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        "# Gradient Descent\n",
        "\n",
        "David I. Inouye\n",
        "\n",
        "## Most AI/ML Optimizations Must Be **Numerically** Optimized\n",
        "\n",
        "-   One common algorithm is **gradient descent**\n",
        "    -   Primary algorithm for deep learning\n",
        "    -   Works in very high dimensions\n",
        "-   Other optimization algorithms\n",
        "    -   Expectation Maximization (alternating optimization)\n",
        "    -   Sampling-based optimization (MCMC/Gibb)\n",
        "    -   Greedy optimization (e.g., decision trees)\n",
        "\n",
        "## Gradient Descent Is Like Taking Steps Down the Steepest Descent Into a Valley\n",
        "\n",
        "![](attachment:images/06-gradient-descent/gradient_descent_.png)\n",
        "\n",
        "https://www.hackerearth.com/blog/developers/3-types-gradient-descent-algorithms-small-large-data-sets/\n",
        "\n",
        "## Vanilla **Gradient Descent (GD)** Has Simple Form\n",
        "\n",
        "-   Objective (**Loss**) function denoted by\n",
        "    $\\mathcal{L}(\\theta;\\mathcal{D})$:\n",
        "    $$\\underset{\\theta}{\\operatorname{argmin}} \\mathcal{L}(\\theta;\\mathcal{D})$$\n",
        "\n",
        "1.  Start at random parameter, e.g., $\\theta^{0} \\sim \\mathcal{N}(0,1)$\n",
        "2.  Iteratively update parameter via **negative gradient** of loss\n",
        "    function ($\\eta_{t}$ is step size or learning rate)\n",
        "    $$\\color{green}{\\theta^{t+1}}=\\color{blue}{\\theta^{t}}-\\color{red}{\\eta_{t}}\\nabla_{\\theta}\\mathcal{L}(\\color{blue}{\\theta^{t}})$$\n",
        "    -   $\\eta_{t}$ is **learning rate** (or **step size**)\n",
        "\n",
        "## **Stochastic Gradient Descent (SGD)** Merely Uses One Sample in the Gradient Calculation\n",
        "\n",
        "-   The loss function can usually be split into a summation of losses\n",
        "    $l(\\theta;x_{i})$ for each sample $x_{i}$:\n",
        "\n",
        "    -   $\\mathcal{L}(\\theta;\\mathcal{D})=\\frac{1}{n}\\sum_{i=1}^{n}l(\\theta;x_{i})$\n",
        "\n",
        "-   SGD approximates the full gradient by the gradient of a single\n",
        "    sample\n",
        "\n",
        "    -   $\\nabla_{\\theta}\\mathcal{L}(\\theta^{t};\\mathcal{D}) \\approx \\nabla_{\\theta}l(\\theta^{t};x_{i})$\n",
        "    -   Theoretically,\n",
        "        $\\mathbb{E}_{i}[\\nabla_{\\theta}l(\\theta^{t};x_{i})] = \\nabla_{\\theta}\\mathcal{L}(\\theta^{t};\\mathcal{D})$\n",
        "\n",
        "-   Loop through all $x_{i} \\in \\mathcal{D}$ (One pass through dataset)\n",
        "    $$\\color{green}{\\tilde{\\theta}^{t+1}}=\\color{blue}{\\theta^{t}}-\\color{red}{\\eta_{t}}\\nabla_{\\theta}l(\\color{blue}{\\theta^{t}};x_{i})$$\n",
        "\n",
        "    -   GD: 1 large update with $O(n)$ cost\n",
        "    -   SGD: $n$ smaller updates with $O(1)$ cost each\n",
        "\n",
        "## **Stochastic Gradient Descent (SGD)** Merely Uses One Sample in the Gradient Calculation\n",
        "\n",
        "<figure>\n",
        "<img src=\"attachment:images/06-gradient-descent/gradient.png\"\n",
        "alt=\"Full gradient is average over single sample gradients. This is why it is “stochastic”.\" />\n",
        "<figcaption aria-hidden=\"true\">Full gradient is average over single\n",
        "sample gradients. This is why it is “stochastic”.</figcaption>\n",
        "</figure>\n",
        "\n",
        "![](attachment:images/06-gradient-descent/slide06_pic1_Stochastic_gradient_descent_SGD_merely_uses_one_sample_in_th.png)\n",
        "\n",
        "https://golden.com/wiki/Stochastic_gradient_descent\\_(SGD)\n",
        "\n",
        "## **Mini-Batch SGD** (**or Just SGD**) Uses a Small Batch of Samples in the Gradient Calculation\n",
        "\n",
        "-   **Mini-batch SGD** approximates the full gradient by the gradient of\n",
        "    a batch of samples\n",
        "    -   Sample mini-batch\n",
        "        $$\\theta^{t+1}=\\theta^{t}-\\eta_{t}\\sum_{k=1}^{b}\\frac{1}{b}\\nabla_{\\theta}l(\\theta^{t};x_{k})$$\n",
        "-   One pass through dataset\n",
        "    -   GD: 1 large update\n",
        "    -   SGD: $n$ smaller updates\n",
        "    -   Mini-batch SGD: $\\frac{n}{b}$ medium-size updates\n",
        "\n",
        "# Gradient Descent Demo for Simplified Logistic Regression\n",
        "\n",
        "## Create Simple Logistic Data and Plot True Model"
      ],
      "attachments": {
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vLVNB6dNNUZgJEWHcmAJl9BRElVIUT5nYgcIz1drQyoCjLZk9fD6/kemU9E/+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\nfJ27eyM1dVh84jCnLS1QhH3Ty2Z60PoUX7HXi48s43RNjWc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        "images/06-gradient-descent/gradient_descent_.png": {
          "image/png": 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ldxXiq1isxDfZJa49tjfQc5eRsN31zK00cej0O9yUj6iTkZH5HiKLaxdy6ORZ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gFWOOws8vl5NzePxbEiPokV8omw4URFgH+uFDiJ+MPFeSE+9lhZ5tKxptAtBU1bavLZWp3HlooQ\nWyojbK3JZ0tlmI3FHlb5LXxuUfOxJpNPzWJeGeLzaD5LoiJAIhEkIZSw8ijN5wsBfGLrTNjKxgIb\nOyq97GkIs6c2wSxTq0LsqA5JkdPexgi7G0JsK7Cy0aVinS2dNa4clkccLI8JxbBo1QpxU/7UPtQQ\na8vyWZUf4AunmbUhM3sqnOyfmn0eqEkc4uu9dSHpHd0rwLUqxJ6Yhf2FetS1bjS1Xg5FrWzPNbAu\nomd1vjOxeadC+HbzZMSjECKtCZs5nLkb19cf4v/kHexrPifdmcOe+gj7qsMcrIlwtL6AA3Efu6NG\njpWZUNfa0bf4MXWFsPf5sfX4MbT5yWmzsq/sCJ+seJlH75jLdbfOY8adtzD3obuY8/oi5m7O5l23\nl+OtYY41heWHggNNBewp0rA542Pe37mU3+49zCq/CWt3AMdQDG21nv0Hn2f51t/xpjpHWpTMHWFM\nTS6UFUY0FXrs9Tpigzr89j0cee5jsneq8PUNEXTY8e/Zh7uogdg4jH8PCSZqTTTp3+SIVsOWwCgN\nA9/7Q91dwVhoNzaHjW2hAcq6//D390xnjP7AVkwOF3vCE1TLlqtgUh10lHrQfbIV5QEb/mHxne/9\nu7EeBoKrsaV+zIeL0tmlrJCCp98bh54ZYNT3FZZNT/D6Sy/w5NPP88ILL/D8M8/wwquLeH5VDutM\nNdSPnvwjwCpKfPckg00h8g58jC7zCDlVZ6n618Zkv/dEA7TbtmD8+inee/U5nnjmBXn+Z596gt+9\n+Aof7Q9wpAJGvvd+fvvPm/wM+LaS7QiyJ3+MVnlOwU6bafCbUH+wFWVmGN8Q9HzvnKcGaml3LSNr\nw2e8/34Gx521NP8g/vBMXzVD4VTcDgO7AiMU/f/9sPD3W00tnWSpPDz/2gauve0DLk55g1/OfJ1/\nSnlLro+85LrFXHyVAFXxmLDhvMbFKa/yj7Ne4/+Z8Tr/95Wv8fNZb3D53YtJeW0rc9bZmZOay3Vb\nI1y/zs685WpuXprFzZ+fYN5aI9dudXHNnjD3Hw2z1FRAcdsfBHP+aHUBXP+EEobmyclJGcUlgPZ/\nq86eo6WrgxMBJyuMat42Gnjb62NxLMpiYcUR9pvfs+KI+yE+9ptZ5lKxJupMtIMFY60IkVoRYmtF\nSN4XLeL1QtxT4GW5x8znmgyWak6w1G6XM1VhxVkirTihxFac8kKWFUVYku9PMNeAmY1hI7srPFJV\nK2ah2ytDpNaFSK1JnGtPjZjBBtkStbMpqGdvSMUufw5rnDms8JsTkYTRMCu/b8UpDrMi7GGF08T6\nsJnUCid766aYa+XUnLUuJMFcnGO3ANf6IDsKjezKVaFs9GBqD6GpdpMWM7EzrGRVQM/SsIuvivMS\n1yEESGE73+RaOZBzEMOqZbg+fhf7l5+QoTvO3gp/QjjVKGauYfbF3eyPGkkr1qOqNKFv9mHqDGLs\ncGHs8GDsCKFvDaCsd3K42MDWQA5fmtP42pXD7moxu82VjH539RTbFsw+LpTPYfbWBNhR5GZngU2e\n40SNBVOnC3NXAEN7EFWjG3WTOEcQU1dEnktd50RVYcBcbcDTaCLQYSfc7KYgHqC1UwTlXqgL9fdZ\nfQPDHMm08fLbW5hz6ydcNvttCaAy3jDlbf4xRYiXlvLrlI+5RDLWl7kk5VX5M/8w/TX+e9KL/L+X\nv8A/pbzOFQ8tZfb7+5m7zc91qQWkbAhy3Rozc5efYO7S48z9Koe5W31csyOX2akhbtjl44XMCOHG\n769R/HHrArj+CSXAdWJiQgLs/za4Ci4w0INKWGrcWr506vnIZeH9gIeP8iN8UpSIOxTt4k+j+Xxc\nkGCuSwJWlgd0MkBiUzwsGevW8uDvMddNVbmsLw+xrsjHuoiVdc5s1jmyWRsw8nXIxWe5QRkiIeav\n59mraBMnmKtoC9vYmG8jtcwrWeqemhC7BKhOMVdxX4Drrsog24rspBYYORQzcazIxMEiA1tyDXzt\nNfF12CPzhOXatri4LWBFvo+VTi0bc03sEUrhhimFsJiDTjFXAX6CuYoYQSl0ilrZX6hD3eTA0uXH\n2BJAXevieJmR1DwDq/1mVkS8LBestcDLCvHBI2rhkOkYhu2r8XzyLt6P30WpPsLBeEACuATXxhC7\ny13szjWSXmzCUGvD2OrH2BnC2OGfOkR7OIy1OyRZbFa1gx2+bDb7cthX7eNwaz5HWvI51JSbANcf\nXMfeqhAHy9xklJhR1zkwdvqnwDuMvqsAU08Bjt4I9t4Ips4wOdU2sko0WOuMhNodRHp85PcGKewJ\nU9FRSEtHNafPfr+dm/j9O/cvcD1RiV/RP/7473/3X/gZEQz1Rx+a+uYffzBR5x/6137mj9W/9ON/\n9Pt/9Ju/X3/Cj3y//pQf/5ffl6n6lx4U3/72oX/hZ/6DVXNrO0q9h1c/2MEN937BtDmfcsXV73Hl\ndW9y0dWL+GXKx/wyZRm/mr2Ui2Yv4tKr3uGK697nkmvf45cpb/MPs17l/53xIv9T8Ry/mvMmyc99\nw9VLM5m7OcScLWGuXW/n+m80zF2Tzdy1aq7faOGa7QGu3pXHtXsKmLfLz5NH/QTq/tg2ix+n/u7B\nVYDhnwOIosS/P89c/5zqGR1EWx5id66JzbkmvvIKgDXyaTjAEhEmIcVNgmVG+SQ/X85clwoPatjE\n2mKPBNftFSG2TTFWOXOtj7KlJo8NFUHWF3nYWGAlNaJhd76a3UVG1uVbpPDoK+E3lVtxwvIQM9ev\nhMBJgGvEzsaok22lfnZWCob6w5lrglVurxDgamVn1MjRcjvZom3b6OZQiYlv3EpWBqysFIlKpcEE\nuMajrCgMsMKpYlOeKQGqAuSm5q3nZ64Hpg4B7KnlQXZFbRwqMqJusmHu8khwMrQH0DS5OV5qZWfY\nyPqglZUhB8vz7KyJ2dlabOGIKxPDoc34Pn2H4DuvoD1xgKMVfumnleBaH2ZXiYvUkJH0EgumRhem\ntgDGThFRKAA2cVh7QzgHQji6Auhr7BzyHGeH9RA7c9XsLrOz7wdz48R1hNlfG2Bf3MWhYgtpUSOq\nGqcEbgGi339+eXSGJZs9ETeREVVirzeT1+MhOhCiYCBAqNuJt96Mv8JGc089Z87+YUv3Ql2ov8Ua\nGholR+fkrY+3Mm/Bl1x+/ackzV2KYu6HJM19m19fs5ifpyzjn1OWcknKJ1yc8i6XXfM+ijlLueS6\nj+Q89uezX+Hns1/kH2Y8z69uWcSMN7Zz3dca5q73M2+jh7kbDczdqGbuZg1zt1u5foeHq1KDXLUr\nnzn7Crlhh4cnDjrx18ph+k9Sf9fgKkDx1KlT8vhzAVawV3H8OdUzOoyurIA9hU62l9hZX2hkRVjP\np14zH/hcfFAQ5sOiPD6KRfgwP8LiUJhPPA6+8Bj5JuZhYzzMpooQG8u/awcLBfHWWsFgg3xTaGdt\n2Cg9m4dKjBypsrG7zML6PCNfBywsCbjkppylIl+4WKiFg7LFujxoZUPEzM5yj/S4CkA9rxYWrFW0\niXfURKS/dlPUyLY8NWmVNlQNXlQNAU7UuDlaZmZ7SM9qj56V+XZWlIg5bC4r8nyscBrYEDaxs9LN\nvrqABCXJUH+gFt5XGWBvhZs9+XoO5mlQNyRaqqZO0Ur1SoBVNbhJq7CyL2Zmc0jPF44cvvRq2Frk\n5LBPjfrYNtyfvk3w9efRHknlSKGdAzUBKTraLyxGUTepIRNHSyxoG1wYJLgKZunB0OGVwGfq9GPp\ndmPpDmBs8XEiqiYjnE52UQ5HY2pS83XsKnexX8yhayJTlqIw+2p87CyxsK/IQFqpEVW9Tb72BHNN\nnENch2w9twVQN7o5UaYnJ6bEWW8it9tDtD9EwWCQUL8Tf49NtolDjW5KmgsZmvzpxBcX6kL9Jaq9\ntQetxsfbH23nhvs+ZdqNX3DF9V+QPPcTLrv+A/7pmvf4p6s+lK1gwVgvvuo9Lr5uCZdc/zmXXv0p\nl1y1iF+nvMIvp/+On097kX+Y9Rq/uv0zpr+xl2u/VDN3nZW5m8zM3aJn7l4bcw+4mbvNypwtDq7f\nk8/Vuwq4aouf69freXK3Dn+1mIj/NPV3D66Ccf657dwfq7pHhlGXFrA75mZXlYfUuIMtxRa+Dhj5\n2G1icdjNB4XBhMe1QIBrUILr524za6JeGX943ucqwVUAbTzIttow26bA9RsxOy0wcrTCSmaTm2O1\nTnYXW1gX0POlyyCZ6pKCIMuiEZbmBVgacLAiaJbMclfcwz5hxTnvQZ0CV8FgJbjWBtlYYGRbRE1G\nlRVNkxd1YwhtSxBNs4cjRSa2+jTyNawscLCy0D81czWzPmxhR9zFvqmZ6x/4XMXXFT72lTnYl6fl\nsARXL2YRHdjpxtTplQxQgKFgsCeqHRyIGlhtz2C57QSb8izs92vJydmHa9l7BF9+Gt3u9RwL6jlQ\nlZiVJsDVSWpIz9FSi3zNgj2aOoKYO9yYpmauoj1saHdh6PSjb/WjqTChL1HhrFGjK1eyPzeHPTET\n+6p8slUu2X59hL3VPrbHLOyJGTheYUTVaMUkX3vge+CaOIeuLSBnsDlletQxJe4GC/m9XqL9AQoH\n/UQG3ESGXESGnDgb9birzNT2VTF0apCTpyY592d+0LtQF+ovW+cYGBjCYAzywce7uOX+ZVx23WKS\n5n5N8ryvSZr3IRdfu5hfpHzEr2Yv5pKU97jkqne4+JrFXHz9Ci6+fjmXXL2YS656g4tSXuSX01/i\n59Ne4x9mv8uv7vyKmW8e5PqvlMzdoGNeqpkb9tqYdzzA3LQQN2y3cMNmK/P25nLdrjBXb7IzZ72K\nJ/dqCdRcANf/rfprA9eukUGySkPsLHJIcdC+hqBMLEotdrE2YpUA+77PyWcioakwT4LtkoCDlUEn\na4v8bKoUCU0httZMtYWrQvL+lpqwDJVYV+RhU4FNguuxCis57QFOtIY4VuPnQLGV7RE9X3oMfOZz\nsjxayFe5EZa6zKwOm9le7mBHrZ+dDWH2CgWvYKxCuDPFLndNtYW35lrZFTGQWWlDOwVOwlKibA+S\n0xgkPe5lW76O1UENK4SS2O+UgqZN+YlrPjA1c/29hKbzbeG4jx0xBwfyjaTHjGibvJi6wgnmJ9lf\noqUqziluVQ0eDuRp2eLOYp07k11eJUp7Nq5VSwi+9BSmrSvIdJ7goPjQ0JwnBU27im1sD6lIi9sS\ns9bOMOaOEI6OIHYJgOdbt0E0LT5U9U60FWZs1UZyu6yEOiyYq/WkRzXsiWjZU+5mX2OuZLF7qwOk\nFrmk2vl4hQFVg0O+dpOc6SaeM3F81xZWxU2oYyr8LU6KhoLEBtxEBzwUDgQpHPRSOOCgoN9DXpcf\nf72TgroQ7Z0NTIz+a5LZC3Wh/rpKbLhRKa28+9E25t37KdNuWIZi7nJm3bqKGbd+yWXzPuSiaz/m\n1ylixvo+F6e8zSXXfcbFc1Zw8dWruezqL0ias4hLrnuVX6S8yM9nv8HPZ3/A/xRgfOcKrn73IPNW\n5TB3i46bDnm47UQ+N57IY96xALfutnLrdjNzd7iZu9PJLbuN3LxLxxNpDvwNP51U++8eXEVL+PTp\n038V4No20kdGqZ/UmEMyQtGqlNF/lQF2RF2sDJjl4vJPAz4+DHhZHLCzLGBjdcTBuuIEuG6tDbG1\nOqEY3lIVYlttiE1VYdaXBfkm6pIz131RM2lxBydaQpxozSW9IUxatYeDxVY2Bk0s91r5Ouzjc7+b\nJU4TawSrLHexq9bProYQe6YERucFTYn2cJhd8SBb8yzsiOjJqHSgbfKjaw2h6wij6QyjbQujqvdz\nuNTK9jw96/0mVol1eVY1G3Mt7BUt4e8LmgRjnZpZCsXwjnIfqYVODuSbySw2o2vySQDUtQZkG/U8\nQMm2bU9EstiMYgP7g1ns8Kazz3eCTEcW9m+WEXr1WczrPyfLcIRD5a4EuIpIx2I7u0JqMiusmNsD\nmEQbuCOErSMgj+9A0I+62YOy1o62woCj1khhv4fYoIdwuxVLlZbMqIpDxSb2CgVyrZ89leL1O9hb\naCWj3IymwS1BVM5c26euo/X8ORKtYWHDEeDqa3YQHQhMAauXggE/hQM+YgMeYsMB8vt9uOsMuMt0\nRKt8NLbFGRkb/LNHFRfqQv2UJf7u9vUOYLH4WfzRRuY/INq/73PZtZ+TPHc1s25ezbSbv+SSeR9x\n0bWCsX7MJVe9z8XXvM8/X/cl/3zdGi66eiWXXvMZV17/Bhdd+zL/K+UV/ufMd/mfsz7iF9d+yGX3\nfc21Hx3kho1a5u52cFNaiFtzCrkhO5+5xwLcnGrklo0abtxq5ubdVm4/auW2IzaezAngber+4Uv+\n0ervGlz/uuosTSNdEly3FTq+Zz0JcUCww7IAO4vcrA1a+MisZpFZw2KXiWU+oxQ0rSv2yhnrhvi/\nbMVZmWdjXcTI4RI7GVUe0upDpAlglbchjtcEOFTiYVvEwhduNZ/Y1SxxGlkTtLIj5mRftZ99U1ac\n1D+w4kQk89xcYGBLRE16lQd1YxhlfQhtc0Kwo232oqxzomwIkBH3stunY70pk5WGNNb61aTGXeyt\nT8xc/8CKEw+xvcQnd74eKDAlwLXZh6EjKMMeEhYWwfjEzNKJSYiNWv1klupIK8jmRKGSjFAWx40H\nsHzzGaE3X8K8+jMys/dwSLSam/LZXxlmb6GL/SEjJ35P0PT7VpyEatiJutmFsk6Aqxp7jZb8Xr9k\nl9F+J/k9FnytBrKK1OwOqdlXamdPmZPtERP788zklDvQNSY+HMh2tmCp4joa3d+2hYXdJ7s00RZ2\n1ZunZq5BCgYDhAac5A14pcApb9BHqM9BuMWCr0qDKZaOr9xIXXs5w2MX5rAX6q+3BvqHMBo8fLpk\nG7fe8y4z5i0iac5SkuZ8jWLuKpLnruLKuV9xyVwBru8mvKzXfsBFc5fyj1cv5xdXreTXc77kkutF\nS/hl/jnlZSlo+h/J7/F/T1vMRTcsYsZvP+f6L48wb5educcKmJtRwNz0EHMzI8w96mfOeiU3rErn\n1s065h9wMD87wK1Zfp7QRHA2X7Di/F1U20gvGaUBtkcdst26tzrM/mph5QjL3ab7qwKklrhYFTSw\nxJbDR/oMljmUrMo1s67Ux4Z4hPVizipY6xS4bikPSRWx9LnmCmGSkf2ldtJqvWQ2h8hoSoBrZnOY\nrJYw6TUBDpa62JZnZLVLyReGTNa4ddKfubsyKBmq8HDKEInq70Ik9tRG2F0dZEu+SbaXMyp9aBoj\nElgFYxWtYV2bD22LF01bGGVjkLQSC3v8OawzH2OjJ5udJVb2ivmniDmsDn/PwiKeO4/U0mACXGMm\nMstNElwToO1D15Kwycj5pZi/dgk/qp/suAlVmRZrjRFLpR5DbgaurV8QfP1FHF9+jPrYTg7HHOxt\nLGC/+IAQc3IgpCO7zIqpxSd9tAmmKoB8yorTHcDa40Xb5EZZZcdQqcNVrye/103RSIDYqJ/YiIuC\nXguuOgPqEj3Hig1SiLXdq2V/rglltQuDCKiYYq4CXMV1aFsS15S47yWn3CDB1dNoo6DPT3TAJxmr\nANYCCa4+CkZ8RIY9BNqseGu0OMuyCFRrKOnwUtdbSudAOydP/XlK9gt1oX7sGhkeJhiK8tlXu7nn\n0SXMmLsIxfWLmXHT5yTftBLFTd+guGkNV9womOt7XHz9O1xyrbDbLOHia7/mV9d+zT9d9yW/nruM\nS+cs5vJrX+PXV7/B/0p5j/9n2gf8z1kfcslti5n90hpu2Kbj5vQIc9NjzBFHWh5zxMz1gI2bN2Vw\n28Z05u+3MD/Tz3xdPjef8PObnAD2pgtWnL+L6hwZILM0wI5iR4K9CUCtELF/okWc2A4j1r0JsdO6\ngIplyv18YU5nVcTMuhKvVAufFzKJQwCsYJVbxPfLg6zPtbJZCJpK7Byr85AjrB4tIQmuYvaq7EiA\nbXpdkIxqD3tCalap9rPOlkVqzEVqWUCKl85bcQSb/L4VR9hktuVa2R0xkVnpSzBW0e7sTDy3dqrd\nKVrEYgYr2qrppUZ2utPZ5TvBAZHpW+phf1zYVhLXLEIjpNioIcquijCpUQcHisXzm9AJ8PtjNhYJ\nsglxk7LSgr7KRKDdSaTHTbjRTPjgGkJvvIj/k/cx79nC0YiNPfVi3VyYfaU29oeUnKi0Tc1z//D5\nbb1hacXRN3pRlTswV5vwNZso6LUTG/ESnQgRHfURHXBS0usir9WOtlzLwUg2qc4c9kd05NQ50LUm\ngPSPHlPnVcXNsi0caHVRNBQiNugiKueuIQms4hyxMT+FY0E8bTbctQby64zE2gxEBwzkt1uJ1ofo\nGfrp/khcqAv1b63x8QkK8mNsTj3OnY99huKG91HMXcqMm5aSMn8Z0+evQTF/A4rb13Dlrcu4ZN47\nXDT3PS6eu5SLr1nOxSkrufi6LxL35y7jsrkfo5gr5rDv8POUxfzDzA/4xTUfcsm9S5j1biq3HA1w\nm7aMeelR5qTFmJtWyJzDbm7Yq+Pu1HQW7Mnm9hM+btMXMN8Y5YZMHw9nurHVX5i5/ptLzFl/DAvO\nj1dnaBrqJKPST2qpTQKo2JkqAVYAmGCwU7m+O6uCbC2wst5xgjXmDNbYslmXa2NDWeC7NvAUg90s\nmWuE9WUBVgeMrPdp2F9sI63GTWaTh4xGvwTXjEafvJ8uREcNQTLrPRwuMpDqSGerPZ2tXiXbRJBE\naYBdlQkBk2gJ76j2y9e6ozLI9vIQ23JN7M7TkVnvQ9MWQtPkQd3qQ9kZQtUaloCrbw+jFcBe5yGz\n3EpWoYbsqIYTxXqOFFjYk++Utp/dwi8qPlQ0itlznpzpSuZaaJK7VgXTEww1oRROAJVgsOKcgvkJ\n5polmF+FjkC7g9w+L+F2O4XKzRR99gbBd1/BuHIZRzxqdtUG2VXjY3epmf35Sk7UmDB1nU9nCkob\njqEjcQ5zdxhLd4IxK6sd6OM6nHWCuXooGvYTHfEQHRLA56dYzER7HYQ6rOjjGva6jrLHm056qZ4c\nMa9t8WFoF9eQuA7BkMU59O1CYe0lJ25AVabE026lQDznYGLWmjvgIV8yVz9Fwz4Kh9x4Wq24avWE\nazUUteuIj1ooG7BR1O6isj2f1t5ahieGOH3uwhz2Qv371djEBEXlNazffpTHXviK2bd+xGVzPiHp\n5q+ZdtPnTL9pCcm3fYNi/noUN3/BlTd8zCXzPuSfr/+EX16zjH++9gsuvvYL/umapfK4bM5XXDlv\nCZfNe4dLrnuLf05ZxC9mvM0vrl3EJY98ycyPDjDvcIiblOXMTS/m+qMRrj/o5OZDNu44ZOLePSru\nPWDg9uwIt2mLuE0T44bMIA8rg5jq2zn7EwV7/N2CqwBWoRL+axB8nDt3lslTY1T1N5FW5WdbqVVG\nAe4Wq9C+H6Ent9CImWeYHcVedkTMbHfmsMWawcagng0x13cAK0E2cYhYRAGuK/161nnUHC62kVnj\nIr3eSVqDLzFzrfeS1uAirT5AWkOQtEYPR+MWDuaq2efLZLc3g51hnQS31FL/VPxhmNRav5yVpsZ9\npJYHZMbvnjwNmY0e1NJ36kLZ5EHZHiKnOYyyQQh1EjPFjCo3WeU2jHEjtioj1ioz2YK9RgzsLBLW\nHKeMDJQBDGIdXEVCEHSwwExWiRA0idzf35+HCsCTgfvtiZlrRrEOZYkGf6udSL+PcLebYvseyte+\nT95bz2P95B2OW46wu9zO9jIHO4qM7I8qya41YpY2mQS4mr614iTSlAQgqsUMudY2NXPVkd/ro2hI\niI4EuxTAFyQ66CU25KJ01EOwzURa4DCHvIfIKMzmRIVBzqB1IgVKPq+Yt05ZcVoDUomcE9ehrlTi\n6jCTNyRCJIJSzBQecJE7dY6iQR+FfQ68zWactTr89SpinXrqxp3UTbiJDzqJtliINbho6q9lcHKQ\nU2fEB8sf/iZeqAv109bkyVMUV9axN8PIoy99xYyb3yZ57hKSblyOYv4qFDd/hWLe5yhu+QbFbd+Q\nfOOnXDn3Qy6Zs5RfXbtMxh3+6jrBVpfySwGuV3/BFXNWkzTvCy6Z+w4XXyusOG/xjzPe4BfXv8el\nT65h5ufHuf5gmBuySph3vIB5hz3ceMDIXcftPJDh5v5DZu49bOf27HxuUxVxuyrKjZkhHlaFMNS0\ncvqMyNL+8f+z/N2C6/nQh78G5irAdXxymPKueg6V+tha4mBvrRAPBRPgWifmj+GEyEcsK68Ls0us\nfwubOFRo4nipiV25GjaGdKyPOllfGkisnKsOs61OJDUJtXCAbyIWNocMHCm2caLWTXZbQM5dBbhm\ntQTkfcFajwuwbQxxpNLB/kIVmeVadLUmjhVq2RHUsr3AIdOatleG2VUrlqcH2FXtJVUoinNNHMwV\n69ocaFq86Nv80uea0zgFrgKUOryo21zkNLjJrrKgqlDjaBSCHR+eRjuacj2HitTsiOqlDWl3ZUAm\nKO0u85AaMXOk2CJBSShrE4zvvOgoMauUyuHOsAzdzykxoy0x4G+xkzccoGAsSCx4hOKtSyld/DK5\nS99Erd7OgUgO23MT8+L9uSrUNTacXUEs4vk7QtilWvg7m4y4Vde7ZP6wqUqHp9FIQa+T2KBgrAGi\n/eLWQ3TUT3Q8QPGol9xOC5bSExiiGRhLslGXaTkRt5BT55S2HkNHQDJxIXIytPrRC5tPpQ5jpZJA\nh5OoEEuJ5xzwyJQmwWBFi7hIsNk+P946A65qNbkdZoqH7MQnnNROeqkbDxDvd1HS5aC0y09VdxEt\nPa2MjI3/8FfxQl2on6xOnjpFdUMLWw5rePT11Vxz12IUcxYz6+ZVzLhtPYr560i6bS2KWxPAKsA2\nef4yrrzxMy65eikXXb2UX1+/hIvmfMHF85Zz2U1fc/nNK7l03gYun7uCpHnvcOl1r/OPIlt49iJ+\nceNSrvzdNq5ereSm9HxuzS7g5oN27jxs54FMLw/rIzxiymVhppsHjru4PTvE7dpC7jEUcfNxLw8d\nsWGpaICfKP3s7xZc/5pKRNf1DvaS31TJgWIv20pccqYpGZu0ogQkgO2rDHKgKixD4HeXiiQhI8fL\nbaibRK6ugd35GrbmmdhY4GB9sZfNolUrwLUmwoayIOsiFraGDRwpc5JV7yWnLUBWc3AKXMPktIUl\n2KY3hEivC3Gkws6BqBJNnRFPtxtNpZkj+Vr25JvYUWhne5GXnfGgTB/aVRP4DlwjBrKr7ehavBgE\nS20Jo24IoWoOomz3o+z0kCPB1Ul2lQlluQpnk0WysLweF64mIzkVKg5F1ewuMLGr2MneSh87Yw52\nhIwcEwEPjc5EepK0rIj4w+/AVX7dFcbQEiCnyIy22Ii/zUHeaIDCiSCFhRlE968k/ulrlC59HZdm\nK9mRLPaFtOz0q9nnz0ZZYcMuWsBCcCTBNfg9cBVzUZFnbENVbsBSbcDXbKag7/vgKkDQkZi9jgeI\nDQsvqhV3tQZPpYpArQZHjQ59lUECtKraJn278rUL8G4JYKh1oq/QY45rCHW4iA5+B66F3wPX6JBf\nKpU9NTrclSryu62UjDgluNZMJMC1etRD+ZCDWLeFaLuL8tYoTV31DAz1yy7OhbpQP2UJYC2vaeaI\n0sVT721k2h2LuGLeByjmLWPWbeuZefsmOWNNmr8RhTxWo5j/FUnzl3K5BNclU+D6ORfN+ZpL5q3i\nyltWkXTrai69YR2XzvmKK65/h19f8zr/S4Bryvv80y1fMu31vcxZr+PWtCB3ZAa465CZ+9NcLNTk\n8qgjxqPOQhbmeHggzcntOQHu0ERYoMtl/jE7jx4zY4vXXwDXv+U6efo01c0tOMpjHCl3S0/pjqlN\nM4m0Io9MLxIAK5aFH6gMs3sqpu9IiRVVg2gtOlHWWziYp2abX836sIn1MXcitak6V7aL1/n0bPFp\nOVLpJaNRsFTRBvZOtYVDpDeGyG4Pk90alFaaY8Vmjglwrdbj6nTi7PBjavTKVuu+XJUE9+2FLnaI\nNnVVrmwLbxNt4VwN6kYPxvYwqoYQmuZEG1XOEEWbuM1Pdpuf9GqrnInqyg046yyEO11E+lwEeu04\nm0zo4lrSoiqZyCQY67aQWbL1Y0UG1NUWye7OW1hEGpRsC4tgBxFb2BFE3xIgI1+PMqrB320nMuYl\nPOQir/QEsRMbKf/0Fco/eZmYdR+eMh3ZhSoO+bPY60wnrcggX69BiqMEe/1eQlPnlBWnVrBuowyN\n8DZbpJo3Nni+LexMHKIlOyjESC4inVbMlSo8dTpKe+wUd1sIN+uxlqnRRNUoy42o652JDwzNAVRx\nJ5oyM6ZKA94OG7mDv98WTlhxguQP+gj2OnDVaHHHleS1GigbsFInwHXURXzQRcWok4pxJ+WDDkp7\n7RR32citthAocNLS9tOl0FyoCyVawTWNrew8buHhV9dz9f2fkHTbByTd+jmK2wQ7XU+yBNQNU8Aq\nWOxykm5bwqU3fsTFcz/i4jmf8atrv+DnKSv41bUruXjuSi6et4pL5wnG+iWXiXnsVW/xv2YLtfBb\n/OPst7nkls+Y/fZ+btio45Y9Ju4+ZufhLB8PqnO5z1DIw44iFtoLeDDbzj3pVuYrg9ye7eOedAv3\nZBh5zuDEVt801Rb+8esCuP4FalJ8qmtqwlRewMEKNzvibika+nYDTZVXAqxgsAfqhS0nzG6h3g3p\nOFpmlQzR0i3AzEF23MzhAj07w3o251pYF/PIlvCGEh8b/QZSA3qOVPklQ5UCpqmZqwiSEN870Rbm\nRHOQ9BqfZIhpUSX6GiPeHi++3iCuDj/mBis55XoOigzdPAvbYh62lgbZWhpgW76RfYU6lMKD2hlB\n0xRG2xpGL8MefFJspGoPkd0qZq4Wssv1GCqNuBtt5HZ5yB1wEx50Eu524mu2yZZrVrGW/Xl6tvm0\nbPGoORI1oKm1SeYqwE8853kLi5hfivu6Nj+aRg8Z+RpURWp8vXZyR71EhBCoSkXMuI2ypa9Q8eGL\nlBp3k1ehw14pgDiH477jZBYoUVVa0Na70LcI4PZOeWjFlhxxLg/qajOqUh22WiOBNjsFfT5iQ36i\nw0LQdB5gpxKVhtwEuyxY4ip89ToJeNXDLsr77OQ2GnFWaDCUqtHEDWjF6rk6L8q4G02ZAGQTvm4H\n+aPePypoKhjxEx504arVSlZc2Gakot9GzYiTmhE3lcMeKsZdVEw4qR7zUjnkoqjPgL8mB3s4m7Lq\nXIZHuzl9+uRPMVq6UP+B68zZU8Rrm9iXaee5xbuYce8ykuZ/QvLtS1Dc/jWK+WtImr9+irFuZtod\nW5l+5yam3bGcpFs/5fJ5H3HpnE+4eN7n/HrO1/zz9av49ZxVElwvuWEll9+4guR5Itz/M355zQf8\n4up3+OU1b/Hrq9/hyvlLuPa9vdy6RcNdh0w8kO3mUX0uj5gLecAa40FXEQ9NgeuC4ybuSHNxd4aT\nh7KtPKC28juHH1tzO6d+GuJ6AVz/EnXy9Cni7c2YqgvZU+EmtcqdsLeILTCSwU7tBhWHSGwSMX2l\ndlJDStLjIvxdsCvBqlxSgKNp8JIeM7E7omd9yMS6/MRWmy1hM7vzLByt9ss2sLDHZP2BFUfcD8tw\niWNxB8ejSkz1FkIDIQmwrk4Xwf4Ani4fmkoTRwr1ksFuzLOzMeZiR6GZQyVmsoRnsysxm5Txh1O3\nclYpVqm1+skR89a4Hn2tAW+7ACIRiOCVAQlyptgXJNLpwtlkkzGAe3w5bDCmc7BQ/23u7w831py/\nL+a9OTU2smNq9OUa/L128kcCRAdDROsNRF07Kfvqdco/eIGiExspKM4h3ObAWW/AUJiGPj8TfVQl\nwVO0bAWQi2AKKZ7qSgC5qiIRTehqsJDb7aKw3/kHVpyYSFIaDJE75MHfacERVxGs01Le76B2zE/9\nRIjqES/F3VZ81WpMZSq5vzU7bkMZd6Eps0hwDfV5iU0GE6Dd/wMrzniAgtEAnjo93ioVJd02KgVb\nHXBSPeKT56ia8FAx4aJuMkjNuJ/iIQu5bRqCFUoK4jqqGn30DbRx+tS/v8DvQv19lBDNNXe2ckRl\n44GX1zHrga9QLFjBjAUrmH3vSqbdsYKk21bJWasAVsX8VGbevZOUBduZftcKFLcKi84SrpzzORfP\nXcFlwvs6f6W8FeB6xa0rSb5tJck3rOTKOculJeeiOR9w8dy3uGzue0y750vmfbiLu3areFjl4VFb\nHgsdhSx0RuXxgLuI++wFPJzj4OEjeu7dZ+DBdDtP2oM8YvfzvDuCtbnnArj+LdfkqZOUNtagKwuz\nu8LNtkoXu6vF7tSA9JHurhIMNizTioTISaiIU4vElhklx8rMU35J0ar0SQGRrtmLptZFWpmFXQV6\nNoX0rPPr2eBRkRrRSXDNbI6Q1RzmRIsIjwhxosVPVrM3IWiqC5FWGyC93E5WVIep1oKv14e7z4er\n14uvz4evx4er3Y222iaZ8vaglk1+DTtCGg7HjKha/Oi7wjI0Qi2AVICqsOK0iECJiBTwZJUZUJZq\nMddZ8HU4ZdJQRKQNCWbWK/aW+sjtCxDs9kiAPVGgZJ/9GIeDWWSV6dGJrTgiWP98hOBUZKAIX5Ch\n9xJcVRjLtYR7PRSMBMkToQutZmLhQ5SteIvyRc9SdHQVebnHCTRb8DSZcVco8caVeCrVGMpU5JRp\nya60oGqwY+x0Jiwz4hxlBtRRJe4aI3ntdqJ9DgqH3eSNeikYFgDopKDXQ26Pl3CvG19bAlzDDTqq\nh53UjnmpGfVRN+6hesRBrMNEoN6ArcqAskjDsUgOJwo1WKrNRHrdFI+JtrMIkfAmrkMyVy+Fo34J\n3u5aHZ4qFdEeM2XDdsqHnVSOiOf2UTPupka0iSVzdVPUZya3VUOwJoeiRg11XTYaOvNo7qqie6Cd\n0YnRH/6aXqgL9SfXGSFeqm1mX4aF5z9OZfr9S7jk7q9IemAj0+5dxYy7viL59lUobhMips0k3b4d\nxV07mH53KjPuEsz1a5Ju/YwrrlvCpdd8wcVzVnLJjau44uaVXHHDCi6fK1jraq4QQRPz1sgUJ9E+\nvnTue1wxLzHPnf7Al9y8/BALMq08aA7ziCvKQneURxwxHrRGud8e4wFTmIeP61h4SMnCTCuPG/08\n7ctjoSskwdXU0Mb4hIjH/eEV/vl1AVz/AjV5cpJYVRmqAje7y5xsrRDxh072TFlxBMAmwhuEUjjA\njko326JGyVyPlBhQN7rkurVvI/REFGCnsKV4SI8b2RXWsN6Rw1rrcbb6T3CkSvhbI98KmSSDbRZx\niFNWnNogaXE3GcVWcqJGjFUWnJ0uXP0BnP1BHJ1uPF2ifRvC3elFXWnikAxIOM4uTwaH87XfinOk\nFUdk8HYk1MKqeiE6ishWdnqxhuwiDfZaB/4Ol2SsoUE/of4goS43oU6X/Do8ECTc5cZeqUUZSiPD\nf5SM3Ay0cRMmca3fY7AyYrFeRCy6UNbYJXM1VQgPaoDCkSChQSe5XTZisUzKvnmfinefoXjv50Tc\n+3BV63A3WQg1GIm2mYh2GHHXadCW5pBRmENWuQ5DmwNTmxtjvRPVVDShu1JHXotZgmv+YOI68qZm\nrrndTkIdTnkt/mYrjgoVuc26b+ehgl3WjDmpFy3bERelvQ7ym83oY1kccO4nPZwhmWu400bRoJuY\nmLGKfa7iuc/HHw75CPbZcdVocFcpye/RUzJqkW3gipGpc4w6qR93UjXsoqzPTqzTRG6zllC9kspe\nIx0TTuKdRqL1ZuItebT3NXHqzIVUpwv1b6+TJ0/R2NBCpsrFwlc3oLj3Uy5esJRLH1yLYmEqintW\norhtGYrbRFDEFslYBbAqFojbrXLmmnz71yTdIoB1CRdf9XkioH9eoh18xdyVMhrx0rnruWTuBpLm\nCnAV9py3uWzO2yjmLubKGz9k+m+Wc9u2bO63hFjgLJRMVTBWAawLjFEeMuXzqM7LwsMn+M3REzxp\n9fJ0oICnQlEecUd43hVGX9vA8OjIT2LZvACuf4FKgGs5yoiDnbk6tkbN7KkIsF+IlxqnlpOfjwIU\nG2nqAuwutrInmENGuWUqtD4xB9S3CvaaYHPCO6lt8pBWYWFProotlsNsE8yv1E6mEC+J+Wrr1Ky1\nxS8PIWo6LsC10k1asZmMQo1krv6+AB6xJLw7hLc3gL9XsFcvvm6vBFhtlYFj+RkcCqRxJHyCjLgZ\nZaNbzkC1HUEJriL2UCfYa0dEBkucEKH0ZQYJrsF2L/mDfnJlW9hDXp+P/D4h3PEQFoxWAHuDBX3x\nCWzl2TirVGhL1OSUidVtHnTnAVYkQrX45fdEqL54frGxpqDXJZOM8sf8FPS7iZUpKd+6hIrFL1G0\n+WMium04q7W42iyEWk2U9guw81LcYyfUbMRRqUVfpkFVrkVb78AkEqbiZjRFKgJNJqK9dqkOLhxw\nky/moFLV66Sgz0tej59wl4dAkwVfhYr8Jh2VAlwnBXP1UzXupmpCeFJdEmjLhuz4G7VoCtI4EUpH\nnZ+Np9FAfr+dvEEPeUIdPDV7lerhITe5fQ5sNRoc1SpKB81UTzokuFaOe+Q5qofdVEm27KNq2ENR\nl5nCNj1FrTrqBix0TjppHndSO+SiptdLXVcuzR1xBof7fvjreqEu1L9Yk6cmqKyrZcfhbJ5dtIZr\nHvqYy+79jMt/s44rHtuCYuEWZtyzkpm3fUXybRtJvj3RCp5x7zYUCzahuDfBYBV3rEVx25dccfMy\nrpi3lCvmLOOKG5ZzxS1rufyGtVw2dy2X37SVK27egmLeShRzPuPKue9x+TVvcdnV75B0+1JSXtrK\n/H16HnDk85CrlIecZdxvLeJ+UyEPGvN43ODhWZ2ZZ3NUPKPW8bTDz1P+KE+FynjEHeV5dyGGxjZG\nxArHn4C6XgDXv0BJcK0pQ51rZ39Ezc58A/tK/eyrCrKvVlhdEqB6fuYqdqqKIPj9YRUnplajnZ+5\nCgYrAEawOAmwIhmpyU1auSGRDmQ7wrGokSzhcxXB9lM+V9EezmkXQBsmrS7A8QoXx4qNUtBkakjM\nXH09YdydIQJ9Ifx9fslmxRw2NBjC3mpHVaHkREE6GbnppBWryaoWYisBrufjDxM2mfMz1+xKM9q4\nEUe9g3C7j8L+oGRjoQGXnLkW9AekKjY06CU4EMLRbMMcV5LbopfMyxbXoCrWoKwyy8XpBrFRRnhE\nO0S0ogh4ELGDRuw1IprQQdGYL2HFESlK1TpK966g/NM3KF7zPrmZ63FVaHC3CdWykfIhNw0TIdlG\nFfPRaJsFb5UOXZESbZUZfYsPZZnYWKMk2G6haEi0gb8XHiFvE9YcsR4u0u0h2GQhIMFVS8W4g9qT\nfurGg3IeGp9wUCtCHyZdVJ9yEeu1yBavsSATXV467hoVoQ4DgR4L4T63fK+EmEmcMzboJL/XhrVa\n2HvUVA7ZqT+ZEDBVSStOkMohDxUDLmrHArJNHOs0E23VU95uoKHfQseki04CtBOkecxFTbeNsnon\nzZ3lnDw1xpkzp/9qtkddqL/OOnVSiJfqOKo28thbXzPt7tdJuvc9rnzoKxRPpaJ4YhuKR9Yx8+41\nzBYBEfO3knxnKrPv3cbMBZtRLNhI0n27SFqwH8WdwpojBE9LSb7lM5JvWIriJjGj3cClN23i4nmb\nuOKW7STfthnFjV+gmCfiDz/isqvf5eKr3iFpwVdc8+4+7jhi40FXlEecZTxkK2WBoZAH9REeM/p5\nwWznNYuJV01GXjTbJLg+6S3kqVA5j7iLeN4dQ9fYzuCpk5z9CX7vL4DrX6AmTk0QrYtiLLGgiVs5\nWmwkNaxje76FHaVedlQE2VktGKw4guwU6uESK/sL9KRXWORycEO7sKX4UTe5E7aU9hD6zgDqDjfK\nFhfZNTapgM0IZZKVryQtpuNQqYUjVWLOGiG9MUJmU0gCbFaTn0MlFg5H9WSV6jHWW3B3uQn0BSWw\nero8uLrcOPv8uPr88jFrgxVDhR5TPAdT/ATa8mxySjRkCHFTrRdVl2Crfrn1RdUeJLvFR3qpDk25\nFn+Lg0iHi3Cnm3Cfn9BAQIJRpMtDuD+Avz8gz2GvN+KIKyloFWpYh2SVwUYjhuIslEVKVFVWVC0u\n1F0eVK2eRFu4SDPVFvZJUA0Puckf8xFtMxM78g3FS9+ifNUiCo+uxlVwAm+DkYIOo2ydVg67qRQq\n21EnZf1iJmoh3KTHWq4mOy+btFAGWQVZuJuEx1WAaUAKmBKCo0RbODYghE5umWss2sKuciW5TVpq\nxkU72C3nnzVjLgmslUMOqkac1E+6KO0zE6xTEalTU1CvIVyVha8iA1eVEk+DiUiXW374ENYf4a8N\ntRtwVKnwVKsp7bVRNeaiYtJJfExYcdwSWCv6xTnclPU5yW02E6nTEatXUdtjpGPSScspN00n3bRN\nuGgZtlHTY6Km3UZDa5DmljK6Ots5dfKnsSVcqL/tOnPyNE0Nrew8ouE3b67i2oc/4cp7PiTpwWUk\nLVyN4jebUTy2DsXCVSTfvYHk27ahuHsLins2MO2O1Uy7awOKBbu4/L4DXHLvfq64cx2KW5eiuPFD\nmdKUfOsqrrx5HZfesIGLbt7Kxbdu54obN6K4YSXJt37Clbd8yKVzP+Wiaz7m4us/4coHV3LN+3u5\nN8PFQm8x99sKuM8Q4QGVj8dUNp43mHnL5+O9cJjXrC5eMDp42hHgSV8+T4WLWOgp4Dl3PllVdbQP\nDnDqJ7DjXADXv0AJcC1simKpsmMXWbw1Ng4VqtmVqyM1z0pqzMPOisTMdV9dgJ1xF7uKxV5Wk1QL\nJ8BVsMKQnLd+B65+VB1i5ulCVeOQe0cNZWrMFWrUJRqp9D1UYuVotYdjtSJTOEx2W2QKXK0cLTJK\nH6el0TYFrn55iHmrq9uLsy+Eqy+YANd6G6YKI+56PYFmLd56Dda4BmWRnhMVVk40esgWMYjCitMR\nkuB6XEQTlmnxtTuIdLkkYIT7hKApIWIKiaM/QECCqwdHvRFXhZJou4WaUS+1417K+qwEarJl8pGm\nTEtOrYmcFjvZjQ75gUJEH1orDeT3BikcChLpd5M/7iPabSWWvYnir98j/uWbxPZ8iSucia/OIGet\nwiIjwDVhYXFRNeqRFpayfiuhBg2mwkyy/EfJDB7HUW0gr0sAaoCYiD8ULFb4WwW4DrkoHHST2+XE\n32jBGVeT16KnftxB3bfg6kyAq2jdjrgley3tMxFuUFLcpqOmx0hZq4r8uix8lSdwV6vxiQUEnQJg\ng+T3eQh3WHBVqfFVayjrdcrXWzHmJD7ikueoGHJRMZQ4h5jrhhuMhOs0RJtU1PZNgeuEk8YJB62T\nTtomHDSPWqntNVDerKW0yka8Mo+u7mbGJkY4eXKCM4LJnv3xP9FfqL+tOn36FNV1TWSoHTz3/kam\n3fMBV9z7OVc+uJqkhWtIfvQbpi1cS/Ij36B4+BuS79lC8h3bUdy9AcXda1DcsQbFnaItfIgr7j/C\n5ffv4cq7lqO4dbEEV8WNn3PlrRu5/OYtXHrDJi65ZRuXzt8mN+ZMu+Fzkm/5iCtv+YRLb/ySi64X\n6U3LmPbYWuYsPciCEx4eccd4wBjiYY2b36odvGCw8obDxnt5ubwfi/GmO8CLFg9P2/w86Y7wZKCA\nRx1+XrB6yCqP09rfJ7MIfuy6AK5/gZo4PUlhWynWOi+OtiDODh+2VofcRbo7oGJProV9Jd7EphgR\niVjpZq8EVyNZNYnQAWHHkVaUqZZwwpYy1SKt86KKOzBVm/A0Gcnrscn1ZPpyI2kxDftiGg5XuUhv\nzJUMVraF4y6yyizyZ1zNzm+tOO5OlwRYf18IZ2cIT0840bJtckpwDTRYiXUmggpinVaCdUYMZVqO\nx9Rk1DpQdoZR9eSS3eKXM93sMiP2NgfhXjE/FGreRFtYAGziSLSFxfndTVYJriLGr2EyRNWkh8px\nBzVjdmIdRuzlSrRlGrIrTaRXmsmsMmGsEelJVgr6BMuLUDgQkhtkBLiWmndSseFTKj98mdiGT3AL\ncBVipg6jBKT6iSCVIptXWFgmgtRO+BNBDCMOGcJgKUgn23kAZ6mKvDYb0X4XMWHBEVYcYck5v7Fm\nNECkzUaw1kCgVoC3WYJr46RQCotziLawi9qJAHUTASon3UR7TYQaVJS0aWgYNNJ20kbjpIWiLhWB\numycFUo8dUYp9CocDFIo7FE1Onw1GqqGxfMGqBh0Uj3sla9dnEN8UBBWnMohL5FGLblNKsr6DDSM\nWKWgqXNCgGoCYBsn3LSPB2id8FE36qCoQUMkmk1BqZWK2nza2usYGuibyue+ALD/Uev0mVO0dLRy\nQGnk4XdXcvXCj0m6dylJv9lK0hN7SHp0E9MXrmH2wpXMeGg9ivu2M3PBVmbfKxjrShR3fIPinp0o\nFhxGsSCNGQ8dYfYjqUy75xMUt71N8vylXHnLN1wybxuX3biDpNtSSZq/jaT5G5g5/2tm3/IZ0+Z9\niuLGL6XyWIRKiNzhq57fzPy1Wdyd7eEBSy6/UXl4VuPgNaudd/1+PigoYFEsxtuFUd6ORHjN6+cZ\ni5snrAmAfUxn5hW1BnV5OV2jo5y+IGj62ywBrnnNxRhrPTi6BBsM4Ox2oa8zk1ms42iBngOFZvaI\neMFKN3vK7ewrMnMoaiSn1v3tajTBXIWASATWn5+5mjrCaGp9cjWasdIgwVWGGvR7cDdb0VXqyChR\ncaTYyOFyJ8dqfRyv83Gk3EFmmQVjpRFXi0POWN09XpzdHry9Pvy9AbzdIXy9Ify9fmyNVkwVOvyN\nZmLdgjH5iIswhQ4r7jrR/lWRU2kku04waT/ZdV7SCo3klBpxdToI93ko6PWT258QNAUFg5Us1kNw\nwEegL4Cr0SLBtajDRu24X4JQ5aRoo7qpHLRR0KrHU6uX7WkhxEorUGEo0+BrtMoZZWwonBAbjQaJ\n9jgpce+nfMcyCa6Fq97H5jyAt1ojk5NE8ELNmJ/qCTfVQmg06qN6zEd80kXVpJuqIReB8hzMoaN4\nyrIJNegItRiJdNvIH/ZQOOwlJkL7R/3y66BYZF6jJ1BrpKjTRv24l/oJ//cETULMJCwzPqpPuinq\nMRCqOSHBtXHUSttZF63nBMM1UdKjkcDrr9USqDcRaHbgb3birNTK78UHPfL9qRBWHHEdQtAkrmNS\nALhftogjjWpym5SU9xppHHHQOeGlfcJNy4SDJnm4aZ3w03LKT8MpF8WtSsIlR4hWqShvdFDZ6Ke+\npYTOnjaGhodlu/gCi/2PVScnT1JR18QhvY0Xv9jMjIcXcfl9S7jy4fUkPb4DxW93onh0I9MWrmPm\nwnVMf3Ajins3M+OexNx12p1rSbprK5cv2M8V9x2RADvjgR3MemgN0+7+lKTbPuSKW77i8pvXc9mN\nqVx2UypX3LJZbsyZMX8FM2//mhlCGHXTFyTdtIIrb1nHZTJzeCnXvryZOzZkcF+6hUf1bp7TOnjd\n4uI9Aay5Ed4vLOQdwVqjUd6IRHjF7eE5vZlndBaeN7t43mjifZsJfVWcDvH7febHN7teANe/QI2f\nmiBUX4Cuyo6jN4itPxGvZ+t0SlanqtBxpEDJrkI926ImtkeN7C00cDxqRF0rgiPCEmANbVNWnMZE\nm1h8TwYq1PlQltvRlontLVrye3wyBF6wQl+nFXudgYwCNfvCao5W2ThW62R/kZnjJQYMdUbsLQkr\njlOA/vesOMF+IW4K4OxwYq4zYKpQ4m7QktdtoWzMT/l4UO4fze+1Emw3Yq5Ukx0VvlEb2aV2jofU\nqEq0BPocRPpdCctKr5i5hr614oT7g3LmKsIrxOsU4FrYaiI+5CI+noj0SzC0hJ2lrNeGv8aAMnSC\n48401JEsnJVCLRygYDhhYckbEeDqJxo6QtHBr4h/+ioFX72DSbUZb2mWtK7EhxLbZGrHnHK7jPi6\nfMgpRUJijil+pqBBT7A8h1BNDv5apXxt7ho1oQ4j+X3CNhOiaMhHQZ8Dj9xYY8Bfa6Co0yGDHQRg\ni+f5/jkqh12JmWunjlBFGiXtWhomE99rPOmk/ZyT5tM24oNGoi1aGQJhL1JijCmxlojXoZHRipXC\n5iOtOM7vrDhC4DTikoEV4UY1eQ0qKWhqHHTTMRGiadJLw4RDsldxNEwk5r/1k07KOtVE69NoGDDS\nOuqgtEVNtMZIeV0+TW0NDA4MSkHLhfqPUSIruKahlQNqBw9+tJ7Zj3+EYsFikhauR/HUfhSPbUXx\nyHoU4v7CzQkLzkMbUSwQbHW53NOafM9OrlxwgIsXHODSBftQLNhB8n2rUSxYSvKdX5J060oumbeC\nS29YS9L8VC6/eTMXz11F8k2ff2/nq7DtiJzhRLDEpXO/kCKo617dwJ3rDrPwqJrndBZet9lZ5Pez\nuLCQ9/LzeSsU4q2CAt4sLOQVv58XLVZeVKl5WaniDYOBdzwOvoiFMdRV09Tby+SpC23hv8maODVJ\nbnMBxlorji4P9j4f1l4fzh4P7i4nllY76jqrDOffm69je0DD7pCatKgWdZ0LU1cEU5cQNHmkfzSx\nwmxKLdwRRlnnJqvCLLN6XfVi/uiXLK5AWDr6XYQ7rNhrjTIUIb1Mz6FivczzPV6kwyDmnB0OGRrh\n7gnh7BGtYH/ChiMjEX3ysNaaMJXkEGzSU9wvAgw8VIz6JciWjropGrIS7jDhqDWgKTWQma/lWDAL\ndbGKYLcjwVh7fIT6BVv1ktfrk0d4wIe/zyPB3VZrkO3QWIdVsrzKCQGwLqpHfYkZ7KiIFHRT2u3C\nW6bBEEpHF0nDXKLE12In0puw+0RHc4mJGWxxDrGsDVQsfoXYx6/jytxIqCgBrtWCtY74pPdUxBTW\njHipGvP+AbhGKtWUdZsp77eSL8CuTkWgRo2/wUSwwy1FVIUj3sSu1ToDkSYDxT02qiYES506h7gG\n4XMdFdYccbgo7tATqs6iuEtPw0kXzaddtJ5x0nnGRccZN82n3NQP24m3GwhXqrFGT2DMPYazNFMm\nNFWNe6SgSbSD5TmG3VSPJKw45X1OwrVq8hs0VPVbaRh10zzho/m0n5bTPqkcFkfrGR8NJ8W/s0pw\nLWs7QduYmd6zDppHDNT0GIi3OahpjdDaVcX4xMgPf7Uv1N9hjY2NUVJZz45MK899tYeU57/m8kc/\n58pHVpH0m20oHt+L4vGtKB7fguLxPUx7bA8zHt3OtAcFcH6emLPelYri3sMo7juGQgLrNhT3rmXa\nA6uZ8aBgrmtJum0dl9+8jituWo/ipg0oRGDETcuZfssKZsxfw8y7NjP9zi1cccsaLrlpNRfdvI5L\n5n6J4qZPuPnNDTyy6zjPqY285vawKBjk/fw82QpeFI2yKD+ftwW4RiK8abXxpkbDm6ps3jfr+Szo\n5eP8AF8W56JvrKZpoJfJCzPXv82aOD1BQVsBljoLjjY7TtF+HRBA5sXZ4cLdH8DRF8RQbyM9qmOn\nW8kebzZphTmoam1TQJqw4ohtLQJQvwPXICdqHaSXGzBW6/F9GzAfkQEEiS0uLgpFYH67A02FliN5\nOewLZnOsQCWjCcWcVc5cu8O4pBUnLOeuAvA8woozEMJea8EUU5LfYpbCn/iAkwohpBkPEp/0y3Zq\n+bhQzjqwVuk5kX+C44HjqKLZ+FtshKcYa3DAK+03iZVqQSKDbnx9YmmAU4KrKy7i/Zw0nAzJtnB8\nwi1niqL1mQhk8FM/HqS4xYy/LBtrLB1TSabctxpocyQsLMMRon0BCmtMFOl3UfHeS5S8+xLhYxsp\nKEyAa+1kULJLMXsVOcB1Y0FqJwNyNiqEQsKek1enJbdKTeOYlw6C1IxZKW7XEhHpTnE1znqjzDKW\n0YQtVjz1egraDJT0m6mYcFAzmYgmPD9zFfNWcR6h7i1sN8qAh5JuI40nXbSdc9FxzknHpIOOkx46\nCNFFQPpTK9qNBMqyMYcPYi88QlGHWQqZyscdVE+dQ3hbK8R1TASpGvDKDwWFDVrqxh00nEyw2taz\nfjrOBemYdNN50k0nIRpPCQuPkdJONZWdKjomLAzhkkfPGTuNw0Zqu83UdwQYHG1N/EKfE2sUL7SI\n/x5rYvIkJWIfa46Nhz/azoxnVqB4aiVXPrkBxVM7UDy2I8FSn0gl6ek9JD19nOlPHCRl4QZmyvjD\nZSQt2CJbwEkL0pi24AgpC3Yyc4FQC69ixkMbSXlkB9Pv2YLiNhHkvwHFLWtRzF3JjBuXkzJ/FdPn\nb0Jx+05m3buTWXdv5bIbV3PRDau5eP4GLpn7BcnzFnPX+xt5Pj2b191uCaSLo1Hei8V4Kxrl3WhU\nMth38/J42+fjA52OD5UnWKzPZonfxsqKQpaW5EnmqmuuonGkl8kzP35X5gK4/gVq+PQQ4aYQhio9\njlY7ri4Xzi7B1nw4OwK4uhIs1tHtQ1tv53CeigOBDI6G08kq1qCpc2Bs92HsDMjMXZFSJKMAuxJW\nnOwqK9nFRkyVU9tbRFqRyLuV4e8+aeeICRDocxDqsmGq1nLAe5QD3mMoi9VYG62SnUp/a68AWS9u\nEUnY65NWHE+3B2utEVOZknCrmVKhTB11Uj7qpHjITemomFUGKB0TIh+HnEuKpd45vsNk+4/IlWrO\nFhueHh+BwQDhwYCMDMzt9hAe8OPp8WButkhwDdTqKe60UzWSACQZlDDsJi6UvaNOKsfEPNRDtNVC\nqFZHsE5NsE5DqFaPt0YEVhjxdYuoRS+FjVaKLPup+OgVit95nvCeFRTkHZPgWTnhS3hDRcKReN4h\nN9WjbmoFcx22yxCG/HoN0ToVTcN2us96aT3roH7UTEW7lrx6lfSmCkD1NBhx1ejw1mkluJb3W6gR\n4CrVwmK265LRhEIpLO4LMBet72ClkopOI22TLppPOWk+6aBdtmxdNJ300nbOS+c5F7UDBmIN2YQr\nMgiUpROuOkF+k5pYr1mqhAVzFe9LxZhQPXsp63YQjqsprFNTN2SmedxG64RT2nCaT3mkclgwV/F1\n7biDikEjpV1q4p1KOibNDOKi94yL7tNOuk/baJ8w0zJkoW0gRGdfOZ1djQz09/0kkXEX6t+vRoZH\nKCiJs+aIjoc/28XMF9ZxyeOrSXpyLYrfbkDx2GaSH99C0m9Tueypg1z69BGSnj5A8mNbmHb/l0xb\nsFx6WS9bsJtLFxziygUHSV6wk+n3fsO0+zageGgPyQ/tYdr9O0gWSU23rifppi+ZduMSZt28hJm3\nLmf6/I0k37kXxd1HmHbXTqbdsYErb13DpTcv56Ibl3HJ3MXMuOMD7lu2hZc1GhaFgnwgADU3l7dF\nOzhWxFt5+bzt8/Oex8lHTgvLTDo+N2v4zK1lScTOF8URlpaEWVkeRtdUTk1/OxNiqcWPXBfA9Scu\n8fen7+QAgYYA+kq9DGOQ693EjLNDgKvYROPB3e3GMxTG0uXjRJmWjLwsTuRmkB3NkXYZXaNHJjWJ\neavYCiPAVdcVkFacnLgZdVSPpdKAv1UoZ0WY/O+vLYsNCAGOi7JRD6F2E+mhIxz1HEZVmI1RgH6b\nXaYyBfuDct4qwb8/hLMvKF+ruVYvZ64iUKFkRDBWJ2VjIkTBScmwVzLYUhFeMOiiZMRDfocFU+Qo\n2sBhzOXZWOvFBwubBO5gX4BQV8KKI6IPBXibhMe1Vk+4wURxlz3BjsecCbvJoEsyte9ati4ZIRiu\nN8iwCdG2LWsxE6nVYanMwdFiINhtI6/RQsx5iIplr1Oy6Dki25ZREDwoX3t8wptY1XZ+ritAalgw\nPzHjtVHYbqCgUUVxs4qmIStdp910IVq2CQtLvFtPXpMaf7USV3kOtuITuCpyyG81UPGDdXDCiiNm\nrvKaxLUMuoi2mAjHlVR1GOkUQHfSTeOkawpcxTzUQcsZp2SzDcMGKjpUcg5a1KikoCaD/LoTRFt0\nFHeape+1bMRO+YRDzmJLu6yExfacOjX1A0bax2xSLdw84aJhwiWBtm3SKc9XM2qnot9IeaeGqk41\nnZMWBnDRddJJ90kng+dc9J+z0XXSSMugkbp2G5W1QRoaKhgZHeDsOdFOu4Cyf+s1Oj5GXlE5247p\nuP/j7Vz23GouenYTlzyzmaSn1pP8+HoUj25C8dttkrFe9tRReSQ9vZPkx9aS/MAXJC9YI+eqly/Y\nx2UL9qJYsJ1kwVjvX4PioVQUj2ageOgwyQu2J0Ikbl1F8g0fMf2GD5g9fykzb19L8u27UNxzFMWC\n4yju3EHybWtJnr+SK29exqVzF5N04yKuuf8jHl61g9fNBt7Pi/BBLMY7kVzeyo3wZkE+bwX9vOu0\n8anLzHKPiTVeC6v8Zj4PGlmS62BZNMTSkhCrK8JoGsqo7Glj/NQFcP2bK7GEpHtskEhzHpZas2Su\nQpHrFK3gbgGubvyC0QmQGQpj6/KhrzRhLtfirtRiqdChLTPIrTGqWntCKSyTmcJyYbi+Q+wFNaGO\nqnDWmYl0OSnsF4u3vd9buO2S4QexwSDFw17yuizYynMwRTOxFGdLRmqs0mAX4CcBNpCw4nSFcPaG\ncQ4EMYuZa5GSvE4BTEHiwy4qxEq1sQDlI34qRJDBqI+ysSDFInS+zYa/KgdfVTbhZh2+Oi32So2c\nybpb7QR7/UQGg4QHvfi67DgaTLhqDITqTZT3uRMWFsFYh6ZShyZ8iZVqkz55v7DRRLhaTUW/RQpz\nWkYc1A5YiHUJRbMGR6VaelrzA0coX/4uZR/8jsLNnxJz75V+0JrJILXjog3slj5X8bVQ2lYKsdGg\nVdp1ClpVFHWqaJp003UuSOcpFx2n3HSc9dMqwHDISmWXifxaNfrgEfThY+Q16ykfslEllLuT5xOa\n3HJ+LBS+taMB2RYuajNSWKukpstA50kXHWcDtJ8NyJZth2CwZ510iOOkk7p+CxUdeiq79QmwnLDQ\nNGCgrF5Ffq2ScKOG/B6DzBuuO+miatAmwTXWoKVt1E6XYKoT4vDTNhGgcVwwYzft54I0jrup6DJS\n2aanvtNA94RNMtd+nPSfcTJw0snAaQf95+z0n3LQNWQnXmekqMJMZb2frr4a8Vv+w1/7C/VXXt//\nODQw1I87L8xXu9JYsGgjKS+t4YqXNnLFu4e48o29KJ5ejeKJ9SQ/sRvFU4dJfvooM57az4yndqJ4\najvTntzC7Cc2M/2RzbIlPH3BDmYt2MHse9Yw8/61JD++l6THj6NYmMGMhYcTVpy7V6O4bQmzbn2f\nWbd+wrTb1jH9zj3Mvvco0+Wc9iAz70xl1q3fkHzDEpJv+JAZt3zC1fM/5eaHv+KJtft5227hnfxc\n3i0u5v1YEe/mRnjdY+d9t5Ev/UbW5TvZWuJne2mAjYUevvCYWBZysryskKWleXxZEkFZX0VVbw/j\np3783+EL4PpvKDFnEgHP/5Z508SpM7QP9RJqjmBpsOAQjFWImfoEuHpwSjGRl0B/EPdQGGunF32F\nEWelgbxmC8FGC/ZaM/pyA+pyI5p6Jzqx21SsSJNLvgMyA1cdU+NqMJHXI+aOCXBNzDUFuLopkFtW\nRAiCh7xuK+5qEQKvItioxVOrxlalwlqjx9ZklQlNPmnFCePqCWPvCWKsNmEqVpLbKTJtg1QItjrs\npUyCq5eKIQfxUS8VowGKe9wUtFqkHaSgVYQemIm2i/2iIgRfhatGj7tVXLeH0KALf7cVR52w2ejI\nbRLpTAJcA9+Bq7CajH8HrmL+WlBvIFKppLLfKoGuS8wtJx3UjFiIihjBWg3+ei3h4EGKVyyi9L3f\nEVv7PsW2nZL5Vk+GJKAK4BM2GbEeToCfAMWSfgv5rToKWtWUdAs1rzsBfBMu2kXCkQDasz66BOMc\ndVDWbsCaexRj6BDhWiXRLgNFgxbioy7qhPVGgOsU2AqRk1AqF7UbKahXUt1jkMy1/ayftjMCXMU5\nHLQJYBXMVSQ9iS04bXpqewy0jyZmon0n7TR06ihtVpHXJHy4Ggq79ZQNWCjuMklwLWrSSZYqPxRM\nOGmf8En7zXlwbTsXoEG0kztMxEUGcaeervPgeu47cO0/7aTvrJOhs276x+1UNiqJxjMpb9TR0hNi\ndKKJiZN9jE+OcObsj29puFA/TYm/Y739AzhyC/hyz1EWvLeaK3+7jCueX0/S67tRvHeY5Dd3o3j6\nG5Ke3MoVTx/myiePk/zEYWY9uZ1ZT20l+Zm9THtmL7Oe2sGMhzcy7e41zLxnPbMXbGL2A8Kisw3F\nE2kk/TYLxcLjTH94N7MeWM+Mu75mugDX+Z9Iy820O3Yw467DzLrnODMWHGbagt3MvH0DM2/6CsUN\nH5F840fMvO0L5ty1nDt/u45nNx3lHYeNt/IivFVYyPuRMIv9bha7TCzzGfkm38q2Mh+7qiLsrAyz\nMebhC/FYwMHysjyWRIN8metDVRmnuruXiQtq4X/fOnPmjDTViwzWP6XOcY6xiTGa+prxiLZuowmH\nsLaIQ7aFE0IelzhEKtJgCEuHB2WRGmu5jsJ2B7FeJ3k9drx1ZowlejJiajLL9BjqnZjbEyInddyC\nOmbAVa8nt9tCtN9PgZhtftsWFvNXISRyyn2huV1iQbcKd6OW0lG7ZGoiVchRpkYfU2GoNmBvd8jw\nCG9PCFOjC138fFvYTLFczh2UwCrawMXDUxaWqS0wwgoiPKlCsFPYpqV21EHNqI3SXj359Wp8ZUrM\nZUosdTqC/U68XVZM4vXUaiRjLOu1S1AVLWF5DDqlp/PbtnC/k7w6HZFKFfEuK80jCfAQQCIEPKIl\nWzVsI79dS8C3m4Ll7xB7+zmiX71OiXGrFP5UCE+rsOKIvN8pm4zYKFM/ITbXGAk1KIk2aYh3magd\nsdM01bIV5xCt1ZaJxDlbhC92yEpuTRa+4qMEyo4TrMqUPtVYl57KYUviNU26JMCKoAdxbdF2U2Jj\nTc9UW3gy0bL9ri3spEUwWjFz7hQzVxX1XTq6h8wMjDsYPCXAz0HbuIXqXj0lLWry6pR4q1W44yoC\n5UqKmkVSlJO2qedpmnpeacU53xYWTFS01lvFzFX1e21hcQycc9IrQH7CSd9JF/1jdmqaT1DZlEnX\nhIXuSSdNXTbq2vw0dZUzOjH0w/8GF+qvtPoGBlDb3Ly/8SA3vPkN059eguKpZSS9ugfFW8dQvLYN\nxe82onh6K5c/tZ+Ln0rj8scOkvxoqmwTJz+zDcWLmSieOy7jD2fcu4LZwkJz5xco7v+G5Mf3kfxk\nGorfpJP0aBqKhQdRLNhA8u3LmDX/S2bPX8G021Yz7Y7NzL53LzPvPohi/gFm3LOP2WLn681fyA04\nils+Iem2L0i69RuuW7CRe3+3nee2pfO23Zqw3AQDLLLo+MyqZY3fzvpCD+vLA2yNh0itCLKlxMM3\neXY+d5n4zG9laczNkqCFVS4z2qIY1W0dTJy80Bb+dy0BrhMTE5z6E1sI8pPhUC/x9go8LW7MYt+n\nSEHq9SdEQ1MA6xAzTrGovM+PtdWJpkSLvcpAtNtJ6YiX0lEv0Q4HgVoTxjI16mI1mnID2nobujYX\nSsFcixJiJqEKFku2BWMVgJovwdUvhU1C4CQ2xoTarVjiKryNOimCqRatQQFYTSbZijbH1ZhrdLha\nbTjbXFibXZiqDVgrlUQ6rVLAJGw4oh0s2sylU6Kg+KiI4fMQ7RGLuvVEmjQUdRqonxCKVTHfc1LR\nbSbaJJKGVDhq1bhajHIeayhV4anRUNRlkkrkqhGvFDSJQ4ibZFThiJOqMY8UNOXX6cmtFLm5VlrH\nBNgJMHJLq0nzGS8NwqYybKGk5CjF2z4i9sHzRD98gVjmGkq7zMTHfFPWGGHDEcDqoXrMQ41grj1m\ncus1xBp1VHaZaRh30XraK5mrYMfNpxIRgpINnnXTMGkn1ixmoZmUtykpa1ERbVATbVJT3KGlos9E\n1YhQ9nrlFpuyfjsxwVybtdT0mqUiuFUImk4lBE3tUmzkpU2Ij8QHig490XolDT1aesYs9J/0MHTW\nm2Cw5xx0TFhp6jdS2aojr1qFpyQLR+FxIjUqakcS70ureM7THnmcFzS1nPZKcC1t1VHRoaV+wED3\nKZsE157TTnpOORk446TvtJvuU156T3noFuDankNNxwkGz9oYPmenY9BAS6+J5h4v3YPlDI91MjEx\nwunTF1jsX2t19fRi9ufy3oYDzH/nG654djmXPruSpN+tQ/HSDhQv70Lx0mYUL2xB8fRukp46wJVP\nHSLp8Z0Jj+tzO0l6+RCKV3JIfu4o0x5dx6x7P+eqOz5j1n2rmPaoCJk4juK3WUxfeIwZCw8yfeFO\npt+3hul3LGPG/JXMnL+R6XduZ8ZdOxObc+7azfQ7dzPrrh2k3LWJmfO/YNqtnzL9ti+YNv8bpt2x\nnbm/SeWBd3fwu51pLDIZWeR2sNjr4HOPkW8CFrYWeNhWHmZLTT7bq3IluG4rD7CuwMkyh4YlLi1f\n5lpYGTaxOWQmuyhAQVMlI5NjP3yL/uy6AK7/hvrfAdfm7mby6vLwtHpwdDpwdDgksCa20AgrjlMG\n5Iu5pqvbg63JhqHCiKveLOP1hI+0YiJEfMQrGV2eCCuIa1FFlWSXG+Ru0+xSvVyNFmwTflNhvxEA\nK1aihSTQJra3+CnsD5Hb7cXfLDJwVQTrtNJyIlqi50MPSnpESIMGa1k2xvIcLPWGxAcAEfAQVxHt\nFQwsJFub0oozEZKzVhnMIAB3PEher00Gzee3GyjtNSfsIFOWEXFbN+aQreJwsx5LlQpdcQ6GqBJP\nlUYKlESkX/2ksLD8cSuOmGMWNBgluDYOWOk4KVifkyYBgIRoPi3O5aTtnI+2Di3VWcsp+fwloq8/\nQeHupRKoKkfEOcIy4UhaccaD1J4MSEtRcY+VaL2R4kYx5zTTcspHJ8LCImauDjpw0nE6Aa5d5wTw\n2ilu0VDWqqH3jJ2eSTv1goE3aiisV1LQopWpUGJWLK4j1mUm1qanosMoX78A105hw/mBFadTtqKd\nxNv1xBqUNAxo6T5lpf9cgEECDOBkAIe8HTrjonfUTn2bjoKKDEyh/XhLM6jrd9A4Jj4ACCtOgM4f\nWHFqhx3y/agSs99JF31nXQzK500A68CEk4FTXgYI0XvGR9uYncpuDTXdaoZO2ziFiwmcjJ6xMjBh\npKXXTEOHj66eGkZHBn+SPZkX6s+roZERNA4PH2zcz9zX13DlcytRvLQBxRu7ULy5D8Vz61A8vQrF\ni1tQ/E60hfcz48k9pDyVyownt6F4ZieK1zJQvKVC8UoW05/dS8qjq0m5fykpC5Zx1W92MPupDJJ/\nk0HyI8eYvfAgVy3cScrCjaQ8uJqUe1cy7Q6xjm4ns+/dz6x7dqOQQLuZlAWppNy5lZT560m5Z5X8\n2ZTb1zJ7/lZm372Pm5/dzcKlqby69ygfadV8atHxld/KlhI/O+NhUitCpFbnkVofJVWCa4idlRE2\nRV18bsnkC0sm64MGUmM2DlQ4OVpmxVoTon/8x++4/IcAVwGK4+PjsqX759S/FVzPnjtLdUsNzhIX\nhnIjhjozjnYvnp5AIrRBWHA6/DjEbbfYROOSthjBXJ21RkoFuI54KBEzTcEuR53EeuxEWix4JIvV\ncaJQRXpuFtmF2Xibxc5R0apN7AIVLeECyVx9FAz6ZJBDuNuNvymx1DvcoKVqWICrCCIQq8s8ksUV\ndZoJNehxVWkwl6vRi2UApQL81MS6HVSKluqoi/IRp1QGC5VwxYifslE/RUMecjushJoM5LcJcLXK\nuWPDpABwLw0nPfIPfe2oXQYz5LWbsZfnoPYdxBI9Tl6LNuFDnYo/TDBXrwRBmUY05qFs2Etuk57c\nWhU1vVPMdTzB0JpPexNMTbRwz/lo7jVSb95C5Zp3KH35N0Q3vk9B7BiFjXqK2mxyg4xgxcLOUjPu\nTTDXLjN5VVpKm3TU9plkDm+rCF/4PnM9OcVcJ+00jJgoblZT1qql66SD/jMuusZsNA8aqe7SEGtW\nyUCHaLOZaIuZvBYxz9VQ0qmlYcRC51mnDJBo+Za5CsuMl/bTXpkHHG9RE6vOpKFfT/cpB/2nvAye\nEYCXmIUKljl41sXAaSctA0bKm5SES9PIr0gn3qykvF1LaZeBumEbbQJUJ/10ngrQesZP5YBVfgCo\nbtfRNWqTrWbxvD1nppireO7TbgZO++gVbHrcQWW7hup2NcOnbJzEzSguxrAzesZCz4SBtmETnQN+\nOnoKae4opae/jdOnL4DsX0M1tLaRY/fyzvrdzH9nJcnPr+SyFzaheH0fitf3oHh1G4qXN6B4cQOK\n54WXVTDV7Ux7fCszntrGtGf3o/jdcZJeTCfpxeMkPX+I6U9tI2XhCq56aDkpD61j1m/2Ml0ImB49\niOKRvUx/ZDezFoqfWc9V931Dyp1rmXVXKjPu3sv0u3Yx447NMjRixu3rJZOdddcWUu5cT8pdq7jq\nrtVcdfd2Zt6xh+Tb93DzMzt46qvtLNp7gC81J1jtM7Mh5mVLRYjtlWFS4yF2CFCtyWdHdR7by0Ns\nKXCyzqtjhSGNdbYs9hSYOVrtJqPJx+EyK7oKP72jgz98q/7s+g8BrmJGOjg4yOjo6A8f+jfV+Znr\nvwVc440VmPNNqPKVaEp12Fp8ODv9U/NWwVxD8lbYcwS4mhssKGNKnNU6ygeclAoWOpiwvZSPOyka\ndlI0ICLu3Piq9ajDaaT5jpIRTpceT+EdFUEKBYN+QoPOb2euwvcZ6ncS6nbJ1Whie0tuk06yytqp\nRCJhGRGMr3oksbYsv8WCo0yFKpSGLj8dV1xsrDETH3LKaMLzVhzRGhYMVrSLRYhEuNlMqN5AQatB\nrnYTrFCAq4zbmzpk5N+E2BjjIbdejcazE1PufsL1Sgnucs76vZlrfGrmWjKaCKoIN2vJbVRR2WOj\necQthT8CUMVzixaxnDGe9VLfZ6bet4/aLR9T+fKjlK15h6LQPnJLMwlXqSjqsMhrFwxeLBsXM9eS\nDiOhCiWlrVoahkUIv53GSSEIOn8Ol5y1ypnriJWaXoO0yJS2aGR0YN9Zt2R/wsLSMWGkqlNDYZ1S\nhk8E4zkEanIIN2RT2K6kdsxEBy6aTv/xmau4LwAyFk+noc9E90k3/RNOOXOVICgZdIJx9p9z0DJm\nobZHT2WTmsr6E1Q2pFNSn0WsXkm8Q0PDgJm2UR9tk0EaJ91U9Jokc61u09A1ZKL/tF0qhTunZq5C\n2DQ4xWB7Jl0J5tqipaZZzfBJGxO45OsYOc9gsTKAkd5xA01dWqJxFZX1YUZGBxNbds5daBX/e9XQ\nyBgZFjevrE5l7uufc8Wzy0h6aT2K1/eieCsNxWu7E8D65jYUb+xA8WxqIoVpofC4bkIhgPZ3aShe\nVKJ45giKJ/fIYInpv90ometVCzcwW7R+F+5FIY+pwImFqUx/dGuCud67npT5m7jq7t1yzpp8xxbZ\n8k2RbeL1KOanMuOeraTct56UO1dJ1ppy7x5m3LWPpFtTmf/sNl5ds4Mlhw6w1pDFtkIXqdW5bIyH\n2SRYa0WIHeK2PCiBdnuJj80BPRutWWwwprHTqyStwklOS0DuoD5a5kBTGqTnArj+75VoTQlA/FOF\nSP9SnVcL/6mtrgRzrcBdbMFZrsNaoUVTqsdQk8jydYm9qZ0iZlBsofHL4AZrkwVdmRJnnY4iwVyl\nvcVPhfCWDicAtlywRmGv6bYTaDaiy0sjy3UQU5EaX4OdSKdHxgAWjAeIii0uA27JZPP7/XKPaqDV\njq/GQGGbcapl65Wt4fMB88KSUifui5Zhu8j7PYEu/yiavMME6tWU9dkk2MUFixwPUC7awqJFPOan\nZMRHoNWIt0FDrMtC5ZAQDHlonvRJG4gIjJcAK8B2MkDDpIeybiPB8nR55NbmkNugIq9VT3TATvmY\nWD0XpGbKiiOuvbTfSUSAa5Oa+lE37WcCUnDUPCF2lQZoHvfQJNqgBGkZdVKTf4iqPUupffNJ6je8\nR0PBfqobcyhr05FfryW3Tke0w0T5gF3GIRZ1mgjVKiXba5yw03LGQbsQ9QiAPemhTdhmTnkloAsL\nkGDPQnBU2qKjc9LHIH6puB0kYWHpOmmlZdhMY7eeotpsbAVHcBYfo7BJSfWQmZazCeWuuI5ENGFC\nLdx6xiVFSGVtWmK12dT3myW4inbt4LkEw+w756X3rGgRe+T8VYBrXa+emjYlzd062SpuHzBT16Gl\nsllFRbOaqk49DUMW2k+KgAqLfO11nQapBB48mwDtvnNi1ppQCw+KW6FenrTROGimpl1PY6eRkVN2\nJiVrdTKOU4LrBA7GsTF21kbvqJGaViVVzQZaukJ09pQw0N/IqVMTP/yvcqF+gvq+p6GprYsMs5/X\nNhzlhnfXMe3FL7jipdUkvXsAxVsHUbyyJ9ESXnRAfi/59V3MfHY9M3+7FsXjm0h6eh+K32WQ9Hw6\nyc8eYebzB5n13G5mPbVJ2nCuemIHMx/bxbSFO5i5cKs8kh/ZheLRvcz87V5mPy7awttIuX8bKXdv\nJ+XOnaTcuYNZd29k1l1rSZm/ltm3b2Xm3XuZ/cB2Uh5eT8p9m0i5exspd+5i1vwdpNyxiUfeSGXJ\n3kOs02Wxza9nR7FXMtRtdYVsry0gtTJCalmQ7UUetuZb2J6r51CBjsO5anZ5TnCwQE92sx9Vexhl\nU4j0cgemqhB9Y39hcBWANDIy8me3U/+jlgDXmrZyAhVm8hrMBOoNGIpV6Mq1WJst2NtsONodcuuM\nDG+QM1cLxnIV7nrdtzNXMccUQqGKAQfl3wYrOCkfdkvm6Cw7gdZ7EFs0G2+VUe4VFQw1fyRAdCTh\nc40KsO0PEOl0E2yxEhQBDB1iHuqSrDLhx0ykIgm7SMNEkKZTXioHrUQaVViLj6HPP4S/OpuiDiMl\nXVbK+l2Ui1moaAuLcASRMzzmx9+qx9ugkrNLkXdbJwIRJsVWliDNE54p9uqnfjJA40k3VQNmYo0q\nihqUlDRryG9QEm5QkdtuItYnxEYin9crs3RlMlSfnbwmjUwpapz00E5AKl8FqMpzjCcETW2EaB13\nU1l8jIpDX1L79lO0bFhEV8E+2rvVNIyYKWrWkVutluIiMe8VgQz5LXqCtTmUCZHOKQF8wof63TxU\n+EM7zoiMXidNw06qe2wUNaqpaNfRe8bP8NQ8VNpZzjmn4gQFUNmobVfjzD+Es+AIhTXZlHcaZJCD\nmBMLO05iHpoI8G85mwi1KOkQM1cVjYMWek4LEZNTssvEzNXL4LkgQ3jpO+ugadhETY+W+k4l3cNm\nThJi7KyX7mETDe0aKhtzKG85QVWXmqYhi5y1FtblUN9tYHAqNEK+9vM+18kpcD3npE0Ct4HaDj0t\nPSZGTjskuApgPQ+uia9dnMLNyGkbTd0qatuVNHbraO6009GZy+hoK2fOTHDq9ASnz/z4Ks0L9fvV\nMzhMliPMy2sPMO+9TVz+8mqufGkVite3oHj/KIq3hTBpJ4p3DqFYnIFi0RGmv7aT2U+vYuYTa+SM\nNen5oyhePEHSs0dJfnovM1/cT8qLe7jq2c2kPL2N2U/tY/rju0leuI2ZCzcye6FYRSdyhw8y66kD\npDy5l5Tf7CDlwW2kCGZ6x3ZSbt9Oyj2bSblnAym3izbwNq66fx8pj6QmWO4DWyS4zp6/jZRbN3Pd\nnRt49sNdrM3JYLtbTWrETGqJV85WBbBuEyBbFmB7zM2OfCs7c7XsL0hs61LFjRzOVXK0xEhOawBV\nawRlXYi0cjvG6gC9439hcO3o6MDn81FbW/vDhy7Un1Bnz52jurWYYFxPkUg26nGQ12LHUaVDVZSJ\nJq7C3GSRLWIBrCKlydZowRATlgodZaItLAFUMNXE9pOiQQfFomUqLC/9diJdZvwNanzxLCJV2USq\nldKK4ajW4W62SKYaGwqRP+QjLALdW62E6sRqNBWxDhP1IjxhzP9tkpBc6j0kAE0AVIiKfoe0peTW\nK4k1aog2JIILIlUqaYcR4pwykc8rrTl+oqL13Kwl3KikpMdA1bBIKxLs2EWjTAhKtG7rJsQ2FjeN\np0Rr0kikMoOyFjUtIzaqe0zEmrQyJCJYpSYiWHCvifhJF2UjDvm6CxrUxJrU1AzbJACK9qloBwtl\nr7DJiPvNZzxyzlhZnk7F0a+pePUx6pe/QYd3Fx1dGtpwStVvXW8C3HNF67ZJgzeejackg3inkc5T\nbppPuiQTPh9NKHyvglUKAVLdoI3ydiOlLSpqeoSgycEQ7m9btkKsJOaiok0sALZ9xExpXTYFZekU\nlKVRUH2CWLOG8n4TdSJJSSh5TyY25IhVcOK9KhGCpkaVBLdv05NOJZjr4BkXA5Nuhs656T1rp7Zf\nKzOCm3t19I1ZmMDNpJiLnrEzMG6iY0BLQ6eS8qYT5NdkEYpnyPe+uktNzymLZNvft+LItrBgs5MO\n2kXyVIeBmjY1zT0aCZ4CSMW1jUyBq7gV1ynOOXTSRnWzkvp2HUMnvfLoHXHT0+enqyuP5s5iugZa\nLsQo/sj1fR9+Q1sXqTlWnlp3kKs/3oji7VVc+cYqkt4Uc9btCVAVjPX9oyQtSkfxdhoz39nPrFe3\nMO3xlSge34Did0dRvHCYJKEafm4vihf3o3hpP9Nf2kfKS/uY9exOkn+zmekLNzBr4QamP7KFaY+m\nMuu3e5n15AGSn9rP9Kf3kvLUTlIeEEC6WqqBU+5JTYDsHeJrIYhaL3OHUx4VLFcA7zpmz1/N7NvW\nMfvWjVxzxxZeWHKAbdZstnuUbPJo2F7slWx1U6mf9VEX6yNWtgR07AmqSBe5AC12DO0OtA0W0mMq\njsd0pFe5yK4PoqwPc6DEwolyD12jA7/3Hv4Y9a+Ca2lpKZs2bcLlcv3woQv1J9S5c6epbokSjGsl\nsFaOeikf9JDbasJakY2+Igd9tU7OWW3NdukttTZaMJVq5NJtAWyCnRYNuSkZcEmBkxAMlUgWK8RN\nVoIdBoLNGjl/LGnTU9KqJ1yvxl2tkolI3gYLuZ0eOXuNDLgJNlsI1OokMxS2F8FShQJXZOtKcJUe\n0YSISITbl/U5yG3QUNSqp6rXTGW3gbI2Dfk1KiLVIsBAhBdYKB7xUTLmp2jQTahJR7g+sai7dsw6\nxVSF6lccCcAQ7eEmyWLdsv0q/sDH24UgyE3bmIu6PhulTXoKatVE6pTkt2op6rVQ1CNCIowUCmbc\npJYe1JZTHjmnFHNQAdbiVt4/46VuxE5pRSbFx1cSf/NJGr58jQ7LZrrblXTjoQcv7eNOantMcsaa\n15iDqyQNa95RiptUtAphkrTJJDbJyGXjJx1SgCTYbP2QhXinnnIxP+3T0ivCFvBMgasIt/B8q8AV\nDLZ70kZNi4Z4fQ6VzTlynlrRqqKsXU15l446IaAattEk8oWF93XMLtvXpY0qOsYF+AlbjIduITKS\n4Opg4KSDoXMuCa51vTqq2tW09hnoF+B6zsFJXAmGec4p56TdwwYau9SUNmYRLj+ON3aEoqYTNI8a\n6Tlppe+0g+5T4vW7ZDtYhEcMnPTQ2m+lpl1HXbuKtj4to6ftcuYqwHT0B+A6LlriwoPbrKGp28wk\nYU4RZPSUi/4hO509Dlp6fLQPFDM83sHE5BCTk6Oc/Qn2av5HrHNnz9Lc1skRs5fHV+5m9uJNXLxI\npC6tZdo760h+exuKN4Xqd1eiLfxBOsnvZTL9nePMfmcPKa9uZvpv15D8200oXjhE8vMHmf7MLqa/\nsIdpLx9g2quHmP7KQVJe2susp1OZtnAjMx/ZxFULtzLjka0SXGc+sZeZzxxk2rOHmfHMHlKe3EzK\nA+tIuX0dKfdsI2XBbq6+cw9X37ktoQp+cN0UsKaS8tAmrr5nLVff/g0pt21i9m3buP7enbyy/Bi7\nfRp2hjVsCmjZEnWytdjD5nwrWyJGUnP17C8QO6wN6Jts2Hvc2Ht86JsdpJeoORrTcbzcSWalh6xK\nF/vz1WQXWeke6fvhW/hn178Krh6Ph+eff55jx4798KEL9SfUOcapbimQzLW430v8ZFBG7VWMOKTQ\nx9eoR1+uRF+uw1hpxlRvxtxgwl5nlAH5AlwrRVt4IigBVmYDiy00YyJCzyXBVewW9TeqiDSoiA+I\nZCPBQs3kt2nk+jZbaQ6uSjW5nW6igyF8IkBfrKVrNVDSZ5a5ujVSyRv6ti1cK7a3TAalWrekz0a0\nwUhRm0HuGBW7RltP2anqnmKX9UoCTRrCnWaKR32Uj4fwNxjwVauID1klA0uAq1geHqJuwiPZa/tk\ngNbxoFyVVtxpkoKfyk79lDgnQN/ZIJ2C2Q5aJYMsrNcSiqvIa9TJ9m1ho1q2kJtFuxkhmHLRJHyh\n0ooj9pY6aRdfT3jJr8gkP2MNNR+9TMvyN+lQr6avKVPOKbvOCPWsW55PnFsEKfhKj2II7ScUT6O6\nV0vrGTtdiJ8TVhxnwoozFazQPGKltk9k/yqp6dXRe9bP0Lc2GR/9hOR5pF0GF51jFuKNiUAIwXIH\nTlvpGdFT26ampDaHaF2OjDpMqIYdNAyapFpY/BvxbxPAHWTgB1YcMePtO+OgSQi4OgwSXCVzPSdY\n5Pl5qJ+Jc0HGzwkma2Nw0kRlYyZOca3lGTLKsaXfRM+omYFzjkSLeNLJ0GkfA+dCNIoPErLFq5Vt\n5rEzibZw4rnPHwLEHYycttAzYpCvpa3fzvi5IGcJc+5ckJPngoydDTJBiMHJIE3dXhrbc+kSa+3G\nfnxLxH/EauvoYf2+TB5ZtplZH2/kig9SUXywl5mLdzL7/W1Me3sbSe/sRvHBMRSCsb6VxoxFGaR8\ncJyURXtJeW0rKc9sYOYTG2XE4fTnDpDy4nFSXjzE7JcPkPLmcVJeP0zKc+HNx+MAAP/0SURBVFtI\n+a1oA28j5ZHdpCwUbd2tzH50k4xLTH72MLNeSiflud2kPLqKlAc2kXLvPmnBuWrBfuYsOMj19+7g\nqntXMfvBjaQs3M/sB4UlZyXXL9jInHt2kDJ/L1fdsY8bF+7jzbUZ7A8Z2V9kkruvN+Sa2RgysjOg\n4lCuiqwSPfomJ3aRiS4T8Jy4u4IYm7wcLtZwoEhHWtxFWqmF44UqjgaOYCrQ0Dfc88O38M+ufxVc\nA4EAb7zxBpmZmT986G+qRJtEiJmE2vcvVufOMjExTLy5kGC1meJeYSsR22NcVI6LVB8XsU4rvgY9\n9mothgo1yhIlqjIV5mqt3MEaF0IhIRIa9VEslmCPuOTXwvIivKWxXgehFiMhkS3bqpNbVxpP+amb\nEDYXs7SrCJBzVWTjrREiIzu2WiMOkW7UbKS4x0LVuIMaYcEZFXNNIWgSgfNeqsfEhwGXZIr51TqK\nW3TUDJloPi1Ym4umEbts3xYLFtusItykJq/dSG6HGXe1El+NkqoBwcCmBEySpQr/qTuhhJ300jQu\nNtO4Ke4wU1gv2qp62UrtO+uj76yf/nMeyaCahmxUdhgpqlcTqsrGG88iWHGCaIOWhnGRkeuXbFWG\nSJzxyRD8Zulz9cs2cUFtNvnq9VQteZWmL16l4+gyeioP04uDnnMiMMEtvaOCETYNmYjWZuHKP0R+\nZRpVHTlUd6up6zdIZbCw4rSK+etplxQ01fUZqejQEO9Uy0XjfaL9eS5hkxk462HwjJ+BcwmW2Sc8\nscMW4g0qGrp0DJ2zMy4sLKetdPQbqWvTJYC0RU11u5bqTh3xTq1krRVNajonrAzjYfCsn4Gz5604\nDmmbEa1cAa4NwnLTqqdzwEz/pI0RKTBKAN8YXkbxM4mHSRwMnbHQ0KUivzSd0lo1DV0W6rv01Hdr\naO430D5spnfCyuA5oX720zhioqIjh0YRZjFsluAqwFSwViFqOj9zHTnnYOiUme4hPQ2tWtp6LBJc\nTxPhjGSwYclkxTx49KyfrhEnTZ0O6po8tHcUMzjYytjYICd/gtScv/c6c+Y0RdXVpGbreOSjNcx6\n9Qsue3stly3ejeKTI8xYvIsZi7aS/NYOFG/vRbHoMEmLjqN4N41pHxxn5uJDzH5vNymvbWHWk99I\nJbDi2b0k/+4wM18+Ssqrh7jqtf3MeuMgM1/Zy+xntpDy2FauWribqx7dR8rje5n16EZmLPyG6U+I\nlXX7SXn+CFc/vZtrF67j6ge2M3vBQWYvOMRVCw5w7YLdXHufYLQrmf3wBlIW7uHqh7dy7QPruO7e\nLVx71y5m37Gfq+/dz61P7OGdLenszzexL1/DNv8JtgeV7MnTcLxYizJuwljnwNrhwTHgx9XvxyU2\ne/UE0Te6OJiXw95QNkcLtWSXatHHVehiafjKjQyO9v7wrfyz618F15KSEjZu3IjT6fzhQ39TJdS9\n/xZ/6o9RpyZP0d/fR2lzjFCDjeJux7d2EmkvGXBSKWapwlbSLsIUssnMTSc9nI6uNJtAm+Vbe0tC\n2JRQCscGHRQJz+dEiFivm1C9kdwmg2zxVo/YJYOTPtKxxPYVwfJEzJ69NBHUoC/NwVKpwlerp6hT\nRPMltrdIK87o1PYWMdMVdptJoUg2SVtKSZNGsqj6scQ5RIpQ+5idxiETlZ06aecIVGXiqEjDVnYM\nf3UWld1WGkfOq4O/s+EkrDjfbYpJgKuS+j7DVDvV9e2sUsz8ZG6wOO+giUhVBobgfpwFaeTVaGRI\nvZiJno8//L4VR4BszYiNomYVMesWyr9+jfolL9KRupiOwj10nrHSJ4VHifOJtq9gpzUdOqIVaVQ2\nZlHXrqSkKp2i6kxqe3Q0jCTa3K3CJiPWtbXriDYoqezWSUVwn4gmFO1UAa5CCCRsM+I6EOvbXDQN\nWKgQ4NqulqELQlUrQGlYtEvHHXQPW2joUFMUT6egMkO+rwW1ObJF3T5hlex3cHIqUP9bK04CuPvO\n2Klp01DdpKZ3xJ6Yx36vZTssGW5CcDR6VqiYTTQPCnZppLPHRv+Ag4YePWVtOZTV51DTqqZt1EDf\nWZHa5KRxyECFYK7nwfWsg7FvrTjn28KuBOsVzHVQR0NDDm0dRgmuJ4lItvr9IwGyYbpHHMQblMRr\ntDQ0uOnsjDM83CfB4kL96dXY3sGnuw5ww1ufMe3lJVzx8lco3lqP4qP9KJYeR/F+Koo3N6J4S0Qc\nCqXwfhTvHkaxOI2kD4+QvHgfsxbtYvYrW0h+bCVJj29C8eIxFC8fk3PWma/vJ+WtfUx7dSfJv9vO\n7Ge2c9XjuyTjFMCaIoL8H/uG5EdXMesJIXbaRcrT+7nmt3uYuzCVax/YTcqC/aQsOEDKgr2k3LuF\nlPu/IeWRlaQ8uk62hK97dAdzH0nlmru2M3u+2Om6j2sf3MOdz27nvR3H2B81ss+fwQ7Tfg4F0skq\n16JrtWGVuQEhrB0+jGI/dK8I5wlh7fWirjNzyJfJfscxjgfTMFUqCXeKrp+GwmY3I5N/4ZlrfX09\nOTk5xGKxHz70bZ08eZrh4XEmJianPGx/PeqE84z1vA3nT7XQ/Bh1anKSgYEu4u155LWZKRkQoh/h\nBxUrzkQghJ/K4cTas5IhFxGR91umRJ2bjjY3HWeFmoIusc7NR5lo9YpowREHpSIoXoDhiJdYl5Nw\nvUmCa0yCq5uGkyKwQcw1PTIRSMxPy/pMFLab8NfqpW1HGzmGt0pk35qonnRRNxWG/y1zHfNSLXa0\njriIdpoI1igpblHTINrCk7aEmOekSwYcJADWSrzXRFGbjnBNNsbc/ZjzDlDSoqdhOOFpbTgpBFKi\n/ZxQCwtwrRlzUNpno6jdQEmLkvp+Q4K5nhF5tg56TjvoPS1atn56znlpO22nvEtNKH6cUEkaeeVZ\nFDVrpCCqbthCs4gpnPTTOimsPyJSULAtNyXNKoqcqVRt+pD6L16jef27dObuoVcEL0yJjwSQd4lw\niFEbtV1aqppOyLli36iJth4Dta1qSptPUNKmorLPQsPYVK6wCNVv1ckAfsFs+0TAw7fM1ZHwiJ5L\nAGE/btpGrBJcmzrFzNIqGaRgfxPn/Iyd8UsFbv+4mY5+PVXNORTEMwgVp5FbkUVtrwiRSNhlhqeE\nRH3nPPQIdnzGS++EnZqORMBDz6id4dMJpjqOZ4q5Or4F2lFhETplonnIQEOnif5BJ6dO+hkQYrAR\nG629JrkYoKZdRUOvnjahLG5TU9Zwgs4h8aFAvO6p5/o95upl+JyPvnErnQN6Wjo1dA+cZ65hzhCS\njFUA62lCkskKRts75qSmVUNjh5GeQTdDw/kMD5fTM1hN72Aro6NDnP4JwtX/XursaQgVlLL6YBZ3\nLdnEFW+s4HIhXHpnAzM/3MG0Tw5K5jp9USoz3txK8hsHSH7nODM/zGD6R8dJWnyIaR8eZuYHh0h5\ncxcpL21j5rPbmPFMKjOf283MF/YyU4iYXtnH9Nf2M+P1I8x85TCzn9lJyhO7SfntQVIEyD62kZmP\nf8OM365l9hPbuerpA6Q8n8ZVTx/mmoU7ue6BvVy34ABX3budlAUbuPaBzVz7sGgHr+HqxzZx3W/3\ncO3CXVxz/w6uu2c319y5l1m37+X6+3Zw//Ob+HTHAY4VqskqzCIjkkZOsQZdnQ1bjw9XfwhXV0Ru\n87J1+jG2etA1OtA3mGRH8LjvONnBDBxxLaFWMwV9NnK7hUMgwOipv7BauL29Xc5da2rEWqk/XmNj\nJ2lv76e5uZP2ji7JEP9aSoCrsBGJ9tK/ZZPNj1GTE2P09rVQ2Rkk2mWUGcHxyamZ60QidEFulhEM\ndiJI6WiAgGgRF2VhjqRjj54gWKsn2iPWuk1ZcQSjnNo/KoIcou1WgnWGKeZqpnrYJy00IuRAtF/r\nJ6bCG6bAtrTHhjlyHI3nAN54JgWdOspG7XKd2/etOHLmOhaULVvh/wzV51DSppEsVQCcjOkTCUXj\nCdYkWJywwtQPC/GNHkt4P3rfbjlHre6zyDSmugmRACVem5i9JsC1etQuAT7WpqW8QymzbYVaNhGI\nIJS2DjkP7T8XpI8AnbhoGBVt2BxK6jIoqkwnVpNNUbOa0h4dtUN22saEzzVxjraTQVqGfZSIjF//\nbuoOfEX9ineoF3NX/24G/3/k/Qd3VHe27o1+ljvuPe/ZzpRQKmGMwW23TUfj1GC7HXAGJ4IxOeec\ncxQSIJRzzgGBslDOUpUq5ypl6XfH/C+Vod37dPuc3Wfv7v2uHmtISFW1SrK6nnrmfMJUMe7ZfagA\nlWVC2HEGXZZkpah1jYqVpYiRmWIsvhxahu7Q0HeHVmMana4cugP5tNmyaBlOUyPtIX8Ojp9FEz6y\nzGg7V5PsXPsSGbSkqRHq+OyecpRyRqlQKlsRIImVxeRKU+ERVXU3qW68RashmQFvFlYJepgRD63s\nW0twU6n2ovZAnlL9is3GHsjFP1nKiAKy0r/Yi8qe1Dedh3k0gwFnmmKubn8RUMX0LLv0T5Vg8eTQ\nOZBMx0AKPcMZNHbEKUZv8aSr5/iXu9bgY5cxMl2BzZeL0SH71nT1vARcBUihkgnFWCuZppIZBbZV\n2ANF6nlYffI7ucfkdCX+QDlD1lIGzA+wO/oIBFxMT08wPT2lhE//2f+f/mc8xO43NjZJV5+ZLaej\n0X+2kSe/Ocz/WH2Wf1t7lmd+vIBu02WeWXeJJ78/z3Nfn2HOV+d48qtonvoujjkb4nn2xxieXH2J\nZ9bcQLcqBt0XF9B9fBrd8kvoPjyDbtkBdO8fV/9+evllnvzkKs+uuIvuizuEvH+WkKWn0C27gO4t\nsdAcQvfOQXTvHkW37By696PRLU9A9/5NdG+cIvx3Z9EvPk/oawcI+e1uIl8/TsQbcr8jhL59Ev2y\nS4TJiHnxKSIWnyfi1QvMWXiKeb85wtufH2DXpQukNCaS05FEVnsSmd3ZZA0Vky87Vkcl+aYKCoYr\nyTeUk9qVS+LDVDLaEslsjiPpXiy5TYnUmcRpoWlYHriyeeipwD/1j9/1/11wLSoqorOz8+ff+ukY\nCYzT328hPauSa7cyGTSYf/reP8Pf/v9O6MM/8nB5XHQNdtA4VE6dWTyhBSofuHW0nNaRMi10waWN\nY5u9JdS7CqkaSKG8K4HK7iQqupLU56VSndafQa0tnyYR/3gLaZaQ/JECHpglaD+J6kGpacun2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KNi17t6T1DoX1sTQY01QZuSZcmh0J+wvodRXQ69O+1unPocWRTp0kOQ0mM+TLwzJVqDJsB6dy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R8XJKEGoZCKWV5HT08ZHV1C35ILnuTv42+r3HaWhOI0WaFmq3K/a8tyG2njibj+9W2TmERp\nG8sMenZW3rvM026AJpLnCs3MXa+lpz9CZ2eEhflk9Xyj2pcLDVnpUc7jyQq1u9vcZlOoxlGZm48H\nVbB5T3cp4VAeWVk/cmD/+7z6+lPsemwnD7/0NM9/tptXDnzEG99/zrsnD7D78s/sLr7Eh7Y8PnUa\n+NRh5FOXia8TPvZW+/nIpeetohxezM/l2RITzzsCvBIu5/V4nJf8ZTxvL+UFs5WnCovYlZHH/QU2\ndjrj7HRV3PhoK+P+IisP5ul5LN/IrmwLOzKcbJeVGyWqCXYYV8W1KMiOTBN/ulDIzrR87r1kZIu0\nfXPLtEo1WbXmx9mcW44u3c/txwrZciiDTT8WknLaqVWsIqwZQXQZZb+Iq05Vrl5034s5SUTRgG6f\nkXWHLapK3XipjJSMOGvOh1krle9xF6nfWtB9aiT1SxFGbW6qreK4SN0npKZ8dN8VqcpXt6cQ3aeF\naqa68WsHt8gKzhcWbeb6pZVbPjWy4WuHIjTpBKP4qiaua17J4JbX0/j9l+l8mW6nvvsfgxX9dx1S\nSApTX0T2txz/sLjK8VvFtbVniIvGMM8cLmK9pB88dZnbHhVzU94vlasEqW9+LIPbXrjCbW9ksumt\nYlLeNrH+vWJS3spj84uZ3PbIRW77w1lu+/NJbn34NLonMtA9ncPm57J4bZ+JQksFfTdF1P1317Er\n11aYmR2hvddFQ0c2HQNFah2mua+AtiFZizEwvmBi7rpdwe8nr3noGdXT3l9Ae38xw9NCUxLXrrYa\nIzD8+etBpua8jE7YGRg20tqVT1VTlgpUTzTkqqBumWtOXxORleBwuZ/mAlZRbddKGZuwMTBqpX/C\njeSJahWnzOZCjM/51WqLwBv6Ri0qL7WprYjq+lyaWkvoH3KwsLy6m6rup1Wuy8gMVZvByuP0Ddno\nHXYwtSxzVW2WuSIrLxLAPSuzWT/DE6UMjHroGXJQ22qgrLqQ1i4bkzMaf/f6LzPQZIWpCefCtQgT\nsyJWDkaGShWAQJtRyh/YVeC9sHeXq1VI9/BIhPoWM/XNFrpkp7Q/oNqsI+NhRiaEDxtUu6PSwr12\nvYaFlWo1w+zr9avW5o3Zo5zJFm4zS3UmJq8eoesvr9L+1W6GQvnMjCZUhXdtpV0JxtRslWq7Tk3H\nlXNWMIOCGEzES2hqdqjnERGenEwwM1PB3Jys5NSyvKy1refnNfesrKbcgNj/rTEpeYoTVy4M5D3J\nypNWEUuLduVam8IWzi22MDPfwuxsI2OjCSUw8npkR1REVVZqxsfkIqiM0akwo1NRVfkOj5artZR6\nSZSpddI3WM74VJWCNvz1WaFWYsTt29Tmo7VDZuDyvqQSlZQaqcSbfqFGSbtdnLxSrUpijQistKcX\nVsRAJc7pJnVhIPNiQT6Oz8ToHSilrd1DR0cpY2Pye6liWv1+E8xMVzEzW8XETIKe3iAtzW4lrm3t\ndnr6vTS3WYmU52G2X+BK1k8c/uFLPvniXd748GVe/eQN3vrmU3Yf/Y5PLh5nX8EFvjNe4eui83xe\neIGPjdl87CjhM7+dr6Kl7K0Iszfu54ugjd2GHF4ryOF5vZkXXH5eCcd4ORLlpUCAl+0uXjbZeMVq\n5XmjmUdk1mrwKkF90FPFQ84Eu0x+dpY4edDg5BGDncf1VnYVO9leWMp2fZkmrFK9GsrZnuflvlwn\nf8p38ucsE3+8VMLdWS625JWxNT/G1nypWKUVrO21br0aUi3hbceFLZzDpjNOUi5HVsVU2sEirKut\n4awKdAKiOG5j0+Fibv+2kM3flqA7ZGHjSS/rL0ZYfzHO+ksJNlyOsTFNknGspH5jIfVLG6l7HKuz\nU7dWsX6tJ/VbA6k/2TTyk3yUme1XenSqonWqSvWvKtcvrWz8ykbqZyZueyuH217LIPXNTNa9k836\nj/LZdVjPN/l+GvtG/vZP7n/b8fdGndeuXfv3Va4SPSdK/mufbGh0Cnu0ibfPe1j/cR6bXstky7MZ\nbHpcknJk5lrAbY8K1D9TieuW1zO5VZIT3jShe8+kYohS3ipk8zOZbN2Vxq1/PkbqrhPc8VQmtz9f\nyPpnCrjr1Tze+KoQs6dW5cn+O46lpQVmZvsV8Wdo2qDA+VIxyspKQ0eewiD2jxcxPm/WHLkLHtoH\nCmlX35fcU4lj01JmJMdUm4MGFW4QiXVbdNM3LLPTfCKVmZRXZ9Peb2Fwyqntmy56WFmRtRPtvrJe\ns7TkY3DQRP+QlfG5APM3IQm1MG9xjMrHCJOLXpVeU9GYRzCeQWVtPt3dVubmNHFduS4B3VpItwir\nzGCl2lxaLqNryELXiCAShcKUbOdqEHpNJAUZWMHkUpSuIQ+VTUaFvGtoMjI05GFyPsL89ZgKFF8R\nMpKCJkiLOM7sUoSRGT/9Q1JVB9TOo1a9aHPT67/MUEV0tRmnPEfvkPyh16LMBNog6yEitH19LoaH\nvczOyB/2OCMz5fRJoHZ/gPk5ee3aCk2ymkzula5IDJnrPN2fvEn7h28yYr3CXE8UrktbVMPk3ajq\nRJTF/dpIf38ZFRVmmppk/hf+BQIvFKEk0EDCwCVndHy8TMEa5PuaGGlzy19gDb8AGzQDkph1ZKYo\nj6UJsbTOpGKUVrK8Fnld2u6oOG7HJxJK9JeW5CJC5rttit4kLVZxD4/NVTAwUUF3X5CWFrvab62u\nttHdHVUt4gFxDa9iFOWU9yKvX75fWWlWrlsxXUnbVxNv4QTX/iLGWlVeTm2tQ7WzFdRhNs644BDn\nq5mdqdYuLqYlYi9GR4+bmho9TU0WdVHQ26uZmvr65JR/S8mkDdDZ5SMaLaa0NJtEooiKyiIikWxs\ntvNkZv3AoZ+/4P0v3+alt1/kubdf4tU97/Lx2e84Ys7kR08hP/iKOR2zczbu5JAjj6/0mXxmzOMT\nh4FPg06+EmGtKefLkJuPrMW8VZjJK0V5vODw81IwpmasLwf8PG+384rJxBtmE2/K/NXh4gmTkwct\nfnY6pA2c4FF7GQ8U2ZS56VGHn8edAR4Xk5PBww5jiO3G6C+wiB1FIXZkmvlDjo2dxhB/KnSxPcPE\nndl+TVTVuVq1ZpexNT3APRle7kt3cPfpYu44UcKmSyFSMit/mbP+1SmV68Uwuh9LuPW7bLYczlcG\nKN0Jt/p+SkaCNRcSrDkfZ2NGAt15oTWZVKScVKx/PTuVarRAgSlS0oLozvrRHXOi+86stYlFXP92\n3rpqbEr50krqR8VseTOLO964TOruDNZ9IoAKF0+c8vKzKUrrwL83yztp4JVKVTxGkl8uGzK/Jmr1\n5uNXiaus5Uiu668tk2fmFqhuG+DzgjgbvzaxcXcWm1+5zB2PZ3L7wzncusoZ1j2WS+ozl9n08kVS\n3yok5V0T694qYt3bsv9kIPXVPG598hK3i7Def4zNj14m9al8Nj6rJ+W5Au56JZO/HDGidyQYGRUG\n8X/vMT01xfBwOyOTkjZjVfuoM8tuRmfd9E9Y6BoqorVHA+G3DetpHdbT1F1AW1+hipaT9q3m9pUq\nVFrDsiYjYikh3z4Wr/sZmLCrdnB7t4HOXqPiBLf1GenoMtHdZ6Z/zPbLHHaFCHPX/PRIUs2QidE5\nF/PXBEigtXdFUGXtRarPJE1pbjFMV79Zy3xtLVFghe4eGwODDkamPEzMB5Q56UZuaYy5a0G6hhx0\njbhXxVXENFl5JmH0mjt3aSXG1EyUrn4PtW1mOgc9DMt+54CPrj5JTPEwMO5V0Wxz4jKWAPPZoFrZ\nGZ4MMjUvIp9sCWoM3kXhAv8yS61jYTGmJduMBVherlFO0XmphuarmZtLMD0l3NoQw8Mhenp9NLfZ\nqanVK0OQrLrMz1eztFitxE57zNW56GKC5foSevfspv2tlxi++jNz9XZYuXk/M1ntag5gaduOTlTQ\nLiCDUU0wFxe01q3MJsXcoxl5pKUdobXVTnV1iRI2ERGpAqWCTYrUsmoTJ0+pCGtWW7vy7yFiKm3Y\nJJxeXtcNWP2cIP6GZVc5yc7VLgRkrru03KjQhUsrbSwsdTAyWqFm0CJiAmSYnZXXLXFv9er1yEWL\nzJPl9zk+FlUVcUO9lZYWp3IHyy6qXNQk2cDy+uQCQL4n6MKaGiPt7Q4VjTcxGVPiLlX+5FSUidk4\nYzNxlbPa1u6krtZAd5d2YTU2Jvxk7eJEsI29I6U0dtqJVhbhcl9Brz9DXtEJLmUe4eeTX/PdD5+w\n7/u/cODEl3yTdoCvTnzNF2e/YX/+Sb6zXuawL5dj5UbOVDk4WW7lR28Je0sy+awki09KjXxe7ubr\nWIDPgy7+4jLxidfKxx4LbxlzedVUwqv+KC+XlvGi08lLZjOvmky85nTwutfDm243LzmcPGR2cr+5\nlPstZezUe5WwPiQVq83Ho6VRHndHeLzEza5CD9uLgmwvKmN7YZjtOS7uy7bxpwIXfyoJ8HtjOfcV\neNmeaeSuDA9br5apalWEVSrWO6+Ucs85KzsuWtmRbufuc1buOGNn07kAKZei6NJvFtWEZmi6Ekd3\nppTbv8vjtgNX2fCDgY2nPaReirDhYoS1FyLccjnGLVfirLlYxvrTPiWeG74xsnafRbl9lUhK/NyB\nYlJ/trPxtI+1aUHWnxU28Wqo+ufSbrazcb9LcxKv3k+cxsot/KWZ1L/ksun102x6+xypX5dwyz4b\na/a5eDHNR4YrQc/wPxYQ8686RkZGsFgsnD59mm+//Zbdu3fz+eefK5DSbzl+lbh2dHSohJx/lC2c\nPOSKYGBshu+t9dz+nZ0NXxSi232VO55PVwK76TFJxxEsYh6pT10i9YVzpL6dz8b3DKx9s1CJq+59\nEzr5KIanx8+y5YHj3PrIeVKfvIruOT3rnyti7bNZbH8jg/e/K8Ifa2b52q8zXv3aY2JimL6BOkam\n/Uxdc6h9VhFKqSRnlr0MT1no7C+hsauA+r58arrzqGjMVrD+nhED4/PiBhZBFfeuACSkvSvmJO1x\nZK46MCV7sSZGpR08JcQkO10DFjq7LbR1mWjtlzmmQwms7LuOC++3T0xRJiYX3CytaFWozEpFTK+v\nUpOSualSYUrYuDiV2/pt9Ax7FMi+u8dC34iDgQmPIijNzIdYXI6wcH01am7IQc+oV63A3MgO1SrW\nZKtXhFaq0vkFeY4Q3SNeRmajTC1U0C84wC6PiiTrGnbSN+pQ89vJpTL6h9x0ddkVUWh6MRlArrVR\nRchljipz2mSVLLuxkrU6Ni4Vf7IKTQqfrKdIKzahRKCzy0t9g4nKqiJVIUke6cRkQl0AzM7HWBBs\n4rVqlYkqea9L3S56j3xO+zsvMXJ8D3PhXFiRSjo5W9QqVlXprrQqaMHEdCVDIkaL8rOk8AkUoUWJ\nlbbOklAUIXHDVlYWKTShVGUiRiJOSdDCtBCRJA9VwBPTVQwPx1Q1Jw5dmZOKaejmM1n5SsU7MV1N\na+/NoIm/dwoFZ4DpqVpVlUoLVgtRl5+tGqqut7G0lGybNyiesXB5RYzlPhrBSUhIGrhB+1r4wHEl\nirIypGEX3cqdPTmhZcKOj4UZnwwzPhdTKTzdXT6VC1tbb6RX3NqTsoYTYGioVLW1WzscVDXpcYcz\nyDeeIuPqD6Sd/4YfT+1h/4+f8tm3H/LpoQ/Zc+JTfsg+winTWX4qOc2P5gucCBdyPKbnh7Jijlea\nOFNj52iohO+suXxRfJVPzAV8FrXzVYWPveV+PvNY+cBcyMc+Kx8HHLxtLeY1i5HXfGFedpXygtHI\nKwYDb1gsvOn382Y4zBtuN89b7ar1u1PvYZfexwNFdh4stvCovZTHS6M8EU4ocX0038muHDe/zw9y\nX16A+3K83HfVyh9ypWINcr81xn3mBDvyfey4YuQucQJnRdgq6zc5UbZl+rn7kpMd583cl25nx1UP\nd11ycUeai01pflIuRBTcPymq6rxSzqYLYTafdLDlu2w2f5fLmhMu1l4QXnGC9RejrDkX4pbL5Upc\nbxFxPelRc9QNB/Ss2Wdkw16pVmVWW4zuiJGUs0HtfufDrBcD1c+r5qbPTKSuiqvMZpPiKis5a/ZJ\na7iI1I8ySH37NKl/uaz2ZX/3nVdF1711KYAxVMvQ2H9/gXTzISunQiH86KOPePDBB7nnnnt49tln\niUTEf/Lrj39YXEUgpWqtrpb/yX99mSyxQRd9jdx3xMam7zykCLR591U2v3iZLY9lsfnhq1pb+OkL\nbHnxHLe+dpUUmbu+qydlt1GlJajz3RJ0L11m01OnuOOZs9zx3GVSn8tn44slpLyqZ8MLOdzzRhaH\nLrmI1jQxt7Dwty/lX3RcZ2KmTyWBDC96V9NsRBhlB9XF0nUv1675VUi4hIWLkamxKx9f9ALhinRl\nNpJMUwkMv4ZftYK1alLau361VqPEdVIT17EJN4sLQQVQWFiOML1UysiMm54RuwpAb+oqok/awQMm\nGpsK6O61cG1FxFMDNWht4RvEJO1rmaOGGZzy0NpnZ2zKz/K1cgVzkNbw2LgGvRfh6h6wqlbw4KST\nwSkX7YNSNbvVDPPGSo2Iqnyurd/I55I/OjwVUaspYjiZW65k5Xqdap8uLNYxvRxjYj7E6Fgp/SPa\n6k1tg57qKoFmyB/Y2GobOCliN6/XrM4tF2XVRNZ85EJChDU5n9WqSYEKyCniMzFTQc+wwCPEMBVW\nqTJiUhJUYe+oj04JYR8tVWstkzMxJtvddJ8/ROfnbzPy9bvMm86sPnaSJHTDuCOPLyIjM1bh1M7N\nixjdaNnKCsvKSvcvKzYymxTBl/1MqVhVKPdqGoyc49OVDIzHGBpN0N9fTkODm+pqC83NArL3/mJO\nEhGW+2tgBjEn1asqWdqxbR1Bxsbl3/sms9ZfnVqlK7NYeTy5/40qOHnKe5X3IULcyvhsNYMTcRUM\nIJV5kjWstbK1j/J8ckEgoAm5GBCesVw4yLxW2tTSSZhQpqq4AvjLhVZNdQnxymIq6k209rroGfbS\n2eWkuclCdXUxHu8lruZ8z8lTX/PdoY/4Ys87fLLnbb46/AHfnt7Dz1k/cc6URnrpFS4F0znju8KP\npkscMWdwNFLMqWorZ+scHK8w8X24kCOePA46C/jSY+Izv4Ovwy72BOx85jbzhd/BnjIvX0Q8mrja\nzLxiNPKCycKLFiuv2my85nLxRmkp75aX8240yitOB8/oLTxW6OSRPBuP5pl4yuLhWRHVQIzHg3Ge\ni1TwlDPEA9kW7r/q5P78EPdnObg/08z9+lLuF9CEI8ZOV4L7nQn+mOdlxzkjd2WWsiU/wZar5WzL\n8HNvuoUdmVZ2ZPu4r6iMHSXl3JUu/GEBTISUWP5Sscr6zaUYunMh7kxzcs9pPZt/ykF3XK9mszJf\nXXMuzoZLcVLSY6y5EOeW8wmtLXy2lJRvikjZK6HoQloqQrevUFWsKWcCrE0rZ93FBClSJYu4Sgv5\ngIHUr2+0hRWRSbWHBZXo0B7n83RSPznPHV9kq3D11EOl3HLQp9Z7Ps4pw5toZWzy32tQlZaw8BwE\nmJSsWoWn39kp/z/8+uNXiatUrWVlZf9wnuvfHgWRFh4/5uS2w6Ws/dbHxj3FbNqdxR3PXFItXt2j\n6Wx+4gK3P3uOTS9nkfJGIRvfEdewYVVczejeNWlpC69c5rYXTnP7c2dJfS4L3YuF6F41cMuz+Wx4\nNpMnP8vjaIaHpo5Brq/878Pqf/64zthkq+LCji1pJCUxLWnOXbfKQNVEUrCDHhUP195fSCB+ibLq\nDNr69QofODgmBh8Xc4s+5q9p5iSZncocdgE/feMWmnv0jE55WVpJrsTEFORhbiXIyIyH7mELrb0l\ndPXpaWsvpiKRTVNTCdOzAXUfNde8ifObFFqVPLMSpG/Co5i8M/MixiKQYvyReVmMyYkww6M++kdd\nasbaPmChudtIXWsRHT0WNce8tqwFj69QxcovFaxUS7XMLyboHy1lYCKo0lOWVkSMk9Vli6p6F1c0\n5+/4VIS+kVJFZEokClWSy+iIAAhizMzFmJkXwUoonKAEjytu8PUapuZiquIenRRHcxLQIM8h4iaf\nJw1Lbcwt1jA4FmJsIqaxcmdqmJa1lZk4Q5Nl9I0G6ZdqaSLIyESUwVY3zVd/omnvbvo+eIWxCweZ\nGfCzsCxJNk0srTStuoHFbCSMWwHwR5idqWB5Wd5jkrMrQiytZI2zmxRmEUQRWLnY0MxJzUpkpR08\nM1/P6HQtY5Myt6xQ3NyaGplFirBK+1ba3VEmJqTalVPekya0AwOSEOOnqVHQhCKaFSp3NQlhEAOS\nwBpmZuuYmq2mtz+gYukkX1XYwcLvFSOSSpKZl9fSytx8i2L6dvaFaev2q3lu8kJAHu/mFR+ZDU9M\nRmnvdCvEoLiEtZlsgonJMkbHJfxcdmTDdHd51Y5qqCybSCKfRIOBmhYjVQ0lhMtzcbouU1x0nEuX\nvuWnnz/ju4Mfsnf/+3yy9z0+OfgXvjm7h+N5P3LZdZncaD4F1cWkR7M57b3CT86r/OAt4Gi5gRMV\nFk7FLRyPGfmxrJgjvny+dRXyRamFTwNO9vhsfOW18LnXyp6Il/0VYfZEvXzstfJmSTEvFRXxotnM\nyw47r3s8vB4M8no0yjvxOO9EwrxkMvB0XhGP5Fp4pMDG4wY7T3tCPBup5IlwBY+HEjwbivOktZRd\nV/T86YqZP+d42JnjZGeBkz/byvizp1IJ6y5XnF2Ocv6U72XHeYtqAW+5GmFbRil3pzvYkWnhPgFP\nFEWUCUrWduT7W9KsbLoS0WauIqwqmi6C7ryfzWddqnV8zzkDt50qRnfWxsbLZay9nOB35+OsuxRj\n4+Vy1l+IKcHcIAJ92qvyXjftySV1bwmp35SoNrG0gtefj3JLWlzNaDdciZEi3OJDBjbu07Nhj4mU\nVXEVlrCcun3ytYnUvRKynkHqnnRu3yemKieph4Pc8o2XlO9sHNBXUNM+xOzcr/P2/CuOpaUlamtr\nycvLw2q1Ks2bmvptFfSvEteKigo8Ho9yDf+Wwxrv4M1zPrYcdPG/pP9+yEXq18WkvnEO3TPn0T2a\nge6RC+ieOEfqy1fZ+EYBa17PZ60Qm3YbSX3bpGUDvmNC924RupfPoHv2OLrnLqN7PgfdC/mkPF+A\n7vk8dE+l89iH+RTYqunpH/tvCNy9ztBQDR2dBibmrYq8pK3FaLPTedXqFTewX63HTC/Z6B+X9Zo8\n1SbuHTPQ3WdUgIfWbgn2NjM962DpmgZ4EJGV9nD3cAl17QUMT8sKS1wFiEu1mZyjCm1pjgDTy6Uq\ng7W+rYhQOJNo7CqtvQaVozq5ICs6wguW+2niLFWyCOvkYoieUY9aJ5mek5/VqZmmWpe5Xsvy9Wrm\nVmJqVWb6WpTmHjPRqlyisRxqaoro7bUzOSGZmAklknJfrY0rFZCwXQWV51JB4mJiWVRrNVrFmaxA\n5fZJ0pGQdLq6XOqPrbQcVStXpdk4aJcKul8MWyFmJLKNOKOzZQyOS5RbgLlZcdAmDUlSpSUr3Rvg\ne1m9EXiE/KHXQrkFHnHDQLRyvYWl5Vpm58oZmyqnp91NddFxEt9+QMsbz9Ox/yPaXZkMtHtV+3di\nvpKpVU7y4kKlAh4MDgZW30+yvfq/n8n1FBFCqd60FZxkJSyvVV5PJyvKPNX9S8aqzGVFkBcXZQ1H\nXMfC+RWDlHYKiD8JmqiudlBT46C9TVJ5gnQNhBSEoU/OXomhC9HS7qehw01FjZ5EooCOdpcyK8nP\nOjs1E1PPoHa/jt4Iba1BolG9MhPJLFXMRbLSJJ9rxi35noueHg9NLXYiFRKMYFSz3KFBcYC7FUJy\ncCLI0IiPnm47tTUlhMpycAUzCVXkkqgvIBLNxO5I42rhMU6cO8C3337IgW/f59DPn/DDiS84emYv\nP14+xLGCY1xwnicrlEleeS65iQIy4/mkuS9zzHyOo4F8jiVM6vwpXMJhZz7HIgbO1jr4IaxnryOf\nz516PnEa+dRh4AufTbWFRVj3xYN8FXTykU3PK1czeT43l1e9Xl4XaEQgwOtlZWoV543ycl73+Xgp\nL5en0jPZlVPMAyY3j/nLlaA+FozzmHyU6tVXxiN6N7vOF/IHgUNkGPlTSala1/m9M859zjj3i7Da\ny9lpCvGnAq9a17nzgout55zcc9mkhHVHro8dUrGKEUofZEe+k7sv2dmS5mbTlTJSxLiUWaGENSXN\nxeazFi3z9bKVbZL5et7B5rNu1qQF+N3FKLdkSBs4wppzQTZeKVeVqLSFNxyzs2V/FrfvyUC3N18D\nT6QF1Yz1lrQwt6TFuOWcnCE2nHCiO2Rk3VcG1nxqIuWXtrCLdavCqhNh3Zunre0cNKDbL7NbLTjg\ndyLCe40cd9QzOiXwhv+Oouj//ZAKVtZwZmdnFdPh7zmJ/5HjHxbX5My1rk6uaH/dzDV5BGu72Jsd\n5L4fXfyvAy7WHillw0EHus8lWDcT3TPp3ProeTY/do7UlzLY+GYu698qZMM7JastYSO6t0RcLeje\nMXDrG5e49bWzpL52Gd1LMnvNR/eciGs+tzyWw5YX8/ngiINidy2Tc/96glNPX4Lahjy6hyVP1aGE\nVRNF2UPVBFZBHq77mL7mYHjKREdPMX2DZqbmPIzLDHXYQc+Ale4BE70DBgZHTYzNuZha1gLPe8eM\ntPebmJqXalbA67IWo+WmirhqgIdy9fXYXCkdA1Zqa4toaNTTNyyoRQ89Yx76Jz2MzHiZnA8wvyzz\n1jLmr0urtpT+MS/9wz7m5kWcqhXQQYxDWhUrKTTVXKdaOYZ7ht3UtZlobLXS3uVU95OMVAEmiGt6\nfEZWicoVPEFe79xChN4eF8MjEq8m1WaypXvzmawym1T82sCwn/Zul8LVzc1WqdbtwJCwboP0j4QU\nJGB0qozhiRCtXW6a2yRizMPEhMD9pXpuvAn/Jx+Te6MNTM3E6eoLMj5ZwYrAE1Zbun/dBm1TYiYV\n3YBEs0Vzabn0HR2vPUvHuy/TfuEw/f5cxrr8ivMrZpyJqYSqEIWx29bmUq1PqeBkxqrMVQv16jGF\n4yuv6dq1xlWAQkIJ7PKyvA5pu8rzS6UrnyddyZp5SkxQ2qw1+Z60Oag8rlTNsqYjs9GJiRrlzG1r\nE8ET2IW2QjM6KYEFFUzIOS4ZqJX09pfR0umhpc2p4RSHy1SbeWREfq5lpcpFxMhUBf2DUYUwbKh3\n0NzsZGxMyExiWhLMo7ihJW81xKjaPbZTU2ciXq2nrslCn1wUCce530H3kJv2ATet7WaqqvLxlF7G\n7r2AM3gJT+gi7tJzlBiOcSXrMCfOH+DHU1/z08k9nLywj/M533E2+ztOZx/mrOEkFz2XyY7nk1dV\nRE4in+yKIjISxZzyZPKD5SJHAzJrNXMsZuBouZGjUQunquycqbVzyFvI54ZsPrWX8KnPxhchN3tW\nhfVARYh9ZT4+sRl4tzCPV4oKecli4XWZr5aV8XY0ypuxmKpc5XuvWqw8m5nNE5l5PGb08KgnymPh\nClWxPhVK8Hi4gsf8MR6zlfJwnoldF3L5U3oJf5RkHGsZO92V/NFVxR+dVaodLFXrLnOYP+RItWni\nrrMW7r5oZ/tVJ/cViLBG2KGPqxWe+/RhduR52HbJweY0N6np5cr1K5D+Wy962XLBrkH+093cle3j\nrqtetpx1qVSc9RfCrLlUzi2X4qy9GGW9zFkvySpOnLXnQ2w8aua2felsPpCtAP4bT/nUfdZfKmOd\niPK5uKpe16WVsfGoE923xWyQvNcvbaR8rUXSibBu2GtUkInU70wavOIHoUGZ0X1nIeU7B+sPe/nd\nfju3H7BwydfKr1xI+ZceUkjOz8//ZlFNHr9KXEVUpSX8awlNyaO2rZezligPn/bwu+9c/O5QgLVH\nAqR870b3pV7l/t3+1HmFQbz1xUukvJWN7j29Zma6ae4qKzqpr+u5491stggk+v10Ut68qipXJbDP\n57PxOT2pzxvY8lIOf/nZQW1HH0sr/7p/Mfl9dPbGidVmU9deqNB/Al/4WzShtITnrjuYXHIyMiWJ\nJ0Ymxl2gsknL1W2m57wMj9ho6iiisVNi4gwMTBjVuk7vmIWBCRcLKnJNS39Jgh2SoAf5nqzMiKtX\nzEf9g+K0LGVeoA6TIVWVSgKMqvxGHIxOe9WajTym7M3KLurERJClxeSMdnWXdJWWpAmg7GDGGJsJ\n0z8uWa4xJhcTqtU7MKE9R1efOF5d9A2XMjQdZu66rF2ElQN0eEhcy8k56c3CKs+lzQMVUGE+phJr\nBifFQJXcQW3TSD9iBlqoUhWwOEu7u7S8z0RCkHp2Bgf9zM3F1R7rvDI/JStYEU9tDjs+HaOtP8j4\ntFw4JCvJ5Nw0eYqw9TM738SYpLL0+hizX2TgnRfoe+kJ+r/9C8P5pxivMDPZH2Z0PEF3TxkNDV7i\ncRN1dUlzkrhotTxRMSmJmIqTWXUHFrX9Vs3AJPNWEUuZayaF/mYgg1bpSst5aEhayMlYN/mZfJ6M\nbZP7yqpchwJNiBjf2Jv92/eovXd5TUl+b3IV6H//nWhfi9DK+xKBn56WUcANOMfysjCC4ywuyl5q\nlLY2u+o+tLQ4VCdCkJWCv+zrd9LabaW6WU+0PBuX+wKFpuOU2E/gDKZhth8nN/cQZy8e4Ocze/n5\n9NeczThEru0MBv8FjKE0shwnSTMd55L7PFll2eTV6MmtNZCZyCczXkxG3MiJ0lwOOTP5yVfEsbCJ\nY+UGTtbaSWsLcqbRw9GYgX3mbD4pyOITl7iES9lbG2N/bUxVrPujPvYGHLxfkMurWVfVfPX1cFi1\ngt+KRNgdjyuBlQr2DVnHKS7hycxcnsi38HxpNU+H61TF+nQwzvPBOE+KuPrKeKzExiNXC1GgiUL7\nKmAioQH9nTXsdNaq/VgRV6lcd6Rb2Hosn7vTjNx31aOg/hpsYnV1xxjnvpIo2/MC3H7JTUqaW0Ei\nBHEon99xwa4q37tzQormdG9hGfdm+7n1pJOUk17VNl5/OaEEUmauMqddK6s4aVFSzkkGrB7d/gx0\n3+vRpYVYJ4anc6HV6lab1a5NS6A7lyD1R6dW3YqhaXXGmmwFq4pVQBM/u9GlxdH97FJVbuphOxsO\nu/jdYUEp2th+yEFuqBP+PduUf/cQnZOV09/aDk4ev0pc5clk11X60r/l6Bsdw5Ro4OlzHv7X1xbW\nfedn/fcB1n3vVgiu1E/03PrKRW574ji3P3eBza/ksP5NPevfNaF7/6bK9S0Tunf03PreVW79Sxa6\nLwrQfZiD7uVL6J4X4H8BKc8Xk/JcEeufzuX+9/M4eN5MpFL+EPxzVyPJY3l5jn4JXO7Kp627SCXD\ndAxoYiiRbJOLHmauSTSctIklBs2oRHNowsLUvFS4kuwi+achFq75mZr3MjTlpH/cqtjCLb0FVDbl\nUNmUT1OnkclpMT3J7FTSauTUqtWkwMouqohm75iDoQkv03MhVq4JB1ii2MoZmgwoLGHPoIO+ATtD\nQy66u200NOlp77YwOulbhenLH0wNS6jAEFSpeDclutdjDI/46RnwM7soEPg6NUOdXaxgYjaqIPjj\nUsGOBVQbuKffTWOrhVhVMc0dDoUvXBSq0Crz9kZ7WJuJyjqMRM+NjAdUXNvytWSLV6v2xI27vNLA\n4rUqbaY3Xk5zkwRe25SwCupveDjIyGiE4XFpF0cYnhA0oayWxJieCjM0ElBs2hmVVCOC9LdpMknB\n6mZ6ro5h2etscTJuu8To17sZfOdF+j9/j9ErPzMbN7LYF2JeVYKV9PWXKW5ud3dAGYQkb3RqSgR2\nFcA/LNjIqEL59XTLeoqFplY3PUMRRqS6nKxmYkaMTDWMj8vajjbPlOp2eDiiWrCCXlxYEFewFskm\nDuRlRUfSqu5r12SOW0dPT5ihoZiGNkyavK6v8oqlclYVbyOjIzHaWqXCjSgwv4q2u9ashFbMR2Jw\nktnr6GgV7e1eRXyS1rG05sX1K6dUrWOjMkMN0D/sp63bTXWNQZnSWlsE7CF7s9LpsNDYZiBRk48/\ndAWD5RT5+p8pNP9Mie0YescJcvQ/cjH7O85e3k9a+jdc0f9MrvssJeFLGKPp6CPpZHgukma7QEYg\ng9xYLlcrCsit1VPUZOFqpYGz/jx+dGZw0JnOj5ESjlc7ON3o4VSjl6NVLtUO/s6Zw5fGbD4xF/Fl\nxMeemjK+qg3xZdynzExfeq184TLxQUkhbxUW8brXy2siprEYb5SV8ZaIqsvNa1Ybr1uNvGrS81yB\ngacMbp4KVPBEpFq1gp/wx3jSG+FxVymPWmw8VlDEw7nF7Cqw8SdTgD+4EvxZiWucnU6Zt1YpwP+f\nTUH+kKVn+4V87j5XxPYsF/cVRzRBFYLTTeJ6b2GIO7O83HrRx8azpWw840F32snm03a2XnSqavWe\nojLuKUlwT3aQbRfdbDrtYMMZL+suxFh/qYINlxOsvxRj7cUyJaDyGJtPGtn8cxG6IyVsOOZYFdYy\nbkmLqpUdqXI3iBHqbIJ1J6MK7i8t3w17zQqLmCLCqirWAlK/lbUdGxvOBFh3brXKPWRg/TcmbvnW\nzn8d9rH2gJ0/HLRQFJH/nv8zh1StYtgdGhr6zR3a5PGrxPW3EpqSx/zyPBU9fbxxxc8tXxpV2O6G\nI5J472bdIQ8pB1yk7M5E9+IJ7njuHLe/cJW1r+lZK7PW94zo3jbemLm+r0f33lV0H2UrdJcS2Lcv\noHs5XVWucqY8L+amAm59PoM/vn6Co+lWBkbGV5MO/vbV/eOHxOjNzg4zNh1lcNLA0IiJ3j4t77Sp\nu1Ct2QxOaiIrEXPS3pVQdAFIjM46mFHB5cIClmpOIytJK1nWY2Q+Ozpjo6mzkFA8k1Aii6rGQhUg\nPic7p9f8zF8PqSpSWrvJ9ZprK+X0jthpGzAzMis7o0l4hLaysrCSYGJehMdLv0DvuySvs5jyWB51\nzSWqgp1djGl5odfF8CRVsoYmlNWXFTlXYvT3SeaqOJeTVaWIoyaU0tKV2evsTJSRET8tLTYSVSWE\n4gXUtJgVlm58McGc5JSuyMywRp3ajFaMM9JiDDA26md6qmwVHiFilxRg+Vxbr1HAhmsSM+ajp8er\nElUkDF0qNmnPyvyvs9+r3L8yj5Wg894+B93dLvp6Rfxk5UTWZ24A8n8BNyhnbyvjghLs8jFaZWLK\ndoXJtG8Z3fchAx+/y9ip75j353K9wwfTlSxLZuiMOHQjaiaqPUajCmmXKk+qVFm90eLawjQ22AmF\nCqhqsNM1FKFf4PWDYfrHYuqiTWakwhuWilJWXpIOYRFZWZcR4RPcoWYm0kRRThFiMQ+1tvrp7RWM\npPxM+11Lm1qC0mev1TK9pLmaOzv8CvDQ2elfra7loqB6dVdVg15Ia1ker6raSKIin0YBPHR5VRUr\nLmAxQnV1SQavnbpmE2WVxUTj+VRWFtDcYqC9XbJTDdQ2FhGtysFbehGz+STZhd9ztfgIBucxjI4T\nFBiPc6XoR9LyD3O54DC5pqMYopex1mRjqcxCX55JXiCDy54MznmyuFqWR35FIVmJAnJr9BhaHWQl\n9Bx1pPO9PZ3vvTn8XGHhZJOXs60BTtZ6OBIy8a0jj33GTL6wFvCZz87XlWV8XRvls7iLT4IWPnUa\n+UxmsC4TH1qMvGu28GZpqTZjlVZwKMjrDgdvWMy8YTbyhsPI604zL5rtPGMr5fFAjMdCFWrG+pgn\nwmOyhmO28bhez+MF+TxSaGSXMcAfreXsEEewqlpFXKWK1c4/Fzm571wGO85nsyPLwo7iEDvMq+xh\nJbBJXGKce/IDbE13cut5n9phTT1uZvMJI1vTnGxL97G1IMQ9Ri0Q4O50H1tkFzbNwYa0UtakaeYl\nXUZM0ZnWnPWzMc2tZrTbThSy5VgJqcecrD9dqirWW86VqypX5q1r00KkpMXYcKacW46HNLj/vnzW\n7RVgv4ON4gLeV4Juf6FqA6ecC7HuQhlrzgbY+JONlO/0rN1v4HcHbPzXoQAbvnGw84gRY7n8P/jv\nP0QXhOEgRaTMXGX2+s8cv0pc5UlFYH9r5SrH8PQs+wpj3P6NhfUHS1l7OMTGIwHWH/Gx9pBAoA2k\nfpTNrW+cYdMraZpb+B0rujdXq9Z3jSo5IXW3gdvfy+f2j/JJlauj/WZSvzCgey8P3UuZ6J6XTNhC\nNqoZbDZbXr7IC/vyOFkQJFHfzcLc0m8uYmdnJxkebmV8JsrMNQ8zS16mFrxqx1Swgu0DBq2a7S6i\nZ8hI94iJph5BHpYotOHySmR1ThpRRCZp80olKuKqclGvRxgecVHfWERjm+ASZa/VTHe3gCmcDEx6\nmF70snxdxFlMSOVKZHtGnXQMOZlYlFxVae+KsGruX6lAJYlmaamceclMXYjQNeCgvCqPqqZi2gbk\nj7yH/jG/Wo2ZXxHohNwvuWojAeVxhmQ1p8+tAsc1sHuSbCSCtyqY16pZWBTAehldA6W0iOGlv5Th\nmSh9EwG6hr0MDgtlqIyRyQjTi+JcrmR8WlJOPKraQ2Vy3tzS1HYstY8SqdbM3LUalVMqOEAJFF8R\nIMKCYAm1ymtuoU7B5cXoI9V0c6eD2kYbDfVOVV3KLFcMU9KaFUEUZ6zsjgqyT6q6odEo3e1O5upN\nXI8VsuDJYvrCYcY+eZPxve8zffl7ViqNMFXB/EyVylYV0dYi5uQ1a0Hh164JXKKJxcU25ucle7SG\ngYEyWlpk1SnO/GK9el6pEqfEvTwrj1GhdnPltcnstK7OrrJT5aJBHL1jEwm1DjMyIS3nuPqeCHt7\nu1PhAJua7CqyTWtLS8chzNBYWEXACXdXTE3a49qorjYoqL62WxtlcqJM3WdiXKMsyQWLPLfM2Zs6\nrfSNBhiZijIwFmJwRC4CAvQOuGnuNBOvLCAYvkpZIofK+kIa2ow0tOipqcmhvDxTCavRcIzCgiPo\nrUexeE9hLz2NzXsGg/0MVw3HuFTyEwXec1gTWdiqc3A3FOBv1WOtyCHLfZ7LvitcKcsjp8JIUZ0d\nfbOdwgYL6fESzpZmK3E9HizhdJWHsw1BTtf6+Dlk4seAgZ/KbHwfNHLQW8SBkJ2vy/18GfPzWcTD\nJ14zn7mN7PFZ2RtysSfi4wO7lTctFt6NRHhHKldZv7Gaecdu5F2vnXdDHnaHnLxVaucZh50nXX6e\nDdbwVLCaRz1lPGlz8azRwjMWF89a3DxnsPGk3sEuQ4A/W+P82VnL/VKtSvUqTmFHOfeL4SmnhIcu\nZ3N/hl4zL93cDhaRtdeww1atfa8gyL0ZLraesXH7cSt3pVm467KTrVlh7swv515DOXeb4txpiHFv\nto+7Lzq59ZyXFJmpXomz/rK0giOknCvltrMubj/jYGuajXsvWbnznI3U405SRBCvSGWrzVg3pAka\nMcq6tLA6N54NkfKjjZR9+Wz8Wq+EVfeNntTDZlKPlbLxdBlrz8VYfyGh7qc7YlGim/KdmXWHnPzX\nIbfKjH3ipA1rlfw//+8/pGgUkMT4+Pg/ZWRKHr9KXKVcTj7xbz0Wlq5x3FrJH36wsf5wKf91KMTG\ngwHWH/Ky5oiT9YedpBwwkvLBOXRvnkL3bi66t/Xo3lhtB793k7i+Iyn2BaR+VULKASsbv3WT8rkB\n3dtZ6F7KQvdszuoMNpdNL6Vz17sZPPFNAWnFEZpa+liY/20V+PTUMH19lYzPiDgKYUnLVJUW7dRS\nKd2jVjp69XR0FtImO6jdeirqc6hvLmB83MvSYpmqAqWte7O4JrNZpWqcnAzQ0W6id8im1m16B+10\ndFlp75V4Otk1tTMx61WGofnlEJOLpXQOSUqNW2WcrqiWrqACpYoSAU5GvGliu0wFg1Ol1DQX09gh\nMXg+ugQgMexmcMLL6GyAicUwM0sym61kbjmhAA+DI26GhzyrUWs3i+tfG5TkuacW4hq7diTKxFSc\n6cUKte/aLY7SgaCq1PrGggzPhJlcKKO730N9vVVlciqRvt7INWllCtRAhV7LY6+uvdDIzHIVg8Ni\npomuzgqTKECZmUprSVq+Mq+tY3wyqgLt61vctLaW0tsTVMSmwaGQ9hijstKi8X1F/CSztL2rlOYG\nKxN1JpaqDczG9EzmnWTsy7cYfu8Fhr98h3n7RZb7A4wPRxWZSdZcblTc2uz2BkhCe20ipBMTAoSo\nYH4uCaSQ27Qp1q7GUm5UUH4R666uII2NbuXwFdGbkjb0lOwPVzM2Je1jLVRchFegFPX1ltUqVwxH\n8jNpK4sBrEyJ4uh4uXqsugYXtXU2RYmSSnlKkIiTEcbElDQut9MIS1I5NzaYaeqw0jHkVvPwkeky\n+saDDIz5GRnz09nroLKhmHD0KoFQOtHKHCoaC6lpLqGqPp9o7ApeXxpmy0mKSn6iyPgTNv9ZPNGL\nuMsuYPOfo8RxhlzLKbIdZzDHr+JpLsbTWIS3qZjSZj2meDYZrnOkhzO5WlNCTp2N/AYnxU0OcmvN\nnC8r5KTvKsfcWZwqt5BWH+RsjZ8T5U6+9xbxg1/PiQo3R8sdHAqa2R9xK4awrOF84rWo/davfHb2\nRbwciAcUqWm308ZrJjPvBIK8GwjwpsnM22YDuz1m3i/z8X5FhPfDXt7y2XnK5eQxd4BnfZU87Ynx\nhM3HMxYrL1gsvOj286I7zAsmF0/qXewyBbnflmCXzFilHSzuYGuUnaYAu4qtPJRbwmOZBezKtrGj\nMMJ2CU1PtoKT4iqnKcH2nFLuvWDmrlMG7jplYvsVJ/fmBrmzMM7dJRVsNyS425Rgm4hrjod7Ljm4\n9ZyflPMCj5DKNcKa0z42nXFxZ5qDbRfc3HnFw3blUnaQesxByhn/6m0TrE2Ls1EJrFSxYQWe2JgW\nIPV7s1rZEeOS/A2XsPaNx2QOXM668xX8Li3BurQKUk5H0R2UOazA/iWNx81/HXJx+/d2Xkxz4qr5\nbXul/+whlap0ZkXj/hXHrxJXedJ/pi0sx9ziMuc9CR49ZUX3g5//8W2AW/a7Wf+Nk5TDTtYdcbHm\noI2NX2Sje/88OlnTeSNztS1s1kRW2sKCQ3yjkNS380j9JJ8N+wysOSQxSDZSvyxG9/oVUp4+j+45\nqWBFZM+z8Y1L3PZ5Pi//WMLFQi99g79tpWh6up/+/jDjM+IM1ri+moFJVl4k8s2vuMHDUzZ6Ri00\ndBTjC1wgGLys5pzjUwGmFsMsXZfVmNBqW1gzQsnKzPRSmIERj1rTGRpzMHs9wOxKRAmQ7Af2D3np\nGHDQ3COVhJmefgeDQy71eVufnaVlaQlXqnau4ARvgCOSKTTVTC+XqdmsoA4FMSdUovnrFUwuhpWA\nymN2DDrpGHQrZKEIb/eIh95+ByPDAsgQsf57YAdNXMXgMjLqY2jYr+aPi0u1quV8TWamq7CEqZlK\nxubiisTU2eWmstKgWqXNTWZ13wnZbV2qYkHmu7+s8GjzWnmsuXkhAEnllBTXm+enf23gkefr7Q8y\nPFLO4mIj15Y1E86c5KSKuWgipqo/qQL7+sJKzCoqLSRiBppjBnrKihnwZTOYfYz+b/5C10tP0PH0\nQ4ye28dkZSE97aX0DklbtXbVhZwU95uBDF1qbiwCrjGGBY8oFyeSEPO3aTI3jERyOyFJSYv3Riu7\nnWvXe1VlrL13cVg20tUVprNTkI71itKkWt0rq/eRC5XV9SAhPzW0u9W+qgj4/JyccYWbHJstZ3BS\ndo6DdPf4qK0xEA5lUd1YQvuAi44em7rQ6xhwqa9bemxU1RUTjlwlEEknGMsgWpNLoi6fiqpsovF0\nvOHzGB1HyTccweA5hb3sMo7yKzhj6bgTGRhLz5FlPEaO8xz6aA7W6jw8jYUE2gx4G0vQR7PJ8V8h\nw3+Z7Koi8tocZDdZSa82ciFSyMVoIek1Bs7HizkWyON4uZ7jCQs/+oqVsP4UN3Oi1k1aXYCj5W4O\nuM184jLxvtvMRw4Dn7kt7Al72ScrODXlfF0R4rOQi3ftFl4zGnndbNYqWKuN3V4Xu6Ol7E6UsTtW\nzjtuJ6+azTzpLOVRZ5DHLD6eMtp5zqjlvT4vbuLyGK+Gyni6xMrDRXZ22aPcrxJzKthpj2lUpmw7\nu3KsPGLx8YjByQMZev6U617lDv+1iUlVrJZKJbR3XbKx9fss7jldzPZ0F3dmh5WwbjfEuackzraC\nOHfrRWRj3J0hu7Bmbk3zseFcWEu+Oe1h4zEzt52wqHWfrfkRthVFuPOylS2nTEpc15/0suZ8iA3n\nYqSIO/hs5JdVnN+dLeOWk141V93yaQYpX+dyy2Eza04ElTFqTVpyVpvgltMx1hwLsvE7Ayl78xVS\n8b8OePhfhwJs+97NW2cc+Kr/M5WrdGSlM/tbIEl/7/jV4iqD3n9GXOeXlimK1PPmJS+3fl/K/3Og\nlLUHPGz8zkXqYScbvvey7rCbjbKw/FkWt/7lIre+fwXd7gJlYtIJzF8MTrsF5l+C7u0CdB9ks/Gr\nEtYd9qyao8xs+iibza9fIfWFbFKfzeLWZy+w8dUrrPswj7s/z+ONnwyYw3WMTEz+6vJ/aqZbmXUm\nZ71qbpokKwn2UJJtNMdwgKllL4PTTlp7jZTHrhKLZdPZbVVABkmsmZh2szDvYWFFyE6rIntdqlBh\nqLpo7TQwMikEJ3EWyxpOgoUF4bGG6BsvVVVEW7+d9h4bbR0WquuLqW8xMDZZyvxylPkVDdSvzU9F\nWDUG8LWVSqbmwgyN+xgY8iiAQ5Ldu3RdSD9SDfrVPmLfaKki5bR02ahrMdHcbqGnT1q35RqPV63X\niEkpORfVskpFuIYGfQwPBdRO5nUFWpBTEwL5Y7+03MD8cjUTs8IGDtLQYCeRMNDZ4WB8IsDwdJjh\n6QjjEzLHLFdcWwnxFkeqYPTksQcHgqri/N9dsUlx0+hIiwu1KmBbqr4bYqe1lxevNzI7V8/sjJYv\nOjgYpaXFS2OTU62cdMtKS7OHoUoTo76rjBecpG/v+7S/9AS9e9+hL+t7Gn35NDeXKtTg7IJAGmqZ\nn5M4OYlyq1MtX2k1y4VGT48GoheBlZ+LU1iMSNekHb3SqKAUyry11MTcbI2qzGVOKxAIEUdNYGVd\nqIOVFS3APPnYXZ1BurpDzC7UsiQz3+V65hbrmRGD0kKDclzPTNeqbNe6Fjvt3V4FdpidE6ZzOWNz\n5YxIlN90hN5BwRFaFBS/vCKPulYT7f0uOkVYO8zqv7umDguVdUVEoln4Sy8SLk+nvDabeF0O8Zps\nYolM/JGLmH2n0buOYvAcxRG9hK8mF39tDr7qLBzxK5T4z5PtEONSFs66Epx1hbjq8yltLsFdX0Rx\n2VWyg1lkRHK5WmUkp8lOZr2ZKzV6rlQaSZez2sDZ8kJ+Ks3hh2AhP5bp+TGo5+cyEyca3JxpCShx\n/T5o5XNTLh9Zi/jIbeZTnwiri28qwnxTF2NfQ5yvEgE+8dl4x6TnteIS3jCZeNtuZ7fXzQdlfj6s\nKuOD6gS7Y3Hedjp5xWDiSZOLR80enjDZedps43mbgxdL/bwUjfJqIsbLoTBPGqw8VOK8EUMnImv0\ns7PIxUP5dh7Vu3ncE+ERW0AFqv9R8IdJIZXzF6dwgvsM5fxeounOGbjnh2zuOW/hntwgdxXGuKuk\ngnv0ce4ujiuhvbckwY7iGHddkbavlZQ0P+vTQmwQAtNpB5tPmdh63sFdWX62lcTZWlzO1ot2bjsl\naTlu1p3ys/ZshA1pUdXWXX8hwpoLZdxyPsbvTgdZ87OF1AN53PFlJrrDetac8vI7tQMrlW5EnWKE\nWnOmjHXH/aQclNScAtbvd/C7b0r5n9/62f69h08u+gjXScfn339IR1a2Yf5ZI1Py+FXiKor+z6zi\nyLG4fI1gTTffSqrDYS//z143KYeCpB72oTvsRHekFN2hACn7bWzaX8yWQ/ncsfcqut0ZpLybj263\nCGtyNUcq2GJ072Wg+0yyBMV57OeWQw5u/dbM1i+K2fTqVTY9k86W59K5/VV5nHzWfVjMli9NfJhm\nocQXZeJX5sCOT7fR3m9kctYhUfBKUDVsoYSM/3UVOzrrUdzc3j67MtT0jco6jE0B+Lt6DSrBZnrB\nuwp4CHHtekhVtX3jLlr7DIxPCy9XqkEtjk1WeK5djzN3PcacJMisxOgZ8VDTrCeeyKeispDmLqtq\n16nViJXEqiEpyeKVKlBmjAKWD9A3FlDVyg3nrqACNaiDnEJCksfp6LATi+crIEBjh5vuXj+jIxFV\n7Yh7d0EMTb9AE0Rcxdwjc9XI6spGcqc0aYJKgh1kZaZW5XOOTJRrFdpMQlWmozNl9I746R8I0N+n\nAQ3EESwRcu1tNvWHX1qhyYrur6tW+ZjcE5UZrFCLNCHWfi4tZPmZdp/r15P0pDaV16phBQUDGVc7\nqdeWmpgfT7A4XMb1Xj/Ttsv0HvqczndfpuX916hI+57qQCE9Ylqa1EAV/f1RBvrjKmpN3LXy3FIV\na4k5rtUZpxYUPjdby/xCncp/nVqsZGGxnrHRcrV7Ki3eAUnCmS5XP5PbyXtWBqSZGiWYMm8VY1Fr\ni4OOTrciTUkLXtakuoZDtPeH6BsM09sToLZWLmKMytErbl5Zk5Hweblt/0SIwYkQE1MRNVuvrCik\nqq6E1j6Honi1q+xalzLFdXVZqK/XKlYR1mAgjURNpsohrmy8SqwmQ6U5OUMXyHcewxw6Q6A2nWBd\nDqH6fOKtBUQas7FEzlESvIihPBdXXQnBNqNqBztq83DW5eOoycecyKcgXkRG3EB6zEhGwsiVKj1Z\njRb0vX4K2z1cKCvimOcqh8Up7MnjSNjEyTov59qDnGsPcbY5wIlKD/uceezOT+NTawH7wm72VpZy\noC7MoboYB+tj7K8P81W5Wxmb3inK5/WCQt5xudkdDrG7PMCHVRE+rYvzUU0F78VivO1y8YrewBP5\nRh4vMvOczc7zHj/PB2K8Ek0o0MTLZRGeLfXzhNnJwyafEtf7VcUa4s8FNnYVmHjaFeQ5cRiHEzzs\nDLOrwMkfC0u1qlVawI5arSW8mvn6h6Ig92ea2HW+hPvPGrknw8/WwgT3GuLcq9cq1ruKkus6CXbk\nxbj7kk/NVdemBViXFuCOsy62nrezNd3BPQVBVSXfVVyh8YsvuLn1rEuBJmSPVVZopGJVbeAr5WwU\n0IQYlE64SDlSiO67bHSH8kk9672RrnM2ripdEeVbBO5/LoTubADdIb3CKOoOeln3XYD/udfFn370\n8l1ujIqWob/9k/tvOf6j4prcc5Wcu996LF9boaFzgPOOCv7wvY3/+aWJ9d/42HiwFN1hHxsP+9RC\n8cbvnKQetHDb93o2HyxE92UuKR/kkPJWPjoFldDWcXRv56N7N52UTwpY/41UvX7WHfGRcsRF6gEz\nuvfz2PRKOrc9d4nNL2eoCvh3H5aw5hMjv/+6mM8vOInUtTEz+//+C5X81tnZGXqHKmnoLKCnr4iJ\nCRvTi7Ju41dVrJza7FSDSAxNO+getjE0LIkgHqbnAkzM+RicctA7YqFnwKx+rnJapwWc4KR31KZ9\nb8TFrEISahB8jcqUPKUiFcNRBcNTPlp6LDS0mGhqE2eyT4nmoCLh+BmcDjA+FWZ2VqATIrjlDAs3\neNTP+HQZC0sirsmZrAhwMtVGWrB1SqB7BtzUNOhp7XKquDYxyIyNhpSzd3hUnkvWXqIqOmxmVuAD\nEh/mZ2BYLhrkcZNVqwaLSAIQFAThej1TyzLDLleCJi1b+b6gCidnKpicEqTf6jktJp4Q9S0WKmoM\ntPeUMiRCOFXB9Co0XmLMVJ7ocjPzknG6LDB9TfBEzDThlavjpKAmP5ePnczO1zIwGmVmLumI1lZd\nrgkEQjCFSw1c6w4w5cqkZ+8HNL3yNPX7PqS9+Czjg2LQqlPPMzapgRsEWCFfi5O3tzdIdbVZpcnI\nHmoyTWZyIqHew9hUjDFJjRmP09nto6rOSEurQ1vDGZeEm7i6nQirSqGZjKn7iKDKmozA7aXiHJkM\nMT4dYWxKziij8rhTMfqHg9Q0mKmq0dPRbqd/wMvQmHQppK0tMBEZl3jo7hZjlJFYRR7VDcW099jp\n6LfT1i9+AjvtnRaamopJJDLx+M/iD58lXnWBqoYMqptzqGzNIVqXiSd8HrPvDPrSszgqLhNuySXU\nkk+wKV99XlqXiTl0EWM4HWtVAa76IkqbivHJ2VyMv7MER0M+eaUZZJTmaMJaaeZqnZW8VieFnR6K\nO7xkVZs54crgB0c6P/hz+Slq5Fi1m1PNIc60RjjTFOB4hZPDvmK+NF/lA30mX/iM7K/0s7++jAMN\nMb6tjfFtdZj9CRdfuIr4sDCLd0uKVMX6XsjP7lhEtYI/qIzyUXWUv1TFea+sjFdKSngmK4unCkt4\n2mznOU8pL4aivByt4JXyGC+XlfFiJMwzvlIeMdp5QO9kpzXIn40+7i908JDeyRM2L08FojwTqeCZ\nQIxHraX8KcfKfYI/FDG1VrNdDEyGuErQuTfPxx/zXDyc5+CBDDN/umRiu1St+kruLkmoivXuIq1y\nlXO7XgLY49x10cXtJ0zoTtjZdNqphHVbppttBUHuKilXM9ptRRUqgWfbWQe3nRJXcZB1aRHWnxWn\nb5lq8a69VK5SdFLOeNj0k5HNB3PZ9H2RyondcD7A+ssx1p9PsP5snPVno6xNk7ZwmXIYbzjlJeWQ\nEd3eEjZ84+J3B7z8j6+d7Drq5Sd9nJqO/4y4iq5Jd/Y/0hb+ZyEScojdeXBiBGO8hieOGVj7eT63\n7LWz7lupXIOsO+zllsNONh4W3qQD3WETuu+Nimep+zxfgSZ0bxdqM9g3i9C9kaPEdcPH8jgO1n/n\n1x7nex+3HLSzcU8JuveFPXxO24N9L491H5Vwy6dG1n5gYOd+CyeLAyQaW1hc+r+/r4WFOQYHOmnt\nDKhkm8aWHDo6ChkatzC55FGzUalYNXiEkJmc9I3LHNTI4IiN2Rmflo8qgeOEmFgQEXTS1G1Rrsqe\nXiPdPSXUtebR2m1Ss9DFRWnZajNTiYuTTFXBICbhEfJxcq5UPY60ioemIiqnc3i6TM3DVMUhgIde\nB4ODbmaWoipjVQD5PUNe5aRduZacy94M4dfms1LxSuU7MOVXLcGxybByCi8uyoqJrJZIZeXQqqZu\nh7pNb38p3T1+6lqddPZLGIAWD6cB+JN7l8ldV+H91mlgismQWuVZWUkK2s2zU+3rxZUGlfvZ0OEg\nXm+iqdtHlxijbsocFfPOuLhoZ+OMzsUZmIjTO1SmVkcmJypWq1ztca/Ty/Vfslm15xmbqlSgiYmZ\nvweaSH7dyvXRcoYyf6T1w5fp/svLjKV9w0qnD1YNTctSMav3rc09JUdV2ruCC5QVliRcIgmaEOOR\nWoEZjakWdlObk3idkWa1V6pB+pO3V07e8QQjk1F1IdXcJkYmE10DXtXSnZ2LsTAfV12Ha8ty4VSn\n5stD02U0dllp6pC5tp/JmagG5ZAdVZndC2ik20ZVVSHReC6x2jxqm4rU/L+9x6hSmBq7TNQ0lVBR\ncZVQ5DzO4HHClWepa8+kuimDeH0mibZ8wvVXsXhPYvKcUrNVX30OwbZ8Qh0FBNrycDdmYatMxxjK\nwBy9qqpUZ72cBaodHOo0ERkwY2vM54L1HGn2dAWIyGmwU9DhwtAXQN/tJ7vGRpo/lyOmcxxxZSjU\n4ZkmL2ltIU40hjhW4+d4hYcfAgb2mzL5wpSj1my+innY3xBmX32MfTUx9iXC7C/3sC9k4jN9Brsz\nzvGe1cTusgi7YyF2J8IKHrE7Xs7ueJAPysO8V1rKc1lZPHb+PM8K2N8XUBWrCKtWsZbxfDDIC6EQ\nz3hLebDIzP0FJnYaHNxfbGVXgZEnHX6eX6U5CeD/eXeYx/Vu7ss0cm+uZL6u7rYaYsrctCPHqzJe\n78+185gxyK58J9szTewoDLDdWMG2woRqBas1HWnx5msz1x36cu66YGLrT3ls/bmErafNqmLdWhBg\nq1FawatZsYUirhG2nbJw+3ELqWcDquKUylNau+IW/p2I7Rkfd5wwc+ePRWyTXNhjVhUOsPZcSM1Z\nN6bJfLZcff67c9IWjnPL6SC3HHWw8TthD5tYu8/O//zayf/Y4+CRU17SnHEae/8z4ioz1/9I5SqH\nuKlE1eXJ5fNfO6u8cVyjqrOXN8+buHVvNhu/NbH2oJO1h73KQSzVa8phN7rDdiWuKZJuf9LDrYct\n3P55Pps+KCDl3eLVyrUQ3RsZpPwljw3fOkg5LOIq6z1B1stiskTc7Snitvcvc9tb50l58zIbPyhi\nw2cO/usjM5s+M/Ds92bOGcvpHRzn+sr/mUE8Pz/NQH+9qtyk8hwYt9M3ZKe716yyVXvHbCrIfHTO\ny+x1oTX56R+R5XkzY1Olq+stmkiqRJqVMmYXJX0lyNiEj9FRO51deqLVecTrilS26shkKQsrknMq\n1aq2GiMowpvFdXRaDEdWJmYjLF6rUWCH+eUqBbSXymVkXOO4Dg56GBgqpb3HRbxeT12blZHJMIvX\nklSmZGs4WbnWqVnqArUMTwXpGXAyMyvPKRg/4dpK5qisn2grHOOz5eqPd0eXVFFmqmoNNLba6RuN\nqJamgCamZ7Xkluu/ZLS2qEi1QamEJ6IsLtZwfUUE+GawQ3JGKp83Kz5x76Cf1k4vIxO1zMw3KyOR\ntqNZowxDUsFOTicYHInQ0OKmtsFFa1upastqAPlKZqS1OlPH5JxmslJJPQt1DA7HaOsKKsPVDT5w\n8jUkTUo9sNLMRKyEnnPf0fvRy4x+/Q5L1ivQI618EfAeriujkmZWktcnlaoYp2TuubSkxdAJV3hp\nqZWlJXELN6v8V3kPQyNldPcFGBsXaIb2M3mNyZ1WOecWBOyvtY8lE3ZkWtbDBMYhc+lyhYmcmNKg\n/t2DQeo7HSQaiqht1TMg+7+TYYbH/IxO+hmdKmVwzEdbt41oRQ6hWCaVjbk0tEvlqmE4Jc2puVtP\ndVM+gbJLlEbOE625QlVTFvXtOdS15lDVlENchLQyE3voAvbIJXxVOYQa84i2FxDrKSbaU4KvJR9L\nxVUK/ekYY1cp7Swm0GOitMtCaacZd6sBY10+ueVXuViaTkasiKJ2D4ZuH4YOFwX1VrIrTGTFjZwP\nFfCTS9Jv9Jxpkmo1xMkmn6pWj0ZsHA2Z+blUzw/uAr7xlbAnYudAdYiDDTEO1IbZG/ex1+9gn8/C\nPr+eL2x5fGTI5X2fg/fjET5KRPkoEeP9igrei8fYXRZit9vFe3oDr+bm8Hx+Ps85vbwQKletYDlf\nisR5OSqt4TJeCgV5xuHk0dxiHrxazEMlNh41u5WwPlUa5alwBU+Ha3imtJKn7REeLfYpqP99hSG2\nmxL8QR/nT4Vh/pjrUG3kByw+HrIFedAU5s9FHnbk2rg7P8hdRQklqDJvvcsY525jgnv0Ce4qLufO\nHB/3nCngnqNX2XZawgB83FMQ4q6SqBLWuwQyIQYoqVyzI2xLs6iZ6/qzfrUDu+FKlDUXy7nlbISN\nJ9xsPmlla5qFu8+b2X7OzNZzbnTnwmomu+FslPVnI6w/H2HD5SjrLokoR1h7upQNRx3oBIO4z8yG\nb33K0PpfX5Xw0nkXhmgdvSP/GrfuP3pIxSpwpOHhYYU9/Gc6szcfv0pcpWKVJVtxVMmSrVShv/Xo\nH5/mizwX9x7JZdOREtYeNnPLYWFMSgUbQHfYi+6QXYM7/2xDdz7E5jM+tv5gZvMXhaTulvmrHt07\nxehey0L3lzzt9t9LezmoCezhAGu+97H+oJXbv8rl9vcvkvr6WVW9pnzq5JZPraz5xMCmj4t544Qb\nW7SZ/uGJ/yNgYn5+nP7+OGOTmnFJIPrjc0F6+uy0dRgVKL99wEzPsJ2xWa+Khevpt9DeYWJyXnZY\nK1TlKQJ7/RdxTFaJMebn/fT0W4lWFlJWVUhDu5nuERejcwG1BjN3La7ACddXhPWr3Vcq4cFxiaUz\nM7sgKzfJmaZ2Xl+RhBLZmZQWpADbfTQ0WgnF8knUG+gVYIOqbmQ/tYZr11bBDgo8r4nr/PVaVVUK\nG1aCxTWxkedJgh2SlWgT8yu1dHZ7lMO0od6kuL8y7+se0dZuhkYjSlzm5yXrVXsu4fD29pQyPFSm\nhFejCt3smr1RaSb5w+NjkqgiKEAROnHb3hDjJBRfxEwes6bGSlWllfb2EL29ETWnlbQdqQAHJdJN\nVnBElKerFEmpqytEa0tACaFE1a2syHqM8IC1zNTl5WauKf5wM6PdQbqd6fQeeJ+hD19h6oc9LLgz\nWZmVf2MxG0lV3KUEVAsQL1fwh6VliWbrheudq4EB3ayouW+HEk1ZB0pWqZJGIz9buS7v7a9zW+Wi\nQuAUkiAkFzUTcwnmrtUyMVXB8HhUgTsGRsRAFaCuyUp5dTHx2gLqpVMyIjF/GlxjWALrZ/3KEV7X\nYSJSlU1ZlTY/be4uVvN/iT6ULkxDRyHxuizckXOUxi5R25ZHQ2chde351HcUUNOar2at3ugVnPEM\nPNXZhBsKKG8uUBVtoqeEsh4DnsYCzBU5FEayMNfkEegzEhqw4e914O20Ym0sIacsiyvBTDKEH9xk\nxdAbwNjlo6TRRk55MRkhAfUbuBjTczxcwMlKB2mtMU42+TlaZeVoxMSxgJHjYRPHQyaOBY0cLrOy\nL+FWLeCDNVEOJDzsC1vY7zay32tkf1hWckx84jLzQdjD+4kIH8djfByL834splrBuwN+3reYeb8g\nn7eKi3nVaudFf5QXoxW8FovxSlmMF4JxXilL8FqBwXJpAAD/9ElEQVR5OS95vTxrMPNEVgGPXS3m\ncaOTp90hng8lNPZwUBJzanm2tJrHLWEeKvazsyDIH4rLlHFJhHVXnpddeRYeNDoUoOIRX1yt9Pyx\nyM29eS7uzAuzrSCh5q33GuNsM2oCu132XHP9bLtk4d6T2Ww/mcO2K161A6vWdEq0ilW1j5Mz1+wI\nW89b2HTGqirWtRc1mP+6CxHWnfFy+3Ezd542sTXdxV1X3WptZ8tFr4L669LKVdW65qzmRpYVng2S\nESv4xFNeLfP1W01cdQd9rP/Wydqv89id4SbS0MHE9L+mcvxHD6lYu7u76enp+ZcJqxy/SlzlRUhS\ngKi8lM//jLgOTs3yvTPGQ+eNbPo5n3WHC9lwyMzaQw7WHvaQciRA6kE3un1F6H4worsSJFVA1Ke8\n3P6dnjs+zSH17QJSXhcyUy66jws1kMRBCfcVWoiPtYfdbDjiZ8NBH+v2CV4xhy3vnEX3bgZrPtCz\n/mMbGz61c8vHRu7ca+St0w6M4WauLf799zU7P0pHn5/hCbeKhRN378xKkKnFUkZlF3XUTkefmbYO\nE21tBlrb9TS0FNDSXcLkok/tsmpsYEmP0eam2hxV9l1FfKXS8NPYrKe9w6r2DfvHShUTuKNHSxoZ\nGvQyOS0JNzJzjbO8HGFgzK3yTGcXRLCTqzFSeWoO4eurNKTlJak04wwOlFJVrae+0cTwaCmDKoxa\nS04RsMPERIT5eRHqemUsmpkTYS5TAddLi/K4yf1WqeqSDmFt31XyXYeGgir4Wu1ZTlcxt9DA1GwV\nw6NlypijkX00slJfn09xaAWVJ+1SqTiTkPsb7VgNjyhfC21oZqZMQeOlLXpNxbppjuCbW7ia+DQw\nP1ehUIOy1yoxarKuogATc/I4VUxJlTtTpeaYkiYjLuG6Wie1tUIdEte0hKxr6EJh+wr8oaenjN4+\nCS2P0tBkp9qfSefl7+nb+yFdrz/H4OFPmYnkMtsfZnq+gbmFesbH4jQ1umhocjMwFmdcYBHTIuha\nCPrYdI2KlxMs48hwOY0NLppaPXQOhukeFvpWnKERDRQh+ajav1U5ba0e4jE9NY1m2ntd9A8FGZGc\n1NmEmmGPStTfhFTrQVpajNTUFdLV49ByegfddPe7aO8TLrSDrh4r1UJRqskhUZ9DbWu+lhXcXUx9\ne4ESWGkLR2sy8ZSdxxu/SLD2ConWTGq6c6jvzae2p5B4Sx6u8kuYQuewVVwm0JRDdY+emq5i4q15\nBFsKVfu3JHoJfTwdd5sRX7cVT6cRe2MJlqoi7LV6bHV6DDX5FFXnk1+rJ7fOolrAV2IGLpUVkldl\npKjeQnadiQtVBk7EDRyrsHCiysFxAfWHi/g5bOR4zMGZBh/HKx185yniQNDK/ooAX8W9fBG2scdr\nYr/HyHdBC4fiTg7VlPKV384HJpMS0d0VcT6IRvkgGGK3r5T33E7ec5r5i9vMx24rb5itvGB28Wo4\nyiuxOC+Gw7wUKuPVYIKXg3Fe8IR4odjCs1mFPJ5VyBNFFp71hBV3+IlQgqdDcZ4NxnkqVMHjvnIe\nt/h4sMTN7ws8/KHAy58LvNyfa1XC+rCxlEfsUR5wx3nIGeFRk4c/5jvYluXk7oIw9+q1lvCdxQnu\nNVVwd0mUbdk+tl8y88e0Au45lc+2cwZFbdqqbptQxifVDi5YdRYXVXBPdoTbTpvZcMKmWsG/Oxtn\nzakIuuMuJayyzrP1ipOtuRHuyPSz+bRFzXBFXMWFLMKqWsjntCD1Nedl5hrjluPyd9nExgOy57o6\nd91fyMaDBXxWFKKuc4i538gf+K1HsnKVovGf0bS/PX6VuMoTi7hKeKyo/D8zex2enuN8qIoXc51s\nOWck5ecSNh0xKITWmsMu1h8OknLQh25fMbof9Ogul5KSEUF3IcJtxxxsOVDE5g/ySX0zF907ueg+\nEmB0iUpY2HjYr1rMIq4phwOkHAqx5ls/KV+WsOWD82zafYl17+eS8pGZlE8d3PKJlVs+1nP754V8\nlRmismmQWSE43XRINTs910+X5LdOuxS28PoqslBhCwkyMSfmGjc9vVZaWkuorc+nsk5aZQWqXTx7\nLcjicoSlFaExaUhBEVchNQn+UKraidkwXT02RoZ9LCsucBndQz46ez10dbvp7XMyNOZlfCHC5Jw4\nZ3109mtz1dkFebxk5XpDXG/sh9aztFzJ2GSEtg4n3T0ephXkIUx3t7RMA8rVOjIixp+IymKdnCqj\nv08C0wPqj/bikjyePJYIq5xaxZoUW2n3joxFGRgSgZYZq4ijmIFamJ6SilMDGogrWGLKOjs9NDRY\nSSSKaG11qkptSsxJsns5X8/iUj2LyzUsX9Pi4aanBCNYqvjBIopSyf21sN58ympLDcMjIsbyu5Hq\nVlq0svoie6FNqqLUwsU1alJ9vbS03SoLta9PRLWS4WH5GFGvOymunR1hhQSsbbJTV11CXyCPwcs/\n0fHWC3S9/wqDZ79lJJzP2HCUcUESDoSprrJQXSuEoyhjU6uz1jHN0DQkVfREXIEbJJCgImGkttFO\n91CInpEwPcPCRY4oB7aIq/ZvJRhFh4p/a2y3qpn74LCYzSIqmH5sJsrYmPCW/fQK57m5hMamIoaG\nvEyMBxUMpHfQpfaZ22StpllPJJFBIH6ZmpY8Wnr1qlpt7dXT1FlAS08xDZ1FBGKXcYbPE6rPItaW\nQ6LjKlXdOdT05lPZlU+kKQdH7CKW6AVc9ZmE2vOp6NZT2V1CvKOQUGuREteiyCVKytPxdljwddtx\ntBqx1hUrcXU3GvE0mzDWFFBQla/g/NlVBjLjei5Fi7kU01Pc4sTU5SG30cKFSgNHo8X8FC3hqOy4\nRgo5ESniZIUIa4Dz7RGO17jZ7ypQYrqnrJQvQja+8Jew12vi24Cd7ys9/FDn53BNkC8DTt6zWngv\nEGS3VKvBALs9bt63O/jQaeMvPhufBOx8HHDyusPFC3Yfr0bKeTUWU+all4IRXvWX8bI7xAsWNy/m\nFvF8Vj5PFpl50laqxPRpmbGuwv3l6ycjlTwuMXVmFw8WWvl9ro0/5trZVWBnV5GNB40uHnNGedRb\nxQOeSh6S9rHBqVrF2zI93F0U4V5TgjuLEtwlM9fiKPfmB7grw8EfLunZdaGI7eeNqtrcWhxlq0Hm\ns3G2ibAmxVXg/gVx7skKc9tpKxtPOFl7ppw1p8pYd8zL5mM27pSWcoabO/NDar57e0aQ1BNGUk7a\n2Sjmp/MhJagqik4qWAFNKEOTiKuXtUcMbDxQrMH8DxSx8VAxm46aOOCopG90muv/8njQ//shuiad\n2H+2G/u3x68SVzmkLRyNRikvL/+n2ItjM7PkhxP8pbiU3+dFueO8hzt+0rPpsIUNh9ysORxk7aFS\nUg6aSP3JiO6cE92VEDpJvL8QYdNxN3d8U8wdH10l9Y1MUnZfRbevgPUHTUqcNxxOtoe1FnHK4TC6\nfRZSP7nCbR9d4o6PM7n1k2JSPrUqgV33iY1bPjHw+wNmvrjkp7Jl8JfXKlc2szNTTEy1MzYXZm65\nVK3NoOLexJwkwihrNOUsr0SZXQ4wOOlQV/0VMj9NCHzfSveIm4FxF9MLgZvawavVq6TazGrzUVk/\nGZ8RfrAA+asU4GFuOc7UUplqQw9M+ugYctHSaaOpyUxtk4GmLstq5SpC9/fBDivXaxWyUVYuxPg0\npVqz0mbV8HzSqp2W2ai0SkcjdA15aWwTc4tZtRQ7hzzMLcrrTZqRkiSipMhq0IK+0XLFy124OaP0\nugAUpO3SrghGSTi8QBt6e4Us5KO7WwvU1iD1QS0fdDiiic6U5rgd6A/S2elS6D3h415Xz/238H3t\nc4VIXKllcCjG6Ii0um/Et0m1K23Z69e1fVf5noDyW1vF2BNTv4+bW8E3TgHlS6xbhbpAEIygSokZ\nLWdG9mDPHKT347dpf+dl+q/8xHiTm5GBML0DQZplTabDxdR0lPmFKtXSVa5imQHPVKtTHksuOoQl\nLNzkmdkYi8sSDp9kMUubWuayDau/jzDdPaWMTkdUCtH8YpzpGYFAhDU84WCIhha7GjMk6opWjXMC\nAvExPhZkdKKU/nFZsbFT12ogXHGZUOK8avPKqKGt30TXsEmFTjR3yyghk2DsCsGKTKo6i6kbMFLb\nb6Cqu5h4Wx5lTdmE6jPx11wh2JBFeU8J4U7ZVc0n0FpEvM9AxaBJtYVt1fnoy3MxJQqw1BbjaDHg\n6bDg77ETH3MRHrCRHcnhnCeT9PI8rlYWkVttoLDFgb7Hj2kghKHHT26djXORIr53ZXKkNEcl3pyq\nMJNW6+ByZ5grPTEutJRxPOHigLuQLxzFfOoys9dr4GDIyMGEmyN1IY62lvNjXZgDETefBhzsFoEN\nBdgdCvKex8b7dhMf2ex8ESjl6+qoQibudpl40+vm1UCIF4MxXpI2cCLBK5EIz7s8vGSx8ZrByOsl\n+bxqLOYFT5Cng9IGjvNUMM5z8lFyXiVIPV7HsyK4BgcPZRu4P8PIn3PMyvz0sKuMx/zVPBaQfNgK\nHgvV8bAzxgOFIq5ulYpzp1SppgT3mCrZXhxl+1Uvv89y8udcBztzbezMtfOHXC/35IXYlh9TIixt\nYGkHq7ZwyWpbOLeMbVf8bD3v4rbTHlKOh0k94eGOMya2nHewLT2oqtt7DTVsK6xka6ZfZcXqzthZ\nkxZUM1ZpIa85H7+xiqOYxGHWnXaTctSI7sBVdPuzSTkq9KdSbjvv5edwM0vL/zpx+0cP+fsu81ZB\nH/7H2sJyCF/40qVLXLx48TeHpssxPTdHaXUdh51lPFAU586rIe6+5GLLcTObDptZf9jD2kOSTG8h\nVdzCp6xsPO9TvXvhYaoK9riD2/cXs/m9q2x6NxPd59msP2Bk7REv64+IMUpzDuuOaPzijd/YSPky\nj81fZXHHnixu/TIf3ed6Uj+1seETO7/72Mr6jwz8fo+RE/o4LT1DaHm9KwwMddDeG6V31MX4rJOl\nlVKuozGCrxFWLWL5XFq/srM6MuOirceowOWtrWa6ZT9QyEejdiWwY5N+pueCzC+FWVkp59qyMF0D\nDI2UMjQuMXQaZSnp4L1OjeLviilqaiHM0ERQ5anW1empqdfT2GZhaDiowsBnZyuYX6hg8VqSDawJ\n7cr1SkYmgvSLS3Q+xqJKnbkBVJD54tJSpaL1TM0kVPRbS4eDWFxPXaOFniGfwhlOz1Uo6ICkvohA\niAlJCEryh39hsY4+qUyHy1hWs9NkFFoyJk2rHOX7IsTSmh0ZiTEwEGNsTB6vRlWuIjhyjo7HGZa1\nk1UR6miXtq2Frj7fqkmqiulVgH3yFNGWPdHxOcEtltM3IOIqBqwbUAntdWjz0KQoS/qLCPzEhPze\nV01L6nZ/TVmSU+a5KhlmMsbiUp2WMjOeYCFSzNjpb+l+5yUGD37KhOkiQzUWbU93MMDYZBlLyyL0\nDSpiTwxUAuEX5OHSYq1qPYuTWHZbBQO5tCit78pfziWJdluSGXiCToHmd3i0244HmRFm9ExEpRMN\nSxi57LoO+KlvtBCJF1DdbKCtz0pnn5XefkEeehSNq2/MTmOXnni9uIMzqGzMpLmniPYBPa19JXQN\n6+kb01PfnkukMp1Q/ArRmiwlrrV9Bup69NT36anpLaKsIQtf/CI+aQfXXyXaVUxZt4FAm56yXiOJ\nERPlPXr8jYUYYzkUR3OxVBfhajHg77EQGnQSHnQrYXU2F3PJk8kZZyYZFUXkNZgobrVrhqb+ACV9\nfvJanFwIFnLSnc3Ppbn8HC3hZLWdM/VuzrWUcrk3yuWecs7VBfgpaGKPWYD9uezxmfk2ZOX7mJMf\nav381FTGz60xvq8Nsj9k52Ofmbe9Ft5xO9jtcvG+y8xHHjNfBFzsiYf4ujbGp2EP7zkMvOFx87I/\nwvPBBM8HY7wcCPGK180rDgtv2K28ZbPylqmY1ywGnvOFeCqY4MlVcX1m9eOT0h6OVvO0r4zHc/Q8\nfKWAndkmdpU4eNDh5yFfBY8E6rRAgFCCRwI1PCjIxHwXv8/1KGPSnfqYNmMtDnFfnpffZ9r5U66L\nXfpSdhV7ub/Arb5/d26ArXnlaj4rBqa7xFEsazpiaCqOsy2njC2XSrn9tI3bjlvZfNzFHaftbLtg\nY2tGKdtyy7m7uJp79LVKXLdk+rnjjJGNp53KRSzmJfk7vf68rOHE2XC6XFvHkUD14xZ0R3LQHbpK\nyg/FrE8LsOFSGVsvBTgVlYvef/8h404RV2kN/0crV8Efvvvuu7zzzjtqCPxbj4WlRVp7e7gSreax\nohB3F5Ypq/ldl63c8VM+m45IiK5TG3p/Z0B31Mj60041XJd/OMkd1F2MsOmomy1fFHH7+5kKNKH7\n0kTKkaASWKlgVVtYjE2SvPOtVSXopH5bhO5QHrpv8tDtKUD3mR7dJxZ0nzpZ86GNNe8beehAMd9n\nO+kenJBfP43t5ZTXGpRZo2tIz8SCa9URLKIqZ1BxgqWClXNwzKnWF0aGXczPB1mYDzE9K3unLrUr\nWNdmpLXPor6ekQDzOVkhcTMw4GZ0VHJJZeZ5Ezzif1uTqVPB1K2tkmVqprXVoU5xjUpFJX9Ypcpd\nUDFyWptYRHxk1KOt5MyIGUgeT/6D/ls2cPKsV9AGyeXs7PAwNi5h6RHa+wMKJZhcfZH5p6x8yB6t\nmKYGBrRoNG1uKoJ08xrLjc+lEtQgCho2ULu99vPkuszN5iS5XUuLm3hMLlhc9A+E6BgI0tEf/KtV\nHGmzymtt6/EpxF9XTxmjIzJvTpql/rZ93Kbaw/Ja5P43dmFFfJNZqcnXrVXFU1NVau4pcP3kShEr\nrTBTzWIwj/HDnzL++VuMH/yIQeNFBpvdTIuwKqBGstpPriZpRi25QBkZkZlqQLV9k79XmTELOGNS\nmL9jAbqHPNS2WwhVFBBNFFFXZ6Sz08bAgJabKq5wuf2YhNjLOlaLRd2mo9dG37iDjiEzrT1G9d9n\nR5dZtX4rGrMIJc4pc1L7gJG2/kLa+vNo68+nfbCA9oF8KhqzCcYzKKtKV+s2sdY8KtrytdnsQAlt\n40ai9Zk4AmeVQ9hVmYm/OZfyXj21Yw5qp6UiNeKuy0XvTyfPd4XiWA6+LhvRERfxcSflY24CfQ7M\n1QVkl6Zz3n6Z8/4ccppsFPf4MPYHKen2kd/mJKfFxqVEET+WnOcH0xXOVFk51+wjrTWgclvlPNcR\nJq3Zz8lyG4fsuXyWn8YeWzaH404O1/g5Uhfk57ogR+tDfF8f4mCVl/1hE39xFvG6MZ+39MW8bzbx\nkcfGF1E3e2sC7KkN8WkixF8CDt5zGnnF4eY5d4Tnggme84V5zmzhVbOe9xxG3i91854/wNs2K68Y\nzTxh9/GEp4znA3E1a1WZryER5ThPlkZ51OTmsQvZPHwph50ldh5yBdVtHvQk2OWK86g/zqOBOLvc\nCXaaw+wscLE9z8PW/BB3CybRUM72qzZ+n2FUqzo7DQF2OmIayzjPyT2ZdrZketiaG2Vr/urqjVSu\nyVWcvDjbsqPccdFL6g/FbPohny1nDGy96GBrRlDBJdR9VBs5wbbCCm5P95N63Mj6Ex5tTedcRK3f\npJyLsfGM4A5DrD0VJiUthO6HAnT70tD9XMDG815+dyXK2itR7r7o52yZXOD/rVL89x5Jk67st0rh\n+B8V166uLp577jleeOEFNXf9rcf16yvML8zhbuniZWOI7QVhtYt1d36Au6/Y2XLcwq0Cd95nIuWA\nHt0PRWw85WT9pTI2ZkTRZZapmKRUcRH/aOH2Pbnc9kE6t36uR/ednw2H/aw/IlAJ7ZTUHQFTqODe\nQyZSfjaR8oOR1O/0bN5TxGZVwVpZ9xc7az6wsumjPB4/nEu6M05FcwPVTS6aOoz0DFjoHTbTPWqm\nb8LK0LSTyVkPc0ulqwhEbQY7NOmkrdvI6JSPZcR1Wq7MR7MLEtRdyuCoh94R52ol66BvUPYUi2hq\nMjA64WdxWcRVnLnJZJubT01oZ6ZD9HRbGRyQRBOZr0UYHQkzOhpmeFwCx/0MjQfUTFWSZiYnw3R1\n2unpdiqEoCYKSZjDze3kJKqwTt1PwO0iWAvSipRsT4E5TMVUlqcCGQhMfirG4GCpIjm1NFvVLFXM\nSUtLwhmW1Zub28haBShCl9zd1GanyZ8loQ5axSj83KXFJiVk/YNhWrsCihGsjEBTtYxO1SrQhFS8\n8pzi+pW2bXObl5p6u4pTk5BxgTjIbTSgQzWTk1IlS2h5QsWqdXYGaGmR5BltXjw728TUlDzvjWxT\nFfU2qyEMGxsdqoUtlbtU7POLDerjdION4cyfGNjzHr3vvkj7wU/oyDnGSHk+Ux1upnojTI/GmZqW\nPVdt5joxEWVoKKCCC+rrbfT0+Bkeln9LiZ0ToQyotarRqYiCPrR12aioKaSx1czAiI/hcR/DYwLr\n9zI05FPfE9hDXVMR1fUF1DcV0ztoY2zKzeCYXa2IDYxY6ew3U9deTHllBpHyC9S35dI1bKBnpITe\n0RJ6Ropp7y+grj2bYOIynvBFKpqzaewvpL6/mIa+Ypq7imnsLKKqLR9v4gqWyCX8DfmUdxtI9Juo\nGDCRGDAR7Tfg7yzCWJ5FoT8Da00xvg4boQEXkSGXcgr7us3YW/QY4rnkh66SWZZPVo2ZYlWtBinp\n9ZPf4lLfy6wq4WI0n+PWTI57Ckhr8HKxu4zLvTEuKlH1qRzX4xVWfnIXcNCazV5HLgdCJo7U+Pih\nKchPzSF+agjxU32InxsjHIo52WPL5wNjLm+ZC3nPYeYjn5svygN8XRlif3WQfTUhvqoK8he/g7es\nJl51e3nJF+IlVykv2528ZjfzltvC7oCDj6Ih/lIW5U27nReMZp5xBXiqtFxVq0+Hqng6VMNTvnKe\ncvp51ubh2RITj6df5ZHcQh52+XkkUK5Vqv44D3ljPOiN85AvzkOlCR60BNgpoIkcN3cVhLg33899\neW7+kOvgTwVOdur9POiI8rDc1lrKzjwrO7I93JUdZmtuTFWuCo+ocIdx7pS/v0VxtmV52XLWyJYf\n8th6tIitV9zclRPinoKomsmKKN+lIBUxtuVG2XK5lNtO29h4ulTB+demxVifVsb6c5KaU8a602E2\nnvSz+aSTLT8XsvXHq2w+a2ZjepC1mXF06eX8Md3PxfJ/r7gm2Q0irOIlkgr2t6+X/u/HPyyu8qQy\nY5VZ6zPPPMMbb7yhOMP/7FE3NM7H9jL+nBdUV0N3GSrZoY+pWKQ7fjCw6YBRMzUdzEN3yqFVrEpY\nQ0pcU9LLSbno49Yf9Wz9PIPbPpcrI6cS2GTFKmfK4SCp33q07FfJHZQYpZNuNh21s+W7Iu7YU0Dq\nZ3pSPrGpCnbtR4Xc+nkGz/+Uz08FegJVevqH7KoKHZ/yKHxhS59BzaQUgWnKrYD9SQC/zFzlNiOz\nfhX/pq3O3Ax/SDCzEFRkpq4RC42dJYQjmcQr8hic9Kn2r6zZiJhqazHJ+ayWfSqfT0/LfNCpqtAb\nc1DZn6xUnFjB2HX1eRXgQVqNYoSR/VNJQRFGr1rVUZhD2VsVYUuaoYRd26SADmoGOyGAefl+cp6p\nrd5IG1kzA9Uq566sg9TUGKip0dPcbFPOVtm3lCp8aUngDRqpSXsuiYZr0NZiRstX4fPJylbENYkm\nlLNfsXcls3VqroLJhXqWfgH1S2WZvK32uPJY0h4WU1K9ipfzq3arGIiE06tVuPJRwP8RJWQNDS6q\na+zU1Tnp6pY1nDjDw4IulPWZ1Vi3cflcu7/GQTbR1eVXoq1+LqszUxWMdJUyUJpD109f0/rqs9S/\n9BgNn7xCd/oRBlwZ9JcV09/kVI/T1SNuaadySkvoezhcoPjKqvsg+a79Ekwgjt8Q4+LanosxPhFm\noN+lKk+5SJsnzvS1MsbmgkxMSmZvgK5BN9UtelVpSgu3oaOA/iEzE+NOxsecTEw5Vfela9hMvC6f\naDyLiopMGttz6BgqoHdMz8CESZ2tvYWqXeyNnMcTOU9NdwEdU2baJoy0j5poHzRR01xAIJaBJXoF\nS9VVYv1mGqfc1E+4qBw0K1OTrykPZ60YmTIpKssm1OcmMRlS4ipuYWebEUtTkdptNSbyMFQUUtBs\no7DLq4ARJT2l5Lc6uFpjURjEzHgh6bECzgf1nI3ZSWsJcLEnSkZfjIutfs7W2DlRaebncDFHzJkc\ntudxOObgcE0ph6VibQlxtC3I9w1Bvq8LcqwhxOGglc8KMvigOEeD+ke8fF4Z4eu6GPsVaCLE/qog\n++o0cZV56mseD6/7/bxutvCWRRzGDt6P+tgdD/FxRYxPyst5zW7nWZOF50sjPCOtXeUOrub5QC1P\n2kM8YbCryvZVfQlP5ufzqNGi5cGGtds+HkpWrHEecCd4VATX5mdnppE/ZjnZkRdge5aN+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7jXwctvBZ2s3JGj9f1wX5piGsIjyfpDy86zbwhtfJq5Eof8ukeDOT4o1IhNd9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Q4m8pImlGROIhRLKVaXutncH2T3tchHgHdtu5d5GUF3WVlJGtkNNbD65DLzXx5l7qtjFL88wuyZ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W3bypw3XyX26PmyC8gLgFa8oTJMzi1YI4V4MmVqf9aXrsIRrCKSkM7De4fMWmW/1WyW//fs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\nuXem0MxH7URnmhnu7KG13cJcICleSRoZJoNknSNYrRYGn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        },
        "images/06-gradient-descent/slide06_pic1_Stochastic_gradient_descent_SGD_merely_uses_one_sample_in_th.png": {
          "image/png": 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OE/DdYQjpAO9Oh2pinQi3f8HcjPHKvS4gejknNhIWzofR09QJvv5Qtx64O4Mt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\ns7gzWhOpFgjKKzLhfeWdlElvQHT6GPO+OcW8OhJq1/VbETZ/WPOK8e4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Wrlhhb8oKzYis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\nAAAAAElFTkSuQmCC\n"
