LLMs-Pharmaceutical / Git / [404218] /Code/PennyLane/Benchmarking Devices II/lightning.kokkos 25 qubit T4 54.07s (1) kkawchak.ipynb

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[404218]: / Code / PennyLane / Benchmarking Devices II / lightning.kokkos 25 qubit T4 54.07s (1) kkawchak.ipynb
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{
  "cells": [
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {
        "id": "rqYMIG5_jAmf",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "outputId": "fcaf9ccb-b573-451e-d8e1-ccdd8a791e6a"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Time in seconds since beginning of run: 1701156576.3618758\n",
            "Tue Nov 28 07:29:36 2023\n"
          ]
        }
      ],
      "source": [
        "# This cell is added by sphinx-gallery\n",
        "# It can be customized to whatever you like\n",
        "%matplotlib inline\n",
        "\n",
        "# !pip install pennylane custatevec-cu11 pennylane-lightning-kokkos\n",
        "\n",
        "import time\n",
        "seconds = time.time()\n",
        "print(\"Time in seconds since beginning of run:\", seconds)\n",
        "local_time = time.ctime(seconds)\n",
        "print(local_time)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "id": "30MBcn8AjAmh",
        "outputId": "8242b0e9-f9ea-44f1-bba7-769597fd0ba3"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[[0.05 0.32 0.87]\n",
            " [0.32 0.3  0.53]\n",
            " [0.87 0.53 0.63]]\n"
          ]
        }
      ],
      "source": [
        "import numpy as np\n",
        "import networkx as nx\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "\n",
        "def create_data_point(n):\n",
        "    \"\"\"\n",
        "    Returns a random undirected adjacency matrix of dimension (n,n).\n",
        "    The diagonal elements are interpreted as node attributes.\n",
        "    \"\"\"\n",
        "    mat = np.random.rand(n, n)\n",
        "    A = (mat + np.transpose(mat))/2\n",
        "    return np.round(A, decimals=2)\n",
        "\n",
        "A = create_data_point(3)\n",
        "print(A)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fZNWu6j_jAmh"
      },
      "source": [
        "Let\\'s also write a function to generate permuted versions of this\n",
        "adjacency matrix.\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "id": "9AlMlrsVjAmi",
        "outputId": "a205cff6-617e-48e1-b976-8ddcacdff8f0"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[[0.3  0.53 0.32]\n",
            " [0.53 0.63 0.87]\n",
            " [0.32 0.87 0.05]]\n"
          ]
        }
      ],
      "source": [
        "def permute(A, permutation):\n",
        "    \"\"\"\n",
        "    Returns a copy of A with rows and columns swapped according to permutation.\n",
        "    For example, the permutation [1, 2, 0] swaps 0->1, 1->2, 2->0.\n",
        "    \"\"\"\n",
        "\n",
        "    P = np.zeros((len(A), len(A)))\n",
        "    for i,j in enumerate(permutation):\n",
        "        P[i,j] = 1\n",
        "\n",
        "    return P @ A @ np.transpose(P)\n",
        "\n",
        "A_perm = permute(A, [1, 2, 0])\n",
        "print(A_perm)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Js9CqRTZjAmi"
      },
      "source": [
        "If we create [networkx]{.title-ref} graphs from both adjacency matrices\n",
        "and plot them, we see that they are identical as claimed.\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 487
        },
        "id": "Q7N1C_MKjAmi",
        "outputId": "a9a2c85e-f222-46ad-c293-602dfb1c2f5f"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "fig, (ax1, ax2) = plt.subplots(1, 2)\n",
        "\n",
        "# interpret diagonal of matrix as node attributes\n",
        "node_labels = {n: A[n,n] for n in range(len(A))}\n",
        "np.fill_diagonal(A, np.zeros(len(A)))\n",
        "\n",
        "G1 = nx.Graph(A)\n",
        "pos1=nx.spring_layout(G1)\n",
        "nx.draw(G1, pos1, labels=node_labels, ax=ax1, node_size = 800, node_color = \"#ACE3FF\")\n",
        "edge_labels = nx.get_edge_attributes(G1,'weight')\n",
        "nx.draw_networkx_edge_labels(G1,pos1,edge_labels=edge_labels, ax=ax1)\n",
        "\n",
        "# interpret diagonal of permuted matrix as node attributes\n",
        "node_labels = {n: A_perm[n,n] for n in range(len(A_perm))}\n",
        "np.fill_diagonal(A_perm, np.zeros(len(A)))\n",
        "\n",
        "G2 = nx.Graph(A_perm)\n",
        "pos2=nx.spring_layout(G2)\n",
        "nx.draw(G2, pos2, labels=node_labels, ax=ax2, node_size = 800, node_color = \"#ACE3FF\")\n",
        "edge_labels = nx.get_edge_attributes(G2,'weight')\n",
        "nx.draw_networkx_edge_labels(G2,pos2,edge_labels=edge_labels, ax=ax2)\n",
        "\n",
        "ax1.set_xlim([1.2*x for x in ax1.get_xlim()])\n",
        "ax2.set_xlim([1.2*x for x in ax2.get_xlim()])\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {
        "id": "eUhWZ9_3jAmi"
      },
      "outputs": [],
      "source": [
        "import pennylane as qml\n",
        "\n",
        "def perm_equivariant_embedding(A, betas, gammas):\n",
        "    \"\"\"\n",
        "    Ansatz to embedd a graph with node and edge weights into a quantum state.\n",
        "\n",
        "    The adjacency matrix A contains the edge weights on the off-diagonal,\n",
        "    as well as the node attributes on the diagonal.\n",
        "\n",
        "    The embedding contains trainable weights 'betas' and 'gammas'.\n",
        "    \"\"\"\n",
        "    n_nodes = len(A)\n",
        "    n_layers = len(betas) # infer the number of layers from the parameters\n",
        "\n",
        "    # initialise in the plus state\n",
        "    for i in range(n_nodes):\n",
        "        qml.Hadamard(i)\n",
        "\n",
        "    for l in range(n_layers):\n",
        "\n",
        "        for i in range(n_nodes):\n",
        "            for j in range(i):\n",
        "            \t# factor of 2 due to definition of gate\n",
        "                qml.IsingZZ(2*gammas[l]*A[i,j], wires=[i,j])\n",
        "\n",
        "        for i in range(n_nodes):\n",
        "            qml.RX(A[i,i]*betas[l], wires=i)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "glOVsqRvjAmi"
      },
      "source": [
        "We can use this ansatz in a circuit.\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 65
        },
        "id": "0oMs3Tu0jAmi",
        "outputId": "7357ba60-a9c6-4897-e811-ae859723d15f"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 58400x2600 with 1 Axes>"
            ],
