n902/uySPLJ3f4LU/+/EL883rj81F/3VMPvfxbyRJo7cXNLWKurp1XKBMYWu+tHBDjfW8/042dAfgO++7KZ226Jw9+hyw3nE3/e572WvQkenRpU+jMm7TMxn5qUYNfY8N5Za5oaK57R/Nl5ny0Ji/iU3hP2dMyJf++Yr1jqmtrc0VN5+WL3zisg2+nn3z/SnHY0g5/huTlOe2BiiV5vgcsqk/gyRNf8xtiu3y/V9+MRP+6dK0abP+84Aas72STbMNFi3a8E14Bg4cmIceemi9YwYMaBlncJ/z7auSJJPPHtfgcUvWnJkb2+msUdUkKdhk9h3yL40a9y/7ndHESRpP5uZTjrnLMTOtS2M+oLVp06bRH2jZtMrxGFKOmZPyzQ1QrnwGeUdj319jtldz2lCpxuZLsVZCW3Ytz3WXKnc5Zt6YdZdj5o1ddmOUcnvRPMr1d1yuuUulHI8hjtflsV6AjVGux66mzl0O26W5Mv785z/PmDFjmmdltCiKtRLqv/4rK1qscswtc/Mp19y0fPat1qEcf8/lmDkp39wApeCYuXa2y999/etfV6y1Um5eAAAAAAAFKNYAAAAAoADFGgAAAMBGuOKKlnUzBZqPYg0AAABgIwwePLjUESgRxRoAAADARhg1alSpI1AiijUAAAAAKKCq1AEAAAAAWqoBAwZscMzXv/71Ro1j8+OMNQAAAICNcMEFF5Q6AiWiWAMAAACAAhRrAAAAAFCAYg0AAAAAClCsAQAAAEABijUAAAAAKECxBgAAAAAFKNYAAAAAoADFWglcf/31GTJkSIYNG5Z99903Dz/8cKkjAQAAAKxXdXV1Bg8enD59+uSkk07K6tWrSx1pg0477bT07NkzVVVVTfL6irVm9sYbb+S0007LHXfckQULFuTTn/50zjvvvFLHAgAAAFin2tranHTSSZk2bVoeffTRvPrqq7n++utLHWuDjjnmmMybN6/JXl+x1sxqa2tTV1eX5cuXJ0leeeWVdO/evcSpAAAAANZt7ty52XHHHTNo0KAkydixY3PTTTeVONWGffSjH023bt2a7PWb5jw41qlTp075/ve/n9122y1bb711tt5669x9992ljgUAAABshp5+7sU8/+Ir75m/8OG/rPXxgD69UlVZ+Z7xS5cuzQc/+MH6n3v16pWnnnpqE6d9x6pVq7PosSXvmb+uzNtvu3V22H7bJsmyIYq1Zvb222/niiuuyNy5czNw4MB87Wtfy9lnn50rr7yy1NEAAACAzUy7tlX5+czqvPXW2w3mX//L297zeOSQ/tmt/y5rfZ26urqmC/kPqqoq89CjT+ZPCxc3mL+2zO3btc3pJx7dbNn+kUtBm9mCBQtSV1eXgQMHJkk+9alPZc6cOSVOBQAAAGyOtt1mqxx54N4bHrf1ljnygHWP++AHP9jgDLUlS5akZ8+emyTj2hz5sY9km606bXDcPx20TzpvvWWT5dgQxVoz69mzZx5++OH89a9/TZLcdttt9dcnAwAAAGxqI3fvn0F9d1rn8xVJxhwxOu3bt1v3a4wcmaVLl+bBBx9MklxzzTX553/+500dtV6H9u0y5vD9U7GeMbv12yXDB/dtsgyNoVhrZt27d8/kyZNz0EEHZejQofn1r3+diy++uNSxAAAAgM1URUVF/vng/dJpi45rfX6/PYdm557r/4L/ysrKXH311Tn66KOz6667plOnTjn++OObIm693r12zL4fHrLW5zp9oGM+efC+qahYX/WWnHLKKenZs2dWr16dnj17ZuLEiZs0Y0Vdc14k20rsv//+SZLq6ur3tdyTS5/Olp22yLbbbLXpQwEAAACt2oOPPJGfzri1wbzuXbfLxOM/kaqq996woCV4e9WqfP8nv8gzz7/UYP7njz4kA3bttcnX9347HWestRCra2szbWZNfvar20sdBQAAANgMDeq7c0YO6V//c2Vlmxx7xOgWW6olSduqqhx75AGpbPP3CmvPYQObpFQrosUUaxdccEEqKiqycOHCHH744enUqVO6d++e73znO0mSWbNmZfjw4dliiy2yxx575K677mqw/Jw5c3LwwQdn6623TseOHbPvvvu+Z8y8efMyZsyY9OrVKx07dkyfPn3yxS9+Ma+80vC2s48++miOPvrodOvWLe3bt0+PHj3yT//0T3nhhRea7P3/+cFH8/xLr2T03ns02ToAAACA1u3IA/bOtv/3Zf8H7/fhdNt+2xIn2rAdu26Xg/YdmSTZrvNWOWz0XiVO9Hctplhb45hjjskBBxyQX/7ylznooIPy1a9+Neecc06+8pWv5Ktf/WqmTZuWurq6HHXUUXnttdeSJLfeemv233//VFRU5Nprr8306dOz5ZZb5sADD8zcuXPrX/uJJ57I7rvvnu9///v5zW9+k3PPPTezZs3KYYcd1