{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\"Open" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from scipy import stats\n", "from scipy.spatial.distance import cdist\n", "import matplotlib.pyplot as plt\n", "import matplotlib.colors as mcolors\n", "\n", "import random" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "\n", "\n", "plt.style.use('ggplot')\n", "\n", "plt.rcParams['font.family'] = 'sans-serif'\n", "plt.rcParams['font.serif'] = 'Ubuntu'\n", "plt.rcParams['font.monospace'] = 'Ubuntu Mono'\n", "plt.rcParams['font.size'] = 10\n", "plt.rcParams['axes.labelsize'] = 10\n", "plt.rcParams['axes.labelweight'] = 'bold'\n", "plt.rcParams['axes.titlesize'] = 10\n", "plt.rcParams['xtick.labelsize'] = 8\n", "plt.rcParams['ytick.labelsize'] = 8\n", "plt.rcParams['legend.fontsize'] = 10\n", "plt.rcParams['figure.titlesize'] = 12\n", "plt.rcParams['image.cmap'] = 'jet'\n", "plt.rcParams['image.interpolation'] = 'none'\n", "plt.rcParams['figure.figsize'] = (16, 8)\n", "plt.rcParams['lines.linewidth'] = 2\n", "plt.rcParams['lines.markersize'] = 8\n", "\n", "colors = ['xkcd:pale orange', 'xkcd:sea blue', 'xkcd:pale red', 'xkcd:sage green', 'xkcd:terra cotta', 'xkcd:dull purple', 'xkcd:teal', 'xkcd:goldenrod', 'xkcd:cadet blue', 'xkcd:scarlet']\n", "#cmap_big = cm.get_cmap('Spectral', 512)\n", "cmap_big = plt.colormaps[\"Spectral\"].resampled(512)\n", "cmap = mcolors.ListedColormap(cmap_big(np.linspace(0.7, 0.95, 256)))\n", "\n", "bbox_props = dict(boxstyle=\"round,pad=0.3\", fc=colors[0], alpha=.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Regressione lineare\n", "\n", "Nella regressione lineare, abbiamo:\n", "\n", "- Un insieme di $n$ osservazioni di due variabili $\\mathbf{x}\\in\\mathbb{R}^d,t\\in\\mathbb{R}$: $(\\mathbf{x}_1,t_1),\\ldots,(\\mathbf{x}_n,t_n))$ è disponibile. Vogliamo utilizzare queste osservazioni per predire, per ogni nouvo elemento $\\mathbf{x}$, il corrispondente valore sconosciuto $t$ della variabile target.\n", "- Il training set è dato da una coppia di vettori $\\mathbf{X}=(\\mathbf{x}_1,\\ldots,\\mathbf{x}_n)^T$ e $\\mathbf{t}=(t_1,\\ldots,t_n)^T$, che assumiamo correlati attraverso un regola (funzione) sconosciuta\n", " \n", "Vogliamo predire il target $t$ associato a un elemento in input $\\mathbf{x}=(x_1,\\ldots,x_d)$ mediante una opportuna combinazione lineare delle feature dell'elemento\n", "\n", "$$\n", "h(\\mathbf{x},\\mathbf{w})=w_0+\\sum_{i=1}^dw_ix_i\n", "$$\n", "Più sinteticamente, $h(\\mathbf{x},\\mathbf{w})=\\mathbf{w}\\cdot\\overline{\\mathbf{x}}=\\overline{\\mathbf{x}}\\mathbf{w}$, dove $\\overline{\\mathbf{x}}=(1,x_1,\\ldots,x_d)$.\n", "\n", "Questa è una funzione lineare sia dei parametri $\\mathbf{w}$ che delle feature $\\mathbf{x}$.\n", "\n", "\n", "### Modelli con funzioni base\n", "\n", "In realtà, la proprietà fondamentale dei modelli di regressione lineare è che siano lineari rispetto ai parametri, ma non necessariamente rispetto alle feature. Applicando opportune funzioni base non lineari alle feature degli elementi, i modelli lineari sono in grado di modellare non linearità arbitrarie tra elementi e target. Un sempio, considerato più avanti, di ciò è rappresentato dalla _regressione polinomiale_. Un modello di regressione lineare $y(\\mathbf{x}, \\mathbf{w})$ può quindi essere definito, in modo più generale, come\n", "\n", "$$\n", "h(\\mathbf{x}, \\mathbf{w}) = w_0 + \\sum_{j=1}^{m-1}{w_j \\phi_j(\\mathbf{x})} = \\sum_{j=0}^{m-1}{w_j \\phi_j(\\mathbf{x})} = \\boldsymbol\\phi(\\mathbf{x})\\mathbf{w}\n", "$$\n", "\n", "dove $\\boldsymbol\\phi(\\mathbf{x})=(\\phi_0(\\mathbf{x}),\\phi_1(\\mathbf{x}),\\ldots,\\phi_{m-1}(\\mathbf{x}))$, $\\phi_j$ sono funzioni base e $m$ è il numero totale di parametri $w_j$, incluso il termine noto (_bias_) $w_0$. In questo caso, stiamo utilizzando l'assunzione $\\phi_0(\\mathbf{x}) = 1$. \n", "\n", "Le famiglie di funzioni base più diffuse sono le seguenti:\n", "- Funzioni base polinomiali $\\phi_{j}(x)=x^{j}$\n", "- Funzioni base gaussiane $\\phi_{j}(x)=\\exp\\left(-\\frac{(x-\\mu_{j})^{2}}{2s^{2}}\\right)$ (local)\n", "- Funzioni base sigmoidali $\\phi_{j}(x)=\\sigma\\left(\\frac{x-\\mu_{j}}{s}\\right)=\\frac{1}{1+\\exp\\left(-\\frac{x-\\mu_{j}}{s}\\right)}$\n", "- Funzioni base con tangente iperbolica $\\phi_{j}(x)=\\tanh(x)=2\\sigma(x)-1=\\frac{1-\\exp\\left(-\\frac{x-\\mu_{j}}{s}\\right)}{1+\\exp\\left(-\\frac{x-\\mu_{j}}{s}\\right)}$\n", "\n", "Si noti che le funzioni base gaussiane, sigmoidali e con tangente iperbolica sono tutte funzioni _locali_, nel senso che sono (essenzialmente) costanti quasi ovunque.\n", " \n", "La forma più semplice di regressione lineare può essere vista comunque come un caso speciale di applicazione di funzioni base, in questo caso l'identità $\\boldsymbol\\phi(\\mathbf{x}) = \\mathbf{x}$. \n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# definizione delle funzioni base considerate\n", "\n", "from functools import partial\n", "\n", "def identity_basis_function(x):\n", " return x\n", "\n", "def gaussian_basis_function(x, mu=1, sigma=0.1):\n", " return np.exp(-0.5 * (x - mu) ** 2 / sigma ** 2)\n", "\n", "def polynomial_basis_function(x, power=2):\n", " return x ** power\n", "\n", "def sigmoid_basis_function(x, mu=1, sigma=0.1):\n", " return 1/(1+np.exp(-((x-mu)/sigma)))\n", "\n", "def tanh_basis_function(x, mu=1, sigma=0.1):\n", " return 2/(1+np.exp(-((x-mu)/sigma)))-1\n", "\n", "# applicazione di una funzione base a tutti gli elementi di un vettore\n", "def expand(x, bf=None, bf_args_list=None):\n", " if np.isscalar(x):\n", " x = np.full((1,1),x)\n", " if bf:\n", " if bf_args_list:\n", " ll = np.array([partial(bf, **bf_args)(x) for bf_args in bf_args_list]).squeeze().T\n", " if ll.ndim==1:\n", " ll = ll.reshape(-1,1)\n", " else:\n", " ll = np.array(bf(x))\n", " else:\n", " ll = np.c_[np.ones(x.shape[0]), x].squeeze()\n", " if x.shape[0]==1 or ll.ndim==1:\n", " return ll.reshape(1,-1)\n", " else:\n", " return ll" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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2mTx5Ml26dKFevXp06tSJl19+2a3m7RZCCCGEEEIIKIea8A8++IANGzaQlpbGK6+8QnR09Dm3W7hwId9//z1KKZo3b84dd9yBh4cHABs2bODTTz/F4XAQExPD/fffj4+PT1mH6lYyMzNZsmQJjz/+OH5+fufc5vS0VLqu8/zzz1OnTh2OHDnCE088waRJk5gyZUqpjmW327n99tu58cYbmTVrFjabjU2bNjn3/8ADD9CsWTNeeukldF1nx44deHqe+6WUl5dHr169GD9+PN7e3nz99deMHDmSpUuXEhUV5dzu7bff5tFHH+WBBx7gl19+YcKECSQkJFC/fn0A/P39mTFjBhEREezatYvx48cTEBDAfffdV+pzKIQQQgghhBBmK/MkPCEhgcGDB/PMM8+cd5vU1FS+/PJLpk6dSnBwMC+//DILFy6kT58+FBYWMmfOHCZOnEhUVBTvv/8+3333HTfeeGNZh+qkrFZIOVZu+z+viNpgsZRq08TERJRS1KtXr8Ty5s2bY7VaAbjtttt48sknufPOO53ro6OjefTRR5kwYUKpk/CcnByys7O58sorqVu3LgANGjRwrk9KSuKee+5xJshxcXHn3VezZs1o1qyZ8/5jjz3GvHnzWLBgASNHjnQu79WrF7fddhsAo0eP5t1332XlypXOYzz88MPObevUqcOBAwf48ccfJQkXQgghhBBCuJUyT8KbNm16wW1Wr15N+/btCQkJAaBPnz78+OOP9OnTh02bNhEXF+esJe3bty9Tpkwp1ySclGMYkx4pv/2fh/7UDKjf+KIec7o2+rRffvkFwzB44IEHnMn4ihUreOONN9i3bx85OTk4HA4KCwvJz88/by36mUJDQ/m///s/RowYQdeuXenatSvXXHMN4eHhANx11108+uijfPvtt3Tt2pWBAwc6k/V/ys/P59VXX+WPP/7gxIkT2O12CgsLSUpKKrHdma8bTdOoWbMmGRkZzmU///wz7733HomJieTl5eFwOAgICCjVORNCCCGEEEIIV2HKwGzp6enUrFnTeT8sLIz09PRzrqtZsyaZmZkYhoGun7sLu81mK9E/WNM05+Bg/0xazymidnFCXNEiapd607p166JpGvv37y+xPCYmBsDZXP/YsWPccsst3HTTTTz66KOEhISwbt06xo4d6zxHuq6jlCqxH7vdXuL+jBkzuP3221m0aBE//vgjL7/8Mv/73/9o164dY8eOZciQIfz5558sWrSI6dOn89Zbb9G/f/+z4n7hhRdYsmQJTz/9NHXr1sXHx4e77rqLoqKiEtv9szm7pmkYhgEUd0+47777GDt2LD169CAwMJAffviBd955p9Tnr6oq1eu/Ejj9PKvK83VXUk6uRxkOyEiDrHRUTjbk54JS5AYHo/LyUf4BaAFBUDMCAoOl7FyIvJ9cX2UuI6UUKPjrH0rx131VvOyv5c5t/lrO6eV/rXP+O33buezMDf/eB4BhGCgFhqH+2k4V31YKpYzi+wqUYRQvA5ShMFAoo3h7pRSG+vugx4/lkZ2d/ddjzjgmfz8RdTraEqGdvq/OeA5nbHvGc4K/zsG5HnPmenXGo0+ftL/38Pc+znUeSxbSOZaddeM8j/2XLdQ/Ny0ZwFn7Okdc5111nkcrpTiWXcSw/p0J8K0c7yfTRkc/8wPpnwnhxZo7dy7ffPON835sbCxTp04tkcyfqaCgAMuZzcAtlouukS5LllI0SQ8PD6d79+589NFH3HXXXfj7+5dYr2kaHh4ebN++HbvdzqRJk5w/Wvz666/O41gsFmrWrElaWhqenp7Octi5cyeappWIpU2bNrRp04YxY8bQv39/fvzxRxISEgBo3LgxjRs3ZvTo0dx99918/fXXDBo0yJlMn97PunXruP766xk0aBAAubm5HDt2DA8PD+c2p2M/89iapqHrOhaLhY0bN1K7dm3GjRvnXJ+cnFzqc1dWKvJYZcHLy4vIyEizw6hQERERZocgSkHKyRxKKezHDmPdvgHrrm0U7duJ4/hRsJ89yGXWOR6v+fljiY7Dq3ELvBu3xLtlPB7BIeUet/h38n5ybYahqF49DMOhsNsNDIfCceaf3Sh5/x/LDUdxsmg4it/DZ943DOX8U8bf9x0OA4fDjt1ux+Gw43A4sDscOBwOHA47hsPAYdgxlAPD4UApA8OwYxgGhnKgDEfxOmWglANlGBjKAIziJJW/kl0UCuOv6/gz/qNAGSj+2uYc69Vf+yuRmPJXUl0i8VXOdUJs3BHJ/w1MMDuMMmFKEl6jRg1SU1Od99PS0qhRo4Zz3fbt20usq1at2nlrwQGGDh3KwIEDnfdPJ5ZpaWln1fACFBUVuczI2haLpdSxTJ48mSFDhtCnTx/GjBlD06ZN0TSNLVu2sG/fPpo3b07t2rWx2+28/fbb9OnTh3Xr1vHRRx8Bf7cY6NixIxkZGbz22mtcffXVLF68mIULFxIQEIDNZuPIkSN8/vnn9OnTh4iICA4cOMCBAwe49tpryc7OZtKkSVx99dVER0eTnJzMpk2bGDBgADabzXm+Tz+nmJgYfv75Z3r16oWmaUybNg3DMHA4HM5tlFIl7p9eZhgGNpuN6OhokpKS+Oabb2jVqhV//vknv/zyS4njlLeLKSdXUVRU5PyxorLTNI2IiAhSUlIu+0c9UX6knCqeUgoO7cVYuxS1ZR2kJYOuQ+1YtLhG6F2ugvBaaNVrgn8g+Aege3gSERFB8tGjqNxTkJONSkuBE0nYjh6iaPkf5H7/X9B0iGuE3roDWsfuaNXO/cO3KB/yfio7SinsNrDZFHabcv632xWOv/7sDopvOxQOO8XrHKfX47xtP33bcTpx/rfjOjCUDcOwFf9XNpSyYRhFGNgAG+Ao3g47KAeGsqOwo5Qdw3AU///rdvF/O0o5LvlcFFeCeBT/aR7ouo6u62iajqbr6B46HrqOpmlo2ul1px/zz2V6icfrulZynaaj/fWY4v3h3O/fty/uT//rP7qGhvZXTNpZ+9eL7ziXVasWStbJk5yuItT0v1oxnHFe/rpB8c3T/09vc/q+7lz+97Z/r9dOb11iH3/v6O/WEyXX/zMOTT8zupLld9ZSreT6f1l91i7/uf2F7p/Lhba50PrjOUU89PNBetUL4f8GtnH5zzxPT8/zVgSX2K4CYjlLx44deeaZZ7juuusIDg7m999/p3PnzgC0bt2a999/n6SkJKKiopg/f75z3fmcruE9F1cupItVt25d5s+fzxtvvMFLL71EcnIyXl5eNGzYkHvuuYdbb70VX19fnn32Wd566y2mTJlCQkICEyZM4KGHHnLup0GDBrz44ou88cYbzJw5kwEDBnD33Xfz+eefA8Vzfe/fv5+vv/6arKwswsLCGDlyJDfffDN2u52srCweeugh0tPTqVatGv3792fs2LHnjHnixImMGTOGwYMHU61aNUaPHk1ubu5FPe++ffty55138uSTT1JUVETv3r15+OGHefXVVy/9ZFYRlen1XxpKqSr3nN2RlFP5U3m5qGXzUSv+gJQkCKmG1qoDWss7oFELNO/zzzjiLBtPTwiuBsHV0GrXBf6+PlMnM1DbN6K2rsP46X/w3SfQuCV6937QJgFN9yjfJyic5P1UTBmKIpuiyKqwWRVFRYoiq0FR0d/3z0ywnYm2rThx/je6Dh4eGh6e4OGpOW/rOui6A83Diq4XoTyteBpWNEcRmqMQu6MITVPk5eVQZCvE7rBhtxVhsxdhsxU5u92dy+nWiRaLBU9PT+f/038Wi88Zty3nvO3h4eH803W9xP3z/VXGpvMXomkakZGRJCcny3vJBP92zh2G4rWVxwn19eS2NmHO7StDOWmqjJ/Fe++9x/r16zl58iSBgYH4+PjwxhtvMGfOHOLj44mPjwfgjz/+4IcffigxRdnppszr16/ns88+w+FwEB0dzejRo0s1oNg/paWlnbP2Mjs7m6CgoMt7omXEHWtYqyJ3LCdXep2XN/kCdQ9STuVPpaWg/vwJtfx3cNjR4rugdeoFjVuUOjG+2HJSBfmojSuLE/59O6FGONqVg9Gu6I3m43u5T0mcR1V4PxkOhdWqsBYYFBYqrIUGhQV//S80KCosTrqLihS2onOfA08LeHnpWLw0LF4anp4aFouGpwU8Ladv//3fwxPARpGtgKKiAqxF+RQUFJCfn09eXh75+cX38/LyKCgowOE4u9ZZ0zS8vb3x8fEhKCgIXdfx9vbGy8ur1H9ndhkU5asqvJfc1fe7MvhoYxqT+0TTPNzfLcrpdNffCynzJNyVSBIuyoo7lpMrvc7Lm3yBugcpp/KjTmaifvpfcfLt64/Wc0DxX1DoRe/rcspJHd6PWvA9av1y8PNHG3g9Wvd+aJ7uNaaGO3D395NhKAoLFAX5BgV5BgX5Bvl//S8sKE62z0qsNfD21vD20fHx1fD21vHy0fD6K8H28tbw8tKL/3sXL9P1komszWYjNzeXnJwccnJynLfP/P/P73sPDw/8/PzO+efj43PWn5eXl7MJtDuXUVUh5eSajpyyMubXRAY0DGFUu3C3KafSJuGmDcwmhBBCiMujCgtQ8+eiFswFixfatbehde+P5u1tSjxaTH20O8ehht2C+uUr1Jfvo/78CW3oLWjxV0jNXhVjK1Lk5TrIyzHIyzXIzXFQkGeQn1+cZJ851pbFS8PPX8fXT6d6TU98fHW8fbQS/728NGdf3X9TWFhI1smTnDp1ipN//T99u6CgoMS2fn5+BAQEEBgYSExMDAEBAQQEBODv7+9MtE8n1UKIilHcDD2Z8AALI1pVzvFGJAkXQggh3JDashbj8zmQm43W+xq0/tei+QWYHRYAWvUwtFvuR/UehPHdx6h3XkYta4V+071oYbXMDk+UIaUU+XkGOacMck4VJ9y5fyXeRda/s2wvbw3/AB2/AJ3qYZ74+hUn3L5/Jd6enheX5CqlyM3NJSMjg8zMTOf/kydPYrVandv5+voSHBxMSEgI0dHRBAUFERgYSGBgIP7+/mdNkSqEMN/XOzI4mFXI1Kti8PY8/+Dc7kw+eYQQQgg3ok5mor54F7VhBTRvhz7iHrQa4WaHdU5aVDQeDzyN2rEJ47O3MCY+iHbN9Wh9hqBJ8uN2rIUG2ScdZJ9yOJPunGwHjr8GNrNYNPwDdfwDdcIiLPgHFN/2D/DA4nXpNclFRUWkp6eTmppKenq6M+k+3WzcYrFQrVo1qlWrRlxcHCEhIQQHBxMcHIy3Sa1ChBCXZl9GAV9uS2d48+o0rFF5xxWRb0AhhBDCTaiNKzE+fhM8PNDuGIvWoZtbNJPVmrVBn/gG6sf/oeZ+htqwEv3OcWjhUivuqqxWg1OZDk5lOTiZ6eBklp3C/OKabd0DAoM8CAzWqVXHQmCwB4HBHvj4apf9erTZbKSmppb4y8oqnrnew8ODatWqUb16derVq+e8HRgY6BbvAyHEvyu0G7y6Ipl61Xz4v+Y1zA6nXEkSLoQQQrg4ZbWivnoPtXQ+tO2MfvN9aAHuNfCi5u2DNnwkqn0XjHenY7zwMNoNd6N17iUJlMmUocg+5SAz3UFmmp2szOK+21A8unhINU9qR3sRXM2DoBAP/P31UvXNLo3c3FyOHz9OcnIyycnJpKWloZTCw8ODmjVrUrt2bdq2bUtYWBjVqlXDw0OmvxOisvpoYyrp+Tae7FEXzzL6jHFVkoQLIYQQLkwdP4IxZypknEC7eTRa16vcOmnV6jZAf3oG6ot3UB+9Bjs3wc2jZTqzCuRwKLIy7GSmOchMt5OVbsduB02HkFAPIqMshFT3ICTUA78AvUxfbzk5ORw9epSjR4+SnJxMdnY2AEFBQdSqVYtmzZoRGRlJtWrV0PXK2RdUCHG2DUm5/LbvJHe3D6d2UOXvRiJJuBBCCOGi1KbVGO/PgBph6E/NQIusY3ZIZULz8UW77SGMpm1Qn8xCJY1HH/0kWs0Is0OrlJRSZJ80SD9hIzXFTma6HcNRXMtdrYYn9Zv4UK2mJyGhHnhc5ABpF2K1Wjl27BhHjhzh6NGjnDx5EoCwsDDi4uKIjIykVq1a+Pv7l+lxhRDuI7vQzhurk2kb6U//BiFmh1MhJAkXQgghXIwyDNTPX6B++qK4+fnIhyplTbHeoRsqqi7GrEkYk8ei3/UoWtPWZodVKVgLDVKT7aSdsJF+wo61UKF7QPWanjRu4UONMAtBIWVby33ayZMnOXjwIIcOHeL48eMopQgODqZOnTp07tyZ2rVr4+PjU+bHFUK4H6UUb61NwW4oHugU6dYtvS6GJOFVxMqVKxk+fDg7d+4kODiYL7/8kokTJ7Jr1y6zQ+O6666jadOmPP/886Xa/p/PRQghKhNVZC2u/d60Cm3ITWgDhlfqixItKhr9yVcx3pmGMXMi2g13ofccYHZYbik3x8GJJBspSTYyMxygIDjUgzqxXtQM9yS0hiceHmX/WlJKkZKSwsGDBzl48CBZWVl4eHhQp04devToQXR0tHxfCyHOadGhbFYdzeWxrrWo5lt1UtOq80wrgYcffpivv/4aAE9PT2rVqkX//v0ZN24cfn5+F7WvQYMG0bt37/II86K9++67WCwWs8MQQgjTqdxsjDcnwdGD6PdNQGudYHZIFULzD0B/6BnU1x+i/jsHIysNbegtlfrHh7KglOJUlp2kI0WkJNnIzTbQPaBmuCet4n0Jr2XB26d8+lUrpUhLS2Pv3r3s3buX3NxcfH19iY2NpXPnzkRHR8t3uxDiX53ILeKddSfoFRdE52j3Gmz0ckkS7mZ69uzJq6++is1mY+3atYwbN478/Hxeeumli9qPr68vvr6u0bQxNDTU7BCEEMJ0Kv0ExmsTITcHfexktLhGZodUoTTdA+0/d2CE1kB9/QFkZcKt96N5SiL3T7k5Do4fsbF0wQFOZhZh8dKIqGWhcQtPakZY8Czjft1nyszMdCbeJ0+exMfHhwYNGtCwYUMiIyNlMDUhRKk4DMXMlckEeuvc0S7c7HAqnHxSuhkvLy/CwsKIiopi6NChDBs2jPnz52O1Wnn66adp2bIlcXFxDBkyhM2bN593P19++SVNmjRx3p8+fTp9+vThm2++oWPHjjRu3Jh7772X3Nxc5zYXOsbKlSuJiopi8eLFXHXVVdSrV4/hw4eTnp7OwoUL6d69O40aNeK+++6joKDA+bjrrruOZ555xnn/22+/pX///jRs2JDWrVszevRo0tPT//W8rFu3jmHDhlGvXj3i4+N5+umnyc/Pv4gzK4QQ5lFJRzBeGg8OB/rjL1e5BPxM+lVD0O4ch1q/DOONSSir1eyQXIK10ODAnkKWLshh0a857N9dSM0wXzp2C+CqwUG07uhHZG2vcknAbTYbO3fu5Ouvv+azzz5j8+bNREZGMnjwYO644w569uxJVFSUJOBCiFL7flcmu9IKeLhTLfy9qt7Ug/Jp6eZ8fHyw2WxMnjyZX3/9lZkzZzJv3jzq1q3LiBEjyMrKKvW+Dh8+zPz58/n444/5+OOPWb16NW+++aZzfWmPMX36dCZPnswPP/zA8ePHueeee3jvvfeYNWsWn3zyCUuXLuWDDz44bxw2m41HH32U33//nffff58jR47wyCOPnHf7Xbt2MWLECPr378/vv//O7NmzWbt2LU8++WSpn7sQQphFHT2E8coTEBiC/vhUtPBaZodkOr1DN/SHJsKBXRivT0QVVs0fVZWhSE22sX5FHr//lM3urYX4+um06+xH3yEh9OofRXgtC3o5zad74sQJFi5cyHvvvccff/yBxWKhX79+3HHHHfTp04eYmBhJvIUQF21/RiH/3ZrG0KbVaBZ+cV1qKwtpjg5Y7QbHsosq/Li1g7y4nO5SmzZtYu7cuXTu3JlPPvmEGTNm0KtXLwCmTZtGQkICX3zxBffee2+p9mcYBjNmzCAgIACAa6+9luXLlwOQn59f6mOMHz+e9u3bA3DDDTcwZcoUVq5cSUxMDABXX301K1euZPTo0eeM4/rrr3fejomJ4YUXXuDqq68mLy/vnFOYzJ49myFDhnDnnXcCEBcXxwsvvMC1117LlClTZARWIYTLUof3Y7z6DNSMQH/kOTT/QLNDchla45boDz+H8fpzGDOeRX/oWTS/ALPDqhAF+QZHDhZx9JCVgnxFYJBO01a+1I6x4OVdnPSWV395h8PBgQMH2LRpEydOnCAgIIA2bdrQtGlTgoKqVp9NIUTZK7AZTF+RREyIDze2rGl2OKaRJBw4ll3EmN8SK/y4r/avS2Pfi5uM/o8//qBBgwY4HA5sNht9+/Zl1KhR/PLLL87EF8BisdC6dWv27dtX6n3XqVPHmYBD8RyeGRkZACQmJmKz2Up1jKZNmzpv16xZE19fX2cCfnrZvzWV3759O9OnT2fHjh2cPHkSwzAASEpKomHDhmdtv23bNhITE5k7d65zmVIKwzA4evQoDRo0KOUZEEKIiqMO7MZ47TmIrF2lEsyLodVvgj7mBYwZz2JMfxp9zPOV9ocKpRSZ6Q4O7bWSnGTDwwOior2IjvMipJpHuQ9SV1BQwPbt29m6dSt5eXnUrl2bgQMHUrduXantFkKUmXfWnyCzwM6MHnWwlMNsDe5CknCKa6Rf7V/XlONerM6dOzNlyhQsFgvh4eFYLBZ27NgBnP2ruFLqor60PT1Lvhw0TXMmwEqpUh/jn/v55+ioZ+73n/Lz87nhhhvo3r07b7zxBtWrVycpKYkbb7yRoqJzt1YwDIObbrqJUaNGnbUuKirqnI8RQggzqQO7MWY8C3Vi0R98Bs23ajbHKw2tbgP0RydjTH8KY+ZE9DEvVKrz5XAojh+1cWivlVNZDvwDdVq08aV2XS88LeV/gZqbm8vGjRvZvn07SikaNWpE69atqVGjRrkfWwhRtSxNzGbhwVM81CmSWpeQB1UmkoQD3p469aq5R5NlPz8/YmNjSyyLjY3Fy8uLtWvXMnToUKC4X/WWLVucTbQvV0UcA2D//v1kZmYyYcIEZwK9ZcuWf31MixYt2LNnz1nnRQghXJE6eqi4Bjw6Fv3BZ9F8XGOmClem1Y5Ff+R5jFeewnjjefSHJqJ5u8f39vnYbYrEA1YO7rFiLVTUjPCkYzd/akZ4VsjUbNnZ2axfv56dO3disVho27YtLVu2vOgpT4UQojRO5BYxe20K3WKC6BkrXVskCa8E/Pz8uPnmm5k0aRIhISFERUXx1ltvUVhYWKJ/tasfA4prrr28vPjwww+5+eab2bNnDzNnzvzXx9x3331cc801PPHEE9x44434+fmxf/9+li5dyqRJk8osNiGEuFwqJQljxjMQFon+wDOSgF8ELboe+kPPYsx4BuOtF9HvfxrNDeehLrIaHNpn5dC+Iux2RZ0YL+IaexMYVDGjA586dYq1a9eye/duvL29SUhIoEWLFnh7X1z3OCGEKC27oZi+4jgBXh7c0yG8Qn5odHWShFcSTzzxBEopHnzwQfLy8mjZsiWff/45ISEhbnWM6tWrM2PGDF566SU++OADmjdvztNPP83IkSPP+5imTZvy7bffMnXqVIYNG4ZSipiYGAYNGlRmcQkhxOVSGWkYM56GgKDimtxK1KS6omj1GqPf/xTG689jvD0V/Z7H0Tzd41LGWmhwYLeVxANWlIKYOC/qNfbB169i+lsXFBSwbt06tm7dio+PD126dKF58+ZndRkTQoiy9sXWdPZlFPLSVTFVcjqyc9HU6c6+lVBaWho2m+2s5dnZ2S4zwqfFYjlnjMK1uGM5udLrvLxpmkZkZCTJyclU4o80t1eVy0llZ2FMnQCGA338S2ih1c0O6bzcoZzUtg0Ysyajte+KNuphl65VsRUpDuwp5OBeKxpQt4E3cQ298fa5vOS7tOVks9nYvHkzGzZsQClFfHw8rVu3luS7ArjDe0lIOZW3bSfyePqPo4xoVYPhzS99rAl3KSeLxULNmhce9d09fj4WQggh3JQqLMB47XmwFqI/5toJuLvQWrRDG/Uw6t1XoFoNtKE3mx3SWRx2ReJ+K/t2WXE4FLH1vanfxNs5xVh5U0qxe/duVq5cSUFBAS1btiQ+Pl76fAshKky21cGMFck0C/djWFP57juTJOFCCCFEOVEOB8Y70yD1eHENeM0Is0OqNPQO3TCyMlDffIgRWgO9R3+zQwKKk99jiTZ2byvAWqiIjvOiQdOKa3YOxS0BFy9eTHJyMg0aNKBz584EBwdX2PGFEEIpxZurkylyGIzpHImH7rotlswgSbgQQghRDpRSqP/OgR0bi0dBryMzOJQ17aohkJWO+u/bqJBqaK07mhpPZrqdHZsKOJnpILKOhSYtfPAPrLj+j4WFhaxatYrt27cTGhrK0KFDqVOnToUdXwghTpu37yRrjuXyRLcoqvtJ95d/kiRcCCGEKAdq3reopfPRbn0ArVkbs8OplDRNg/8bhcrKwHh3GvqYSWj1Gld4HAX5Bru2FJB0xEZwqAedewVQvWbFXmLt37+fxYsXY7PZ6NKlCy1btsTDQwZAEkJUvIOZhby/IZUBDUPoWCfQ7HBckiThQgghRBkz1ixBffcJ2sDr0bv0MTucSk3TPdDvGIPx6jMYsyajP/kqWvULD4pTFgxDcXCPlT07CrFYNFq196VOXS+0Cmx2mZeXx6JFizhw4ABxcXH06NGDgICACju+EEKcKd/mYOqyJKJDvBjVNszscFyWJOFCCCFEGVKH9qI+eh0toSfaoBvMDqdK0Cxe6PdNwJg8FuPNScUD4JXzHOyZ6Xa2rs8nN9sgtqE3DZv5YLFUXPKtlGLDhg38+OOP6LpO//79qV+/vkuPFC+EqNyK+4GnkG11MLFXHSweFTcWhruRJFwIIYQoI+pkBsasFyGmHtot90tCVIG0wGD0B57GmDIe4/0Z6Pc+jqaX/QWgrchg19ZCDh8oIqSaB137BBAcWrGXU4WFhSxcuJD9+/fTuHFjunbtiq9v+f7oIIQQF/LbvpOsOJLD+K61iAz0MjsclyZJuBBCCFEGlK0I460poGno905Ak3mYK5wWFYN+5ziMWZNQP3xe5lOXJR8rYtuGAhx2RfO2vtStV7FNzwGOHj3KggULsNvtjBgxgho1arj0nLlCiKrhwF/9wK9uGMIV0UFmh+PyJAkXQgghLpNSCvXpLDiWiD5+ClpwqNkhVVlaq/Zo196K+uYjjMg66Ak9LnufRUUGOzYWcOywjfBanrRo51ehU44BOBwOVq1axcaNG6lduzZXXXUVDRs2JDk5uULjEEKIf8orcvDysiRiQrwZKf3AS0Ua6lciUVFRzJs3z+wwWLlyJVFRUZw6deq823z55Zc0adLkovbbsWNH3n333csNTwghypz6/QfUqkXFI6HXbWB2OFWedtVQtE49UZ+8iTpy4LL2lZpsY8m8HFKO22jdwY/2XfwrPAHPycnh22+/ZfPmzXTp0oWhQ4cSGCgjDgshzKeU4s01xf3Ax3epJf3AS0lqwt1Ieno6L7/8MosWLSI9PZ3g4GCaNm3KmDFjiI+PZ9OmTQQHB5sdpjOWoCBpiiKEqPzU9o2obz5C6zsMvWN3s8MR/DV12c2jUcePYsx+Cf2pV9H8Ly5ptdsUOzYXcORgETXCPWndoeJrvwGOHDnCvHnz8PT05NprryUyMrLCYxBCiPP5de9JVh7J4bGutYiQfuClJkm4G7nzzjux2WzMnDmTmJgY0tLSWL58OSdPngQgLMw1mn94eXm5TCxCCFGeVFoKxrvToFkbtGFl2/9YXB7N4oV+z2MYk8ZgvDcd/YFnSj1Q26ksOxtW5lNYYNCinS8x9bwqfJA9pRTr1q1j9erVREdH07dvXxl8TQjhUvZlFPDBxlQGNgqls/QDvyjSXsBNnDp1irVr1/Lkk09yxRVXULt2bdq0acMDDzzAlVdeCZzdHH3dunX06dOHuLg4+vfvz7x584iKimL79u3A383GFy9ezFVXXUW9evUYPnw46enpLFy4kO7du9OoUSPuu+8+CgoKnPu1Wq08/fTTtGzZkri4OIYMGcLmzZud68/VHP3LL7+kffv21KtXj9tvv52srKwSzy8xMZGRI0fSqlUrGjRowIABA1i6dOm/npPs7GzGjx9Py5YtadSoEcOHD2fHjh2XfI6FEOJiKFsRxpyp4BeAfsdYNN3D7JDEP2g1wtHvHAc7NqF++uKC2yulOLTXyvI/cvHw1OjWN5C69b0rPAG32Wz8+uuvrF69mg4dOjBo0CBJwIUQLiW3yMG05cepG+LNbW1qmh2O25Ek3E34+/vj7+/PvHnzsFqtF9w+NzeX2267jcaNGzNv3jweffRRJk+efM5tp0+fzuTJk/nhhx84fvw499xzD++99x6zZs3ik08+YenSpXzwwQfO7SdPnsyvv/7KzJkzmTdvHnXr1mXEiBFnJdanbdy4kbFjx3LrrbeyYMECOnfuzOuvv15im7y8PHr16sUXX3zB/Pnz6d69OyNHjiQpKemc+1RKccstt5Camsqnn37Kb7/9RosWLfjPf/5z3jiEEKIsqS/eheNHiqfC8g8wOxxxHlqzNmiDR6B+/gK1Zd15tyuyGqxbkcf2TQXE1POiy5UBBARW/A8rOTk5fPPNNxw5coSBAweSkJCAXg5TrQkhxKUylGLmymRyixw8Kv3AL4k0RwfsdkVutqPCjxsQ5EFpZ7Dx9PRkxowZjB8/ns8++4zmzZuTkJDA4MGDadq06Vnbf/fdd2iaxrRp0/Dx8aFhw4akpKTw6KOPnrXt+PHjad++PQA33HADU6ZMYeXKlcTExABw9dVXs3LlSkaPHk1+fj6ffPIJM2bMoFevXgBMmzaNhIQEvvjiC+69996z9v/+++/To0cP7r//fgDq1avH+vXrWbx4sXObZs2a0axZM+f9xx57jHnz5rFgwQJGjhx51j5XrFjB7t272bJlC97e3gA888wzzJ8/n19++YWbbrqpdCdWCCEugbFyIWrp/OK5wKPrmR2OuACt/3WoQ3sxPngV/clX0cJK9qvOTLezYVUeDju07+JPRJQ508ulpKTw888/4+HhwfDhw6lRo4YpcQghxL/5ZkcG65JyebpHbekHfokkCQdysx0s+z23wo/btU8AF9O67Oqrr6Z3796sXbuWDRs2sGjRImbPns20adP4z3/+U2LbAwcO0KRJE3x8fJzLWrdufc79npnE16xZE19fX2cCfnrZ6ebmiYmJ2Gw2Z9IOYLFYaN26Nfv27Tvn/vft20f//v1LLGvXrl2JJDw/P59XX32VP/74gxMnTmC32yksLDxvTfi2bdvIy8ujefPmJZYXFhZy+PDhcz5GCCHKgjqWiPr8LbROvdC69DE7HFEKmq6jj3oYY/JYjNlT0CdMQ/PyRinF4f1FbN9cQEioB+06V/zI56ft27ePBQsWEBYWxtVXX42fn58pcQghxL/ZlJzHf7ek858W1YmPklZgl0qScIprpLv2qfgXUUDQxTdz8/HxoVu3bnTr1o1HHnmEcePGMX369LOScKXUWX3YlFLn3KenZ8mXgeUf1fOapmEYRol9nGvf5+szd77jnumFF15gyZIlPP3009StWxcfHx/uuusuioqKzrm9YRiEhYXxzTffnLXOFUaIF0JUTqogH2P2SxBWC23EvRXeV1hcOs0vAP3exzFefBT15fsYN97Ltg0FHD1URN36XjRr7YvuYU55btmyhSVLltCoUSN69+591veyEEK4gtRcG9NXHKdNpD//aS4tdS6HfMoDnp4aIdXc81Q0aNDgnHOD169fn7lz52K1Wp3Ntbdu3XrZx4uNjcXLy4u1a9cydOhQoHgAmS1btnDnnXee8zENGzZk48aNJZb98/7atWsZPny4s8Y8Ly+PY8eOnTeOFi1akJaWhqenJ3Xq1LmcpySEEKWilML4+HXIzkJ/agbaX5+twn1otWPRrr+T/K++YGPgEHLsfrTu4EedWHOaUyqlWL16NevWraNNmzZ06dJFftgRQrikIofB1GVJ+HrqjLmiFh66fFZdDulF7yYyMzMZPnw43377LTt37uTIkSP89NNPzJ49m759+561/dChQzEMg/Hjx7Nv3z4WL17MnDlzgLNrsS+Gn58fN998M5MmTWLRokXs3buXRx99lMLCQq6//vpzPmbUqFEsWrSIt956iwMHDvDhhx+WaIoOULduXX777Te2b9/Ojh07GD16tLP2/Vy6du1Ku3btGDVqFIsXL+bo0aOsW7eOqVOnsmXLlkt+fkIIcT5qyW+wYSX6bQ+hhdcyOxxxiTIb9WLFFS9SdCqfK9oUmpaAG4bBn3/+ybp16+jSpQtdu3aVBFwI4bLeXX+CwyetPN4tikBvmQ3kcrln9W8V5O/vT9u2bXn33Xc5fPgwNpuNWrVqceONN/LAAw+ctX1gYCAfffQREyZM4KqrrqJx48Y88sgjjB492lkzfqmeeOIJlFI8+OCD5OXl0bJlSz7//HNCQkLOuX27du145ZVXeOWVV5g+fTpdu3blwQcf5LXXXnNuM3HiRMaMGcPgwYOpVq0ao0ePJjf3/P30NU3j008/ZerUqYwdO5aMjAxq1qxJQkKCDGQjhChz6lgi6sv30Xr0R2vX2exwxCU6ctDK1vUFVAvzo82Sl/E6qqEem4pW2lFSy4jD4WDevHkcPHiQPn360KRJkwo9vhBCXIzf959kwf5TPJAQQb1qPhd+gLggTZWmw66bSktLw2aznbU8OzuboCDXmFDeYrGcM8by8N133zFmzBh27dol841epIosp7LiSq/z8qZpGpGRkSQnJ5dqDAJhDnctJ2W1YkweA7qO/sQraF6Vuxm6u5bTv1FKsXtbIft3WYmO86JFO1+0owcxXnoUrXt/9OvP3Z2qPNjtdn799VeOHj3KgAEDiI2NvaT9VMZyqmykjNyDlNO/259RyOMLDtMrLpj7OkaYFoe7lJPFYqFmzQvPmy414ZXY119/TUxMDBEREezcuZPJkydzzTXXSAIuhBAXQX31HmScQH/i1UqfgFdGdrti85p8ko/ZaNrah7iG3sXNvmPqoQ0fhfrfO6hGLdDaJFRALHZ+/vlnkpKSGDhwYImZSIQQwtVkWx1MXXaMuqHe3BkfZnY4lYok4ZVYWloar7zyCmlpaYSFhTFw4EAef/xxs8MSQgi3odYvL54P/Ob70KKizQ5HXKTCAoO1y/LIzXacc/5vrefVqN1bMT56DT2mHlq1C9deXCqbzcbPP/9McnIygwYNkkFFhRAuzWEoXl1xnAK74sWuUVg8ZCixsiRJeCV23333cd9995kdhhBCuCWVfgLjk1lo7a5A63r2AJjCteXmOFi9OBeloHOvgHPOgqJpGvqtD2I8/yDG+zPQx76Appf9gEM2m40ff/yR1NRUBg8eTFRUVJkfQwghytKnm9PYkpLHsz3rUNO/YsfNqArKJQlPTk5m1qxZ5OTk4Ofnx+jRo6ldu3aJbZYsWcLPP//svJ+ZmUmTJk0YN24cqampPPjggyV+JR47diwREeb1QxBCCFF1KIcD473p4OePdstoGbXazWRl2Fm7LA8vb42E7gH4+p2/BkfzD0AfNQZj+pOo+XPR+l9XprE4HA5+/fVXTpw4wZAhQ6hVS0bWF0K4tsWHTjF3Vya3twujdaS/2eFUSuWShL/zzjtceeWV9OjRg9WrVzN79mwmT55cYpvu3bvTvXt35/2xY8fSpUsX531/f3+mTZtWHuEJIYQQ/0r9+D84tBf90SlofgFmhyMuQmqyjfUr8wgK9qBDV3+8vC/chFJr1Byt37WoHz5HNWmFVrdBmcRiGAbz5s3j6NGjDB48WBJwIYTL25dRwKw1KfSKC+KaRqFmh1NplXnj/lOnTnHo0CG6du0KQMeOHUlNTSU1NfW8j9m/fz+nTp0iPj6+rMMRQgghLoratxP129do19yAVl+mjnInxxKLWLssj+o1PUnoEVCqBPw0bdANUDsW493pKGvhZceilOLPP//k4MGDDBgwQPqACyFc3skCO1OWJhET4s29HSKkFVg5KvOa8IyMDEJDQ/HwKO5TpWkaNWrUID09nbCwc4+qt3DhQrp164an59/h5OfnM2HCBAzDoH379gwbNgxdP/eXqc1mKzF9lKZpzhHA5cUjqrKq8vo//TyryvN1V+5QTqogH+ODVyGuMfrVw1061vLiDuV0Lgf3FLJ9UwF1Yr1o1d4PXb+4+DWLF9qdY3E8/zDqq/fRb7n/kmNRSrF06VJ27dpF3759qVev3iXv63zctZyqEikj9yDlVMzmULy0LAml4InutfH2LPvxMS5HZSuncmmOfjEnx2q1snLlSiZNmuRcFhoaypw5cwgODiY3N5cZM2bw008/MXjw4HPuY+7cuXzzzTfO+7GxsUydOvW8c7QVFBRgsbjOAAOuFIs4P3crJy8vLyIjI80Oo0LJuBHuwZXLKXPmc+Tn5RLx0jt4Rta+8AMqMVcup3/auCaN7ZsKaNWuOh27hl36RVpkJLl3jyPrjckEd70Sv849L2k3CxcuZMuWLQwdOpSOHTteWiyl5E7lVFVJGbmHqlxOSileXLCH/ZmFvH19W5rXCjY7pPOqLOVU5kl49erVycjIwOFw4OHhgVKK9PR0atSocc7tV69eTVRUVImB2ywWC8HBxYUfEBBAz549Wb58+XmT8KFDhzJw4EDn/dNfvmlpadjt9rO2LyoqKlFzbiaLxeIysYjzc8dyKioqIjk52ewwKoSmaURERJCSkoJSyuxwxHm4ejkZG1dh/P4T+m0PkoYHVJH3zz+5ejmdSSnF7m2F7NtZSKPmPkTXd5CSknJ5+2zZEa1NAhkzn+dkaE20kOoX9fjdu3ezYMECEhISiI6OLrfPYXcqp6pKysg9SDnBr3uz+H5rCg92iqSGlk9ycr7ZIZ3FXcrJ09PzvBXBJbYr6wMHBwcTGxvLsmXL6NGjB2vWrCEsLOy8TdEXLVpEr169Siw7deoU/v7+eHp6YrPZWLt2LbGxsec9psViOW8tpSsXkrh006dPZ968efz+++8Vcqz58+ezYMGCS97H0aNHSUhIYP78+TRv3pyVK1cyfPhwdu7c6fzBqTxUtde/UqrKPWd35IrlpE5lYXzyJrROgM69XS4+M7hiOZ1JKcXOzYUc3GulSSsf6jf2cS6/XNrN96OeexDH+zPQH34O7Tzd4f7p6NGj/P777zRt2pT27dtXyPlz9XISUkbuoqqW0/YT+by7LoVrGoXSOy7Y5c9BZSmncmmOftdddzFr1izmzp2Lr68vo0ePBmDOnDnEx8c7B2BLSUnh4MGDPPbYYyUev3v3br766it0XcfhcNC8eXOGDRtWHqG6hQvNJzp8+HBmzpxZMcFcpo4dO3LHHXdw5513XtZ+7rnnHkaOHFlGUVW8+Ph4Nm3aRFBQkNmhCFHlKaUwPn4DNA1dpiNzC0optm0o4PCBIpq39SW2gXeZ7l8LDEIf9RDGjGdRi35F6z3wgo9JT0/nl19