            "image/png": 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ul3P33Xd3jM8rlUo++tGPpiiKbLXVVkmScePGJfm/78cvfvGLVKvVXHzxxd2a5yOPPDIbbLBBxo8fn0UXXbTlvUUWWSTjxo3LBhtskO985zvp169fjj322Ky33nr5/e9/3+nxTj311PTr1y833XRTrr322lx99dX529/+lk022STnnXdevvKVr6Qoim4t0yxvfS49//zzSZJzzjkn5XI5n/jEJ1KpVLL55punVqvly1/+ctrb2/PVr341jUYjEydO7LQ9f+CBB3ok7/Ort1/PYcOGpdFo5J577kmj0ci4ceNSqVRy0EEHpVwu51vf+lba2tqy2WabtYw799tvv7S3t+fuu+/u7SLNs94ax5g+fXqKosgNN9yQZrOZrbfeOs1mM5tttlnq9Xp23XXXTuNFEyZMSKVSya9+9as0Go289tprvV2sedpDDz2UZrOZyy+/PEVR5Mwzz+x0/mHWtthii6VcLmevvfZq6Q/fddddaWtry2OPPdat+e3q9uOXv/zl+9q6s3yd9Wvfa/vsZz+bWq2W8ePHpyiKbLPNNmk2mx3tuP7uB9dZfdx+++0t348vfvGLaTab2WGHHcRL+oBZ82J33XVXkuR73/te2tvb87vf/a5lnHLrrbemra0tJ510Usv+9dZbL9VqNUcccUSazWZWWmmlln5Zv379OuZbKpVKnn766Zb74YILLuiIdyfJEUcckSS5++67U6/Xs9Zaa6UoisyYMWO28fNZ29SpU9NoNPL666+nXq+nvb09RVHksssuS1tbW44++uiO+dG35mPPPfdsaT/33HPPVKvV/PjHP+6Y7yqXy9loo43SaDSyyiqrpF6v54gjjkilUslpp53W6bzsJptskkajkZdffjmVSiUvvfRSyuVyZsyYkUajkf79+6coijz//PMd81Bv/R4dcMABLfkaNWpUy3ne7TnNe2s0Gvn0pz+dJLnvvvuSJJ/85CfnqF2ZOHFiS/zkpJNOSpJMmjSpW/Pc1e35+eefnxEjRuSGG27IoYcemmuuuSarrbZafvzjH+fkk0/ObrvtliFDhmSNNdbIpEmTsuSSS+bXv/51t5StKIp86lOfSr1ez+OPP56iKPJf//Vfs53PWnjhhVMul7PNNtt0rI+o1WrZcsstU6vV8vTTT3dLXhcEbx1/XHvttS3Py7POOivVajUnnnjiO9YRtLe3Z88990ytVst+++2XRqORyZMnp9Fo5JJLLuntYs2zGo1GLrvsslSr1dxzzz1pa2vL5z73ubS3t+emm25KvV7PpZdemkajkb/85S89Fsfh3c2cOTPNZjMTJ05MURTZaaedWtqNWdustbA/+9nPUq/Xs88++7S08yNHjkySHHbYYUmSK6+8crbrHI466qh3rO+oVqtpNBqp1Wr5+9//nnq9nq9+9asd/Ysk2WuvvVKv1/P66693Gl/bcsstU6lUcuONN7a8/61vfSvVajX33ntvx5rLWf2izuISQ4YM6YiPl8vlPPPMMx3lq1QqWWuttdJsNnPIIYd0+vzfZ599WvaPHj067e3tmTp1aiqVSkaMGJGiKDJ9+vQ0m81cdtllnR7n8ccfT1tbW2699daW6/nv//7vLf2AE088MY1GI6uvvnoajUYef/zxNBqN/OY3v5ltv/T8889PW1tbBg4cmHK5nGeffTblcjk//OEP097eniSpVCrZa6+9Oq3P6667ruX5eswxx3RajgEDBqTRaGT//fdPrVbLlVde2XKf7bLLLi31teOOO6a9vT3rrrtuarVaTj/99CT/F/974YUXUq1Wc+GFF3a6/mlW3/qwww5LuVzOjjvu2HK//eQnP0mz2cxvfvObtLe35/XXX0+j0ciwYcNSFEVuv/32tLW15frrr0+1Ws1TTz2V5F/r/8rlcq677rqW69FoNFIul3P99dd36/e1q/tXSTJo0KB86UtfytixY9+xzVqPucoqq7Ts7w5nn312vve973Ws961Wq/nFL36RSqWSQYMGJUl++9vfpq2tLZ/85Cdb6nP33XdPs9nMuHHj0mg0MnTo0DSbzZY19rw/jUYjF198cdrb23P77ben0WhkzJgxqVQqOf/881u+ryNGjEij0ci5556bcrmcRRddNM1mMyeddFLL80D8au7Muo4nnHBCy/1/xBFHpF6v57/+679Sr9fzs5/9rKM+ZtcOq48P7uyzz84tt9ySWq2WadOmpa2tLYccckgajUa22mqrFEWRT3ziE2k2m9lvv/16O7skqdVqLf2OZ599ttN4yrhx49LW1pYf/ehHaTabWXXVVZMkSy211Byt331rv7hcLmezzTZLtVrNRhttlKIoUi6X097enuOOOy61Wi0/+9nP0t7envvuuy9tbW3ZZZddUq1W86EPfSiVSiVrrrlmiqLI9ttvn3K5nNtvvz3NZjMf//jHU61Wc/XVVyf5v+fD//t//6/j73/q9Xp+97vfpV6v57777msp7zHHHJNarZbll18+jUYj3/3ud9NsNrPsssum2WymUqmkXq/n5ptvbjn+L3/5y5TL5XzhC19oeb5PmzYtlUolM2fOTHt7e8aOHZtGo5FTTz215bp9/OMfT71e7/hbkrdft+HDh7e0L7Pmzdva2ma7zv7II49MtVrNgQcemEqlksUWW6yl/7vddtulWq3mzDPP7OjXVKvVbL/99rNdz3788ce3lH/W1mw2UxRFFl100ZbybbHFFp32u1deeeVOx1cbbrhhx33SaDRy8MEHp9Fo5JZbbkmz2cytt97a6fnfbXv22WfTbDbzzW9+M21tbfnlL3+ZZrOZj3zkIy31/9BDD6WtrS3bb799qtVqNt1007S3t2fxxRdPe3t7Hn744VSr1fz2t7/tiBPX6/UcfvjhSZJ6vd4Sd7niiivS3t6eE088sdN4c//+/dNsNjN06NCW6/3Nb35ztuX79a9/naIoUq/XW/J/6qmnplwu58gjj0ylUsnYsWM75j3L5XKOOeaYTq/3rG2llVZKuVxOs9lMtVpN//79U6vVstpqq3XMZ9dqtXznO9+Zo+t/7733plKpJPnX+qq//vWvqdVq+dKXvpRGo5F111230/ti00037VjXXq1W89e//jX1ej0rrrhi2tvb87//+78d66zeet1m9W/XXnvt1Gq1NJvNbn+Gzq/eel0PO+ywNBqNfPSjH021Ws1JJ52Uoiiy4YYbpl6vZ6+99kq1Wk17e3uazWZOP/30lufSxRdfnHK5rH81F84+++xssskmKZfLSdIRb6/VavnnP/+ZRqORAw88MI1GI/fdd1/q9XoOOOCAlufR/vvv3/L9Vx9z58orr0yj0cjRRx+dZrOZ8ePHp9FoZMstt+yIG836+6JqtZonnngitVotr7/+eks7v8suu6TZbHb8XSnv36y/B202m7nuuutSrVaz0047vet8lHu/97366qsd66er1Wp23HHHNBqN3H333Wlra8uLL77Y8Xdyb+3nzJgxo6V/ueSSS7a8v+aaa6bRaOTpp59OvV7P1VdfnWazmbFjx7Y8/zbddNNUKpVMmjQplUolzzzzTNra2rLDDjukKIo888wzqVQq+cEPfpBKpZIf/ehHKYoir7zySpLkC1/4QprNZrbccstO+8s/+9nP0tbWllVWWSW1Wi0PP/xwyuVynnrqqdTr9UyePDnt7e2ZOXNmS/7vuOOOjra0XC5n4sSJLcdfZZVVUhRFXn311dTr9Vx++eVJkokTJ6ZWq+Wll15KtVrN2Wef3XL/H3zwwSmXyzn44INbrsM///nPVKvV7LbbbqlUKhk1alSKosg3vvGNTsd3q666aur1evr3799y/H/+859pa2vLCSeckHq9nuWWWy5FUeTee+9t6ectu+yyLe3Sk08+OUd/Lzxz5szUarVst912aTQa+d73vtdp//HWW29tOd4ee+yRcrmchRZaqOU6TpkyZbb94Vnbnnvu2XEftLW15b777kuz2cw555yTRqORZrOZer2er3zlK2lvb88+++yTWq2W3//+9y39/m222ablel1xxRWpVqtZd911W/bvuOOOHetvqtVqzj///JZ8Pv/886lWq9l44407HVcss8wyqVarefnllzvmWarVaoYOHZqiKDJw4MBOx/mDBw9OuVzOL37xi477slKp5Bvf+Eaq1WpWWGGFNJvN3HPPPUmSz33uc2k0GllppZVSrVZz3XXXpVwu58knn+y4n96a71NOOaXTeu7X718/EXTAAQe0tIunnnpqx3itVqvlrLPOSrlczuuvv56iKPLZz3425XI5yyyzTBqNRjbeeOM0m82suOKKaTQaeeONN1Kv1zNhwoSW6/Tv//7vLfn605/+lHK5nAkTJqStrS0TJ05Mkvz0pz9NvV7PsssumyS59NJL097enosuuijJ/41/rr766k6v53PPPdexzqHRaOS4447rmO/trF1affXVU6lUctNNN6VcLneM8ZZddtk0Go386le/SqVSyRNPPJEk2XzzzVOpVPL5z38+9Xo9Rx55ZMv1Gz58eMv3bPTo0S3X4emnn06j0ciee+6ZRqORhx56qCVfSy65ZKfrZf/0pz8lScaMGdPx+wttbW35xje+0TG+mzVPNyffr0ceeaRjrrOtrS1PPfVUGo1GLr/88pbv64MPPphqtZpLL700SfLYY4+15O+UU07pNH5y6KGHplarafPnwtlnn5211147zWYz++yzT5LkzDPPTL1ez//8z/90et2PPPLI1Gq13HzzzSmKIj/96U9Tq9Vy4IEHptlsdsTp+GAOP/zwlufpxhtv3PL6S1/6Usv3vb29PW1tbWk0Gp0+f/jgGo1Gfv/736e9vT3HH398y3X/1re+lVqtljvuuKOlP7X//vun0WjkK1/5SiqVSiqVStra2jJ+/Pi0tbV5Xs2Ft7Yb6623Xks7ceSRR3b8/WaSjnE7vWvW33xOnz49bW1tOfDAA1OtVvOlL32ppf4OPPDAJMmvf/3r1Ov1/OMf/0hRFDn//PPTbDaz0047zfbvfNZ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/TbVazYgRI1IURf7yl7+kXC5n9913T7lczsMPP9x2vjabzXR1deUb3/hGGo1GNthgg7RarZx55plJknK53OPnjh/96Ec9fg567bHddtul1WplypQpaTQaWWihhXocz1VXXTW1Wi0XXXRR236uvPLKJMlBBx2Ucrmciy++OM1mM8OGDeu+P379+/kzn/lMj+fBD37wg1QqlfzlL39JpVLJ1ltvnVarlfvvvz9FUeTDH/5w98/p145FrVbL3//+97c8/1ZYYYXu+9lqtZozzjgjrVYryy+/fNt4PvbYY6nVarniiit6jO/177d6vZ7LLrssjUYjl112WffntWq1mtNPP73H+9qll166x+v59OnTU6lUMmzYsNTr9ay++uppNptZbLHFevy5e9BBB7XF9+Uvf7nt/D7ttNO6P8c3Go288sorPb5/xowZ09b/Z555pq3dxIkT09XVlZNPPjn1ej3jxo1LtVrNr371q7b+vebt3v+vj7/ZbGa77bbrsX+vPX75y19230v3dNz+9Kc/pdFo5H3ve1+S5B//+EdarVauvvrqNJvNfOELX2g7T4855pge3x9bb711ms1mnnrqqZTL5dx9991pNBpZY4010mq1MnTo0FQqlQwZMqQtjoUXXjj1ej1XXXVVWq1WPv7xj6dSqWTttdfuvt9ttVr5wAc+0P058vXvw+eee67H8+S1x7zzzts2HvPNN1/3575ms5n99tsvzWYze+65Z4qiyLBhw1Kr1fKRj3wkjUYjRx55ZLq6urL//vunVqulUqmk2WzmiSeeSKPRyNlnn52iKLL22munXq/nhBNOSKVSyQ477JCurq7svffebfH9/ve/b4t/oYUWSpK88MILSZLNNtusO8fz+nF94IEHUqlU8v73vz/1ej0/+clPehzPb33rW2m1WvnUpz7Vq/uARRZZJOVyObfffnv3/flr+ymKImPGjEmSjB8/vu38/NnPfpZqtZqll146tVotkydPniHeZrOZL37xi6lWqznooINSq9Vy7bXXpiiKnHzyyd3X+2azmaWWWuodnf8XX3xxWq1W3vOe93T/bG61WvnHP/7R43HZZpttUi6XM3HixLbzYZ999kmj0ejOjf/ud7/r8f206667zvC+bjQa2Xrrrbs/3zcajbRardRqtXz5y19uu54uueSSbcsrrrhi23XjueeeS5JMnDgx5XI5q6yySiqVSjbaaKPU6/XssssuqdVq2XPPPdNsNnPppZf2eD368Y9/3HZ+XXXVVSmXyzn44INTq9Wy3XbbpdFo5PDDD287L//xj3+kKIpcf/31b3ndPvfcc1OpVHLllVemKIq8+OKLaTab+f3vf59Go5FtttkmjUYj+++/f4/vy3322SddXV2Ze+65Uy6X88lPfjKVSiXf+c53UhRFxo0b13397uk6Uy6X09XVlb322qvHcf7Nb37TnZd7/fF+6qmnerxPueCCC1Iul7Ppppv2eP4tueSSaTabueOOO9JsNjN+/PhUKpXsvffeKZfLOeCAA9LV1ZUNN9ywbfu77bZbarVajjzyyLb1yyyzTGq1WhZffPHu8z/5v7pWq9XKqaeeOsPn4tc++7++v1/96ldTFEW22Wab1Ov1jB07No1GI4ssskgajUaOP/74Ho9fpVJpi+fYY49NrVbLE088kaIo8vzzz6fRaOSss85KvV7PNttsk1qtlmeeeabtdYccckjb+I4dOzblcjkPPvhgurq68sQTT6TZbObb3/526vV6vvvd77a9/uGHH061Ws3ZZ5/dfT1rtVrdn8G+/vWvt43f1KlTUxRFrrvuurRarXz6059Oq9XKhhtumEajkW233bbH/k6aNCmVSiU///nP02w28/jjj6fVauVDH/pQqtVqtthii9RqtYwZM6b7PvO18e3p/bXmmmumXC7nC1/4QpLk9NNPT61Wy+abb54kuffee9/y59EbH7feemsqlUp+//vfJ0k23HDDtFqtfOYzn0mS3HfffW3vx9d+Bl111VVt7/P3vOc9KZfLOfzww9NoNPLtb387zWYzp512WlqtVq699toez/+ll1469Xo91157bdv5X61WU61Wc8MNN6TRaGTttddOktx///1ptVr59a9/naIocuqpp75lfxdYYIGUy+XsuOOObeN52223paurKxdddFGKosiBBx74jq7/EyZMSLlcztxzz919PWq1WrnwwgtTFEX+/Oc/93h9ePDBB3tcf8IJJyRJnn/++bbjdOKJJ/bqvuy1x/LLL59ms5lp06al0Wjk9ttvT71ez7zzzptqtZqXXnop9Xo9Q4cOTaPRyLXXXpt6vZ599tknSbLCCiu0xbfWWmulWq3mRz/6UVqtVr7+9a8nSfbaa6+3zHO92ePjH/946vV6JkyYkKIosummm6bVauW8885rO/5f+tKX2uIYMWJE6vV6fvvb36Zarea0005LuVzOCSec0J0na7Vaueeee1Iul7PUUku1nRcf+chH2uK9+OKL287fRqORJNlyyy2TJOedd16KosjRRx+dVquVzTbbrC2+yy67LM1mM2uvvXbb+/6VV15Jq9XKuHHj0mg0suuuu6ZWq+XHP/5xiqLIAw880ON14sEHH2zbfq1WS6PRyEorrZRWq5Vms5lGo5EhQ4akWq1m0UUXTb1ez9lnn51KpZK//vWvb1oPe/1x+NKXvpRWq5UtttgilUolTzzxRPf77K0+r33rW99qi/uHP/xhj59TFlpooe7rZLVazZ577plyuZxzzjknjUYj//M//5Nms5mrr766bXt77713kmTrrbdOo9HIN77xje7r4lvdX7zZ4/7770+lUsn111/ffd40Go2sv/76bcf58ccfT1dXV5Zffvm3fJ+1Wq1UKpUccsghabVamW+++bqv+735nDt06NDUarVcd9113XXcer2e+eefP/V6PbfddluS5JhjjkmtVstvfvObtvP/xhtvTFdXV4477ri29R/5yEe6P9+2Wq188IMfbPu5MWTIkO56S6VSyZNPPtl2Ppx99tnd+e7X7v+T5Pbbb0+j0chqq62Woigybdq0Xl2HbrnlljSbzfznP/9Jo9FIrVZLURS56KKL0tXVlXHjxnXXR18fxw477NB2Puywww6pVqs5+eSTu+td5XI56623XprNZpZffvk0Go0cdNBBqVQqOemkk3q8rn7iE59Is9nMv/71r1Qqlbz44ospl8uZNm1ams1m5pprrhRFkeeee667DvX6822PPfZoi2vjjTdu289WW23VPZ7NZjMbbbRRkmTy5Mmp1Wr56le/2uP7/Xe/+10ajUamTZuWcrmcm266KUny61//OuVyOdVqtTsv1Gw2M2XKlLafwzvvvHO6urpy6KGHplwu58tf/nJ3nfX14z9lypQURZF6vZ5qtZptt902SbL66qu3tdt3331TFEUWWGCBGT6fvb6/SdJsNjNq1KgURZHf/va3qdfrGTFiRKrVag444IC27a677rrdn1fq9Xq+853vpFwuZ5999kmlUslaa62VJPnb3/6WJPl//+//9er9fumll7Ydj+OOOy5Jsv7663fnv3u6jzj33HNTrVaz2267pVKpZKuttkpRFPnXv/6VoigyadKk7vubrq6uDBs2LM1mM+eff373z716vZ6ll146lUolt99+e8rlcs4+++zUarVMmTIlrVYrV111Vdv+l1xyyTQajRx66KHdef3XH+cVV1yxV58/1lprrTSbzVxyySXdn4+bzWZ3jeq1dksvvXQajUY233zzt8y7LrPMMkmSE088sTs/12g08sgjj6Qoivzyl798y5/zw4YN675/eW1+RL1ez6c+9anU6/VMnjy5x/P/V7/6Vdt2v/SlLyVJfvzjH3e/32u1WkaNGtWdL2+1Wjn//PPbXnfllVf2OM5/+MMfUqlUcuCBB6Zer+dzn/tciqLonmPz6quvptVq5cADD0ytVsv06dPbjv/GG2+cRqOR3Xffve1zwvvf//7u+BqNRsaPH59Wq5XjjjvuLc/bH/7wh6lUKvnWt76Ver2eb37zm+nq6srPf/7zlMvlnHXWWd2f3xuNRhZbbLG26+3VV1/ddr08/fTTU61Wc/TRR88wj6BWq2WHHXZIvV7Pbrvtlmazmauuuqr7uvn682H8+PHd1/nX93+llVZKtVrN+9///rRarfztb39LpVLJmWeemUql0v14s/5ecsklqVQq2WeffVKv15MkjUYjO+64Y2q1WoYPH972c3PYsGG9+vly/fXXd9/fJcnGG2+cZrPZPUfwT3/6U9t2LrzwwnR1dWXNNddsOw+/8pWvpKurKwcffHAajUaWXHLJJMl73vOe1Gq17LHHHm3xjRw5MpVKJRdddFGq1WruuOOOdHV1ZZNNNumukzUajVx44YVpNpu57777UhRFDj/88DSbzey6665t27vvvvtmmB/W0/t/++23T5Lsueeevfq8vf/++6fRaOSCCy5oOy8uuOCCNJvNbL/99mk2mxk3blyazWY+97nPJUkeffTRtv2/9NJLbe+rarXa4/6PP/74VCqVbLLJJmk0GjnkkEPa+vmNb3yjx/Pk73//e6rVatZee+20Wq2Uy+UURZGPfvSjSZJXXnmlOz/f0+erH/3oRz3Gc+ihh3bXS6vVaq655pq0Wq1ceumlKYoiW221VY/Xi9fmwp522mlpNBrZeeed28ZnnXXWSZLsv//+SZJLLrnkLT/3HXLIITPM76hWq2k2m6nX63nmmWfSaDSy5557dp+XSbLjjjum0WjkP//5T4/H7VOf+lQqlUomT57c9vwBBxyQarWaO++8s3vO5Wufi3q6/i644IJptVpZY401Ui6X89RTT3X3r1KpZLXVVkur1cq+++7b43Heeeed29aPHj06tVott9xySyqVSkaOHJmiKDJ16tS0Wq1cdNFFPW7nkUceSVdXV2688ca24/nVr3617Xp69NFHp9lsZqWVVkqz2cwjjzySZrOZyy+//C2vG2eddVa6uroyzzzzpFwu5+mnn+6+b6zVakmSSqWSHXfcscfxvOaaa9reR4ceemiP/Rg6dGiazWZ233331Ov1XHLJJW3n2TbbbNM2XltuuWVqtVrWXHPN1Ov1nHLKKW3vv+effz7VajXnnHNOj3W/1z5b77///vn/2LvzMDuqMn/g30sSSAgQRBABZZOwKDgDRkEIA6jgKAgqo+IAAQVFwRVHUIEhCIqgoo6KbMomgmzqDxdWZUkQZREFF0xYgogiggRC733r90dybtJN36Q79Jbk83kenuZW1a06Vafq1Kn3PXXT2tqaffbZp8f5dtppp6Ver+cHP/hBOjo6Mm/evHR3d2fddddNVVW59dZb09LSkmuvvTbt7e2ZM2dOkvnj/1pbW3PNNdf0OB6lj7Hffvulq6sr06dPT2dnZ84999x0dnbmrLPO6lHOrbbaqs/zd7fddmu0s11dXdlqq62SzI97LFrfc+fOXez95T3veU+P/d1tt90az+mLuw+vvfbafcaLnn766Ub/u6OjI0899VTq9Xp+9KMfpbOzMy9+8YsHNO78ySefTJKcc845PY7jiSee2Bjv297enrPPPjttbW2ZOHFikuSHP/xhWlpa8opXvKLH/r3jHe9IvV7P8ccfn+7u7rzgBS9IvV7PlClTUlVVDjrooHR1deXSSy/ts33bcsst09nZmb/85S9pbW3NNttsk66urhx00EHp7u7OxRdfnCR54xvf2KO9+NznPtfn+l760pemtbU1e++9d7q6unL33Xeno6Mjm2++eaqqyite8Yoe6/ne9773nOurs7Mzm2yySaP/XK/XM378+CTJ3/72t3R3d+epp55qxO/6ug522WWXxY7T23777VOv17PKKqv0WG6ttdZKe3t7zjvvvHR0dOTWW29t3B/b2tpyzjnn9KjvjTfeON3d3TnzzDPT2tqaVVddtdHv66s92Hzzzfs8z97xjnc04tIlr9je3p6nn346VVXlbW97W5/9gAceeCBVVeW4447rsR9f/vKX09HRkRkzZqStrS0vf/nLU1VV1lprrX6dr1/72tfS2tqaz33uc41xPS0tLfnKV76S1tbWvOpVr0pbW1umTJkyoDhk+W+HHXZIW1tbvvjFL6a9vT3XX399qqrKhz70odTr9ayzzjqN8dqL7vcJJ5zQ4/z/5Cc/ma6urnzve99LV1dXvvGNbzTqoz/xl9e//vU96mnKlCmN9rC9vT2TJ09OVVX54Ac/uFT7eeGFF6arqyvHHXdcn+fDm9/85h7X0Zw5c3p8vu+++5Ikd955Zzo7OzN37txUVZW77rornZ2d2XvvvXuU66yzzupxHhx++OFpbW3N1KlTe9R7d3d3uru7c9JJJ6WzszO77rprn9fz73//+z7PuxtvvDGdnZ25++6709LSkg996EPp7u7OG97whlRVlZe//OWp1+t573vfmyQ58MAD097eng022KDx/La4+Hx5n+qLX/xikuTf//3f09nZmR/84Afp7u7Opz71qbS0tOQ1r3lNWltbc8ABB6SzszO//e1v+4z37Lbbbuno6Mg111yT7u7ufP7zn0+9Xs9b3/rWtLW1Zfz48Y28y6LfP/roo1NVVU4++eR0dHRk1qxZ6ejoyEEHHZR6vZ7rr78+STJr1qwex/2hhx5KZ2dn9tlnn7S3t+dPf/rTc8YXtLe350tf+lK6u7uz4447pr29PbNnz+5x3u68885Jkosvvjjd3d057rjjeqzny1/+clpbW3PDDTc0xp9WVZUf/ehHjfHbra2tmTdvXo/6ffTRR/u8Hx5//PFpaWnJF7/4xdTr9UyePDlJsvbaa/frelr0Omptbc1//Md/pL29PTvuuGNjrEdHR0eOO+64dHZ25hvf+EY6Ojpy1113paWlJW9/+9vT3t6elVdeOW1tbdl6661TVVX22muvtLa25tZbb029Xs/mm2+e9vb2XHXVVT3Oz//7v/9rvP/T1dWVH/3oR+nq6spdd93VY38/85nPpLOzMxtssEG6u7tz7LHHpl6vZ7311mvEdMu41kXXf8EFF6S1tTVvectbelzPd999d9ra2vLwww+no6Mj06ZNS3d3d0499dQex23zzTdv5OP7um9ttNFGPa7T3/3ud0mSlpaWxbbbRx11VNrb2/P+978/bW1tWW211Xq0C3vuuWfa29vz9a9/PVVVZbPNNkt7e3v22muvxd4n//d//7fP679er6eqqqy66qo99m/XXXfts5182cte1mf7ssMOOzTOk+7u7hxxxBHp7u7OjTfemHq9nptuuqnP7Tf779FHH029Xs/HP/7xtLS05IILLmjcTxat/z/84Q9paWnJXnvtlfb29uy8887p6OjIpEmT0tHRkT/+8Y9pb2/PD3/4w0acuOQvS8xi0fbrsssuS0dHRz772c/22f6MGTMm9Xo9L3jBC3oc749//OOL3b+LL764EZ9atPynnnpqWltbc9RRR6WtrS3Tpk1r5D1bW1vzmc98ZrHjJTbddNO0tramXq+nvb09Y8aMSWdnZ7bYYotGnqazszNHH310v47/nXfemba2tiRJvV7Pn/70p3R2dmb//fdPd3d3tt122z7Pi5133rkxrr20k11dXdlkk03S0dGRxx9/vNEfWvS4lXdIX/nKV6azszOdnZ3PuW46Ojqy9957p7OzM93d3anX6/nYxz6Wtra2zJgxo5HHW9x19b3vfS9JsuuuuzaW7+joSEdHR+P9tI6Ojrz3ve9NV1dXpkyZks7OznziE59Ia2tr/v73v6ejoyM77LBD2tvbc8wxx6Srqytf//rXexyPrbfeujG+sF6v54QTTmjEHfo6/kcffXSP82zttdduxCvLc35XV1duv/32xvivvs6H3/3udz3aoY9+9KPp7u7OS17ykrS3t+fzn/98qqrKDjvs0IjTlZhPvV7PV77ylR7H77zzzuvz/D/77LPT2tqarbfeOm1tbfm///u/fsXzP/rRj/ZoX84666zG+Mmurq5cfvnlqdfr+fWvf50k+fOf/5yqqnLqqacutn8xZ86c1Ov1vPrVr35Oebu7u3PwwQens7MzjzzySJ/H/5ZbbklLS0tOO+20PtvPK664Ih0dHTnggANSr9fzpS99qTFetq/j84EPfKDH9KlTp6a1tTVJGvH20v/r7u7O+9///nR3d+euu+5KV1dXDj300B77e8ghh/RZ37/4xS8a7+/1dT3OmjWrx/FeffXVU6/X85KXvKTPcl944YWN57VSr/1pL3bccce0tbXlBz/4QVpaWnLCCSc03n8s8aG2trZMnTq1X+ubO3duOjo68sUvfjGtra2544470tHRkSeeeKLRHpXnqEXP12nTpqWjoyNjxoxJW1tbPvKRj/Q4Li984Qsbcb0SH63X65k+fXq6u7vz+te/vhE3Ku8Xtbe354EHHkhnZ2fmzZvX4/p6+9vfnnq9nvvvvz/t7e35wx/+kCTZdtttexz3DTfcMMn8cZeLTv/2t7+drq6u/OxnP2u8h9PS0pIDDjigMa6mra0tp5xyymLjwrfddltaWlpy6qmn9jge3/rWt5IkP/jBDxqxwkWP/9ixYxd7XY0dO7bHedLZ2dn0/eHS3nV1dWXPPfdMa2trLr/88h7XU4nFfeELX0hra2t22mmndHd354Ybbki9Xs8111yT9vb2vPWtb13s/m6xxRaN8QPt7e35y1/+0oiDJcm5556ber2eAw88sMfxWGWVVRZ7/r3yla9Mkvzud79LVVV5/PHH09XVld///vfp7OzM1VdfnXq9nkcffTRtbW2ZOXNmj+Nz+OGHp62tLR/+8IfT0tKSGTNmNO717e3tjTag2favuuqqHvu93XbbPWfce1VV2XDDDdPa2po999yzR30cddRR6ejoyL333tvjPH3ve9+b1tbW/OMf/0iS3HTTTY2xMKV/VK/X8573vCft7e05/PDDe3x/zz337FGPDzzwQGP8dHt7e/bZZ590d3fn17/+dVpaWvLPf/6z8Z7coveFhx56qEd511prrR7zt95663R3d+eRRx5JV1dXrrrqqtTr9UybNq1H+7fzzjunra0tV155Zdra2vLXv/41LS0t2XvvvVNVVf7617+mra0tn/vc5xpxiaqq8q9//StJ8pa3vKUxfrmv9v4b3/hGY7xIZ2dn/vjHP6a1tTVz5sxJV1dXfvzjH6ejoyMPP/xwj/L/8pe/bNxLW1tbc8UVV/RY/2abbZaqqvL000834nhJcsUVV6SzszNPPPFE472HRev9iCOOaOTTFz0Oc+fOTXt7e/7rv/4rbW1t2W233VJVVT72sY/1eZ1Onjw5XV1dGTNmTI/1z507t9Fud3V1Zf31109VVbnzzjt7tJ/rrbdej/biwQcf7Ff86eGHH05nZ2f23HPPdHd358QTT+zzfnXTTTf1WN873/nOxvi7RY/jzTffvNj+cPnv3e9+d+M8aGlpyV133ZV6vZ4zzjij0Yfs6urKwQcfnI6Ojhx44IHp7OzMT3/60x7X9Rvf+MbnjCtrb2/Ptttu22P6Pvvs0xh/097ennPOOadHOR977LG0t7dnp5126vP+++IXvzjt7e158sknG3mW9vb2vOAFL0hVVRk/fnyf/azVV189ra2tOfvssxvnZVtbWz72sY813nOq1+u54447kiS77757uru7s+mmmzbyZ62trXnwwQcb59Oi5T7llFP6rOeVVpr/E0GHHnpoj/bi1FNPbTyvdXZ25pvf/GYjblFVVV772tc2xu91d3dnp512Sr1ezyabbJLu7u48++yz6eqa/55r7/HIi5br9ttvT2tra84///y0tLTkiiuuSJJ89atfTVdXV9Zbb70kySWXXJKOjo6ce+65Pdrfq666qs/j+fe//70xzqHEaUq+t6/70pZbbtkYh1ZynGX73d3dufDCC9PW1pYHHnggSbLLLrukra0tb3rTm9LV1ZWjjjqqx/HbaKONelxnr3vd63och0ceeSTd3d1597vfne7u7vzhD3/oUa611lqrz/v67bffniTZb7/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4Hpn3Pty4cWPGdGI+5cuXT1yPChUqxPW+IAh05ZVXKggCde/eXVEUqWzZsnJdV4cffrh839dNN92kdDqt3r17y3Vd2batIAi0fv16+b6vRx55RFEU6bDDDpPnebrzzjtl27Y6dOigdDqtHj16JML32muvJcJfpUoVSdL3338vSTrppJPiPp681/WTTz6Rbdvaa6+95HmeHnzwwYzX