iDD4YcfnieffDKXXXZZbrvttnzve9/LDjvskBUrVjTJe15dW5s75tyb7l23W++XCQIAAABsjPbt22XMEaOz60475qMf2r3UcRptvw8PyS4f7J5jDx+d9u3aljpOvRbzHWsXXHBBLrzwwvzgBz/IqaeemiRZuXJldthhh7zxxhtZvHhxdt555yTJHXfckQMPPDDTp0/Pv/zLv6Rfv37p0qVL7rrrrrT5v1MDV61ald122y29e/fOzJkz17rOVatW5e67785+++2Xe++9N8OGDcvzzz+f7bffPr/85S9z1FFHFXovvXq/c1rlv55yVqHlAQAAAGh+P/vhd5MkSx5/uFHjW9wZa+8+e6x9+/bp3bt3Bg4cWF+qJcmAAQOSJE899VQeffTRPPLII/nMZz6T2trarFq1KqtWrUqSfOxjH0tNTU39csuXL895552Xvn37pkOHDmnbtm3222+/JMnDD7+zwbbbbrv07t0755xzTq666qosWrSoqd8yAAAAAGWoxRVr227b8Nredu3apXPnzu+ZlyRvvvlmnnnmmSTJxIkT07Zt2wbT5ZdfnjfeeKP+Es4TTzwxl156aU499dTMmjUrc+fOzYwZM5KkfkxFRUV++9vfZq+99sp5552XgQMH5oMf/GAmT56cxp7c13XHnum6Y8/iGwEAAACAZvd+O52qJszSLLbbbrsk71xKevjhh691TPv27fPmm2/mF7/4Rb72ta/lrLP+fonmP964IEl22WWXXHvttamrq8sDDzyQH//4xzn33HPTpUuXnHTSSRvM9LEjjy34bgAAAAAolffb6ZR9sda/f//07t07999/f77+9a+vc9zKlSuzatWqtG3b8AvufvzjH69zmYqKiuy222655JJLcuWVV+b+++9vVKbJZ49r1Lj5Cxfn5/9TneM/+fEM7rdzo5YBAAAAoGUo+2KtoqIiV155ZQ4//PAcddRR+cxnPpOuXbvmueeey/z58/P222/nO9/5Trbeeut85CMfyZQpU7LDDjtkxx13zM9//vP84Q9/aPB69913X770pS9lzJgx6du3b5Jk2rRpWbFiRQ4++OBNltudQAEAAADKW9kXa0ly0EEHZc6cOfnWt76V8ePH57XXXkvXrl0zfPjwnHzyyfXjfvazn+ULX/hCTj/99FRWVuaII47I//t//y8jR46sH9OtW7fsvPPOufTSS7N06dK0bds2AwcOzM9//vMGN1bYWPcvejzPv/RKjv/kx1NRUbHJXhcAAACA5lFR19hv5GeTevvtVblv0eMZvltfxRoAAABAGVKsAQAAAEABbUodAAAAAADKkWINAAAAAApQrAEAAABAAYo1AAAAAChAsQYAAAAABSjWAAAAAKAAxRoAAAAAFKBYAwAAAIACFGsAAAAAUIBiDQAAAAAKUKwBAAAAQAGKNQAAAAAoQLEGAAAAAAUo1gAAAACgAMUaAAAAABSgWAMAAACAAhRrAAAAAFCAYg0AAAAAClCsAQAAAEABijUAAAAAKECxBgAAAAAFKNYAAAAAoADFGgAAAAAUoFgDAAAAgAIUawAAAABQgGINAAAAAApQrAEAAABAAYo1AAAAAChAsQYAAAAABSjWAAAAAKAAxRoAAAAAFKBYAwAAAIACFGsAAAAAUIBiDQAAAAAKUKwBAAAAQAGKNQAAAAAoQLEGAAAAAAUo1gAAAACgAMUaAAAAABSgWAMAAACAAhRrAAAAAFCAYg0AAAAAClCsAQAAAEABijUAAAAAKECxBgAAAAAFKNYAAAAAoADFGgAAAAAUoFgDAAAAgAIUawAAAABQgGINAAAAAApQrAEAAABAAYo1AAAAAChAsQYAAAAABSjWAAAAAKAAxRoAAAAAFKBYAwAAAIACFGsAAAAAUIBiDQAAAAAKUKwBAAAAQAGKNQAAAAAoQLEGAAAAAAUo1gAAAACgAMUaAAAAABSgWAMAAACAAhRrAAAAAFCAYg0AAAAAClCsAQAAAEABijUAAAAAKECxBgAAAAAFKNYAAAAAoADFGgAAAAAUoFgDAAAAgAIUawAAAABQgGINAAAAAApQrAEAAABAAYo1AAAAAChAsQYAAAAABSjWAAAAAKAAxRoAAAAAFNAqi7Xa2tpMmTIlffv2TYcOHTJ06NDU1NSkf//+GTduXKnjAQAAAFAGqkodoBTGjh2bGTNm5Pzzz8+IESMyZ86cHHfccXnuuedy5plnljoeAAAAAGWg1RVrN954Y6677rpUV1dn1KhRSZLRo0dn/vz5mTFjRoYPH17ihAAAAACUg1Z3KeikSZNyyCGH1Jdqa/Tp0ydt27bNkCFDkiRPPPFERo0alX79+mX33XfPnXfeWYq4AAAAALRQreqMtaVLl2bhwoU544wz3vPckiVLMnjw4LRv3z5Jcsopp+TYY4/NhAkTMmfOnBxzzDH5y1/+knbt2m1wPRUVFZs8OwAAAADNo66urlHjWtUZa0uXLk2SdOvWrcH8FStWpKampv4y0Oeffz533XVXxo4dmyT5yEc+kh133DGzZ89u3sAAAAAAtFit6oy1Ll26JEkWL16cww47rH7+xRdfnGXLlmXEiBFJ3jl7bYcddqg/ey1Jdtlllzz55JONWs+ay0yrq6s3UXIAAAAAWppWVaz17t07Q4YMyaRJk7LtttumR48emT59embOnJkk9cUaAAAAAGxIq7oUtE2bNpk2bVoGDx6c8ePH54QTTkiXLl0yceLEVFZW1t+4oFevXnnmmWeycuXK+mX/8pe/ZKeddipVdAAAAABamFZ1xlqS9OvX7z3flXb88cdn0KBB6dixY5J3LhndZ599cs0119TfvOCvf/1rRo8eXYrIAAAAALRAra5YW5t58+Zlr732ajDvyiuvzOc///lMnTo17dq1y4033tioO4ICAAAA0Dq0+mJt+fLlWbx4cSZMmNBgfu/evfO73/2uRKkAAAAAaOlafbHWqVOnrF69utQxAAAAACgzrermBQAAAACwqSjWAAAAAKAAxRoAAAAAFKBYAwAAAIACFGsAAAAAUIBiDQAAAAAKUKwBAAAAQAGKNQAAAAAoQLEGAAAAAAUo1gAAAACgAMUaAAAAABSgWAMAAACAAhRrAAAAAFCAYg0AAAAAClCsAQAAAEABijUAAAAAKECxBgAAAAAFKNYAAAAAoADFGgAAAAAUoFgDAAAAgAIUawAAAABQgGINAAAAAApQrAEAAABAAYo1AAAAAChAsQYAAAAABSjWAAAAAKAAxRoAAAAAFKBYAwAAAIACFGsAAAAAUIBiDQAAAAAKUKwBAAAAQAGKNQAAAAAooNUWa7W1tZkyZUr69u2bDh06ZOjQoampqUn//v0zbty4UscDAAAAoIWrKnWAUhk7dmxmzJiR888/PyNGjMicOXNy3HHH5bnnnsuZZ55Z6ngAAAAAtHCtsli78cYbc91116W6ujqjRo1KkowePTrz58/PjBkzMnz48BInBAAAAKCla5WXgk6aNCmHHHJIfam2Rp8+fdK2bdsMGTIkSfK1r30t/fr1S5s2bTJ9+vRSRAUAAACghWp1Z6wtXbo0CxcuzBlnnPGe55YsWZLBgwenffv2SZJDDjkkn//853PiiSe+r3XU1NQkSSoqKjY+MAAAAADNqq6urlHjWmWxliTdunVrMH/FihWpqanJoYceWj/vIx/5SLNmAwAAAKB8tLpirUuXLkmSxYsX57DDDquff/HFF2fZsmUZMWLERq9jzSWm1dXVG/1aAAAAALRMra5Y6927d4YMGZJJkyZl2223TY8ePTJ9+vTMnDkzSTZJsQYAAADA5q/V3bygTZs2mTZtWgYPHpzx48fnhBNOSJcuXTJx4sRUVlbW37gAAAAAANan1Z2xliT9+vXL7NmzG8w7/vjjM2jQoHTs2LFEqQAAAAAoJ63ujLV1mTdv3nsuAz3//PPTs2fP3H333TnllFPSs2fPPPbYYyVKCAAAAEBLolhLsnz58ixevDjDhw9vMP+iiy7K0qVLs3LlyrzwwgtZunRpdt111xKlBAAAAKAlaZWXgv6jTp06ZfXq1aWOAQAAAEAZccYaAAAAABSgWAMAAACAAhRrAAAAAFCAYg0AAAAAClCsAQAAAEABijUAAAAAKECxBgAAAAAFKNYAAAAAoADFGgAAAAAUoFgDAAAAgAIUawAAAABQgGINAAAAAApQrAEAAABAAYo1AAAAAChAsQYAAAAABSjWAAAAAKAAxRoAAAAAFKBYAwAAAIACFGsAAAAAUIBiDQAAAAAKUKwBAAAAQAGKNQAAAAAooKrUAVqz008/PQsWLCjJuocNG5apU6eWZN0AAAAAmwPFWgktWLAgNTU1pY4BAAAAQAEuBQUAAACAAhRrAAAAAFCAYg0AAAAAClCsAQAAAEABijUAAAAAKECxBgAAAAAFKNbKUFVVVbbddtt07tw5FRUV6x3boUOH7Lnnns2UDAAAAKD1UKyViUGDBuWSSy7J3Llz8/rrr+eFF17IizgJGEEAACAASURBVC++mFdeeSU1NTU577zz0q1btwbLdOjQITfffHOqq6tz4IEHlig5AAAAwOap1RZrtbW1mTJlSvr27ZsOHTpk6NChqampSf/+/TNu3LhSx6u30047ZebMmXnggQdyxhlnZOTIkamqqsqLL76Yl19+OVtuuWX222+/XHTRRVmyZEl+8IMfZMstt6wv1Q466KC8/PLL+dvf/lbqtwIAAACwWWm1xdrYsWNz0UUX5ZRTTsmsWbMyZsyYHHfccXn88cczYsSIUsdLkhx77LG5//77c+ihh+a1117LFVdckVGjRmXrrbfOdtttl86dO6dr16458sgjM3369