        }
      },
      "id": "48e383c1-dd9a-4a07-933d-ddc71ce84e1f"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(100,)"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Oh6hcYaJDRFSCDh48iP/7v/+DUqnEpk2bUKlSJblDIipXmOgQEZWQqKgoDBs2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\n1UeLaQa2fuMAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "import numpy as np\n",
        "import scipy.stats\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Create simple logistic data\n",
        "rng = np.random.RandomState(0)\n",
        "n_samples = 100\n",
        "x = 2*(rng.rand(n_samples)-0.5)\n",
        "\n",
        "theta_true = 5\n",
        "# Very simplified logistic regression model with only 1 parameter\n",
        "def model(x, theta):\n",
        "    return 1 / (1 + np.exp(-x.dot(theta)))\n",
        "y = (rng.rand(*x.shape) <= model(x, theta_true)).astype(float)\n",
        "print(y.shape)\n",
        "# Plot data\n",
        "xq = np.linspace(np.min(x), np.max(x))\n",
        "plt.plot(xq, model(xq, theta_true), '--k', label='True Pr(y=1)')\n",
        "plt.scatter(x, y, c=y, cmap='rainbow', label='Data')\n",
        "plt.legend()"
      ],
      "id": "6ae532e3"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Define the Logistic Loss (Negative Log-Likelihood)"
      ],
      "id": "95eeed89-20f4-4b4b-b350-1c8ca032e69c"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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LjUYDtVrdajMFAz1b+g3ViVwJERGReDRaHZ7amYGvfy6Ek50NEhdEYox/L7HL6pTBYcjY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\n/v+Eg0oAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "def objective(x, y, theta):\n",
        "    prob = model(x, theta)\n",
        "    return -np.mean(y * np.log(prob) + (1-y) * np.log(1 - prob))\n",
        "\n",
        "theta_arr = np.linspace(0, 20)\n",
        "obj_arr = [objective(x, y, theta) for theta in theta_arr]\n",
        "plt.plot(theta_arr, obj_arr)"
      ],
      "id": "288f5dab"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### NOTE: Because of randomness, empirical estimate will not exactly match true model. (e.g., this has a minimum closer to 5.3 or so\n",
        "\n",
        "## Explicitly compute (by hand) the gradient of the function"
      ],
      "id": "f77f4ff1-5421-4686-a13f-0742af86fb8a"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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skoiIyMdwOALyCKeqtLhnVR5qG4y4aWA0Xpw0CBKJi+49N3y4az6HiIjcHoMT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\nERERkZ0YnIiIiIjsxOBEREREZKf/B3YTXQd93ZE8AAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "def grad_objective(x, y, theta):\n",
        "    #See https://web.stanford.edu/~jurafsky/slp3/5.pdf\n",
        "    return np.mean((model(x, theta) - y) * x)\n",
        "\n",
        "grad_arr = [grad_objective(x, y, theta) for theta in theta_arr]\n",
        "plt.plot(theta_arr, grad_arr, label='Derivative')\n",
        "plt.axvline(5, linestyle='--', color='r', label='True Theta')\n",
        "plt.legend()"
      ],
      "id": "044644a1"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Gradient Descent with various step sizes"
      ],
      "id": "a1c4102f-ab8d-4eef-896b-0bd0656cf1f6"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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/dvyGo9HA1Adv5qGYYFuXJVIpjBU9YOrUqdSrVw93d3d69uxJWlpamW3j4+MJ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\nxXXegOPjAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "# Gradient descent parameters\n",
        "max_iter = 5\n",
        "step_size = 10\n",
        "sgd = False\n",
        "if sgd: max_iter *= 10 # Increase number of iterations for SGD\n",
        "rng = np.random.RandomState(0)\n",
        "\n",
        "# Initialization\n",
        "theta_hat = 10.2 # An arbitrary starting value\n",
        "theta_hat_arr = [theta_hat]\n",
        "obj_hat_arr = [objective(x, y, theta_hat)]\n",
        "\n",
        "# Gradient descent iterations\n",
        "for it in range(max_iter):\n",
        "    if sgd:\n",
        "        # Select random data point\n",
        "        rand_idx = rng.randint(len(y))\n",
        "        xg, yg = x[rand_idx:rand_idx+1], y[rand_idx:rand_idx+1]\n",
        "    else:\n",
        "        # Use all data points in gradient calculation\n",
        "        xg, yg = x, y\n",
        "    grad = grad_objective(xg, yg, theta_hat)\n",
        "    theta_hat = theta_hat - step_size * grad\n",
        "    \n",
        "    # Save estimates for visualization\n",
        "    theta_hat_arr.append(theta_hat)\n",
        "    obj_hat_arr.append(objective(x, y, theta_hat))\n",
        "\n",
        "vis_arr = np.linspace(np.minimum(np.min(theta_hat_arr), theta_true), np.maximum(np.max(theta_hat_arr), theta_true))\n",
        "plt.plot(vis_arr, [objective(x, y, theta) for theta in vis_arr], label='Objective') \n",
        "plt.plot(theta_hat_arr, obj_hat_arr, 'o-', label='Gradient steps')\n",
        "plt.plot(np.ones(2)*theta_true, plt.ylim(), label='True value')\n",
        "plt.legend()"
      ],
      "id": "b16e63c5"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Gradient Descent with various step sizes"
      ],
      "id": "550016db-f8d7-4258-9cce-6ba10c12836a"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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FndHAO4/VoGMtf1tXKgWUwpCIiORflw5bWoRunAf/etBtKRmOxXhp6R6W7zyH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\n2WefZdy4cdY70AYPHoyzc/Y3kQwbNozGjRszatQounbtitl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EiRJcunTJRhXdPoWhW3jw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\n"
          }
        }
      ],
      "source": [
        "# Gradient descent parameters\n",
        "max_iter = 5\n",
        "step_size = 100\n",
        "sgd = False \n",
        "if sgd: max_iter *= 10 # Increase number of iterations for SGD\n",
        "rng = np.random.RandomState(0)\n",
        "\n",
        "# Initialization\n",
        "theta_hat = 10.2 # An arbitrary starting value\n",
        "theta_hat_arr = [theta_hat]\n",
        "obj_hat_arr = [objective(x, y, theta_hat)]\n",
        "\n",
        "# Gradient descent iterations\n",
        "for it in range(max_iter):\n",
        "    if sgd:\n",
        "        # Select random data point\n",
        "        rand_idx = rng.randint(len(y))\n",
        "        xg, yg = x[rand_idx:rand_idx+1], y[rand_idx:rand_idx+1]\n",
        "    else:\n",
        "        # Use all data points in gradient calculation\n",
        "        xg, yg = x, y\n",
        "    grad = grad_objective(xg, yg, theta_hat)\n",
        "    theta_hat = theta_hat - step_size * grad\n",
        "    \n",
        "    # Save estimates for visualization\n",
        "    theta_hat_arr.append(theta_hat)\n",
        "    obj_hat_arr.append(objective(x, y, theta_hat))\n",
        "\n",
        "vis_arr = np.linspace(np.minimum(np.min(theta_hat_arr), theta_true), np.maximum(np.max(theta_hat_arr), theta_true))\n",
        "plt.plot(vis_arr, [objective(x, y, theta) for theta in vis_arr], label='Objective') \n",
        "plt.plot(theta_hat_arr, obj_hat_arr, 'o-', label='Gradient steps')\n",
        "plt.plot(np.ones(2)*theta_true, plt.ylim(), label='True value')\n",
        "plt.legend()"
      ],
      "id": "5d48713a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Gradient Descent with various step sizes"
      ],
      "id": "a314638d-db08-415d-9949-f48eaf3bb237"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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K14P3u9eQJfQmQMKQEEIUJREX1cToUyvTQpBV2nDY6+Ba3tityxvaFPj3XTjw\ngzqu2Qu6fQO2TkZtVrJWx6hlhwkOj8evlDOzX6qDlSyhNwkShoQQoiiIuAg7P4NTKzJCUJ0BKgQV\ncO2tfBVzQ60Wu35Q9XY9+zE0GA5G7n0xGAxMXX2K/cGqCv2CwQ1wliX0JkPCkBBCFGaRl1QIOvn7\nfSGoP7SYVLhCEEDwdlg1DBIioFhZ6L0YyjUwdqsA+Orf8/xx7AYONpYsGNyAMq5Shd6USBgSQojC\nKPIS7Pw8LQTp7gtBr4NbBWO3Lm/p9bDnK9g6QwU+n9bQcz44uhu7ZQCsOHSNb7dexEID379Ul5pl\npQq9qZEwJIQQhcmdYBWCTvymQpDGMmM4rHghXLWUGAV/vALnN6njlm9A66lgYWncdqXZdSGct/44\nBcAHz9WkjZ+nkVsksiJhSAghCoM7wbDzCzix/L4QlDYcVhhDEMCtk6rafFQI2LlCj5/B9xljtypd\n4O27vLLsKFq9gVGtfOjfuJANSxYiEoaEEMKc3bkMuz6H4/eFoID+0PJ1KO5j7Nbln6NLYeMk0CZB\naX/os8T4w3+JURAfAY7u3E6xZ8jCQ8Qla+lSuzRTnvEzbtvEI0kYEkIIcxQVkjYctlyVl9BYQkA/\nNRxWopKxW5d/UhNh42Q4tlQd1x0EnT4FazvjtSnyklrKH7QRDHoMGgsuWTXCJq439b2r8UVvfyws\nZC8hUyZhSAghzMlDIcgC/F+ClpMKdwgC1Qu2YiDcPglWdtDlS6jTz7htirwEc9tASryavA1oDHoa\nphxgve1JdN22YmdtGvOXRPYkDAkhhDmIupI2HPbrfSHof9BycuEPQQBBf8MfIyEpBtwqqmGx0rWN\n3SrYMl0FIb0202lrjR4rTTKaPTOg7zIjNU7klIQhIYQwZdFXVU/Q8V8yQlDtF6HVG0UjBOl1sG0m\n7PpCHVftDM//APauRm0WoOYIBW5I7xF6kMaghcCN6jp7twJunMgNCUNCCGGKoq+qAHDsF9CnpoWg\nvmrpuHtlY7euYMSFw+phcHmHev/t3oWm48HCREpYxEdkG4TSGXTqOglDJk3CkBBCmJLoa2khaFlG\nCKrVR/UEuVcxdusKzrWDsGIQxN4ERw/otQAqtjR2qzKkJKj6bo+jsTSZzR9F9iQMCSGEKYi+Bru/\nVEvG9amABmr1Vj1BRq60XqAMBjj4M2x+Sw0LlmsEvRdBsTLGbpmiTYGji1WJk7hQAPRAln1VFlZQ\ntZP0CpkBCUNCCGFMMddh15dwdElGCKrZS/UEeVQ1dusKVnIcrHsVTq9Wx41HQ4cPwNIECprqdaq0\nyfaP1RAmkFoygI8jWzA+dT5OmmQs0WVcb2EFNo7Q/n0jNVjkhoQhIYQwhpgbaT1BS0CXQpEOQQDh\nQfD7AIgIAhsn6P4d1Oxh7Fapnqpz61Tds4ggdc7Dj8Tmb9JjW3HOxcVyu4w/33mshfNqnyE0lqpH\nqP37RWOSeyEgYUgIIQpSzA3Y/ZUaakkPQT3VcJhnEd2l+PQa+HMspMaDhx/0WWr8oUGDAYK3wX8f\nwM1j6pxreWj9Fqk1ejFyyVHO3Y6gorsjM4Z1wNKxd6YdqGVozLxIGBJCiIJw96YKQUcWZYSgGj1U\nT5BnNWO3zji0KWrn5gM/qOOavaDbN2DrZNx2XT0AWz+EkF3q2Kmk2s+p7iAMltZMXXmSXRcicHey\nYfGQhhR3tFHX2btJCDJTEoaEECI/3b0Ju79OC0HJ6lyNF1RPUMnqxmyZcd29CSsHw7UDYGENz3wE\nDUeAxohlK26fUsNh5/9Wx3au0HwiNBwJNg4AfPVPEKuPXsfe2pL5gxpQvoSD8dor8oyEISGEyA93\nb93XE5QWgqo/D62mFO0QBBC8A1YNhYQIcC4DfRZDuYbGa0/kJdj2EZxepY6tHaHJaGgyNtPmjr8d\nvMq3Wy9ioYHZL9XBv5xrlrcT5kfCkBBC5KXY2yoEHV54Xwh6Li0E1TBu24xNr4c9X6shKIMefFpD\nz/nG24cn5gbs+ETt6WTQgaUNNBgOzV8DJ49Ml24LDGPa2tMAfPh8TdpVK2mMFot8ImFICCHyQuzt\ntOGwhaBNUueqdYfWUyUEASRGw9pXVGV3UHNwWr8JFkYoYhofoQLrwbkqsGosoc4AFVhdyz10+anr\nMYz59Sg6vYExbSrRr5F3wbdZ5CsJQ0II8TRiQ1Vvx+EF94WgbtBqKpSqadSmmYxbJ2HFAIgKATsX\n6DEXfJ8p+HYkxcC+79WflDh1rkYPaPNWtrt7X41MYMiiQySk6OhRpyyTOhbBbQ+KAAlDQgjxJGJD\nYc83cHh+Rgjy66p6gkrVMm7bTMmxZbDhdfUxKlUb+i4FtwoF24bURLWr9e6v1PJ3gCodoe07j6x8\nHxmXzKCFB4mIS6ZZ5RLM6lkbjTEneIt8I2FICCFyIy5MhaBD80GbqM75dVVDLI/4wVrkpCbBpslq\nU0mAugOh02dgbVdwbdClqtff+RnE3lLnyjdVBV+9mzzyqQkpWoYuPszliHiqly7Gj/3rYWNlIgVi\nRZ6TMCSEEDmRVQiq2gVaT4HS/sZtm6mJCoEVA+HWCbCygy5fQJ3+Bff6ep0q6bFtpmoLqM9Ru3eh\nUrvHLt/X6vSM+/UYJ65FU9bVnkVDGuBsZwIlQUS+kTAkhBCPEhcOe7+Bg/Myh6BWb0CZAKM2zSSd\n3wxrRqj5OW4V1G7SBdVjZjCoCdpbZ0DYWXXO3RfaTFMr+nIwxGUwGJj2x2n+CwzD1cGaJcMa4lms\nAHuzhFFIGBJCiKzEhcPeb+HQPEhNUOeqdlbDYRKCHqbXqb16dn2ujn07wQs/ZtqnJ18Fb1elM24c\nUccu5dRqtdp9wTLnP+q+2nKB3w9fw87agvmDGlDJw8i7YYsCIWFICCHuFx+hQtDBuRkhyLeTGg4r\nU8e4bTNV8RFqE8XLO0BjoSYmN5sAFgUwx+b6YRWCLu9Qx44eatl+vcFgZZurW/1y4Arf/ncBCw18\n97+61POW0hpFhYQhIYSAtBD0XVoIilfnfJ9VPUFl6xq3babs2iFYOQju3lBBpNcCqNgy/1839Kwa\nDgvaoI7tXKDZeGj0Mtg45vp2/54N5Z20TRVnvlCLDtVlU8WiRMKQEKJoi4+8rycoLQRVeUb1BJWt\nZ9y2mTKDQX3MNr8F+lQo1wh6L4JiZfL3de8Ew/ZZcHIFYABrB2j8CjQd98RFUo9ciWLc8qPoDTC+\nXRX+17B83rZZmDwJQ0KIoik+EvZ9Bwd+vi8EdVSbJXpJCHqk5DhY96pasQXQeDR0+AAs83HF1d2b\naon80SWg16rirvWHQovXwfnJe3EuhsUxbPEhklL1vNigHBPaZ735oijcJAwJIYqWhDtpw2E/Z+xC\nXLmD2izRq75x22YOws/D7/0hIghsnKD7d1CzR/69XsId2P2l6oXSJqk5SQH91PCl29OVxQi9m8Sg\nBQeJTkilnZ8nM56vKZsqFlEShoQQRUPCHdg3Gw78dF8Iaq9WHEkIypnTa+Cvcerj515V7SbtkU/l\nKZJjYd8cFVxTYtW56s+pZfJ58Jp3k1IZvPAQN6ITCSjnyncv1cHKUjZVLKokDAkhCreEO6oW1YGf\nMn6oVmqnQlC5BsZtm7nQpcK/78L+Oeq4Zk/o9i3Y5sOy89REtbHl7i8hIVKdq9we2r6dZ6v5klJ1\njFh8mHO37uLj7siCwQ1wsJEfh0WZfPaFEIVTwh31w3v/j/eFoLZpIaihcdtmTu7ehJVD4Np+sLCC\nZz6ChiNztIFhruhS4fgvsP0TiL2pzpVrrHaNrtAs715Gb2DCb8c5cPkOJYvZsmRYQ4o72uTZ/YV5\nkjAkhChcEqPU8MqBHyH5rjrn00aFoPKNjNs2cxO8A1YPg/hwcC4DfRbnfZDU6+HMGlU6406wOley\nlgpBVTrkaegyGAy88+dp/j5zG2c7KxYPbYiXm0Oe3V+YLwlDQojCITEK9v+g/mQKQVOhfGPjts3c\n6PWw52vY+iEY9FCxldo/yNE9717DYFClO7Z+CKFqfx+KV4K206D6C/myYePXWy7w64Gr2Fqp3aX9\nShXL89cQ5knCkBDCvCVG3xeCYtQ5n9ZqifxjKpOLLCRGw9pXVI0vgBaToM1bYGGZd69xeZfaNfr6\nQXVczEvt6+T/Uq5KZ+TG0v1X+CZ9d+k6NKxYPF9eR5gnCUNCCPOUGK2GwvbNyQhBFVupniDvpkZt\nmtm6dVJVm4+6rHZ0fuFnqPps3t3/xhH470MI3qaOHdyh5SSoNwSs868Y6sZTt3j3T9X79NELtehY\no1S+vZYwTxKGhBDmJSlGTYre/736N6jyD62m5ulE2yLn2C+w4TW1l0+p2tBnCRSvmDf3DguEbTPg\n3Dp1bFsMmr4KjV8GW+e8eY1s7L0UwYTfjmMwwKSOvrwou0uLLEgYEkKYh6QYtTx+3+yMEFShheoJ\nqtDcuG0zZ6lJsOkNOLpYHdcZAJ0/A2v7p793VEha6Yzf1dwjK3toNFIVcXXI/2Gq0zdiGLnkCCk6\nPYObVmBMm8r5/prCPEkYEkKYtqS7acNh94Ug7+YqBFVsYdy2mbuoEDUsdusEWNlB58+h7oCnv2/s\nbdj5ORxZpOqWWVillc6YBMVKP/39c+BqZAKDFx4iLllLl9qlebdrddldWmRLwpAQwjQl3b2vJyha\nnfNuppbISwh6euc3w5qR6mPrVkENi5X2f7p7JtyBPd+oz5s2EdCA//9U6Yy8GnLLgfDYZAYsOEBE\nXDLNKpfgyz7+WFhIEBLZy/XaxVmzZlGmTBkcHBzo3r07t2/fzvbavn37Ur58eezs7PDy8mLMmDHE\nxcVluiYsLIxBgwZRokQJHBw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rUXCroHqCaveVEGTqtMnwVU2ID8s451ENun4J3k2N1y4j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\nBo3FEBERERk0FkNERERk0P4HKr0tTArxMW4AAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "# Gradient descent parameters\n",
        "max_iter = 5\n",
        "step_size = 300\n",
        "sgd = False \n",
        "if sgd: max_iter *= 10 # Increase number of iterations for SGD\n",
        "rng = np.random.RandomState(0)\n",
        "\n",
        "# Initialization\n",
        "theta_hat = 10.2 # An arbitrary starting value\n",
        "theta_hat_arr = [theta_hat]\n",
        "obj_hat_arr = [objective(x, y, theta_hat)]\n",
        "\n",
        "# Gradient descent iterations\n",
        "for it in range(max_iter):\n",
        "    if sgd:\n",
        "        # Select random data point\n",
        "        rand_idx = rng.randint(len(y))\n",
        "        xg, yg = x[rand_idx:rand_idx+1], y[rand_idx:rand_idx+1]\n",
        "    else:\n",
        "        # Use all data points in gradient calculation\n",
        "        xg, yg = x, y\n",
        "    grad = grad_objective(xg, yg, theta_hat)\n",
        "    theta_hat = theta_hat - step_size * grad\n",
        "    \n",
        "    # Save estimates for visualization\n",
        "    theta_hat_arr.append(theta_hat)\n",
        "    obj_hat_arr.append(objective(x, y, theta_hat))\n",
        "\n",
        "vis_arr = np.linspace(np.minimum(np.min(theta_hat_arr), theta_true), np.maximum(np.max(theta_hat_arr), theta_true))\n",
        "plt.plot(vis_arr, [objective(x, y, theta) for theta in vis_arr], label='Objective') \n",
        "plt.plot(theta_hat_arr, obj_hat_arr, 'o-', label='Gradient steps')\n",
        "plt.plot(np.ones(2)*theta_true, plt.ylim(), label='True value')\n",
        "plt.legend()"
      ],
      "id": "0c519177"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## SGD with various step sizes"
      ],
      "id": "1733fe3e-ac2f-48f0-9c4a-5fb878c411c1"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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sHNCCjnWCXV2dSJGlUCQiUpycPQhL/g/i/uQkwQxMHk9KQB2WD2pNnQq6w0zk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\ngP8Hr5ZgXfXIy4kAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "# Gradient descent parameters\n",
        "max_iter = 5\n",
        "step_size = 10\n",
        "sgd = True \n",
        "if sgd: max_iter *= 10 # Increase number of iterations for SGD\n",
        "rng = np.random.RandomState(0)\n",
        "\n",
        "# Initialization\n",
        "theta_hat = 10.2 # An arbitrary starting value\n",
        "theta_hat_arr = [theta_hat]\n",
        "obj_hat_arr = [objective(x, y, theta_hat)]\n",
        "\n",
        "# Gradient descent iterations\n",
        "for it in range(max_iter):\n",
        "    if sgd:\n",
        "        # Select random data point\n",
        "        rand_idx = rng.randint(len(y))\n",
        "        xg, yg = x[rand_idx:rand_idx+1], y[rand_idx:rand_idx+1]\n",
        "    else:\n",
        "        # Use all data points in gradient calculation\n",
        "        xg, yg = x, y\n",
        "    grad = grad_objective(xg, yg, theta_hat)\n",
        "    theta_hat = theta_hat - step_size * grad\n",
        "    \n",
        "    # Save estimates for visualization\n",
        "    theta_hat_arr.append(theta_hat)\n",
        "    obj_hat_arr.append(objective(x, y, theta_hat))\n",
        "\n",
        "vis_arr = np.linspace(np.minimum(np.min(theta_hat_arr), theta_true), np.maximum(np.max(theta_hat_arr), theta_true))\n",
        "plt.plot(vis_arr, [objective(x, y, theta) for theta in vis_arr], label='Objective') \n",
        "plt.plot(theta_hat_arr, obj_hat_arr, 'o-', label='Gradient steps')\n",
        "plt.plot(np.ones(2)*theta_true, plt.ylim(), label='True value')\n",
        "plt.legend()"
      ],
      "id": "41c85f25"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## SGD with various step sizes"
      ],
      "id": "f95bd85e-b054-4dae-ba0f-042339b1979f"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/var/folders/mz/ggmkx6z50yl2gddxgq3_79vr0000gq/T/ipykernel_27017/1267695649.py:3: RuntimeWarning: divide by zero encountered in log\n",
            "  return -np.mean(y * np.log(prob) + (1-y) * np.log(1 - prob))\n",
            "/var/folders/mz/ggmkx6z50yl2gddxgq3_79vr0000gq/T/ipykernel_27017/1267695649.py:3: RuntimeWarning: invalid value encountered in multiply\n",
            "  return -np.mean(y * np.log(prob) + (1-y) * np.log(1 - prob))"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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C+Oabb/J7QPJCUVlm4iQlJfHYY49x9913FzmeN7qRx83NLf9+3usXF8JK0rlzZ/bt28fc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\n"
          }
        }
      ],
      "source": [
        "# Gradient descent parameters\n",
        "max_iter = 5\n",
        "step_size = 100\n",
        "sgd = True \n",
        "if sgd: max_iter *= 10 # Increase number of iterations for SGD\n",
        "rng = np.random.RandomState(0)\n",
        "\n",
        "# Initialization\n",
        "theta_hat = 10.2 # An arbitrary starting value\n",
        "theta_hat_arr = [theta_hat]\n",
        "obj_hat_arr = [objective(x, y, theta_hat)]\n",
        "\n",
        "# Gradient descent iterations\n",
        "for it in range(max_iter):\n",
        "    if sgd:\n",
        "        # Select random data point\n",
        "        rand_idx = rng.randint(len(y))\n",
        "        xg, yg = x[rand_idx:rand_idx+1], y[rand_idx:rand_idx+1]\n",