85prrlEYhjr++OOL1A6oWrWqLMvSkiVL4va5OU4URTrhhBMkSYMGDUqkz4cffliO46hGjRpyXVczZ878TXiDINC5554rx3HUp08fua6rGTNmKIoiDR8+PM7vgyDQHnvssV3pf8qUKQrDUGXKlInL5jAM9dlnn2U8L2eddZYsy9KYMWMS6eGKK66Q7/tx3/irr76a8X66+OKLf3Nf+76vM888M67f+76vMAzluq46duyYyE+rV6+e+F63bt1EvrFx40ZJ0pgxY2RZlg488EDZtq2WLVvK8zxddNFFcl1X3bt3VxAEmjp1asb86L777kukr1deeUWWZalfv35yXVfnnHOOfN/XwIEDE+nys88+UxRFeuuttwrMt8ePHy/btvXSSy8piiL98MMPCoJAr732mnzf11lnnSXf99W7d++M9+UVV1yhdDqt0qVLy7IstWrVSrZtq2/fvoqiSNdff32cf2fKZyzLUjqd1qWXXprxOr/44otxv1ze8/31119nbKc8/vjjsixLbdu2zZj+qlevriAI9M477ygIAg0aNEi2batHjx6yLEvXXXed0um0jj322MT+L7nkErmuq5tuuimxfO+995brutptt93i9C9JlStXVhiGGjVq1G/qxabunze+l112maIo0llnnSXP89S5c2f5vq+qVavK930NGTIk4/mzbTsRnttuu02u62r9+vWKokibNm2S7/saN26cPM/TWWedJdd1tWHDhsR2/fv3T1zfzp07y7IsrVy5Uul0WuvXr1cQBLr22mvleZ5uv/32xParV6+W4zh65JFH4vwsDMO4DtazZ8/E9VuxYoWiKNKbb76pMAzVpk0bhWGoY489Vr7v6+yzz84Y34kTJ8q2bU2ePFlBEOjLL79UGIaqV6+eHMdRu3bt5LquTjjhhLidaa5vpvurcePGsixL//nPfyRJ999/v1zX1SmnnCJJ+vDDDwssj/J/3n77bdm2rddee02SdOyxxyoMQ5188smSpI8++ihxP5oy6JVXXknc52XKlJFlWRo4cKB839e1116rIAg0evRohWGoGTNmZEz/NWrUkOd5mjFjRiL9O44jx3E0e/Zs+b6vww47TJL08ccfKwxDPfPMM4qiSKNGjSowvjvttJMsy9IFF1yQuJ6LFy9WOp3W008/rSiK9N///ne78v/BgwfLsiyVLl06zo/CMNRTTz2lKIq0cOHCjPnDypUrMy6/8847JUmbNm1KnKehQ4cWqV1mPgcccICCINDatWvl+76WLFkiz/NUvnx5OY6jn376SZ7nqVSpUvJ9XzNmzJDnebriiiskSXXq1EmEr0mTJnIcRyNHjlQYhurZs6ck6dJLLy2wnyvb5+ijj5bneRo8eLCiKFLbtm0VhqEmTJiQOP/nnXdeIhyVK1eW53l6+eWX5TiORo8eLcuydOedd8b9ZGEY6oMPPpBlWdpjjz0S6eLwww9PhHfKlCmJ9Ov7viSpffv2kqQJEyYoiiLdcsstCsNQJ510UiJ8zz33nIIg0GGHHZa47zdv3qwwDHX99dfL931dfPHFcl1X9913n6Io0ieffJIxn1i5cmVi/67ryvd91a9fX2EYKggC+b6vEiVKyHEc7brrrvI8T4888ohs29bSpUuzjoflPQ/nnXeewjBUu3btZNu21q9fH99nBdXXrrnmmkS477333oz1lCpVqsT5pOM46t69uyzL0qOPPirf9/XGG28oCAJNmzYtsb8ePXpIks4880z5vq+rrroqzhcLal9k+3z88ceybVtvvfVWnG5831ezZs0S5/nLL79UOp3WAQccUOB9FoahbNtW//79FYahKlSoEOf7RannlipVSq7r6s0334zHcT3PU8WKFeV5nhYvXixJuvXWW+W6rl588cVE+p8zZ47S6bTuuOOOxPLDDz88rt+GYaj99tsvUW6UKFEiHm+xbVtfffVVIj088sgjcX+3af9L0pIlS+T7vho1aqQoirR27doi5UMLFixQEAT69ddf5fu+XNdVFEV6+umnlU6ndf3118fjo3nD0aFDh0R66NChgxzH0fDhw+PxLsuydMwxxygIAh1wwAHyfV99+vSRbdu6++67M+arzZs3VxAE+vHHH2Xbtn744QdZlqW1a9cqCAKVLFlSURRp48aN8ThU3vTWrVu3RLhat26dOM4ZZ5wRX88gCNSyZUtJ0syZM+W6ri677LKM9/urr74q3/e1du1aWZaluXPnSpKeeeYZWZYlx3HifqEgCLR8+fJEOdypUyel02kNGDBAlmWpY8eO8Thr3uu/fPlyRVEkz/PkOI7OPvtsSdLBBx+cWK9Xr16Kokg77bTTb+pneeMrSUEQaP/991cURXr55ZfleZ4qV64sx3F03XXXJfZ75JFHxvUVz/PUt29fWZalK664QrZtq0mTJpKkZcuWSZIOOuigIt3vU6dOTZyPO+64Q5LUrFmzuP87Uzti/PjxchxHl1xyiWzb1hlnnKEoivTjjz8qiiJNnDgxbt+k02mVLVtWQRBo0qRJcbnneZ5q1Kgh27a1ZMkSWZalRx55RK7ravny5QrDUK+88kri+NWrV5fv+xowYEDcr5/3PNetW7dI9Y8mTZooCAI9++yzcf04CIJ4jMqsV6NGDfm+r1NOOaXAfte9995bkjR06NC4f873fa1Zs0ZRFOmJJ54osJwvW7Zs3H4x8yM8z9Pxxx8vz/M0c+bMjOn/ySefTOz3vPPOkyTdd9998f3uuq7233//uL88DENNmjQpsd1LL72U8Tq//vrrsm1b//3vf+V5nk477TRFURTPsdmyZYvCMNR///tfua6rrVu3Js5/69at5fu+unbtmqgn7LXXXnH4fN/XoEGDFIah7rjjjgLT7b333ivbtnXNNdfI8zxdffXVSqfTmjx5sizL0rhx4+L6u+/7qlatWiK/nTZtWiK/vP/+++U4jm655ZbfzCNwXVcdOnSQ53m65JJLFASBXnnllTjfzJseBg0aFOfzeeNfv359OY6jvfbaS2EYatmyZbJtW2PHjpVt2/EnW3yfffZZ2batK664Qp7nSZJ839cFF1wg13W18847J8rNsmXLFql8eeutt+L2nSS1bt1aQRDEcwTnzZuX2M9TTz2ldDqtxo0bJ9Jhly5dlE6n1a9fP/m+r+rVq0uSypQpI9d11a1bt0T4ateuLdu29fTTT8txHL3zzjtKp9M68cQT43Ey3/f11FNPKQgCffTRR4qiSAMHDlQQBLr44osT+/voo49+Mz8s0/1//vnnS5K6d+9epPp279695fu+Hn/88US6ePzxxxUEgc4//3wFQaDrr79eQRDotNNOkyR98cUXieP/9NNPifvKcZyMxx8yZIhs29aJJ54o3/fVv3//RDyvuuqqjOnk008/leM4OuywwxSGoSzLUhRFOuKIIyRJmzdvjvvnM9WvRo4cmTE8AwYMiMdLHcfR9OnTFYahpk6dqiiKdMYZZ2TML8xc2NGjR8v3fXXq1ClxfZo2bSpJ6t27tyTp2WefLbDe179//9/M73AcR0EQyPM8bdiwQb7vq3v37nG6lKQLLrhAvu/r119/zXjejj/+eNm2rZkzZyZ+v+666+Q4jt599914zqWpF2XKfytVqqQwDHXooYfKsix9/fXXcfxs21ajRo0UhqF69eqV8Tx36tQpsfy4446T67pasGCBbNtW7dq1FUWRVqxYoTAM9fTTT2fcz5o1a5ROpzVnzpzE+bzssssS+ektt9yiIAhUv359BUGgNWvWKAgCPf/88wXmG+PGjVM6nVa5cuVkWZa++eabuN3ouq4kybZtXXDBBRmv5/Tp0xP30YABAzLGo1SpUgqCQF27dpXneXr22WcT6eyss85KXK/27dvLdV01btxYnufpnnvuSdx/mzZtkuM4evTRRzOO+5m6de/evWVZltq3b59IbyNGjFAYhnr++efluq5+/fVXBUGg6tWrK4oivf3220qn05oxY4Ycx9G6desk5cz/syxL06dPT5wPU8c4//zz5fu+Bg8eLM/zNH78eHmep4ceeigRzgYNGmRMv61bt47zWd/31aBBA0k5/R55r/cvv/xSYPly8cUXJ+LbunXruJ1eUDlcrVq1jP1Fmzdvjuvfruvq559/VhiGevHFF+V5nvbYY4/tmnf+448/SpLGjRuXOI+33nprPN/XcRw9/PDDsm1bFStWlCS98MILSqfTOuiggxLx+89//qMwDDVo0CAFQaBddtlFYRiqadOmiqJIF110kXzf1zPPPJMxf6tfv748z9P69etlWZYaNWok3/d10UUXKQgCPfnkk5Kktm3bJvKL22+/PeP+9t57b1mWpXbt2sn3fS1fvlyu66pu3bqKokgHHXRQYj9PPPHEb+4vz/O07777xvXnMAxVrlw5SdKGDRsUBIF+/vnnuP8u033QsmXLAufpHXnkkQrDUGXLlk2sV7VqVTmOowkTJsh1Xb399ttx+WjbtsaNG5e43rVr11YQBBo7dqwsy1KFChXiel+m/KBu3boZ09l//vOfuF/ajCs6jqPNmzcriiKdeeaZGesBn3/+uaIo0o033piIx/Dhw+W6rubPny/btnXggQcqiiJVrVq1SOl15MiRsixLt99+ezyvJ51O65577pFlWTrssMNk27aaNm26Xf2Q5nPUUUfJtm3dddddchxHb775pqIoUq9evRSGoXbbbbd4vnbeeN98882J9N+nTx/5vq8nnnhCvu9r9OjR8fUoSv/L8ccfn7hOTZs2jfNDx3FUp04dRVGkyy+//HfFc/LkyfJ9XzfeeGPG9HDKKack7qN169Ylvn/22WeSpHfffVee5+mXX35RFEVatmyZPM9Tu3btEuF66KGHEumgZ8+esixLzZs3T1z3IAgUBIFuu+02eZ6nVq1aZbyfP/roo4zpbvbs2fI8T8uXL1c6nVavXr0UBIFOOOEERVGkAw88UGEY6pJLLpEkderUSY7jqGbNmnH7raD++cqVK0uS7rrrLknSoYceKs/z9PzzzysIAvXv31/pdFpHHHGELMvShRdeKM/z9P7772fs72ndurVc19X06dMVBIHuuOMOhWGoM844Q7Ztq1y5cvG4S97t+/XrpyiKNGTIELmuq1WrVsl1XV100UUKw1BvvvmmJGnVqlWJ87527Vp5nqf27dvLcRx9+umnv5lf4DiO7r77bgVBoGOOOUaO42j16tWJdNuiRQtJ0pNPPqkgCHTjjTcm9jN8+HBZlqWZM2fG80+jKNKLL74Yz9+2LEu//vpr4vp+8803GcvDQYMGKZ1O66677lIYhqpTp44kqVq1akW6n/LeR5Zl6dhjj5XjODrmmGPiuR6u6+rGG2+U53kaPXq0XNfVsmXLlE6nddZZZ8lxHJUpU0a2bathw4aKokinnXaaLMvS22+/rTAMVbduXTmOo5dffjmRPu+77774+R/f9/Xiiy/K930tW7YsEd8BAwbI8zzVrFlTQRBo4MCBCsNQe+65Z9yna+a15t3/pEmTZFmWTj/99MT9vHz5ctm2rS+//FKu66pz584KgkDDhg1LnLe6devG4/GZyq199tkncZ9+8MEHkqR0Ol1gvt23b185jqNLL71Utm1rp512SuQLp556qhzH0ahRoxRFkQ444AA5jqPTTjutwHLypptuynj/h2GoKIpUoUKFRPxatWqVMZ/cf//9M+YvRx11VJxOgiDQFVdcoSAINHv2bIVhqDlz5mQ8frbPN998ozAMdc011yidTmvSpElxeZL3+n/88cdKp9M67bTT5DiOWrRoIdd1VblyZbmuq08++USO4+iFF16I+4nN+KXps8ibf02ZMkWu6+qWW27JmP+ULFlSYRhql112SZzva665psD4Pfnkk3H/VN7wDxs2TJZlqW/fvrJtW507d47HPS3L0oABAwqcL7HffvvJsiyFYSjHcVSyZEl5nqd69erF4zSe56lfv35FOv/vvvuubNuWJIVhqE8//VSe56ljx44KgkCNGzfOmC5atGgRz2s3+aTv+9p3333luq6+++67uD6U97yZZ0gPPvhgeZ4nz/N+c9+4rqt27drJ8zwFQaAwDHX11VfLtm3Nnz8/Hscr6L564oknJEmtWrWK13ddV67rxs+nua6rSy65RL7vq2nTpvI8T9ddd50sy9K3334r13V11FFHyXEc3XDDDfJ9X6NGjUqcj4YNG8bzC8Mw1M033xz3O2Q6//369Uuks2rVqsX9laad7/u+li5dGs//ypQePvjgg0Q+1Lt3bwVBoL322kuO4+iOO+5QFEU66qij4n460+cThqHuueeexPmbMGFCxvT/8MMPy7IsNWzYULZt67777itSf37v3r0T+ctDDz0Uz5/0fV/PPvuswjDUkiVLJEkrV65UFEUaNmxYgfWLdevWKQxDHX744b8JbxAE6tKlizzP01dffZXx/M+bN0/pdFojRozImH9OnTpVruvqwgsvVBiGuvvuu+P5spnOz2WXXZZY3rx5c1mWJUlxf7up/wVBoEsvvVRBEGjZsmXyfV/dunVLxLdr164Zr/esWbPi5/cy3Y+rVq1KnO+dd95ZYRhqr732yhjuyZMnx+01c12Lkl8cc8wxsm1bzz//vNLptG6++eb4+UfTP2Tbtpo3b16k/f3yyy9yXVd33XWXLMvSO++8I9d19cMPP8T5kWlH5U2vnTt3luu6KlmypGzb1lVXXZU4L7vuumvcr2f6R8Mw1ODBgxUEgY4//vi438g8X+Q4jj7//HN5nqdff/01cX+dddZZCsNQa9askeM4+vjjjyVJjRs3Tpz3WrVqScqZd5l3+SOPPCLf9/X666/Hz+Gk02ldeOGF8bwa27Y1dOjQAvuFFy1apHQ6rWHDhiXOx4MPPihJev755+O+wrznv1SpUgXeV6VKlUqkE8/zsj4/bPI73/d16qmnyrIsPfvss4n7yfTF3XnnnbIsS82aNVMQBJo5c6bCMNT06dPlOI7OOOOMAuNbr169eP6A4zhav3593A8mSePHj1cYhurUqVPifJQtW7bA9HfwwQdLkj744ANFUaTvvvtOvu/ro48+kud5mjZtmsIw1DfffCPbtrVgwYLE+enZs6ds29aVV16pdDqt+fPnx2W94zhxHpDt+C+//HIi3k2aNPnNvPcoilSrVi1ZlqVTTz01cT369u0r13X14YcfJtLpJZdcIsuytGnTJknSnDlz4rkwpn4UhqEuvvhiOY6jnj17JrY/9dRTE9fx888/j+dPO46j9u3bKwgCLVmyROl0Wt9//338nFzecmHt2rWJ8FatWjXxe8OGDRUEgb766iv5vq+XX35ZYRiqc+fOifyvRYsWsm1bzz33nGzb1tdff