FRUVOTUU0/NwoULU11dnYMOOihPP/10DjjggDz00EOlfjsAAAAAm5WqUgcohRtvvDHXXXddqqurM2rUqCTJ6NGjM3/+/MyYMSPDhw8vccLkc5/7XK677rokybRp0zJx4sQ899xz7xn33HPP5ZZbbsktt9ySQYMG5Sc/+UlGjhyZXr165YUXXlCqAQAAADSRVnnG2qRJk3LIIYfUl2pr9OnTJ23bts2QIUPy0ksv5Ygjjki/fv0ydOjQfPzjH8+jjz7aLPlGjhyZq6++Okly9tlnZ8yYMWst1f7R448/npdffrn+57q6ujzzzDNNlhMAAACgNWt1xdrSpUuzcOHCHHPMMe95bsmSJRk8eHDat2+fioqKnH766Vm8eHH+/Oc/54gjjsgJJ5zQ5PnatWuX6667LlVVVZk6dWouvvjiRi235jvVPvaxj+Xpp5/O3Llz06VLl1x22WVNnBgAAACglaprZe6+++66JHX/8z//02D+G2+8Ude9e/e6E088ca3LzZ07t65Hjx6NWkeSwtPnPve5urq6urqHH364rkOHDo1apkOHDnW33nprXV1dXd2yZcvqBg4cWLfLLrvUvf7663V1dXV1gwYN2qhMJpPJZDKZTCaTyWQymUytaWqsVnfGWpcuXZIkixcvbjD/4osvzrJly9Z544KpU6fmE5/4RJPnmzBhQpLkP/7jP/Lmm29ucPy77/757hsV/OUvf6n/jrY1rwkAAADAplPxf2dYtRq1tbXZY489smzZskyZMiU9evTI9OnTM3PmzCxZsiT33HNP9txzzwbLXHjhhZk1a1buuOOObLHFFhtcx/77758kqa6u3uC4mpqa+p+33377PPvss1m+fHm23377DRZr6yrV1thjjz0yf/78PPHEE9lll10aLDtq1KgN5gMAAABg3VrdGWtt2rTJtGnTMnjw4IwfPz4nnHBCunTpkokTJ6aysjJDhgxpMP6b3/xmbrnllvzmN79pVKm2MdacLfenP/1po0u1JPnzn/+c119/PTvvvHO22267JssNAAAA0BpVlTpAKfTr1y+zZ89uMO/444/PoEGD0rFjx/p5F154YWbOnJnbbrst22yzTZPn2nXXXZMkDz744HrHNaZUS945O2/RokUZMWJEevfunRdeeKFJcgMAAAC0Rq2yWFubefPmZa+99qr/+YEHHsgFF1yQXXfdtf7SziRZsGBBk2WYMWNGHnjggSxbtmy940aMGJFRo0att1RbY8KECenQoUMWLVq0qeMCAAAAtGqKtSTLly/P4sWLG3zJ/+DBg9PcXz+3bNmyDZZqSfL73/8+n/jEJ/LEE0+st1RLkj/+8Y+bKh4AAAAA76JYS9KpU6esXr261DHel1mzZpU6AgAAAECr1upuXgAAAAAAm4JiDQAAAAAKUKwBAAAAQAGKNQAAAAAoQLEGAAAAAAUo1gAAAACgAMUaAAAAABSgWAMAAACAAqpKHaA1GzZs2Pte5vEly5IkvXt1b/C4OdYNAAAAwN8p1kpo6tSp73uZc759VZJk8tnjGjwGAAAAoHm5FBQAAAAAClCsAQAAAEABijUAAAAAKECxBgAAAAAFKNYAAAAAoADFGgAAAAAUoFgDAAAAgAIUawAAAABQgGINAAAAAApQrAEAAABAAYo1AAAAAChAsQYAAAAABSjWAAAAAKCAqlIHoPycfvrpWbBgQbOvd9iwYZk6dWqzrxcAAABgbRRrvG8LFixITU1NqWMAAAAAlJRLQQEAAACgAMUaAAAAABSgWAMAAACAAhRrAAAAAFCAYg0AAAAAClCsAQAAAEABVaUOwOatXbt22WeffTJy5Mj07ds37dq1y2uvvZb77rsvf/jDH3Lfffe9Z5ltttkmN998cy666KLcdtttJUgNAAAAsGGKNZrEdtttl7POOisnnXRStt9++3WO+/Of/5zLLrss1157bWpra7PNNtvktttuy8iRI/Pd7343w4YNS21tbTMmBwAAAGicVnspaG1tbaZMmZK+ffumQ4cOGTp0aGpqatK/f/+MGzeu1PHK2ic/+ck8+OCDOffcc7P99ttn4cKFueKKKzJhwoSccMIJ+fKXv5wbbrghzz77bIYOHZqrr746d911V0aOHFlfqj366KM57LDDlGoAAABAi9Vqz1gbO3ZsZsyYkfPPPz8jRozInDlzctxxx+W5557LmWeeWep4Zevss8/O5MmTkyTV1dX5t3/7t9x9991rHduuXbuMGTMmkydPzt5775277747VVVVefTRRzN69OgsXbq0OaMDAAAAvC+tsli78cYbc91116W6ujqjRo1KkowePTrz58/PjBkzMnz48BInLE+nnHJKJk+enNra2px11lm59NJLU1dXt87xb731Vq6//vr87ne/y4IFC9K5c+esXr06J598slINAAAAaPFa5aWgkyZNyiGHHFJfqq3Rp0+ftG3bNkOGDEmSfOITn8iQIUOyxx575MMf/nB++9vfliJuWejbt2++973vJXnnbMCpU6eut1RbY5tttslNN92Uzp07Z/ny5amsrMy3v/3tVFZWNnVkAAAAgI1T18o89dRTdUnqrrnmmvc896lPfapu2LBh9T+/9NJL9Y/nz59ft9VWW9WtWrVqg+tI0mTT2ZN/WHf25B++53Gpp9/85jd1dXV1dT/5yU8avcw222xTN3fu3Lq6urq6Rx55pG7AgAF1Tz75ZF1dXV3dhAkTSv6eTCaTyWQymUwmk8lkMrXOqbFa3Rlray4x7NatW4P5K1asSE1NTYPLQLfZZpv6x6+88koqKioadRZWazNgwIAcfPDBef3113PGGWc0apl33/1zzXeqLVq0KF/+8peTJF/84hebMjIAAADARmt137HWpUuXJMnixYtz2GGH1c+/+OKLs2zZsowYMaLB+Ik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          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "-------------------------------\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 1152x576 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {},
          "execution_count": 36
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "## building the graph from adjacency matrix for visual representation\n",
        "G = nx.Graph()\n",
        "G = nx.from_numpy_array(mat)\n",
        "nx.draw(G, with_labels=True, alpha=0.8, node_size=500)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 222
        },
        "id": "KsSdy8ijRgLL",
        "outputId": "c73e679b-b6ef-4aa9-9872-39031721baa7"
      },
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "error",
          "ename": "NameError",
          "evalue": "ignored",
          "traceback": [
            "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
            "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
            "\u001b[0;32m<ipython-input-1-b86fdacabc79>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0;31m## building the graph from adjacency matrix for visual representation\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mG\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mGraph\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      3\u001b[0m \u001b[0mG\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfrom_numpy_array\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmat\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      4\u001b[0m \u001b[0mnx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdraw\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mG\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mwith_labels\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0malpha\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0.8\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnode_size\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m500\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