        "    else:\n",
        "        # Use all data points in gradient calculation\n",
        "        xg, yg = x, y\n",
        "    grad = grad_objective(xg, yg, theta_hat)\n",
        "    theta_hat = theta_hat - step_size * grad\n",
        "    \n",
        "    # Save estimates for visualization\n",
        "    theta_hat_arr.append(theta_hat)\n",
        "    obj_hat_arr.append(objective(x, y, theta_hat))\n",
        "\n",
        "vis_arr = np.linspace(np.minimum(np.min(theta_hat_arr), theta_true), np.maximum(np.max(theta_hat_arr), theta_true))\n",
        "plt.plot(vis_arr, [objective(x, y, theta) for theta in vis_arr], label='Objective') \n",
        "plt.plot(theta_hat_arr, obj_hat_arr, 'o-', label='Gradient steps')\n",
        "plt.plot(np.ones(2)*theta_true, plt.ylim(), label='True value')\n",
        "plt.legend()"
      ],
      "id": "9b59f173"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## SGD with various step sizes"
      ],
      "id": "6a53cac6-5ef8-4be1-87e1-fc4e015f24d8"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {
        "output-location": "column"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/var/folders/mz/ggmkx6z50yl2gddxgq3_79vr0000gq/T/ipykernel_27017/1267695649.py:3: RuntimeWarning: divide by zero encountered in log\n",
            "  return -np.mean(y * np.log(prob) + (1-y) * np.log(1 - prob))\n",
            "/var/folders/mz/ggmkx6z50yl2gddxgq3_79vr0000gq/T/ipykernel_27017/1267695649.py:3: RuntimeWarning: invalid value encountered in multiply\n",
            "  return -np.mean(y * np.log(prob) + (1-y) * np.log(1 - prob))"
          ]
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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56S1IqtFxV+OKFriwfCJGw1PG/QghhBDC5Ew6pufw4cO0adOGsWPHMnToUFMe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\nAXG31tEAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "# Gradient descent parameters\n",
        "max_iter = 5\n",
        "step_size = 300\n",
        "sgd = True \n",
        "if sgd: max_iter *= 10 # Increase number of iterations for SGD\n",
        "rng = np.random.RandomState(0)\n",
        "\n",
        "# Initialization\n",
        "theta_hat = 10.2 # An arbitrary starting value\n",
        "theta_hat_arr = [theta_hat]\n",
        "obj_hat_arr = [objective(x, y, theta_hat)]\n",
        "\n",
        "# Gradient descent iterations\n",
        "for it in range(max_iter):\n",
        "    if sgd:\n",
        "        # Select random data point\n",
        "        rand_idx = rng.randint(len(y))\n",
        "        xg, yg = x[rand_idx:rand_idx+1], y[rand_idx:rand_idx+1]\n",
        "    else:\n",
        "        # Use all data points in gradient calculation\n",
        "        xg, yg = x, y\n",
        "    grad = grad_objective(xg, yg, theta_hat)\n",
        "    theta_hat = theta_hat - step_size * grad\n",
        "    \n",
        "    # Save estimates for visualization\n",
        "    theta_hat_arr.append(theta_hat)\n",
        "    obj_hat_arr.append(objective(x, y, theta_hat))\n",
        "\n",
        "vis_arr = np.linspace(np.minimum(np.min(theta_hat_arr), theta_true), np.maximum(np.max(theta_hat_arr), theta_true))\n",
        "plt.plot(vis_arr, [objective(x, y, theta) for theta in vis_arr], label='Objective') \n",
        "plt.plot(theta_hat_arr, obj_hat_arr, 'o-', label='Gradient steps')\n",
        "plt.plot(np.ones(2)*theta_true, plt.ylim(), label='True value')\n",
        "plt.legend()"
      ],
      "id": "2569a0ac"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## **Learning Rate / Step Size** Is Critical for Convergence and Correctness of Algorithm\n",
        "\n",
        "-   If learning rate is **too high**, the algorithm could\n",
        "    <span style=\"color:red\">diverge</span>.\n",
        "    -   Diverge means to get farther away from the solution.\n",
        "-   If learning rate **too low**, the algorithm could take a very long\n",
        "    time to converge.\n",
        "\n",
        "![](attachment:images/06-gradient-descent/slide09_pic1_Learning_rate_step_size_is_critical_for_convergence_and_corr.png)\n",
        "\n",
        "https://www.jeremyjordan.me/nn-learning-rate/\n",
        "\n",
        "## Adaptive Learning Rates May Help **(but Not Always)**\n",
        "\n",
        "-   Decreasing step size, $\\eta_{t}=\\frac{1}{t}$\n",
        "    -   Intuition: Approaches 0 but can cover an infinite distance since\n",
        "        $\\lim_{a\\rightarrow\\infty}\\sum_{t=1}^{a}\\frac{1}{t}=\\infty$\n",
        "-   ADAM - Adaptive Moment Estimation\n",
        "-   See <https://pytorch.org/docs/stable/optim.html> for more options\n",
        "\n",
        "## **Parameter Initialization** Can Be Important if Non-Convex or Step Size Incorrect\n",
        "\n",
        "-   If convex function, initial parameter $\\theta^{0}$ **will not**\n",
        "    affect final optimization result\n",
        "    $\\theta= \\text{argmin } \\mathcal{L}(\\theta)$.\n",
        "    -   Yay! (Assuming appropriate step size.)\n",
        "\n",
        "![](attachment:images/06-gradient-descent/convex_.png)\n",
        "\n",
        "-   If non-convex, starting position **WILL** affect final converged\n",
        "    $\\theta$.\n",
        "    -   Sad day. (But sometimes it’s not too bad in practice.)\n",
        "\n",
        "![](attachment:images/06-gradient-descent/non-convex_.png)"
      ],
      "attachments": {
        "images/06-gradient-descent/convex_.png": {
          "image/png": 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cjNtf9tLluz72Lb2H3p2M7vjdOOLY1kY3j24+cY6TJs59bcRcRlP0Hb+4jmvW\nUxGMqRPPc+c7AAAwCZpLj9w41s1W4tDi18dcptDMwrH9barr/ljbbe/3guU7P+K63sPu2YwLH/GG\nlXHFsZ6MVD/WzSvOdZLEOa+NmMtoir7jF9dxzXoqgjF14nnufAcAACbBTC53jzWzJtWPxDymUFfZ\n7zY7ngCr0X2qNj7k7qYY9anflXlN8N9cxLmujZh7pnQF0a5g2hU24hi6Pzvx5y+O7XabaSv6ru7L\nensT9+dM7FE83trjxtzdbref51vd70k8pzfjbO5TPN7a48bcM2F13sPmfiJWz4+p3HsAAGB72lyf\nGutlbaoviXlMmYWFV31em8u7ept/Iu700NfEh8pdGd0449ivj/Kubp5x7pMgznNtxNyNnCiWnNLH\niQLC0AJB9+cjigvrxdiKLesdf73xrhpV3D3d2OjYq4aN4XQLQ2uKfr1xbSVOdxxrxb7PxDG2ar3z\nPOatWu88GxWjXjfjNKY9H9trsrPeem11Pdbbp/X6We+4G8S25j6kn7HEqPNwPduc92psa/4AAMB0\naVJ5Y6yVzabFR8U8pkyb66vjxndx3iXPWz7wqDfFB8hdHd14u3HHuZyIV8e5T4I4x7URczcyonjU\nKwyMyN0wtlPYGGZUoSPmrjWq3TgiHi8aVsxaE7213siYCn/DYstjiYb0uRLjOge2Y721GlZMXC93\nC3Haa7ieMYztlBjXnox6fcXcUUbMr7emI3I3jK3Oe4PX7ziiN7/1jFrrrcSwcx8AANg72lQ/Hutk\nM6mcF/OYIk0qV8dN72Ju4bnLd33cW3sPjpMQ3bi78cc5ddGkenVcg90uzm9txNyNjCicnCxCnOan\nyk6J0y00jBpHzF0r5o474vGiDYpGmy74dDbo67RjqwWxKPY3rn5Px3rn+drzcZzrOu65jvM1GKPr\n92y9LqP19ulsX49GjGtcsalrwLjm3cW4z1EAAGByzBxcnIn1sTbXT8Y8pkib61OGbPpym5eWDzz6\nV3oPjZMU3fi7efTnthJPiWuxm8W5rY2Yu5ERxYyVIsQ4C2FdnG6hYVTRI+auFXPHHfF40QbruKmC\nz6oh7c9EbGlMaw3payVOd+9Px3rn+WrRb4P92VaMa75nYmzDYrMF0GG2+7qM1tuns309GjGuccWG\nr7dRa7zdiMcAAAD2hnZQHxZrY02ub455TIlz5q+8Zdzw1bjwEdf1HhYnMbp5xLmtRjf/uCa7VZzX\n2oi5GxlRzFj54Z8hf35KnPiU4KgfEerFZgstw4w6Tsxda8Q8Tzs2M58N1nLDgs+qDfqJ0c35lBi1\nfjHisTcr9rMam1mnM2W9/T/xqdFNrek2z/VtF1I7mx1bOOaWx7ka8fibNepYMXeU9fZpN1yPYrtx\nxkbnyUbzOfHfV1/jK+f0ifVafe332nQRjwMAAOwNTS4vjHWxdlCeHvOYEt0v9PU2vPvRtoe9tveg\nOMnRzSfOcSUm6BcK45zWRszdyHoFgU0UGYYWKTZbWIztNmtU3zE3igXQjca6tpAyKuJxhtmgYLWp\nPjob9bPevkQbzb2LzRbDotjP6fY3Dif2auiY4p+FWHdN1+szRmy3FbGvdWLdMa7azH53sd09GtV3\nzB1lvTUd1f+J/z50/pudd2w3TCiiro1ef2si5vZivbGvNaTfU44R84cZdu2IOQAAwN7Q5PJHsS42\nM1+/O+YxBWZzuXvc7C5u+30/HR8upyK6ecW5dtGtQ1yb3SjOZ23E3I1somgRY7MFho0KLZvqJxrV\nb8zdjFHz30wxZrOGFVzWxJbW4nTbrzVqPbuI+ZsR+1iN7RYUx2HUPg+LzY51g31djW3tz0Z70/33\nrZ6jm1yHLY931Fhj7iibHN+WxzpqfFvpZ5ghfa3EZs+hjYxak63uf2f1nB3X+AAAgMnSpCNfHeth\nK3GwfmnMZQq0ub4rbvZ5lzx3+e5PfFfvIXM64l0r84tz7tYhrs1u1J/P9RFzNzKqoBBjqwWGjQot\nMX8zRvUZczdj1Py3Ot9RNigObqngtGYNttRuPaPWdDvHGNLHSpzNItOofY6x1X3fYG9XIrbZyEZ9\nns5abtT3Nse77jkUc0c5w/u07hi7iPmbFftZM75t79Fa6417XP0DAAB7y0yqF8d6WJOr54tp1OZy\nRdzsLr7jil/sPWROU3Tzi3M+HuWKuEa7TZzL2oi5G9lskWWrBZbORsWlmL8Z6xVAttvfqPlvZ87r\n2WAttlxYHadRa7CdsQ3pYyXOZpFqgzmuHeO29nwT/W9pHUed513E/K3ayfHG3FE2Ma6V2M4+bfAa\n3NI414r9rBnjWM732O+a2NIeAQAAdNpUnxVrYU0uPxXzmHALC6/6vCaXj8bNntavdYgx7GseuvXo\n1iWu1W4S57E2Yu5GNlNk2U6BZdWoYtB2ihaj+ou5mzFq/qcz72iDgtOW12HchoxpdQ22XLiKfZxO\nX+Myap/XjO+09nvUubmVuW9wrpz2OFeNa7ydUX3F3FHO9D6NGud2X4dD+lkd55bWcD2x3zX9b3sd\nAACAvatJ5W2xFtbm+qCYx4SbSeXQkI1ePvCoN/UeMKcxunnGuXfRrUtcq90kzmNtxNyNbFRkOd3C\nwgb9b7nIMqpoE3M3Y9T4Tnfua21QyNvyOozbkDGtrsGWC1exj9Ppa1xG7fOJOO092OgYMX89G/Rz\n2uNctcFxNj3ezrhelxuN6XRfkxv0v621HdLP6ljHcr7Hftf0f1prAQAA7E1trv+vVwc7VG8d85hw\nTa4/Fzf69g/8ud7D5TRHN9+4Bt26xLXaTeIc1kbM3cioIsi4igqx3zX9b7koMq7i0qqdmH9ntxd9\nx7musf1qbGe/x2WDfR7buGLf4TibOp9iu+30sVmj9n0r5+WofmLuKBvs01jmHvtd0/+2zoPYz+n2\nF8V+18Sm9wcAAKDTDOrtYw2sTfVjMY/J9zltKp+Km33nR74xPlhOdXTzjWvQrUu3PnHBdos4h7UR\nczcyaUWWcRWXVu3E/DuKvtvb73HZwX1edx03s88bnCdb3ouNbLAum96vUfOOuaNsMJ6x7FPsd03/\nm57vWrGf0+0viv2GY4xlTQAAgL2hTfUJsQbWpPK6mMeEa3Odjxs9t3BN76FyL0Q377gW3frENdst\n4vjXRszdyKQVWcZVXFq1E/PvbFDM27AYeKaNc11j+9XYzn6Py07t8wbH2XD+o9qfifNkg+Nteu/H\ndf6MGs+49in2u6b/DfdnmNjP6fYXjVqTE8cZy7oAAADTr03llb36V6o/HPOYcG2qL44bffvLXtp7\noNwL0c07rkW3PnHNdos4/rURczcyqqAwrmLCegWh7RRF1uuri5i7GTsx/46i7/b2e1x2ap83OM6G\n89+g/djGuVY8ztqIuesZ1/mzE/Nfb6yb2Z9hYj+n21+0wbVjNc76NQQAANj9mlT/b6x/zeV655jH\nhGtS/UTc6L321Q6rMewrHrr1iWu2W8Txr42Yu5FJK7Ks11cXMXczdmL+nQ0KN2e8YNMdf1QMGdPJ\niH1tJLZfje3s97jshn3ezPxHnd/jHOda8TjbOeaoccfcUXZin9Yb62b2Z5jYz+n2N8x6Yx4SZ/xa\nAgAATKb2YL1FrH11sW/h8P8Xc5lgbT5217jJc4eujg+Peyq6+cc16dYprt1uEMe+NmLuRiatyLJe\nX13E3M3Yifl3RhUDx1moOXGcbk7rzmurEY+xkdh+Nbaz3+Myaj12cJ83XMuYv5W22zXqNbXZtRnV\nR8wdZSf2ab2xbvf8jP2cbn/rif1vEC8e13oBAADToUlL9+3XvcpvxDwmXDtYujRu9O0f8JL40Lin\nopt/XJNuneLa7QZx7Gsj5m5k0oos6/XVRczdjJ2Yf2eDYuBpFX3XFHpjv2OJeLyNxParsZ39HpdR\n6zPOfe7E/tdGzI1i/lbabteo19Rm12ZUHzF3lJ3Yp/XGut3zM/Zzuv2tZ4NryLoxrnUDAAAmW5vL\nsVj3anItMY8J131Jc9zoO1z+yt7D4l6Kbv5xTXbrl1nHsa+NmLuRSSuyrNdXFzF3M3Zi/p0NCjbb\nLvqOGv+4Ih5zI7H9amxnv8dl1DqNc587sf+1EXOjmL+Vtts16jW12bUZ1UfMHWUn9mm9sW73/Iz9\nnG5/o3RrsN74NxHbvs4AAACTr8n1t2LdazYtLcQ8JlyTytVxo+/00NfEB8Q9Fd3845p06xTXbjeI\nY18bMXcjk1ZkWa+vLmLuZuzE/DvjLvqeZvFnSxGPvZHYfjW2s9/jslP73In9r42YG8X8rbTdrlHn\n0WbXZlQfMXeUndin9ca63fMz9nO6/W3GqHXaKMa1jgAAwOS44NDiF8aaVxfnHDz6jTGXCdfk8tq4\n0Rc+4rrew+Feim7+cU26dYprtxvEsa+NmLuRUcWDcRUHxllkWa+vLmLuZuzE/DvjLPpu0NfYIx5/\nI7H9amxnv8dlp/a5E/tfGzE3ivlbabtdo15Tm12bUX3E3FF2Yp/WG+t2z8/Yz+n2txWj1muD2NI1\nBwAAmGwzg6WLYs2rTfXPYh5TYNhHug88+lfiQ+Geim7+cU26dYprtxvEsa+NmLuRUUWD3VhkWa+v\nLmLuZuzE/DsbFGq3VIAZ0n69WPkxp83MY5zrGtuvxnb2e1x2ap87sf+1EXOjmL+Vtts1au83uzaj\n+oi5o+zEPq031u2en7Gf0+1vO068zofOa0Rs6boDAABMribXH+vVvFL9uZjHFGhS/Zu42Xd73K/H\nB8I9Fd3845p06xTXbjeIY18bMXcjk1ZkWa+vLmLuZuzE/DvjKvqOGu/pjHuc6xrbrxnXlvd7XEat\n23bWaz0b7POGaxnzt9J2u0b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sUn1cm8ozm1xf2ObypiaV9538QbjuB9i6/7/78+6/d3ld\n/qBc0rWPfW7VbF76vvhCOP5iqH7MCQAAAICJ0uT63FjnanO9KubB1GtyfemQF0P3KeIrYi4AAAAA\n7FZNqn8Ya1xNXhrEPJh63XeatKn8c+8Fkcp/tINyTswHAAAAgN2mPbT49bG+1cX+e/saU/aomUG5\nLL4gjv9NSHl7zAUAAACA3WadrzH93ZgHe0qT6rVDXhhdPCPmAgAAAMBuMqy21eTFEvNgT9l/xbWf\nP+x7T1YilXvFfAAAAADYLdpUPhRrWrPz5WDMgz1ndv7YgfjiOP63IuUv2oP1S2M+AAAAAJxt7cF6\ni1jPWgn1LDhuJpUf6b1Ajv+w28tiLgAAAACcbU1eekisZbWpvCfmwZ7W5PqG3gul+0h8WnpUzAUA\nAACAs6lN5eWxjtWm8syYB3ta95H4Jpd/6b1YujhYZ2M+AAAAAJwtba5/H2tYM4Oli2Ie7Hmzeen7\n4ouliybVd8dcAAAAADgb2vnF84fUrz4T84ATmlyfG180x1845cqYCwAAAAA7rcn1ybF21eZyXcwD\n1mhyeV//hVOXZwflYMwFAAAAgJ3UpvKWWLdqU31CzAPWaHO5U++Fc/xj8n8ze+jYV8V8AAAAANgJ\nFxxa/MJYs+pi5tDiTMwFgjbXH4ovnhOF35+PuQAAAACwE5r5pXsPqVf935gHrKPJ9Rfji2jlb05y\neXzMBQAAAIAzrcmlxlpVm8vPxDxgHe2hxa9vUvmH/gupLs8Nym1jPgAAAACcSW2qvx/rVLN56fti\nHjBCOyiXxBdSF02uvxVzAQAAAOBMmctHbh5rVF2ce5+lr4m5wAbaVJfii+lE4bfEXAAAAAA4E5r5\n+uB+far8dswDNqlJ9b3xRdXFTCqHYi4AAAAAjFuTystibapN9VkxD9ikdn7x/N6LaiXK35+XytfG\nfAAAAAAYpzaVv4u1qdlc7h7zgC1oU/n++MLqosn1tTEXAAAAAMZlNh25XaxJtan+vxvcYPlzYi6w\nRW2ur+69wFYKv0s/EHMBAAAAYBya+fKkfj2qviHmAdvQ/Rpik+vfxhdZFzM+Tg8AAADAGdDk+qux\nFtX9q/SYB2xTm5ZS70W2EuWv20OLXx/zAQAAAGC7bnXPY1/QpvrfsRZ17mCpibnAaWhTORpfaF00\nub455gIAAADAds3mpe/p1aBS+cuYB4xBk+qvxRfcSqS6FHMBAAAAYDvaVBZj/anJ9YUxDxiDcw4e\n/cYm1b+JL7oThd+Hx3wAAAAA2Ko2lQ/0a0/l/jEPGJN2vnxn70V3ImZyvXPMBwAAAIDNms1L3xpr\nTl3sW7jyZjEXGKOZXB4fX3jH/8al/tnsoWNfFfMBAAAAYDOaVB4ba05NLr8R84AzoMnlp+IL8PiL\nsL4h5gIAAADAZnS1pSH1ph+LecAZ0qbyjvgiXHkhpqUrYy4AAAAAjHLzyw7fqEnlv2KtqZ1fPD/m\nAmfITC7f0qTyD70XYhdp8fKYDwAAAADraXOd79WYcvnrmAecYW0q9+q/GI/HTFq8IOYDAAAAwDBt\nrj8Z60ttri+IecAOmJlf/KEhL8jlNpU/3r/w7C+J+QAAAAAQNbn8RawvNXlpEPOAHdLk8sL4ojz+\nwiyvjbkAAAAAsNbM/NH9sa60Ulu69MiNYy6wg9pcfzO+MFdenIPyEzEXAAAAAFa18/UpsabUpvIr\nMQ/YYefmq27TpPqJ3gv0+Iv0/jEfAAAAADptLu/q15PqE2IecBa0aSn1XqDdp31T+Y+ZVM6L+QAA\nAADsbU068tWxltTFufnobWIucJbMpqUfiS/SE4XfD1xwaPELYz4AAAAAe1eT6gP7daT6hzEPOMua\nXF8aX6wrkcorYy4AAAAAe1ebysuH1JAWYx5wlu2/4trPb3P93d4Ltvubmlx/LOYDAAAAsDe1ufxz\nrB/NpqV7xDxgFzh3sNQ0qX4mvmhPvHAXYj4AAAAAe0ubF+8a60ZNLv8a84BdpMn1e+ML90R8uklL\n58Z8AAAAAPaOJtXnxLpRk+rPxzxgl2lTfVp88Z54Ab93YeFVnxfzAQAAANgb2lQ+0KsZzdcHxzxg\nF2pyeVV8Aa+EH3YDAAAA2JPmDi3eqlcrynV57uLnfF3MBXah5h5Hbtzm8gfxRXyi8OvXGAEAAAD2\nmDYvPaZXJ8rlN2IesIvNDcptm1T+q/9i7r6guz4x5gMAAAAwvdpUfmVIjejHYh6wy7Wp3D++mNe8\nqL835gMAAAAwfW43f/VXxNrQSswvnh9zgQnQ5vpDvRf0SpT/mRmUC2M+AAAAANOlTYuXx9pQk+pH\nYh4wQdpUl+IL+0Th969ncvmWmA8AAADA9GhSeV2vLuR3n2DyNXnpVb0X98rXPJTfutU9j31BzAcA\nAABg8u2/97Vf1Kb637EmNDu/eCDmAhPmwIHDN2xS+T/xBX688FtfG/MBAAAAmHxNWrxvrxaU6t/E\nPGBCzeUjN29S+b/xhX7ixX51zAcAAABgsrWpvDzWgdpUnhfzgAk2N1/v0KTyH70X+/FP/D455gMA\nAAAwsT6nTfXTvRpQOnbPmAhMuJlUDsUX+/Uv+vrAmA8AAADA5JmZLwdj7adN9eMxD5gSTaqP673o\nVwu/g6V7x3wAAAAAJkubys/06j6pvCjmAVOkSfU58YV/PMq/N/NL3xHzAQAAAJgcTar/2Kv7pKUU\n84Ap0+T60t6L/3jh9++atHRuzAcAAABg95tNS/eI9Z4m1c8cOHD4hjEXmEJtKr8SLwLH/+anfGgm\nHfuGmA8AAADA7takevWQWs8rYx4wpW598XNu2qTyW70LwfGLwXuaS4/cOLYBAAAAYPdqc/2rIXWe\n+8c8YIqdc/DoN7a5/knvYnD8gvArMR8AAACA3an7raZefSfX5e6DfzEXmHIzBxdn2lz/Pl4QThR+\nffwfAAAAYAI0aenKfm2nvj7mAXvEzKBc2Kb62d6F4Xj8ZMwHAAAAYHdpc/lQrOvMpPLQmAfsIU0u\n94kXhjV/K/SsmA8AAADA7jAzf2x/r56T63KTjnx1zAX2mCaXB8SLw5rC7w/HfAAAAADOviYt/Xis\n5TSp/lrMA/aoJpXHxovEasykxUfFfAAAAADOrmFf7dDVeGIesIc1qfxovFCcjPnFh8V8AAAAAM6O\nld9qivWbLg4tfn3MBfa4Ji+W3sXiRMwOymUxHwAAAICd1+Z6VazdtLn8cswDWNHk8sL+ReNE4Tcv\nfV/MBwAAAGBntal+LNZt2rR4ecwDOKlJ5WW9C8dq4TctLcR8AAAAAHZGM3/03rFe06b63/sWrrlJ\nzAU4RZPLq3oXkOtjPuYDAAAAcOa1ufzskFrNK2IewFBNKq8bchFZidm89D0xHwAAAIAzZ/8V135+\nk+u/xTpNM19zzAVYV5PrG+KFZCVS+a/ZtHSPmA8AAADAmdH93lKvRpPLP8c8gJEWFl71eU2ub+5f\nUFa+L+b/tYN6l9gGAAAAgPEb9q+ym1SvjXkAGzpw2Ytu1KTytnhRORGfbHO5U2wDAAAAwPjsv/fR\nrxxSl1meyeXuMRdgU2598U/ftEn13fHCshKpfrwZ1NvHNgAAAACMR5PrI2NNpsnlL2IewJbcZv6Z\nX9Hk+lvxAnMi/nlmUC6MbQAAAAA4fU0qvx7rMU0qV8Y8gC3bt3DlzdpUfy9eZE7Ep2cGSxfFNgAA\nAABs3znzx245pA6zPJuWbhdzAbblnINHv7HN9Q/ihWblb5hy/c/ZvPg9sQ0AAAAA29PMlycNqcG8\nP+YBnJbm0JFvblP9/XjBWRPzsQ0AAAAAW9fm+jtDai9PiXkAp609tPj1bS7DLjrHY1AuiW0AAAAA\n2LxmcGyuV3PpPuk7f/TbYi7AWOy/39GvbHL9P/HCc33hd+nS2AYAAACAzWlTfVav3pLqO2MewFid\nf/9jX9yk8rbeBWj1b57y4kNiGwAAAAA21ub6V7HW0ualx8Q8gLG7+WWHb9Sk+ub+RWi18FsfGdsA\nAAAAsL7uN5NijWWlzpKOfHXMBTgzDh/+3DaV6+KFaDVmcnl8bAIAAADAcG2ur471lTaVV8Y8gDOu\nTeU1vQvS9fFDMR8AAACAU52XytcOqassN7ncJ+YC7Ig2lZfHi9LJGJSnx3wAAAAArtek8oOxptKk\n8n9jHsCOalJ9cbw4Xf+3UrXEfAAAAACOa3J5f6+eMig/EfMAdlyTyvPjBWpNvCDmAwAAAOx1M4Ny\n4ZA6yvLcfP32mAtwVrS5XhUvUifDl48DAAAAnKJJ9dohNZS3xDyAs6rJi8/oXaxORJPqG29+4PCN\nYhsAAACAvebWFz/npm2qn431kzbXB8VcgLOuyeVJQy5YJ/62qr5z9tCxr4ptAAAAAPaSJpXHxrpJ\nk+onDhw4fMOYC7ArtKk8Ol64Tl7AcnnfTC7fEtsAAAAA7BVtrr8bayZtqksxD2BXaVJ9YO/idTLK\nn86mxTa2AQAAAJh2bT52136tpC63B+tszAXYddq0mHoXsOvj75v5o98R2wAAAABMszaXn+3VSfyA\nGzBJZnK5e5vLJ3sXs+PfVfOZmfn63bENAAAAwDTqfuso1kdWYn7x0pgLsKs1g3r7JpWP9i5oqzEo\nl8Q2AAAAANOmzfWHenWRXP4u5gFMhNmLj+xrU/lQ/8K2+jda9WGxDQAAAMA0aXL5o1gTaXJ5dswD\nmBgz6dg3NKm+N17cTl7kUvnB2AYAAABgGjTzS/eOtZAuZg7VW8dcgImyf+HaL2lzfWu8wK2J/x3b\nAAAAAEy6NpfX9Oogqb4+5gFMpsOHP7dJ5XW9C93JKMdiEwAAAIBJdd78sVv26x8rMR9zASZam+uL\nh1zsVqJJ9cUxHwAAAGASNXnxGUNqHx+JeQBToc31qnjRu/7iV17XfSo4tgEAAACYJE2uf9ure+T6\n5JgHMDWaVH48XvjWxFtn7vWsL4ttAAAAACZBO1i6dEi9Y3nfwpU3i7kAU6VJ5Qfjxe/6KL8zl6+5\neWwDAAAAsNsN/UH7VF8S8wCmUpvLFb2L4Inovufm3MFSE9sAAAAA7FYz88f2xxrHSgzqXWIuwNRq\ncv3e3oXw+vj7mUG5MLYBAAAA2I2aXJ4b6xtNqu+NeQBTr0nH7tnk8m/xonj8wlj+YybVi2MbAAAA\ngN2kuceRGzepfqZX28j1kTEXYE+YHRy947Bftlzzt2IPjG0AAAAAdos2Lz0m1jPaVD5188sO3yjm\nAuwZ7aCc06byod4F8kTM5PL42AYAAABgN2hT+b1Yy2hzvSrmAew5M+nYN7SpvGfIRXIlmlwOxzYA\nAAAAZ9PMYOmiWMNYqWMMjs7FXIA9ad/C4Zu0ub4pXihPRqpLsQ0AAADA2dKk+rJYv2hS/bWYB7Dn\ntbm8Il4w18SLYz4AAADATjsvla8dUrdYnhnU+8VcAI5/H87z4kXz+ii/tP+Kaz8/tgEAAADYKU2u\nT441iybVv4l5AKzR5vqMePE8Gam8o0lHvjq2AQAAANgJba5/EusVTVr68ZgHQNDmxR+KF9A18fvN\n/NFvi20AAAAAzqQml/sMqVMsnzN/7JYxF4AhZlJ5aLyIrom/agb19rENAAAAwJnS5vKaWKNoUnld\nzANghJlUDsWL6clI5VNNWrxnbAMAAAAwbs2hq765V5vIdXl2vhyMuQBsYGawdFGTy7/Ei+qa4u/9\nYxsAAACAcWoHS0+PNYkm14/EPAA2aSaV89pc/zxeXE9eZFN5bGwDAAAAMC5tLn8V6xFtrk+JeQBs\nwUwu39Km8ntDLrDHI9WnxTYAAAAAp2s2LS306hBdHFr8+pgLwBbN3OtZX9am8pbeRfb6uCq2AQAA\nADgdTSq/PKQG8YqYB8BpaFL9+SEX25VoUnlZzAcAAADYjtmLj+yLtYeV+kOu3xVzAThNbao/GS+4\na+JNt774OTeNbQAAAAC2oknlyn7dofxBzANgTJpB+Yn+hXf1b9zKb8/lIzePbQAAAAA2q0nlH/o1\nh8UfiHkAjFGT6xPjxXdN/OlMKufFNgAAAAAbmZkvlw2pNSzfZv7qr4i5AIzZ7GD4RbiLJpd/mc3l\n7rENAAAAwChNLm/r1RlSeVHMA+AMaXK5T5vr/4sX4+uLv/V7YxsAAACAYWbT0u1ibaGLmVzvHHMB\nOINmB8fu2OTy0XhBPnlhTouPim0AAAAAojaV58W6QpPrb8U8AHbAufnobdpcfz9emNdcoH8stgEA\nAABY1Vx65MZNKr1/TdzMl0fEXAB2yOyhY1/V5PL2eHE+eZFO9erYBgAAAKDT5qXHxFpCm8qnbnXP\nY18QcwHYSYcPf26by2t6F+nrL9avjE0AAAAA2lx/t1dHyPWqmAfAWdKkeu2QC/VqvPV281d/RWwD\nAAAA7E0zB49eNKR+sNwMjs7FXADOoiYvPiNerE9GKh/ovgc4tgEAAAD2nibXnxtSO3hLzANgF2hT\nfULvor36t3W5/u3MoFwY2wAAAAB7x3mpfG2sGZwo+t4/5gKwS3QX6d6F+/rC73+2aSnFNgAAAMDe\nMJPKjwypF3w05gGwyzS5fleT6ifiRfz6KFfENgAAAMD0a1L9SKwTNIPyEzEPgF1oJpXzmlz+NF7I\n18RTYhsAAABgerW5zg+pDyyfN3/sljEXgF3qnINHv7HN9TfjxXw1mlSXYhsAAABgOjWpvLFXG8j1\ntTEPgF3ugkOLX9im+vp4UV9zcX9pbAMAAABMl9l0VRtrAsfrAuU+MReACdHm8jPxwr6m8Pur+w4t\nfnlsAwAAAEyHJtdrYj2gzeUPYh4AE6ZJ9Tn9C/yJSPX35+brt8c2AAAAwGQ7//7HvrhN5bOxFtCk\n+riYC8AEalL5wXiRX/M3fH/fDupdYhsAAABgcjV56Qd6NYBUP9V9JWTMBWBCzQ7KZb2L/dq/6cv1\ne2MbAAAAYDK1qXyo/+xfaswDYMLNzNfvbnL513jRP3nx9088AAAAYOI1g5rjM38Xsxcf2RdzAZgC\nM6mc16Ty4XjhXxPPiG0AAACAydHm+qb4vN+kxV+MeQBMkfbQ4te3ubwrvgGcjFR/OrYBAAAAdr/u\nw1695/yVZ/1yr5gLwJRZWHjV57Wp/ELvTeD6uK65x5Ebx3YAAADA7tWm8rz4jN/k+v6YB8AUa3J9\nbnwzWPOm8NszuXxLbAMAAADsPjP3etaXNbn8R3y+b/PiY2IuAFOuyfXH+m8Iq1H+8tz5eofYBgAA\nANhdmvnypPhc3/2g+63ueewLYi4Ae0Cb6sPjG8PJSOWzba7zsQ0AAACwe7S5/HX/mb4ejXkA7CFd\nYbfN5d97bxCrfzs4WHpEbAMAAACcfet9mGvmUL11zAVgj+m+yqFJ5S/jm8TJwm9a+vHYBgAAADi7\n2lx/v/8MX34u5gGwR3U/3tbk8tvxzeLkm0auL4xtAAAAgLOjHZRL4rN7FzNp8YKYC8Ae1tzjyI3b\nXK6LbxgnC7+pvvk288/8itgOAAAA2Fltqu+Mz+1trtfFPABY0aTy/CFvHKuF3z88d7DUxDYAAADA\nzmjny3fG5/Xjz+yL94y5AHBSk8vh+OZx8k0kl39p0jFvJAAAAHAWtLn8Uu9ZPdV3xzwA6JlJ5aHx\nTeTU4u/SQ2IbAAAA4MyZTUu3i8/nXczM1/vFXAAYama+fnf3yd74ZnJ94bf+WGwDAAAAnBltLj/b\nezZP9Q9jHgCM1H2Hb/cGEt9U1ry5XBvbAAAAAOM1m5e+NT6Tn/hA1iNjLgBs6HbzV39Fk+ub4xvL\nmjeYN5x/z2NfHNsBAAAA49Hkek3/ebx8NOYBwJY0qbwovsGseaN537n5qtvENgAAAMDpmbm43jo+\nh5/4ENaTYy4AbFmTyk/EN5mTbzap/MPMYOmi2AYAAADYvjbVnx7yDP6v/tUtAGPTfV9QfLM59Y2n\nPjC2AQAAALZuNi228bn7eCw+NeYCwGmZSfXiNtdP9990ThR+/RMTAAAAOG1Nri+Nz9xtrn9/q3se\n+4KYCwCnbWb+2P421z8Z8uazWvi9JrYBAAAANqcZ1NvHZ+2V5+1UfjDmAsDY7Fu48mZNqr8e34DW\nvBG97oJDi18Y2wEAAACjtan+wpDn7L+MeQBwRqzzz02OvyHl8tvnzR+7ZWwDAAAADDc7v3ggPl8f\nj6XHxFwAOGOaVJ/TfzM6Wfj96Eyud45tAAAAgL4m1zfEZ+vuKxZjHgCccU2qjxvypnQyZgb1frEN\nAAAAcL0m1++Kz9Mrz9SpPDTmAsCOaPLioE31s/HNaTV84TwAAACsr03lLfFZuk3lAzEPAHbUTFq8\noE31z3tvUquF31xqbAMAAAB7XTNfHxyfoVdisHRpzAWAHXfOwaPf2Ob6rt4b1fWF31ctLLzq82I7\nAAAA2ItuftnhG7W5/nX/+bn+VswFgLPn8OHPbVN5ZXzDOvnGlcr/2b+w9E2xGQAAAOw1TSpXxufm\nlUjlXjEXAM66Ji+W3pvW9YXf/zs3X+8Q2wAAAMBe0R6ss/F5eeWZOdeXxlwA2DWavPgD8c3rZKTy\nXzODer/YBgAAAPaCNtXX956Vc/2fmVy+JeYCwK7SpMX7dm9aQ97IVmImlR+JbQAAAGCanXhW7j0j\nt7k+NeYCwK40MygXtrn0vph+NZq89PzYBgAAAKZVk8qH+8/G5Y9iHgDsat0/T2lTeU98Uzv55pbq\nr+1buPJmsR0AAABMkzbVp8Vn4i5mUzkUcwFg1ztw4PAN21xfEd/YThZ+c/nTmXTsgtgOAAAApsHM\nxfXW8Vn4xPPwa2MuAEyUNtVnxTe4k290fuANAACAKdXm8pr4HHz8WXjp3JgLABOnzeWK+Ca3NvzA\nGwAAANOkzYuPic++K5HKM2MuAEys2bR0jzbXv++94a3+TWcufuANAACAiTd76Ni+NtX/GvLc+xcH\nDrzthjEfACbabF76Vj/wBgAAwDTrnm3j8+7KM+98zTEXAKbCyg+8pfLK+OZ38k0w14/4gTcAAAAm\nUZPrk+Nz7okPOV0dcwFg6viBNwAAAKZJM6i3j8+3J55xP7iw8KrPi/kAMJU2+oG37m9IYxsAAADY\njdb7OsPZdPQeMRcAplo7X77TD7wBAAAwydpUnhmfZ1cilWfGXADYE7ofeGtS+a3em+Nq4dcPvAEA\nALBLzaale8Tn2BMF3/fEXADYUw4ceNvoH3hL3Q+8LfqBNwAAAHaN5tIjN25y/WB8hl15jh3U28d8\nANiT2oEfeAMAAGAytLm+Oj67rjy/+o0aADhVm+rD4xumN08AAAB2kybXZ8Tn1ZVn1lR/LeYCACuf\n+N3gB96SH3gDAADg7GhSfWB8Tl2JVD89e+jYvpgPAJyw8gNvua7/A2+5/uq59136mtgOAAAAzpTu\n92bi8+n1z6lLg5gPAAT7r7j28/3AGwAAwHSbTUv3aHN9UPd1fm0ux5pUf75N9Z1NKh9uU/lUF8f/\nd/dn9edXclZy64O6trG/M2Xm+573ZW0qH4rPpl3MpPIjMR8AGKHJ5dnxDfX6wm/5r5l5P/AGAAAw\nKfYtXHOzNi1efryAWz8Zn/O2EZ88XihevLzrOx5vXNpUXz/k2F28OOYCAJvgB94AAAAmVzM4Otfm\nxac2qb47Ps+NO44fY/Gp3THjOLarzfVIPM7xKL8ZcwGALWgHx76zSeUf+m+yq2/sfuANAABgN5mb\nr9/epPKi+Py2U9EduxtDHNdWtPOLD4v9rkSqH2/mr/62mA8AbFEzf/TbRv/AW/nVfQtXnrF/zgMA\nAMDG2oP1Fm0qz4vPbGcturEcrLeI49xIOyjf2evrRDS53CfmAwDbtNEPvLWp/vns/OKB2A4AAIAz\nq/sQTpvKYu85bUTMLVyzfN4lz1u+w+WvXL7TQ1+zfOHDX7984FFvWr7rY9+yfNET3rES3f/u/qz7\nb11Ol9u16drG/kZGKoub/aBQM7/0HU2qn+n1sVLwXfqBmA8AjMGoH3g7HuWK2AYAAIAzox2US9pU\nP91/NuvH/vteu1K47Qq5d3/iu08ruj66vro+43GGRjfGQbkkjn+tmfmj+5tc/qnX1lcLAsCZt9EP\nvHV/ixvbAAAAMF5tqk/rPY+FmLvkucvnX/ri5bs+7q29wu24ouv7/Af87Mqx4vF7kerT4jw63XcA\nt7n+VS//+I+Ivz3mAwBnQJPrd7W5/F18M17zpvyG/fc7+pWxHQAAAKfn1hc/56ZNrq+Oz2FrY+7Q\n1ct3fMgv9Aq0Zzq6Y3bHjuM59Xlx6VXdHFbnM5eP3LzN5UMx73hu+e32YP3SU1cAADhjmkNXfXOb\nyjvim/LJN+dUP9LmcqfYDgAAgO1pBvX2TSofjM9fqzE7OLZ8xwe/avmi739nryC7U9EduxtDN5Y4\nvuufF8sHu7nMHjr2VW2qvxf/+4n4g7mLr/66uAYAwA5ocnn+kDfn69/MB/XBsQ0AAABbMztfDsbn\nrbVx/gNesnzRE97eK8KerejG0o0pjvOU58VU/jj+2Uqk+mdzhxZvFdcAANhBTV78gd6b9Klv5FfG\nNgAAAGzO3KDctkn1M/FZazXu+JBX94quuyW6scXxjoxUPzY3WGriGgAAZ0Ezv3TvJtd/7L1hn4zy\nSzP3et6XxXYAAACsr/uKg+Nfnxefsery7KGrli98xHW9Qutui26M3Vjj+GM0ufzrTFq8IK4BAHAW\nzealb21SfXd84z4ZqXzIGzgAAMDmNev8lspt7/eC5bs+9i29AutujW6s3ZjjPFajyfU/m1TuFucP\nAOwSbS4/E9/A18bsoFwW2wAAAHCqNpWXx+epLvbf7/ln9cfathvdmLuxx/l00RW34/wBgF2mzeV/\nxTfxUyKVZ8Y2AAAAHNfmeqT3HJXr8tzCc5fv+ri39gqqkxLd2Ls5xHmdiCNxHQCAXab7ddkml38Z\n8kZ+Isprzr/nsS+O7QAAAPay7ofb+s9Px+PAo97UK6ROWnRziPNajXMH5bZxPQCAXebcfPQ2bSrv\niW/kq9Gk+oezael2sR0AAMBe1ab6+vjs1MWFD399r4A6qdHNJc5vJVJ9fVwPAGBXWv6cNpef7b2Z\nrxZ+c/3PdrB0aWwFAACw1zTzNcdnpi7Ov/TFvcLppMf5l76oN8+VZ8T5muO6AAC7VJPrk+Ob+Slv\n7Kn8eGwDAACwlzS5vD8+K+2/77W9gum0RDe3ON8ml/fFdQEAdrETf2v9yfimvubN/VX7733tF8V2\nAAAA065N9QnxGamLCx9xXa9YOi3RzS3OdyVSfUJcHwBgF2sH5Zwm1ff23tRPvrmXD8ykcl5sBwAA\nMK32LVxzkzbVj8fno9td+qJeoXTaoptjnHe3Ft2axHUCAHaxAwcO37DJ9aW9N/aTUf59Zr7eL7YD\nAACYRk0uD+g/F9Xluzz6zb0i6bRFN8c47y66NYnrBABMgCaVH41v7KdEqk+LbQAAAKZNm+ur4/PQ\nBZe9rFcgndbo5hrn361JXCcAYEK0g3JJk8u/DXmDX41X3Oqex74gtgMAAJgGNz9w+EZNKv8Rn4UO\nPOpNveLotEY31zj/bk26tYnrBQBMiNm02Lap/F58kz8Zqfze3GCpie0AAAAmXfdBmPgMNHfJc3uF\n0WmPbs5xHbq1iesFAEyQ7tO83ad6e2/yJ6L7NPBsWlqI7QAAACZZk8rL4vPPBQ/aO1/tsBrdnOM6\ndGsT1wsAmEDd9/jGN/oQT41tAAAAJtPy57SpfCo+99z5kb/cK4pOe3RzjuvQrU23RnHVAIAJNDOo\n92tz+ffeG/6JaHL9uX0Lh/+/2A4AAGCSzOZy9/i8M7dwTa8guleim3tcj26N4roBABNqJpXz2lQ+\nEN/w1xR+3z83KLeN7QAAACbFzHy5LD7r3P6BL+kVQ/dKdHOP69GtUVw3AGCCNfc4cuMml1fFN/01\n8T9NXnxIbAcAADAJmlyfHJ9z7nD5K3vF0L0S3dzjenRrFNcNAJgCTSo/Ht/4T41yLLYBAADY7Zpc\nr4nPN3d66Gt6xdC9Et3c43p0axTXDQCYEu1g6dI2lc/GG4A1NwJvnzu0eKvYDgAAYLdqUnldfLa5\n8BHX9YqheyW6ucf16NYorhsAMEVm02Lb5PLb8SZgTfxzkxcHsR0AAMBuNOz55sCj39wrhu6V6OYe\n16Nbo7huAMAUalP56XgjcEoMlp4e2wAAAOw2Tap/E59n7va4X+8VQ/dKdHOP69GtUVw3AGBKNak8\nNt4MnHJjkOsv7r/30a+M7QAAAHaL+BzTRSyE7rWI69FFXDcAYIrNzi8eaFL5cLwhWBN/PnPw6EWx\nHQAAwG4w9JO+j39brxC6V8InfQGAFe3B+qVtKr8QbwxOibT0/bEdAADA2TbsO33v8hjf6XtK0dd3\n+gLA3tWk8qPx5uCUG4VUX3zgwOEbxnYAAABnS5PK6+Kzy50f8YZeMXSvxIWPuG7Is1x5XVw3AGAP\nmZ0vB5tU/iHeJJyMVH9vZv7o/tgOAADgbGhyvSY+t9zpYa/tFUP3Stzpoa/pPcd1axTXDQDYY9qD\n9RZtKm+JNwprCr//3aaly2M7AACAndbk+uT4zHKHy1/ZK4bulejmHtejW6O4bgDAHtWmshhvFkLx\ndym2AQAA2Ekz8+Wy+Kxy+we+pFcM3SvRzT2uR7dGcd0AgD1sdlAua3L9z3jTsBpNKm87Z/7KW8Z2\nAAAAO2E2l7vH55S5hWt6xdC9Et3c43p0axTXDQDY45rB0bk2l9+JNw4nI9WPt2kpxXYAAABn3vLn\ntKl8Kj6n3PmRv9wriE57dHOO69CtTbdGcdUAAG5wg8OHP7fJ5YW9G4hTi79Pi80AAADOtCaVl8Xn\nkwse9LJeUXTao5tzXIdubeJ6AQCcYiaXx8ebiHBD8brbzD/zK2I7AACAM6UdlEvis8ncJc/tFUWn\nPbo5x3Xo1iauFwBAT5sX79rm+qe9m4nVSPXP2nzsrrEdAADAmXDzA4dv1KTyH/HZ5MCj3tQrjE5r\ndHON8+/WpFubuF4AAEPtO7T45U0ur403FaH4+4TYDgAA4Exoc311fCa54LK98xUP3Vzj/Ls1iesE\nALChJpfDQ24sTkaT6wu77wOO7QAAAMapyeUB8Xmki7s8+s29Aum0RTfHOO/jz2PlAXGdAAA2pU2L\nqc31n+INxpr43WZwbC62AwAAGJd9C9fcpE314/F55HaXvqhXJJ226OYY592tRbcmcZ0AADZtJpdv\naVL59d6NxoloUvmvNtcHxXYAAADj0n3FXHwW6eLCR1zXK5ROS3Rzi/M9UfT1dXsAwHg0udTezcba\n4m+uJbYBAAAYlyaX98XnkP33vbZXLJ2W6OYW59vk8v64LgAAp6VNi5e3qf53vPE4eQOSyq8381d/\nW2wHAABwOmbnFw90Xy8Xn0G6OH8Kv+bh/Etf3JvnyjPXfM1xbQAATttMKue1qf5evPk4eROSy7/5\nUQEAAGAcut8QaVL9+fjcEePCh7++Vzid1OjmEue3Eqm+Pq4PAMDYHDhw+IZNWnxx7yZkTTS5PDe2\nAwAA2Iy5+yzeqs31BfE5Y1QceNSbegXUSYtuDnFeqzE3KLeN6wQAMHZtKt8fb0ROiVR+x40JAACw\nWU068tVtKou9Z4tNxNzCc5fv+ri39gqpkxLd2Ls5xHmdiCNxrQAAzpgmlbu1uf7JkJuS62NQHh3b\nAQAArNp3aPHL21Se2ab62d7zRIjuB92aVN8d/7yL/fd7/vJF3//OXkF1t0c35m7scT4rkcrL43oB\nAJxxzT2O3LhN9SW9m5O1N2ap/Ny+hcM3iW0BAIC9a//CtV/SpPLjTaqfic8QvUj1z9pBfdhq2yaV\nd/Rycl2+7f1esHzXx76lV1jdrdGNtRtznEcX3RxPXTEAgB3WpvLoeJMSblg+3H0yOLYDAAD2ln0L\n19ykTfVpbSqfis8NMZpU/qHJiz8Q+5i7+Oqva1L9SMzvYvbQVcsXPuK6XoF1t0U3xm6scfzH510/\n0s0xzhsAYMd13+HbpPreeMOyNmZS+ZHYbifNpqV7tLk+qMn1yW0ux1Z+DTjVd3ZF6ZWbzlQ+dfx/\nd3/W/VJwOXY8tz6oaxv7AwAANmf/vQ9/UZPKjzapfCI+J/Sj/HubytMvOLT4hbGfVSeeP9b9lPAd\nH/LqXqF1t0Q3tjje1ejm5PdRAIBdp5mv18Qbl1Oj/NLcxc/Zkb+13rdwzc3atHj58QJu/WR/LFuO\nTx4vFC9e3vUdjwcAAJyqufTIjWfT0o+0uf7TkPvrfqSyeO59lr4m9jPM7Hw52Gu/Js5/wEuWL3rC\n23tF17MV3Vi6McVxro1uTnGeAAC7QpPLA9pUPx1vYE5GKn/XpsUU241DMzg61+bFp673Aw/jjOPH\nWHxqd8w4DgAA2MtO/EDb05tUN/HJ3pXv7V065+DRb4z9bKQZ1Ns3qXyw19+JmB0cW77jg191Vn/k\nrTt2N4ZuLHF8q9HNoZtLnB8AwK7SzB/9tjbXt8abmVNubHJ5dmy3XXPz9dubVF4Uj7FT0R27G0Mc\nFwAA7CW3W7jmZt19fpvq/4v3zMOiSeXq9mC9RexnK2598XNu2uSlV8W+18bcwtXLd3zIL/QKsmc6\numN2x47jOWUNcn11N4c4LwCAXatN5ZnxpuaUG5xU3nZuPnqb2G6zuhvENpXnxX7PWnRjOc2bVgAA\nmDRz+cjNm1xLm8v/9O6Rh0Uqz5vJ5VtiP6dj5Qfi4nFCzF3y3OXzH/Czy3d93Ft7BdpxRdf3+Ze+\neOVY8fi9SPVpcR4AABNhZr4cbHL9aO8G50R0P1YwM18ui+1G2bdw5c267/uKfY2KuYVrls+75HnL\nd7j8lct3euhrli98+OuXDzzqTct3fexbli96wjtWovvf3Z91/63L6XK7Nl3b2N/ISGWxG2McNwAA\nTJMT/8Lvub374XWiyeWnZvPSt8Z+xqUdlEtGftXcmth/32tX7ve7+/9YuN1qdH10fXV9xuMMjW6M\ng3JJHD8AwETpCqBNKq/r3eyccuNTnhfbDeNGDgAAzq72YJ1tcn1h7x54nWhyfW5XII79nAk+IAIA\nsMOa+fKk3k3PqfG77fzi+bHdqk3/k61LX3zm/8nWA37WP9kCAGBPmR0cu2Obyit797xDo/xP95UP\n3Vc/xH52gq+CAwDYQe2g3qVN9Y97N0FroknlsWvbHP9xhvrqmLc2/DgDAACcGbPp6D3aVF8f73OH\nRZPK/2sH9Vm75dOsfvQZAGCHXHBo8QvbXF8cb4hOuTnK9aUrxd5BvX2Tygfjf1+N2cGx5Ts++FXL\nF33/O3sF2Z2K7tjdGLqxxPGdnE8qH+zmEtcCAAB2q9n5crDN9a3x3nZYNKl+ok3l6TPf97wvi/3s\nBs3g6FybF5/apPruOPZxx/FjLD61O2YcBwDA1GtyfWS8QTrlZinXv41/tjbOf8BLli96wtt7Rdiz\nFd1YujHFca6N7sY5rgMAAOwmM4N6vzbX34z3ssOj/N1MKj+y/97XflHsZ7fat3DNzdq0eHmT6s+3\nuX6yP6ctxydX+kqLl3d9x+MBAOw5M6mc1+T6W0NunEbGHR/y6l7RdbdEN7Y43tVoUv3M3KDcNq4D\nAACcbc18fXCTygfiPezQSPXP21SfcIPDhz839jNpZtPSPdpcH9Tk+uQ2l2PHC7j1nU0qH25T+VQX\nx/9392ddobgcO55bH9S1jf0BAHBCm+tVvRvJITF76KrlCx9xXa/QutuiG2M31jj+LppUPzJ38dVf\nF9cAAADOhjaVR68UNYfcu8ZoUv3DNpcrYh8AADBUm8r9R/3zqtve7wXLd33sW3oF1t0a3Vi7Mcd5\nHL9ZLu+I8wcAgJ2y/4prP79J5QfbXP8q3qsOiyaX327nFy+N/QAAwIbaXK6LN5hd7L/f88/qj7Vt\nN7oxd2OP81mJVF4e5w8AAGfS+fc/9sVNKj/a5PqPvfvTIdHk8vZmvubYDwAAbEqb65F4k9nF3MJz\nl+/6uLf2CqqTEt3YuznEeZ2II3EdAABg3M69z9LXtKk8s03100PuSXvRpPLLTa7fFfsBAIBN637c\nLN5orsaBR72pV0idtOjmEOe1Guf6YTcAAM6Q9mC9RZNraVP973gfOjzKa2ZyvXPsBwAAtqxN9fX9\nG866fOHDX98roE5qdHOJ81uJVF8f1wMAAE7Hufmq27Sp/mTv3nOdaHJ96Wxaul3sBwAAtqX7jrB4\n09nF+Ze+uFc4nfQ4/9IX9ea5cpPte9IAABiDZnB0rknlRfF+c0S8oElL58Z+AADgtDS5vD/efO6/\n77W9gum0RDe3ON8ml/fFdQEAgM2am693aFN5ZbzPHBFXnTN/7JaxHwAAOG1tqk8YcgO6fOEjrusV\nS6clurnF+a5Eqk+I6wMAAKM0qdytzfUXe/eWQ6P8e5Pqc+YuvvrrYj8AADAW+xauuUmb6sfjzejt\nLn1Rr1A6bdHNMc67W4tuTeI6AQBA1KZyrybVN/fuKYdEk8u/tKk+bd+hxS+P/QAAwFg1uTwg3pB2\ncZdHv7lXJJ226OYY533ihvwBcZ0AAGDVTCqH2lTfGe8jh0YqH2tyedIFhxa/MPYDAABnRJvrq+ON\n6QWXvaxXIJ3W6OYa59+tSVwnAADoPhzQpPreIfeP/Uj1z2dzefwNbnCDz4n9AADAGXPzA4dv1KTy\nH/EG9cCj3tQrjk5rdHON8+/WpFubuF4AAOxNbS5XNKn+YbxvHBZNLn/Upvrw2AcAAOyIdlAuiTep\nc5c8t1cYnfbo5hzXoVubuF4AAOwpnzOTy+PbVP+sd684PH53Zr5cFjsBAIAd1aTysnizesGD9s5X\nO6xGN+e4Dt3axPUCAGD67b/3tV/UfQdvk+vfxnvEYdGk+m4fGAAAYJdY/pw2lU/Fm9Y7P/KXe0XR\naY9uznEdurXp1iiuGgAA02n/vY9+ZTtYenqTy7/07g2HRJPqrzWDpXvHfgAA4KyZzeXu8cZ1buGa\nXkF0r0Q397ge3RrFdQMAYLrsX1j6pjbVo8N+62J4LP3SzGDpotgPAACcdd33jcUb2Ns/8CW9Yuhe\niW7ucT18JxsAwPSam6/f3qbFn4z3gOtGKq+cHRy9Y+wHAAB2jSbXJ8cb2Ttc/speMXSvRDf3uB7d\nGsV1AwBgsp07KLdtc/nZeO+3XjSpvKgZHJ2L/QAAwK7T5HpNvKG900Nf0yuG7pXo5h7Xo1ujuG4A\nAEymmVzv3KbyC/Geb91I5Xnn5qO3if0AAMCu1aTyunhje+EjrusVQ/dKdHOP69GtUVw3AAAmy8x8\n/e42lzfFe72hkepn21yP7FtY+qbYDwAA7HpNLr8db3IPPPrNvWLoXolu7nE9ujWK6wYAwGSYSeVQ\nm8o74j3esGhy+Zc2laffbv7qr4j9AADAxGhS/Zt4s3u3x/16rxi6V6Kbe1yPbo3iugEAsLu1afHy\nNpXfi/d2w+L4PXH5Xwcue9GNYj8AADBx4g1vF7EQutcirkcXcd0AANidmlQe26Ty4Xg/NyyO5y0+\nJvYBAAATbegnfR//tl4hdK+ET/oCAEyeW1/8nJvOpPIjbaofi/dyw6LJ5X3dJ4FjPwAAMBWGfafv\nXR7jO33DQ4Hv9AUA2IXOS+Vr27T4rDbVT8d7uGHRpPruJtfvjf0AAMBUaVJ5XbwZvvMj3tArhu6V\nuPAR1w15OCivi+sGAMDZ08wf/bYm1avjfdu6kcqvNPNH7x37AQCAqdTkek28Kb7Tw17bK4bulbjT\nQ1/Te0jo1iiuGwAAO29uUG7bpPrieL+2bqTyC7PziwdiPwAAMNWaXJ8cb47vcPkre8XQvRLd3ON6\ndGsU1w0AgJ0zM1i6aNi/UFsvmlReNJPKebEfAADYE2bmy2XxJvn2D3xJrxi6V6Kbe1yPbo3iugEA\ncOY1eXHQpPrr8f5svWhSuXo2L31r7AcAAPaU2VzuHm+W5xau6RVD90p0c4/r0a1RXDcAAM6cZr4+\nuE3l9+J92dBI5VNtKs/sftQt9gMAAHvU8ues3CiHm+c7P/KXewXRaY9uznEdurXp1iiuGgAA47X/\nims/v01L39+m+me9e7Ih0eT6t93XcO1buOYmsS8AANjzmlReFm+iL3jQy3pF0WmPbs5xHbq1iesF\nAMD4zB469lVtKk9vU/14vBcbGqn+cTsoj479AAAAa7SDckm8mZ675Lm9oui0RzfnuA7d2sT1AgDg\n9M0dWrxVm+pSk8p/9e7BhkUq72kHS5fGfgAAgCFufuDwjZpU/iPeWB941Jt6hdFpjW6ucf7dmnRr\nE9cLAIDta+evOr/N5Wfjvdd60aT65iaX+8R+AACADbS5vjreYF9w2d75iodurnH+3ZrEdQIAYHtm\nBvW7m1zfMOSea2g0qf78TD5y59gPAACwSU0uD4g32l3c5dFv7hVIpy26OcZ5rzxo5PKAuE4AAGxN\n95UMbS6/Ge+11osml+fPDZaa2A8AALBF3a8eD/vxjNtd+qJekXTaoptjnHe3Fn4JGgBgew4cOHzD\nmVwe3+b6J737rCHRpPqZNtcjc/nIzWNfAADAaWhTfUK8Ae/iwkdc1yuUTkt0c4vzXYlUnxDXBwCA\n0c69z9LXtIOlp7e5/FPv/mpINLl+tJ2vT2kP1i+NfQEAAGPS5PL+eDO+/77X9oql0xLd3OJ8VyLV\nd87N1zvE9QEAoG/24iP7mlyv6d1TrRvlD5r58ojYDwAAcAY08zX3b8rr8vlT+DUP51/64t48YzS5\nPDuuEQAAx83keuc211fEe6j1osn17bNpaSH2AwAAnGFtqq+PN+hdXPjw1/cKp5Ma3Vzi/NaP8kcz\nqV4c1wkAYK/qCrdNKr/ev29aL8prZg4evSj2AwAA7JC5Qblt/0b9eBx41Jt6BdRJi24OcV6bilR/\nev+9j35lXC8AgD3h8OHPbQfl0U2qf9i7T1onmrz0/PZgnY1dAQAAZ0H368nxpr2LuYXnLt/1cW/t\nFVInJbqxd3OI81p5KEn155tcfjv++Sk5uf5jM6gPjusFADCtzkvla9tc/3d3HxTvjdaJT3ZfkXXO\nwaPfGPsCAADOsjaVlw+5iV/ef7/nL1/0/e/sFVR3e3Rj7sYe57MSqbz85LxzfUrvv/ei/NK5+arb\nnLpiAADTYzZd1TapXtu/DxoeTS5/0eb6Q809jtw49gUAAOwiTSrviDf0Xdz2fi9Yvutj39IrrO7W\n6MbajTnOY+UBJZV39Oe9dG6T6htjbi9S/eHYFgBgkrWD8p1NKq/r3fesE02uv9Xm+qDYDwAAsEvN\nXXz11zWpfiTe3Hcxe+iq5QsfcV2vwLrbohtjN9Y4/pWHlFQ/0s0xzntVm8sVTS7/Etud0kcuvzEz\nKBfGtgAAk6TJ5QHdfU2811k3Un39bF78ntgPAAAwAbofdmtS/UzvRv9E3PEhr+4VWndLdGOL412N\nbk7d3OJ8o30LV96szfXFsX2MJi+WCw4tfmFsDwCwW7UH65d2/3KpTfXP473NupHKT8/MH9sf+wIA\nACbM7Hw52LvhXxPnP+Alyxc94e29ouvZim4s3ZjiONdGN6c4z1Ga+ZqbVD8c+zk1yl83qT4wtgUA\n2E3aQTmnzfWqNtXP9u9nhkX55zbXZ/hxNgAAmDLNoN6+SeWD/YeA4zE7OLZ8xwe/6qz+yFt37G4M\n3Vji+Fajm0M3lzi/zVhYeNXntakcjX32IpXr5gZLTWwPAHA2dd/X2+bymt69y3qR6h/P5PL4fQuH\n/7/YFwAAMCVuffFzbtrk+ureA8GamDt09fIdH/ILvYLsmY7umN2x43jWRjf2bg5xXlvVfYfvZr7z\nrknlx2NbAICd1qbFy9tU3hPvVdaNVN7RpMX7xn4AAIAp1qb6tN7DQYi5S567fP4Dfnb5ro97a69A\nO67o+j7/0hevHCsevxepPi3O43R134HXpPJfvWOdctzyoSYvDWJbAIAzafbQsa9qc31q9/VTvfuT\ndaJJ9eebVO4W+wIAAPaIdlAuaVP9dHxYGBb773vt8h0uf+XygUe9qVe43Wp0fXR9dX3G4wyNboyD\nckkc/7icM3/lLdtcX9E7boxUXjl3n8VbxfYAAOPUHqyzba4/2eb6P737kSHR5PJvTa5l5lC9dewL\nAADYg/YtXHmzNpXF+PAwKuYWrlk+75LnrRRu7/TQ1yxf+PDXrxRy7/rYtyxf9IR3rET3v7s/6/5b\nl9Pldm26trG/kZHKYjfGOO4zofuht+5773pjOGU89b+bvPSk2BYA4HQ1udynTfX1vfuPdaJJ5cNN\nXvyBfQvX3CT2BQAA0H2i5BZtKs+LDxNnLbqxHKy3iOPcCW2u/7s3nn787sx8/e7YFgBgK7qCbZvK\n94/6sd0YTSpv8329AADAps3N129vUnlRfLjYqeiO3Y0hjmunzRxanNnMJ22aXF54XipfG9sDAIwy\nm65qm/l6TZvLv8f7i/WiyfWl3Y/Rxr4AAAA2pRkcnWvz4lObVN8dHzjGHcePsfjU7phxHGdbk8sD\n2lz+Mo75lEjlU02qj4ttAQCiJi8O2lze1LufWCeaVD/RpPqcmVy+JfYFAACwbfsWrrlZmxYv734N\nus31k/FhZBvxyZW+0uLlXd/xeLvNzS87fKPNfO9xV7yeyeXusT0AsLfNfN/zvqzN5X+1uf5JvH9Y\nL5pcP9j9pfKt7nnsC2J/AAAAYzeblu7R5vqgJtcnt7kcO17Are/sfkyk+9Tr8U++dv+7+7OuUFyO\nHc+tD+raxv4mxUxavKDN9S3xoSxGkxZfPJeP3Dy2BwD2lrlBuW2T6rVtKv8V7xdGxHWzg2MHY18A\nAACcQW2qD29y+achD2nXF35z/c8216fEtgDA9Ot+ZK1N9dfi/cGI+HSb6lKTls6NfQEAALBD9h1a\n/PI2158c8tB2aqT6x+2gXBLbAwDTpUnP++p2vj6lTfXPe/cD60UqH2hSeewFhxa/MPYHAADAWdKk\ncrdN/dhdqq+fSeW82B4AmGyzB4/esc3lZ3rv/SOiyfW1s3npe2JfAAAA7CLNfHlEm8vfxYe6GE2u\n5dYXP+emsT0AMFnawdKlTa5vj+/160WTy7+0uR6ZOVRvHfsCAABgl9q3cM1N2lSPxoe8GE0q/9Dk\n+sjYHgDY3WbSs7+hyeVwm8tfx/f3EfE7zaA8Yv8V135+7A8AAIAJ0QyOzrW5/NKQh75Tokn1/8ym\npXvE9gDA7jKX653bVF8S38tHRZPqz7fz5TtjXwAAAEyw2bS00OT6wfgQ2I/ys+3BeovYHgA4u9q0\ndHn3l7T99+7h0f1rnjaVZ54zf+UtY18AAABMkZlUfqRJ5T/ig+Epkep/t7k+NbYFAHZWM3/025pc\nn7GZ7+pfE785k8pDY18AAABMsf0LS9/U5PrCIQ+JMf68GdQHx/YAwJl14l/ovGHIe/O60eT60jYv\n3jX2BQAAwB4yc/DoRW0u74oPjTGaXH5jNi9+T2wPAIzP8U/1Lnaf6t30D7M1uX60zfV/d3+hG/sD\nAABgD2tTfXib6sfig2Q/ymuawbG52B4A2L7tfKq3zfWdM4NyWewLAAAATmouPXLjNtcjQx4qe9Hk\n8tzzUvna2AcAsDkrn+odlJ/Yyqd6V96DU31xM7/0HbE/AAAAWNfMwcWZNpVXxofMfpR/92NvALA1\n2/lUb5PrB9tUf3jfwjU3i/0BAADAps2mpXs0qbwjPnjGaHL5C78QDgDrW/lUb9r6p3rbVF7epMV7\nxv4AAADgtDS5PKDN9U96D6L9+M02lXvF9gCwV3Wf6m1zvW7Ie+a64VO9AAAA7Jg2l//V5vrJ+HAa\no8n1tTPzR/fH9gCwF8zmpW/1qV4AAAAmxm3mr/6KJtfSe1AdFqk8b9/C0jfFPgBgGs2mcqjNZYuf\n6i1/1H2q14+jAgAAcNa1g3JOm+sr4sPrsGhSfc6+Q4tfHvsAgEl3/ad661/F97/R4VO9AAAA7FKz\nudy9yeXt/YfZEKl+uknlR291z2NfEPsAgEnjU70AAABMvXawdGmby4fiA24/yt81uT4xtgeA3e74\np3qXfnwbn+p9hU/1AgAAMLHaXH+oSeVf+w+8IVL9szaXK2J7ANhNDhw4fMMmlwc0qb6x9142Inyq\nFwAAgKnSHqxf2qb6rDbV/44Pwb1I5QNtKvePfQDA2dSkcrc21xe0qXyq9941Ol7RpGM+1QsAAMB0\nmknHvqHN9aohD8S9aHL5jTbX+dgHAOyUc/PR27SpPq3N9U/i+9So6D7V28yXJ/lULwAAAHvGzKF6\n6yaXF8aH5GHRpPpr3Y/DxT4A4Ey49cXPuWn3dUNNqr8e35M2Ea+Yma/fHfsEAACAPWNm/uj+JtWf\nH/LQ3IsmldedO1/vEPsAgHFoU7lXk+tLN/VVRKdE+aMm+1QvAAAAnGIm1zs3ub6h/yA9JFJ5ZTOo\nt499AMBWNYOjc02qz2lz/ave+82IaHL51yYv/VQ7qHeJfQIAAABrzA7qdze5vj0+XA+LJtdXzw6O\n3TH2AQCjNOl5Xz2Ty+PbVN4T31s2jnLdbF76vhscPvy5sV8AAABghNm0uNCk+t7+w3Y/mlxeOzMo\nF8Y+AGCt7r2lzeU18X1kE/G7ba4/1P0YaewTAAAA2KI21wd135U45AF8SJRf8s9sAVir+xchTSpX\nN7n+Y/99Y1SUv2tyqb5OCAAAAM6QdlAe3aby5/2H8n503w08M1i6KPYBwN7QHqy36H5YrU3lA/E9\nYqNocnlVm5ZS7BMAAAA4Q2bT4qOaVD8SH9KHR3lTO1++M/YBwPTZf8W1n9+k+sA2l1/uvx+MjibV\nd7d58TG3m7/6K2K/AAAAwA5pU314m8qH4oP7sGhy+dWZ+frdsQ8AJl/3LzvaVH66yeXf4vV/VDS5\n/EWbyjPPHSw1sU8AAADgLJpJ5aFNKh+MD/PrxFub+aP3jn0AMFlm09LtuoJtk8qHh1zr149UP9vm\n8rNNOnbP2CcAAACwy7Rp8fI21d/vPeAPjfKuJi3eN/YBwO41Nyi3bXJ9RrPpH/e8PppUf63Jiw9p\n7nHkxrFfAAAAYJfrvs+xSeV98YF/WKwUDlJ5dOwDgN1hJpXzmrT0402qfxiv4RtFk+sHm1R+dDYv\nfWvsFwAAAJhAbSr3b3P5nVgEGB7l77rCwG3mn+kHfADOsmZwdK7N9X+3ufxB/3o9OppUP9Hk8lOz\n88cOxH4BAACAKdF9jUOT62/FwsCwaHL9zzbVJZ8KA9hZs2mxbVN9WpvKB+K1eVOR6utn8+L33eDw\n4c+NfQMAAABTajYtLXTf5dsrFKwXqb5kJi1eEPsBYDzOHSw1TS6Hm1ze37sGbyKOf09vfeS+hWtu\nFvsGAAAA9pB2UL6zzfUXY/FgvWhSeeNsXvqe2A8AW9ekpXO7r9NpU/29eL3dVKTylu672Ocuvvrr\nYt8AAADAHnfu8V+Bf2GvoLB+/GaTywNiPwCMNnvo2L42Lz61zfV3h1xbN4wmlV9vUnnsTHr2N8S+\nAQAAAHqaQ1d9c5vrkSbVz8RCw7BoUvlwk+sTz7/nsS+OfQFw3Nx8/faZVH6kSfW98Tq6mWhSeVuT\n6uPOOXj0G2PfAAAAAJuyf+HZX9Lk+uQ217+OxYehkepnm1yf2wyOzcW+APaimUP11k1eelKTy2/3\nrpmbiVTe0ab6hLl85OaxbwAAAIDT0qb68K38gnyT6ptn0+JC7Adg2jXzR7+tTfWH21TeE6+Nm4pU\n39mm8v3twXqL2DcA8P+3dzfQtqRlgZhxGJkxiXFWRuNagz+JfzBN36pz6XE0LBUQghKa7lN17m1o\nbAehoQVa/pVuaJpWFvIjfatu05mMBjATZcYMKESNMIalUREcJRPjLy5xVsLEGeIAWaOyZhyT8WR9\n59zTe9+3dn27au/a5+5zzvOs9S5W31P11fu9X9W+fO/dZ28AACa3UzUX0q8Yd5oUvdH8QVE3d99w\n6/1fGMcCOC3Sl7EdNHrr5iPd18HlUVTtLxf1pVeeq5uviGMDAAAAHIuiar65rNofj42LbFTNO85V\nl74+jgVwEpV77RMOPv+8bn+n83o3IIqq/XBRNd/9mN0HvjKODQAAAHDNlHvNY4q6acu6/ZPY0OiL\ng3cKV823xbEAttkNN973H5w7/G2H/66s2z+Kr20D41fKunnVTn35q+P4AAAAAFvly599318t95o7\ni7r59QVNjp5o/q+ibu4rL1x6ZBwPYBs85ua/+6XFbvOCsmp+uqzaf999HRsQ6bN9q/auYvfBr4nj\nAwAAAJwIRXXpW8uqGffRD3XzY2XVPC2OBXDcir0Hzpd1+9qybn6l+1o1LIq6+bWibl99fX3/o+P4\nAAAAACdW+vXlor785qJuPh0bIpn4g7Jqv/f8hUtfFcfjZNm56a3XlXvNLUXVvqSsmjcWdfvDZd18\noKiaXy+r5pMH6101nzz47/Tn6efpuHT8XnNLOj+OCRtx331/qajbbymr9nJRtR9f8Lo0KIq6/YX0\n0Q3nd9u/GS8BAAAAcLrcd99fKvfa5xdV86uxSZKP5v079eVnxeHYXqlxdvgZz83vdtdzhai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yewwMN/4jir1uZcvpFCF6S/7jmG9XAAAAYG0EsRP8mDOI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\ncqB3VGtj84PYD/znf995oHdUkm3vtwM6Tlxo/+5P4BxDuy96tM8FsO5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        },
        "images/06-gradient-descent/slide09_pic1_Learning_rate_step_size_is_critical_for_convergence_and_corr.png": {
          "image/png": 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GUWfFC42UT2X4+eefrVenn366NGrUyDr+/ve/W880no1x5skBBxxQqLgZeIlZHirG0Sdf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        }
      },
      "id": "f069ec92-7e15-4edb-9c50-7a78a24e6717"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "name": "ai-curriculum",
      "display_name": "AI Curriculum",
      "language": "python"
    }
  }
}