610Oq127dopiiJ9/fXXsm1bt99+e9wvEUWRfvrpJ0nS6aefHs9fzpTfjx49Op4v4nmePvnkE1mWpXXr1sn3fb3yyityXVdffvllIvwLFy6My1LLsjR16tTE/g844ABFUaTNmzfH/XiSNHXqVHmepx9++CF+7iHvdb/iiivi8fS85+GXX36R4zg655xzZNu2WrdurSiKdPXVV2e8T+vUqSPf91WyZMnE/n/55Zc43/Z9XzVq1FAURXr33XcT+eeee+6ZyC+++OKLIvU/ffnll/I8T6eeeqqCINCtt96asbyaM2dOYn/nnntuPP8u73mcO3dugfVh8+nQoUOcDtLptJYtW6YwDDVmzJi4Dun7vrp06SLXddWpUyd5nqfXXnstcV+3bdv2N/PKHMdR48aNE8vbt28fz79xHEfjxo1LhHPjxo1yHEfNmjXLWP7usccechxHP/74YzzO4jiOdtllF0VRpHLlymWsZ+28886yLEsPP/xwnC5t29bVV18dP+cUhqHeeecdSdKJJ56oIAi03377xeNnlpXzrhuTnvKGe+jQoRmvc4kSOa8I6tatWyK/GDZsWNxe8zxP999/f9xvEUWRjj766Hj+XhAEatasmcIw1L777qsgCLR161b5fs5zrvnnI+cN19KlS2VZliZOnKh0Oq2pU6dKku699175vq8999xTkvTUU0/JdV2NHz8+kf++/PLLGc/nt99+G89zMP00Zrw3U7lUv379eB6aGeM0xw+CQJMnT5Zt2/r8888lSS1btpRt2zr55JPl+7769u2bOH/77LNP4j477rjjEufhq6++UhAE6tChg4Ig0Mcff5wIV9WqVTOW60uXLpUknX/++bKsnPcvpNNpXX311XH7zozTFeX+WrlyZTzWmU6ntW7dOgVBoGeeeSZxv3744YdyHEdPPfWUJGn16tWJ8A0dOjRj/8mVV14Zr2falbZt6/LLL5fv+3rggQcS4RwzZoxcN+c9E67r6rDDDvvN+KUk3XzzzXJdV++//37GeLZs2TJxvh9++GH5fs5zwnnvA9/PeffNBx98IM/zNHfu3MTxzjzzTLmuq0ceeSQeB4qiSOeff75c19VXX30VHydvfvjKK69kvH6PPvqogiDQ4sWLC6wfDRkyJBGvgw8+OK4PSdKoUaPk+77Wr1+f8bz37dtXnudp1qxZiqJI9957rzzP06WXXhqPvxWl/7xRo0aJ89i1a1dJUps2bSRJTZo0ked5GjZsmMIwVKVKleJ58XnDZdro5vutt94qx3HUoUMHRVGkrl27KgxDHXHEEYnrM3fu3MT9/fDDD0vK6Yf2fV+VK1eWZVn67rvv4uth27YOOeQQeZ6nn3/+ObH9unXrZFmW7rnnnkR4SpcunShvH374YXmepwsvvFC+n/N8WhRFuvLKKyVJ1157bSKczZo1S3zv2LFj4ry5rqt0Oh3Pgcl/nqWcPsU6derIcRxNnjw5fh9Q3uvUpEkTRVGkvn37yvd9nXjiiQrDUJMnT5brujrvvPNk27amTZuWCM9TTz2VCM/uu+8eP88VhqF23313OY6jvn37ZsxP58yZI9fNeW9UGIZav359Yv9XX321XNfVddddF487m/m35nrljfdzzz2XsfycP3++PM/TNddcI8uy1KFDB4VhqI8++iiut+XN/xs1aiTXdfXaa6/Fz9Hk3e91110nz/O0cOHCxPXt2rVr3K9g5kil02kNHjw4kW532WWX+NqZ/kfTB2Dbtrp3764wDDVy5Mg4nul0Wvvss0+B/bhvv/22HMdRo0aN5DiOvvvuOwVBoEqVKimKIjVs2DARjxdffFGOk/OceKb2x2mnnSbP83TrrbfKtm0dd9xxCoJADRs2jPPZTPnR3XffLdd1deSRR8pxHG3ZsiXuB4iiSP3795eU80498/xWEAQaOnSogiBQmzZtEulgypQpv5n3nPe4ffv2jZ/flKTBgwfH4wPpdFq1atXKeH/cd999sixLb7zxhqSc9xK4rquKFSvGz3Nkit+GDRsS+ejll1+esR704YcfKooiDRgwIE4Lefd34IEHxvPioyjnfSV54zls2LBEuL/55hv5vq82bdrE25n53Zny69tuuy2RXurVqxenS/M8guu6evnllxVFke64444iPT80dOjQuL7qOI6OOuooBUGgffbZJ76eec/PihUr4ufmHMdRx44dE8e59NJLJeWMf/m+r59//llRFGncuHHx+F1B4WrcuLEcJ+e9Jeb9YGYOteflvOfNHN/3fY0cOTIRviiKFEWRXn311Yzl/mWXXRb3AzqOo5UrV8pxHB1xxBHyPE/PPPNM4vxXqlRJrutqjz32kGVZ2nXXXRPXcbfddkscZ8SIEZJynj/JX37mTVfdu3dPbHfcccfF7RhJat68uXzf1/Tp07drvsq+++4rSdpzzz1l27b22WcfSVKDBg2K1H/7zTffJOJfsWLFeJx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1rW8NWk/++te/ptVqZYkllki3202j0UhVVfnMZz6TJHnzzTd79+cHO7869thjB03Pvvvu2+svbbVaueKKK9LtdnPRRRelqqqst956g7YXA2NhTzjhhBRFkS222KIvPksuuWSS5Nvf/naS5Fe/+tVYz/v23nvv94zvaLVaKcsynU4nL7zwQoqiyLbbbturl0my6aabpiiKvP3224OW2xe+8IU0m81cffXVfb/vvvvuabVaueuuu3pjLgfOiwZrf6eZZpp0u90suuiiaTQaee6553r5azabWWihhdLtdrPTTjsNWs5bbLFF3/SVV1457XY7I0eOTLPZzFxzzZWqqnL//fen2+3mggsuGHQ9jz32WOr1eq6//vq+8vzmN7/Z155+73vfS1mWmX/++VOWZR577LGUZZlLLrlkrO3G6aefnnq9nskmmyyNRiPPP/9877qx3W4nSZrNZjbddNNB43nFFVf07Uf77rvvoPkYPnx4yrLM1ltvnU6nk1/96ld99ezLX/5yX7zWXXfdtNvtLLbYYul0OjnmmGP69r+///3vabVa+elPfzpov9/AufW3v/3tNBqNrLvuun317Uc/+lG63W4uueSStNvtvP322ynLMrPMMkuqqsrNN9+cer2eK6+8Mq1WK0899VSSUeP/Go1Grrjiir7yGDjH2HjjjVMURQ466KB0Op2ceeaZ6XQ6Oe200/rSucACCwxaf1daaaVeO1sURRZYYIEko+57jBnvN954Y6zHl69//et9+V1ppZV61+ljOw7PNNNMg94vevPNN3vn3+12O6+//nq63W5+85vfpNPpZNZZZ/2nxp2/+uqrSZLTTz+9rxwPOeSQ3njfVquVn/zkJ2k2m5lyyimTJL/+9a9Tr9fz6U9/ui9/X/3qV9PtdnPggQemLMtMP/306Xa7WXLJJVNVVb72ta+lKIr88pe/HLR9m3/++dPpdPLMM8+k0WhkoYUWSlEU+drXvpayLHP++ecnSVZfffW+9uL73//+oOv7+Mc/nkajkS996UspiiL33HNP2u125p133lRVlU9/+tN96/n5z3/+nv2r0+nkE5/4RO/8udvtZrLJJkuSvPDCCynLMq+//nrv/t1g+8EKK6ww1nF6Sy+9dLrdbiaddNK++WaYYYa0Wq2cddZZabfbufnmm3vHx2azmdNPP70v3nPNNVfKssypp56aRqORKaaYonfeN1h7MO+88w5az7761a/27ksP9Cu2Wq28+eabqaoq66+//qDnAY8//niqqsr+++/fl4+jjz467XY7N910U5rNZj71qU+lqqrMMMMM41Rfjz322DQajXz/+9/vjeup1+s55phj0mg0ssQSS6TZbGbJJZf8p+5DDnyWWWaZNJvN/PCHP0yr1cpVV12Vqqqy0047pdvtZuaZZ+6N1x4z3wcffHBf/d9jjz1SFEV+/vOfpyiKnHDCCb14jMv9ly984Qt9cVpyySV77WGr1co888yTqqqy/fbb/0v5PPfcc1MURfbff/9B68Oaa67Ztx899dRTfd8feuihJMldd92VTqeTN954I1VV5e67706n08mXvvSlvnSddtppffVghx12SKPRyHLLLdcX97IsU5ZlDj300HQ6nay44oqD7s9/+ctfBq131113XTqdTu65557U6/XstNNOKcsyq6yySqqqyqc+9al0u91stdVWSZItttgirVYrs88+e+/6bWz356eddtokyQ9/+MMkyaKLLppOp5NLLrkkZVlm7733Tr1ez2c+85k0Go1svvnm6XQ6uffeewe937PSSiul3W7niiuuSFmWOeyww9LtdrPeeuul2Wxmsskm6/W7jLn8Xnvtlaqqcvjhh6fdbueRRx5Ju93O1772tXS73Vx11VVJkkceeaSv3J988sl0Op2su+66abVa+etf//qe8QWtVitHHXVUyrLM5z73ubRarTz66KN99Xb55ZdPkpx//vkpyzL7779/33qOPvroNBqNXH311b3xp1VV5Te/+U1v/Haj0cjbb7/dF9/nn39+0OPhgQcemHq9nh/+8IfpdruZZ555kiQzzTTTOO1PY+5HjUYjn//859NqtfK5z32uN9aj3W5n//33T6fTyQknnJB2u52777479Xo9X/7yl9NqtTLJJJOk2WxmwQUXTFVVWXvttdNoNHLzzTen2+1m3nnnTavVyqWXXtpXP4877rje8z9FUeQ3v/lNiqLI3Xff3ZfffffdN51OJ7PPPnvKssx+++2Xbrebj370o717ugPjWsdc/znnnJNGo5F11lmnb3++55570mw28/TTT6fdbmfEiBEpyzJHHnlkX7nNO++8vf74wY5bc845Z99+et999yVJ6vX6WNvtPffcM61WK9/4xjfSbDYz1VRT9bULa621VlqtVo4//vhUVZW55547rVYra6+99liPkwcccMCg+3+3201VVZliiin68rfiiisO2k5+8pOfHLR9WWaZZXr1pCzL7LjjjinLMtddd1263W6uv/76Qbf/fp/nn38+3W43u+66a+r1es4555ze8WTM+D/wwAOp1+tZe+2102q1svzyy6fdbmfaaadNu93Ogw8+mFarlV//+te9+8QD/ZcD9yzGbL8uvPDCtNvtfO973xu0/ZlooonS7XYz/fTT95X3rrvuOtb8nX/++b37U2Om/8gjj0yj0ciee+6ZZrOZESNG9Po9G41G9t1337GOl/i///u/NBqNdLvdtFqtTDTRROl0Oplvvvl6/TSdTid77bXXOJX/XXfdlWazmSTpdrv561//mk6nk8022yxlWWaxxRYbtF4sv/zyvXHtA+1kURT5xCc+kXa7nZdeeql3PjRmuQ08Q7rwwgun0+mk0+m8Z79pt9v50pe+lE6nk7Is0+12s8suu6TZbOamm27q9eONbb/6+c9/niRZccUVe/O32+202+3e82ntdjtbbbVViqLIkksumU6nk9133z2NRiN/+9vf0m63s8wyy6TVauW73/1uiqLI8ccf31ceCy64YG98YbfbzcEHH9y77zBY+e+111599WymmWbq3a8cuM4viiJ33HFHb/zXYPXhvvvu62uHvv3tb6csy3zsYx9Lq9XKYYcdlqqqsswyy/Tu0w3c8+l2uznmmGP6yu+ss84atP7/5Cc/SaPRyIILLphms5njjjtunO7nf/vb3+5rX0477bTe+MmiKPKrX/0q3W43t99+e5Lk4YcfTlVVOfLII8d6fvHUU0+l2+1mqaWWek96y7LMlltumU6nk2effXbQ8r/xxhtTr9fzox/9aND286KLLkq73c7mm2+ebrebo446qjdedrDy+eY3v9k3fbnllkuj0UiS3v32gfO/sizzjW98I2VZ5u67705RFNlmm2368rv11lsPGu9rr7229/zeYPvjI4880lfeU089dbrdbj72sY8Nmu5zzz23d702ENdxaS8+97nPpdls5pJLLkm9Xs/BBx/ce/5x4P5Qs9nMcsstN07re+ONN9Jut/PDH/4wjUYjd955Z9rtdl555ZVeezRwHTVmfR0xYkTa7XYmmmiiNJvNfOtb3+orlxlnnLF3X2/g/mi3281BBx2UsizzhS98oXffaOD5olarlccffzydTidvv/123/715S9/Od1uN4899lharVYeeOCBJMliiy3WV+5zzDFHklHjLsecfsYZZ6Qoilx22WW953Dq9Xo233zz3riaZrOZI444Yqz3hW+99dbU6/UceeSRfeVx8sknJ0kuueSS3r3CMct/+PDhY92vhg8f3ldPOp3O+z4/PNDeFUWRtdZaK41GI7/61a/69qeBe3E/+MEP0mg0suyyy6Ysy1x99dXpdru54oor0mq1st566401v/PNN19v/ECr1cozzzzTuw+WJGeeeWa63W622GKLvvKYdNJJx1r/Fl544STJfffdl6qq8tJLL6UoivzlL39Jp9PJ5Zdfnm63m+effz7NZjMjR47sK58ddtghzWYzO++8c+r1em666abesb7VavXagPfb/qWXXtqX78UXX/w9496rqsocc8yRRqORtdZaqy8ee+65Z9rtdv785z/31dOtttoqjUYjf//735Mk119/fW8szMD5Ubfbzde//vW0Wq3ssMMOfcuvtdZafXF8/PHHe+OnW61W1l133ZRlmdtvvz31ej0vv/xy7zm5MY8LTz75ZF96Z5hhhr7fF1xwwZRlmWeffTZFUeTSSy9Nt9vNiBEj+tq/5ZdfPs1mMxdffHGazWaee+651Ov1fOlLX0pVVXnuuefSbDbz/e9/v3dfoqqqvPbaa0mSddZZpzd+ebD2/oQTTuiNF+l0OnnwwQfTaDTy1FNPpSiK/O53v0u73c7TTz/dl/5bbrmldyxtNBq56KKL+tY/99xzp6qqvPnmm737eEly0UUXpdPp5JVXXuk99zBm3Hfcccdef/qY5fDGG2+k1Wplgw02SLPZzEorrZSqqrLLLrsMup/OM888KYoiE000Ud/633jjjV67XRRFZptttlRVlbvuuquv/fzoRz/a11488cQT43T/6emnn06n08laa62VsixzyCGHDHq8uv766/vWt+GGG/bG341ZjjfccMNYz4cHPptsskmvHtTr9dx9993pdrs55ZRTeueQRVFkyy23TLvdzhZbbJFOp5M//OEPffv16quv/p5xZa1WK4sttljf9HXXXbc3/qbVauX000/vS+eLL76YVquVZZdddtDj76yzzppWq5VXX32118/SarUy/fTTp6qqTDbZZIOeZ0099dRpNBr5yU9+0quXzWYzu+yyS+85p263mzvvvDNJsuqqq6Ysy/zf//1fr/+s0WjkiSee6NWnMdN9xBFHDBrnYcNGvSJom2226WsvjjzyyN71WqfTyYknnti7b1FVVT772c/2xu+VZZlll1023W43n/jEJ1KWZd55550UxajnXN89HnnMdN1xxx1pNBo5++yzU6/Xc9FFFyVJfvzjH6coinz0ox9NkvziF79Iu93OmWee2df+XnrppYOW59/+9rfeOIeB+zQD/b2DHZfmn3/+3ji0gT7Oge2XZZlzzz03zWYzjz/+eJJkhRVWSLPZzBprrJGiKLLnnnv2ld+cc87Zt5+tvPLKfeXw7LPPpizLbLLJJinLMg888EBfumaYYYZBj+t33HFHkmTjjTdOozHq/Qv1ej277LJL7/puoJ9uXPavhx9+uNfXWa/X89RTT6Usy/zyl7/s21///Oc/p9Vq5Re/+EWS5NFHH+1L3xFHHDHo/ZOdd965N9/AdWWz2cz222+foihy0kkn9aXzlFNOSbs96j0T7XY7SyyxxHv6L5Pk4IMPTrvdzr333jtoPldYYYW+8v7JT36Sohj1nPCY+0FRjHr3zX333ZdOp5Mbbrihb3vrr79+2u12zjjjjF4/UFVV2XjjjdNut/Pss8/2tjNme/i73/1u0Pj99Kc/TVmWue2228Z6fnT44Yf35WvhhRfunQ8lyfHHH5+iKPLMM88MWu577rlnOp1Orr322lRVlR//+MfpdDr5xje+0et/G5f75wsttFBfOW699dZJktVWWy1Jsvjii6fT6eTII49Mt9vNNNNM0xsXP2a6Bq7RB74fcsghabVa2WSTTVJVVbbeeut0u9185jOf6YvPDTfc0Ld//+QnP0ky6j50URSZdtpp02g08tJLL/Xi0Ww2s8gii6TT6eT111/vW/6pp55Ko9HIMccc05eeiSeeuO94+5Of/CSdTiebb755imLU82lVVWXnnXdOkuy222596Vx22WX7vm+22WZ95dZut1Ov13tjYN5dzsmoe4rzzDNPWq1Wzj333N77gMaM0+KLL56qqrLnnnumKIqsuuqq6Xa7Offcc9Nut7PRRhul2Wzm8ssv70vPL37xi770fOQjH+k9z9XtdvORj3wkrVYre+6556Dt6fXXX592e9R7o7rdbp555pm+9e+yyy5pt9vZfffde/3OA+NvB+I1Zr4vvvjiQY+fN910UzqdTnbdddc0Go1ssskm6Xa7+ctf/tI7bxuz/V9ooYXSbrfzhz/8ofcczZjr3X333dPpdHLLLbf0xXfrrbfu3VcYGCNVr9dz0EEH9dXb6aefvhe7gfuPA/cAms1mtt1223S73Rx77LG9fNbr9cw555xjvY978803p9VqZaGFFkqr1cpLL72UsiwzzTTTpKqqLLjggn35+M1vfpNWa9Rz4oNdf6y99trpdDo55JBD0mw2s/LKK6csyyy44IK9dnaw9uioo45Ku93O0ksvnVarlbfeeqt3H6Cqquy9995JkkUWWaT3/FZZljniiCNSlmVWW221vnpw4YUXvmfc85jb3XPPPXvPbybJQQcd1OsfqNfrmWOOOQbdP4477rg0Go388Y9/TDLqvQTtdjtTTjll73mOwfL3wgsv9LWj22+//aDnQX/+859TVVX23XffXl0Yc32f+tSneuPiq2rU+0rGzOeRRx7Zl+7nn38+RVFktdVW6y03ML57sPb60EMP7asv8803X69eDjyP0G63c+mll6aqqhx22GHj9PzQEUcc0TtfbbVaWWaZZVKWZeacc85ePMcsn/vvv7/33Fyr1cpmm23Wt51vfOMbSUb1fxVFkddffz1VVeX000/v9d+NLV2LLbZYWq1R7y0ZeD/YwBjqTmfUe94Gtl8URY499ti+9FVVlaqq8vvf/37Q4/43v/nN3n3AVquVhx9+OK1WK5/5zGfS6XTyy1/+sq/8p5lmmrTb7cw666xpNBqZccYZ++I488wz923nRz/6UZJRz5+8+/g5Zr3adttt+5ZbeeWVe9cxSbLccsulKIpcccUV/9R4lU984hNJko9+9KNpNpuZc845kyQLLLDAON2/ff755/vyP+WUU/b6yZJR41oG+t1arVbOPvvsvnp5wQUXJElOPfXU3vOE9Xo9008/fRqNRnbaaacURZFJJ500rVYrE088ccqyzJprrtlXXvfcc8+g6T311FNTFEX22Wef1Ov1bL/99r31Dpx/jbme7bffPu12O/PNN984jbs85phjes+ldTqdvPPOOynLMjvssENvXNjY4vHCCy/0tb8bbrhh7/yl3W5n7bXXTlmWOfHEE/+puG699da9+8qtViuTTz55klHv2Rqz/G+77bZBjyuvv/56Wq1Wbr/99jSbo97rUFVVVl555XS73ey9995pNke9n66qqtxwww1pNEa9h2bMdN5222199XaVVVZJq9XK4YcfnrIsM8kkk/Tlf8kllxxrPo844ogURZF11lmn1y808DxOq9XKpptumk6nk1dffbWvPqywwgp98bz88st717nJqOfM2+12Ntxww97zNAPXDQP9CGPrH19ppZXSbDbz+9//ftD2eMstt0xZljnllFPSao16jqsoRj03m4wa9zTmcg8//HDverDRaGS22WZLt9vNnHPOmXa7nVlmmSXtdjuzzTZbX/k9/PDDfflcZ5110mq1Ms0006Qsy3zta19Lo9HITDPNlEajkQ022KAvX1tttVWqqsrjjz8+aD7WXHPNQcvh9ttvT1mW+dOf/vS+434H259arVaS5Gc/+9mg++/RRx/dl7+dd9457XY7d911VxqNRoYNG9Ybb9JojHrf00D/QFEU2X333dPtdrPvvvv2rf+hhx5Kp9PJoosu2rf+GWecsS/9yy+/fO98b2A/KIoin/70p3vlNGb7cffdd/fV98ceeyxFUeTMM89Mo9HI2muvnW63m1tvvTWtVisbbrjhv/Sc28Bn9tlnT6vVyrPPPpuqqjLffPOl0WjkyiuvTLfbzc4775xut5sbb7yxL11PPPFEGo1Gbr311iTJfvvt9574VFWVhRZaKGVZZtppp01Zlll00UXHKb1//vOf02w2s9RSS/WeMyuKIr///e/TaDRy+eWX986Pxiz/gWeg3m+9A329p556al+5TzfddL3+14HxQmOuZ8opp0xZlrn55pvTbrczzzzzpCxHvRe1qqr86U9/SqfTyVtvvTVovf/0pz+dTqeTl19+OfV6Pauvvvr7tgeNRiN//vOf0+12M/XUU/fG/Qy23gsuuCDdbjcf//jH+85zDjnkkFRVlVVXXbU3rrLb7ebxxx9PWZb54x//2Luv1Gq1Mt100w16nvToo4+mKIp89rOfTVEUuffee3vnRt1uN5tsssmg5//v93nsscd646kHrg8ajUYOP/zw3rjIMfO55JJL9h1fdt999/eMq0lG3X/sdDr59Kc/3WuHx9wPp5xyyrEej+v1ehqNRo4++uiUZZmzzjorzWYzs84661jb7ddffz1Jcsstt6TT6WTVVVdNq9XKHXfckVarlc9//vN9yy+11FJpNpuZZpppBi3vESNGpNPp5Nhjj01Zltl9991TlmWOOuqovvq6yCKLJBk1Hnrg/QcD139JctVVV/Xu45XlqOdmB8afdDqdLLvssqmqKpdcckmazWYOOOCAQdNz/fXXDzr98ccf7/WfJqPex9npdPKjH/0oVVXli1/84qDt+LbbbtsX35122in1ej2LLrpo77mhgfuj3W430047bV/8f/zjH6eqqgwbNqw33mZg/MFg8V122WXT6XSy9957957PGfM6aeONN+5LzxtvvDHofYCtttqq1481MH6uXq/nlFNO6fXbt1qtPPfcc33lNffcc6fRGPUc85jx+8QnPtF7/nxgfGG73c5HP/rRQbd/+umn903/29/+lnq9nhNPPDFJ8re//a3Xro3Leee7P5///OfTbDazzDLLpNsd9Z7bsiyzwAILpCiKXH/99X3pP+yww9JqtbLlllv27f+vvfZaX9xfeOGFdLvdTD755Ol0OllnnXUGbS8uuOCCNJvNPP/882m1Whk+fHhv3MaY+bnllltSlmVee+21FEWRF198caz3DY8//vi0WqOeX+10Rr2HcMz4TDbZZOl2u7nuuuvSbDZz2GGH9Z6vHVs5/vGPf0yz2cxHPvKRJKPeU58ke+21V8qyzLrrrtu331977bVpt9v53Oc+N2h83/0ZOXJkimLUc/xVVeWRRx5Jt9vN7LPP3rf8Nddc09tup9PJ/fff3/f7V77ylZRlme985ztpNpu57LLLUlVV/vjHP/buIw92XPnVr37Vu/8+5u+TTz55b3xBtzvqPWr/TPv/3HPP9cahFkWR+++/v2/566+/vu/84Oc//3lv/xl4rmXMuPz0pz9Nkt65/HPPPdcbT11VVe+3f5Suww47LM1mM8cff3yazWa63VHvTthggw2SJGuuuWY6nU5mmWWWvvp9+eWX96X/jDPOGDS+G2ywQRqNRu6+++5U1f//mwoDv992222D1uM11lijL78PPvhgkuSOO+7ojTtPknfeeSft9qj3RQyW31lmmaUvXauttlparVY23njj3nlUURR54IEHev12Y8ZhtdVWG3R/ePDBB/vycdFFF6Xb7WbLLbfs3YesqiqbbbbZP+xfaDRGvW97zPOu8847r9e+vnt8ZlEUefTRR5Mk55xzTt/vl19+eRqNRj7xiU+kqqpcfPHFvf7YbrebV199ddByuuKKK/qmP/roo2k2m1lzzTXTaDRy5JFHpizLLLfccmm323nrrbeSJNttt91Yz2uPOuqoQfezG264oTc+amA8dbvdzg033JCqqnLRRReNtb0YeEb23dO333771Ov13HvvvYMeh3/2s5/17veO+fu1116ber2ePfbYI/V6PSussEK63VHvLRroZx9zezfffPNY9/+99947RTHqPaLdbjebb7552u127rvvvhTFqPdujVl/Hn300ZRlmSWXXDLtdjuf/vSnBz2fv+iii1KWZc4888xUVZWDDz54nK4rRo4c2Rffr3zlK73z4larlT/96U8pilHvTWw0GrnpppvG+v7MiSeeOElyzDHH9G1/iy226F23DDyfOth55JVXXtnrzx0sn7/4xS/SbDZz4403pt1uZ8kll+ybb5dddhmn9nfXXXdNu93OZJNNlqoa9b7RwfbHa6+9No1GIx/5yEcG/X277bZLq9XKUkstlW63m5E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II45IURRZf/310263c95553X1/+abb95Vj6FDh6bRaOTKK69MrVbLaaedlkqlkp/85Ced62TtdjsPPfRQKpVKZptttq7tYoUVVuiq76WXXtq1/TabzSTJxhtvnCQ577zzUhRFfvSjH6Xdbuf//u//uup3+eWXp9Vq5XOf+1zXfv/mm2+m3W7noIMOSrPZzDe/+c3U6/WccsopKYoijz322IDHiccff7yr/Hq9nmazmUUXXTTtdjutVivNZjODBg1KrVbLzDPPnEajkbPPPjvVajX33nvvO46H9e+HzTffPO12O1/5yldSrVbz3HPPdfazCZ2v7bvvvl31PumkkwY8T5lhhhk6x8larZZddtkllUol55xzTprNZq6//vq0Wq1cc801XeXttttuSZKvfe1raTab+fa3v905Lk7o98U7vR599NFUq9XcdNNNne2m2Wxm1VVX7ernZ599NuVyOQsuuOAE97N2u51qtZoDDzww7XY700wzTee4PzHnuYMHD069Xs8NN9zQGcdtNBqZdtpp02g0cvfddydJjjzyyNTr9VxxxRVd2/+IESNSLpdz9NFHd01fYYUVOue37XY7888/f9f3xqBBgzrjLdVqNc8//3zX9nD22Wd3rnf3/f5PknvuuSfNZjNLLrlkiqLI008/PVHHoTvuuCOtVitvvfVWms1m6vV6iqLIJZdcknK5nIMOOqgzPtq/HltuuWXX9rDlllumVqvlhBNO6Ix3VSqVrLLKKmm1WllwwQXTbDbz/e9/P9VqNccff/yAx9XVVlstrVYrr732WqrVal599dVUKpU8/fTTabVamWyyyVIURV5++eXOOFT/7W3nnXfuqtdaa63VtZ6vfvWrnXi2Wq2sueaaSZIbb7wx9Xo9u++++4D7+x//+Mc0m808/fTTqVQqufXWW5Mkv/3tb1OpVFKr1TrXhVqtVh544IGu7+Ftt9025XI5Bx98cCqVSrbeeuvOOGv/+D/wwAMpiiKNRiO1Wi1f//rXkyRLLbVU13x77713iqLIdNNN97bzs/7tTZJWq5UFFlggRVHkyiuvTKPRyNChQ1Or1bLffvt1lbviiit2zlcajUb233//VCqV7LXXXqlWq1luueWSJKNGjUqSLL744hO1vw8fPryrP44++ugkY/O0+q5/D/Q74txzz02tVsuOO+6YarWar371qymKIq+99lqKosj555/f+X1TLpcz5ZRTptVq5YILLuh87zUajcw+++ypVqu55557UqlUcvbZZ6der+eBBx5Iu93OVVdd1bX+WWedNc1mMwcffHDnun7/fl544YUn6vxjueWWS6vVymWXXdY5P261Wp0xqr75Zp999jSbzWy44YYTvO4611xzJUmOPfbYzvW5ZrOZMWPGpCiK/PrXv57g9/yUU07Z+f3Slx/RaDSyzjrrpNFo5MYbbxxw+//Nb37TVe7mm2+eJDnllFM6+3u9Xs8CCyzQuV7ebrdzwQUXdC33hz/8YcA4/+lPf0q1Ws33vve9NBqNbLTRRimKopNj8+9//zvtdjvf+973Uq/X85///Ker/9daa600m83stNNOXecJc845Z6d+zWYzhx9+eNrtdo4++ugJbrcnnXRSqtVq9t133zQajeyzzz4pl8u58MILU6lUctZZZ3XO35vNZj71qU91HW+vueaaruPl6aefnlqtlh/96EdvyyOo1+vZcsst02g0suOOO6bVauWqq67qHDf7bw+HH3545zjfv/2LLrpoarVa5pxzzrTb7YwaNSrVajVnnHFGqtVq5/VO7b3ssstSrVaz1157pdFoJEmazWa22mqr1Ov1TD/99F3fm1NOOeVEfb/cdNNNnd93SbLWWmul1Wp1cgRvu+22rnIuvvjilMvlLLvssl3b4Q477JByuZwDDjggzWYzs846a5JkiimmSL1ez84779xVv3nnnTfVajWXXHJJarVa7rvvvpTL5ay77rqdcbJms5mLL744rVYrf/nLX1IURQ455JC0Wq1885vf7CrvL3/5y9vywwba/7fYYoskyS677DJR59vf+c530mw2c9FFF3VtFxdddFFarVa22GKLtFqtHHTQQWm1Wtloo42SJE899VTX+v/1r3917Ve1Wm3A9R9zzDGpVqtZd91102w2c+CBB3a189vf/vaA28lf//rX1Gq1fO5zn0u73U6lUklRFPn85z+fJHnzzTc71+cHOr86+eSTB6zPwQcf3BkvrdVqufbaa9NutzN8+PAURZGvfvWrAx4v+nJhTzvttDSbzWy77bZd8Vl++eWTJN/5zneSJJdddtkEz/sOPPDAt+V31Gq1tFqtNBqNvPTSS2k2m9lll10622WSbLXVVmk2m3nrrbcG7Ld11lkn1Wo1N954Y9fn++23X2q1Wu6///5OzmXfedFAx98hQ4ak3W5nmWWWSaVSyQsvvNBpX7VazZJLLpl2u5299957wH7edtttu6avvfbaqdfrueOOO1KtVjPvvPOmKIo8/PDDabfbueSSSwYsZ8yYMSmXyxkxYkRXf+6+++5dx9Mf/ehHabVaWXTRRdNqtTJmzJi0Wq387ne/m+Bx46yzzkq5XM5UU02VSqWSF198sfO7sV6vJ0mq1Wq22mqrAeN57bXXdu1HBx988IDtGDx4cFqtVnbaaac0Go1cdtllXdvZJpts0hWvjTfeOPV6Pcsuu2wajUZOPPHErv3vH//4R2q1Ws4555wBx/36zq2/853vpFKpZOONN+7a3n72s5+l3W7nd7/7Xer1et566620Wq3MOuusKYoiI0eOTLlcznXXXZdarZZnnnkmydj8v0qlkmuvvbarP/rOMbbYYos0m80cccQRaTQaOffcc9NoNPLLX/6yq56LLbbYgNvvWmut1TnONpvNLLbYYknGXvfoH+833nhjgt8v3/zmN7vau9Zaa3V+p0/oe/hTn/rUgNeL3nzzzc75d71ez+uvv552u50rrrgijUYjs80223vKO3/ttdeSJGeddVZXPx555JGdfN9arZYzzzwz1Wo10047bZLk97//fcrlchZffPGu9n3jG99Iu93O4YcfnlarlRlnnDHtdjvLL798iqLI9ttvn2azmd/+9rcDHt8WXXTRNBqNPPfcc6lUKllyySXTbDaz/fbbp9Vq5Te/+U2SZP311+86Xvz4xz8esLy55porlUolX/nKV9JsNvPAAw+kXq9n4YUXTlEUWXzxxbvK+fWvf/22/avRaGS++ebrnD+32+1MNdVUSZKXXnoprVYrr7/+euf63UD7wZprrjnBPL0VV1wx7XY7U045Zdd8M800U2q1Ws4777zU6/WMHDmy8/1YrVZz1llndcV73nnnTavVyhlnnJFKpZJpppmmc9430PFg4YUXHnA7+8Y3vtG5Lt03rlir1fLmm2+mKIp87WtfG/A84Mknn0xRFDn00EO72nHCCSekXq/n9ttvT7VazWc/+9kURZGZZppporbXk08+OZVKJT/+8Y87eT3lcjknnnhiKpVKPve5z6VarWb55Zd/T9ch+14rrbRSqtVqfvrTn6ZWq+WGG25IURTZe++902638+lPf7qTr92/3T/84Q+7tv/vf//7aTab+fWvf51ms5nTTjutE4+Juf6yzjrrdMVp+eWX7xwPa7VaFlpooRRFkT322OO/aueFF16YZrOZQw89dMDtYcMNN+zaj5555pmu93/729+SJPfff38ajUbeeOONFEWRUaNGpdFo5Ctf+UpXvX75y192bQd77rlnKpVKVlttta64t1qttFqtHHXUUWk0GvnCF74w4P78l7/8ZcDt7pZbbkmj0cgDDzyQcrmcvffeO61WK1/84hdTFEU++9nPpt1uZ8cdd0ySbLvttqnVapljjjk6v98mdH1+6NChSZKf/vSnSZJlllkmjUYjv/vd79JqtXLggQemXC7n85//fCqVSrbZZps0Go08+OCDA17vWWuttVKv13Pttdem1Wrl6KOPTrvdzle/+tVUq9VMNdVUnXGX/ssfcMABKYoixxxzTOr1ep544onU6/Vsv/32abfbueGGG5IkTzzxRFe/P/3002k0Gtl4441Tq9Xy17/+9W35BbVaLccff3xarVZWWWWV1Gq1jB49umu7XX311ZMkv/nNb9JqtXLooYd2lXPCCSekUqnkxhtv7OSfFkWRK664opO/XalU8tZbb3XF98UXXxzw+/Dwww9PuVzOT3/607Tb7Sy00EJJkk996lMTtT/1348qlUrWWGON1Gq1rLLKKp1cj3q9nkMPPTSNRiOnnXZa6vV6Ro0alXK5nE022SS1Wi1TTDFFqtVqllhiiRRFkY022iiVSiUjR45Mu93OwgsvnFqtliuvvLJr+zzllFM69/80m81cccUVaTabGTVqVFd7Dz744DQajcwxxxxptVo55JBD0m6385nPfKZzTbcvr7V/+RdccEEqlUq+/OUvd+3PDzzwQKrVap599tnU6/Vst912abVaOe6447r6beGFF+6Mxw/0vTXPPPN07acPPfRQkqRcLk/wuL3//vunVqtl1113TbVazXTTTdd1XPjSl76UWq2WU089NUVRZMEFF0ytVstGG200we/JvnsYx5/ebrdTFEWmmWaarvZ94QtfGPA4ucACCwx4fFlppZU620mr1cpee+2VVquVW265Je12OyNGjBhw/e/0evHFF9Nut7PvvvumXC7nggsu6Hyf9I//o48+mnK5nI022ii1Wi2rr7566vV6hg4dmnq9nsceeyy1Wi2///3vO9eJ+8Yv+65Z9D9+XXrppanX6/nRj3404PFnsskmS7vdzowzztjV3/vuu+8E2/eb3/ymc32qf/2PO+64VCqV7L///qlWq9luu+06456VSiUHH3zwBPMl5p9//lQqlbTb7dRqtUw22WRpNBpZZJFFOuM0jUYjBxxwwET1//33359qtZokabfb+etf/5pGo5Gtt946rVYryy677IDbxeqrr97Ja+87Tjabzcw333yp1+t55ZVXOudD/fut7x7SpZZaKo1GI41G4237Tb1ez1e+8pU0Go20Wq202+3ss88+qVaruf322zvjeBPar379618nSb7whS905q/X66nX65370+r1enbcccc0m80sv/zyaTQa2W+//VKpVPL3v/899Xo9K620Umq1Wn7wgx+k2Wzm1FNP7eqPJZZYopNf2G6388Mf/rBz3WGg/j/ggAO6trNPfepTneuVfb/zm81m7r333k7+10Dbw0MPPdR1HPrOd76TVquVOeecM7VaLUcffXSKoshKK63UuU7Xd82n3W7nxBNP7Oq/8847b8Dt/8wzz0ylUskSSyyRarWaU045ZaKu53/nO9/pOr788pe/7ORPNpvNXHbZZWm327nnnnuSJI8//niKoshxxx03wfOLZ555Ju12OyussMLb6ttqtbLDDjuk0Wjk+eefH7D/b7vttpTL5fzsZz8b8Pg5fPjw1Ov1bLPNNmm32zn++OM7+bID9c/uu+/eNX211VZLpVJJks719r7zv1arlV133TWtViujRo1Ks9nMzjvv3NXenXbaacB433zzzZ379wbaH5944omu/p5++unTbrcz55xzDljvCy+8sPN7rS+uE3O8WGWVVVKtVvO73/0u5XI5P/zhDzv3P/ZdH6pWq1lttdUmqrw33ngj9Xo9P/3pT1OpVHLfffelXq/n1Vdf7RyP+n5H9d9et9tuu9Tr9Uw22WSpVqv59re/3dUvM888c+e6Xt/10Xa7nSOOOCKtVivrrLNO57pR3/1FtVotTz75ZBqNRt56662u/WuTTTZJu93OmDFjUqvV8uijjyZJll122a5+n3vuuZOMzbvsP/3ss89Os9nMn/70p859OOVyOdtss00nr6ZarebYY4+d4HXhu+66K+VyOccdd1xXf/ziF79Ikvzud7/rXCvs3/+DBw+e4H41ePDgru2k0Wi84/3Dfce7ZrOZL33pS6lUKrnsssu69qe+a3E/+clPUqlUsuqqq6bVauXGG29Mu93Otddem1qtlq9+9asTbO8iiyzSyR+o1Wp57rnnOtfBkuTcc89Nu93Otttu29UfU0455QS3v6WWWipJ8tBDD6UoirzyyitpNpv5y1/+kkajkWuuuSbtdjsvvvhiqtVq7rjjjq7+2XPPPVOtVvOtb30r5XI5t99+e+e7vlardY4B77T+K6+8sqvdyy233Nvy3ouiyNxzz51KpZIvfelLXfHYf//9U6/X88gjj3RtpzvuuGMqlUr+8Y9/JElGjBjRyYXpOz9qt9v55je/mVqtlj333LNr+S996UtdcXzyySc7+dO1Wi0bb7xxWq1W7rnnnpTL5fzzn//s3CfX/3vh6aef7qrvTDPN1PX5EksskVarleeffz7NZjNXXnll2u12tttuu67j3+qrr55qtZrLL7881Wo1L7zwQsrlcr7yla+kKIq88MILqVar+fGPf9y5LlEURf71r38lSb785S938pcHOt6fdtppnXyRRqORxx57LJVKJc8880yazWauuuqq1Ov1PPvss131v/POOzvfpZVKJcOHD+8qf8EFF0xRFHnzzTc71/GSZPjw4Wk0Gnn11Vc79z30j/tee+3VGU/v3w9vvPFGarVaNt1001Sr1ay11lopiiL77LPPgPvpQgstlGazmckmm6yr/DfeeKNz3G42m5l99tlTFEXuv//+ruPnZz7zma7jxVNPPTVR15+effbZNBqNfOlLX0qr1cqRRx454PfViBEjusrbbLPNOvl3/fvx1ltvneD5cN9ryy237GwH5XI5o0aNSrvdzrBhwzrnkM1mMzvssEPq9Xq23XbbNBqNXH311V379frrr/+2vLJarZZll122a/rGG2/cyb+p1Wo566yzuur58ssvp1arZdVVVx3w+3e22WZLrVbLa6+91hlnqdVqmXHGGVMURaaaaqoBz7Omn376VCqVnHnmmZ3tslqtZp999unc59Rut3PfffclSdZdd920Wq3MP//8nfGzSqWSp556qrM99a/3scceO2CcBw0a+4ignXfeuet4cdxxx3V+rzUajZx++umd6xZFUWTllVfu5O+1Wq2suuqqabfbmW+++dJqtfKf//wnzebY+1zHz0fuX6977703lUol559/fsrlcoYPH54kOemkk9JsNvOZz3wmSXLxxRenXq/n3HPP7Tr+XnnllQP259///vdOnkPfdZq+8d6BvpcWXXTRTh5a3xhn3/pbrVYuvPDCVKvVPPnkk0mSNddcM9VqNRtssEGazWb233//rv6bZ555uvaztddeu6sfnn/++bRarWy55ZZptVp59NFHu+o100wzDfi9fu+99yZJtthii1QqY5+/UC6Xs88++3R+3/WN003M/vX44493xjrL5XKeeeaZtFqt/Pa3v+3aXx955JHUarVcfPHFSZLRo0d31e/YY48d8PrJt771rc58fb8rq9Vq9thjjzSbzfz85z/vquewYcNSr499zkS9Xs/nPve5t41fJskPf/jD1Ov1PPjggwO2c8011+zq7zPPPDPN5tj7hPvvB83m2GffPPTQQ2k0Grn11lu71ve1r30t9Xo9Z599dmccqCiKbLHFFqnX63n++ec76+l/PLzqqqsGjN8555yTVquVu+++e4LnR8ccc0xXu5ZaaqnO+VCSnHrqqWk2m3nuuecG7Pf9998/jUYjN998c4qiyEknnZRGo5Fdd921M/42MdfPl1xyya5+3GmnnZIk6623XpJkueWWS6PRyHHHHZd2u50hQ4Z08uL716vvN3rf+yOPPDK1Wi1bbrlliqLITjvtlHa7nc9//vNd8bn11lu79u8zzzwzydjr0M1mM0OHDk2lUskrr7zSiUe1Ws3SSy+dRqOR119/vWv5Z555JpVKJSeeeGJXfSaffPKu79szzzwzjUYj22yzTZrNsfenFUWRb33rW0mS7373u131XHXVVbveb7311l39Vq/XUy6XOzkw4/dzMvaa4kILLZRarZYLL7yw8zyg/nFabrnlUhRF9t9//zSbzay77rppt9u58MILU6/Xs/nmm6dareaaa67pqs/FF1/cVZ9ZZpmlcz9Xu93OLLPMklqtlv3333/A4+mIESNSr499blS73c5zzz3XVf4+++yTer2e/fbbrzPu3Jd/2xev/u2+/PLLB/z+vP3229NoNLLvvvumUqlkyy23TLvdzl/+8pfOeVv/4/+SSy6Zer2eq6++unMfTf9y99tvvzQajdx5551d8d1pp5061xX6cqTK5XKOOOKIru12xhln7MSu7/pj3zWAarWaXXbZJe12OyeffHKnneVyOfPMM88Er+OOHDkytVotSy65ZGq1Wl555ZW0Wq0MGTIkRVFkiSWW6GrHFVdckVpt7H3iA/3+2GijjdJoNHLkkUemWq1m7bXXTqvVyhJLLNE5zg50PDr++ONTr9ez4oorplar5d///nfnOkBRFDnwwAOTJEsvvXTn/q1Wq5Vjjz02rVYr6623Xtd2cOmll74t77n/evfff//O/ZtJcsQRR3TGB8rlcuaee+4B949TTjkllUol119/fZKxzyWo1+uZdtppO/dzDNS+l156qes4usceewx4HvTII4+kKIocfPDBnW2hf3mf/exnO3nxRTH2eSX923ncccd11fvFF19Ms9nMeuut11muL797oOP1UUcd1bW9LLLIIp3tsu9+hHq9niuvvDJFUeToo4+eqPuHjj322M75aq1Wy0orrZRWq5V55pmnE8/+/fPwww937pur1WrZeuutu9az6667Jhk7/tVsNvP666+nKIqcddZZnfG7CdVr2WWXTa029rklfc8H68uhbjTGPuetb/3NZjMnn3xyV/2KokhRFPnjH/844Pf+7rvv3rkOWKvV8vjjj6dWq+Xzn/98Go1Gfvvb33b1/5AhQ1Kv1zPbbLOlUqlk5pln7orjpz/96a71/OxnP0sy9v6T8b8/+29Xu+yyS9dya6+9dud3TJKsttpqaTabufbaa99Tvsp8882XJPnMZz6TarWaeeaZJ0my2GKLTdT12xdffLGr/dNOO21nnCwZm9fSN+5Wq9Vy/vnnd22Xl1xySZLkjDPO6NxPWC6XM+OMM6ZSqWTvvfdOs9nMlFNOmVqtlsknnzytVisbbrhhV3898MADA9b3jDPOSLPZzEEHHZRyuZw99tijU27f+Vf/cvbYY4/U6/UsssgiE5V3eeKJJ3buS2s0GvnPf/6TVquVPffcs5MXNqF4vPTSS13H380226xz/lKv17PRRhul1Wrl9NNPf09x3WmnnTrXlWu1WqaeeuokY5+z1b//77777gG/V15//fXUarXcc889qVbHPtehKIqsvfbaabfbOfDAA1Otjn0+XVEUufXWW1OpjH0OTf963n333V3b7Re/+MXUarUcc8wxabVamWKKKbrav/zyy0+wnccee2yazWa+/OUvd8aF+u7HqdVq2WqrrdJoNPLaa691bQ9rrrlmVzyvueaazu/cZOx95vV6PZtttlnnfpq+3w194wgTGh9fa621Uq1W88c//nHA4/EOO+yQVquVYcOGpVYbex9Xszn2vtlkbN5T/+Uef/zxzu/BSqWS2WefPe12O/PMM0/q9XpmnXXW1Ov1zD777F399/jjj3e188tf/nJqtVqGDBmSVquV7bffPpVKJZ/61KdSqVSy6aabdrVrxx13TFEUefLJJwdsx4YbbjhgP9xzzz1ptVr585///I55vwPtT7VaLUnyq1/9asD994QTTuhq37e+9a3U6/Xcf//9qVQqGTRoUCffpFIZ+7ynvvGBZrOZ/fbbL+12OwcffHBX+X/729/SaDSyzDLLdJU/88wzd9V/9dVX75zv9e0HzWYziy++eKef+h8/Ro0a1bW9jxkzJs1mM+eee24qlUo22mijtNvt3HXXXanVatlss83+q/vc+l5zzDFHarVann/++RRFkUUWWSSVSiXXXXdd2u12vvWtb6Xdbue2227rqtdTTz2VSqWSu+66K0lyyCGHvC0+RVFkySW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          },