+oXbt2vTs2VNeR0IIl5eaa2PqsiSahfkxsu25K0xF+SiXJLxWrVpnTUkGxYnTmSIiIvjkk0/O2q5jx47l3ofKnWzatMl5+8cff+SVV15h6dKlzmU+Pj5mhGUqf39//P3Ld95CpRQOh6Nc9u3l5XXe1iFCiIqlls2HbevR738aLdB1+8GJYkoptqwr4OihIlq19yU6rmwT8NO0pm3Qeg5AffcRqllrtIjzjxGQm5vLjz/+SFBQEAMGDHAOTiuEEK4q3+Zg0pJj+Fp0Hu0ahcdFDmYpLk+ZT1Emyt7p5vxhYWEEBgaiaZrzvqenJ48//jjt2rWjXr169O7dm++//77E46+77jqefvppJk2aRLNmzWjdujXTp08vsc3+/fsZMmQIcXFx9OjRg6VLlxIVFcW8efOc2yQnJ3PPPffQtGlTmjVrxsiRIzl69Khz/cMPP8yoUaOYM2cObdq0oVmzZjzxxBPOvtTXXXcdx44dY+LEiURFRZWo4V+3bh3Dhg2jXr16xMfH8/TTT5Off/7+KNOnT6dPnz5nHfvVV1+lZcuWNGrUiPHjx1NUVOTcRinFW2+9RadOnahXrx5XXnklP//8s3P9ypUriYqKYvHixfTv35/Y2FjWrFnjXP/pp58SHx9PvXr1uOuuuzh16pRznWEYzJgxg3bt2hEbG0ufPn1YtGjReeM/fawz97Fu3TquvfZa6tWrR9OmTbnxxhs5efIkUNxtY8iQITRp0oRmzZpxyy23kJiYeN79CyFKR6UeR335Plq3vmit2psdjrgApRRb1xVwNLGINh39yi0BP0279jYIqY7xwUzUeX6Utdvtzu+SQYMG4eXlVa4xCSHE5XIYileWHyctz8ZTPWoT5C0/HFY0ScLdnNVqpWXLlnz88ccsXLiQESNG8OCDD7Jx48YS23399df4+fnx008/8eSTTzJjxgxnbbphGIwaNQpfX19++uknXn75ZV5++eUSjy8oKGD48OH4+/vz7bff8v333+Pv78+IESNKJLorV64kMTGRr7/+mpkzZ/LVV1/x1VdfAfDuu+8SGRnJuHHj2LRpk7OGf9euXYwYMYL+/fvz+++/M3v2bNauXcuTTz55Uedi+fLl7Nu3j6+//ppZs2Yxb948Xn31Vef6qVOn8uWXXzJlyhQWLlzInXfeyYMPPsiqVatK7GfSpElMmDCBxYsX06RJ8RzBhw4d4qeffuKjjz7i888/Z8eOHSXie++993j77bd55pln+P333+nRowcjR47k4MGDpYp9+/bt/Oc//6Fhw4b8+OOPzJ07lz59+mAYBlA8Zd9dd93FL7/8wpdffomu69xxxx3O9UKIi6ccDoz3XoWQamjDR5kdjriA003QjxwqonV7P2rXLf9kV/P2QR/1CCTuR8379pwx/fnnn2RmZjJw4EACAgLKPSYhhLhcH25MZVNyHuO7RhEdXL4/ZopzK5fm6O7GZrORlZVV4ccNDQ297GmvIiMjSzTzHzVqFIsWLeLnn3+mbdu2zuVNmjRhzJgxAMTFxfHRRx+xfPlyunXrxpIlSzh8+DDffPONs4n0+PHjueGGG5yP/+GHH9B1nVdeecXZz+3VV1+lSZMmrFq1iu7duwPFA/NNnjwZDw8P6tevT+/evVm+fDkjRoxwzh8fEBBQoin27NmzGTJkiLOfeFxcHC+88ALXXnstU6ZMKXVze4vFwquvvoqvry+NGjVi3LhxTJo0ifHjx1NYWMi7777Ll19+6RyTICYmhnXr1vHZZ5/RqVMn534effRRunXrVmLfVquVmTNnUqtWLaA4Ub/lllt45plnCAsL4+233+a+++5zjuD/5JNPsnLlSt577z1efPHFC8Y+e/ZsWrZsyZQpU5zLGjVq5Lx99dVXl9h++vTptGzZkr1799K4ceNSnR8hREnqt68hcT/6Yy+h+fiaHY74F0opdmwq7gPeqr0vdWIrrrZZq9cYrd8w1E9foFrEo0XHOddt3LiRPXv20K9fP+liJIRwC7/tzeKnPVnc0z6cNpHl27VTnJ8k4UBWVhZffPFFhR/3+uuvx8/P77L24XA4ePPNN/npp59ITk6mqKiIoqKis/Z7ukb3tLCwMNLT0wE4cOAAtWrVKnEB0aZNmxLbb926lcTERBo2bFhiudVqJTEx0ZmEN2zYsERfuPDwcHbt2vWvz2Hbtm0kJiYyd+5c5zKlFIZhcPToURo0aHCh0wBA06ZN8fX9+0K6Xbt25OXlcfz4cdLT0yksLCzxwwIU/wDTvHnzEstatmx51r6joqKcCfjpfRuGwYEDB/D19SUlJYX27Us2ZY2Pj2fnzp2lin3Hjh0lptn7p8TERKZNm8bGjRvJzMx01oAnJSVJEi7EJVCJ+1A/fYF29XC0evIecmWnR0E/tK+IFu3Krw/4v9EG3YDatgHjgxnoT76KZrGQmJjIihUriI+PP+u7UQghXNGm5DzeWX+CgY1C6d8w1OxwqjRJwimukb7++utNOe7levvtt3n33Xd57rnnaNy4MX5+fjz77LNnzWnt6VmyqDVNcyZySqkLjuJqGAYtW7bkjTfeOGtd9ep/z6F6rpr9C00jYBgGN910E6NGnd0c9EIjw5fGmc/1k08+ISIiosT6f/bfK80PI6fP15nn7Z/nsDTn9bQL1fbfdttt1KpVi5dffpmIiAgMw6BXr15uN3e5EK5A2YowPpgJdeLQrv6P2eGIf6GUYvfW4mnImrf1pW59c5pNap4W9Nsfxpg0FvXD55zsPZh58+ZRt25dEhISTIlJCCEuxpFTVl5elkSbSH9GyUjoppMknOLE0V2bka1Zs4a+ffty7bXXAsUJ7aFDh0pdewxQv359kpKSSEtLc04uv3nz5hLbtGjRgp9++okaNWoQGBh4yfFaLJazRhxv0aIFe/bs+de54Etj586dFBQUOGvDN27ciL+/P5GRkQQHB+Pt7U1SUlKJpuellZSUREpKijOB37BhA7quExcXR2BgIBEREaxdu7bExdiGDRto3bp1qfbfpEkTli9fzrhx485al5mZyb59+5g6dapz1oC1a9de9HMQQhRTP/wX0pLRn5qJ5ilfg65s745C9u+20qy1T5lPQ3axtNqxaINvpOj7z/kl24G/vz99+/ZFL+Uc4kIIYZZThXYmLT5GTT8L47rUkpHQXYB8c7i5unXrsnTpUtatW8e+fft47LHHSEtLu6h9dOvWjZiYGB5++GF27tzJunXrmDp1KvB37e6wYcMIDQ1l5MiRrFmzhiNHjrBq1SqeeeYZjh8/Xupj1alThzVr1pCcnExmZiYA9913Hxs2bOCJJ55g+/btHDx4kAULFvDUU09d1POw2WyMGzeOvXv3snDhQqZPn87IkSPRdZ2AgADuvvtuJk6cyFdffUViYiLbt2/no48+cg4c92+8vb15+OGH2bFjB2vWrOHpp5/mmmuucf54c8899/DWW2/xww8/sH//fl588UV27NjB7bffXqrY77//frZs2cKECRPYuXMn+/fv5+OPPyYzM5OQkBBCQ0P57LPPOHToEMuXL+e55567qHMjhCimDuxGLfgebdAItKhos8MR/+LAnkL27rDSpKUPcY1cZCrOq4awuFEHsrOzGXBlb7y9ZUAjIYRrszkMpixNotBu8FSP2vhZZCR0VyBVAG7u4Ycf5ujRo4wYMQJfX19GjBhB3759ycnJKfU+PDw8+OCDDxg3bhxXX3010dHRPPXUU9x2223OCwxfX1++++47Jk+ezB133EFeXh4RERF06dLlomrGx40bx2OPPcYVV1yB1WolKSmJpk2b8u233zJ16lSGDRuGUoqYmBgGDRp0UeeiS5cuxMbGMmzYMIqKihg8eLBzMDooHmyuRo0avPnmmxw5coSgoCBatGjBAw88cMF9x8bG0r9/f2655RZOnjxJr169Sgy4dvvtt5Obm8vzzz9PRkYGDRo04MMPPyQuLu5f9vq3evXq8d///peXXnqJgQMH4uPjQ5s2bRgyZAi6rvPWW2/xzDPP0Lt3b+fAddddd91FnR8hqjpVZMX46DWoWx/tqiFmhyP+xdFDVnZuLqR+Y2/qN3GRBBzYuWs3ez396XN8N6ELf4AR95odkhBCnJdSijdXp7A/o5DJfaIJC7i8AaFF2dHUhTrsurG0tLRz9pnNzs4mKCjIhIjOZrFYXLJf77p16xgyZAgrVqygbt26ZodzQQ8//DDZ2dl88MEH5bJ/Vy2nf+NKr/PypmkakZGRJCcnX3AMAmEes8vJ+PoD1MJf0J95DS2ydoUf312YXU7Jx4pYvzKf6FgvWsb7lnpsjfKWmprK119/TdOmTelOAeq/c9AfmojWvO2FH1wOzC4ncWFSRu6hMpfT51vS+Gp7BmOvqEW3uu59Tegu5WSxWJzde/+N1IQLAH777Tf8/f2JjY3l0KFDPPvss7Rv394tEnAhhLgQtX8n6vcf0K69TRJwF5Z+wsbGVflE1rbQsp3rJOBWq5XffvuNatWq0bVrVzQPD9Tm1RifvIk+8Q00P5nmRwjhWhbsP8lX2zO4pXVNt0/AKyPpEy4AyM3NZcKECXTv3p1HHnmEVq1alVutshBCVCRltWJ8+BrENULrc3HdXETFOZlpZ+3yPKqHedKmox+aiwwcpJTijz/+oKCggAEDBuDp6Ymmaei3PAAFeaiv5btSCOFa1iflMnttCv0bhDCsaTWzwxHnIDXhAoDhw4czfPhws8O4ZDNnzjQ7BCGEi1JzP4GsDPQHnkHTZUAaV5ST7WD1kjyCgj2Iv8IfDw/XSMABduzYwYEDBxgwYADBwcHO5Vr1mmj/dzvqkzdR7TqjNW9nYpRCCFFsf0Yh05YnER8VwJ3x4S7TokiUJDXhQgghKi21dzvqz5/Qht6MFhFldjjiHAoLDNYsycXHV6NDV388PV3ngjErK4ulS5fSvHlz6tevf9Z6rUsfaNoG45NZqPw8EyIUQoi/ncgt4oXFR6kT7M24K2QqMlcmSbgQQohKSVkLMT56Heo3Res90OxwxDnYbIo1S3NRCjp2C8DL23UuSxwOB/PnzycgIICuXbuec5viZun3S7N0IYTpcqwOnlt0DB9Pnad61Mbb03U+T8XZqmzpGIZhdghClBtXHjVSiIqivv0YTmWij3xQmqG7IMNQrF+RR36eQcduAfj6udYlyerVq0lPT6dfv35YLOef1sfZLH3576jtGyowQiGEKFbkMJi85BjZVgfP9qxDiI/0OHZ1rvWNV0H8/PzIycmRRFxUWvn5+c453oWoitTurahFv6ANuw0trJbZ4Yh/UEqxZV0+GWl22l/hT1CIa/1IcvToUTZs2EBCQgJhYWEX3F6apQshzGIoxYyVyRzILOTpHrWpFeRldkiiFKrkzySenp74+/uTm5trdih4eXlRVFRkdhjiAtypnJRSeHp6ShIuqixVmF/cDL1hc7SeA8wOR5zDnu2FHEu00SbBjxrh569lNkNhYSG///47UVFRtG1bujnATzdLNybej/rqfbTbHiznKIUQovia74MNqaw6ksPj3aJoVMPX7JBEKVXJJByKE/GgIHPnzHOXSeerOiknIdyL+uYjyM1GHzsJTa+SDb5c2uEDVvbttNKkpQ+1Y1yvxmbZsmUUFRVx1VVXoV/E66fEaOnxV8ho6UKIcvfNjgx+2pPFXfHhJNQJNDsccRHk6kQIIUSloXZuQi2Zh3btbWg1I8wOR/zDieM2tm4ooG59L+o1dr3WOocOHWLXrl107dqVwMCLv6CVZulCiIoyf99JPtuSzvUtqnN1o1CzwxEXSZJwIYQQlYIqyMf4+A1o3BKtez+zwxH/cDLTzoaVeYTX8qR5G1+Xm7u2sLCQhQsXEhMTQ9OmTS9pHyVGS//q/TKOUAghiq08ks2cdSkMaBjC9S1qmB2OuASShAshhKgU1NcfQF4e+q0PSDN0F1OQb7B2WR6BwR60TfBHc8G5a5ctW4bNZqNXr16X9QOBs1n6ij9ktHQhRJnbmpLH9BXJXBEdyJ3x4S73g6YoHblKEUII4fbU9o2oZQvQho9EqxFudjjiDHabYu2yPHQdOnT1x9PT9S4YL7cZ+j9Js3QhRHnYl1HA5CVJtAj346FOtdAlAXdbkoQLIYRwayo/D+OTN6FJK7Rufc0OR5xBGYqNq/PIy3XQoWsA3j6ud9lhtVovuxn6P0mzdCFEWTuWbeX5RceIDvbi8W5RWDwkAXdnrvdtKIQQQlwE9fUHUPBXM3SpFXApO7cWciLZTrtOrjcX+GnLly+nqKjospuh/1OJZunbpFm6EOLSpefbmPjnUYK8PXi6Zx18PCWFc3dSgkIIIdyW2r4Rtfz34mbo1cPMDkec4fABKwf3WGnW2pfwWq41F/hpx48fZ8eOHXTu3LlMmqH/09/N0t+UZulCiEuSbXUwceFRAJ7rXYcgb9f8QVNcHEnChRBCuKUSzdC7SjN0V5J+wsa2DQXE1PMitoHrzQUO4HA4WLhwIeHh4bRo0aJcjuFsll6YL83ShRAXLa/IwXMLj3Kq0MHE3nWo4eeaP2iKiydJuBBCCLckzdBdU262g/Ur8qkR7knztq43FdlpGzduJCsri969e6OX42j60ixdCHEpCu0GLyw+RnJuEc/3rkPtIG+zQxJlSJJwIYQQbkeaobumImvxVGTevhrtOvmhu+BUZAAnT55k7dq1tG3blho1yn+O3ZLN0nPL/XhCCPdW5DCYvOQYh7KsPNuzDrGhPmaHJMqYJOFCCCHcijRDd02GQ7F+RR42m6JDV38sXq55iaGUYuHChfj7+9OhQ4cKOaY0SxdClJbNoZi6NIndaQU806M2jWr4mh2SKAeu+Q0phBBCnIc0Q3dN2zcVkJnhIP4Kf/wDXHfgoN27d3Ps2DF69OiBxVJx/Sv/bpb+J2rb+go7rhDCfTgMxfQVx9mcks+T3WvTLNzP7JBEOZEkXAghhNuQZuiuKXG/lcMHimjZzpfqNT3NDue8rFYrK1asoEGDBtStW7fCj6916QPN2xY3S8+TZulCiL8ZSvH66mTWHsthfNdatI70NzskUY4kCRdCCOEWpBm6a0pPtbN9YwF163sRHefaAwetWbOGoqIiunTpYsrxNU1Dv/l+sFpRX75rSgxCCNejlGLO2hMsTczmkc616Fi77KdMFK5FknAhhBBuQZqhu578PAcbVuZRraYnzdq4dr/FjIwMtmzZQvv27ctlTvDS0qrVQPvPHahVi1Bb1poWhxDCNSileH9jKvP3n+T+jhF0rRtkdkiiAkgSLoQQwuVJM3TXY7cr1i3Lw9NTI76z646EDsUXuUuWLCEoKIg2bdqYHQ5a517QIh7j01movByzwxFCmEQpxYcbU/lpdxZ3tw+nd70Qs0MSFUSScCGEEC5NmqG7HqUUm9fkk5dn0L6LP17ern05sX//fo4dO0b37t3x9DS/z3rxaOmjwVaE+t87ZocjhDDB6QT8h91Z3BUfzoCGoWaHJCqQa39rCiGEqPKkGbrr2bfTSvIxG206+hEU4rojoQPYbDaWLVtGbGysKYOxnY8WUh3t+rtQa5agNq02OxwhRAX6ZwJ+dSNJwKsaScKFEEK4LGmG7npSkmzs2V5Iw2Y+RNb2MjucC1q/fj0FBQV07drV7FDOoiX0gFYdipul52SbHY4QogJIAi5AknAhhBAuSpqhu57skw42rs4jsraFhs1ceyR0gJycHDZu3EibNm0ICQkxO5yzaJqGftN94HCg/ve22eEIIcqZJODiNEnChRBCuCRphu5aiqwG65bn4e+v07qDn1uUycqVK/H29iY+Pt7sUM5LC6mGduPdqHXLUBtWmB2OEKKcSAIuziRJuBBCCJcjzdBdi2EoNqzKx2ZTtO/ij6fF9RPwlJQU9uzZQ0JCAl5ert1sXuvQDdokYHw+B5VzyuxwhBBlTBJw8U+ShAshhHAp0gzd9ezcXEBGqp34zn74Bbj2QGxQfMG7fPlyqlevTtOmTc0O54KKm6XfC8pAfT7H7HCEEGVIKcX7GyQBFyVJEi6EEMKlqC/elWboLuTIQSuH9hXRrI0vNcItZodTKgcOHOD48eN06dIFXXePSx0tKBTtxntQG1ZgrFtudjhCiDLgMBSz1qTw054s7mkvCbj4m3t8MwkhhKgS1ObVqFUL0a6/U5qhu4DMdDvbNhQQHedF3fqu3aT7NIfDwYoVK4iJiSEmJsbscC6KFt8F2nVG/Xc2KjvL7HCEEJfBYShmrkrmz4OneKhTJP1lHnBxBs/y2GlycjKzZs0iJycHPz8/Ro8eTe3atUtss2PHDqZMmUJkZKRz2eTJk539tjZs2MCnn36Kw+EgJiaG+++/Hx8fn/IIVwghhAtQOacwPpkFrTqgde5tdjhVXkG+wfoVeQRX86BFW1+3aZWwdetWsrOzGThwoNmhXDRN09BH3Ivx7P0Yn81Gv3eC25x3IcTfbA6DV1YcZ92xXMZ1qcUV0UFmhyRcTLkk4e+88w5XXnklPXr0YPXq1cyePZvJkyeftV3t2rV56aWXzlpeWFjInDlzmDhxIlFRUbz//vt899133HjjjeURrhBCCJMppTA+nQXKQL95tCQeJrPbDdYtz0XToP0V/uge7lEehYWFrF27lmbNmlG9enWzw7kkWmAw+oh7MOZMRa1ditaxu9khCSEugtVu8NLSJLadyOeJ7rWJjwowOyThgsq8OfqpU6c4dOgQXbt2BaBjx46kpqaSmppa6n1s2rSJuLg4oqKiAOjbty8rVsi0HUIIUVmp1Yth02r0m0ajBUuTPTMppVj2ZzLZpxy07+KPt4/79FzbsGEDDoeDjh07mh3KZdHaXYHWvivqv2+jTmaaHY4QopTybQ6eX3SUnWn5PNNTEnBxfmVeE56RkUFoaCgeHsWjp2qaRo0aNUhPTycsrGT/vuPHj/PYY4+h6zo9evSgb9/iUXDT09OpWbOmc7uaNWuSmZmJYRjnHGDFZrNhs9mc9zVNw9fX13nbVZ2OzZVjFFJO7kDKyD2cr5xUZhrqf++gdeyBHn+FGaGJMxzca2XvznzaJvgTWt09BmIDyMvLY8uWLbRp04aAAPe/8NVvvBvHs/ejPn4D7aFnz3rfyOee65Mycg9lVU65VgfPLTrG0VNWnusdTZOafmURnvhLZXs/lUtz9NKcnNjYWObMmYOfnx8ZGRlMmTKFwMBAOnfufNHHmzt3Lt98802JfU+dOrVEIu/KIiIizA5BlIKUk+uTMnIPZ5aTUoq0WZPAz5+IR55BD5R+c2Y6diSXHZuyaNm2Gu07udf76fvvv8fLy4urr766cowhExlJwSMTSX/uYYI2ryRgwHXn3Ew+91yflJF7uJxyyswrYtw3mzmRa2PO9W1pEiHfZeWlsryfyjwJr169OhkZGTgcDjw8PFBKkZ6eTo0aNUps5+fnV+IxV1xxBbt376Zz587UqFGD7du3O9enpaVRrVq1804zMnTo0BIDsJz+ESAtLQ273V6WT69MaZpGREQEKSkpKKXMDkech5ST65Mycg/nKidj0S8Ym9agP/wcJ3LzIDfP5CirrrxcB0sX5FAj3JOOXcPd6v108uRJ1q5dS+fOncnKqkSjiteph9atL1nvziC7VixaeC3nKvncc31SRu7hcsspJbeIZ/88QqHNYNKV0YSoPJKT5busrLnL+8nT07NUFcFlnoQHBwcTGxvLsmXL6NGjB2vWrCEsLOyspuhZWVkEBwej6zoFBQVs3LiRnj17AtC6dWvef/99kpKSiIqKYv78+f9aQ26xWLBYzt1kzpUL6TSllFvEWdVJObk+KSP3cLqcVOpxjK8/ROveD61ZGyk7E9ntinXLcrFYNNp18kfXNbd6P61evRpfX19atmzpNjGXljZ8FGrXFhzvv4o+/iW0v7r7neZO5VRVSRm5h0spp8SsQiYuPIqPRWdq3xjCA7ykrMtZZXk/lUtz9LvuuotZs2Yxd+5cfH19GT16NABz5swhPj6e+Ph41qxZw4IFC/Dw8MDhcJCQkOBMwn19fbnnnnuYNm0aDoeD6Oho5z6EEEK4P2U4MD6YCcGhaNeNNDucKk0pxea1+eTlGXTpHYiXt/sMxAbFrd727NlDr1698PQsl8saU2k+vui3j8GY+jhq3rdoV/+f2SEJIYAdqflMXnyMiEALz/SsQ4hP5fv8EeWnXF4ttWrVOueUZPfcc4/zdr9+/ejXr99593E6WRdCCFH5qPnfw8E96I9OQfPxNTucKm3/LivJR23EX+FHUIjHhR/gYlatWkVISAhNmjQxO5Ryo9VrjNb/WtRP/0M1b4sWU9/skISo0tYcy+GV5cdpVMOXJ7pH4Wdxv89OYS73+rlbCCGE21PHElE/fo521VC0Bk3NDqdKO3Hcxu5thTRo6k1kbS+zw7loSUlJJCYmkpCQ4JyVpbLSrrkeomIw3p+BKrKaHY4QVdYfB07y0tIk2tUK4JmetSUBF5dEknAhhBAVRhVZcbw7HcKj0AaPMDucKi0n28HG1XmE1/KkUXP3G01cKcXKlSupWbMmDRo0MDuccqd5WtBvHwNpKai5n5odjhBVjlKK73Zk8MbqFPrUC+HRLrXw8pBUSlwaeeUIIYSoMCc/ehNOHEO/YwzaeQbUFOXPVqRYtzwPH1+dNgn+bjnv6uHDh0lOTqZTp05uGf+l0GpFow27BfXHjxi7tpgdjhBVhqEUH25M5ePNafynRXXu7RCOh141PndE+ZAkXAghRIUwdmwk94f/oV97G1rtWLPDqbKUodi4Og9roUH7Lv5YLO53IamUYs2aNURERBATE2N2OBVK630NNGqB8eFMjNwcs8MRotKz2g2mLT/Oj7uzuCs+nBtb1qwyP/yJ8iNJuBBCiHKncrIxPpiJd5uOxUmEMM3u7YWkJttp18mfgED37Mt4+PBhTpw4QceOHavcxbCm6+gjH4aCfLJmv2x2OEJUaqcK7Tz951HWJ+UyoVsUVzcKNTskUUlIEi6EEKJcKaUwPnkDHHaqPzIRTZevHrMcP1rE/l1WmrT0ISzSPbsDnFkLHh0dbXY4ptCq10QfcS/5i3/DWLXI7HCEqJSOZxfx2ILDpOQWMfnKaDrWCTQ7JFGJyJWQEEKIcqWWLYDNa9BvfQCP6jXNDqfKOpXlYPOafGpFW6jX2NvscC5ZVa4FP5Oe0AO/nv0xPp+NSksxOxwhKpVdafmMX3AYXdOY1jeGhjVkKk1RtiQJF0IIUW5UShLqy/fQul6F3qaT2eFUWUVWg3Ur8vAP9KBVez+3TV5P14JHRkZW2VrwM4Xe9xgEBmO8+wrKbjc7HCEqhRVHsnn6j6NEB3sx9aoYwgPcb/pG4fokCRdCCFEulN2O8d50CKmO9p87zA6nyjIcivUr83HYFe27+OPp6Z4JOEgt+D/pfgF43DkODu9H/fSF2eEI4daUUny/K4Npy47TqU4gz/WqQ6C3e46bIVyfJOFCCCHKhfrpf3DsEPodY9G83W8e6spAKcW2jQVkptuJv8IfP3/3/do/sxa8Tp06ZofjMrS4RmiDbkT99jVqz3azwxHCLdkdBrPXpvDhxjSubVadR66IxCJzgItyJK8uIYQQZU7t2Y767Ru0QTeixTYwO5wqK3FfEUcOFtGynS/Va3qaHc5lkVrw89P6XwsNm2O8/yoqT6YtE+JiZFvtPPDNZv44cJL7O0Zwc+ua6PIZI8qZJOFCCCHKlMrJxnjvFWjQDK3fMLPDqbJSU2xs31xAXENvouPcdyA2kFrwC9F0D/RRj4C1EOOTN1FKmR2SEG7h6Ckr435LZF9aHs/3jqFP/RCzQxJVhCThQgghyoxSCuPDmWC3o985Fk2X/nRmyM12sGFlHmERnjRt5f5dAU7Xgnfo0EFqwc9Dq1YD/db7YeOq4hkJhBD/auPxXMbPP4yXh87HN8XTPNzP7JBEFSJJuBBCiDKjfv8Btq1HH/UIWkh1s8OpkoqsBmuX5eHjq9M2wR9Nd/+kdf369YSHh8uI6Begte2M1q0v6st3UclHzQ5HCJeklOLH3Zm8sPgYTWv68nLfGKJCZAoyUbEkCRdCCFEm1KF9qO8+QbtqKFqLdmaHUyUZhmLDqnyKihQduvpj8XL/BDwpKYnjx48THx8vteCloP3fHVA9HOPtl1FFVrPDEcKl2ByKWWtSeH9DKoMaV+OJ7rXx85IWW6LiSRIuhBDisqn8PIx3XoboOLShN5kdTpW1Y1MBGal24q/wwz+gclxYrl+/nmrVqhEXF2d2KG5B8/ZGv3s8pCWjvnjX7HCEcBknC+08u/AIiw6d4sGECEa2DcOjErQUEu5JknAhhBCXRSmF+nQW5OWi3zkOzdNidkhVUuJ+K4n7i2jRzpcaYZWjDNLS0jh8+LDUgl8kLSoG7cZ7UMsWYKxeZHY4Qphub3oBY35N5Fh2ES/0jqZ3vRCzQxJVnHvPVyKEEMJ0atl81Prl6Pc8hlYzwuxwqqT0Eza2bywgtoEXMfXceyT0M61fv56goCAaNmxodihuR+vcG/ZsQ302GxXTAC2yttkhCWGKBftP8va6E9Sr5s1jXaOo7lc5fqQU7k1qwoUQQlwydewQ6ov30Lr3Q2t3hdnhVEk52Q7Wr8ynepgnTVtXnsGFsrKy2LdvH+3atUPX5XLlYmmahjbiXqhWE+PtqSir9A8XVYvNYTBrTTKz1qRwZb1gJl8ZLQm4cBnyrSaEEOKSqPw8jNkvQXgU2v/dbnY4VZK10GDt0jy8fTTiO/uhV6L+jRs2bMDf358mTZqYHYrb0rx90O9+DNJSUP972+xwhKgw6fk2Jvx+hEUHs3kgIYJ7O0Rg8ZC0R7gOeTUKIYS4aMXzgb8GOdno9z6O5lV5mkC7C4ddsW55Hg6HomO3ACxelecrPScnh927d9OmTRs8PaXn3OXQoqLRRtyDWvEHxsqFZocjRLnbfiKfMb8lklVgZ8pV0Vwp/b+FC5JvNiGEEBdNLZgLm1ejj34SLSzS7HCqHKUUm9bkc+qkgyt6BuDnX3kScICNGzdisVho3ry52aFUCnrn3hh7tqM+n42KqY8WJfOti8qneP7vLD7alEqzMD/GdalFiI+kOsI1Va5vbSGEEOVO7dmG+vYTtP7XorXuaHY4VdKurYUkH7PRrpM/IdUr10Vmfn4+O3bsoHXr1nh5eZkdTqWh3XgP1IzAmD0FlZ9ndjhClKlcq4MpS5P4YGPx/N/P9aojCbhwaZKECyGEKDV1MhPjnWnQsBnaYJkP3AyJ+60c2G2lWWsfIqIq3yBDW7duRdM0WrZsaXYolYrm7Y1+7wTIzsL4cCbKMMwOSYgysS+jgEd+S2R7aj5PdI+S+b+FW5AkXAghRKkoux3j7ZdB19HvGofm4WF2SFVOavLfU5HFNqx8/fBtNhtbt26ladOm+PpWnpHeXYUWXgv99jGweQ3qt2/MDkeIy6KU4qfdmTy+4DDBPh7M6F+XjrUDzQ5LiFKRdhpCCCFKRc39BA7tQR83GS0o1OxwqpxTWQ7Wr8wjLNKTZq190bTKV9Oza9curFYrrVu3NjuUSktr1QFt4PWoHz4v7h/evK3ZIQlx0XKLHLy5OplVR3O5pnEot7YOw+JR+T4TReUlNeFCCCEuyFi3DLXge7TrbkOr39TscKqc/DyDtctyCQj0oG2CP1olbGppGAabNm2ifv36BAcHmx1OpaZdcz00b4fx7iuotBSzwxHiouzPKGTsb4lsTcnn8W5R3NEuXBJw4XYkCRdCCPGv1JEDqI9eQ+vYHa33ILPDqXKsVoPVS3LRdY0OXf3xtFTOi82DBw9y6tQp2raVmtnypul6cbN0/4DigdqsVrNDEuKCDKX4cXcmjy04TICXBzMG1KVTHWl+LtyTJOFCCCHOS+Wcwpj1IkRGo91yf6VsAu3K7HbF2qV52IoUCd398fGtvF/bGzduJCoqivDwcLNDqRI0/wD0+ybAiSTUZ2+hlDI7JCHOK6vAzvOLjvH+hlT6NwzhpauiCQ+Q2ROE+6q83+ZCCCEui7LbMea8BLYi9PsmoHlVvoHAXJlhKDaszCMn20HHbv74B1begfCOHz9OSkqK1IJXMK12LNotD6BWL0L9+aPZ4QhxTuuO5fLQL4c4lFXIsz1r/9X8XFIY4d5kYDYhhBDnpL58Dw7sQR87Ca1aTbPDqVKUUmxZl0/aCTsdu/oTUq1yf11v3LiR0NBQ6tata3YoVY7esTvGkYOorz5ERdRGa97O7JCEAMBqN/hoUyq/7j1J+yh/HkiIJFjm/haVhPyMJIQQ4izG0vmoxb+i3Xg3WgMZiK2i7d5WyLFEG206+FEzovLNBX6mrKwsDh48SNu2baW7g0m0a2+BFu0w3pmGSj5qdjhCkJhVyLh5ifxx4BR3xYfzZPfakoCLSkWScCGEECWovTtQ/30brUd/9G59zQ6nyjm4p5D9u6w0be1DVEzl7/O4efNm/Pz8aNSokdmhVFma7oF+x1gIrYHxxguo3GyzQxJV1OnB18bNO4ymaUzvV5erG4XKD3Si0pEkXAghhJNKPY7x1otQvwnaf+4wO5wq58hBKzs2F1K/sTf1GvmYHU65y8/PZ+fOnbRq1QpPT6nlMpPm64d+/1NQkI8xZyrKbjc7JFHFnMgt4uk/j/L+hlT6NQjhlX4xRIfIWCSicpIkXAghBAAqLwfj9RcgMAj93glonpW7GbSrSTpSxJZ1BdSt70XjlpU/AQfYunUrmqbRvHlzs0MRgFYzAv3eCbB/F+p/78iI6aJCKKVYsP8kD/6SyImcIl7oXYc74sPxksHXRCUmPzsLIYRA2W0Yb02BvGz0Ca+g+QeYHVKVkpJkY9PqfGrXtdC8rW+VaHpps9nYunUrzZo1w9fX1+xwxF+0hs3QRtyD+uRNiKyNduUgs0MSlVhGvo03V6ewMTmPPvWCGdUuDD9L5Z0JQojTJAkXQogqTimF+mQWHNyNPmYSWlik2SFVKWknbGxYmUd4lIVW7f2qRAIOsGfPHgoLC2ndurXZoYh/0LtehXEiCfXV+6hqNdDadjY7JFHJKKVYkpjNO+tP4OWh83SP2sRHyY+/ouqQJFwIIao49evXqFUL0e4YKyOhV7DMdDvrludRPcyTtgl+6HrVSMCVUmzevJm4uDiCg4PNDkecgzbsVshMx3jvVfSx1dDqNTY7JFFJnCywM3tdCquP5tK9bhB3xocT6C2136Jqkc4WQghRhRlrlqC+/wztmhvQO3Y3O5wq5VSWnTVLcwkO9SD+Cn88PKpGAg5w9OhRMjMzpRbchWm6jjbyIahbH+PNF1AnjpsdknBzSin+PHCS0T8fZFdqAY93jWLMFbUkARdVkiThQghRRamdm1AfvobWqRfaNdebHU6VcirLzqrFeQQEetChawCenlUnAYfiaclq1KhBVFSU2aGIf6FZvNBHPwkBwRivTUTlnDI7JOGmUnKKeHbhUV5fnUJ8rQDeHBhLp+hAs8MSwjSShAshRBWkDu/HeOslaNoa7Zb7q0w/ZFdwOgH3D9BJ6O6PxVK1zv3JkydJTEykdevW8rpzA5p/IPqDz4C1sHgOcavV7JCEG3EYih92ZfLgL4c4nl3Esz1r88gVtQjykR6xomqTJFwIIaoYlXoc47XnoFYd9LvHo8n8zBXmrATcq+p9DW/evBlfX18aNmxodiiilLSaEegPPA1JhzHeeVnmEBelkphVyPj5h/lwYypX1Q/hjYFxtK0lg68JAZKECyFElaKyszBmTgT/APQHnkHzrhrzUbuCk5mSgFutVnbt2kWLFi3wlB9/3IpWt0HxHOI7NqE+fh1lGGaHJFyU1W7w6eY0xvyWSJHDYGrfGO6ID8fXUvU+84Q4H/kGFEKIKkIV5mO89jwUFaFPeBktMMjskKqMk5l2Vi+p2gk4wI4dO3A4HLRo0cLsUMQl0Jq3Rbt9DOrdaeAXANffKV0KRAnrjuXy7oYTZOTb+b8WNbi2aXUsVWjQSSFKq1yS8OTkZGbNmkVOTg5+fn6MHj2a2rVrl9hm+/bt/Pe//6WgoABd14mPj+f6669H0zRSU1N58MEHqVOnjnP7sWPHEhERUR7hCiFEpaesVow3XoC0FPTxL6JVDzM7pCojM83OmmW5BAR6VOkE3DAMtm7dSoMGDfD39zc7HHGJ9PZdMApyUZ++Bf4BaINuNDsk4QJSc228t+EEa47l0jrCj2d71iEqyMvssIRwWeWShL/zzjtceeWV9OjRg9WrVzN79mwmT55cYht/f38eeughwsPDKSoq4oUXXmDFihV06dLFuX7atGnlEZ4QQlQpymbDeOtFOHwA/ZHn0WrHmh1SlZGWYmPd8jxCqv01CnoVG4TtTIcOHSI7O5v+/fubHYq4THq3fhh5eajvPsbwC0C/cpDZIQmT2ByKH3Zn8uW2dAK8PBjfpRadowOlhYQQF1DmSfipU6c4dOgQTz31FAAdO3bk/fffJzU1lbCwv2teYmP/vgj08vKibt26nDhxoqzDEUKIKk3Z7RhvT4V9O9AffAatXmOzQ6oyko8VsXFVPjXCPYnv7I9HFZuG7J82b95MZGQk4eHhZociyoDe/1qMvBzUl+9h+Pmjd+5tdkiigm1NyePtdSc4nlPEoMbV+E+L6vhZZM5vIUqjzJPwjIwMQkND8fAofhNqmkaNGjVIT08vkYSf6eTJk6xevZoJEyY4l+Xn5zNhwgQMw6B9+/YMGzYMXT93Ez6bzYbNZnPe1zQNX19f521XdTo2V45RSDm5Aymjc1OGA/XBDNi+Ef3+J9GbtDI1nqpUTkcTrWxek09kbQttE/zR3ahPZHmUU1paGklJSQwYMKBKlH9FcIX3k37dbRgFeaiPXkfpHuidepoWiytyhTIqD2l5Nj7amMqyw9k0renL+K6x1A1130E+K2s5VTaVrZzKpTn6xZyc/Px8pk6dyuDBg4mLiwMgNDSUOXPmEBwcTG5uLjNmzOCnn35i8ODB59zH3Llz+eabb5z3Y2NjmTp1KjVr1ry8J1JBpK+7e5Bycn1SRn9ThkHmay+Qv2El1R+fgt8VvcwOyamyl9P2zZlsWp1F4+YhdO0dia675wVDWZbT8uXLCQ4O5oorrnD+SC/KhtnvJ/XoC2R5e5P34UxCqlXDv0c/U+NxRWaXUVkpKHLw8drDfLbuCAHenjzbvwlXN4uoNElRZSmnyq6ylFOZJ+HVq1cnIyMDh8OBh4cHSinS09OpUaPGWdsWFBTw4osv0q5dOwYOHOhcbrFYCA4OBiAgIICePXuyfPny8ybhQ4cOLfH40x8GaWlp2F14LktN04iIiCAlJQWllNnhiPOQcnJ9UkYlKcPA+Owt1LIF6HeM4VRcE04lJ5sdVqUvJ6UUu7YWsn9XIXGNvGnQDE6cSDE7rItW1uWUn5/P5s2bSUhIIDU1tQwiFOBa7yc1/Ha0vDwyX3mGk6ey0Tt0NTUeV+FKZXQ5DKVYciibTzancqrQwZAm1biueXX8LJCS4n6fcf9UWcqpsnOXcvL09CxVRXCZJ+HBwcHExsaybNkyevTowZo1awgLCzurKXphYSEvvvgirVq14rrrriux7tSpU/j7++Pp6YnNZmPt2rUl+pD/k8ViwWKxnHOdKxfSaUopt4izqpNycn1SRn81Qf/4TdSqhWi3PojWobvLnZPKWE6GQ7FlXT7HDtto2tqHeo2Km2a68/Msq3Lavn07AM2aNXPr8+GqXOL9pGlot94PysB47xXQQIvvYm5MLsQlyugS7Ukv4L31J9ibUUinOgHc1iaMiMDiUc/d9TmdjzuXU1VSWcqpXJqj33XXXcyaNYu5c+fi6+vL6NGjAZgzZw7x8fHEx8fz66+/sn//fgoLC1m7di0AnTp1YtiwYezevZuvvvoKXddxOBw0b96cYcOGlUeoQghRaSiHA/XBTNS6ZWi3j0Hv2N3skKoEm02xfkUemWl22nbyIypapuU5zTAMtm3bRqNGjfDxcd8+o+LCNN0DbnsQlMJ49xV0TUNrd4XZYYlLlJZn47MtaSw+lE1sqDeTrqxDi3CZWlCIslIuSXitWrXOmpIM4J577nHeHjZs2HkT644dO9KxY8fyCE0IISolZbej3n8VtXEl+l3jpBaqghQWGKxZmkd+noOO3f2pEXbuVllV1aFDh8jNzaVly5ZmhyIqgKZ7wMiHihPxt6eh3VYoo6a7mVyrg292ZPDzniz8LDr3dYjgynrBeLjp2BZCuKpyScKFEEJUHGW3YbwzDbauR7/7MbS2ncwOqUo4lWVn7fI8UHBFr0CCQmTAsX/aunUrERER550dRVQ+mu4Box4GL2/Uh69hFBag9xp4wccJcxU5DH7Zk8U3OzKwG4phzaoxpEk1mXJMiHIiSbgQQrgxZS3EmPMS7N6Kfu8EtFbtzQ6pSkg+VsSm1fkEBHnQvos/vn7nnkKzKsvMzOTo0aNcddVVZociKpime8DNo8HXD/W/d4oT8QHDzQ5LnIPDUCxJzObzLWlkFtjpWz+E/7SoQaivpAhClCd5hwkhhJtSudkYrz8Px4+iP/AMWtPWZodU6Sml2LfTyp7thdSqY6FVBz88PaWZ5rls27YNX19f6tevb3YowgSapsF1I4sT8bmfYhTkow27pdJMZ+XulFJsOJ7HJ5vTOHzSSufoQG5qVZOoIBnTQoiKIEm4EEK4IZWRhjHzWcjLQR83Ca1uA7NDqvQc9uIR0JOO2GjU3IcGTb0loTiPoqIidu7cSatWrfD0lEuNqkrTNLSB12P4+KK+fB/y8+DGu9FkrnjTKKXYkpLPf7emsye9gOZhvrzcN4ZGNXzNDk2IKkW+GYUQws2o40cwZk4EXUcf/xJaRJTZIVV6+XkG61fkkZPtoF1nP2rVkdqif7N7927sdjstWrQwOxThAvQrB2P4+qM+eRN1KhP9znFo3jJafkXbdiKP/25JZ2daAQ2r+zCxVx1aR/jJj4lCmECScCGEcCNq/y6MN16A0OroD09EC6ludkiVXmqyjY2r8/G0aFzRK4CQavLV+W+UUmzdupW4uDgCAwPNDke4CP2KK1HBoRhzXsZ45Un0B55CCwo1O6wqYVdqcc331hP51Kvmw9M9atOulr8k30KYSK4khBDCTRhrlqA+eh1iG6Df/xSaX4DZIVVqSin27rCyd0chYZGetOnoh5e3DMB2IUlJSWRmZtK9u8xTL0rSmrdDH/8ixuvPY0wZj/7Qs2gRtc0Oq9LanVbAF9vS2ZScR90Qb57oFkWH2gGSfAvhAiQJF0IIF6eUQv30P9RPX6Al9ES75X40i8xHXZ6KrAYbV+eTlmKX/t8XaevWrYSGhlK7tiRX4mxadD30CdMwXnsO46XH0Ec/idagqdlhVRqn+3x/syODbSfyqRPsxfgutegUHYgun2FCuAxJwoUQwoWpIivqo9dR65ahDbkJbcBwSQbLWUaanY2r83DYIaG7PzUj5AeP0srNzeXAgQN069ZNXqfivLTqYeiPTcWYPQXj1afQbroP/YorzQ7LrRlKse5YLl/vyGBfRiH1qvnweNcoOtYJkORbCBckSbgQQrgolZ2FMetFOHYI/Z7H0NpdYXZIlZphKPbuKGTfLivVanjQNkHm/75Y27dvx9PTk8aNG5sdinBxmn8A+sMTUf97B/XR6xhHDqINH4Umo+lfFIehWH44m293ZHL4lJVmYb4827M2bSKlz7cQrkw+6YQQwgWpg3sw5kwFw4E+bgparExBVp7ych1sWp3PyUwHjZr50KCJN5ouF7AXw+FwsH37dho3boy3t7fZ4Qg3oHla0G4ejVEnDvXFO6ikw+h3P4YWGGR2aC6v0G7w54FT/Lg7k5RcG+1q+XNPh3CahvmZHZoQohQkCRdCCBeilEIt+Q31xXtQt37xBWmojIBeXpRSHDtsY/uGfLy8da7oFUBoDflqvBQHDhwgPz+fli1bmh2KcDN6j/6oWnUwZr+EMXlMcT/xOrFmh+WSMgvs/LIni3n7ssi3GXSODuSxrlHEVZMp34RwJ3KlIYQQLkJZrajP30KtWoTWayDa8JFontIfubwUFhhsXZ/PieN2omIstGjnh8Uitd+XauvWrURFRVG9uvxoJC6e1rA5+lOvYsyajPHSo2g33oPWubc0qf5LYlYhP+zOZGliNhZdp0/9YAY2CiU8wMvs0IQQl0CScCGEcAEqNRlj9hRITUa7Yyx6R5neqbwopTiWaGPHpgI0HeKv8COytlzIXo60tDSOHz/OgAEDzA5FuLHiAdteLm6a/tHrsHsbjLgHzcfX7NBMYSjFpuN5/LA7ky0p+VT38+SmVjW5qn4I/l4eZocnhLgMkoQLIYTJjNWLUZ/PhqAQ9AnT0GrXNTukSqsgv7j2OzXZTlS0heZtfWXu7zKwdetW/P39iYuLMzsU4eY0b2+0Wx/AaNQc9dlsVOK+4oEpo2LMDq3C5Fgd/HnwJL/tPUlKro161bwZ0zmSK2KC8JSxKoSoFCQJF0IIk6j8PNR/56DWLEFL6FHc/NJXBtUpD8pQJB4oYve2Ajw8NNp38SciSpr6lwWr1crevXtp27Ytui4/aIiyoSf0RMU0wHh7KsbksWg33IXWpU+lbp5+ILOQX/dmsTQxG0MpOkcH8XDnSBrX8K3Uz1uIqkiScCGEMIE6sBvj3VcgLwft9jHoCT3MDqnSysqws21DAaeyHETHedGkpY/UfpehPXv2YLfbadasmdmhiEpGi6yN/sQrqC/eRX3yJmrrOvSbR6MFhZgdWpmxOQxWHMnh171Z7EkvpLqfJ8ObV+eqeiGE+MpluhCVlby7hRCiAim7HfXr16hfvoTYhuhjJ6HVjDA7rEqpyGqwe1shhw8UERTiQZfeMvJ5WVNKsW3bNuLi4ggICDA7HFEJaV7eaLfcj2oRj/HpLIxn70e/+T60tp3NDu2yHDtl5fcDp1h08BSnrA5aRvjxeLcoOkQF4CFNzoWo9ORqRAghKog6fADjo9fh+GG0Af+HNvA/aB4yuE5ZMwzFkQNF7NlRiGEomrfxJaa+F7pc2Ja5lJQUMjIy6NKli9mhiEpOa5OAXq8xxqdvYcx+CS2hJ9oNd6L5uc+PPwU2gxVHsvl9/yl2pxcQ6KXTIzaYfg1CqB3sbXZ4QogKJEm4EEKUM2UrQv30BWr+d1ArBv3J6WjR9cwOq9JRSnHiuJ1dWwrIzTGoU9eLxi198PGVpuflZdu2bQQFBREdHW12KKIK0IJC0O+bgFq1qHgE9d1b0UfcjdY6wezQzkspxe60fBbsP8nywzlY7QatIv15tEstOtYOwOIhn09CVEWShAshRDlS+3dhfPwGpKWgXXMDWr9r0Tzlo7esncqys2NzIRmpdmqEe9K2kx/BoXKey1NhYSH79u0jISFBBo0SFUbTNLTOvVCNWmB89hbGrBehTQL69XehVathdnhOGfk2lh3OYfFvRziUkUeYvydDm1SjV1wwYQEyKKQQVZ1coQghRDlQOadQ336MWvFHcd/vp2eiRUltYVnLyXawd3shx4/aCAjS6dDVn7BIT0kKK8CuXbtQStGkSROzQxFVkFa9JvqDz6DWr0B9+S7GM6PRht6E1nMAmm5ON5+8Igerjuaw+FA220/k46lr9GhYk9taV6NluB+6fC4JIf4iSbgQQpQhZThQS+ahvv8MoHjase59TbsorKxycxzs3VFI0mEbvn4aLeN9qRMr/b4ryukB2erXr4+fn0yrJ8yhaRpa+y6oZq1Rcz9FffkeatUi9BvuQqvXuEJisDkMNhzPY0liNuuO5WI3FC0i/Lg/IYLO0UHUj6lNcnIySqkKiUcI4R4kCRdCiDKi9u/E+O/bcCyxeD7boTejBQabHValkpvjYP9OK0cPF+Hjo9GiXXHy7eEhyXdFOnbsGCdPnqR3795mhyIEml8A2oh7UQk9MT6fjfHSeLQO3dCG3YpWvWaZH89hKLan5rPicA4rjmSTW2QQG+rNTa1r0DUmiOp+xc3NpUWOEOJ8JAkXQojLpFKOYcz9FDaugpj66BOmocU2NDusSiUrw87+3VZSjtnw9tFo1tqXmHqSfJtl+/bthIaGUqtWLbNDEcJJq9cY/alXUSsXFteMP30v2lVDisfi8PG9rH3bDcXWlDxWHslh9bFccqwOwvwt9GsQSvfYIKJldHMhxEWQJFwIIS6ROplZPOr58gUQUh1t5MNoCd2l6XkZUUqRmmLnwK5CMtIc+AfotIz3pXZdSb7NlJ+fz4H/b+/O46Oq7/3xv87sM9mTyb6QhB2C7IKI7JuKWrTW1ru1lR+3vdTb6q31a2upemtbanv7bb0U61K/vV1uFytaWxWogOwoiyyBsIRAQraZyTqZfc75/P6YZEggQIBJziyv5+NxHnO2OfPOvHPOzHvO53xOdTVmz57NM30UdSSNFtLsxRDTbod4788QGzdA7Pw7pOWfCbVQ0g28U7SArOBwkxu7ap346IITXX4F+Sl6LBmehlklqRieaeQ+QEQ3hEU4EdF1Eq4uiM1vQWx+G9DpIT3wL5Dm3w1Jb1A7tLgQCAhcqPGj5owPLqeC9Ewtpt1uQV6BHhKv+VZdZWUlJEnCmDFDc80t0Y2QTBZIK/4J4o4lEG/9BuJ3v4B4/01I93w2dI9xbf8/lnb5ZBxsdOHjC13Y39AFd0BBYaoBd43KwKySFJSms/AmopvHIpyIaICEswNi89sQW/8GKDKkhfeEmjlaktUOLS44O2TUnPbhwnk/FBnIK9Jj4jQLMrO1/NIbJYQQqKysxKhRo2AymdQOh+iaJGsupJX/AXHng1De+R3E//sZxLtvQLr3c5Cmz4ak0aKh04+P67vwUX0XjtvcUARQnmHEvWMycHtJKorTDDwGEVFEsQgnIroG0dEGsWkDxLb3AEmCNO8uSEvug5SaoXZoMS8YEGio86O2xo82hwyjScLw0UaUlBthtmjUDo8ucf78eXR2dmLZsmVqh0J0XaTCEmi/9H8gaqvhf/t/cfJPb+LA3jp8nDcR9UE99BoJt+RZsGpaLqYXJcNq4b28iWjwsAgnIroCUX8e4oN3IPZuA3Q6SIvvg7ToXkjJqWqHFtOEEHDYAqir8aOxLgBZBqy5Oky5zYL8Qj00vN47ah07dgxWqxW5ublqh0J0XRqdfnzS6MKhRiOO5HwGnkwFaYoX0+o+wT+6zmHS1DEw33onpCS2bCKiwccinIioF6EoQOVBKH//C3D8EyA9E9Ldn4E0/y42O78JQgh0tsuoO2vDycpOuF0KkpI1GDHOhOJSA896xwCn04mamhrMmzePTXMp6rkDMo42uXGo0YVDjS40dQWglYDRVjPuH5+JyflJGJ5pgmTPgdj4FsTffg/l/TcgzVoAad6dkApK1P4TiCiOsQgnIgIgnJ0Qe7dCbH8faKoHho2AtPI/IE29HZKOh8obIYSAs0NBQ50fDXUBuJwKjEYXcgt1KCo1INPKa71jSWVlJXQ6HUaPHq12KESX8QQUVDk8ONbsxtFmN860eCALID9Fj8n5SZhckIQJuRZY9Jd0yJZTAOmf/g3ivs9BbPkbxI5NoX4/Rk+AZv5dwMQZ/AwgoojjUYWIEpZQFKDqCMTOzRCH9gAApMm3QfqXR4HhY1kg3gChCLS1yGhuCKCpPoAupwK9XkJekR4TphhQMbEYNlsThBBqh0rXQVEUVFZWYvTo0TAYeBcAUp87IKPK7sHRZjcqbW6cafFCFkCaSYuKHAvml+Vicn4S8lIG9v8qpWZA+tQ/Qix/COLgHoit70J5aS2Qlgnp9oWQblsAKa9wkP8qIkoULMKJKOGIxjqIj7aHrvV2NAP5xZDu/5fQbWtSeL339Qr4FdiagmhuCMDWGETAL2AwSsjN12PcJD2yc3XQaCVIksT7e8eompoauFwuVFRUqB0KJahWTxAn7R5UOTyotLlR3eqFIoAMkxYVuRbML0vDhFwLClNvridzSaeHdOsc4NY5EBdqILa9B7H1XYh3/wSUjw4V49Pv4LXjRHRTWIQTUUIQrXaIj3dA7PsQqKsBzEmQptwG6ZHHeNb7OsmyQFtLEI7m0NDeKkMIIDVdg9IRBuTm65Gexabm8eTYsWPIzc1FTk6O2qFQAggqAjVtXlTZPTjpCA02VxAAYLXoMC7bgsXD01GRa0FBin7QjjVSURmkf/w3iIdWQnzyEcSeLaH7jf/hVaBiKqSpsyDdMh2SJWlQXp+I4heLcCKKS0IIoKEO4pO9EIc/AmpOAXpD6AvT8s8CE6ZC0rNZ7UAoikBHmwyHLVR0tzqCUGRAb5BgzdWhotSA3AI9O1eLUx0dHTh//jwWLVqkdigUh4QQaOoKoLrVizMtXpx0eHCm1Qu/LKDTSBieacJtxSkYnW3GGKsZWSrcOkzSGyBNnw1Mnx26ZeW+bRD7d0G89l8QOh0wdlKo/5BJt0JKShny+Igo9rAIJ6K4IYJBiDMnID7ZB3F4H2BvAowmYPwUSAvuhjRxBiSzRe0wo57Pq6CtRUabI4jWltCZbkUGtDogK1uHMRNMsObokZqu4dnuBHDs2DEYjUaMHDlS7VAoxilCoMHpx9lWH6pbvahu9eJsqxeugAIgdJZ7lNWMf5yYjdFWM4ZnGqHXRtePe1JaBqQlK4AlK0ItrA7ugTi4G+JXP4P4tQYYMQ7S+CmQJkwBisrUDpeIohSLcCKKWeGz3VWHYT9bBfnwfsDnCXWkM/FWSJ+bAYyZwDPeVxHwK+hol9HRFhraW2S4ukJfiE1mCRlZOoyZoEdmlg5pmVpoNCy6E4ksyzh+/DjGjh0LvX7oz0BS7HIHZNS2+3G+3YfzHT6ca/PibKsPnmDo+JKTpMPwTBNWjMvE8EwTyjNNSDfF1tdSKTMb0qJ7gUX3QrS3hlpeHT0A8dffQ7z5KyA9E63TZ0MZPg4YVcE+R4goLLaOdkSU0ISiAI11ENUngNPHIU4cATpaAZ0OYvxkaO5+EBgzERg2HJImus6eqE0IAa9HwNlxseDuaJPhdoW+EGu0QGqaFtl5OozO1iEjSwezReKZ7gRXXV0Nj8fDDtnoigJy6Oz2+XZf9+DF+XY/bK4AAEAjAfkpBpSmG/FgRXK44E41aq+x5dgipWdCmncXMO8uiEAAOF0JcewgfCePQNn8l9BKBSWQRo0PFeQjx0NKz1Q1ZiJSD4twIopawtUF1FZDVFeFCu/qk4DHBWg0QHE5pJnzII2bCGnEOOSUlqGxsTHhb30lhIDHrcDZoaCrU4azU4GzQ0aXU0Yw9J0YOj2Qlq5FXqEeaRlapGVokZSi4VluuszRo0dRUFCAzEwWC4lMCIF2r4z6Tn/34EN9px8NTj+augJQug+7WWYdhqUbMaskBcPSjShNN6IozQBDlDUpH2ySXg+MmwTN+MnIz89HQ+URKCePAqcqQz8eb3sPAgBy8iGVjwZKR0IqHQkUl0EyGNUOn4iGAItwIooKoqMNqD0LUVsNUVsN1J4N3T4MAMxJwPAxkJZ8CtKIsaEvLCZz+LmJdrZWUQQ8LgWurtDg7lLg6pJDjy4FihxaT6sDklO0SEnTIL9Ij+TU0Lgliddy07W1traivr4eS5cuVTsUGgJCCLR5ZTR3+dHcFUBzVwANnX7UO0OFt7v7um2NBOQk6VGYasC0wmQUphpQnGpESboRKXF2djtSpMxsaGbOB2bOBxD6vBOnKkNny8+dBvbvhAgGAa02dLa8dCRQOgJSYWlomn2ZEMUdFuFENGSEEEB7a6hJeeMFoKn7sbEO6GwPrWROAkrKIU2eCZQMh1RSDuQVJUzzciEEAn4Bj1vA61HgcYcGr1uBxxMqvj1uBT0n/CUNYLFoYEnWICtHh+JkTajYTtWyOTndlKNHj8JkMmH48OFqh0IRIISA0yfD4Q6GimzXxWK7uSsAmysAv3yxJVGqUYv8FAOK04yYWZyCwlQDClMNyE/WR11nabFGSssI97YOACIYAOrPQ9ScBs6dhjh7Etj5dwgR+uEDWTmhYrxwGFBYAim/GMgpYHFOFMNYhBNRRIlgAGi1A/ZmCEdzqIdyR/e4rQHwuEMr6nRAbiGkvCJgzjJIRaVASTlgzY3LwlGWBfw+AZ9Xgc/bz6PvYtHdcyYbACQp1EGayaKB2axBeqYeliQNkpI1SEoJzZPYjJwiLBAI4MSJE6ioqIBOx68K0U5WBDp8MlrcATjcQbS4A2hxB7uHnnlBBJSLRbZJJyE3yYCcZD0m5SchL1mPnGQ9cpP0yE02wKxnoT1UJJ0eGDYC0rARAO4EAIiAP/SDdX1tqEBvqIX4aDvQakc4iylpoSbt2flATmiQcvJDRXtyasL8eE0Uiwblk7WxsRHr1q2D0+mExWLB6tWrUVRUdNl6W7ZswVtvvQUhBCoqKrBy5UpotaGmTAcOHMCvf/1ryLKMYcOG4Stf+QpMJtNghEtEAyS87tCZ7LYWiI7W0Hh7K0R7S/d8B9DWCvT8eq/RABlWIDsPUnEZMHVW6Bf8/OJQsa2NvaaLQhEIBAT8/tAZa79fIODrNe5Xwst65vm9oedcSm+QYDRJMJo0MBolpKXrYbJIMFs0MFs0MJk1MJkkFtk05I4cOQKfz4fx48erHUrCCsgCHb4gOrwy2j1BdPguf+wK1sHh9KDDJ6NXfQ2dRoLVokOWRYcsix6jrObweJZZh5xkPdKM2rj8wTNeSHpDd2uwvi1RhNsFNF2AsDcBtkbA1ghhbwQqDwLOjosFuk4HpGcBmVZI6VYg0wpkZEHKsIbmp6YBKWm8Bp1IJYNShL/88stYtGgR5s2bh71792L9+vV4/vnn+6xjs9nwhz/8AWvXrkVaWhp++MMfYsuWLVi8eDG8Xi9eeuklPPPMMygsLMRrr72GN998Ew8//PBghEuUcEQgEOrgzOsGPJ7QuMsJ4ewEui4OoqsT6HKGpp0dgN/Xd0PmJCA9E0jPDP36PqoiVFxn5wHWXCDDCkmls2hCCCgKIAcFZDl0JlqRe6YvzgsGBIJBdD92T/cev2SZLPf/ehpNqKg2GCTojRL0BgnJKdrQPJMEk0mCobvY7im6NVp+AabotG/fPpSUlCA9PV3tUGKaIgS8QQXugIIun4wuvwKnX+4eD013+WU4L5nu8stw+ZXLtpek1yDNpEO6SYt0sw7luakwKCakGbXIsuhgteiRZdEhlQV23JIsSUD56FCHbpcQbleo9VmrHaLNAbQ6Qj+at9mBs1WhcTnY90lGU+iMevcgpaSFCvTkNCApGZI5CbAkhT7vLT3jFkia2PsRnSiaRPzbcUdHB2pqavD0008DAGbMmIHXXnsNNpsNOTk54fX27t2L6dOnhz/gFy9ejL/85S9YvHgxDh06hPLychQWFgIAli5diu9///sswimuCSEAOYhQdRgEgt3jwUBo3O8DAj7A7wf8vlBTNf/F6dCyXtN+H4TXA3i7i2yPOzR43aHt9UejAZJT+wxSVi6QnAqRlAKkpkOkZQHpmVBSMgCDEUIBhOg9iIvjXYAQQQgBKEqoQzFFCZ0o7xlX5NB4n3mXjIvweK/lPUV1d0EtSS74vIE+BfdAabSAXi9Bp5Og1UnQ6wGdXoLJrIFOL4UGnQSdLjRfb5C6C25NeFyrTbwO4ig+2e121NbW4u6771Y7lEEnhEBQEfDJAn5ZICArofGggF9W4Jd7P4bGPQEFnqACb/ejJ9Br3mXTV75bg0WvQbJBi2SDBslGLZINWuQlG5BkCM1PM2mRbtL1eezdy7gkScjPz+ddIShMsiQBw4aHbtPZz3KhKEBXR6jFmrMDoqsD6OwIzevsgHB2QDTUAic7Qj+8+7y44n+WyXyxODeaQoPBCKnXeJ/H3st1enR/0F4c9Lq+06EPXDapp7gV8SK8paUFGRkZ4WblkiTBarXC4XD0KcIdDgeys7PD0zk5OXA4HP0uy87ORmtrKxRFgaafnTEQCCAQCISnJUmC2WwOj0cr+4HTqG+rhNfrxeWfn1c47PWaPdDP3KtuWlxpwRUjuOw5ot9Dfd/1rvIyV37Vy9aTBrTeFbfd33pCABDdD6FxhMcRblZ9QqtDMBDo3kaowhQ9zw+vKy4uDj9KofkitK3w64TXufjaoa1IEJIEQOozLiCFLg4GICRN95+jASQLhJQEaLQQGk2ompQ0EBotYNBAmLSApnta0lxcT9JA9AzoHqTQ6wiB7sK6VzEdAEQbgLbeb56ve4gMSRP6DUCjkS55BKRL52lD43o9oNFqoNNJSElNhtfrglYbKog1WglaHbqnQ/O0utC4RgvodL0e2dx7SPQcj6P5uHy9hBCQReiaXFnpHhehcaVnvhCQlYvze9ZXuucHhQj9wBQ+/Ijw4Ur0OiSJ7mPVpdMAws+FEFCAXoeyXtvqPR89hy7R53UAoPXEfuhMFnziScPh4y0XX/OS7aLXdsOHwSss6/33hOaLPrGg9zqXLOv9WdfzNweV7veu+/0Ndr//QSX03gZ73uvu9/vi8ovr+WQFAfni+zMQEgCTXgOzTgNz70e9BlaL/rJ5Zp0GJr0GSXotko1apHQX3UkGLbQ3edyJx/0p3kRbjiStFkjLDA0DIILB0A/3bhfgdkF4XIC7K/SDvtsF4e4KLfN5Q4PfC3S0QfSM+3wX5/v9oW1eb9Ba7cXCXKtF9wd8zxcBQKu5OK7pWa4JnanXaLuX91omabofpV6DBq0WM2Rv93eaPstCywGEtgOEpqWex17rXbKOdOmyPsmQ+h+/2nqhGVfZzmVPHthr3Ew814ovgoQEBBcvj5r96WYNSjvRgb45vde7mV9xN2zYgDfeeCM8XVZWhrVr1/Yp5KNRVc1BnPEVhKcvf9f6LzSlqx7C+l922XOu8H4PdNuXxXrF/F3lOQNebwDvg4QrHtmv/jddfMHw6152gAEkBYD28gOd1M/6ktSzWIQXSZIUGu9+7Dkw98yXNL2nQ9cAhx5DB3hJo4Gk1XQ/aruH7nFNqFAPv67U6/XC4fW8fk98UvdnR6io7fsYWrfnUdJI0HQ/9hmXAI10yXY0Unjepcu0Wg002tD2Q4WwBK1G6p4XPV9SaPDl5eUN+msEZAVuvwxPoNfQPe0OyPAG5D7L3X4Z3qAMf1AJDbKAPyhfPBMaVOCXldCZ0mDfR+XGP74GRfehBhJCBwVNzzjQ57gghedenK8VMqY0V6MpuQx7TraHj3EXt3nxVXqme7/Wpa9/6fdDqde20Cum3vOk3ttB70ImNF8jSdBpugetBjqNBgbdxWlteJkEnUZzybqhcb1WA6NOA4NOA5NOA6NOC4MuNM+o03Y/amDoXs+kD52F1muj744DQ7E/0c1hjkJn4YXPC+H1QAQCodZ8wUB4PDQEgO5HEfCHOnrtvVwOhprCyTJEqNkbhCJfnFYumdf9GBrvfl7QD/hkAAJQROhHP0VBoAXQdzftE+EzEH2b+gmhhL5rKkr4+YAIbbv7ZMvl64vLvyNfdfqqZ6oue+7l9dO1Xut61r3Wti9dffA/DIPjbkHepFsH/XWGQsSL8KysLLS0tECWZWi1Wggh4HA4YLVa+6xntVphs9nC03a7PbyO1WrFsWPH+izLzMzs9yw4AKxYsQLLly8PT/d8QNrtdgSv1Ow2Cox9cCrm5+WhqamJTcmimCRJyIu7PIlLHgfnFXrOcMkyELiO5uHXKz5zFH+uJ0+KEOjyy+j0ynB2Xx/r8stw+WV0BXrGux+7p91+BV2B0PzgACpjg1aCqbsICw2h4syglaDXSNBrJZj1oWv5dRptaH54Wd/1dJruH5UkQNtdJGo0oXGtRoK2e76mZ1wjdU93r9P945mm149pmu7CtndR23PytHeR27tAvtkC8ejRo9jarODF1Z/ubqWVKPuT3D10UwCETtwh0D1EGx73oh9zdBUaPWDQAwa1A7n5PF3pqBtdP9fFPkmSYIqB/Umn0w3oRHDEi/C0tDSUlZVhx44dmDdvHvbt24ecnJw+TdGB0LXia9aswac//WmkpaVh8+bNmDVrFgBg0qRJeO2111BfX4/CwkJs3LgxvKw/er0eer2+32XRnKQeoudXN4pqzFP0Y46ilxAC7qCA2+HCqYYutHuDcPpkdPiC6PTK6PDJ6PSGenzu9IU6quqvjtZKQLJBC4sh1MQ3qbtpb7ZFhyRD97ReG24KbNRJ3Y+h5sHG7mLb2H3GNN7czP+/EAJHjx5FaWkp0tPTea1xjOBxL/oxR7GBeYoN8ZKnQWmOvmrVKqxbtw4bNmyA2WzG6tWrAQAvvfQSpk2bhmnTpiE3NxcPPvggvv3tb4dvUbZgwQIAgNlsxpe+9CW88MILkGUZJSUl4W0QEVF08QUV2N0BtLqDaPVcHNo8wT7z/HLfD02dRkKaUYtUkxapRi0yzXqUZoR6ek4xhjqmSjPqkGLUhjurMkRhc+B4YbPZYLfbcdttt6kdChERUVwblCK8oKDgsluSAcCXvvSlPtOLFi3CokWL+t1GT7FORETqEUKgy6/A7grA5gpc8hiE3RVAp6/vtQZJeg0yzDpkmnXISdJjTLYZmWYdMi16jCzKheLuQKoxdKaaBXX0OHr0KFJSUjBs2DC1QyEiIopr6tzAl4iIooYQAq2eIJqcATQ4/Wh0+tHgDKCpy48mZwCe4MX7FRu0EqwWPXKSdCjPMGJmUTKyk/TITgrdnzjDrINJ13//HaFbKqWjsdETF03J4onP58OpU6cwffr0K/a/QkRERJHBIpyIKEG4AzIudPhR1+FDfefFQrvR6Q/fz1gCkJ2kQ16KAaOtZswpTUVud5Gdk6RHmknLs9dxqKqqCoqiYNy4cWqHQkREFPdYhBMRxRl3QEZdd7Fd2+4Lj9vdF+8WkZOkQ353oT2/LA15KXoUpBiQm6yHQcszoYmkp0O2srIyJCUlqR0OERFR3GMRTkQUoxQh0OgMoKbNi7OtXtS0+XC+w4eW7mJbApCbrEdxmhFzSlNRnGZESboRhamGKzYZp8TT2NiI1tZWzJkzR+1QiIiIEgKLcCKiGOCXFdS2+3G2zdtddPtwrt0bbkaeZdahLMOI+WVpKE4zoCQtVGwbWWzTNRw9ehRpaWkoLi5WOxQiIqKEwCKciCjKKEKgvtOP0y1enHJ4cKrFg3NtPsgC0EhAQYoB5RkmzChORnmGCWUZRqSZeDin6+fxeHDmzBnMnDmT1/oTERENEX5rIyJSWbsniJMtHpxyeHG6xYMzLV64AqEeyYtSDRhlNWHR8HQMzzShNN3Is9sUMSdOnIAQAmPHjlU7FCIiooTBIpyIaAgJIdDgDOC4zY3jdjeO2zxo6goAANJNWoyymrFiXCZGZpkxMsuEJINW5YgpXgkhcOzYMYwcORIWi0XtcIiIiBIGi3AiokEkKwLn232otLlRafPghN2Ndq8MCUBphhFTC5MxLtuM0VYzrBYdmwTTkLlw4QLa29uxcOFCtUMhIiJKKCzCiYgiSIhQ0X24yY3DTS6csHvgDijQaSSMygo1Kx+XbcaYbDPPcpOqjh49ioyMDBQUFKgdChERUUJhEU5EdJPsrgAON7lwuNGNw80udHhl6DUSxuWEmpaPz7FgZJaJ99+mqOF2u3H27FnMnj2brS+IiIiGGItwIqLr5A0qONLkwsEGFw43udDgDEACMDzThEXlaZiYn4QxVjM7UKOoVVlZCUmSMGbMGLVDISIiSjgswomIBqDR6cf++i7sb3DhWLMbQUUgL1mPyflJ+OdJSajItSDFyOblFP2EEKisrMSoUaNgMpnUDoeIiCjhsAgnIupHQFZQafNgf30XDjR0ocEZgE4joSLHjH+ZnI1pBckoSDWoHSbRdTt//jw6OzuxbNkytUMhIiJKSCzCiYi6uQMyDtS7sPeCEwfqXfAEFWRZdJhWkIzPT07CLXlJMOvZxJxi27Fjx2C1WpGbm6t2KERERAmJRTgRJbQObxAfXejC3jonPmkKNTMvzzBixbhM3FqUjNJ0IzuuorjhdDpRU1ODefPm8f+aiIhIJSzCiSjhtLgD2F3rxN46J47bPRACGJttxj9PysbM4mTkJrOZOcWnyspK6HQ6jB49Wu1QiIiIEhaLcCJKCJ0+GbtrO7HjvBOVzW5oNcDEvCR8+dY83FqYjHQzD4cU3xRFQWVlJUaPHg2DgT80ERERqYXfOokobrkDMvbVdWHH+U580uiCAHBLrgVfmZmHmcUpSDawN3NKHDU1NXC5XKioqFA7FCIiooTGIpyI4kpAFtjf0IUPazpxoKELfllgXLYZK6flYlZJCtJNPOxRYjp27Bhyc3ORk5OjdihEREQJjd9GiSjmCSFwstmJP3zchG3nOuH0yRieacTDt1gxe1gqspP0aodIpKqOjg6cP38eCxcuVDsUIiKihMcinIhiVrs3iA9rOrHlbAfOtfuQbtJiYXkaFpSnYVi6Ue3wiKJGZWUlDAYDRo0apXYoRERECY9FOBHFlKAi8PGFLnxwtgMHG7ogSRJuLUrGVxeMRqnJDw3vukTUhyzLqKysxNixY6HXs1UIERGR2liEE1FMsLsC2HSmHZvPtKPNK2NEpgmPTM3FHaWpSDPpkJ9vRWNjI4QQaodKFFWqq6vh8XjYIRsREVGUYBFORFFLVgQONrjw/uk2HGx0wajVYF5ZKpaOTEdZhknt8IhiwpEjR1BQUICsrCy1QyEiIiKwCCeiKNTqCeLvZ9qx8Uw7HO4ghmca8eVb83DHsFSY9Rq1wyOKGS0tLWhoaMCyZcvUDoWIiIi6sQgnoqgghECVw4N3qtqwp84JvUbCHaWpWDYyHSOzzGqHRxSTjhw5AovFguHDh6sdChEREXVjEU5EqgrIArtqO/FOVRvOtHpRkGLAI1NzML8sDUkGrdrhEcUsn8+HqqoqTJ48GVot9yUiIqJowSKciFTR4Q1i4+l2vHu6HW2eICblJ+Hb84owpSAJGoldnBPdrKqqKgSDQXbIRkREFGVYhBPRkKrt8OHtE634sKYTkgTML0vD8tEZKOF9vYkiRgiBI0eOoLy8HMnJyWqHQ0RERL2wCCeiIXHC7sabx1vx0YUuZJp1+OwtViwZkY5UI5vJEkVafX092traMG/ePLVDISIiokuwCCeiQaMIgQP1Lrx5vAXH7R4UpRrw6Mw8zC1Ng17LJudEg+XIkSPIyMhAUVGR2qEQERHRJViEE1HEBRWB7ec6seF4C2o7/BhtNeObcwoxvSiZ13sTDbKuri5UV1djzpw5kLi/ERERRR0W4UQUMQFZ4IOz7fhzZQtsriCmFSThS7fmYVy2mcUA0RA5duwYdDodxowZo3YoRERE1A8W4UR00wKygr9Xd+CNyha0uIO4fVgKvjU3C6UZJrVDI0oosiyjsrISY8aMgdHIzg6JiIiiEYtwIrphflnB5jMd+HNlC9q8QcwelooHK7JQksYv/0RqOHv2LFwuFyZMmKB2KERERHQFLMKJ6Lr5ZQUbT7fjzeOtaPcGMWdYKh6ckIWiVBbfRGo6cuQICgoKYLVa1Q6FiIiIroBFOBENmKwIfHC2A78/6kCbJ4i5pal4sMKKwlSD2qERJbyWlhbU19dj2bJlaodCREREV8EinIiuSRECu2ud+O1hOxqcAcweloKHb8lm8U0URY4cOQKLxYLhw4erHQoRERFdBYtwIroiIQQONrjwm8N2nG3zYWpBEp6YXYjyTHa4RhRNfD4fqqqqMGnSJGi1WrXDISIioqtgEU5E/Tphd+N/Dtlx3O7B2Gwzvre4BONzLGqHRUT9OHnyJILBICoqKtQOhYiIiK6BRTgR9dHo9ONXh2zYU9eFsgwjvj2vCFMLknifb6IoJYTAkSNHUF5ejpSUFLXDISIiomtgEU5EAACnT8Yfjjnw3qk2pJl0eGxWPuaUpkLD4psoql24cAGtra2YO3eu2qEQERHRALAIJ0pwAVng3VNt+OMxB4IK8NkJVtw7JhNGnUbt0IhoAD755BNkZWWhqKhI7VCIiIhoACJahPt8Pqxfvx7V1dXQaDR4+OGHMWPGjMvWa21txfr162Gz2aDX61FQUIBVq1YhOTkZALB69Wro9Xro9XoAwIoVKzBr1qxIhkqU8IQQ2FPnxK8O2WFzBbB4eDoevsWKdDN/myOKFR0dHaipqcGCBQt4yQgREVGMiOi37XfeeQd6vR4vvvgibDYbvvWtb2H8+PHh4rqHRqPBAw88gDFjxgAAfv3rX+O3v/0t/vVf/zW8zuOPP46SkpJIhkdE3c61efHK/mYcs3kwJT8J35xbhGHpRrXDIqLrdOTIEZhMJowePVrtUIiIiGiAItredPfu3Vi6dCkAICcnB2PHjsX+/fsvWy89PT1cgAPAyJEjYbPZIhkKEfWjyy/jlf3NeOy9c2jzyvjO/CJ8Z0ExC3CiGOT3+1FZWYnx48eHW44RERFR9IvomXCHw4Hs7OzwdE5ODhwOx1WfoygKNm7ciOnTp/eZ/+KLL0JRFIwcORIPP/wwUlNTr7iNQCCAQCAQnpYkCWazOTwerXpii+YYKT7ypAiBD6o78D+HbPDLAv8yOQfLR2dCr43dv6m3eMhRImCeIquqqgqBQAC33HJLRN9T5ik2ME/RjzmKDcxTbIi3PF1XEb5mzRrU19f3u2zt2rUA+r4xQoirbk8IgVdffRUWiwXLli0Lz3/22WdhtVoRDAbx+9//HuvWrcNTTz11xe1s2LABb7zxRni6rKwMa9eu7fODQDTLy8tTOwQagFjNU2VjJ17YcgqVjZ1YNjYX/z5vBLKT4/PMd6zmKNEwTzdPUZTwWfDBaorOPMUG5in6MUexgXmKDfGSp+sqwp977rmrLrdarbDZbOGz1na7HVOmTLni+q+//jpaWlrwxBNPQKO52DLearWGgtPpcPfdd+OrX/3qVV93xYoVWL58eXi654cAu92OYDB49T9KRZIkIS8vD01NTdf8wYLUE6t56vQF8T+H7Nh8ph3D0o343uJhqMi1IOhsRaNT7egiK1ZzlGiYp8g5f/487HY75s6di8bGxohum3mKDcxT9GOOYgPzFBtiJU86nW5AJ4Ij2hx95syZ2LhxI0aMGAGbzYYTJ05g1apV/a77y1/+Ek1NTXjiiSeg010Mw+v1QpZlJCUlAQB27dqFsrKyq75u757ULxXNSeohhIiJOBNdrORJCIFtNZ345UEbZEXg/5uWi2Uj06HVSDER/82IlRwlOubp5n3yySewWq3Iz88ftPeSeYoNzFP0Y45iA/MUG+IlTxEtwu+9916sX78ejz76KDQaDR555JFwz+ibNm1CW1sbHnroIVRVVeH9999HYWEhvvnNbwIIXT/+xBNPoKOjAz/+8Y+hKAqEEMjNzcXq1asjGSZR3Gro9GP9x0040uTGHcNS8MjUXGTwlmNEcaW9vR3nzp3DokWL4ubaOCIiokQS0W/nJpMJjz32WL/LlixZEh4fM2YM/vjHP/a7Xm5uLn74wx9GMiyiuBeQBTYcb8Efj7Ug06LDd+YXYUpB8rWfSEQxp+e2ZKNGjVI7FCIiIroBPEVGFOOO29xYt68JDU4/PjU2E5+dYIVRF9G7DxJRlPD5fKisrMSkSZP6XMpFREREsYOf4EQxyuWX8atDdmw8045RWSb85M5SlGaY1A6LiAZRVVUVgsEgJkyYoHYoREREdINYhBPFoIMNXfjvfU1w+RWs6tXxGhHFLyEEDh8+jBEjRoT7WyEiIqLYwyKcKIZ0+WX88oANH5ztwKQ8C1bPyEdOcv93BiCi+HL27Fm0t7f36WOFiIiIYg+LcKIYsb++C+v2NcETULB6Rh4WD09jz8hECeTQoUPIz89HXl6e2qEQERHRTWARThTlunwyXjvYjC1nOzElPwn/NiMP2Uk8+02USJqbm9HQ0IC7775b7VCIiIjoJrEIJ4pi++tD1377gwoenZmHheU8+02UiA4ePIi0tDSUlZWpHQoRERHdJBbhRFHIG1Tw+kEb3j/djin5SVg9Mw9WC89+EyWizs5OnDlzBnPmzIFGw9sPEhERxToW4URR5qTDg/+7uwEOdxBfmh7q+Zxnv4kS1+HDh2EwGDBu3Di1QyEiIqIIYBFOFCVkReCPxxz447EWDM804el5xShMNagdFhGpyOfz4dixY7jlllug17M1DBERUTxgEU4UBRo6/fiv3Q2obvXiwYosfKbCCh3v+02U8CorKyHLMiZOnKh2KERERBQhLMKJVCSEwKYzHXjtQDMyLTr8YMkwjLaa1Q6LiKKALMv45JNPMGrUKCQnJ6sdDhEREUUIi3AilXT5ZPz3vkbsqevC0hHp+MKUHJj17HSJiELOnDmDrq4uTJ48We1QiIiIKIJYhBOpoMruwY931cMVUPB/5hTituIUtUMioigihMChQ4dQXFyM7OxstcMhIiKiCGIRTjSEFCHw5vFW/PawHaOyzHh+UQFyktnZEhH11dDQAJvNhnvvvVftUIiIiCjCWIQTDZF2TxA/2d2Aw01uPDA+C5+7hZ2vEVH/Dh48iMzMTAwbNkztUIiIiCjCWIQTDYFPGl34ye4GAMAzC4oxKT9J5YiIKFq1tLSgpqYGCxcuhCTxhzoiIqJ4wyKcaBDJisD/HnHgjcoWTMyz4GuzCpBh5m5HRFd24MABJCUlYcyYMWqHQkRERIOA1QDRIGn3BvHjXQ041uzGP07Mxv3jM6HhWS0iuorOzk6cOnUKt99+O7RardrhEBER0SBgEU40CKrsHvxwRz2CQuDZBcW4JY/Nz4no2g4dOgSDwYDx48erHQoRERENEhbhRBEkhMDfTrXhlwdsGJllxjfuKECWhb2fE9G1eTweVFZWYsqUKTAYDGqHQ0RERIOERThRhHgCCtbta8SO807cMyYDn5+cw97PiWjADh8+DACYOHGiypEQERHRYGIRThQBFzp8+MGOethdATwxuwCzh6WqHRIRxRC/34/Dhw+joqICZrNZ7XCIiIhoELEIJ7pJe+qc+L+7G2G16PCjZaUoTjOqHRIRxZjKykoEAgFMnjxZ7VCIiIhokLEIJ7pBihD449EW/O9RB2aVpODfZ+bDrNeoHRYRxRhZlnHw4EGMHj0aKSkpaodDREREg4xFONENcAdk/HRPI/bWdeEfJlrx4PgsSLz9GBHdgJMnT8LlcmHKlClqh0JERERDgEU40XVqcvrxvQ/rYXMF8M25hZhRxDNXRHRjFEXBgQMHUF5ejqysLLXDISIioiHAtrNE1+Fwkwtff/8cfLKCHy4bxgKciG7KmTNn0NbWhunTp6sdChEREQ0RngknGgAhBN6pasVrB5pxS64FX59diBSjVu2wiCiGCSHw0UcfYdiwYcjNzVU7HCIiIhoiLMKJriEgC3x3YxX+crQZnxqbiX+elA0t7/9NRDfpzJkzaG1txcKFC9UOhYiIiIYQi3Ciq3D6ZPxgez1OtnjwtVn5mF+WpnZIRBQHhBD4+OOPUVxcjPz8fLXDISIioiHEIpzoChqdfjy39QKcfhk//8xk5Go9EEKoHRYRxYGzZ8/C4XDg05/+tNqhEBER0RBjx2xE/ai0ufHE++cAAC8sK8WkonRV4yGi+NFzLXhRUREKCgrUDoeIiIiGGItwoktsq+nAmg/qMCzDhB8uHYaCFIPaIRFRHDl37hzsdjtuvfVWtUMhIiIiFbA5OlE3IQT+96gDfzjaggXlafi3W/Og17IDNiKKnJ6z4AUFBSgsLFQ7HCIiIlIBi3AiAH5ZwYt7mrD9fCf+aWI2HhifCUliAU5EkVVbW4vm5mZ86lOf4jGGiIgoQbEIp4TX5ZPx/IcXcKbVi2/MLsDtw1LVDomI4pAQAvv27UNeXh6Ki4vVDoeIiIhUwmvCKaHZXQE8tfk86jp8eG5hMQtwIho058+fR1NTE2bMmMGz4ERERAmMZ8IpYZ1v9+HZLXXQaoAfLBmGojSj2iERUZwSQmDPnj0oKChASUmJ2uEQERGRingmnBJSZbMbT20+j1STlgU4EQ26M2fOwG6347bbbuNZcCIiogTHM+GUcHbVduK/djViXLYZ/2dOIZIMWrVDIqI4pigK9u7di5KSEvaITkRERCzCKbH87WQbXtnfjDuGpeLfb8vnLciIaNCdPHkSbW1tWLJkidqhEBERURRgEU4JQQiBX39ix5+Pt+JTYzPxL5OzoWGTUCIaZLIsY9++fRg+fDhyc3PVDoeIiIiiQESLcJ/Ph/Xr16O6uhoajQYPP/wwZsyY0e+6n/nMZ1BSUhK+Nu6LX/wixo4dCwBobGzEunXr4HQ6YbFYsHr1ahQVFUUyVEogsiLw84+a8PfqDnxxSg7uG5updkhElCAqKyvR2dmJe+65R+1QiIiIKEpEtAh/5513oNfr8eKLL8Jms+Fb3/oWxo8fj+Tk5H7X/+53vwuTyXTZ/JdffhmLFi3CvHnzsHfvXqxfvx7PP/98JEOlBBGQBX6yuwF76pz46m35WFCepnZIRJQggsEgPv74Y4wePRpZWVlqh0NERERRIqK9o+/evRtLly4FAOTk5GDs2LHYv3//dW2jo6MDNTU1uOOOOwAAM2bMgM1mg81mi2SolAB8QQXf+/AC9l3owpN3FLIAJ6IhdeTIEbjd7iu2CCMiIqLEFNEz4Q6HA9nZ2eHpnJwcOByOK67/zDPPQJZlVFRU4KGHHoLJZEJLSwsyMjKg1YZ6rJYkCVarFQ6HAzk5Of1uJxAIIBAIhKclSYLZbA6PR6ue2KI5xljl8sv4z611ONvmxXfmF2NiftINb4t5in7MUWxIpDz5fD4cOHAA48ePR0ZGhtrhXJdEylMsY56iH3MUG5in2BBvebquInzNmjWor6/vd9natWsB9H1jhBBX3NbPf/5zWK1WeL1evPLKK/jNb36DlStXXraNgdiwYQPeeOON8HRZWRnWrl3b5weBaJaXl6d2CHGl1eXHE298gobOAH7+0BRMKIjMGXDmKfoxR7EhEfK0ceNGBINB3HPPPUhLi81WOImQp3jAPEU/5ig2ME+xIV7ydF1F+HPPPXfV5VarFTabDampqQAAu92OKVOmXHFdADCZTFi6dCl+8YtfAACysrLQ0tICWZah1WohhIDD4Qiv358VK1Zg+fLl4emeIt5utyMYDA78DxxikiQhLy8PTU1NV/3BggbO7gpgzQe1cPtlPL+oBFbJjcZG901tk3mKfsxRbEiUPDmdTmzfvh1TpkyB2+2G231zx6Chlih5inXMU/RjjmID8xQbYiVPOp1uQCeCI9ocfebMmdi4cSNGjBgBm82GEydOYNWqVZet19XVBb1eD6PRCEVRsHv3bpSVlQEA0tLSUFZWhh07dmDevHnYt28fcnJyrtgUHQD0ej30en2/y6I5ST2EEDERZ7Sr7/TjOx/UQpKA7y8ZhvwUQ0TfV+Yp+jFHsSHe87R3717o9XpMmTIlpv/OeM9TvGCeoh9zFBuYp9gQL3mKaBF+7733Yv369Xj00Ueh0WjwyCOPhHtG37RpE9ra2vDQQw+hoaEBL7/8MiRJgizLKCsrwxe+8IXwdlatWoV169Zhw4YNMJvNWL16dSTDpDhU2+HDt/9ei2SDFs8uLIbV0v+PMkREg8nhcOD48eOYO3cujEaj2uEQERFRFIpoEW4ymfDYY4/1u2zJkiXh8VGjRuFHP/rRFbdTUFDAW5LRgJ1r82LNB3XIMOvw3MJipJki+m9NRDRgu3btQnp6OioqKtQOhYiIiKJURG9RRjTUzrZ68fQHdciy6PCfi0pYgBORampra3H+/HnMmjUrfIcPIiIiokuxCKeYdabFi29/UIvcJD3+c2EJUo380ktE6hBCYNeuXcjLy8Pw4cPVDoeIiIiiGItwikknHR6s+aAWBSkGPLuwGMkswIlIRVVVVbDb7Zg9e3bc3MOUiIiIBgfb7lLMOWF349ktF1CaYcSa+UWw6FmAE5F6/H4/du3ahZEjR6KgoEDtcIiIiCjKsQinmFJpc+O5rRcwItOIp+cVw6xnYw4iUtfHH38Mn8+H2bNnqx0KERERxQAW4RQzjjW78dzWOoy2mvGteUUw6ViAE5G62tvbcejQIUybNg0pKSlqh0NEREQxgEU4xYTjNjf+c1sdxmSb8a25RTCyACeiKLBz505YLBZMnTpV7VCIiIgoRrCSoah30uHBc1svYGQWC3Aiih61tbU4e/YsZs+eDb1er3Y4REREFCNYzVBUO93iwbNb6lCWYcTT81iAE1F0UBQF27dvR0FBAUaOHKl2OERERBRDWNFQ1Drb6sUzW+pQlGbEt+fzGnAiih5HjhxBa2sr5syZw1uSERER0XVhVUNR6Xy7D2u21CEv2YDv8DZkRBRFXC4X9uzZg4qKCuTk5KgdDhEREcUYFuEUdeo6fPj2B7WwWnR4dkExkgwswIkoeuzYsQM6nQ6zZs1SOxQiIiKKQSzCKarUd/rx7b/XIt2kw3MLipFsZAFORNGjtrYWp06dwuzZs2EymdQOh4iIiGIQi3CKGs1doQI8yaDFcwuLkWriHfSIKHoEg0Fs27YNBQUFGDNmjNrhEBERUYxiEU5RodUTxJoP6qDXSvjPRSVIZwFORFHmwIED6OzsxPz589kZGxEREd0wVjqkOqdPxjNb6hCQBb6/pASZZv5bElF0aW9vx/79+zF58mRkZWWpHQ4RERHFMFY7pCpPQMF/bqtDqyeI7y8uQW6yQe2QiIj6EEJg27ZtsFgsuPXWW9UOh4iIiGIcm6OTagKygu9tv4Dadj++M78IxWlGtUMiIrrMiRMnUFtbi/nz50Ov16sdDhEREcU4FuGkClkR+NGuBlTZPXh6XhFGZpnVDomI6DIulws7duzA6NGjUVpaqnY4REREFAdYhNOQU4TAf+9rxMcXuvCN2YWoyLWoHRIRUb+2bdsGjUaDOXPmqB0KERERxQkW4TSkhBB47YANW8924muzCjC9KFntkIiI+nXmzBlUV1dj3rx5MJvZWoeIiIgig0U4Dak/HG3BX0+24V+n52JOaara4RAR9cvr9WLbtm0oLy/HiBEj1A6HiIiI4giLcBoyG0+343+POvAPE624c1SG2uEQEV3R9u3bEQwGeU9wIiIiijgW4TQk9tU58dLHTbhrVDoeHM977BJR9KqurkZVVRXmzJmDpKQktcMhIiKiOMMinAbdCZsbP9rVgBlFKVg5NZdnlYgoarndbnzwwQcoKyvD2LFj1Q6HiIiI4hCLcBpUdR0+fPfDCxiZZcLjt+dDq2EBTkTRSQiBDz74AJIkYeHChfzBkIiIiAYFi3AaNC3uAJ7ZUocssx7fnFsEg5b/bkQUvSorK1FTU4OFCxfCYuGtE4mIiGhwsCqiQdHll/Hs1gsAgDULipBs0KocERHRlbW3t2PHjh0YN24cysvL1Q6HiIiI4hiLcIo4v6zg+x9eQIs7gO8sKIbVolc7JCKiK1IUBZs3b4bZbMacOXPUDoeIiIjiHItwiihZEfjJ7kacavHi6blFKEkzqh0SEdFVffTRR2hqasLixYthMBjUDoeIiIjiHItwiqhfHbJhb50TX7+9AGNzeE0lEUW3uro6fPTRR7j11ltRWFiodjhERESUAFiEU8S8e6oNb1e1YeXUXMwoTlE7HCKiq3K73di0aROKioowffp0tcMhIiKiBMEinCJif30XXtnfjHvGZODu0Rlqh0NEdFVCCGzatAmKomDp0qXQaPhxSEREREOD3zropp1t9eKFnQ2YVpiML0zOUTscIqJrOnjwIGpra7FkyRIkJSWpHQ4RERElEBbhdFMc7gC+u+0CClMN+I/bC6DVSGqHRER0VY2NjdizZw+mTp2KYcOGqR0OERERJRgW4XTD3AEZ3912AZIEPD2vCCYd/52IKLq5XC68++67yMvLw8yZM9UOh4iIiBIQqya6IbIi8KOdDWhyBvDteUXINOvUDomI6KpkWca7774LALjzzjuh1WpVjoiIiIgSEYtwum5CCLx6oBmHGl14ck4hSjNMaodERHRN27dvR3NzM+666y5eB05ERESqYRFO1+2dk21491Q7vnxrHibn84ssEUW/48eP4+jRo5g7dy7y8/PVDoeIiIgSGItwui7767vwywM2rBibiSUj0tUOh4jompqbm7F161aMHz8eFRUVaodDRERECY5FOA1YbYcPP94VuhXZP0/OVjscIqJrcjqd+Otf/wqr1Yq5c+dCkngHByIiIlIXi3AakE6fjOe3XUC2RY/Hb8+Hhl9kiSjK+f1+vPPOO9BoNFi+fDl0OnYgSUREROpjEU7XFFQEXthRD1dAwbfmFcKiZ4/CRBTdFEXBxo0b0dHRgXvuuYcdsREREVHUYBFO1/Tq/mZU2tx46o5C5CYb1A6HiOiadu7ciXPnzuHOO++E1WpVOxwiIiKisIi2zfP5fFi/fj2qq6uh0Wjw8MMPY8aMGZetd+HCBfz0pz8NT7vdbrjdbrz++usAgNWrV0Ov10Ov1wMAVqxYgVmzZkUyVBqg90614b3T7Vg9Iw/jcy1qh0NEdE1HjhzBJ598grlz56K0tFTtcIiIiIj6iGgR/s4770Cv1+PFF1+EzWbDt771LYwfPx7Jycl91isqKsILL7wQnn7ttdcu6yzn8ccfR0lJSSTDo+t0pMmFl/c3Y/noDPaETkQx4cyZM/jwww8xceJETJw4Ue1wiIiIiC4T0ebou3fvxtKlSwEAOTk5GDt2LPbv33/V5wQCAezcuRMLFiyIZCh0kxqdfqzdUY9bci344pQctcMhIrqmuro6vP/++xgxYgTmzJmjdjhERERE/YromXCHw4Hs7Iu3rsrJyYHD4bjqc/bt24ecnJzLmgy++OKLUBQFI0eOxMMPP4zU1NQrbiMQCCAQCISnJUmC2WwOj0erntiiLUaXX8bzH15AmlGHb9xRBJ02sbsOiNY80UXMUWwYzDw1Nzfjr3/9K4qKirB06VJoNIl93LoZ3J9iA/MU/Zij2MA8xYZ4y9N1FeFr1qxBfX19v8vWrl0LoO8bI4S45ja3bt162VnwZ599FlarFcFgEL///e+xbt06PPXUU1fcxoYNG/DGG2+Ep8vKyrB27do+PwhEs7y8PLVDCFOEwNc3HEWbV8Hr/zgVpZnsUbhHNOWJ+sccxYZI58lut+Odd95BXl4eHnnkERiNxohuP1Fxf4oNzFP0Y45iA/MUG+IlT9dVhD/33HNXXW61WmGz2cJnre12O6ZMmXLF9e12O06dOoXHH3/8su0AgE6nw913342vfvWrV33dFStWYPny5eHpnh8C7HY7gsHgVZ+rJkmSkJeXh6ampgH9YDEU/veIHTurHfj2/GIYfZ1obOxUOyTVRWOeqC/mKDYMRp46OzvxxhtvwGg04s4770Rra2tEtpvIuD/FBuYp+jFHsYF5ig2xkiedTjegE8ERbY4+c+ZMbNy4ESNGjIDNZsOJEyewatWqK66/detWTJ8+vc/9W71eL2RZDs/btWsXysrKrvq6vXtSv1Q0J6mHECIq4vzoghP/e8SBf7jFiqkFSVERUzSJljzRlTFHsSFSeXI6nfjzn/8MSZJw3333wWQyMf8RxP0pNjBP0Y85ig3MU2yIlzxFtAi/9957sX79ejz66KPQaDR45JFHwj2jb9q0CW1tbXjooYcAhN7ADz/8EF/+8pf7bKOjowM//vGPoSgKhBDIzc3F6tWrIxkm9aO+04+f7G7EjKJkfLoiS+1wiIiuyul04s033wQA3H///UhJSVE5IiIiIqKBiWgRbjKZ8Nhjj/W7bMmSJX2mJUnCunXrLlsvNzcXP/zhDyMZFl2DOyDj+9svINOsw9dm5UMTJx0eEFF86urqwoYNG6AoCh544IGrdtxJREREFG3YfWyCE0LgZ3ua4HAF8dScQlj0WrVDIiK6oq6uLrz55psIBoO4//77WYATERFRzInomXCKPX8+3oo9dU58c04hitLYozARRa/29na89dZbUBQF999/P9LS0tQOiYiIiOi6sQhPYAcbuvCbT+z4TEUWZhTzekoiil4tLS3YsGEDDAYDHnjgAV4DTkRERDGLRXiCanL68eNdDZhSkITPTrCqHQ4R0RU1NTXh7bffRkpKCj71qU/BYrGoHRIRERHRDWMRnoB8QQU/2FGPZIMWj88qgFbDjtiIKDrV1tbib3/7G7Kzs3HPPffAaORlM0RERBTbWIQnGCEEXvq4CQ2dfvxw6TAkG9kRGxFFp8rKSmzduhUlJSW48847odfr1Q6JiIiI6KaxCE8wf6/uwJaznfjabfkozTCpHQ4R0WWEENizZw/279+PCRMmYO7cudBoeDMPIiIiig8swhPI2VYvXt7fjKUj0jG/nL0KE1H0CQaD2Lx5M06fPo3Zs2dj8uTJkCReMkNERETxg0V4gnD5ZazdUY+iVANWTstROxwiost0dXXh3Xffhd1ux1133YURI0aoHRIRERFRxLEITwBCCPxsbyOcPhnPLCiGQctmnUQUXRoaGvDuu+9CkiQ88MADyMvLUzskIiIiokHBIjwB/KWqDXvruvDUnELkpxjUDoeIKEwIgaNHj2L79u3Iy8vDXXfdxVuQERERUVxjER7nTtjc+NUhGz41NhMzi1PUDoeIKCwQCGDbtm04ceIEJk6ciNmzZ0Or5R0biIiIKL6xCI9j7d4gXtjZgNFWM/5pUrba4RARhTkcDrz33ntwOp1YvHgxxo4dq3ZIREREREOCRXickhWB/9rVgKAi8PXZBdBp2LswEalPCIHDhw9jx44dyMjIwGc/+1lkZmaqHRYRERHRkGERHqf+eMyBI01uPLuwGFkWvdrhEBHB4/Hg17/+NY4fP45bbrkFs2fPhk7HjyEiIiJKLPz2E4eONLnwh6Mt+OwtVkzMS1I7HCIiVFdXY8uWLQCAu+++G8OHD1c5IiIiIiJ1sAiPMx3eIP5rdyMqci14cHyW2uEQUYLzer348MMPcfLkSZSVleFzn/scXC4XhBBqh0ZERESkChbhcUQRAj/d0whZEXhsVj60vA6ciFQihEB1dTW2bdsGWZbDna+lpqbC5XKpHR4RERGRaliEx5G/VLXiQIML355XxOvAiUg1HR0d+PDDD3Hu3DmUlpZiwYIFSE5OhiTxh0EiIiIiFuFx4nSLB/9zyI5Pjc3EtMJktcMhogQkyzIOHTqEjz76CCaTCXfffTfKy8tZfBMRERH1wiI8Drj8Mn60swHlmSb840TeD5yIhpYQAjU1Ndi1axfa29sxadIkzJgxAwaDQe3QiIiIiKIOi/AYJ4TAzz9qQqdPxrMLiqHX8owTEQ0dm82GnTt34sKFCyguLsadd94Jq9WqdlhEREREUYtFeIzbXN2Bneed+PrtBchL4VknIhoaXV1d2Lt3L44fP46MjAzcc889KC0tZdNzIiIiomtgER7Datt9eGV/M5aMSMMdpalqh0NECcDlcuHAgQM4evQo9Ho95s2bh/Hjx0Or1aodGhEREVFMYBEeo3xBBS/srEdesh4rp+aqHQ4RxbnexbdWq8W0adMwadIkGI1GtUMjIiIiiikswmPU6wdtaOoK4MfLSmHUadQOh4jilNPpxKFDh3Ds2DFoNBpMnToVkydPZvFNREREdINYhMegjy904b3T7fjX6bkoSecXYSKKPJvNhoMHD+L06dMwGAyYMmUKJk2aBJPJpHZoRERERDGNRXiMafcE8eLeRkwrSMKdI9PVDoeI4oiiKDh37hwOHTqE+vp6pKamYs6cORg7dixvN0ZEREQUISzCY4gQAj/b2whIwKO35bMXYiKKCJfLhcrKSlRWVsLpdCI3Nxd33nknhg8fDo2Gl7sQERERRRKL8Bjy7ql2HGhw4dvzipBuYuqI6MYpioK6ujocO3YMZ8+ehVarxahRozBhwgTk5rKzRyIiIqLBwkouRtR2+PD/Dtlw16h0TCtMVjscIopBQgg4HA5UVVXh1KlTcLlcyMrKwpw5czBmzBh2tkZEREQ0BFiEx4CArOC/djUgJ0mPz0/OUTscIooxnZ2dOHXqFKqqqtDa2gqz2YxRo0Zh9OjRyM3N5aUtREREREOIRXgM+M1hB+o6fHhhKW9HRkTXJoRAa2srzp49i+rqathsNuh0OpSXl2P27NkoLi6GVqtVO0wiIiKihMQiPModbnLhrROt+PzkbJRn8tZARNQ/RVHQ1NSEmpoaVFdXo729HXq9HqWlpZg8eTLKysrYwzkRERFRFGARHsWcPhk/3d2IW3ItuG9sptrhEFGU6ezsRG1tLc6fP4+6ujr4/X6YzWaUl5fjjjvuQHFxMXQ6HuaJiIiIogm/nUUpIQR+/lETfLKCr87Kh4bXbBIlPJfLhfr6ejQ0NKCurg5tbW2QJAl5eXmYPHkySkpKkJuby9uKEREREUUxFuFR6sNzndhd68Q3ZhfAatGrHQ4RDTEhBDo6OtDQ0ICGhgbU19ejo6MDAJCWloaioiLcdtttKC4uZq/mRERERDGERXgUcrgDePnjZswpTcXtw1LVDoeIhoDb7UZzczOam5ths9nQ3NwMj8cDALBarRg2bBgKCgpQWFiIpKQklaMlIiIiohvFIjzKCCHw4t4mGHUa/Ou0XLXDIaIIUxQFnZ2dcDgcaGlpgcPhQHNzM7q6ugAAJpMJubm5mDBhAnJzc5Gfnw+TiZ0yEhEREcULFuFR5v3T7fik0YXvzC9CspG3ECKKVYqiwOl0or29HS0tLeGhtbUVwWAQQKjgtlqtGD16NHJycpCbm4uUlBTet5uIiIgojrEIjyKNTj9eP2jD0hHpmFKQrHY4RHQNQgh0dXWhvb39sqGjowOKogAAdDodMjMzYbVaMWrUKFitVmRlZcFisbDgJiIiIkowLMKjhKwI/HRPIzLMOnxhSo7a4RARgGAwCKfTednQ2dkJp9OJrq6ucKEtSRJSUlKQkZGBkpISpKenIy0tDenp6UhNTWWP5UREREQEgEV41Hi7qhVVdg+eX1wCs55f1okGixACPp8PLpcLbrc7/Nh7vOfR6/X2eW5SUhJSUlKQkpISbjqempoaLrS1Wl5CQkRERERXF9EifMuWLfjb3/6G+vp6fP7zn8eyZcuuuO7p06fx8ssvw+/3IysrC48++igyMjIAAI2NjVi3bh2cTicsFgtWr16NoqKiSIYaVc63e/Hbww7cNzYT43MsaodDFBOEEAgEAvD7/fD5fPB4PKivr4fH44HX671s6Jnv8/nCZ6976PV6JCUlwWKxICkpCZmZmbBYLEhOTg4X3cnJySyyiYiIiOimRbQILy8vx2OPPYa33nrrqusJIfCzn/0MX/rSlzB+/Hj85S9/wa9+9St87WtfAwC8/PLLWLRoEebNm4e9e/di/fr1eP755yMZatQIyAp+sqsBBSl6/MNEq9rhEA0KRVEQDAbDQyAQ6DMuy3J4nt/vH/BwJUajESaTCSaTCWazGampqcjJyQnPs1gs4SEpKQl6vX4I3w0iIiIiSmQRLcJLS0sB4JodDVVXV0Ov12P8+PEAgMWLF2PlypUIBoNwuVyoqanB008/DQCYMWMGXnvtNdhsNuTkxN+10q/tOYfz7T68sKwUBi2bodPACCEghICiKJc9XmvepeOyLEOW5T7jvYdL519rvUuL7GAwCFmWB/y3GQyGfofk5OQrLjOZTCguLobT6YTBYOD110REREQUtVS5JtzhcCA7Ozs8bTabYTab0d7ejs7OTmRkZISbfUqSBKvVCofDccUiPBAIIBAIhKclSYLZbA6PR6u9ldX4+57TWJ6fhM7zHhw6f/k6QogbmtffOje7zWiP4Xq32VPIXmsaCBWGXq93wM+5kelL512roB5MWq0WGo0GWq02PFw63Xu+0WgMT+t0Ouj1euh0uuse12q1N7TPSpKE7OxsyLI86O8N3bie3EbzcZmYp1jBPEU/5ig2ME+xId7ydF1F+Jo1a1BfX9/vsrVr18JqvfHm1L2/OF/vm7thwwa88cYb4emysjKsXbu2T6EfjY689QHKPdXw12rwUd3lf3N/78PV/gEjOe96nxdt8VwrRkmSLht6z+85k9ozLcsyDAbDZetrNJp+nz+Q4Wqvp9FowtvuKXT7m47E0FP89jzeaCEcDfLy8tQOgQaAeYoNzFNsYJ6iH3MUG5in2BAvebquIvy5556LyItarVbY7fbwdE+HSenp6dDr9WhpaYEsy9BqtRBCwOFwXLXAX7FiBZYvXx6e7ikg7HY7gsFgRGIeDKs+tRDJGQ/B1d7Cs3dRTJIk5OXloampKS7yJIQINyEHAJ/Pp3JENy/echSvmKfYwDzFBuYp+jFHsYF5ig2xkiedTjegE8GqNEcvLy9HIBBAZWUlxo8fj82bN2P69OnQ6XRIS0tDWVkZduzYgXnz5mHfvn3Iycm56vXger3+ih0rRXOSJElCikmPrl5NkSl6CeYp6jFHsYF5ig3MU2xgnqIfcxQbmKfYEC95imgRvn37dvzud7+Dy+XC/v378dZbb+HJJ59EWVkZNm3ahLa2Njz00EPQaDR49NFH8corr8Dv9yMzMxOPPvpoeDurVq3CunXrsGHDBpjNZqxevTqSYRIRERERERGpIqJF+Jw5czBnzpx+ly1ZsqTP9KhRo/DCCy/0u25BQUHc3pKMiIiIiIiIEhfv40NEREREREQ0RFiEExEREREREQ0RFuFEREREREREQ4RFOBEREREREdEQYRFORERERERENERYhBMRERERERENERbhREREREREREOERTgRERERERHREGERTkRERERERDREWIQTERERERERDREW4URERERERERDhEU4ERERERER0RBhEU5EREREREQ0RFiEExEREREREQ0RFuFEREREREREQ0SndgCDSaeLjT8vVuJMdMxT9GOOYgPzFBuYp9jAPEU/5ig2ME+xIdrzNND4JCGEGORYiIiIiIiIiAhsjq4qj8eDJ598Eh6PR+1Q6CqYp+jHHMUG5ik2ME+xgXmKfsxRbGCeYkO85YlFuIqEEKipqQEbI0Q35in6MUexgXmKDcxTbGCeoh9zFBuYp9gQb3liEU5EREREREQ0RFiEExEREREREQ0RFuEq0uv1+PSnPw29Xq92KHQVzFP0Y45iA/MUG5in2MA8RT/mKDYwT7Eh3vLE3tGJiIiIiIiIhgjPhBMRERERERENERbhREREREREREOERTgRERERERHRENGpHUC827JlC/72t7+hvr4en//857Fs2bIrrnv69Gm8/PLL8Pv9yMrKwqOPPoqMjAwAQGNjI9atWwen0wmLxYLVq1ejqKhoqP6MuOfz+bB+/XpUV1dDo9Hg4YcfxowZMy5b78KFC/jpT38anna73XC73Xj99dcBAKtXr4Zerw93GrFixQrMmjVraP6IBDDQPAHAZz7zGZSUlECSJADAF7/4RYwdOxYA96fBNNActba2Yv369bDZbNDr9SgoKMCqVauQnJwMgPvSYBjo//2WLVvw1ltvQQiBiooKrFy5ElqtFgBw4MAB/PrXv4Ysyxg2bBi+8pWvwGQyDfWfEtcGkqdjx47hd7/7HTweDzQaDaZNm4bPfvazkCQJNpsN//7v/47i4uLw+v/xH/+BvLy8of5T4tpA8lRZWYnvf//7yM/PD897/vnnYTAYAHB/GmwDydGHH36Iv/71r+Hp1tZWjB07Fl//+te5Lw2BX/7ylzhw4ADsdjt+9KMfoaSkpN/14vJzSdCgqqmpEXV1deLFF18U77333hXXUxRFfOUrXxHHjh0TQgjx9ttvi5/85Cfh5c8884zYunWrEEKIPXv2iG9+85uDGXbC+dOf/iT++7//WwghRHNzs1i5cqVwOp3XfN6rr74qXnvttfD0v/3bv4nz588PWpyJ7nry9OCDDwqPx9PvMu5Pg2egOWpraxMnTpwIT//P//yPeOmll8LT3JcibyD/983NzWLVqlWira1NKIoifvCDH4hNmzYJIYTweDxi5cqV4sKFC0KI0PHvt7/97ZDFnygGkqezZ8+KpqYmIYQQPp9PPP3002LHjh1CiFAOv/jFLw5ZvIlqIHk6duyYePLJJ/t9PvenwXcjn/WPP/642LNnjxCC+9JQqKysFA6H46qf+fH6ucTm6IOstLQURUVF4bNxV1JdXQ29Xo/x48cDABYvXoyPP/4YwWAQHR0dqKmpwR133AEAmDFjBmw2G2w226DHnyh2796NpUuXAgBycnIwduxY7N+//6rPCQQC2LlzJxYsWDAUIRJuLE+X4v40uAaao/T0dIwZMyY8PXLkSOZgEA30/37v3r2YPn060tPTIUkSFi9ejF27dgEADh06hPLychQWFgIAli5dGl5GkTHQPJWVlSE3NxcAYDAYUFpaiubm5iGPN1FF4nOE+9PgupEcnTlzBh0dHZg2bdpQhZnwxo0bh6ysrKuuE6+fS2yOHiUcDgeys7PD02azGWazGe3t7ejs7ERGRka42YUkSbBarXA4HMjJyVEr5Lhy6fufk5MDh8Nx1efs27cPOTk5KC0t7TP/xRdfhKIoGDlyJB5++GGkpqYORsgJ6Xrz9Mwzz0CWZVRUVOChhx6CyWRCS0sL96dBdCP7kqIo2LhxI6ZPn95nPvelyBno//3V8nfpsuzsbLS2tkJRFGg0/E0/Em7k+NTe3o69e/fiqaeeCs9zu9146qmnoCgKpk+fjvvvv585iqDryVNDQwOefPJJaDQazJs3L/wjJfenwXUj+9KWLVswZ84c6HQXyyPuS+qL188lFuE3ac2aNaivr+932dq1a2G1Wm9426LXLdyvdSadru5aeQL6vse93/sr2bp162VnwZ999llYrVYEg0H8/ve/x7p16/p8MaKri2Sefv7zn8NqtcLr9eKVV17Bb37zG6xcufKybdD1ifS+JITAq6++CovF0qfPDO5LkTfQ//vrPRZSZF3P8cntdmPt2rW47777UF5eDgDIyMjASy+9hLS0NHR1deEnP/kJ3nnnHdx3332DFXJCGkieysrK8NJLL8FisaClpQXf//73kZKSwv4thsj17Es+nw+7d+/Gd7/73fA87kvRIx4/l1iE36TnnnsuItuxWq2w2+3haY/HA6/Xi/T0dOj1erS0tECWZWi1Wggh4HA4bqrATzTXypPVaoXNZgufabPb7ZgyZcoV17fb7Th16hQef/zxy7YDADqdDnfffTe++tWv3mTkiSWSeerJhclkwtKlS/GLX/wCAJCVlcX96SZEel96/fXX0dLSgieeeKLPr9bclyJroP/3PfnrYbfbw+tYrVYcO3asz7LMzMyoP9sQS67n+OTxePC9730PU6dOxfLly8Pz9Xo90tLSAADJycmYP38+du7cycIhggaaJ4vF0uc5t99+O6qqqjBr1izuT4Psej/r9+7di8LCwj4dt3Ffig7x+rkU/REmiPLycgQCAVRWVgIANm/ejOnTp0On0yEtLQ1lZWXYsWMHgIvNoNl0NnJmzpyJjRs3AgBsNhtOnDhx1WuCtm7diunTpyMpKSk8z+v1wuVyhad37dqFsrKywQs6AQ00T11dXfD5fABCTZ13794dzgX3p8F1PfvSL3/5SzQ1NeHrX/96n+Z/3Jcib6D/9zNmzMDHH3+M9vZ2CCGwefPm8Fm7SZMmobq6OtwSYuPGjTyjF2EDzZPX68X3vvc9TJw4EZ/+9Kf7LOvo6EAwGAQQ6rvko48+4v4TYQPNU1tbGxRFARD60eTgwYPhS9i4Pw2u6/2s7691I/el6BCvn0uSiJdz+lFq+/bt+N3vfgeXywWdTgej0Ygnn3wSZWVl2LRpE9ra2vDQQw8BAE6dOoVXXnkFfr8fmZmZePTRR5GZmQkgdE3RunXr0NXVBbPZjNWrV/e5ZQLdHK/Xi/Xr1+Ps2bPQaDT43Oc+h5kzZwLAZXkSQuArX/kKvvzlL6OioiK8jebmZvz4xz+GoigQQiA3Nxef//znWdxF0EDzdOrUKbz88suQJAmyLKOsrAxf+MIXwre/4v40eAaao6qqKqxZswaFhYXhAjwnJwdPPPEE96VBcqX/+5deegnTpk0L/1jy97//HW+//XafW8H05Gj//v34zW9+A1mWUVJSgtWrV/c520c3byB5evPNN/GnP/2pz1m72267Dffffz/27duHP/7xj9BoNOE+Mf7pn/4pfLs/ioyB5On999/Hpk2boNVqIcsyZs6ciQcffDDctJb70+Aa6DGvqakJ3/jGN/CLX/wCZrM5/HzuS4Pv1Vdfxf79+9He3o6UlBSYTCa8+OKLCfG5xCKciIiIiIiIaIiwOToRERERERHREGERTkRERERERDREWIQTERERERERDREW4URERERERERDhEU4ERERERER0RBhEU5EREREREQ0RFiEExEREREREQ0RFuFEREREREREQ4RFOBEREREREdEQYRFORERERERENERYhBMRERERERENkf8fEfRa4jerVzgAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig =plt.figure(figsize=(12,6))\n", "x = np.linspace(-1,1,1000)\n", "plt.plot(x, partial(gaussian_basis_function, **{'mu':0, 'sigma':0.2})(x), linewidth=1, label='Gaussiana')\n", "plt.plot(x, partial(polynomial_basis_function, **{'power':3})(x), linewidth=1, label='Polinomiale')\n", "plt.plot(x, partial(sigmoid_basis_function, **{'mu':0, 'sigma':.1})(x), linewidth=1, label='Sigmoidale')\n", "plt.plot(x, partial(tanh_basis_function, **{'mu':0, 'sigma':.1})(x), linewidth=1, label='Tangente iperbolica')\n", "plt.legend()\n", "plt.title('Esempi di funzioni base')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Dataset considerati\n", "\n", "I dataset considerati negli esempi seguenti sono basati su $n$ osservazioni scalari $x_{i = 1,\\ldots,n}$ raccolti in una matrice (vettore colonna) $\\mathbf{X}$, di dimensione $n \\times 1$. I valori target $\\mathbf{t}$ sono generati da $\\mathbf{X}$ per mezzo di due funzioni `f` e `g` che introducono anche del rumore casuale gaussiano con varianza predefinita e specificata dal parametro `noise_variance`. La funzione `f` sarà utilizzata per generare campioni rumorosi da una linea retta, mentre `g` genererà compioni casuali rumorosi per una sinusoide." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "#valori parametri per la funzione f\n", "f_w0 = -0.3\n", "f_w1 = 0.5\n", "\n", "def f(X, noise_variance):\n", " #Funzione lineare con rumore gaussiano additivo\n", " return f_w0+f_w1*X+noise(X.shape, noise_variance)\n", "\n", "def g(X, noise_variance):\n", " #Funzione sinusoidale con rumore gaussiano additivo\n", " return 0.5+np.sin(2*np.pi*X)+noise(X.shape, noise_variance)\n", "\n", "def noise(size, variance):\n", " return np.random.normal(scale=np.sqrt(variance), size=size)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# calcola griglia di punti per la visualizzazione della funzione f\n", "x = np.linspace(-1, 1, 1000).reshape(-1, 1)\n", "# calcola valori assunti da f nei punti\n", "y1 = f(x, noise_variance=0)\n", "\n", "# estrae un campione di n elementi nel dataset\n", "n = 50\n", "X = np.random.rand(n, 1)*2-1\n", "\n", "# calcola i corrispondenti valori target applicando la funzione f e aggiungendo rumore con precision beta\n", "beta = 250.0\n", "t1 = f(X, noise_variance=1/beta)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot della funzione f e del dataset\n", "fig = plt.figure(figsize=(12,6))\n", "plt.scatter(X, t1, s=20, color=colors[1])\n", "plt.plot(x, y1, linewidth=1, color=colors[3])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "#calcola i valori associati ai punti per mezzo della funzione g\n", "t2 = g(X, noise_variance=1/beta)\n", "y2 = g(x, noise_variance=0)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot della funzione g e del dataset\n", "fig = plt.figure(figsize=(12,6))\n", "plt.scatter(X, t2, s=20, color=colors[1])\n", "plt.plot(x, y2, linewidth=1, color=colors[3])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Funzioni base\n", "\n", "Un modello lineare nell'input $x$ è sufficiente per una predizione effettuata nel primo caso, in cui la funzione `f` è una retta. In questo caso, non è necessario trasformare $x$ per mezzo di una funzione base, il che è equivalente a usare una funziona base identità. Per effettuare predizioni nel caso del dataset sinusoidale sarà conveniente trasformare l'input $x$ ad esempio per mezzo di una funzione base gaussiana o, come vedremo, con funziona base polinomiale. Queste funzioni base non lineari sono necessarie per modellare la relazione non lineare tra elementi $x$ e target corrispondente $t$. La _design matrix_ $\\boldsymbol\\Phi$ viene calcolata dalle osservazioni $\\mathbf{X}$ per mezzo di una funzione base parametrica attraverso la funzione `expand`. Questa funzione inserisce in $\\boldsymbol\\Phi$ anche un vettore colonna costante $\\mathbf{1}$ a rappresentare l'ipotesi $\\phi_0(x) = 1$." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# funzioni base gaussiane \n", "# numero di funzioni base considerate\n", "k = 5\n", "\n", "# medie delle funzioni base, distribuite sull'intervallo considerato\n", "mus = np.linspace(-1, 1, k)\n", "\n", "fig = plt.figure(figsize=(12,6))\n", "plt.scatter(X, np.zeros_like(X), s=20, color=colors[1])\n", "for i, mu in enumerate(mus): \n", " plt.plot(x, partial(gaussian_basis_function, **{'mu':mu, 'sigma':0.1})(x), linewidth=1, color=colors[4+i])\n", " plt.scatter(X, partial(gaussian_basis_function, **{'mu':mu, 'sigma':0.1})(X), s=20, color=colors[4+i])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# funzioni base polinomiali \n", "k = 5\n", "\n", "# grado delle funzioni base\n", "powers = np.arange(k)\n", "\n", "fig = plt.figure(figsize=(12,6))\n", "for i, power in enumerate(powers): \n", " plt.plot(x, partial(polynomial_basis_function, **{'power':power})(x), linewidth=1, color=colors[4+i])\n", " plt.scatter(X, partial(polynomial_basis_function, **{'power':power})(X), s=20, color=colors[4+i])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# funzioni base sigmoidali \n", "k = 5\n", "\n", "# punti centrali delle funzioni base, distribuiti sull'intervallo considerato\n", "mus = np.linspace(-1, 1, k)\n", "\n", "fig = plt.figure(figsize=(12,6))\n", "for i, mu in enumerate(mus): \n", " plt.plot(x, partial(sigmoid_basis_function, **{'mu':mu, 'sigma':0.1})(x), linewidth=1, color=colors[4+i])\n", " plt.scatter(X, partial(sigmoid_basis_function, **{'mu':mu, 'sigma':0.1})(X), s=20, color=colors[4+i])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Minimizzazione del rischio empirico\n", "\n", "In questo approccio, viene definito un insieme $\\mathcal{H}$ di possibili funzioni predittive, selezionando quella che minimizza il rischio empirico\n", "\n", "$$\n", "\\overline{\\mathcal{R}}(h; \\mathbf{X},\\mathbf{t})=\\frac{1}{n}\\sum_{i=1}^nL(h(\\mathbf{x}_i),t_i)\n", "$$\n", "\n", "cioè,\n", "\n", "$$\n", "\\hat{h}=\\underset{h\\in\\mathcal{H}}{\\mathrm{argmin}}\\;\\overline{\\mathcal{R}}(h;\\mathbf{X},\\mathbf{t})\n", "$$\n", "\n", "dove $L(x_1,x_2)$ è una funzione di costo (_loss_) predefinita.\n", "\n", "Nel caso considerato qui, si assume che:\n", "\n", "- l'insieme delle ipotesi $\\mathcal{H}$ è un insieme di funzioni lineari parametriche $\\sum_{j=0}^{m-1}{w_j \\phi_j(\\mathbf{x})}=\\mathbf{\\phi}(\\mathbf{x})\\mathbf{w}$\n", "- la funzione di costo è il _residuo quadratico_ $(h(\\mathbf{x})-t)^2$, il che implica che la minimizzazione del rischio empirico è definita come \n", " \n", "$$\n", "\\overline{\\mathcal{R}}_\\mathbf{\\phi}(\\mathbf{w}; \\mathbf{\\Phi},\\mathbf{t})=\\frac{1}{n}\\sum_{i=1}^n\\left(\\sum_{j=0}^{m-1}{w_j \\phi_j(\\mathbf{x}_i)}-t_i\\right)^2=\\frac{1}{n}\\sum_{i=1}^n\\left(\\mathbf{\\phi}(\\mathbf{x}_i)\\mathbf{w}-t_i\\right)^2=\n", "{1 \\over n} \\lVert \\mathbf{\\Phi} \\mathbf{w} - \\mathbf{t}\\rVert^2\n", "$$\n", "\n", "dove la _design matrix_ $\\boldsymbol\\Phi$ è definita come\n", "$$\n", "\\boldsymbol\\Phi = \n", "\\begin{pmatrix}\n", "\\phi_0(\\mathbf{x}_1) & \\phi_1(\\mathbf{x}_1) & \\cdots & \\phi_{m-1}(\\mathbf{x}_1) \\\\ \n", "\\phi_0(\\mathbf{x}_2) & \\phi_1(\\mathbf{x}_2) & \\cdots & \\phi_{m-1}(\\mathbf{x}_2) \\\\\n", "\\vdots & \\vdots & \\ddots & \\vdots \\\\\n", "\\phi_0(\\mathbf{x}_n) & \\phi_1(\\mathbf{x}_n) & \\cdots & \\phi_{m-1}(\\mathbf{x}_n)\n", "\\end{pmatrix}\n", "$$\n", "\n", "e la minimizzazione è eseguita nello spazio $\\mathbb{R}^m$ dei parametri\n", "$$\n", "\\hat{\\mathbf{w}}=\\underset{\\mathbf{w}\\in\\mathbb{R}^m}{\\mathrm{argmin}}\\;\\overline{\\mathcal{R}}_\\mathbf{\\phi}(\\mathbf{w};\\mathbf{X},\\mathbf{t})\n", "$$\n", "\n", "La funzione predittiva risultante è quindi $\\hat{h}(\\mathbf{x})=\\boldsymbol\\phi(\\mathbf{x})\\hat{\\mathbf{w}}$.\n", "\n", "Nelle ipotesi poste, il rischio empirico ha un solo minimo locale, che è anche globale, corrispondente al valore dei parametri\n", "$$\n", "\\hat{\\mathbf{w}}=(\\boldsymbol\\Phi^{T}\\boldsymbol\\Phi)^{-1}\\boldsymbol\\Phi^{T}\\mathbf{t}\n", "$$" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# minimizzazione del rischio empirico\n", "def erm(X, t, args):\n", " Phi = expand(X, **args)\n", " return np.linalg.inv(Phi.T@Phi)@(Phi.T)@t" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "# funzione predittiva\n", "def predict(x, w, args):\n", " y = expand(x, **args)@w\n", " if np.isscalar(x):\n", " return y.item()\n", " else:\n", " return y" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# caso funzione f lineare\n", "args = {}\n", "\n", "# calcola parametri che minimizzano il rischio empirico\n", "w_star = erm(X, t1, args)\n", "\n", "# visualizza funzione corretta f e valori predetti\n", "fig = plt.figure(figsize=(12,6))\n", "plt.scatter(X, t1, s=20, color=colors[1])\n", "plt.plot(x, predict(x,w_star, args), linewidth=1, color=colors[6], label='Predizioni')\n", "plt.plot(x, y1, linewidth=1, color=colors[2], linestyle='dashed', label='Funzione reale')\n", "plt.legend()\n", "plt.title('Predizione per ERM')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "# caso funzione g sinusoidale\n", "# numero di funzioni base\n", "k = 10\n", "\n", "# medie delle funzioni base gaussiane\n", "mus = np.linspace(-1, 1, k)\n" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "args = {'bf': sigmoid_basis_function, 'bf_args_list':[{'mu':mu} for mu in mus]}\n", "\n", "# minimizza il rischio empirico dopo applicazione delle funzioni base\n", "w_star = erm(X, t2, args)\n", "\n", "fig = plt.figure(figsize=(12,6))\n", "plt.scatter(X, t2, s=20, color=colors[1])\n", "plt.plot(x, predict(x,w_star, args), linewidth=1, color=colors[6], label='Predizioni')\n", "plt.plot(x, y2, linewidth=1, color=colors[2], linestyle='dashed', label='Funzioni base')\n", "plt.legend()\n", "plt.title('Predizione per ERM')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Metodi probabilistici\n", "\n", "In questo approccio viene considerata una famiglia di modelli probabilistici da cui derivare la `distribuzione congiunta' $p(\\mathbf{x}, t|\\mathbf{w})$. A partire da questa distribuzione, viene derivata la distribuzione condizionata $p(t|\\mathbf{x}, \\mathbf{X}, \\mathbf{t})$ del target dato l'elemento (e il dataset), utilizzata per le predizioni.\n", "\n", "Dato che $p(\\mathbf{x}, t|\\mathbf{w})=p(t|\\mathbf{x},\\mathbf{w})p(\\mathbf{x}|\\mathbf{w})$ e dato che, inoltre, $p(\\mathbf{x}|\\mathbf{w})$ è in generale assunta uniforme, e quindi indipendente da $\\mathbf{w}$, è possibile considerare la sola distribuzione condizionata \n", "$p(t|\\mathbf{x},\\mathbf{w})$ e il modello probabilistico parametrico può essere definito rispetto a questa distribuzione.\n", "\n", "Una prima idea generale, qui, consiste nel calcolare un valore $\\hat{\\mathbf{w}}_{ML}$ che massimizza, al variare di $\\mathbf{w}$, la probabilità dei dati disponibili $\\mathbf{X}, \\mathbf{t}$. Questa probabilità, assumendo che gli elementi siano indipendenti e uniformemente distribuiti, e che il target associato a un elemento sia indipendente da tutti gli altri elementi e dai relativi target, risulta\n", "\n", "$$\n", "\\hat{\\mathbf{w}}_{ML} = \\underset{\\mathbf{w}\\in\\mathbb{R}^m}{\\mathrm{argmax}}\\; p(\\mathbf{X}, \\mathbf{t}|\\mathbf{w})= \\underset{\\mathbf{w}\\in\\mathbb{R}^m}{\\mathrm{argmax}}\\; \\prod_{i=1}^np(\\mathbf{x}_i, t_i|\\mathbf{w})=\\underset{\\mathbf{w}\\in\\mathbb{R}^m}{\\mathrm{argmax}}\\; \\prod_{i=1}^np(t_i|\\mathbf{x}_i,\\mathbf{w})p(\\mathbf{x}_i|\\mathbf{w}) = \\underset{\\mathbf{w}\\in\\mathbb{R}^m}{\\mathrm{argmax}}\\; \\prod_{i=1}^np(t_i|\\mathbf{x}_i,\\mathbf{w})\n", "$$\n", "\n", "La distribuzione predittiva è allora $p(t|\\mathbf{x}, \\mathbf{X}, \\mathbf{t})=p(t|\\mathbf{x}, \\hat{\\mathbf{w}}_{ML})$.\n", "\n", "Si noti che, in generale, \n", "$$\n", "p(t|\\mathbf{x}, \\mathbf{X}, \\mathbf{t}) = \\int p(t, \\mathbf{w}|\\mathbf{x}, \\mathbf{X}, \\mathbf{t})d\\mathbf{w}= \\int p(t|\\mathbf{x}, \\mathbf{w}, \\mathbf{X}, \\mathbf{t})p(\\mathbf{w}|\\mathbf{x}, \\mathbf{X}, \\mathbf{t})d\\mathbf{w}= \\int p(t|\\mathbf{x}, \\mathbf{w})p(\\mathbf{w}|\\mathbf{X}, \\mathbf{t})d\\mathbf{w}\n", "$$\n", "Come mostrato dal graphical model in figura, assumiamo che\n", "$t$ sia indipendente da $\\mathbf{X}$ e $\\mathbf{t}$ se $\\mathbf{w}$ e $\\mathbf{x}$ sono dati, e che $\\mathbf{w}$ sia indipendente da $\\mathbf{x}$.\n", "\n", "\n", "\n", "Selezionare un solo specifico valore di $\\mathbf{w}$, come ad esempio $\\hat{\\mathbf{w}}$ comporta che\n", "$$\n", "p(t|\\mathbf{x}, \\mathbf{X}, \\mathbf{t}) = \\int p(t|\\mathbf{x}, \\mathbf{w})p(\\mathbf{w}|\\mathbf{X}, \\mathbf{t})d\\mathbf{w} \\approx \\int p(t|\\mathbf{x}, \\hat{\\mathbf{w}})p(\\mathbf{w}|\\mathbf{X}, \\mathbf{t})d\\mathbf{w}= p(t|\\mathbf{x}, \\hat{\\mathbf{w}}) \\int p(\\mathbf{w}|\\mathbf{X}, \\mathbf{t})d\\mathbf{w} = p(t|\\mathbf{x}, \\hat{\\mathbf{w}})\n", "$$\n", "\n", "Il modello probabilistico considerato qui assume che il target $t$ relativo a un elemento $\\mathbf{x}$ risulti dall'applicazione di una funzione deterministica $h(\\mathbf{x}, \\mathbf{w})$ al cui risultato è aggiunto un rumore casuale $\\epsilon$. \n", "\n", "$$\n", "t = h(\\mathbf{x}, \\mathbf{w}) + \\epsilon\n", "$$\n", "\n", "Facciamo l'ipotesi che il rumore sia distribuito in modo normale, e quindi secondo una gaussiana, con media nulla e precisione (inverso della varianza) predefinita $\\beta$. Il modello probabilistico risultante, cioè la distribuzione condizionata di $t$ dato $\\mathbf{x}$ potrà quindi essere scritta come\n", "\n", "$$\n", "p(t \\lvert \\mathbf{x}, \\mathbf{w}, \\beta) = \n", "\\mathcal{N}(t \\lvert h(\\mathbf{x}, \\mathbf{w}), \\beta^{-1}) =\n", "\\sqrt{\\beta \\over {2 \\pi}} \\exp\\left(-{\\beta \\over 2} (t - h(\\mathbf{x}, \\mathbf{w}))^2 \\right) \n", "$$\n", "\n", "La media di questa distribuzione è la `funzione di regressione` $h(\\mathbf{x}, \\mathbf{w})$. \n", "\n", "## Verosimiglianza\n", "\n", "Considerando il caso generale in cui un insieme di funzioni base $\\boldsymbol\\phi(\\mathbf{x})$ è applicato agli elementi, la probabilità condizionata dei target $\\mathbf{t}$ dati gli elementi $\\mathbf{X}$ è\n", "\n", "$$\n", "p(\\mathbf{t} \\lvert \\mathbf{X}, \\mathbf{w}, \\beta) = \n", "\\prod_{i=1}^{n}{\\mathcal{N}(t_i \\lvert \\boldsymbol\\phi(\\mathbf{x}_i)\\mathbf{w}, \\beta^{-1})} \n", "$$\n", "\n", "Questa è una funzione dei parametri $\\mathbf{w}$ e $\\beta$, denominata `verosimiglianza` (_likelihood_). Il logaritmo della verosimiglianza, o `log-verosimiglianza` (_log-likelihood_) risulta dato da \n", "\n", "$$\n", "\\log p(\\mathbf{t} \\lvert \\mathbf{X}, \\mathbf{w}, \\beta) = \n", "{n \\over 2} \\log \\beta - \n", "{n \\over 2} \\log {2 \\pi} - \n", "\\beta E_D(\\mathbf{w}) \n", "$$\n", "\n", "si noti che, data la monotonicità della funzione logaritmo, la verosimiglianza e la log-verosimiglianza assumono valore massimo per lo stesso valore di $\\mathbf{w}$.\n", "\n", "$E_D(\\mathbf{w})$, derivante dall'esponente della distribuzione normale, è la funzione di errore corrispondente alla somma dei quadrati dei residui su tutti gli elementi del dataset.