            "\u001b[0;31mNameError\u001b[0m: name 'nx' is not defined"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "## use Oracle to build QAE and evaluate probabaility for state 'STATELIST'\n",
        "name = \"test\"\n",
        "STATELIST = [\"11111111\"] # we search for the joint probability where all 8 parameters are triggered\n",
        "Nshots = 100000 # number of shots\n",
        "QAEqubits = 12 # QAE bit precision --> 8 bit strings at the end of the measurement to differentiate 2^8 = 265 bins\n",
        "\n",
        "\n",
        "#rm = BRMlist(RIlist,TPlist,model2gate=True)\n",
        "rm, mat = brm(nodes, edges, probsNodes, probsEdges, model2gate=True) \n",
        "ora = brmoracle(\"ora\",rm,len(nodes),0,STATELIST)\n",
        "QAE=qae(QAEqubits,len(nodes),len(nodes),rm,ora)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "URNLmbppRtF3",
        "outputId": "5190c224-5913-49ac-cb36-9c4762b79701"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "NOTE: Item 2 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 3 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 4 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n",
            "NOTE: Item 5 is triggered by more than one other RI!\n",
            "ITEM:\n",
            "ITEM:\n",
            "ITEM:\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "## execution with local quantum simulator (qasm simulator)\n",
        "backend = Aer.get_backend('qasm_simulator')\n",
        "job = execute(QAE, backend,shots=Nshots)\n",
        "result=job.result()\n",
        "counts=job.result().get_counts()\n",
        "plot_histogram(counts,figsize=(70,30))"
      ],
      "metadata": {
        "id": "98ixVKlqR66o"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# post processing: we see two different peaks from the QAE\n",
        "\n",
        "showQAEoutput(counts,STATELIST,QAEqubits)"
      ],
      "metadata": {
        "id": "H5cYNrUKUwS8"
      },
      "execution_count": null,
      "outputs": []
    }
  ],
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.7.4"
    },
    "colab": {
      "name": "Risk_Analysis_Hackathon.ipynb",
      "provenance": [],
      "include_colab_link": true
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}