          "metadata": {}
        }
      ],
      "source": [
        "n_qubits = 25\n",
        "n_layers = 2\n",
        "\n",
        "dev = qml.device(\"lightning.kokkos\", wires=n_qubits)\n",
        "\n",
        "@qml.qnode(dev)\n",
        "def eqc(adjacency_matrix, observable, trainable_betas, trainable_gammas):\n",
        "    \"\"\"Circuit that uses the permutation equivariant embedding\"\"\"\n",
        "\n",
        "    perm_equivariant_embedding(adjacency_matrix, trainable_betas, trainable_gammas)\n",
        "    return qml.expval(observable)\n",
        "\n",
        "\n",
        "A = create_data_point(n_qubits)\n",
        "betas = np.random.rand(n_layers)\n",
        "gammas = np.random.rand(n_layers)\n",
        "observable = qml.PauliX(0) @ qml.PauliX(1) @ qml.PauliX(3)\n",
        "\n",
        "qml.draw_mpl(eqc, decimals=2)(A, observable, betas, gammas)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "TIHRQVnDjAmi"
      },
      "source": [
        "Validating the equivariance\n",
        "===========================\n",
        "\n",
        "Let\\'s now check if the circuit is really equivariant!\n",
        "\n",
        "This is the expectation value we get using the original adjacency matrix\n",
        "as an input:\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "id": "ZCFN2RkSjAmj",
        "outputId": "7d5d2e67-9ffb-4900-8cdf-34489946896c"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Model output for A: -4.893948459273658e-06\n"
          ]
        }
      ],
      "source": [
        "result_A = eqc(A, observable, betas, gammas)\n",
        "print(\"Model output for A:\", result_A)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ncmkAwH-jAmj"
      },
      "source": [
        "If we permute the adjacency matrix, this is what we get:\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "id": "KjwEdmGXjAmj",
        "outputId": "1f2054dd-b18b-438e-85c7-cf23e2ce935f"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Model output for permutation of A:  0.37672998908782784\n"
          ]
        }
      ],
      "source": [
        "perm = [2, 3, 0, 1, 4]\n",
        "A_perm = permute(A, perm)\n",
        "result_Aperm = eqc(A_perm, observable, betas, gammas)\n",
        "print(\"Model output for permutation of A: \", result_Aperm)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ZOIqQmysjAmj"
      },
      "source": [
        "Why are the two values different? Well, we constructed an *equivariant*\n",
        "ansatz, not an *invariant* one! Remember, an *invariant* ansatz means\n",
        "that embedding a permutation of the adjacency matrix leads to the same\n",
        "state as an embedding of the original matrix. An *equivariant* ansatz\n",
        "embeds the permuted adjacency matrix into a state where the qubits are\n",
        "permuted as well.\n",
        "\n",
        "As a result, the final state before measurement is only the same if we\n",
        "permute the qubits in the same manner that we permute the input\n",
        "adjacency matrix. We could insert a permutation operator\n",
        "`qml.Permute(perm)` to achieve this, or we simply permute the wires of\n",
        "the observables!\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "metadata": {
        "id": "MgYVIMP6jAmj"
      },
      "outputs": [],
      "source": [
        "observable_perm = qml.PauliX(perm[0]) @ qml.PauliX(perm[1]) @ qml.PauliX(perm[3])"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "pb21hBrLjAmj"
      },
      "source": [
        "Now everything should work out!\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "id": "tpzF6L3TjAmj",
        "outputId": "6fe840c3-c8f5-490b-f359-2f2d8c281cae"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Model output for permutation of A, and with permuted observable:  0.07813512482425838\n"
          ]
        }
      ],
      "source": [
        "result_Aperm = eqc(A_perm, observable_perm, betas, gammas)\n",
        "print(\"Model output for permutation of A, and with permuted observable: \", result_Aperm)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "0wblJk9mjAmj"
      },
      "source": [
        "Et voilà!\n",
        "\n",
        "Conclusion\n",
        "==========\n",
        "\n",
        "Equivariant graph embeddings can be combined with other equivariant\n",
        "parts of a quantum machine learning pipeline (like measurements and the\n",
        "cost function). [Skolik et al.\n",
        "(2022)](https://arxiv.org/pdf/2205.06109.pdf), for example, use such a\n",
        "pipeline as part of a reinforcement learning scheme that finds heuristic\n",
        "solutions for the traveling salesman problem. Their simulations compare\n",
        "a fully equivariant model to circuits that break permutation\n",
        "equivariance and show that it performs better, confirming that if we\n",
        "know about structure in our data, we should try to use this knowledge in\n",
        "machine learning.\n",
        "\n",
        "References\n",
        "==========\n",
        "\n",
        "1.  Andrea Skolik, Michele Cattelan, Sheir Yarkoni,Thomas Baeck and\n",
        "    Vedran Dunjko (2022). Equivariant quantum circuits for learning on\n",
        "    weighted graphs.\n",
        "    [arXiv:2205.06109](https://arxiv.org/abs/2205.06109)\n",
        "2.  Quynh T. Nguyen, Louis Schatzki, Paolo Braccia, Michael Ragone,\n",
        "    Patrick J. Coles, Frédéric Sauvage, Martín Larocca and Marco Cerezo\n",
        "    (2022). Theory for Equivariant Quantum Neural Networks.\n",
        "    [arXiv:2210.08566](https://arxiv.org/abs/2210.08566)\n",
        "\n",
        "About the author\n",
        "================\n"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "seconds = time.time()\n",
        "print(\"Time in seconds since end of run:\", seconds)\n",
        "local_time = time.ctime(seconds)\n",
        "print(local_time)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "id": "HFTIJBPqph2f",
        "outputId": "a39e8dd6-f155-451f-d737-3f58f1e13ff4"
      },
      "execution_count": 23,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Time in seconds since end of run: 1701156630.432648\n",
            "Tue Nov 28 07:30:30 2023\n"
          ]
        }
      ]
    }
  ],
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    "kernelspec": {
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      "nbconvert_exporter": "python",
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      "machine_shape": "hm"
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    "accelerator": "GPU"
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