\n", "\n", "$$\n", "E_D(\\mathbf{w}) = \n", "{1 \\over 2} \\sum_{i=1}^{n}(t_i - \\boldsymbol\\phi(\\mathbf{x}_i)\\mathbf{w})^2 = \n", "{1 \\over 2} \\lVert \\mathbf{t} - \\boldsymbol\\Phi \\mathbf{w} \\rVert^2\n", "$$\n", "\n", "## Massima verosimiglianza\n", "\n", "Massimizzare la log-verosimiglianza rispetto a $\\mathbf{w}$ è chiaramente equivalente a minimizzare il rischio empirico definito prima. La massimizzazione della verosimiglianza può però indurre un overfitting significativo se modelli complessi (ad esempio, nel caso considerato qui, regressioni polinomiali di grado elevato) sono applicati su dataset di dimensione limitata. Un approccio diffuso per la prevenzione (o la limitazione) dell'overfitting è quello di aggiungere un termine di regolarizzazione alla funzione di costo, o alla log-verosimiglianza. Il termine di regolarizzazione viene introdotto in modo naturale come risultato dell'applicazione di metodi bayesiani (in particolare, definendo una distribuzione a priori sui parametri $\\mathbf{w}$, intesi come variabili casuali). \n", "\n", "Inoltre, il modello permette di ottenere una stima dell'incertezza, massimizzando la verosimiglianza rispetto alla precisione $\\beta$, ottenendo \n", "\n", "$$\n", "\\hat{\\beta}^{-1}=\\hat\\sigma^2=\\frac{1}{n}\\sum_{i=1}^n\\left(t_i-h(\\mathbf{x}_i,\\hat{\\mathbf{w}})\\right)^2= \\frac{1}{n}\\sum_{i=1}^n\\left(t_i-\\mathbf{\\phi}(\\mathbf{x})\\hat{\\mathbf{w}}\\right)^2\n", "$$\n", "\n", "Nel caso specifico considerato qui, risulta\n", "\n", "$$\n", "\\mathbf{w}^*_{ML}=\\left(\\Phi^T \\Phi\\right)^{-1} \\Phi^T \\mathbf{t}\n", "$$\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "# massimizzazione della log-verosimiglianza rispetto ai parametri\n", "def mle(X, t, args):\n", " Phi = expand(X, **args)\n", " return np.linalg.inv(Phi.T@Phi)@(Phi.T)@t" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "# massimizzazione della log-verosimiglianza rispetto alla deviazione standard\n", "def std_ml(X, t, w, args):\n", " Phi = expand(X, **args)\n", " y = Phi@w\n", " return np.sqrt(np.mean((t-y)**2))" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "# funzione lineare\n", "# calcolo dei parametri e della deviazione standard di massima verosimiglianza per il dataset considerato\n", "args1 = {}\n", "w_ML = mle(X, t1, args1)\n", "std_ML = std_ml(X, t1, w_ML, args1)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12,6))\n", "plt.scatter(X, t1, s=20, color=colors[1])\n", "pred = predict(x,w_ML, args1)\n", "plt.plot(x, pred, linewidth=1, color=colors[6], label='Predizioni')\n", "plt.plot(x, pred-std_ML, linewidth=.5, color=colors[8])\n", "plt.plot(x, pred+std_ML, linewidth=.5, color=colors[8])\n", "plt.plot(x, y1, linewidth=2, color=colors[2], linestyle='dashed', label='Funzione reale')\n", "plt.fill_between(x.ravel(), (pred-std_ML).ravel(), (pred+std_ML).ravel(), color=colors[8], alpha=.2, label='Incertezza a 1 std')\n", "plt.legend()\n", "plt.title('Predizioni per ML')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "# funzione sinusoidale\n", "# calcolo dei parametri e della deviazione standard di massima verosimiglianza per il dataset considerato, con applicazione di funzioni base\n", "k = 10\n", "mus = np.linspace(-1, 1, k)\n", "args2 = {'bf': gaussian_basis_function, 'bf_args_list':[{'mu':mu} for mu in mus]}\n", "w_ML = mle(X, t2, args2)\n", "std_ML = std_ml(X, t2, w_ML, args2)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "fig = plt.figure(figsize=(12,6))\n", "plt.scatter(X, t2, s=20, color=colors[1])\n", "pred = predict(x,w_ML, args2)\n", "plt.plot(x, pred, linewidth=1, color=colors[6], label='Predizioni')\n", "plt.plot(x, y2, linewidth=2, color=colors[2], linestyle='dashed', label='Funzione reale')\n", "plt.plot(x, pred-std_ML, linewidth=.5, color=colors[8])\n", "plt.plot(x, pred+std_ML, linewidth=.5, color=colors[8])\n", "plt.fill_between(x.T.squeeze(), (pred-std_ML).ravel(), (pred+std_ML).ravel(), color=colors[8], alpha=.2, label='Incertezza a 1 std')\n", "plt.legend()\n", "plt.title('Predizioni per ML')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Approccio Bayesiano\n", "\n", "### Distribuzioni a priori e a posteriori\n", "\n", "Per un trattamento bayesiano della regressione lineare è necessario introdurre una distribuzione di probabilità a priori sui parametri del modello $\\mathbf{w}$. Per semplicità, si farà riferimento a una distribuzione gaussiana isotropica con media nulla:\n", "\n", "$$\n", "p(\\mathbf{w} \\lvert \\alpha) = \\mathcal{N}(\\mathbf{w} \\lvert \\mathbf{0}, \\alpha^{-1}\\mathbf{I}) \n", "$$\n", "\n", "Una gaussiana isotropica ha matrice di covarianza diagonale in cui tutti gli elementi della diagonale hanno la stessa varianza $\\alpha^{-1}$ ($\\alpha$ è la precisione della distribuzione a priori). Una media nulla favorisce valori a priori più piccoli dei parametri. " ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "# visualizza una gaussiana bivariata\n", "def plot_bivariate_gaussian(mean, cov, resolution = 100):\n", " grid_x = grid_y = np.linspace(-1, 1, resolution)\n", " grid_flat = np.dstack(np.meshgrid(grid_x, grid_y)).reshape(-1, 2)\n", " densities = stats.multivariate_normal.pdf(grid_flat, mean=mean.ravel(), cov=cov).reshape(resolution, resolution)\n", " plt.imshow(densities, origin='lower', extent=(-1, 1, -1, 1))\n", " plt.xticks([-1,-.5,0,.5,1])\n", " plt.yticks([-1,-.5,0,.5,1])\n", " plt.xlabel('$w_0$')\n", " plt.ylabel('$w_1$')" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "# calcola i parametri della distribuzione a priori\n", "alpha = 10\n", "cov = 1/alpha*np.eye(2, dtype=int)\n", "mean = np.zeros(2)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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lMyoVEr4ur/oRkvZrGUJ9z8XBUChiAWUEAAAAAFGBMhKVsrwioZexTkWkivTdacoGj0vP0aQykdczYvlCQoeD91BEQtWPrDJf9aOonyTru29ZVp2lZLlC6e5T2YpIlb4QrX6oMhKklvjc45p6UnXvXj6bPhRVP8pM+/VRmWINGT/bygyUEQAAAABEBS8jAAAAAIgKwjS10/RRVqsMz/i0VyQ8o5XxuWmKGlh9za05RlAtGoqxykK3t44ptEwS+henQ+MwzSoRDQK3r2KU1bwG1rLDNGZKsGZuDT15VZBlLndoJlVHaChGI8v4WmW4ZtoxhbTpw2yOzgplBAAAAABRgTICKP9tkKeb61ummUW1ulpZiIG16NwyS0pZDnOqr3qxmGO7vCbVWMqIrON+8wqlO9ZVGljLTt+1trPqbHvu1ysl2GfQtFBkb35aT9xdQKdaasqGPCatzEfZCFEa8p6LKlKgDydQRgAAAAAQFSgjtdF0r0jI9iG+Et80WlmWxx/iylzvq03TPSM1+ELyejekCuK7XdmeE/k5pMxa51vHzdq7klGnrGHgq/SFWGVWHa3jvS2+h7Y5gt+zbkea0icPpognwfV/ZWpvWQrJtDIrJdiR149ikSfdtwylZXbSfaGMAAAAACAqeBkBAAAAQFQQpqmcgzjKqk/9vOEZjZCU3A6lpeD9jDpyv6EjsOYIzywaZUVNqtZ2TQ/TTLu1XZhmlezbJMSsqq2LFaYJNam68+W7Ha8ny0ZYI7eWiXs2XQhVYqX2+qbfyt/gkxLsG8bA6KxVAWUEAAAAAFGBMnIoyauIyO3yzrBrlVkKhbYPTb2YY+v2M+pY28v9OFOf5wy7WQpFGcpIiGpSlgFWfp62XVa9rDoWHSKaTz4fJaLNwO0thUOuq0sZkQZUrQPso5poxxdSRyomRDSZ/ssPcEvbIBCpWlpYxlWHNdsvGWU+JlVL6SiqkAAJlBEAAAAARGUmlJEf/ehH9Oijj9L6+jotLy/TfffdR9dff32qzosvvkgf+9jH6Kd+6qdG6x5++GGan5+XzdVArDTesvedtf+8iojl/ShryHYfz4i1/ZJSFpi2m0cZqaIsVJHJW5ZVRyvTmHaLu0uzQmOVRCOvZyRUachb5pQI2XHW6miqSUhZ0d+bwt3/S1YlT6Rq6UOIQqLV03wolvqRVUfWK0Koh6MstaW5Q8XPxMvIE088QXfccQfdfvvt9PWvf50ee+wxevjhhyfqXX/99fRbv/VbEY4QAAAAAHlp/MvI5cuX6aWXXqLf+I3fICKiW2+9lX7/93+fzp8/TydPnszd7t7eHu3tjd8MW60WLS0t0fJyl9bWFowtfSjztFahjIR0U/MqI3m7zm2x5GhlcxPLtbXh57W1VrLe9ezkUn7OgaWMtEWZplC0c5a55YJR5rN92yjjv0n+ltDLq11OuV0Ga930MhPrUmoBaXnrWGX8+OVtqJ1DS2noG3XmPMrk9vwYtDJ5TK4OP5+mMuKD9Wy55VzyTNLoGbVPtFNOtAn+pKqi1QmZGND374CsF3rT5d1vSJv1tbW8XJ4S3/iXkYsXL9LVV19N7fbwJm21WnTixAm6cOHCxMvIyy+/TA888ADNzc3R7bffTmfOnMls96mnnqInn3xy9P3UqVP0yCOP0NNPf6CaHwJq59y5m2IfAiiRc3g0I6OZW/P9Z3Tu3M2FjwYcLBr/MkI0fAGZxqlTp+jxxx+n5eVlunjxIn3sYx+jtbU1etvb3qbWv+eee+juu++e2MeZM5+j5577q4JHXMZpDWmjbDVkWn1LGQlRVng71tTi0tfRVuqN66yttejcuZvouut+SOvrA2V/moyhlXl4RbSMFalI+KgYWpnW9oJY51Nm7ddX/fBRVLTvsiyHQrLWITr3LqLrvkC07jNeCKcvvvtmzFjqhVzXN8r4djsZZTusjk+ZNhx8VttamdteO26t7Qm44uAqOpVZS//ZGy2Hz+bfoOuu+0HybO5l1OUHKOvIerxuen+TZF107QdbnorQG9FHcgrxcJThXSnexlvfen1pHfjGv4wcP36cLl68SP1+n9rtNg0GA7pw4QKdOHEiVW95eTm1zdvf/nb67ne/m/ky0u12qdud/E91c3OP1td3lC18cO3t5tye42vuIrLlSHeJtWOyTFRam5axS7ZhGcO0/+SldszrzIl1Wpimzb4P662vd5I/eFbcImCOGb7ZQCy1Mvmsa+85bvf8cs+JdVxNdW1bIQK51N7rQoy307bLqqOVZX3PokOj37i+QuT9aGb9n7OgrPMps15G+P+/VkRQvhhpx+qur3uc+LWX9wO/Z9x++mKpHa+PcVYrm9gZkX0hXSowf1jcszmXPJvuBnY/RgvTyOefr9P+dsmTb72U+Lyw+NSZVr/odiHthJLfyLq5WZ4JtvGpvUePHqVTp07RV77yFSIiev755+nkyZMTIZpXX32V9veHN+/W1hb95V/+Jd144411Hy4AAAAAAmm8MkJEdO+999Kjjz5KTz31FC0tLdF9991HRESPP/44nT59mk6fPk3PP/88PfPMM9Rut6nf79Ntt91GP/dzPxf5yEOpwqxa9Bh8Z+3NGurdN74cMrMu34e2HZcduDKyJLbh23koIpaKoJlErTp5ti9jv1K9qCLtlzzKQm5111lepXTmtUWIGl80fZefQ0thkGKhTPXV1nFVQq7z3U4ed9Z37diIxr/PHCTNRyHh9d2zWRZaDz1kll+fIeO17ctUKGINFd8MZuJl5Nprr1VTeT/4wQ+OPr/zne+kd77znXUeFgAAAABKYCZeRppPFQpFUUIMqCEBfKsd37Iy1I+s7bgy0qFh70sqIoZJ1erx51U2LIUjVP0oul9LdfEpi6GMuGDyUQofJ0t+L1MZ0cyeUkWwyrTOtVyXVzUhjzJfD6bbblGpM/rsq5BUpYxoaD8mS33Iq35oCsWsDRXfjEn0Gu8ZAQAAAMDBBi8jAAAAAIgKwjSNoA7jaug2oSGYrN/gG4oJOSYthMPLnBScNYaIYlb1SXX1CYlYZUW3n3ZMWWWhvylv2q/2vZNI8R0hS3ey8lwVWskBHN32V/Z7YkCTXnJQPXbtLUOnlb4rjataGqxm+pShF62OFabxMbDKulqZPB6OPH6tvmmO9U37dSFUH3xCGr5/S0KGILBMsT4hjbzzwMSatyYuUEYAAAAAEBUoI4Wo07jqu6+QS2ql6Pq0Z20fqn74mFS1Mmu7HIpIleqFVsfH3FpUGcmbNqyaWxWlQ6gcc+x7O/ncFspIx1BG2qJsjVpEtEhHj1+mOdab7kv1g9ETZf1EGeHb7E+oJ+y7U1K2k3uGn0NLNZFqh5b266N+WGWWgdUyssq6Vh1f1cQ0xVqm1qJ/pySWimBt7zMzr69JNUSh8Klb9wy7cY2sUEYAAAAAEBUoI1Ep6/SHpPEWwcdHUuXAZtp3ud2SUuaRvps3/TZE9bDqhJb5tJk7NThb/XCqx/zieFz2zkj9mFQ7RspIO13WVnqEnYzx0ldpjoheR6sLG5TK7U2Gb+8pE970xTPR7w/raGqKW8fVlN3tYeP7i8k6X9XE8oxkeUXyKiM+vhCOjyKitSf9I5YSxDHTfn1Gr3M99KJ/w3wGRCvqD5lGVluWIhPKbHtHoIwAAAAAICp4GQEAAABAVBCmCabu0VabNP+MLIs1yqq1HS/LmG/GN9W1rDBN3lBMWcZX03jLZOMkpNJdHM7wzE2nnVF4JiljYRcXcnFhlrYSbmmPyvzDM46VpM+0SuvUMoZgtcI1/XbbHQgrS8IzC+1UXSKi/upwPpXd7flhHRamcWbYvaQsFcLZTu5Hy+wpwzPaNbRCOJbB2CrzCc9oWKq/TyrzCC3tt64Qs0QenLYv7YfLUEgT560pa1917W8IlBEAAAAARAXKSO2UecpDehW++7VUE5/95f19PuqHZpJ19ZwhLnD23Twpulr9osrIasG2tXXqcQ97OnMj9WOsSiwkplRL/VigpIz8lJEsRcRSQ6SyspwoGEfpMnVZWV9RQhxSJRkpJGz9SBkhRRlJlJSdlfnJssQM61STncTsSkTUT87dvlNNttm9mmVg5WqCpZpY6keVaCpPVh1L5UnhnlP33G4pdUKUhdAevDx51jwyWj0f9cM3JVjWL8vIWkZb9QFlBAAAAABRgTLizUHwioTsI2+ZrOPrCyGjzPKFuLIARcTXg+Gjmmhlqx518mwf3GZaBSEap+QuKMrIfDspM9SP/MpIfs/IcnIh1mhD3d5hekZG6oenMpKsmydFGRGqyTw7vy5NeCdRRnaZajKhluT1fvjYuapQVCz1w6rvpZCE+tYcedN/LSUl73Dwdfg66h6YrL79QRkBAAAAQFTwMgIAAACAqCBMUxtNMq4WnX9GayfLgFrFKKueptoO+0dkp7rmNanKkIq1na9JNW+YZjUdlpEhGSKi+QUXZkmHXYiI5ik7TLOQlMmwC9/OCtOMv6dDOukyPVyzlFzvo3SZ5hW5WDOyaqEXWVeGaXZpYaLMmWd3lDIXwtltj8/hTjsJ3STneZedexm6GYVtNhSTa2iYpmgopqzQjRa24XUy96MVWObLskZntdp2WIZQX5NqVkpwlUbWstuqFigjAAAAAIgKlJFGUbdJVqPo/DM+5FVNlpQyZd4Z3kvbI7vXWKXJ1KqTt2zUdjJ/DJsjxg1WJlN0nTGVaKx6SBVEW2epH/NsuyoNrG3q02KiQByly2bd4gbWcXrpbrLP3kgF2Z3YbqSMpM6hWzdUP9oL49/rzMJuALmdZLnH5/RxhteN5L7Oq4xo1PHXnptUNdWRG8U7VGD+Gp+/QXlNl3XPW5OHOAOTVQmUEQAAAABEBcrIVJqgVhCFD5tsDV7m06bPreGTtmv5QkIHNnNLI42XKyPucx3DsvsoG5pnRPOcmKqJ7gshIlpOhjCXKbpO1dDWpZWRRFlJyjT1w0c1CR30LMsrMj7modqwSuvUZcck4apHnkHPNM/Izii1d1I1mU/q68rIbuo70dhbIlOCNzfGCsBuopLsdzz8JJyy/5JXYTHYpslnM/eQ8VX6SXwGMitrqHhL4WjS4GXVK0FQRgAAAAAQFbyMAAAAACAqCNNUziycYt/RVkPmn/ExqWr7KTjKKjfJtWkybCObDhll1UrN9QnB5A3TrI5dgc6kury6SUTjFFKicXhliTaT71aYJh2S0dbNK+bWsgysIam9LhxylC7TLjteh09qb14D65ISwhmHaXZT3/mxqmEasW4rmfunfXT8u3dHoZtlIhLm1o3khvAJ09QRyuG4KMK0kV/d6Xfmckfh0Vl5Y0XNrdaJktvNipG0+Sm+UEYAAAAAEJVZ6LYfAvIarWIZV7W2LdVD1vdRTQIGNpNL3vvqkZ8RtcxBz7IUEa2OWpZO211MVBCiSZPqMuvNS0VjOVFIuIqRVYevkwOcDcv8034tA6tWR9aVdJOTc5Qu057ShdaUkax5Z/IaWLlJdVzmVJCx+rFJy6l18ylFxZ27YR1NZdpcGJpZXRowN7eOfnnHtcmUwjpUD6vMmqOGM021VPflY2C1/u5ojVr1fRSOECMr3581629ek2jsNONygDICAAAAgKhAGVEpa1CvMqjyEoUOcOaTtmvVsdqW++AoA5vJzzJlkH/WBl8i8Vmbtbdo2q/lGZlQRgajorlECRn5QtiQ4svt4TrpCyGaVEIsZWQpUVTK9IyEzug7riOHjE9/7yaDX11Fl2mPKUFSEQlRSHiZlb4b7hkZrttKjpmfJ1fP/T75ffh5eL6cn4TfM52RWpKk/yYKy7DQ8FNloXXqfdbx75YiIn0kPs+muh/tt7kNrDRezchSFnUPhFaW56NounB1HhkoIwAAAACICpSRqJTpFZlGrHGiLe+HNeiZh0+ESFco3OcF0j0jVQwHr6keskxVRtKDmBGNFZGllWFPPe3rSHtFNM+HW6cpI3J7TRkJHSpeekx8M23GdfTJ9BydpP2jdIl67Pdak+DJdZoy4pQJazI8zTOy46GMuN9gKSPOX5JWRpjaQUTt9rhscyVdtsk+jwZJq2KQRksZsepqqskCK9Pa4ZagiXLfwc+kL2Na/SJYSkNeFeJwekegjAAAAAAgKngZAQAAAEBUEKaZYFLqjUPIpbFMohohxlUfk6q2zse4Gjj/jDVomY9JTgu3hAx65pvamxWeSYVp0uGZZZa+K8MzPBSzNFqXpPiyMIsM3ejpuzuZ2y8YxldpUtVMsXKAM2278frsuWlkmKadyM5H6TL16cpovRWmkSGbsUl10sAqU3WJuEk129zqwiw7RpiGh3dkWGYcrhmn78pU6C0t3XllcpW7wvujNR7hGt9wi0+Yxkrx5T7SaQZW7dlWjawh89bw72X/lxdqZM1K8SXyC+U0afCyLpX5/yWUEQAAAABEBcpIqTTxdMY2rvqOS+0x5LuvMtJmnztUfGCz0KHisxSR1XFPSSoiTg0hmlRElpiyIdUPq0xTRqyh4qWpVTO+atvJdF+f1F6tjkaH+jSXlF9Fl2mXKRQSS/VYouzU3nEa7/g8uVTesYE1O7WXKxu74vxsMUNqVkov//2qEpKFl0JCFGRq7Yml/Kx9n7ZukX13pz9kqgb19pBDxWvqR51GVr4f34HQYtOsY4IyAgAAAICoNLErf8Cpcuj3vO1rk+H51Lf8JFbbWt3AId+zymRqb58mFREttddSTSxfiJeiMhzQzErfXaP1cdmEMmKpJpNlVvqvVEa01GCf1F7LM6KpJlkT5vF1Gh3qUyspHw4Hv5lZN+0ZSQ//LlN8icZqh+4ZSU9qZ6X28vRo5wtx23Vo0hvjlBRNJbIUJKtMqiSptN9ecnP3EjXBUj+0Mom23aJSJtctUjq1t09pPwlfauvMoeJ91Y+QgdCsk6D9nQxJqdV8JfKH5h1gbFYm70sDZQQAAAAAUcHLCAAAAACigjBNo4g1D42Glb7rsx8f4ypvO8C4ao2gqqUPWqGYkNReH5Nqal0SnhFzzRDZ6bsyBFO0zArTcNOmldprGVjlqKyhYZpR3b5h3mwTrfbXiVg4y9FrayOv5gnTzE+UWQZWLbV3fA6ywzRuGWRWncIoRGWaWp2ZNsc8NkR+4Z1FpUwzsMpnU25D5BmmkUZWXlEaWfk6bYcS6++dj+mzynBJ0TlmmgeUEQAAAABEBcpIKTRJ0XD4pPQWbdtSTbSBzaRq4jn/jGZSzSrjqb2LNMxx9DGwFk3tVcsSI6lH+m5avchWNlYTZcAyp8oyre3x7L2TqcGWgdXV4cqGNLWmynaSdb39ZDlc31FEgVZWB6+1R3QN0ZGf7BENJnuYg87kul5yD/Q7bjnsd+0sjFUMN5CZHOCMlzmzqWVg5am94zTnhdR3omx1SBsAzkp31piYl0dRSDbcSeklN6ivgTVvmWZgdeuyUns1ZUX7c2HOW+OjfvgYWfPODWPtN2867SzMCFwMKCMAAAAAiAqUkdooczZNy3uRZ7++w7r77EceW8EBzvjn0NTeOgc9S83oO5x6dDFRROYXJ9No5aBlVvruairtN6168JTgLGXEZ2C09Lq0CsLXqZ4RoX4sjIvGaodbZ3VSsywUc0R0DRG9SnI0r+E++CB3CSNdzq1bGG643BlPC7uT2EA01cR5RNzv5J4RqZakZzB2aokb+n0yhVmqH50SvCM9qYww+ovDMnc/js5Aj920VSgjlmfEqZYhqb2mMsL/lsiB0PiGWQOhaTdm6N9sS7XIUjY0X0mZSsXszOQLZQQAAAAAUcHLCAAAAACigjBNI6jjMlSxD6tNa8TYgNFW+WfNgKqVjaR50g2slcxNM5ZBu6N5Z5KQSDsd/iDKDqnwz9KsystceEYLwayNtssXppHpv/zYXUhmfpvND+t+lluOIyHj0Isl58s6EheB+AnpoZyOqMfXiWWL1VkcjdQ7/C3zC+MD302u4fzC5Aisct4ZHqax5p2Rac5lIg2sPGyz7FKfk5TzfjIi694q26bXdRuml9q6vGV8BFYZQtUiKlZZ0KisPESRFbbQQjlFqSv9thkG1KJAGQEAAABAVKCMFKKJpy9kYLKi5lZtv9LIqqX2ljAzr1U2bdAz37Z9lJHV7Hln5tvp9Nm0wjE9/VZTTaQismaYW8d1Nlid9P5MZWSHlV0ZqgctJx4wk+qEItJTyqRJNWRWWHdNfiLKLK+0VEu4Wua4kiyTa9llZV1neF0c/qjNFaaMLKQHNLOVkekqSHga7+QzLpURrY4bHG45UUTWe+Nt9leT+nL+Gv7ZLbny5fNsWoOehT7bsix4Rl8SZQ5NPdEIma/GUliaqGbEPSYoIwAAAACIShO79geMsmbptVJki+5XS98NUVisdZ63WNEeEu+Fybh0Xs+I13bDrv/84lgqmF9wqbxugDFthty0amKl9mrpu2uKn2TSKzJdWeG+kOV+st3GsEfXvUJjLF+IXMdVk6zUXq3zpYkIPRrfUq8S0UCpo2W1yvtiQXzn63bEd6LR9W0lZSvMIzO/MvyhndVE/WiPD3xHKCMaRb0jEwOc0dgj4pbLqRmM3ZD4w/uhvzA8Cfye3XYqiTPSaMqIu77awGQ+nhHNz5U3tVeuMzvzmh9Eeke04eSntSUJGSJeU01kmeY5yZuq2/wUXygjAAAAAIgKXkYAAAAAEBWEaaIyaym9VghHhmcsk6tRlNdkqhlYF2go61sG1tyjrCahDJHGO9ztTmqpm0WzTaqTo7NqqbnpNF6+XdD8NTusbWdSdeEZHqbZFut2lDJtlNWs8AyPUFihGyIaTRnzGhE7hWO06yqNq5qBVa7j19etW5ks6ybH3ukP74H2yvgatBeWKYuQeWdUA6qYgThd35V1JrZ319/VcSbbPkvtnUj37bHnVxtJVZZZ5la+3bQQqjVrb3CYxkrtlWEPyxldhqGzDnNoE02x/kAZAQAAAEBUoIwcCELNpiEpvVbbWplcx/clUnqLpO9aZVnpg5ZJVdbR6rMyl8q74Ays7ckBzebFbLaa+iHngxluL1WTbJOqNaOvrMuPbflKMn8OVz+kIpJXGdEMrK6OT2qv9HW63vSrom0pEFipvdqAeQtiuaOUSQMuW+fm3Vnpjc2t7ZWNZDk574yPYVVTPcZladUjNbCZUE36ioHV3YfuHnCpvkREC4uJWpIYWfcXPZURd12158cysJaV2quVjY5PpvjKgyHSzaLWgGgTO1HQ/r5mGUfVAz+UQBkBAAAAQFSgjART5SnzTcctO6VXG9gsdP9ZKb2B5ytvD4n3fLlfQOt9WeqH5UdZHPdu5kcpvYlCwswMMpVXUzEmVZPs1F7/2X6nDwe/dnnYle1q6kdeZcRK7c1SREKGg3cqxWXRtkOqIHydW4oBzlLtunWByoj2WxaTz+1e8sOPKscr4P4OOfuupnDo6keSrquocFnb8SHu3fD3vUQZ2V4cz2BM28mz7c4T94VItcRSTfiz2E4++wz5bj33XmgbZqX48nVNSfG1tp9WLw9x1BooIwAAAACICpSRSsg70JlG7EtkqSaWQuJxDqyeTt7Y8SKNe1uy5+sz0Z6hmvAh3xfcRGqJV4R7PtxnqX5oQ69b6oembMgh3n22c2oIEVNEXkuWG+z3WsrIjljnO+hZVjaNrzLSo/F1kMPBO3yUEbfU1A9j0LPRsXkqI66+u/vX+IkSKommcEh63spIdtnkfejuz7H6Md9OPCOLiWrC7vWRf0R6R/g6qYLwevw8yWcy76BnWXV4mypS9ZBZNdpBkVJWN2VlylSpqBQDyggAAAAAooKXEQAAAABEJXYM4BBS1ykvup+iKb0OZYbeMtP4pqX29qdsP2FSVdpOjKva/DPOrKoZWOXgZ1ooRxvYTJpTrdl+tXlrZHgmNceMDM+8xsrcurxhGmvemqw5auRn7bs7ta8RsVPhF9qTc9JooRgtTCOPk5dZA7gJuCg+CtkcdZtbabzpQcz4ZzkPDf/s5sbhIZiF5PPuxJIZWJPP6rw1zswqjaxEk/PVTJvRt47U3omIhjFL+IShNWudT5kPZYVbfPZR9X7KBcoIAAAAAKICZWSmCUnD1Yyo2sBmIWnD1pDvHsdm9XSsJosqI9bMvIpqMh7gbNyTdEN6z6uqR9owaCkcPsqKr7l1pJpcEYqIpn6EGljlOmvQs6LKiFQaXPk6Efu5foOeWcqIVEQWlTK37xUqjHtaljvDE9RfmbzZLSOqj7Lh7gFNUdlJfqg0sg4/zyd1hkt+rzsz68jIqqX2ajP6Wqm9eZQRMsq8/yeTG2iz9sp1mrqQN0nBUlTqUE2aC5QRAAAAAEQFykgjCBmePe/2efG9RQKOwceOovWQtO9aD4kPesaVEa+BzXhZMhFap59aEk0qGmllI61oSO8I0aSiog3ZLoeV55/nlf26Se8WpYrB1Q+piFh+Ek0Zkd4RouLKSJYSIr+/JvYr7wsttTdEGeFqj1NCtPRdD6+ISnJ8i8mx9DvJBHYLXP3ITgcfDeOuqCbSK7LAPCNOSXH3mFRY+H5Hy874RLn7ft8N+seHirc8I3IdV0LaNF0ZIaPM52+Il8AQOsBZ2emwVqqtbxquzyBpzQfKCAAAAACigpcRAAAAAEQFYRpv6j5VsS9N3rCQK/NI6S0zjU8zycn5L6zt1dFZh/K0NjOvDLNYoRRNcl8QhkOrzDKwLvdZ2ZVk9ljLiCpDML6pvZaBdUOs00YrzRqJlX/Wwh49tv41SocBHDwsR+KzFYqRZXz/ZRlXjVFhlzvD6+XCNURE/fb0UVZ3kwPmBlZ3r2hlPvejHJXVjchKNJ7Rd287Wddhz78WipG/l9fJCqFW+TchFYGRM/la5tTQsjqo2+Ra3/6gjAAAAAAgKrG73weMKo2kvhS9pD7OsLL2Fdh0ntTefaWOlto7KhuMirpu/hljZl6Zhss/W4OeSXOrVqalDUtz69LG2LTWylJELIUjb2qvZWC10n7zzNrrOrNXxPE6uBIm10njqjaviqbM5FVEfNKNk2UrWS61x9ewdzRtUt1hJtN5YUTlZQseZbsjc+tO6jv/LI2sROPUXvc87C0yF/B2K/3bQlJ7fZWRrO9Z63KhmVRl+q9Wv8mDn02jWcZXKCMAAAAAiAqUkdoo81T7tOWj0rh2Qv0hOQc7C0nj890ujzJibj/uqbSTz+12ktrLus7us1tqnhFZtmDE8bUy6R3h6xZ2kt6qj3rhq3DIdZeVMiu1V/OTZHhGBqxD2EtO616yric7i/tER4jotdeI2Oj31EmuWTdZdpgq0ZLXVR4H0VgtcSpIlmeFL6dh9eYz7sMuO2432NjuwuS1l34Qfs/IlGCtTN6P/J6V93PqXnf3f/I87LFnZOQfyfNshnpGSCnTvpuekaxKXB2QioE2o6+syymahlumatIEBcYPKCMAAAAAiApeRgAAAAAQFYRpDjyh88/kaTsnvma10DANTx+cFqaZSPsdy9MdN/JqInG2mdQpjae8bDLtd9KIas9tk73daMRWl8armUXlUktnzRvCCQzTDJIyF4rZSr7vKWEahxSwW/PDMM36DtGAtd3dSdfjYRoXullKrm8yHQy1NAOrwwrTpHakrJNlbqldn4WMJY2v685COtV2+Fmk3ypzy7RpKbNMbu/q8jJndt1kZe5edc8Df0ZGYZrQWXt9RmANCesW/p/MCsUUaUvSDLNoE4EyAgAAAICoQBkBGWi3RsH5cUJ6OHnvzLwG1iSld471+mRK74Ji+OskS14m12l17Llt0ubFVFliXG1pqkceA6u1vaWobGSX7bHtpBKy5cyqbHPZD5V9R9djWqfh5XTIO4532LvCFDtSSnidrDlwNPg9c8WjTLvX5OBsSjqsu67uOjsjK9HkwGaaSdWt46m5W+L+k9/5urZSNkr3TZ4H/ozsu1R4meKr/U7t2Qwh1Nzq9TckdICzoim9IAsoIwAAAACICpSRqDRxtt6ibYph4H3i677rQtMHg+LSiYdjkfk62ka6o0iT5GVZqb1aHX04+bQPJRX/3xZeEW2GXLnkdaSiwnv5Pn6SDaUs2c4pIltsf1vJOjfguetjjhNWJ/uYso/qBIUNSts65K3C71zneNhLNlg2ZtgdbRdqFXAHoM0kLP0h/LN1fZI67jrPL3CfUdoPog/nXux+tO519zzwZ2RbDhFfpp8rb2qvVXd0jZXpKoKoYlh4K+3XJyW4WYOYhQJlBAAAAABRwcsIAAAAAKKCME2jiHU5yoillLQ7rU4RKXcwpa5I6e10uDzdU5dEdihFrnPftflrxuZWXibMrTtjOb6bFYohyk7p1Yyosi7ROASjlRltbiZhChee2WIhkS2xdAIyF7e1dbzMKfuvkd570saYlGNnujJurnXm1qVkuaw1ykN+JD7LJdFkuq517o067jrza7+wkDan8ntmKwnhyPmQiMZpuuP7cTL9V65rK6m9Eym+RGPXsBWm4d+zwit5U3s1Cv8ZlSZV3qAMgVhlVaLGnmYaKCMAAAAAiAqUkQNBExSVjGPwqJIqK5LS65YhvS9Bmw96JtJ3O5SvbEExDFpmwomyHsuBtJSNLGOkj8lVW2ekBGvpu04R4ebULGWE15mW2ss9obzuRGov++z69Waf0Z3y5Pi7rAHTxi3vI+scKubUCUVEq5OU8Ws/v5BtMrUMqDKlt+j9zJ+RCUJUy/2MMh98/l5odSZuCK0SFI4YQBkBAAAAQFSgjEzlIJ+iMmbrLYCvVcUnrsy/83oDv/3MKb09cybTHGXWLKnakO8jr4nmC9FmoZXrfHwlgaqJmr4rFJHXlEPKUkj456x+obt8W6LOlijXBvReojRqnzc5/u72ZFFXu+d2xDpL/eCpvfK8WtdwNPjZuGhzJXsKgXbiePG514rezxz33Oz7KhT8835Gnax1oda2wmipsqGDpB0UNGdWuUAZAQAAAEBU8DICAAAAgKgc5BjEIcUnlBL5sleQLZw/tXdYwZnyNHNe8TDNZGrwRLqkYhgczUPDlVFXTUr92jpr1l4tFCO3Y2272XdHZlVuYBVLLZTilnIkVqLpYRp3R2+THmaxUnslPGyzJcrkLMBENJoJuMXDLR6puWaIbEWUadcwuc782rv7YWth0mRqpaGP1xUL04y+8/T3UZgmedA6bGTTkNTevFTxt6QwMjVYY7ZHS60CKCMAAAAAiEr0d8iDQRVzxEhCL5U7Js3eV5ScbYUOduZTR+tptZV12pKI3Jw0bbdsa73FdM+SI+to67R0STmjr9pL7Yl5aIjGvWgP8+OoyZ5SRy55W0qvvidmwd0cF02oH1pqb5G5afg2vK7sf/LtnALCj3Maym0x+t0p1USm9HLVxDq/IpV4QiHRtmNl7n5oL0zeMzKNfEspm1RIJu9Z7fvEdvwZSU7UnjthHfa3wTKetkl/jssc2Cz3/25lGVGtv5M+ikhdab/NUGmgjAAAAAAgKlBGKmfWTnHI8XooJHnT8UJ7TVm9r4Gy3pO26I1Yng+tnlQ9bGVFU0aSFZqyYakessxT/bB69XJgM82foQ1olqWI8D5YT1nHy7igwLNB5ZDvGpZCIm+rlNdFpPt2LfXD8oyEXh+jzN0PXr4OpUwqJOn62Z4TWSc3lmqZVV9bWnVDy0ZoieEWPr6QJlF9am5RoIwAAAAAICqz1m0HtePrD2mlvzbpzjI9I+kJ8rTeX0dRNOQ6LRtGU0IcWRk3/LM66raPJ8GqE1A2YGXOK2IN526pHiET5cm+Zout32XrQ5xLTiHhbbtj6orvRKzfq5yLVknn18vTw48pqa9nzPjfc5qHabQPj3V8v6NJ8+SEecMN08smMCEQtDIqckJVE5AHKCMAAAAAiApeRgAAAAAQlSYJaOCwUOZART4DK+VuOjsUI9eFhGTS67LThkdYoRitngwD9D3qKOt6rMx91kIpVphFmlu1OnKd/GlzbH1ekVyLGMiERi2Rsqeci668Br7n1zKuyu2t65xgpt8a5lZtfci9XgpZAxLmacdnHWg8UEYAAAAAEJVS3yF/8IMf0E033VRmk+CwUeZgRjnubt/eX6gSEnQM/eF2LavnTR5lVg9cQ/TG9zy3y9qtVuZjYJX15zLKQxIwfcQIC34uutp1ycI6GVY7Spm7H9z9MZEmO4UQk6tFboXER7Ws8NkGzaZUZeS3f/u3y2wOAAAAAIeA4PfLf/Nv/k1m2cbGRqGDAWBEzbFgbYK8UVnBWLmVvpsba3PrcAM8CT2e2iuWWSrGtN1qda0yax/WoN1SEdHSgF1bS6IuLxv9Xut8+3p6ZJ1pbeXASvvN36bxbBjPTWHKnlQPNJrgy/u//tf/ovvvv58WFxdT6weDAX3nO98p7cAAAAAAcDgIfhl54xvfSIuLi/SGN7xhouzGG28s45gm+NGPfkSPPvoora+v0/LyMt133310/fXXT9R79tln6fOf/zwNBgO65ZZb6OzZs9RuBwZWAQAAAFAr3p6Rl19+mYiIfv3Xf119ESEi+shHPlLOUQmeeOIJuuOOO+gTn/gEvetd76LHHntsos758+fpT/7kT+ihhx6iT37yk3Tp0iV69tlnKzkeUDO+xresOiWm+0ra1C8kg3eoP/EviB77V6QOedZR2CP/GTqsXYS0M61+yE8J3W/QTsq8PoLC9w6j6H1sUvTZrPD5Bc3B+xL/+q//Ov2tv/W36K677qK//bf/dpXHlOLy5cv00ksv0W/8xm8QEdGtt95Kv//7v0/nz5+nkydPjup9/etfp7e85S101VVXERHRnXfeSf/hP/wHuvPOO9V29/b2aG9v/Ceo1WrR0tISLS93aW1tntX0OUXWwNQhMzhpdbtGmTq+uVi2xVJbx99J58SSD5fsM3Sy2D2P5rnJxlbFd6LxdOrLyXKJlbnPri2+nfvsLlmXaC05ZWtZp4D/3OQnrSUfVlnhSvJ5OdlwmZ3npeS6LCY7XqDxPTOfHFQ3OeBu8gM6bEa1dvLf31zyP1BL+4+gtTd5vO43uEPht547hAWx5NfAjaduDSfvLjObla41nz4U7W6yxvKQVhV+J8k7TjK/tpZaSqz9yqX2pGhPyMTdz+85d/+uiCXR5P2r3f/KPZt5UMq96jZo0fh8zCUH1U4OpjM6kPH95+5Hd3/ye3Yv+ezu6112pvrJwewlBzNQDmrfHZt2r7IbxD2T7hmduGc1M5E2Xo67NwdimewnRVf57PXi1xJLosm7VfvB8uD4OhJlvjN5Wn97ZZlV19IffP6+p7dfXg6ZlMHG+2Xkd3/3d+nP/uzP6NOf/jQtLy/TL/zCL9Df//t/nxYWFqZvXICLFy/S1VdfPQq3tFotOnHiBF24cCH1MnLhwgW65pprRt9PnjxJFy5cyGz3qaeeoieffHL0/dSpU/TII4/Q00+/v4JfAWJw7l0+tRbF8nXVHEwI7m/aNWJZM0cyPsfi/zl3LvYhNIIjYklEdG2MAyEav0RcK5ZTOPeBKg6mCNobSxPu+sOD98vIsWPH6L3vfS/9o3/0j+j555+nZ555hv74j/+Y/sE/+Ad05syZ1ItA2bRafj1yXm8wsN8477nnHrr77rsntj1z5o/ouef4H71ZU0ZkX7AtvvP6sg7RuEvnynjXTq5bUsrELnyVEau36VN2dFy21h3+sbvuC0TrPVYm6xIRHR3OEX/0+OVhlYVxRtgqrSfVh2VrNC5z69zS1dXKrhp9vzRR5ypRl4hotT9s68hPkm7iq+x4fyKWvOw1se6yqMvrrIvv/POV5CsrW99Jb8bz5ly17WTJJ5yT69x3rQOc1VmdX1uj/+fcOfp/r7uOdtfXJ8qtp0Deqfx2lOv4fz3uVnHawxq7V4+4iu4+1N7a1pSyY8nS3X9XK3WuFnWPTZa9dmz46zbaY2XkctLopWR5md3kl+kqtYzX2UgOWCtbT86GW7fBFJmNnaTsYlL/MjvD7v7bGH9f6ww7Cdd9jmh9j0b32kRdYmVXAst2xLodVuZuwImbTZtCUbtb5Tp+t/dFmZafJev4Pgna2MWyLOu7b5lPsDK9/Vvfel1pHXjvl5Hd3V3a2NigK1eu0LFjx+juu++m7373u/TMM8/QF7/4RfrjP/7jUg5Icvz4cbp48SL1+31qt9s0GAzowoULdOLEiVS9EydO0Pnz50ffX3nllYk6nG63S93u5EvE5uYera/zuUGlvKZhvfhY28vtrHZC5Tz5AqfpvVooZl8s+X59j4HYtKdsnbzX+X0tD5sfrtutjAcQjf/X2UyWLMK23kteRtwfI/e/D78kA7e7wURhK/ncVVJz55Mf4+L0XTaf7G6yw73kD9de8gerNzpIon7yV3Q3KdtjZaP/8gd7k8crU0f5JXGHsCOW/Dy7v51ud1dYmfs76/6Is//3BzvpQ+GKuRyUzEqRddvzJ8w3tXd3fZ122MuIu/SuLX6a3K0ih3rXhnx3x29FAVIHLGNV/F1e7miZlcnr4trk11CGJpR71f3yPbbj3eTG7yc77rHOwV7y1u+Wu8nr1w77UVeSHW4lZ2yTXZXNpOxKcjAb7KDWk4Nan3x8xr9BuQ/X95KXkU1RR3txWBffiSbvX+s+3lbKvMI0WihF/n3UfrAWVwqZUtt64fB5GQlJsvfdTt9+czOX20rF+2XkAx/4AC0tLdGRI0doaWlp9O/06dO0vLw8vYGcHD16lE6dOkVf+cpX6Pbbb6fnn3+eTp48mQrREA29JB/96Efp3e9+Nx09epS+/OUv09ve9rbKjgsAAAAA5eD9MnLbbbfRt771LXrzm99Md911F/21v/bXqjyuFPfeey89+uij9NRTT9HS0hLdd999RET0+OOP0+nTp+n06dP0ute9jt7znvfQb/7mb45Se9/xjnfUdowAAAAAyIf3y8iHP/xhunjxIn3pS1+ij3zkI3TzzTfTL/7iL9Itt9xS5fEREdG1115LDz/88MT6D37wg6nvd9xxB91xxx2VHw+ogbyTiOSk30skb8WP3U/p8DnaTrbvpzIUCuYqWptbhyuzNYx2Oqysm8jnloPJlW0pZTJqp7mstNFSpQisbaclFskyDVnfcl51rIZ4mcd59bo+OXH3VfpeK+f+Vct6xdo2yTMZEZhZgm7948eP0z/+x/+Y3v3ud9Nf/MVf0Gc/+1nqdrt011130c/93M9VdYwAAAAAOMB4v4z86Z/+KW1tbdH29vZoee2119KLL75Ijz/+OF5GQDn49H58e0g5BpLqefYizd7iSAnJ12vsJWnsg85QF2hpBkmHVaa5Ni1Er77ruZ2VE+ajiEj4JetS+mdwH6lURDRlQ9bNO+VRV/tRPpdX286nHaVskKzr5RxV2ue+9LlnfZ8RZcNy6oTUAzOD98vIV7/6VVpZWRn9O378ON1www30d//u36WVlZXpDQAAAAAAKHi/jGieDQByUaYfRIsrBwwUazfdNr/zdaFKifSRmD1SX0+Cz+C7WXWUdR1W5j67SVq58uAugebdmDaGiA/8kHkipVRErJF05NKqk9qnci4mroHv+bWGqpXbe3hP0vdT+j7S7jVr+5B7vRSkalnW81+kLRAV77lpAAAAAACqAC8jAAAAAIhKwUQycPDhyZWW/dCNUpjESJoklZqDHg6l515vMv12vPl0ybqnSN4hoRst7ddlTabOupT4rRCOViegrMVTe52pNQnT8IkA3B3i1mkjsPL605CjpPIwinZGLQPrkijj51KWaZMbdJVzUdb5VUMxRgjH3Q9W+q7PPdcTy9Q+PNbx/brnZnRwWuiliX8LRviMKl3eKKMgGygjAAAAAIgKlJHKkfa+pqMNPZUF7zFk/L68czaF9rC0sv6UbaYgVRJNvdCUlPH8IFL9mOx1muZWLcXWp1dtGSXlNPZ8kDc3L4iy3VIy/9lecj732LQbclZ2TQXZNMocbncytZdPemfdcZbqsSzW8/qasrKUnEP3u031gp9DeV5Dr49R5u4HH5OqVtZTVLhxnY661OrkRjOX+zzTeZ9/n7IRoepHk+QeH5p/vFBGAAAAABCVWemuN5yQIZ3ywt9sfS6b9aZf9LLLuVA9KWvQIyslsEeTr9imZyTpCbpln/Uo29PTb3XPR3qdFqPfSWZZXTKVkeSHLLCEVqtX7ta53vwVsV7b3lJN2HnqJLOdOpVmmSkjIX0uTSGRioh8irj/w8qG1VJzpSLC9yvX8ek+3e8cpfSGqh+W6iHVFu0aKmXuftCUEXdvuftK9zDJ9N/Je1b7PrEdf0aS54ZGS9aIpWhI1TLUX1LmAGoTlOUR4e1Ys+5mUZea0QxPDJQRAAAAAEQFysiBw0elCfGFVEAVAxVltTmt99UbBrHdhF+pib9G2QvWoGU+ZVr2Q3qd1pPdWRj2cpedLEFsaHitVy7XuR74jlLH8owo27WSdUtMEXHs7Yjv7HOWR0TzfmTdAvzn+CojMptGeki0siV2LpxXpKV5Rixlwzq/Wdtp1zC5zgNW5u4HTWmzPB9ZA6KF3s+j77325OeekkXnMyBhVc99VHwOoBlqRJOAMgIAAACAqOBlBAAAAABRQZhmKrOWmhuCZUTVynIaV7PIm9rra2Dt0WSoJmM/+732RFFRWVsudxNzoV421vPd5z5tERHRDpP6F6U5VTM/+oQKdsSSf3bni2+XrOsq59Kl+5ISwtkS3zvKehkslAI2H5RMpv1q9VxdXsc0sMo0XiLqWudQrmPbjT4vijradh4mZH7tXbjF3R/8ngm514rez5x9bbAzCX9uW+zz1BCqUZa1j1LRQilWeOUgh16qj31BGQEAAABAVA5id/8QEpr2W8V+M0yxvjNzFh06mm8fktor4Oa83kL28NlynVXm0i2Xld6m68FqPdFRWYf9IJfm62NO1ersZNTln935WaFMUgOMufrOZ6soJA7NbOr6k9qgaXuUzojVek9Waq+pjAhFpMvPxUrGkshWnnxUk4A6/NrLe4XfM1aZTPctej/3FRWRVZ78bJnLy3jei9Qp/IenKNHdto0ByggAAAAAogJlpFE0QeGQkXitrGBqcN6BzXziyrIN77h00vvjaYtGuqT0daTj91tqnR1Wx31eSoYBS5cNe7LzydKldBIRzS8M5YcJTwNRth9E67lrqkk/Y8k/K+fQDRY2mkxvnIlM3aR9mb7LPSPyTueXZ4nGysgRcUi5hoNX0nfVcynPk6ZerBplIW0qdfaSJb/27r4YL8cbjlW4hYky6TWR3606/PMoDZ0rI9Izkje1t6hnRGszN9qBV7aznBw8RQXKCAAAAACigpcRAAAAAEQFYZqo+IyWatWpYk6coum7g2SpjMgo8R09MVTKda/Ybv4Lr+0TmXqbSderw2DCeI4aPwOqXGfVGadp7rKy7BDQ7uKwXlcaWYmyjZW8jgzhcGOmh3FVxYVnrCpJ21v91Cap3TpkgqS7nKtExGbpMVN7R8bV5JS7EJKavut+Lw+XrIoyfk5kfc3cqoV3fK5Psm53cfirrVAKT9+V6/Lej2ZqbzInDX9GJuak8X02pYE1TwjW+j61bKCtDKCKNN6iacOznVoMZQQAAAAAUYEyAjLQTKo+Ko1xS/n0dMpI8c3T+9oeKjn7i6y3uJ0YBVfShlKicZquTN8lGs/EK2fm5XXmhRmRt+3WbSY2zHnmMp1389UsDl2iLW5AdT10+Tu569M6F1IR8U3LFpe8y767WW97yTE4c+sea68nUoFl/855Htco3Z+dUEaYr1IqIa6spSkV7nfzMql+WGm/vinBWWVs+8FosLP0/UE0vh+kkVVbx8uyZvTV6vSVMvfZPQ+pAQK3hQIaqoyEEKqaeLUfqkYcPONoU4AyAgAAAICoQBk58Fhv/kUvvzb3agDT0gDlZ9/eV5t9nqaMuDRU1yvmg565mXyV1F6XOjmfeD36LFlV+kA0X4j0g2ieEbk9X7e5MlyubDMXRVZqrzYwmlRRNLQy7TLLMbBYnVayP5fi63waA0UZcWpJT+432WZtgYidJuo4r0qy5MpIyx2Dzwy5PsqIj8KhbaelXhupvZsraa+INk2AVaal7WZtp6Wq7yhlEym9qdTeZLktvvPPhf1cSllWndyU6beQw/iV3f7BBMoIAAAAAKKClxEAAAAARAVhmtpwkl0Zp9ynLZ+0Xx8dXgvFaGZVqZcq+w2RXX23KxqmmShj8nTy2aU0uhRfInuW1KxUyh2ljlUmjaxEYzOrM7LOr4yHO+1mjZLqGw6zcKflilLWFnV4WGhblCX7a7H9uuPWZgQmolGa7ZEjZE9O01bWyTCNlWqrhWlCjKg5y/ZYHWlc5dd+x+Oescrk/egzsy8Ru/9HabzsuQ99NutI7fUK3ViVZEjF1+Tq8zD5hGvKNMnOjuEWyggAAAAAogJlpFSqGIQslKIKjKFsTJTxt+6Cv9mnx16WMsLmThkbV13ZePKMve10SqNL8SUap+KOlwusbOiylCbXeea+3ExmS/Ep4+bWraSsk+TrdlbHebGd/vD+a/n0Nh3GDLsm/PaSyohmEnVqiXVM2rH0KK0kaBPGyv1rx2IZWN1yVSnzUThWjTJju0Gy3FodPzvu+rqlZkTdVMp2PMqylsPP2anB7v53zwN/RsxnqyxlJOt71rpchDZedMdNUCyaZaqFMgIAAACAqEAZ8aZMz0cT9yexBjELGfzM6EX5pvHl9Yy49MGJ9F1le1mHaJTCuJMMfz2/yNJv22nVIp2aO28uiSY9AQvMaCHL2kwycJ9HyzYrW1knIqKV3n76t/Hfm1cJcWjeEXe+3U/gvWM5c7BUSLRjkp1GpygcId0XIo+Dl0lFREu1tTwjVmqvU0SOGGWGMuLSeDfby6MqTtmQy+Hn9KBn/H6yynzux4n03z5TTdzw73KGXqLJlF7r2Srs58pZlsINm5d36PXYakLdikp9+4MyAgAAAICo4GUEAAAAAFFBmKYRhMzeq9Wzyoria1INmO3Xxxfma2TT5FqeRsqlYC0UI9fxEMP28Pf2k/BMn408udOWBlZubk2bCTWTqjSncjnehWCcSXXBCAFxo2F7YdhGe2Vj+JMsY6iFZQi9opTJEAwPhciwjBammWaqdafmCOnGWXmM/HPeME2IgZWXydCNYm7ddmGa5HpZKbo8lCLNrfyekWGWHcPcOjawZs9tw+/10efkeVBNqtoIrFoIR4ZQrXCL3Id1z2j1vag71TZk/74hodiho3KAMgIAAACAqEAZmWl8TK5535ot46oc/Iyvk90YQ03xNZ2FGtnkZ5/UXkM12XepvdtM/VjInndmbGod1t8aGVHHB+4+jwYxU2b0lQrLcLu+uuS0V4Ztt3vDH1CKViZTZfk5LFsZkd/duF9rpKsf2vc8yohW5jMzL1c/pCLCzK17I+PqsHFnOt0iPwOrVDQ0ZcO1yQdLc/ffpOqSPbcNv9f3Rym9yQpL/ZiW2lvEwEpGmbd4kbWB9nfSR7XoGev2lDKfYzucQBkBAAAAQFSgjNQOf/ut8vQXTQ22lA2tLKv+gH1upatWldo7TRnRenaaZ2S0bvibdrdZTzLxkbQXnMKRrWxonhGnnshBzPjnzkj9mFRUNEVEbk9Hh4s19qNMlcQavGxHrNPUj22jzLoGchh7To/G1+EIERMKxvgMB68dt/SK5FVGDM8IH+p9/eiwUen9WKe1UZ2xIpKtcMjt+WdtRt/Jwc6ylZXdHTfQH/vBzitiqR++s/bWmdo7YiBXWJUz1vmU+VCH+jGbCguUEQAAAABEBS8jAAAAAIgKwjSVUGaqbdFwS1E041VXKZPrNK1f4GtiDJFr5eif28qhpEZZFdvxwxXr9pmpzxn82p1hjMGNyEo0OSqrlqbp5HjNiGqZVDtGeCbT1Hp0/NGFbLrjjcZkhTaIxufC1ddCMdLIyrfLmlFYK5O4do+Jth0+YRpXpqXvamEamdobOKOvC8+40AzRZEquZlJdT+I8WijGHp01vc4egXUylONGXHX3Nb/XR9dQLvlnKwSatd22sp3vc59VZyp7YinXa403IXW2rNBLE36LDpQRAAAAAEQFykgwVRpQfRUVn7lhfBQZ6207dIAzuU7rsngcU16zGlcxeE97WmqvpZpMmFvHx+8Mfp1EGdFm9G17qB+7IiVTq69tNz58XubRe0pUkuXO8MctWjPdagObuXWa+qEpIyuijqaCyMOW4o9r96ho22fQM6mIWLP2WoOeeSojowHNVtJmVaKxauEMq+PUXm5S9Vc/+D0j1Q9rO2tm3pFxld3rpknVUj8sc7mcN6qwSdXC2jA0pVe2s6es86HoYGdVKhxxDLBQRgAAAAAQFSgjBwIftcbyfuStr6keMsVXGxhNpPjyz1Wm9mq+EDmTr6aaKNuNBkJLlBE+o+9WO52aq/VWLfVjS6T0WoqHleLr6DMJoZd87q8Mf0y/szkqW+4MZ/tthSoj1oy8bt2KKOOHPS3u7zrwVxOx7Ogx2vFmpSlzX4hcF6iMDMTsu0TjId7tAc2GZRsjhWS6epJu0w1itjCxnaaoSNVklAaszMw7McAZ/+yjfkzzk4Sk3Rf1k5gz9FomNatuiGqBgc5CgDICAAAAgKhAGYlKHZkyZe5Dvul3lbKsrBp+LIoik7cXJFUL3tvKyqaxttd8B5qisjH8DXuJMrK5wTwfRxO1JOnGa+rHphgiXh3WXQx+li6b3qNyQ3v3J8wVrM4CmxAtUUmW2sNr1+WbSfVAZi3xdVw16Yl1Vk9WE3l6NL5djpA+fpX287IUEU3tsQY9U4aKd5kyW6vDA9ts8yHb0+qDNqDZ1mhAM61OerAzbWAz3U+S3k7L3JKDn/F7ds8pIhvKZHg+2TTWoGe8TouVaaplXmVERSuMlUVThwIy2yoLlBEAAAAARAUvIwAAAACICsI0lROSamttp5lUm5Liqx2TFhPxmMG3qJFtm8av2D4GViudVYYk1BBOMoBUZxxjcPPWbC7IUMykgXXLDMVMN6dquLBMzwrPJGV8tuF+O9nu6DBcs8BMuctXEnOrNf+MW6cZWKVx1cq2lN/dub6a9MdA+y5Tey0DqzHo2SAp4ybVnYV0KEYzi/oMaKal6LqQjT1vTTrcw+s7U2t6tt90+rg+/4xL6aX0kn+2TKq+A6LJEGpZz71J3nCN1ZY2a68PISm9Psddxn6bAZQRAAAAAEQFykgh6jCghuJzTJYRdVpdjmZOtdqU8kNrskoVqb2aydWnbR9z68bwN+x3mGFwIxnsLFFLXKovRxpQdQNrWK+r73EfOkXELflMwlJR2V0Yl+0sDCWOhZ1kBuLt/VFZ16kf0sg6bJSSRvWlVkfi1I1jpJtcQ2bt5XWEIrLHhILdxWE/zakg6VlwQ5SR7AHNtPRdqYhoJlVpgNX2p7XpUnnd/Zka8j25j3ObVK1nk29Xdmqvikzp1QYms5QNWearKsx6Sm/cY4IyAgAAAICoNKlLf4ipM8W3zP1YfhArtTcgxZd/1rwbWllWam+oZySkbGP8WybSfYdWAWozhWRLdPHz+kMsNO+ITPfVlBHX81+mrVGZG+LeqSXzC+P8XaeWtHv7yffxMbSyUns50k8icV2mY0S0r5RLXwhHeEUGrM5Osq7fSasgRGMlZIcmlZFNMehYXmVES9+VigjfXg6Spqsmae8IEdFmP6mf3I8TabxEYem7eT0jmp/LZ6K9YGXEMpRkqRZVqAJ1KQ1NVFnCgTICAAAAgKjgZQQAAAAAUUGYpjbypvhqyLCONduvz35D07602ybLFKuFcrQQjjCzlpnaK8Mz1qy9ZYRwNhZTu3Ez+26uLFMWWmpvKKN5Z0Qopq+EaVw4YYk2WZkL3UyGJuaTOIsL3bRZ+GBhFLpJUppXxhdIhnDaSVFH+bmtLLXZ3RpXkzoC60C5HXvJT+533HIyFCPPBZ/F1pXJkAyvNw7TTIZi3CinW6m5ZaaHabLmr9G2953t183Iu50YV939WWooxpq3RjOwblOx1N4J+I3hkyLrY07VTK5Fza0+68sMuzQ/pdcBZQQAAAAAUYEyUgpVGlDzKirWMfmk4fq0raHN1uuQx2IYYKepH7JJXqfP6k0zsPqk7+Yuc6mUigywkv4aamDV5p3peygjo7TdpHfPza2up7+cqCV8QDSplsyzCWh2xRw8vGxrIZmXxy3FjMScTj/rHHTpCBG9dqxL2r3aa08O7pZ1DrTfK427vEwzsEqTKt9uS6zTVQ99jpoyykZ1rjBFxikiPgObFS2zDKhcteyTntprzQjsZVrln7VU2yzVREv/DcVnILSibVdBMwywUEYAAAAAEBUoI42iivRbh+UrmXYskhD/Ca8rU3q14eQ9BkLTel+8mWmDnmnKik/abzDJgGijXqtCopCUmdrbE2qArozsTpS5da5Xv5BSRnZS63hK8EJSpikjHZKKyKQyMvrtyuj1HepTi9boCBFttNdoz2OI++HnPMrIpPqhKSNynT5DrqWMZKcGS9XDt0wqIiM1hIj2R16R5NnaoPRSW8fLQtN3KWOdNSChz4BqKnKAM05er4hVN0RFOPhqRplAGQEAAABAVPAyAgAAAICoIExTO6HhEms7zaSax/CqyYlFU4FDjKxEQaOyTjO3OiXeZwRWnxCORpC5VZm/RrbHDK1WaMGnbDnDyMrry5DMcLth2u7CKAyhGVhdmIaZVJPwwfzIyMpnJx5emKxwDa+j0aE+zdEqXUtEl+loKiQi4XPzZJ0nrY5l5rUMrDtKaq/cTgvT5BmlVS9jIRwRnknNO7OdMe+Mr0l1wyjTQjGyTe3ZzJPaq6JVksZVK4Rjpe9ahMxDY22vHVPIcfi23XygjAAAAAAgKlBGSqWOOWZC8UnxrTIlmSMVHa6CyIHQCszoy2eBnWZgJVFmrStsbh3/XjfFimVq9cFn3hmujMh5Z+aVdFaX2stNqm6QMx8Dq6Z6cDPsZB05T09PfB+ekEt0VCgb6ZOvpTk73O+21BPLwMq3s1J75UBo6TltpisjcnszNVhJ393X5p3JMqeGmlTLHPQsK7XXe/6ZEONqqOqRlypSequkWccEZQQAAAAAUWlSF74hlD97aj5CVAstJdjyjviUlYWmfjh81ZpWumiaMiI/a2mH8hB81BJNGdHweqqG5yVUIZHeh2VDGXEKB1cJ5kVPfyHVq5+e2isHOBvWk6m9XFEZnvwtRTUZ17GVkU6iBFymo9Rj95OljMh1mmdkd3QuJpURORCab2qv9JFYg6VJpSRdlq2sqOm7UhGx0nZDfSF5U3u1WXeznk0vZWSgFGrpt3m8Ilr6ruUn8RlG3qcsVJ1okpqxR2X+fwllBAAAAABRwcsIAAAAAKKCME1U8s47k2c7a3TXukZ+dWgz+lr7N+atscIrO1PKs7bPOpRKnpYkXNMbNy5DNv3FcfhhWczDwkMTMiwjjaxE47CMnLGW17NSe7eUUMymMLdqBlaZ2suZDNOkv3eT9i/TVbSnhFKyvvN1VmqvZVIdp0Jnp/ZqYRqX7qyZYrOMrPxYRmm8/cnZd0dmVRamGaXvWqOrblN2HVlW5tw0fMnDottKHe/5Z2S4pOhoq3lp0jw0s5nS64AyAgAAAICoQBlRyTswmaNMpaGO9Ns6jKx8P9ZAaFrarzOuCSMrJ8Qk56uGaPPeWPWtddPojVOZ3Vw2G71hr3xxlWklq0n1tuvpb42KslJ6uYohe/XLTIdx9VwdrlDIuWm0Ms2kKueiCVFIHF1aJKJhai9XRhwhioiW/qupH5aBVRpeNQOqPM98nVVnZFztuxmfx+m723L23Q2W/p5H9ahK/SBRL6+BdcRAWWcNEGaZRLOMqz51tLazjqFsyjKuFm2nut8IZQQAAAAAUYEy0gjK9I5IJcWnDnmWZe1fQ9veqi9/u4d3hMge9IzHpKdhpfhah1QWqQ6LU4CGigA/pH7iLVleTXr8C5M+hyXhHeFDt7s6UgXh61yq7rynZ8QNiKapHlmz9XYClJH5RDkYDge/OFGuKSNZioiljJTpGZGDpvE2pC8kpZ7spH0he3xY943kt0ulQ1tnpe361Mk7sNm07dwpzhr0TMVSKHxSczWs7X0I9Yr4pPQeTq+IA8oIAAAAAKICZaRymjhEvMTyyISqHw6f2KQ2wZ+1vTFUPO+RuZ8QMuS0r4KSB8vj4lOnN1YD9hJFZD3xk8wvjlWPflLm/CTjSe0mBzYbD2I2qYxI9YRocjh4zTNiKyNyILPs4eAlLrvnMh2lHTGsPEebEHBcVswzoqkmujKS9phYyojmC9lN/CDqsO5SacirjFjb+5RNG9iMMtZpqqX53Mkh37XGtb9PPqqJhdwulk+kTJo0WJoOlBEAAAAARAUvIwAAAACISpNjBw0hr7m0bKx0YS3MkmVktepo+ysaitGQabxWHW1/yrw1vIpMH6wiBFP2kzMtXXm0LhkkbXV4ANs9FnZIzK0Li0kYYDEJybS1MI02sFk6dGOl7xY1sHI0Myvffi85ng1aoytGXRmaIarGwBoyb00qTJOEZdzgZTtJSCZlUpVpu5YhNG+YpejAZkVSgrU03xR555+xDKGhqb0WIcZVnxmFrTBPk0Ir1YejoIwAAAAAICpQRhpF0cHWyjwGn4HQ8h6jzxu/1fYS+yxMrbzH5Qxyzv+pKQ1VGlcdPp0pb2XELZPfuzhpbu0nakkvWfLh5F0q8I6qjKTXpWfmTasloQbW8ffw1N6l5F64TEdpS+mh+aT2anV9DKx5Z/QdDbe/w8ytiQISZFLNq4z4GFi1tsscDl4bbJCLsql7fiAqE9FoQL/QgcnKGtirycbV2PsvHygjAAAAAIgKlJHaKDPF12pLKhta3aw6Wpu+XpWy0DwuWXU4GQOiSaVEIlWTvEpJaGfMZxhs33TJUVniJ1kcLreFd4RonAq8kKzb7Yx79c5boikj9mR41XlGhsczvN6X6ShtGie6TM+Ildo7oYz0mWqSqFFSBSFiSsh2cq8W9WCEpt+WvT2Rrn7I7ab6RHgl34HNsupM2y7LK5LXu+E7eFksr0iTfCc2UEYAAAAAEBW8jAAAAAAgKgjTeFN3im8d+/Mxq4aWyTq++KT7OnKOzroovmvwqU/KCt34hFt8tg9tczsdtiGaDN20O8ykKsvaPNwybFQL4Vgz8vqMwCqRRlYXFlmnVdpkZZpx1ZFnBFbvME0/MbyKFF2icZhmIiRDNBm2KDONNs/cMqH7tQzgPvPWqISMsmqZVH1CMbJeFnmNq3WYSus2rta3PygjAAAAAIgKlJHasQyhedsKMbJO2681WJq1vawX+ttCjFZa2y4N0KX9eigkfLc+akkdacBEgeoHK1vMWKZ6smm1ZH9xfN3c4FvdkWoy3rCTKCiWaqIpI+M6+Q2se0mf6TIdpSu0n1nPx8CaLjOUEaF+9JTB5UaDlbGyCXOqj4pgqQlVDkwWalLNq5qoOEXEPbehA5uFDlYmCTGu+hhSre05dRhXZ8e0yoEyAgAAAICoQBkJpu6ByarwjljqR8hQ8Rx5fFW+nVvnosfquN6XMmS8I8RPkvdpKer90MoslceqI38n85NQZ/h5bzEZppwpI5QoI3PJks8W7FQT7j9xuHVcSSEKU0gGSZ9pg9ZoQ1FGLEVk9L2fHhAuVSYGiSNiA5O5dXy7RBmhbTbQniPLF2KV+dTR6uf1fJSpjMgy87Hnz6O8WctK0fXdTuI7aJpPim4Vf/vq9IrEGVANyggAAAAAooKXEQAAAABEBWGaqFihkDztaG2VGeYpOm9NUfnPZ3RWvn95fhVZ3aGFNGTIxirTcPtZNGtNHpNPmEbLhM4Kz/iGpUbrkvPUmQzh7C8OpfZtPtOsCM/Mse+jME0nfdI7SkhHbjOmRbRAtLGzSutsVlct5OLoiTJnOuXb7MvtfUMxlonYClvIMEdIKEfbPq/x1adtn+PW1qkRCjnvTJey552pYpRVjbrnn8lq63COtqoBZQQAAAAAUYEyUog6B0LzNc6GqC1a3aLz1oTOKSP3a+H75u8Mq1npxszQKptUlQJlFz7Z0ZYiInuSlhE1VBmRZdZv0tSejlimtstWTRz7Hf552CveE8qIVFMs9ltEdC3R5YtHaX0wtfqQCdUjOaiece1D1Q8rnTVENcmrjISqF2WpH9a5SCEVEf63pZeUyzJN4cirfsi6WfuRdaztZTu+beSpe3AHONOAMgIAAACAqEAZaQSh3pE8ikxoSnLocPBZv8H3bdvnt/u25Xq/20SkdaU7k3UtH4l2aHlUE74PqZpoZaHKSJZXpGPU4cffEWXadppqoq0blSlKivbdYo6IriWiy4tkjHmWJkv10K5z0fTqvGWhKkSI6uJTlne/2m8aMVAK3XO7RcPnbZnGyojPwGY++PpJrO189htyTHmVhtDtZtsr4oAyAgAAAICo4GUEAAAAAFFBmKYU6p7R1wcr9FPFvDXyt1vnpGpZ0YVpnBS8ZdQ10n6ludQ3JJPl89UMrZaBVUvNtcI0WcbVRaWOT5kVivEO02SUhfzlcV7Uy0RTprEZU0eYxsfA6hMKKWqAnbZd2ftVkWZVonR4xpVxczkP0/iYVH1DMdbfl6wQyKzNP1MmcY2rDigjAAAAAIgKlJFG4atQOJo0b01WGq321l3FgGgc2ftyBCgkHJ80WK2prO9Etvoh1/mqJlnGVe22kioI395H/QhRQbR1vn95OjRWRjaIaMeoy7HSduU6nzJLGcmb9lum+pFnu1BFRyUrfZdIn5FXPptF1Y+8A5tZ28sboonzzzRRYSlGo19GdnZ26LHHHqPvf//7NDc3R+9///vp1ltvVeu+973vpRtuuIFareHN/qu/+qv0+te/vs7DBQAAAEAOGv0y8h//43+kbrdLn/rUp+j8+fP0kY98hN74xjfS6uqqWv9f/+t/TYuL1khTVTPr3pFp5BkQzVJPOCFDvU/DRR+lMuLwUUiIJlQSKw1WK8v6zteVpX5o63yUkbzpu1qZ9j1EEckqc+svk61iaFgKiU9ZHX4SS1nJq36EKiNW2QTT0nezyrgy0qdhnnZRz4isK/cnyfphod4PDXhFitBoz8jXvvY1OnPmDBERnTx5kl7/+tfTCy+8EPmoAAAAAFAmjVZGLly4QNdcc83o+8mTJ+nChQuZ9R988EHq9/t0yy230Pve9z5TJdnb26O9vfGbYavVoqWlJVpe7tLa2kLBIy/jtIa04aNshHZJrfra/kLSJrS6ctKztvLZLfk79NzEcm1t2Ptyy3FvTC4LYA0Q1s4o47eVPAVamdb2gljnU2btVztuH2WkrZRp32VZ9tx2mbfcWie9DEJe6pZn2eRtlV1m3ara75XqRcsom1PK5sR3vh9NGZEKmfvOM5NcmSZ6BqGd4PEy/WzOkX2i3Y9yI91xRcYa/W4glj6E/k3Q6ltt+PT7Q46hDB2heBvLy+VFAaK+jHz0ox+lc+fOqWWPPPIIEdHIA0JENBhk31yf/vSn6cSJE7S9vU2f+cxn6A//8A/p7NmzmfWfeuopevLJJ0ffT506RY888gg9/fQHQn8GaCjnzv2N2IcASuTcu2IfARjC/9PsiuWyVwvnzt1U5gGBA0DUl5GHHnrILD9x4gSdP3+ejhw5QkREr7zyCv30T/90Zl0iosXFRTpz5gz93u/9ntn2PffcQ3fffffou3vpOXPmc/Tcc3/l/Rt0yjytoW2VrZJodS1lxNrOrdO2d+vaRh1te1m/Q2trc3Tu3M103XU/oPX1gVKHby+7/EtKmdFj0VQEp2hIpUEb00OqKL5lPqqHz/aawhGqmmRtz8mhiDjWukTnPkB03eeI1vOG5bXxSUKyaTQVQdu+b5Rte9TZMcqytvctk7/Fe8I7hzaWiMyYsbwbfVpba9G5czfRddd9j9bX91n9cZ3J7S0/R1981+r4GI18PSM+2/mUWfuwKNN7Urytt771+tI68I0O09x222309NNP09/8m3+Tzp8/T9/5znfo3nvvnai3sbFB3W6XFhYWaH9/n772ta/RqVOnzLa73S51u5P/4W1u7tH6um/+YBZ8+6Iy1m6y9L1Urr61Xx+J08EfFmky7Sr1rDryD5ZW5tbxP0pynVa2z5ZD+XF9fTf5g+fqaPKtJenKFxRPGTUrRdZ6KdBeZkLLsvYXakTNa1L1ifaF/sXpENH88OP6JaL1zcDtff7vsIyo2vei5lafuV7ymlvzGmdN3LMhXzyIbAOqViafzZDBy3xTe31eYrL24Vsnq24Z24W2FUK5ptXNzfLaa/TLyD/8h/+QHnvsMbr//vtpbm6O/sk/+SejTJpnnnmGXn31VXrf+95HL7/8Mj3xxBPUarWo3+/TqVOn6Fd+5VciHz0AAAAAfGj0y8ji4iJ9+MMfVst+/ud/fvT55ptvpo9//ON1HdYBQMsLdfgM4y7VD17fp47cFy+z3rR93XXc4ec7zauF6xFq4R1jkLSQkIZv2EOeXks10S5zlcpI1vesdT5lRONQ1GWyBz0LVcx91A+rLK8yklfhKFsZUbGGdfdJv52WmsvT7rUwjaVUaMeU9X1amaW6ZNXx3V+ZoZTDQ6NTewEAAABw8Gm0MnIwKGsgNC1Xr+h+8yokPvvT2s4aMn7a/mRPQ/OacJxb0vW+qsRQSOShaQOjWepHqOcjSzVpujIyrY67NTZIV0Z8OqJNVkaKek5C21SxhnW31AupiExTVFz/t5/8C1VEsupwLD+JjyJiUVQRiTXke7MGONOAMgIAAACAqOBlBAAAAABRQZimNsqct8YKr5S9X99Ze7P2p4WXNMnQKrOMq1qZC804KTgE39/r1i0pZSJko8nkPiERbbd5ZtYNTcOtIkzjU5ZVx52HK6SbNi1CTK1lhGmy6ljblWFS9TmmCbQ5ZpxZ29ekmlVHW9ejdAi1rxyob2qvz9w0We1odaz6ZYQ4EJ6ZBpQRAAAAAEQFygigcHNs3u0sRUWWFVFIXI/P9b5CjimvgsR/U1esM8yt2inJY1K1tqvapFq2MiLru0t4hYjWA7evUhmxyqo0sFplJnWYVMko44byHoWPthqafhuiMORVI8pUMQ43UEYAAAAAEBUoI7VjDQIWSh7vyLT9hvhBrO18vCq+/gzZI7JSe2VZqGekSjx8JfxzWam5oQqH7wBsPm1Oq+tTx13CDarPMyLXhfpCtO9lKyMmmh/E4ZuG61Pmk0bLt8+abqKoIuLrjahjqHef7fO26cPs+EQ4UEYAAAAAEBW8jAAAAAAgKgjTROUgjs5qGVF9QjGhKcEaziTnY2DNi8/xWufQMLc68qYEV5G+m7X9tPo+ZdPquMt5hYi0WXvLDtfwdVaZ9j1P2m/hFF1OyNwylkmV47NdqIFVpvZas+/K47DqaPXqnncGabx5gDICAAAAgKhAGTnUhCgkRJO3i2WKLap+aCZVS20JnbUzD3nNx1rvUaYSG+ZWTkhKsFxv1SlSpu3HWhdax3X2ryT/ssirkPioJlWaW4NTdB2aSdVnhttQk6q1XWh9h1NFfGbf9VFE8qomVt1p24S0AaYBZQQAAAAAUYEy0ghiDRVfZttZv6FM9cNHbdmjcY/R9b4sz4mPHyX0+sj6od4cj0HT5OZZTcnveVN0y0rfzXNbusu5QbYyopF3TCwfX4jVTmjarxc+g5aRUVbUF6Ltq0iZVVfW960zbb/T6vpuVxR4RSRQRgAAAAAQFbyMAAAAACAqCNM0iqaPzupDlWm/GlboR0rBVeJzDjXp3GeeHt5eYOhGfi8aiqkzpVeW71B6BFZJlSm+1rpSQzEOnxRdMsqsVNm8JlXZTp6yrBFYtW2KzqybNzwTAkZZLQsoIwAAAACICpSRA0+oobXogGg+7YSm/Tp8Bz/js/bydqy281LWAHKWfGGlBJNSVoFqYq0rWubLRvIvD2UZWbV1paofjhAVhK/TvmepCFWbVGUdroy4Z7MKhaOoIlL2wGa+bR5uoIwAAAAAICpQRhpLmem+RHYXOO/+fdr0GRiNb1+FouLTiwkdct6HEF8IR/Zctd/rcy60tnOqJpKqBjjTcD9nmmdEo4qB0IKQHgneeOhAYSF+EJ+yMnwhIccm64em9lpt1qGG+LYV2mYIB88r4oAyAgAAAICo4GUEAAAAAFFBmKbxlB2uybv/acdQtqm1jPCOk4Knpf/WRahJ1WGdC5/0aMvsyjFCOJKioY2Qvzzu8LfJP0xTq1/QCsVwfMIlcvuyQjJaW1WYVH33F1LH2kcTzapV0IRjqBYoIwAAAACICpSRmSHWgGjaMcRK+3X4zmkTUidv2xohalaoydWa9ybreK00aY48XusaBqgoGiHKRY8ta1M8NLXDUeWcKT7zx2jtFVVbiv6m0DleemQff542fbbz2T6knbxt+3Dw1RAOlBEAAAAARAXKyKGmKQqJ1laoh0Lbn+x9aVSR0luUkOuinQsr3dln5mRZl2Nd85D7qKCyMhVL2ZBU6VPw6fGHqhBFVZei25exXVb9KtWQaW2EtpWnbZAFlBEAAAAARAXKyEwSe0A0eRzWsfi2HeojydquR+Net082jU8WT2zVJFTZ8MkeCh1232cofZ97J+8926V816FK/0BoT72s7JKino+824fsX6unPZs++zsM/hBO7L83cYAyAgAAAICo4GUEAAAAAFFBmGamqWJAtKaYWouGa6ztQsMPsq62PyuUUiZ5zKm+x5ZlgJVtSEJSpvPK2l0i2sq5LVG185OEhhjKNn3mbbNMk6q1fd4wC8IzhwkoIwAAAACICpSRA0GZA6I56lBIOCFDoPuaLveSf1b6b9EB1crC16Sap01r0DSrvqWecKxzKNvOQ4uIjtBwLPiQlN1p+FzPMnvuWfXLHDQtpE0fFST0mHz3tye+F1UxQu+vpigih1sN4UAZAQAAAEBUoIwcOJqW9ut7HD5+EEcZ6b+SUPVj1gdLK+q/4ViqVhYh96dLB90jf2Ukz3XJ6xnxbaMOZcNqu2yvy7T6VW7ns33eNovuw4cm/d1oBlBGAAAAABAVvIwAAAAAICoI0xxYmpL2G2quLWNOm6x5TyxDpk/oxncelzok2DwhGa1+XqNwVhtaO9OOaRquz7RNRPsB202jjvTQuue9sdqOFV7K2l9oKMj3GPK2WWQfviA8kwWUEQAAAABEBcrIgacpCknosZQ1p820dspKdS1qivUdYMyHsgaH08ibuu3I8yfH9Zn2KFwZyXsui6omsc2esfeftV2Iahmy/7xtlrEfH6CITAPKCAAAAACiAmUEFKAJab+yTaLs3ldI+jBRftUja7u6fSV5CVU/8nqIfHF9pi0q1zMiKSO116etKtSHPG1WmXI7rY1eSe1oNCV9F4QAZQQAAAAAUcHLCAAAAACigjDNoaGK+Ws4RdN+HUXntJH1+dw0oe34zFujbZ+1Xd5wT2gIqW7ypPaG0E6W/eRfWVRpcCw6j0rZIZmqtvPZnreTFUINaUe2WYQqn58mh2KbB5QRAAAAAEQFysihpIp0X0fetF9H1ebWrLbrmklYbl9Fz6ystvOqaXnNrVk40+oeFVdGqkz1Dd1PFepHU7af1kbeNvO0Xcb+QoAikgcoIwAAAACICpSRQ00dCgmnjmHkiaa/Y/u2XdZMwg7f1N4yZxeOTRn3mJupt0f5lZG6e9I++6syRdi3jbKOJaQd19YsD2KmMSvPZDOBMgIAAACAqOBlBAAAAABRQZgGUHiKbV6KzmnjCDG39qbsrwpza1ZbVaQUa20dNLm4DANrmWbesuvXNfJr2e34tsXbDOn/wqR6mIAyAgAAAICoQBkBGcxC+i9RuLl12n59VSKfNvOaVGWbPu1MayukTa3tJvQE+1Rfam5ZbVVh0izTSBq7zaL7KGu/vjThOTiYQBkBAAAAQFSgjIApVDmMfBmDY+Xxk4SmHZfpB8lq09erItv2VU182gxp2xdrSHtfXGrvHtXv/bCoUqWpMu21KSpInv2UvX8foIbUAZQRAAAAAEQFyggIoM5B0oooJdMm47L277vfspSNrPbKaDvUF+LTtkWob8aXMpURjTLbjO0nqaPtIvvh+ytyb9QxkBkUkTqBMgIAAACAqOBlBAAAAABRQZgG5KDKcI2jLHNr0TRg3/2HDhxXNN3Y2kcdJtUywzu+5JnPJC+xBtyqI1wSIyTjyBNCLbr/UBCeiQGUEQAAAABEBcoIKECVab+cMs2tkjrVkhClxHdfoaqJz/6K7rcqepH2K4mVXlyn2hI7VbfIMeShCffV4QbKCAAAAACiAmUElETeyezyUIafxJHX/5JHralCxSiqXhRVT3yJ/admVvwGsRSJpgwmNyvXCZQNlBEAAAAARAUvIwAAAACISmztFBxY6kj/JYpvbs06Dk4VqcE++/XZf5mpvRZF5HeXDjpLqb0aZR173QbYsvavUadJlQjhmeYCZQQAAAAAUYEyAiqmrvRfR4/Ke8cuy5Rb5kBqkrLUE6KwPwcxephF5zOpilhz21g08Zg4s65ygbKBMgIAAACAqEAZATVSZ/ov0WTvq6w0YE6ZaomjLIWiLl/HQfkzMms99SqOt2qvTB39XyghswiUEQAAAABEBS8jAAAAAIjKQdFXwUwSw9wqqSJ042hyCMdRxnmvOrwRI7U3L2WHCGYlFOOIdX0Qmpl1oIwAAAAAICpQRkBDqNvc6ihr0DSNKn5TWaqJo65Bz2aNOnvaVasJUEJA84EyAgAAAICoQBkBDaVuP4mjCl+Jowp/Cafo0PAh1Nkz5Z6RWesRz1q6sEVsv86sXXsQApQRAAAAAEQFLyMAAAAAiArCNGAGiGVudVQZunFUHcJxhEjt+POgcxhMm7FDMkQIyxwuoIwAAAAAICro+oAZJJa5lVN2iq1FXaqJpIrecd1/cprQww/hsKkfEqghhxUoIwAAAACICpQRMOPE9pNoVDmQmqSuId/LIk9v3PWZZmE4eIvYvf4mnrvY5wQ0BSgjAAAAAIgKXkYAAAAAEBWEacABY4/Ssv4exQ9T1Gl21QiVwmOfr1mhiSGGJoZiHNqzCcAQKCMAAAAAiAqUEXAIaKLJ1RFbNdGoosca+5wfpF54k9UPzkE656BqoIwAAAAAICpQRsAhROuxxe65azRRNclLkV6ym7V3r2A7s8SsqB+Ow3JdQFVAGQEAAABAVGatewVARcyKWuLw6Tnj8W4ms6Z6SKCCgPKBMgIAAACAqOBlBAAAAABRgY4LQCZNTgn2ITQcgD8H+Zj1sMs0EJYB1QNlBAAAAABRQVcIAG+sHuKsqSYaZfXwZ+XPykFXNEKA+gHiAmUEAAAAAFGZlS4MAA3noKsmIZStOPDJ1aBm5AfqB2guUEYAAAAAEJVGKyPPPvssffGLX6Rz587RL//yL9M73/nOzLr/+3//b3riiSdod3eXjh8/Tvfffz9dffXVNR4tAAAAAPLQaGXkpptuog9/+MP0Mz/zM2a9wWBAn/zkJ+mXf/mX6ROf+AS9+c1vpn/7b/9tTUcJwDT2lH8AVAnuOTBbNFoZufHGG4mIqNVqmfW+//3vU7fbpTe+8Y1ERHTnnXfS2bNnqdfrUaej/8S9vT3a2xs/oK1Wi5aWluhNb3pdOQcPorG8PPRovPWt19PmZlP/CLdjH8DMML6e1zX4ejaNfuwDUJmNZxP4Uub/l41+GfHlwoULdM0114y+Ly0t0dLSEl26dIlOnDihbvPUU0/Rk08+Ofr+9re/nT70oQ/Ro4/+YuXHC+rh6ac/EPsQQIk8/fT7Yx8CKAk8mweLvb096naLGfWjvox89KMfpXPnzqlljzzySOaLhA+DwcAsv+eee+juu+8efd/a2qJPfOITdO+999LS0lLu/YL4bG1t0YMPPkgPPvggruUBANfz4IBrebDY2tqiJ554gn7t135ttl9GHnrooVLaOXHiBL3yyiuj71tbW7S9vU1XXXVV5jbdbnfi5H31q1+lX/u1XyvlmEA8BoMBvfTSS1NfSMFsgOt5cMC1PFgMBoPS/t9stIHVl5tuuon29vboxRdfJCKiL3/5y/SWt7wl0y8CAAAAgObQ6P+t/+t//a/0R3/0R3TlyhV64YUX6POf/zw98MADdOrUKXrmmWfo1Vdfpfe97300NzdH999/P33mM5+h3d1dOnbsGN1///2xDx8AAAAAHjT6ZeRnf/Zn6Wd/9mfVsp//+Z9Pfb/55pvpt3/7t3Pvq9vt0rvf/e7CcS8QH1zLgwWu58EB1/JgUeb1bA0QvAMAAABARA6EZwQAAAAAswteRgAAAAAQFbyMAAAAACAqeBkBAAAAQFQanU1TJZgR+GCxs7NDjz32GH3/+9+nubk5ev/730+33nqrWve9730v3XDDDaM5j371V3+VXv/619d5uEDhRz/6ET366KO0vr5Oy8vLdN9999H1118/Ue/ZZ5+lz3/+8zQYDOiWW26hs2fPUruNuX6ahM+1fPHFF+ljH/sY/dRP/dRo3cMPP0zz8/N1Hy4w+IM/+AP65je/Sa+88gp9/OMfpxtuuEGtV/i5HBxSXnrppcH//b//d/CpT31q8J//83/OrLe/vz/4Z//snw2+/e1vDwaDweALX/jC4Hd+53dqOkrgy7//9/9+8Lu/+7uDwWAw+PGPfzw4e/bsYH19Xa37nve8Z7C1tVXn4QEPHnzwwcF/+S//ZTAYDAbPPffc4F/8i38xUefHP/7x4N577x28+uqrg/39/cFv/dZvDZ555pmajxRMw+dafvvb3x488MADNR8ZCOXFF18cXLhwYfBP/+k/Hfzwhz9U65TxXB7aMM2NN95I119/fa4Zgb/xjW9Qr9er4zCBJ1/72tfozJkzRER08uRJev3rX08vvPBC5KMCvly+fJleeukl+nt/7+8REdGtt95K58+fp/Pnz6fqff3rX6e3vOUtdNVVV1Gr1aI777yTvvrVr8Y4ZJCB77UEs8Eb3vAGOn78uFmnjOfy0IZpfMkzIzCoH3mdTp48SRcuXMis/+CDD1K/36dbbrmF3ve+99Hi4mIdhwkyuHjxIl199dUjWbfVatGJEyfowoULdPLkyVG90OsM6sf3WhIRvfzyy/TAAw/Q3Nwc3X777aMOBZgtynguD+zLSMwZgUH5TLueRJRSuaxr9OlPf5pOnDhB29vb9JnPfIb+8A//kM6ePVvuAYNgpqmUWj08i83E51qeOnWKHn/8cVpeXqaLFy/Sxz72MVpbW6O3ve1tNRwhKJuiz+WBfRmJOSMwKJ9p1/PEiRN0/vx5OnLkCBERvfLKK/TTP/3TmXWJiBYXF+nMmTP0e7/3e+UeLAjm+PHjdPHiRer3+9Rut2kwGNCFCxcmOg3uOjteeeUVKJQNw/daLi8vp7Z5+9vfTt/97nfxMjKDlPFcHlrPiC+YEXg2uO222+jpp58mIqLz58/Td77zHTp9+vREvY2NDdrZ2SEiov39ffra175Gp06dqvVYwSRHjx6lU6dO0Ve+8hUiInr++efp5MmTE7L+rbfeSt/4xjfo0qVLNBgM6Mtf/jL+82oYvtfy1Vdfpf39fSIadvL+8i//km688ca6DxeUQBnP5aGdm4bPCNzpdGhhYUGdEZiI6Hvf+97EjMDHjh2L/AsAZ3t7mx577DH6wQ9+QHNzc/RLv/RLdNtttxERpa7n9773PXriiSeo1WpRv9+nU6dO0a/8yq/Q6upq5F8AXn75ZXr00UdpY2ODlpaW6L777qO//tf/Oj3++ON0+vTp0cvln/3Zn9EXvvCFVAohOgfNwudafulLX6JnnnmG2u029ft9uu222+g973mPd7gO1MNnP/tZeuGFF+jSpUu0trZGi4uL9KlPfar05/LQvowAAAAAoBkgTAMAAACAqOBlBAAAAABRwcsIAAAAAKKClxEAAAAARAUvIwAAAACICl5GAAAAABAVvIwAAAAAICp4GQEAAABAVPAyAgCIzkc+8hH6T//pP42+/87v/A69973vpe3tbSIi+slPfkK/9Eu/RH/1V38V6xABABWClxEAQHSWl5dHLx4XLlyg//k//yctLS3RlStXiGg41PQtt9xC119/fczDBABUBF5GAADRWVlZGb2MfOlLX6Kf+ZmfoSNHjtCVK1eo1+vRn//5n9Ndd91FRETf/OY36UMf+hD983/+z+nP//zPYx42AKAk8DICAIjOysoKbW1t0fb2Nj377LN011130dLSEm1sbNB//+//nRYXF+nNb34z9ft9+nf/7t/Rv/yX/5IeeeQR+sIXvkAbGxuxDx8AUBC8jAAAouOUkb/4i7+gm2++ma699tpRmObpp5+mX/iFX6BWq0X/5//8H7r++uvp2LFjtLS0RH/n7/wd+h//43/EPnwAQEHwMgIAiI5TRv70T/90FI5ZWlqi7373u/TDH/6Qbr/9diIievXVV+nYsWOj7Y4fP04/+clPYhwyAKBE8DICAIjOysoKffvb36ZOp0NvetObiGhoan3mmWfoHe94By0uLhIR0WAwmNi21WrVeqwAgPLBywgAIDqrq6u0vb09UkWIhsrI7u4uvfOd7xytO3bsWEoJuXjxIl199dW1HisAoHxaA62rAQAADaTf79OHP/xhevDBB2lpaYkeeOABevjhh2ltbS32oQEACoCXEQDATPHCCy/Q5z73Odrf36d3vetddMcdd8Q+JABAQfAyAgAAAICowDMCAAAAgKjgZQQAAAAAUcHLCAAAAACigpcRAAAAAEQFLyMAAAAAiApeRgAAAAAQFbyMAAAAACAqeBkBAAAAQFTwMgIAAACAqOBlBAAAAABRwcsIAAAAAKLy/wPcY4dnW8SvlQAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6,6))\n", "plot_bivariate_gaussian(mean, cov, 200)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La distribuzione a priori è *coniugata* alla verosimiglianza $p(\\mathbf{t} \\lvert \\mathbf{w}, \\beta)$: cioè, la distribuzione a posteriori ha la stessa forma, dal punto di vista funzionale, della distribuzione a priori, in questa caso normale. Nel contesto considerato, la distribuzione a posteriori risulta essere una gaussiana con: \n", "\n", "$$\n", "p(\\mathbf{w} \\lvert \\mathbf{X}, \\mathbf{t}, \\alpha, \\beta) = \\mathcal{N}(\\mathbf{w} \\lvert \\mathbf{m}_p, \\mathbf{\\Sigma}_p) \n", "$$\n", "con\n", "\n", "\\begin{align*}\n", "\\mathbf{m}_p &= \\beta \\mathbf{\\Sigma}_p \\Phi^T \\mathbf{t} \\\\\n", "\\mathbf{\\Sigma}_p &= \\left(\\alpha\\mathbf{I} + \\beta \\Phi^T \\Phi\\right)^{-1}\n", "\\end{align*}\n", "\n", "con\n", "$$\n", "\\mathbf{m}_p = \\beta \\mathbf{\\Sigma}_p \\Phi^T \\mathbf{t} \n", "$$\n", "\n", "$$\n", "\\mathbf{\\Sigma}_p = \\left(\\alpha\\mathbf{I} + \\beta \\Phi^T \\Phi\\right)^{-1}\n", "$$\n", "\n", "\n", "Assumiamo per il momento che i valori di $\\alpha$ e $\\beta$ siano noti. Dato che la distribuzione a posteriori è proporzionale al prodotto tra verosimiglianza e distribuzione a priori, il suo logaritmo è pari (a meno di un termine additivo) alla somma della log-verosimiglianza e del logaritmo della distribuzione a priori\n", "\n", "$$\n", "\\log p(\\mathbf{w} \\lvert \\mathbf{X}, \\mathbf{t}, \\alpha, \\beta) = \n", "-\\beta E_D(\\mathbf{w}) - \\alpha E_W(\\mathbf{w}) + \\mathrm{const.} \n", "$$\n", "\n", "dove, come definito sopra,\n", "\n", "$$\n", "E_D(\\mathbf{w}) = \n", "{1 \\over 2} \\sum_{i=1}^{n}(t_i - \\boldsymbol\\phi(\\mathbf{x}_i)\\mathbf{w})^2 = \n", "{1 \\over 2} \\lVert \\mathbf{t} - \\boldsymbol\\Phi \\mathbf{w} \\rVert^2\n", "$$\n", "\n", "e inoltre\n", "\n", "$$\n", "E_W(\\mathbf{w}) = {1 \\over 2} \\mathbf{w}^T \\mathbf{w} =\n", "{1 \\over 2} \\lVert \\mathbf{w} \\rVert^2\n", "$$\n", "\n", "Massimizzare il logaritmo della distribuzione a posteriori rispetto a $\\mathbf{w}$ fornisce la stima _maximum-a-posteriori_ (MAP) di $\\mathbf{w}$. Questo equivale a minimizzare la funzione loss data dalla somma tra $E_D$ e un termine di regolarizzazione quadratico $E_W$. Questa particolare forma di regolarizzazione è nota come _regolarizzazione L2_ o *weight decay*, in quanto tende a limitare il valore in modulo dei parametri $w_j$. Il contributo del termine di regolarizzazione è determinato dal rapporto $\\alpha / \\beta$.\n", "\n", "Nel caso specifico considerato qui, dato che la distribuzione a posteriori risulta gaussiana la sua moda coincide con la media, per cui\n", "\n", "$$\n", "\\mathbf{w}^*_{MAP}=\\mathbf{m}_p=\\beta \\left(\\alpha\\mathbf{I} + \\beta \\Phi^T \\Phi\\right)^{-1} \\Phi^T \\mathbf{t}\n", "$$\n", "\n", "### Distribuzione predittiva\n", "\n", "La predizione del target $t$ relativo a un elemento $\\mathbf{x}$ viene effettuata per mezzo della distribuzione predittiva, definita come\n", "\n", "$$\n", "p(t \\lvert \\mathbf{x}, \\mathbf{X}, \\mathbf{t}, \\alpha, \\beta) = \n", "\\int{p(t \\lvert \\mathbf{x}, \\mathbf{w}, \\beta) p(\\mathbf{w} \\lvert \\mathbf{X}, \\mathbf{t}, \\alpha, \\beta) d\\mathbf{w}} \n", "$$\n", "\n", "La distribuzione predittiva tiene conto dell'incertezza sui valori dei parametri $\\mathbf{w}$ pesando la distribuzione condizionale $p(t \\lvert \\mathbf{x}, \\mathbf{w}, \\beta)$ calcolata per ogni valore dei parametri con la probabilità del valore dei parametri calcolata per mezzo della distribuzione a posteriori $p(\\mathbf{w} \\lvert \\mathbf{X}, \\mathbf{t}, \\alpha, \\beta)$ e sommando sull'intero spazio dei parametri. Usando la distribuzione predittiva è possibile ottenere per ogni elemento $\\mathbf{x}$ il valore atteso del target associato $t$, e inoltre una stima dell'incertezza di tale predizione. Nel caso considerato, la distribuzione a posteriori risulta anch'essa gaussiana\n", "\n", "$$\n", "p(t \\lvert \\mathbf{x}, \\mathbf{X}, \\mathbf{t}, \\alpha, \\beta) = \n", "\\mathcal{N}(t \\lvert \\boldsymbol\\phi(\\mathbf{x})\\mathbf{m}_p , \\sigma_n^2(\\mathbf{x}))\n", "$$\n", "\n", "dove il valore atteso $\\boldsymbol\\phi(\\mathbf{x})\\mathbf{m}_p $ è la stima del valore della funzione di regressione e $\\sigma_n^2(\\mathbf{x})$ è la corrispondente varianza predittiva\n", "\n", "$$\n", "\\sigma_n^2(\\mathbf{x}) = {1 \\over \\beta} + \\boldsymbol\\phi(\\mathbf{x}) \\mathbf{\\Sigma}_p \\boldsymbol\\phi(\\mathbf{x})^T\n", "$$\n", "\n", "Il primo termine dell'espressione precedente rappresenta il rumore intrinseco nei dati, mentre il secondo è relativo all'incertezza sui valori dei parametri $\\mathbf{w}$. Fino ad ora, abbiamo assunto che i valori di $\\alpha$ e $\\beta$ siano noti. \n" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "# massimizzazione della distribuzione a posteriori rispetto ai parametri\n", "def mpe(X, t, alpha, beta, args):\n", " Phi = expand(X, **args)\n", " Sigma_p_inv = alpha * np.eye(Phi.shape[1]) + beta * Phi.T@Phi\n", " Sigma_p = np.linalg.inv(Sigma_p_inv)\n", " m_p = beta * Sigma_p@(Phi.T)@t\n", " return m_p, Sigma_p" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "def posterior_predictive(X, m_p, Sigma_p, beta, args):\n", " Phi = expand(X, **args)\n", " y = Phi@m_p\n", " y_var = 1 / beta + np.diag(Phi@Sigma_p@Phi.T).reshape(-1,1)\n", " return y, y_var" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# funzione lineare\n", "# numero di esempi considerati per il calcolo della distribuzione a posteriori\n", "nexamples = 5\n", "# numero di modelli campionati dalla distribuzione a posteriori\n", "nsamples = 7\n", "# determina l'insieme di esempi considerati\n", "idx = random.sample(range(X.shape[0]), nexamples)\n", "X_s, t_s = X[idx], t1[idx]\n", "# applica funzioni base (identità in questo caso)\n", "args1 = {}\n", "# calcola distribuzione a posteriori dei parametri\n", "m_p, Sigma_p = mpe(X_s, t_s, alpha, beta, args1)\n", "# estrae insieme di modelli predittivi\n", "w_samples = np.random.multivariate_normal(m_p.ravel(), Sigma_p, nsamples)\n", "# calcola predizioni per tutti i punti della griglia\n", "pred, sigma_2 = posterior_predictive(x, m_p, Sigma_p, beta, args1)\n", "\n", "fig = plt.figure(figsize=(16,8))\n", "# plot della distribuzione a posteriori (bivariata)\n", "plt.subplot(1,3,1)\n", "plot_bivariate_gaussian(m_p, Sigma_p, 200)\n", "plt.subplot(1,3,2)\n", "# punti nel dataset\n", "plt.scatter(X, t1, s=20, color=colors[1])\n", "# punti effettivamente considerati \n", "plt.scatter(X_s, t_s, s=50, color=colors[4])\n", "# funzione reale\n", "plt.plot(x, y1.ravel(), linestyle='dashed', linewidth=2, color=colors[2])\n", "# funzioni predittive da sampling della distribuzione a posteriori\n", "for w in w_samples:\n", " plt.plot(x, np.dot(expand(x, **args1), w.reshape(-1,1)), linewidth=1)\n", "plt.subplot(1,3,3)\n", "plt.plot(x,pred, color=colors[3], label='predizione',linewidth=2)\n", "plt.scatter(X, t1, s=20, color=colors[1])\n", "plt.scatter(X_s, t_s, s=50, color=colors[4])\n", "# plot distribuzione predittiva\n", "plt.plot(x, y1, linestyle='dashed', linewidth=2, color=colors[2])\n", "plt.fill_between(x.ravel(), pred.ravel()-np.sqrt(sigma_2.ravel()), pred.ravel()+np.sqrt(sigma_2.ravel()), color=colors[8], alpha=.2)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# funzione sinusoidale\n", "# numero di esempi considerati per il calcolo della distribuzione a posteriori\n", "nexamples = 8\n", "# numero di modelli campionati dalla distribuzione a posteriori\n", "nsamples = 7\n", "# determina l'insieme di esempi considerati\n", "# determina l'insieme di esempi considerati\n", "idx = random.sample(range(X.shape[0]), nexamples)\n", "X_s, t_s = X[idx], t2[idx]\n", "# applica funzioni base (sigmoidali in questo caso)\n", "k = 10\n", "mus = np.linspace(-1, 1, k)\n", "args2 = {'bf': sigmoid_basis_function, 'bf_args_list':[{'mu':mu} for mu in mus]}\n", "\n", "# calcola distribuzione a posteriori dei parametri\n", "m_p, Sigma_p = mpe(X_s, t_s, alpha, beta, args2)\n", "# estrae insieme di modelli predittivi\n", "w_samples = np.random.multivariate_normal(m_p.ravel(), Sigma_p, nsamples)\n", "# calcola predizioni per tutti i punti della griglia\n", "pred, sigma_2 = posterior_predictive(x, m_p, Sigma_p, beta, args2)\n", "\n", "fig = plt.figure(figsize=(16,8))\n", "# plot della distribuzione a posteriori (bivariata)\n", "plt.subplot(1,2,1)\n", "# punti nel dataset\n", "plt.scatter(X, t2, s=20, color=colors[1])\n", "# punti effettivamente considerati \n", "plt.scatter(X_s, t_s, s=50, color=colors[4])\n", "# funzione reale\n", "plt.plot(x, y2.ravel(), linestyle='dashed', linewidth=2, color=colors[2])\n", "# funzioni predittive da sampling della distribuzione a posteriori\n", "for w in w_samples:\n", " plt.plot(x, np.dot(expand(x, **args2), w.reshape(-1,1)), linewidth=1)\n", "plt.subplot(1,2,2)\n", "plt.plot(x,pred, color=colors[3], label='predizione',linewidth=2)\n", "plt.scatter(X, t2, s=20, color=colors[1])\n", "plt.scatter(X_s, t_s, s=50, color=colors[4])\n", "# plot distribuzione predittiva\n", "plt.plot(x, y2, linestyle='dashed', linewidth=2, color=colors[2])\n", "plt.fill_between(x.ravel(), pred.ravel()-np.sqrt(sigma_2.ravel()), pred.ravel()+np.sqrt(sigma_2.ravel()), color=colors[8], alpha=.2)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Al crescere del numero di esempi considerati, la varianza - e quindi l'incertezza - delle predizioni diminuisce. Inoltre, regioni con meno osservazioni presentano una maggiore incertezza." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Verosimiglianza marginale e evidenza\n", "\n", "In un approccio completamente bayesiano, comunque, sarebbe necessario definire distribuzioni a priori anche per gli iperparametri $\\alpha$ e $\\beta$, utilizzando le corrispondenti distribuzioni a posteriori per tener conto nelle predizioni dell'incertezza rispetto ai loro valori. \n", "\n", "$$\n", "p(t \\lvert \\mathbf{x}, \\mathbf{X}, \\mathbf{t}, \\alpha, \\beta) = \n", "\\int{p(t \\lvert \\mathbf{x}, \\mathbf{w}, \\beta) p(\\mathbf{w} \\lvert \\mathbf{X}, \\mathbf{t}, \\alpha, \\beta) p(\\alpha) p(\\beta)d\\mathbf{w}}\\;d\\alpha\\;d\\beta\n", "$$\n", "\n", "Purtroppo, l'integrazione completa di tutti e tre i parametri (e iperparametri) $\\mathbf{w}$, $\\alpha$ e $\\beta$ rende il modello intrattabile dal punto di vista analitico, e costringendo all'utilizzo di soluzioni alternative, ottenute per mezzo di metodi approssimati. \n", "\n", "Delle stime di $\\alpha$ e $\\beta$ possono essere alternativamente ottenute mediante massimizzazione della `verosimiglianza marginale` (_marginal likelihood_), ottenute mediante integrazione dei parametri $\\mathbf{w}$ dalla verosimiglianza.\n", "\n", "$$\n", "p(\\mathbf{X}, \\mathbf{t} \\lvert \\alpha, \\beta) =\n", "\\int{p(\\mathbf{X}, \\mathbf{t} \\lvert \\mathbf{w}, \\beta) p(\\mathbf{w} \\lvert \\alpha) d\\mathbf{w}} \n", "$$\n", "\n", "Dato che $p(\\alpha, \\beta|\\mathbf{X}, \\mathbf{t})\\propto p(\\mathbf{X}, \\mathbf{t} \\lvert \\alpha, \\beta) p(\\alpha, \\beta)$, se assumiamo che la distribuzione a priori degli iperparametri $p(\\alpha,\\beta)$ sia uniforme, allora possiamo confrontare le probabilità della coppia $\\alpha, \\beta$ dato il dataset $\\mathbf{X}, \\mathbf{t}$ confrontando le rispettive verosimiglianze marginali\n", "\n", "$$\n", "\\frac{p(\\alpha_1, \\beta_1|\\mathbf{X}, \\mathbf{t})}{p(\\alpha_2, \\beta_2|\\mathbf{X}, \\mathbf{t})}=\\frac{p(\\mathbf{X}, \\mathbf{t}|\\alpha_1, \\beta_1)}{p(\\mathbf{X}, \\mathbf{t}|\\alpha_2, \\beta_2)}\n", "$$\n", "questo rapporto è denominato _Bayes factor_.\n", "\n", "Inoltre, dato che $p(\\mathbf{X}, \\mathbf{t} \\lvert \\alpha, \\beta)=p(\\mathbf{t} \\lvert \\mathbf{X}, \\alpha, \\beta)p(\\mathbf{t} \\lvert \\mathbf{X}, \\alpha, \\beta)$, se facciamo l'ipotesi comune che $\\mathbf{X}$ sia indipendente dal modello e dai suoi parametri e iperparametri, otteniamo \n", "\n", "$$\n", "p(\\mathbf{X}, \\mathbf{t} \\lvert \\alpha, \\beta)\\propto p(\\mathbf{t} \\lvert \\mathbf{X}, \\alpha, \\beta)\n", "$$ \n", "\n", "dove il secondo termine è la probabilità del target dati gli elementi, ottenuta integrando i parametri $\\mathbf{w}$ dalla verosimiglianza\n", "\n", "$$\n", "p(\\mathbf{t} \\lvert \\mathbf{X}, \\alpha, \\beta) =\n", "\\int{p(\\mathbf{t} \\lvert \\mathbf{X}, \\mathbf{w}, \\beta) p(\\mathbf{w} \\lvert \\alpha) d\\mathbf{w}} \n", "$$\n", "\n", "La distribuzione $p(\\mathbf{t} \\lvert \\mathbf{X}, \\alpha, \\beta)$ compare anche a denominatore (svolgendo il ruolo dell'_evidenza-) nella relazione, derivante dalla regola di Bayes\n", "\n", "$$\n", "p(\\mathbf{w} \\lvert \\mathbf{X}, \\mathbf{t}, \\alpha, \\beta) = \n", "{p(\\mathbf{t} \\lvert \\mathbf{X}, \\mathbf{w}, \\beta) p(\\mathbf{w} \\lvert \\alpha) \\over p(\\mathbf{t} \\lvert \\mathbf{X}, \\alpha, \\beta)} \n", "$$\n", "\n", "In questa situazione, possiamo confrontare le coppie di probabilità $\\alpha, \\beta$, dato il dataset $\\mathbf{X}, \\mathbf{t}$ confrontando le corrispondenti evidenze\n", "\n", "$$\n", "\\frac{p(\\alpha_1, \\beta_1|\\mathbf{X}, \\mathbf{t})}{p(\\alpha_2, \\beta_2|\\mathbf{X}, \\mathbf{t})}=\\frac{p(\\mathbf{t}|\\mathbf{X}, \\alpha_1, \\beta_1)}{p(\\mathbf{t}|\\mathbf{X}, \\alpha_2, \\beta_2)}\n", "$$\n", "\n", "L'eliminazione della presenza esplicita dei parametri mediante la loro integrazione rende direttamente comparabili modelli di diversa complessità, confrontando le loro evidenze sui dati del training set senza far ricorso a validation set.\n", "\n", "\n", "Nel contesto dei modelli gaussiani per distribuzione a priori e verosimiglianza considerati qui, il logaritmo dell'evidenza è dato da\n", "\n", "$$\n", "\\log p(\\mathbf{t} \\lvert \\mathbf{X}, \\alpha, \\beta) = \\frac{m}{2}\\log\\alpha + \\frac{n}{2}\\log\\beta -\n", "E(\\mathbf{m}_p)-\\frac{1}{2}\\log\\lvert\\mathbf{\\Sigma}_p^{-1}\\rvert - \\frac{n}{2}\\log\\frac{2}{\\pi} \\tag{18}\n", "$$\n", "\n", "dove\n", "\n", "$$\n", "E(\\mathbf{m}_p) = \\frac{\\beta}{2} \\lVert \\mathbf{t} - \\boldsymbol\\Phi \\mathbf{m}_p \\rVert^2 +\n", "\\frac{\\alpha}{2} \\lVert\\mathbf{m}_p\\rVert^2\n", "$$\n" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "# calcola la verosimiglianza marginale\n", "def log_marginal_likelihood(X, t, alpha, beta, args):\n", " Phi = expand(X, **args)\n", " n, m = Phi.shape\n", " m_p, Sigma_p = mpe(X, t, alpha, beta, args)\n", " Sigma_p_inv = np.linalg.inv(Sigma_p)\n", " E_D = beta * np.sum((t - Phi@m_p) ** 2)\n", " E_W = alpha * np.sum(m_p ** 2)\n", " score = m*np.log(alpha) + n*np.log(beta) - E_D - E_W - np.log(np.linalg.det(Sigma_p_inv)) - n*np.log(2*np.pi)\n", " return 0.5 * score" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Massimizzazione della verosimiglianza marginale\n", "\n", "L'approccio di stimare i valori degli iperparametri $\\alpha$ e $\\beta$ massimizzando rispetto ad essi la verosimiglianza marginale (o l'evidenza) prende il nome di _empirical Bayes_. E' possibile mostrare che il valore ottenuto è una buona approssimazione per un approccio completamente bayesiano se la distribuzione a posteriori di $\\alpha$ e $\\beta$ è fortemente concentrata intorno alla moda, mentre la distribuzione a priori è quasi uniforme. \n", "\n", "Integrare i parametri del modello, o anche usare una buona approssimazione per essi, ci permette di stimare i migliori valori di $\\alpha$ e $\\beta$, e quindi della fattore di regolarizzazione $\\alpha / \\beta$, direttamente dai soli dati di training, senza introdurre e utilizzare un validation set." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Cardinalità diverse dell'insieme delle funzioni di base gaussiane equidistanti sono confrontate sulla base della log-verosimiglianza marginale calcolata su un dataset di esempi. Assumiamo ancora che i valori di $\\alpha$ e $\\beta$ siano fissati." ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "beta = 1/(0.3 ** 2)\n", "alpha = 0.005\n", "\n", "nexamples = 20\n", "\n", "x0 = np.linspace(0, 1, 1000).reshape(-1, 1)\n", "y0 = g(x0, noise_variance=0).T\n", "\n", "X_ = np.random.rand(50, 1)\n", "X0 = X_[:nexamples]\n", "t0 = g(X0, noise_variance=1/beta)\n", "\n", "degree = 9\n", "degrees = range(degree + 1)\n", "\n", "m = 10\n", "rows = int(m/3)+1\n", "\n", "plt.figure(figsize=(18, 18))\n", "plt.subplots_adjust(hspace=0.4)\n", "for d in range(1, m+1):\n", " mus = np.linspace(x0[0], x0[-1], d+1)\n", " args0 = {'bf': gaussian_basis_function, 'bf_args_list':[{'mu':mus[k]+.5*(mus[k+1]-mus[k])} for k in range(len(mus)-1)]}\n", " m_p, Sigma_p = mpe(X0, t0, alpha, beta, args0)\n", " y, y_var = posterior_predictive(x0, m_p, Sigma_p, beta, args0)\n", " plt.subplot(rows, 3, d)\n", " plt.scatter(X0,t0, s=15, color=colors[1])\n", " plt.plot(x0,y0.ravel(), color=colors[2], linestyle='dashed')\n", " plt.plot(x0, y, color=colors[3])\n", " plt.fill_between(x0.ravel(),y.ravel()-y_var.ravel(),y.ravel()+y_var.ravel(), color=colors[8], alpha=.2)\n", " plt.title(f'Numero funzioni base = {d}')\n", " plt.ylim(-1.0, 2.0)" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mlls = []\n", "\n", "for d in range(1, m+1):\n", " mus = np.linspace(x0[0], x0[-1], d+1)\n", " args0 = {'bf': gaussian_basis_function, 'bf_args_list':[{'mu':mus[k]+.5*(mus[k+1]-mus[k])} for k in range(len(mus)-1)]}\n", " mll = log_marginal_likelihood(X0, t0, alpha, beta, args0)\n", " mlls.append(mll)\n", "\n", "degree_max = np.argmax(mlls)+1\n", "fig = plt.figure(figsize=(12,6))\n", "plt.plot(range(1,m+1), mlls, color=colors[6], linewidth=1)\n", "plt.axvline(x=degree_max, linestyle='dashed', color=colors[2], lw=1)\n", "plt.xticks(range(1, m))\n", "plt.xlabel('Numero di funzioni base gaussiane equidistanti')\n", "plt.ylabel('Log verosimiglianza marginale');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nel contesto considerato qui, la massimizzazione del logaritmo dell'evidenza (e della log-verosimiglianza marginale) rispetto a $\\alpha$ e $\\beta$ fornisce le seguenti soluzioni implicite\n", "\n", "\\begin{align*}\n", "\\alpha & = \\frac{\\gamma}{\\mathbf{m}_n^T \\mathbf{m}_n} \\\\\n", "\\frac{1}{\\beta} & = \\frac{1}{n-\\gamma} \\sum_{i=1}^{n}(t_i - \\mathbf{m}_n^T \\boldsymbol\\phi(\\mathbf{x}_i))^2 \n", "\\end{align*}\n", "\n", "con \n", "\n", "$$\n", "\\gamma = \\sum_{i=0}^{m-1} \\frac{\\lambda_i}{\\alpha+\\lambda_i} \n", "$$\n", "\n", "\n", "I valori $\\lambda_i$ sono gli autovalori della matrice $\\beta \\boldsymbol\\Phi^T \\boldsymbol\\Phi$. Le soluzioni sono implicite in quanto sia $\\alpha$ che $\\beta$ dipendono da $\\gamma$ e $\\gamma$ dipende sia da $\\alpha$ che da $\\beta$. Soluzioni per $\\alpha$ e $\\beta$ possono essere ottenute a partire da valori iniziali arbitrari per questi parametri, iterando poi le relazioni precedenti fino a convergenza." ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "def marginal_likelihood_maximization(X, t, args, alpha=1e-5, beta=1e-5, max_iter=200, rtol=1e-5, verbose=False):\n", " Phi = expand(X, **args)\n", " eigenvalues_0 = np.linalg.eigvalsh(Phi.T.dot(Phi))\n", " for i in range(max_iter):\n", " beta_prev = beta\n", " alpha_prev = alpha\n", " eigenvalues = eigenvalues_0*beta\n", " m_p, _ = mpe(X, t, alpha, beta, args)\n", " gamma = np.sum(eigenvalues/(eigenvalues + alpha))\n", " alpha = gamma/np.sum(m_p**2)\n", " beta_inv = 1/(Phi.shape[0]-gamma)*np.sum((t-Phi.dot(m_p))**2)\n", " beta =1/beta_inv\n", " if np.isclose(alpha_prev, alpha, rtol=rtol) and np.isclose(beta_prev, beta, rtol=rtol):\n", " if verbose:\n", " print(f'Convergenza dopo {i + 1} iterazioni.')\n", " return alpha, beta\n", " if verbose:\n", " print(f'Computazione fermata dopo {max_iter} iterazioni.')\n", " return alpha, beta" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Convergenza dopo 32 iterazioni.\n", "alpha* = 0.000604627328627508\n", "beta* = 10.580636775633948\n" ] } ], "source": [ "N = 30\n", "\n", "degree = 4\n", "\n", "Xc = np.linspace(0, 1, N).reshape(-1, 1)\n", "tc = g(Xc, noise_variance=0.3 ** 2)\n", "\n", "args = {'bf': polynomial_basis_function, 'bf_args_list':[{'power':k} for k in range(1, degree + 1)]}\n", "\n", "alpha, beta, = marginal_likelihood_maximization(Xc, tc, args, rtol=1e-5, verbose=True)\n", "print('alpha* = {}'.format(alpha))\n", "print('beta* = {}'.format(beta))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternativamente, possiamo usare _BayesianRidge_ di scikit-learn. I metodi `fit` e `predict` di quella classe corrispondono alle funzioni `mpe` e `posterior_predictive` definite sopra. L'implementazione di `BayesianRidge` è molto simile a quella introdotta sopra, eccetto il fatto che vengono utilizzate distribuzioni _Gamma_ come distribuzioni a priori degli iperparametri $\\alpha$ e $\\beta$. Di conseguenza, la probabilità a priori di tali parametri tende ad essere più elevata per valori piccoli. Nell'implementazione precedente, si procede semplicemente ad iniziare l'ottimizzazione da valori piccoli di $\\alpha$ e $\\beta$." ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Convergence after 31 iterations\n", "alpha* = 0.0006046207587834792\n", "beta* = 10.580646385639614\n" ] } ], "source": [ "from sklearn.linear_model import BayesianRidge\n", "Phi = expand(Xc, **args)\n", "br = BayesianRidge(fit_intercept=False, tol=1e-5, verbose=True)\n", "br.fit(Phi, tc.ravel())\n", "print('alpha* = {}'.format(br.lambda_))\n", "print('beta* = {}'.format(br.alpha_))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When comparing the results from our implementation with those from `BayesianRidge` we see that they are almost identical. In the following, inferred values for $\\alpha$, $\\beta$ and $\\mathbf{m}_N$ are compared as well as predictions and their uncertainties. Results prefixed with `np` are those from our implementation, results prefixed with `br` are those obtained with `BayesianRidge`." ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "X_test = np.random.rand(10)" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Prediction mean: [-0.42405728 1.23572454 -0.44413162 -0.55283939 1.04192281 1.71204114\n", " 1.67767419 1.24272632 -0.16777703 0.2386512 ]\n", "Prediction std: [[0.45106476]\n", " [0.37119682]\n", " [0.36277146]\n", " [0.42913913]\n", " [0.37385623]\n", " [0.38276366]\n", " [0.37929576]\n", " [0.37090917]\n", " [0.40242339]\n", " [0.74895511]]\n" ] } ], "source": [ "y_np_mean, y_np_var = posterior_predictive(X_test, m_p, Sigma_p, beta, args0)\n", "\n", "print('Prediction mean: {}'.format(y_np_mean.ravel()))\n", "print('Prediction std: {}'.format(np.sqrt(y_np_var)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Observe now that the expectation of the predictive distribution \n", "$$\n", "\\mathbf{\\phi}(\\mathbf{x})\\mathbf{m}_p=\\mathbf{\\phi}(\\mathbf{x})\\beta\\mathbf{\\Sigma}_p\\mathbf{\\Phi}^{T}\\mathbf{t}\n", "$$\n", "\n", "can be written also as\n", "$$\n", "\\mathbf{\\phi}(\\mathbf{x})\\mathbf{m}_p=\\beta\\mathbf{\\phi}(\\mathbf{x})\\mathbf{\\Sigma}_p\\mathbf{\\Phi}^{T}\\mathbf{t}=\\sum_{i=1}^{n}\\beta\\mathbf{\\phi}(\\mathbf{x})\\mathbf{\\Sigma}_p\\mathbf{\\phi}(\\mathbf{x}_{i})^Tt_{i}\n", "$$\n", "\n", "If we assume that the prediction $y(\\mathbf{x})$ for $\\mathbf{x}$ corresponds to this expectation, then it can be seen as a linear combination $\\sum_{i=1}^nw_it_i$ of the target values $t_i$ of the items in the training set, with weights $w_i=\\beta\\mathbf{\\phi}(\\mathbf{x})\\mathbf{\\Sigma}_p\\mathbf{\\phi}(\\mathbf{x}_{i})^T$ dependent from the item values $\\mathbf{x}_i$ (and from $\\mathbf{x}$).\n", "\n", "The weight function \n", "$$\n", "\\kappa(\\mathbf{x},\\mathbf{x}')=\\beta\\mathbf{\\phi}(\\mathbf{x})\\mathbf{\\Sigma}_p\\mathbf{\\phi}(\\mathbf{x}')^T\n", "$$\n", "is said *equivalent kernel*" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "def equiv_kernel(x1, x2, X, t, alpha, beta, args):\n", " phi_1 = expand(x1, **args)\n", " phi_2 = expand(x2, **args)\n", " _, Sigma_p = mpe(X, t, alpha, beta, args)\n", " return beta*phi_1@Sigma_p@(phi_2.T)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [], "source": [ "def predict_equiv_kernel(X_test, X, t, alpha, beta, args):\n", " phi_1 = expand(X_test, **args)\n", " phi_2 = expand(X, **args)\n", " _, Sigma_p = mpe(X, t, alpha, beta, args)\n", " return beta*phi_1@Sigma_p@(phi_2.T)@t" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "args = {}\n", "plt.figure(figsize=(12,8))\n", "plt.scatter(X, t1, s=15, color=colors[1])\n", "plt.plot(x, y1, linewidth=2, color=colors[2], linestyle='dashed', label='Funzione reale')\n", "plt.scatter(X_test, predict_equiv_kernel(X_test, X, t1, alpha, beta, args), color=colors[7], edgecolor=colors[5], marker='X')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "args = {}\n", "plt.figure(figsize=(12,8))\n", "plt.scatter(X, t2, s=20, color=colors[1])\n", "plt.plot(x, y2, linewidth=2, linestyle='dashed')\n", "plt.scatter(X_test, predict_equiv_kernel(X_test, X, t2, alpha, beta, args2), color=colors[7], edgecolor=colors[5], marker='X')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the images below the value of the equivalent kernel is reported in color (reddish color - higher value) for all pairs in the domain $(-1,1)\\times(-1,1)$ for different sets of base functions. It is possible to see that pairs with similar values (that is, points along the diagonal) tend to result into higher equivalent kernel values. As a consequence, when predicting $y(\\mathbf{x})$ the target values of points in the training set at smaller distance from $\\mathbf{x}$ receive higher weights: This corresponds to the application of a locality principle: nearby examples are more relevant for predictions." ] }, { "cell_type": "code", "execution_count": 239, "metadata": {}, "outputs": [], "source": [ "n_values = 200\n", "xx = np.linspace(-1, 1, n_values)\n", "yy = np.linspace(-1, 1, n_values)\n", "XX,YY = np.meshgrid(xx, yy)\n", "func=np.vectorize(lambda x,y:equiv_kernel(x,y,X,t1,alpha,beta,args1))\n", "Z=func(XX,YY)" ] }, { "cell_type": "code", "execution_count": 240, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(16,8))\n", "ax=fig.gca()\n", "imshow_handle = ax.imshow(Z, origin='lower', extent=(xx.min(),xx.max(), yy.min(), yy.max()), aspect='auto', alpha=.8)\n", "ax.set_xlabel('$x_1$', fontsize=12)\n", "ax.set_ylabel('$x_2$', fontsize=12)\n", "plt.xlim(-1,1)\n", "plt.ylim(-1,1)\n", "ax.xaxis.set_tick_params(labelsize=8)\n", "ax.yaxis.set_tick_params(labelsize=8)\n", "ax.grid(which='both', color='0.35')\n", "plt.suptitle(u'Equivalent kernel')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 241, "metadata": {}, "outputs": [], "source": [ "n_values = 200\n", "xx = np.linspace(-1, 1, n_values)\n", "yy = np.linspace(-1, 1, n_values)\n", "XX,YY = np.meshgrid(xx, yy)\n", "func = np.vectorize(lambda x,y:equiv_kernel(x,y,X,t2,alpha,beta,args2))\n", "Z = func(XX,YY)" ] }, { "cell_type": "code", "execution_count": 242, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(16,8))\n", "ax=fig.gca()\n", "imshow_handle = ax.imshow(Z, origin='lower', extent=(xx.min(),xx.max(), yy.min(), yy.max()), aspect='auto', alpha=.8)\n", "ax.set_xlabel('$x_1$', fontsize=12)\n", "ax.set_ylabel('$x_2$', fontsize=12)\n", "plt.xlim(-1,1)\n", "plt.ylim(-1,1)\n", "ax.xaxis.set_tick_params(labelsize=8)\n", "ax.yaxis.set_tick_params(labelsize=8)\n", "ax.grid(which='both', color='0.35')\n", "plt.suptitle(u'Equivalent kernel')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Equivalent kernel is a case of *nonparametric* model, a model where the prediction is not performed by applying a suitable parametric function on the feature domain. Instead, the prediction is now derived as a weighted linear combination of the target values in $\\mathbf{t}$. \n", "\n", "The weight associated to $t_i$ is defined in terms of a *similarity measure* between the corresponding item $\\mathbf{x}_i$ and the item $\\mathbf{x}$ whose target must be predicted.\n", "\n", "The similarity is defined in terms of a *kernel* function $\\kappa(\\mathbf{x}_i,\\mathbf{x})$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Kernel regression\n", "\n", "In kernel regression methods, the target value corresponding to any item $\\mathbf{x}$ is predicted by referring to items in the training set, and in particular to the items which are closer to $\\mathbf{x}$. This is controlled by referring to a *kernel* function $\\kappa_h(\\mathbf{x})$, which is non zero only in an interval around $0$.\n", "\n", "$h$ is the *bandwidth* of the kernel, which controls the width of $\\kappa_h(\\mathbf{x})$\n", "\n", "A possible, common kernel, is the gaussian (or RBF) kernel \n", "$$\n", "g(\\mathbf{x})=e^{-\\frac{{\\left\\lVert\\mathbf{x}\\right\\rVert}^2}{2h^2}}\n", "$$\n", "\n", " In regression, we are interested in estimating the conditional expectation\n", "$$\n", "f(\\mathbf{x})= E[{t|\\mathbf{x}}]=\\int tp(t|\\mathbf{x})dt=\\int t\\frac{p(\\mathbf{x},t)}{p(\\mathbf{x})}dt=\\frac{\\int t\\;p(\\mathbf{x},t)dt}{p(\\mathbf{x})}=\\frac{\\int t\\;p(\\mathbf{x},t)dt}{\\int p(\\mathbf{x},t)dt}\n", "$$\n", "\n", "By approximating the joint distribution through the kernel\n", "$$\n", " p(\\mathbf{x},t)\\approx\\frac{1}{n}\\sum_{i=1}^n\\kappa_h(\\mathbf{x}-\\mathbf{x}_i)\\kappa_h(t-t_i)\n", "$$\n", "this results into\n", "$$\n", " f(\\mathbf{x})=\\frac{\\sum_{i=1}^n\\kappa_h(\\mathbf{x}-\\mathbf{x}_i)t_i}{\\sum_{i=1}^n\\kappa_h(\\mathbf{x}-\\mathbf{x}_i)}\n", "$$\n", "\n", "By setting\n", "$$\n", "w_i(\\mathbf{x})=\\frac{\\kappa_h(\\mathbf{x}-\\mathbf{x}_i)}{\\sum_{j=1}^n\\kappa_h(\\mathbf{x}-\\mathbf{x}_j)}\n", "$$\n", "we can write\n", "$$\n", "f(\\mathbf{x})=\\sum_{i=1}^nw_i(\\mathbf{x})t_i\n", "$$\n", "that is, the predicted value is computed as a normalized linear combination of all target values, weighted by kernels." ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [], "source": [ "def kernel(x, X, sigma):\n", " dist_mat = cdist(X, x, 'minkowski', p=2.)\n", " return np.exp((-0.5 / (sigma ** 2)) * (dist_mat ** 2))" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [], "source": [ "def predict_kernel(x, X, t, h, args):\n", " weights = kernel(expand(x, **args), expand(X, **args), h)\n", " y = (weights*t).sum(axis=0)/weights.sum(axis=0)\n", " if np.isscalar(x):\n", " return y.item()\n", " else:\n", " return y" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "args = {}\n", "h = .05\n", "fig = plt.figure(figsize=(16,8))\n", "plt.scatter(X, t1, s=20, color=colors[1])\n", "plt.plot(x, predict_kernel(x,X, t1, h, args), linewidth=2, color=colors[6], label='Predizioni')\n", "plt.plot(x, y1, linewidth=2, color=colors[2], linestyle='dashed', label='Funzione reale')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "k = 10\n", "mus = np.linspace(-1, 1, k)\n", "args = {'bf': sigmoid_basis_function, 'bf_args_list':[{'mu':mu} for mu in mus]}\n", "h = .1\n", "\n", "fig = plt.figure(figsize=(16,8))\n", "plt.scatter(X, t2, s=20, color=colors[1])\n", "plt.plot(x, predict_kernel(x, X, t2, h, args), linewidth=2, color=colors[6], label='Predictions')\n", "plt.plot(x, y2, linewidth=2, color=colors[2], linestyle='dashed', label='Real function')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The best value for the bandwidth $h$ can be computed by selecting, in a given set of possible values, the one that result in the best predictions for a given set of items. Here, the items in the training set is considered." ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [], "source": [ "def select_bandwidth(X, t, hs, args):\n", " mse = []\n", " for h in hs:\n", " XX = expand(X, **args)\n", " weights = kernel(XX, XX, h)\n", " weights = weights - np.diag(np.diag(weights))\n", " y = (weights*t).sum(axis=0)/weights.sum(axis=0)\n", " mse.append(((y[:, np.newaxis] - t) ** 2).mean())\n", " return hs[np.argmin(mse)]" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "args = {}\n", "hs=np.linspace(0.1, 1, 10)\n", "h_star = select_bandwidth(X, t1, hs, args)\n", "fig = plt.figure(figsize=(16,8))\n", "plt.scatter(X, t1, s=20, color=colors[1])\n", "plt.plot(x, predict_kernel(x,X, t1, h_star, args), linewidth=2, color=colors[6], label=f'Predictions: $h^*={h_star:3.2f}$')\n", "plt.plot(x, y1, linewidth=2, color=colors[2], linestyle='dashed', label='Real function')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "k = 10\n", "mus = np.linspace(-1, 1, k)\n", "args = {'bf': sigmoid_basis_function, 'bf_args_list':[{'mu':mu} for mu in mus]}\n", "\n", "hs = np.linspace(0.1, 1, 10)\n", "h_star = select_bandwidth(X, t2, hs, args)\n", "\n", "fig = plt.figure(figsize=(16,8))\n", "plt.scatter(X, t2, s=20, color=colors[1])\n", "plt.plot(x, predict_kernel(x, X, t2, h_star, args), linewidth=2, color=colors[6], label=f'Predictions: $h^*={h_star:3.2f}$')\n", "plt.plot(x, y2, linewidth=2, color=colors[2], linestyle='dashed', label='Real function')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Locally weighted regression\n", "\n", "Locally weighted regression (LOESS) improves that approach by referring to a weighted version of the sum of squared differences loss function used in regression. \n", "\n", "\n", "If a value $t$ has to be predicted for an item $\\mathbf{x}$, a _local_ version of the loss function is considered, \n", "\n", "$$\n", "L(\\mathbf{x})=\\sum_{i=1}^n\\kappa_i(\\mathbf{x})(\\mathbf{w}^T\\overline{\\mathbf{x}}_i-t_i)^2\n", "$$\n", "\n", "the weight $\\kappa_i(\\mathbf{x})$ is dependent from the _distance_ between $\\mathbf{x}$ and $\\mathbf{x}_i$, as defined by the kernel \n", "$$\\kappa_i(\\mathbf{x})=\\kappa_h(\\mathbf{x}-\\mathbf{x}_i)$$" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [], "source": [ "def kernel(x,xi,h):\n", " return np.exp(np.sum((xi - x) ** 2, axis=1) / (-2 * h * h))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The minimization of this loss function \n", "$$\n", "\\hat{\\mathbf{w}}(\\mathbf{x})=\\argmin{\\mathbf{w}}\\sum_{i=1}^n\\kappa_h(\\mathbf{x}-\\mathbf{x}_i)(\\mathbf{w}^T\\overline{\\mathbf{x}}_i-t_i)^2\n", "$$\n", "has solution\n", "$$\n", "\\hat{\\mathbf{w}}(\\mathbf{x}) = (\\overline{\\mathbf{X}}^T\\Psi(\\mathbf{x})\\overline{\\mathbf{X}})^{-1}\\overline{\\mathbf{X}}^T\\Psi(\\mathbf{x})\\mathbf{t}\n", "$$\n", "\n", "where $\\Psi(\\mathbf{x})$ is a diagonal $n\\times n$ matrix with $\\Psi(\\mathbf{x})_{ii}=\\kappa_h(\\mathbf{x}-\\mathbf{x}_i)$\n", "\n", "\n", "$$\n", "\\Psi(\\mathbf{x}) = \n", "\\begin{pmatrix}\n", "\\kappa_h(\\mathbf{x}-\\mathbf{x}_1) & 0 & \\cdots & 0 \\\\ \n", "0 & \\kappa_h(\\mathbf{x}-\\mathbf{x}_2) & \\cdots & 0 \\\\\n", "\\vdots & \\vdots & \\ddots & \\vdots \\\\\n", "0 & 0 & \\cdots & \\kappa_h(\\mathbf{x}-\\mathbf{x}_n)\n", "\\end{pmatrix}\n", "$$" ] }, { "cell_type": "code", "execution_count": 252, "metadata": {}, "outputs": [], "source": [ "def diag_kernel(x, X, h):\n", " return np.diag(kernel(X,x,h))" ] }, { "cell_type": "code", "execution_count": 253, "metadata": {}, "outputs": [], "source": [ "def local_regression_coeffs(x, X, t, h):\n", " psi = diag_kernel(x, X, h)\n", " X_ext = np.c_[np.ones(len(X)), X]\n", " return np.linalg.pinv((X_ext.T @ psi) @ X_ext) @ X_ext.T @ psi @ t" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "The prediction is then performed as usual, as\n", "$$\n", "y = \\overline{\\mathbf{x}}\\hat{\\mathbf{w}}(\\mathbf{x})\n", "$$" ] }, { "cell_type": "code", "execution_count": 254, "metadata": {}, "outputs": [], "source": [ "def local_regression(x, X, t, h):\n", " x_ext = np.r_[1, x]\n", " w = local_regression_coeffs(x, X, t, h)\n", " return x_ext @ w" ] }, { "cell_type": "code", "execution_count": 256, "metadata": {}, "outputs": [ { "data": { "image/png": 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arggLJMODSgAAgEREOAgAAICUcbS9Wy09/ZIG1hs0DCPuNVxeXqihV/0Lm5IAAIAERzgIAACAlBG53mChLTWMyXJpcnGeJGl3U5v6/AFb6gAAABgJwkEAAACkjJ2NbaHjK2xYb3DI0FqHvqCpOm+7bXUAAABcCOEgAAAAUsbOxtbQcU1ZgW11XD64Y7Ek7TzZalsdAAAAF0I4CAAAgJRgmqZ2DY4c9ORkqSw327ZaasoKQ8e7mtrOfSIAAIDNCAcBAACQEk509OhU78BmJDPLCmzZjGTI9NIxoU1JdoWNZgQAAEg0hIMAAABICeEj9MJH7tkhL9OlSYW5kqQ93nb5g0Fb6wEAADgXwkEAAACkhPC1/WaW2rfe4JChgLIvENTBlk57iwEAADgHp9Un1NfXa+XKlero6FBOTo6WLVumqqqqiHNM09TTTz+t7du3KyMjQ/n5+fqHf/gHVVRURK1wAAAAIFz4yMHLbR45KA1Mbf7ffcclDUwtvswzxuaKAAAAzmR55OCaNWu0YMECPf7447r11lu1atWqM87ZunWr6urq9PWvf12PPfaYampq9Mwzz0SlYAAAAOBshnYqHpPl1PiCHHuLkTQzLKDc2cimJAAAIDFZCgfb2tp0+PBhzZs3T5I0d+5cNTY2qrGx8YxzfT6ffD6fTNNUT0+PSkpKolMxAAAAcBpvd58aOnslSTNKC23djGRI+NTmXU2t9hUCAABwHpamFTc3N6uoqEgOh0OSZBiGPB6PvF6vysrKQufNnj1bu3bt0pIlS5Sdna3i4mI99NBDZ73mUIg4xDAMud3u0HEqGnpfqfr+EH30DKyiZ2AVPQMrErFfdkdsRmLvTsVDPLnZqsjLVkNnr3Y3tUtKrJ9ZPCVizyCx0TOwip6BVfTMMMtrDo7kh3b48GGdOHFCq1evltvt1jPPPKMf/OAHWrZs2Rnnrl27Vs8991zocXV1tVasWKHS0lKrpSUd1mCEVfQMrKJnYBU9AysSqV+O1NWHjq+bOkljx461sZphs8eX63d176q9z6ferFxNLrF/oxQ7JVLPIDnQM7CKnoFV9IzFcLCkpETNzc0KBAJyOBwyTVNer1cejyfivP/7v//TzJkzlZubK0l6//vfr0cfffSs17z99tu1cOHC0OOh8LGpqUl+v9/Sm0kWhmGooqJCDQ0NMk3T7nKQBOgZWEXPwCp6BlYkYr+8dvBo6Hhc5sAmeong0gJ36PiVnfvlnjrOxmrsk4g9g8RGz8AqegZWpXrPOJ3OEQ+8sxQOFhQUqLq6Whs2bND8+fO1ZcsWlZWVRUwplqTy8nK99dZbuuWWW+R0OrVt2zaNHz/+rNd0uVxyuVxn/V4q/nLCmaaZ8u8R0UXPwCp6BlbRM7Aikfplj3dg2m6mI0OTi3ITpq6ZpcM7FO9sbNWHp1TaWI39EqlnkBzoGVhFz8AqemYU04qXLFmilStXau3atXK73aGpwqtXr1Ztba1qa2t1880369ixY/rsZz8rp9OpoqIi/f3f/33UiwcAAAB6/QEdPtUpSbq0OF/ODEt77sXU9LBNSfYOBpgAAACJxHI4WFlZqeXLl5/x9aVLl4aOXS5XxGMAAAAgVg60dCgw+Bf/6Z4xFzg7vqrG5CjX5VSXz686wkEAAJCAEufPqgAAAMAo7GkaDt0uS7BwMMMwNNWTL0k61t6tzn6fzRUBAABEIhwEAABAUtvTPBwOTkuwcFCSpnvCpxZ32FgJAADAmQgHAQAAkNTC1/KbFhbEJYrw0YysOwgAABIN4SAAAACSWl1TmySpKDtTZblZNldzpvDRjHXeNhsrAQAAOBPhIAAAAJJWc3efmrr7JEnTSsfIMAybKzrTNEYOAgCABEY4CAAAgKS1J3xKcUnirTcoSYXZmSrPzZY0UK85uLMyAABAIiAcBAAAQNIKH4mXaDsVh5tWOlBbW59PJ7t6ba4GAABgGOEgAAAAklb4Gn7TSxNvM5Ih4aMa65qYWgwAABIH4SAAAACS1tDIQUPS1JJ8e4s5D9YdBAAAiYpwEAAAAEkpEDS1r7lDkjSxMFc5LqfNFZ1b+JTnPexYDAAAEgjhIAAAAJLSkbYu9fgDkhJ7vUFJurQ4X47BnZT3NjNyEAAAJA7CQQAAACSl8J2Kpyd4OJjldGhyUZ4k6UBLp3yBoM0VAQAADCAcBAAAQFIKn56b6CMHpeF1B/sDQR0+1WlzNQAAAAMIBwEAAJCUwkcOTvMk7k7FQyLWHWRqMQAASBCEgwAAAEhKQ+FgttOhiQW5NldzYdMiNiUhHAQAAImBcBAAAABJp9vn17utXZKkqSX5cmQYNld0YeEjB/cSDgIAgARBOAgAAICks7+5Q+bg8bQkWG9QkqrG5Cgv0ykpcr1EAAAAOxEOAgAAIOnUhYVryRIOZhiGppYM1HqsvUcdfT6bKwIAACAcBAAAQBIKn5Z7WRJsRjIkPMjcy6YkAAAgARAOAgAAIOnUhYWD05Nk5KDEuoMAACDxEA4CAAAgqZimqT1NA8FaaU6WSnKybK5o5MJHDtYRDgIAgARAOAgAAICk0tjVp1O9/ZKSZ73BIdMYOQgAABIM4SAAAACSyv6wtfqmJlk4WJidqYq8bEnSHm+7TNO8wDMAAABii3AQAAAASWVfc0foeGpJvo2VjM7QuoPtfT41dPbaXA0AAEh3hIMAAABIKvvCRw6WJNfIQSmy5n3sWAwAAGxGOAgAAICksr9leOTglOLkGzkYPtoxfBQkAACAHQgHAQAAkDRM0wwFamPz3MrPctlckXWMHAQAAImEcBAAAABJo7GrV+19PknJud6gFDnacT8jBwEAgM0IBwEAAJA0wqfhTknScDA306mqMTmSBqZIs2MxAACwE+EgAAAAksb+iJ2Kk28zkiFDox47+/060dFjczUAACCdEQ4CAAAgaYSv0ZesIwel09cdZGoxAACwD+EgAAAAkkbEtOIk3Kl4SOSOxWxKAgAA7EM4CAAAgKRgmqb2twyEg5X5yblT8ZDwkYNsSgIAAOxEOAgAAICkEL5TcTJPKZakS4vzZAweM3IQAADYiXAQAAAASSFVphRLktvl1PiC4R2Lg+xYDAAAbEI4CAAAgKQQPsIumXcqHjL0Hrp9AR1v77a5GgAAkK4IBwEAAJAUwtfmm5rk04ql0zclYd1BAABgD8JBAAAAJIWIacUpEA5OCRv9yLqDAADALoSDAAAASHgDOxUPBGiV+W7lZSbvTsVDLmPkIAAASACEgwAAAEh4J7t61d7nl5QaowYl6ZLifGUMblnMyEEAAGAXwkEAAAAkvMj1BpN/MxJJynY6NLEgV5J0oKWTHYsBAIAtCAcBAACQ8CJ3Kk6NkYPScNDZ6w/oaBs7FgMAgPgjHAQAAEDCi9iMpDh1wsEpEesOMrUYAADEH+EgAAAAEl6q7VQ8ZGrEjsVsSgIAAOKPcBAAAAAJzTRNHRjcqXhciuxUPGQqIwcBAIDNCAcBAACQ0CJ3Kk6NzUiGTC7Kk8MY2LKYkYMAAMAOhIMAAABIaKk6pViSspwOTSoc2LH4YEuHAkF2LAYAAPHltPqE+vp6rVy5Uh0dHcrJydGyZctUVVV1xnlHjhzRU089pba2NgWDQd1zzz2aO3duVIoGAABA+kjVnYqHTCnJ18FTneoLBHWkrUvVRXl2lwQAANKI5XBwzZo1WrBggebPn6/Nmzdr1apVWr58ecQ5fX19+sY3vqFly5Zp2rRpCgQC6urqilrRAAAASB/7w0YOTk2xacXSwHt64UC9pIEglHAQAADEk6VpxW1tbTp8+LDmzZsnSZo7d64aGxvV2NgYcd7GjRs1ZcoUTZs2TZLkcDg0ZkzqfZADAABA7IVPK760OPWCs8vCAs+9rDsIAADizNLIwebmZhUVFcnhcEiSDMOQx+OR1+tVWVlZ6Lxjx44pMzNTX/va19Tc3KyJEyfq7/7u784aEPp8Pvl8vtBjwzDkdrtDx6lo6H2l6vtD9NEzsIqegVX0DKyIZ7+Ypqn9zcM7FednZcb8NeNtqmf4M/L+5o6U/PeQewysomdgFT0Dq+iZYZanFY/khxYIBPTWW29p+fLlKioq0rPPPqsnn3xS999//xnnrl27Vs8991zocXV1tVasWKHS0lKrpSWdiooKu0tAkqFnYBU9A6voGVgRj3451tqpjv6BnYovH1eqsWPHxvw1462ktEzOjFfkDwZ1qK07Jd/jEO4xsIqegVX0DKyiZyyGgyUlJWpublYgEJDD4ZBpmvJ6vfJ4PBHneTwezZw5U8XFxZKkefPm6dFHHz3rNW+//XYtXLgw9HgofGxqapLf77f0ZpKFYRiqqKhQQ0ODTJMd6XBh9AysomdgFT0DK+LZL5veORk6npibqfr6+pi+nl2qi3K1v7lD+5padfT4cTkzLK3+k/C4x8AqegZW0TOwKtV7xul0jnjgnaVwsKCgQNXV1dqwYYPmz5+vLVu2qKysLGJKsSRde+21euWVV9Td3a2cnBzt2LFDEydOPOs1XS6XXC7XWb+Xir+ccKZppvx7RHTRM7CKnoFV9AysiEe/7A3bqXhKSX7K9ufU4nztb+5QfyCow6c6dWlx6u3KLHGPgXX0DKyiZ2AVPTOKacVLlizRypUrtXbtWrndbi1btkyStHr1atXW1qq2tlYej0e33XabvvzlL8vhcKi4uFhLliyJevEAAABIbeGbkUxJwZ2Kh0wtGaPf7T8haWDH4lQNBwEAQOKxHA5WVlZq+fLlZ3x96dKlEY/f//736/3vf//oKwMAAEDa2xc+cjCFA7MpJcPvbX9zhzTFxmIAAEBaSa3FTAAAAJAyTNPUgcGRg1Vj3MrNtPx37aQxNWxUZPhoSQAAgFgjHAQAAEBCaujsDe1UnMpTiiVpUmGuXBkDG/OFj5YEAACINcJBAAAAJKR0mVIsSS5HhiYXDbzHw6c65QsEba4IAACkC8JBAAAAJKT9LcPTa6eWpHY4KA2/R1/Q1OHWTpurAQAA6YJwEAAAAAkpfO29qSk+rViSpnqG3+N+1h0EAABxQjgIAACAhBQ+rfjSFJ9WLEWOjtzrZd1BAAAQH4SDAAAASDjptFPxEHYsBgAAdiAcBAAAQMKp7+wJ7VScDlOKJWliQa6yHAMfz/e1MHIQAADEB+EgAAAAEs5eb3qtNyhJjgxDlxTnSZLeOdWlPn/A5ooAAEA6IBwEAABAwglfb/CyNNipeMiUwSA0YLJjMQAAiA/CQQAAACSc8HBwSpqMHJQiNyVh3UEAABAPhIMAAABIOEPBmCFpShqNHIzclIR1BwEAQOwRDgIAACChBE0zFA5OLMxVttNhc0Xxw8hBAAAQb4SDAAAASChH27rVO7gZx2VpNKVYksaPGd6xeD/hIAAAiAPCQQAAACSU8Om0Uz3pM6VYGtix+NLB0YPvtHaGQlIAAIBYIRwEAABAQtkbHg6m2chBaXi0ZNCUDp1ix2IAABBbhIMAAABIKOFr7aXbtGLp9HUH2ZQEAADEFuEgAAAAEso+70Ag5swwVF2UZ3M18RexY7GXdQcBAEBsEQ4CAAAgYfiDQR0cnEpbXZinTEf6fVydwshBAAAQR+n3aQsAAAAJ653WLvUHgpIip9emk6oxOXI7HZIip1gDAADEAuEgAAAAEkb4SLnLPOm33qAkZRhGaPTgkbYu9fj8NlcEAABSGeEgAAAAEkb4GntT0nTkoDQ8atKUdKCFHYsBAEDsEA4CAAAgYewNHzmYhjsVD5kS9t73s+4gAACIIcJBAAAAJIyhNfayHBmaWJhrczX2mRqxKQnrDgIAgNghHAQAAEBC6PMHdHhwp+JLivPkzEjfj6pTw0YOsmMxAACIpfT9xAUAAICEcri1UwHTlBQZjqWjcflu5bqckhg5CAAAYotwEAAAAAlhb9hmJOkeDhqGEZpafLS9W93sWAwAAGKEcBAAAAAJYV/EZiTpu1PxkPDdmg8wehAAAMQI4SAAAAASQng4mO4jB6XT1x0kHAQAALFBOAgAAICEMBSAuZ0OVRXk2FyN/cJ3LN7LpiQAACBGCAcBAABgux6fX++2dkkamE6bYRg2V2Q/Rg4CAIB4IBwEAACA7Q60dMocPL6MKcWSpIq8bOVnDuxYvJ+RgwAAIEYIBwEAAGC78PUGp7AZiaSBHYunDAalxzt61Nnvs7kiAACQiggHAQAAYLs6b9hOxR5GDg4JX3dwP1OLAQBADBAOAgAAwHZ7mtpCx9M9BTZWkljCp1izKQkAAIgFwkEAAADYbmjkYIk7U2W5WTZXkzimlQ6Hg3VNhIMAACD6CAcBAABgq6auXnm7+yRJ0zwFMtipOCR8FGVd2OhKAACAaCEcBAAAgK3C1xucXsp6g+GK3JmqyMuWJNV522Sa5gWeAQAAYA3hIAAAAGy1m/UGz2t66cDPpL3Pr+MdPTZXAwAAUg3hIAAAAGwVsRkJIwfPMCMsMN3D1GIAABBlhIMAAACw1dC0YmeGoUuL822uJvGEB6a7vWxKAgAAootwEAAAALbp8wd0oKVDknRJUb6ynA6bK0o8Q9OKJTYlAQAA0Uc4CAAAANscPNUpf3Bgkw2mFJ/dpMJcZTkGPrYTDgIAgGgjHAQAAIBt6iLWG2QzkrNxZmToMs9AcPpOa5e6fX6bKwIAAKmEcBAAAAC2idypmJGD5zIUnJqS9rDuIAAAiCLCQQAAANgmPOhi5OC5hQenTC0GAADRRDgIAAAAW5imGQq6StyZKs3JsrmixDUjfFMSRg4CAIAoclp9Qn19vVauXKmOjg7l5ORo2bJlqqqqOuu5/f39euCBB5SVlaWvfe1rF10sAAAAUkdjV5+ae/olDYwaNAzD5ooS1zRGDgIAgBixPHJwzZo1WrBggR5//HHdeuutWrVq1TnPffbZZzV16tSLKhAAAACpaY+XzUhGqiA7U+Py3ZIGpmIHTdPmigAAQKqwFA62tbXp8OHDmjdvniRp7ty5amxsVGNj4xnn1tXVqb6+Xtdff310KgUAAEBKqWsKW2+QzUguaChA7ez361hbt83VAACAVGFpWnFzc7OKiorkcDgkSYZhyOPxyOv1qqysLHReb2+vfvSjH+mBBx5QfX39ea/p8/nk8/lCjw3DkNvtDh2noqH3larvD9FHz8AqegZW0TOwIlr9Uhc2cnBGWSH9dwEzSgv08qEGSQPrDk4syrO5opHjHgOr6BlYRc/AKnpmmOU1B0fyQ3v66ad18803q7i4+ILh4Nq1a/Xcc8+FHldXV2vFihUqLS21WlrSqaiosLsEJBl6BlbRM7CKnoEVF9sv+1sHRr85MzI0b8YUZTod0SgrZV07tVvf3rJXknS0N6CxY8faXJF13GNgFT0Dq+gZWEXPWAwHS0pK1NzcrEAgIIfDIdM05fV65fF4Is7bs2ePtm/frl/+8pfq7+9XV1eX7r//fv3Xf/3XGde8/fbbtXDhwtDjofCxqalJfr9/NO8p4RmGoYqKCjU0NMhkvRiMAD0Dq+gZWEXPwIpo9EufP6C9jackSZcW56m56cxlahBprDMYOn790PEL/hE+kXCPgVX0DKyiZ2BVqveM0+kc8cA7S+FgQUGBqqurtWHDBs2fP19btmxRWVlZxJRiSXrsscdCx7t27dJPfvKTc+5W7HK55HK5zvq9VPzlhDNNM+XfI6KLnoFV9AysomdgxcX0y/7mdvmDA8+d7hlD343AhIIcuZ0O9fgD2t3UlpQ/M+4xsIqegVX0DKyiZ0axW/GSJUu0bt06feYzn9Hzzz+vpUuXSpJWr16trVu3Rr1AAAAApJ6IzUjYqXhEMgxD0wY3bjna3q2OPt8FngEAAHBhltccrKys1PLly8/4+lBIeLqZM2eec9QgAAAA0tPusM1ICAdHbnppgbY3DEzH3uNt15xxJTZXBAAAkp3lkYMAAADAxdoTPnJwcDQcLmx66fDPKny3ZwAAgNEiHAQAAEBcmaYZCrY8OVkqzc22uaLkMd0zPMoyfGo2AADAaBEOAgAAIK7qO3vU0tMvSZrBlGJLIkYONjFyEAAAXDzCQQAAAMTVzsbhUOvyskL7CklCeZkuTSzIlSTVedvlDwZtrggAACQ7wkEAAADE1c6TraHjmWWMHLSqZvBn1usP6GBLp83VAACAZEc4CAAAgLh6u7E1dHx5eaFtdSSrmrDRljvDfpYAAACjQTgIAACAuBqaVlyQ5dL4MTk2V5N8wgPVt8NGYQIAAIwG4SAAAADi5mRnrxq7eiUNjIAzDMPmipJP+MjBtxk5CAAALhLhIAAAAOImfBpsDesNjkqRO1NVY9ySpN1NbQoETZsrAgAAyYxwEAAAAHGzk/UGo2Jo9GC3L6BDp9iUBAAAjB7hIAAAAOJm1+B6g1Lk9FhYE7HuIFOLAQDARSAcBAAAQNwMBVl5mU5NLMy1t5gkdjk7FgMAgCghHAQAAEBcNHf36URHj6SB9QYz2Ixk1MJHXe5kx2IAAHARCAcBAAAQF+HTX2cypfiilORkqTJ/YFOSXU1tCppsSgIAAEaHcBAAAABx8VbDqdDxlRVFNlaSGoamFnf2+9mUBAAAjBrhIAAAAOIiPBycVU44eLGuqCgMHf8l7GcLAABgBeEgAAAAYs40Tb01uDZeYbZLEwpy7C0oBVwZFrDuOEk4CAAARodwEAAAADF3vKNH3u4+SdKsiiIZbEZy0S4vLwwdv9XQalsdAAAguREOAgAAIOaYUhx9BdmZuqQoT5K0u6lNff6AzRUBAIBkRDgIAACAmNvBZiQxMfSz7A8EVedtt7kaAACQjAgHAQAAEHPhIwevCJsOi4szKyxo3cGmJAAAYBQIBwEAABBTgaCptxtbJUnj8t0qzc22t6AUEj4K8y3CQQAAMAqEgwAAAIipAy0d6vYNrIc3iynFUTXNM0aZjoGP9ISDAABgNAgHAQAAEFPh010JB6Mry+nQjNICSdLBU51q6+23uSIAAJBsCAcBAAAQU9vrW0LHbEYSfeE/07+cbLWvEAAAkJQIBwEAABBT2wbDQYdhaBabkURd+GjMN8OCWAAAgJEgHAQAAEDMtPX2a19zhyRpZlmB3C6nzRWlntqxxaHjbYSDAADAIsJBAAAAxMz2sPUGrwoLsRA94wtyVJqTJWlgCnfQNG2uCAAAJBPCQQAAAMTMthPDI9lmVxIOxoJhGKGfbXufX/sHR2oCAACMBOEgAAAAYiZ8DbzZjByMmfDgNTyQBQAAuBDCQQAAAMREIGhqe/3AtOKKvGxV5rttrih1zR5bEjreVt9sYyUAACDZEA4CAAAgJvY2t6vL55c0MGrQMAybK0pdNWUFynIMfLRn5CAAALCCcBAAAAAxwXqD8ZPldOjy8kJJ0uHWLnm7++wtCAAAJA3CQQAAAMTEthPD01tnV5ac50xEQ/iajuFrPQIAAJwP4SAAAABi4o3BcDDLkaEZpQU2V5P6ascNB7Bbj7PuIAAAGBnCQQAAAETdsfZuHWvvkSRdVVmsTAcfO2MtfOTg6ycIBwEAwMjwKQ0AAABRt+WYN3R89TiPjZWkj5KcLF1anC9J+ktDq7r6/TZXBAAAkgHhIAAAAKJuS9i01rlVrDcYL1dXDQSxAdPUNtYdBAAAI0A4CAAAgKgbGjmY6cjQe8ayU3G8XB0WxG4+6j3PmQAAAAMIBwEAABBVJzt79E5rlyRpVnmRsp0OmytKH3Orhqdwbz5GOAgAAC6McBAAAABRtfkYU4rtUpabrUuK8iRJfzl5St0+1h0EAADnRzgIAACAqHr9eNhmJFVsRhJvQ6MHfUFTb55g3UEAAHB+hIMAAACIqqGRg84MQ7MrWW8w3sID2c3HmVoMAADOj3AQAAAAUXOys1cHWjokSZeXFyrH5bS5ovQTuSlJ83nOBAAAIBwEAABAFG062hQ6ft/4UhsrSV/leW5VF+ZKknY0tKirn3UHAQDAuREOAgAAIGo2vtsYOp43sczGStLb+yYM/Ox9QZNdiwEAwHkRDgIAACAqTNPUhiMDIwfdToeuGst6g3aZN3F41ObGI43nORMAAKQ7y4vA1NfXa+XKlero6FBOTo6WLVumqqqqiHN27typZ555Rj09PcrIyFBtba3uvvtuGYYRtcIBAACQWPY3d6ixq1fSwI65mQ7+Dm2Xa6o8chiGAqapP7/bdOEnAACAtGX5E9uaNWu0YMECPf7447r11lu1atWqM87Jzc3VZz7zGX3rW9/So48+qt27d2vTpk1RKRgAAACJacOR8CnFrDdop4LsTM2qKJIkHWjpUH1Hj80VAQCARGUpHGxra9Phw4c1b948SdLcuXPV2NioxsbIqQrV1dUqLy+XJGVmZmrSpEk6efJklEoGAABAItp4ZHiE2rwJrDdot+vDAtoNTC0GAADnYGlacXNzs4qKiuRwOCRJhmHI4/HI6/WqrOzsHwBbW1u1efNmfeELXzjr930+n3w+X+ixYRhyu92h41Q09L5S9f0h+ugZWEXPwCp6BlacrV/6A8HQxheluVm6zDOGfrLZvInl+n+b90qSNr7bpLtqJtlWC/cYWEXPwCp6BlbRM8Msrzlo5YfW3d2tFStW6NZbb9XkyZPPes7atWv13HPPhR5XV1drxYoVKi1N/akoFRUVdpeAJEPPwCp6BlbRM7AivF/+fPC4un0BSdKNl01UZWWlXWVh0IfLypT//Gvq6PNp0zGvyssrlJFh7/8B4h4Dq+gZWEXPwCp6xmI4WFJSoubmZgUCATkcDpmmKa/XK4/Hc8a5PT09euSRRzR79mwtXLjwnNe8/fbbI74/FD42NTXJ7/dbKS9pGIahiooKNTQ0yDRNu8tBEqBnYBU9A6voGVhxtn75+dbdoe+/tyxf9fX1dpWHMNdUefTSwXp5u3r10lt1oXUI4417DKyiZ2AVPQOrUr1nnE7niAfeWQoHCwoKVF1drQ0bNmj+/PnasmWLysrKzphS3Nvbq0ceeUSzZs3SokWLzntNl8sll8t11u+l4i8nnGmaKf8eEV30DKyiZ2AVPQMrwvvl5UMDYWCGIc2fVE4fJYj5k8r00sGB380fD9XrivJCW+vhHgOr6BlYRc/AKnpmFNOKlyxZopUrV2rt2rVyu91atmyZJGn16tWqra1VbW2tfv/73+vAgQPq7e3V66+/Lkm65pprdMcdd0S3egAAANjundZOHWzplCTNHluiInemzRVhyAcnV0h/fEuS9PKhBv3rNdNtrggAACQay+FgZWWlli9ffsbXly5dGjq+4447CAIBAADSxPpDJ0PHH5xcbmMlOF1Fnlszywq0q7FNOxvb1NDZo4o8t91lAQCABJJhdwEAAABIbn883BA6/mA1i3onmgVhv5M/Hmo4z5kAACAdEQ4CAABg1Dr6fNpyzCtJqhqToykl+TZXhNMtmEw4CAAAzo1wEAAAAKO24UijfMGBRbw/OLlchmHYXBFOV1NeqLLcbEnSxiNN6vH5ba4IAAAkEsJBAAAAjNqLB+pDxzcwpTghZRiGPlg9sBZkXyCojUeabK4IAAAkEsJBAAAAjEqfP6CXB6epjsly6trxpTZXhHMJn1r8h/0nbKwEAAAkGsJBAAAAjMqf321UZ//AFNUbJ49VpoOPlonquollys90SpLWHapXnz9gc0UAACBR8AkOAAAAo/K7fcdDx7dMHWdjJbiQbKdDN14yVpLU3udnajEAAAghHAQAAIBl4VOK8zOdum4CU4oT3cKwAPe3YcEuAABIb4SDAAAAsOyP+4+qvc8naWA9uyynw+aKcCHXTSgdnlp8kKnFAABgAOEgAAAALHvurYOhY6YUJ4csp0M3DU4t7uj3a8O7jTZXBAAAEgHhIAAAACzp8fn1/M5DkqS8TKfmTSyzuSKMVHiQ+xumFgMAABEOAgAAwKIXDtSrY3BK8V9NqVQ2U4qTxryJZSrMdkmSXjxQH5oaDgAA0hfhIAAAACx5bveR0PGdMybYWAmsynRk6NZpVZKkXn8gYsdpAACQnggHAQAAMGL1HT3aOLhW3YSCXM0ZV2JzRbDqzhkTQ8e/2HXkPGcCAIB0QDgIAACAEVtbd1Tm4PFfzxgvwzBsrQfW1ZQV6LKSMZKkbfUtOnSq0+aKAACAnQgHAQAAMCKmaeq5uuGRZn/NlOKkZBiGFs0cH3ocPk0cAACkH8JBAAAAjMiW48062DIwymze5EpNKMi1uSKM1m3TxssxOOrzl7uPyB8M2lwRAACwC+EgAAAARuS/dxwKHS+5eqaNleBileVm64OTyyVJDZ29evFAvc0VAQAAuxAOAgAA4ILqO3pCAVJpTpbuuHyyzRXhYn1i1vDv8EdhwS8AAEgvhIMAAAC4oGfefkcBc2Arknsun6RMp8PminCx3jehVJcW50uSXj/erN1NbTZXBAAA7EA4CAAAgPPq8wf0zNvvSJIchqG/vaLa3oIQFYZh6BNXDv8uGT0IAEB6IhwEAADAef1m7zF5u/skSR+6dKwq8t02V4Ro+evpE5Sf6ZQkPV93VC09fTZXBAAA4o1wEAAAAOcUCJr67hv7Q48/+Z5LbKwG0Zab6dTHZk6UJPUFgvrBmwdtrggAAMQb4SAAAADO6Q/7T+jQqU5J0tVVJZozrsTmihBti2dfIleGIWlgR+q23n6bKwIAAPFEOAgAAICzMk1TK9/YG3p833svs7EaxEplfo4WzZggSero97P2IAAAaYZwEAAAAGe1/vBJ7W5qlyTNKi/UdRNKba4IsfJPc6bKYQyMHnxq+0F19vtsrggAAMQL4SAAAADOEAia+vqm3aHH9829TMZgeITUM6EwV7dOq5Iktfb69NR2Rg8CAJAuCAcBAABwhl/WHdEe7/CowQWTK2yuCLF233uHRw+uemOfGrt6ba4IAADEA+EgAAAAInT7/HpsU13o8Zeur1EGowZT3iXF+brnikmSpG5fQN98te78TwAAACmBcBAAAAARvr/tgE4Ojhq76ZIKza3y2FwR4uVfr56m/EynJOnnu95VXVObzRUBAIBYIxwEAABAyDutnVr5+j5JksMw9PnrZtpcEeKpJCcrtCt10JQefOUvCpqmzVUBAIBYIhwEAACAJMk0TX3h5R3qCwQlSfdeOVmXFOfbXBXi7d73TNaEghxJ0uvHm/XMX96xtyAAABBThIMAAACQJP1i9xG9etQrSaoa49a/XTvd5opgh2ynQ48ueE/o8aMbd+lER7eNFQEAgFgiHAQAAICOtXfrP/60M/R4+QevVO7g2nNIP9dNKNVdNRMlSZ39fn3+5R1MLwYAIEURDgIAAKQ5XyCo+37/htr7fJKk26ZVaf6kcpurgt2+NG+mynKzJUl/eqdRa7YdsLkiAAAQC4SDAAAAae7rm3Zre/0pSdL4MTn6jxtm2VwREkFBdqYeu+k9MgYff33jbr1+zGtrTQAAIPoIBwEAANLYb/YeC40Ic2UY+u4tczQmy2VzVUgU759UrvvmTpUkBUxT9/1+q+o7emyuCgAARBPhIAAAQJrafMyrf3vxzdDjL11foysqimysCInoX6+ermvGeyRJJ7t69Ym1r6mtt9/mqgAAQLQQDgIAAKShvd52/f1vtqg/EJQk/U3NRN175WSbq0IicmQY+s5fzdHEglxJ0t7mgd7p9QdsrgwAAEQD4SAAAECaeftkq+76xcbQBiTzJ5XrPz84S4ZhXOCZSFeenCz9+I5rVOLOlCRtOd6sTz7/mrr6/TZXBgAALhbhIAAAQBp543iz7vnlRp0anBZ6ZUWRvnvLHDkz+FiI85tUmKcf3naNclwOSdKrR736219tYooxAABJjk+BAAAAaeKnb7+je365Se19A6O95lSW6Ok7rlVuptPmypAsZlUU6X/++n2hTWu215/SR3/6J+31tttcGQAAGC3CQQAAgBTX1e/XF17eoc+/vCO0xuC8CaX68R3XKJ+diWHRVWOL9bM7r5MnJ0uS9E5rl2796Z/0q7qjMk3T5uoAAIBVhIMAAAAp7LWjTbr5J+v1zNvvhL5275WTB6eHMmIQozOjtEDP3329ZpYVSJJ6/AH96wvbtOR/t+hkZ4/N1QEAACsIBwEAAFLQO62d+sffvq67n9uko+3dkqRsp0PfuOk9eugDV8jl4GMgLs74glz96q7rtWjG+NDXXjrYoBv++4/69pa96vaxWQkAAMmAPxcDAACkkLqmNn1/2wH9Zu8x+YLDUzzfO65E37jpPZpUmGdjdUg12U6HvnnzbH1wcoW+sv4v8nb3qbPfr2++Wqcf7zike98zWX97ebWKB6cgAwCAxEM4CAAAkORae/v1+30n9Mu6I9p6oiXie56cLN1/zTT9zeWTlGEYNlWIVPdXU8bpmqpSfWPTbj27810FTFNN3X36xqY6PbFlnz48pVKL3zdL0/McctCHAAAkFMvhYH19vVauXKmOjg7l5ORo2bJlqqqqOuO89evX6/nnn5dpmqqpqdHixYvlcDiiUjQAAEA66/MH9HZjq14/1qz/e+ektp5oUeC0jSAKsly698rJWlJ7qfIy2XQEsVfkztQjC67Up666RN98tU5/2H9CpqRef0Br645qbd1Rjcly6fqJZbpuQqmurCjSlJJ8OTOY4g4AgJ0sh4Nr1qzRggULNH/+fG3evFmrVq3S8uXLI85pbGzUz372M61YsUIFBQX6+te/rvXr1+vGG2+MWuEAAACpzDRNtfX5dLKzV++2dWmvt137mju0v7ldB091hnYdPt2U4nz97RWTdFfNRDYcgS0uLc7XqoXv1ZHWLv1wx0H9cvdRtfX5JEntfT79dt9x/XbfcUmS2+lQTVmhrigvVHVRnsYX5GhCQa7G5buV5WRgAQAA8WDpE2NbW5sOHz6sL3/5y5KkuXPn6gc/+IEaGxtVVlYWOm/z5s2aM2eOCgsLJUk33nijfvOb3xAOSmrr7Ve3PyC/u0ONHd0yT/sr/0iN8mlnXic6lxm4VpSKilpNCfYzMi/iSoYMdbna1HSqU6bMhPv9J9rvPlo/H+nifm+nXSiulzEMQ81Gprze9rP+fqL1vqL7s47SdVK4H6PlrD8jw9Bxv0N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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "h = .05\n", "\n", "x_ = 0.1\n", "\n", "# calcola matrice kernel\n", "psi = diag_kernel(np.array([x_]).reshape(-1,1),X,h)\n", "domain = np.linspace(-1, 1, num=500)\n", "f = plt.figure(figsize=(16,4))\n", "plt.title('$x={0:5.3f}$'.format(x_))\n", "plt.plot(domain, kernel(x_,domain.reshape(-1,1),h), c=colors[1])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 257, "metadata": {}, "outputs": [], "source": [ "y = local_regression(x_, X, t1, h)\n", "w = local_regression_coeffs(x_, X, t1, h)" ] }, { "cell_type": "code", "execution_count": 258, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f = plt.figure(figsize=(16,8))\n", "plt.title('$x={0:5.3f}$'.format(x_))\n", "plt.scatter(X, t1, c= colors[1], alpha=.5)\n", "plt.plot([x_], [y], marker='o', color=colors[4], alpha=.9)\n", "plt.plot(domain, np.c_[np.ones(len(domain)), domain] @ w, color=colors[1])\n", "plt.plot(x, y1, linewidth=2, color=colors[2], linestyle='dashed', label='Real function')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 259, "metadata": {}, "outputs": [], "source": [ "prediction = [local_regression(x, X, t1, h) for x in domain]" ] }, { "cell_type": "code", "execution_count": 260, "metadata": {}, "outputs": [ { "data": { "image/png": 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6BZqbm96ra0WbGhXeuU3WsSNK/OTfyHA6Y33uta9TJG+CzLtXyOHr3XWBWyFABAAAAAAA6Adbzlfrs88fUE1rINb29tn5+vKqu5Ts7nkkY5WfV3jrJkUO7pcsq6Pt8CG55s6PjXEWFMpZUNh3kweuQ4AIAAAAAADQh9rCET267Yh+Wno+1pbmMfVP983V6wvzenQNOxJR5NABhbdtUvT8ufhOh0PRqso+nDFwcwSIAAAAAAAAfWT/5Sv61HP7Vd7YGmtblZ+tb7xunnK9ibf8fLSpSZHd2xXesU12U2N8Z3KyzKUrZC5fKUf6mL6eOtAtAkQAAAAAAIA7FLKi+tc9J/T4K6cUtTvaEl1OfWHlbL2reFKPi5mEX9io8LbNcW2OcXkyV66Vq2ShDLe7r6cO3BIBIgAAAAAAwB04WdekTz63T8dqm2Jt88am69v3l2hyurfbz9mWJUWjMkwz1mauWN0RIBqGnHfNlXvVGjmmFlJNGYOKABEAAAAAAOA2WFFbT7x6Wt/cdVwhKypJMh2GPrV0hj64oEAuh6PLz9ktLQrv3qHwjq0yV62Ve+19sT5Hdo4873i3nNOK5MjIHJDnAG6FABEAAAAAAKCXLjS26tN/elUvV9TH2qZlpOhfHyjRrGxfl5+xKi51VFPe/7IUiUiSwtu3yFx9j4zrwkZz6fL+nDrQawSIAAAAAAAAPWTbtn55tFxf3XJEreGOENCQ9P6SAn162QwluJzx4y1L1pFShbZtUvR0WfzFDEOOcXlSW6vkTRmgJwB6jwARAAAAAACgB2paA/q7Fw7opXPVsbbxqUn6l/vna/H4+O3GdiCg8M5tCu/YIvvKlfgLJSbKXHy3zBWr5MjMGoipA3eEABEAAAAAAOAWNpZd1udePKiGQCjW9vbZ+friytlK8ZidPxC1FHruD1Lo2ngjO0fulWvkWrREhidhIKYN9AkCRAAAAAAAgG40BkL6ypbD+s3xi7G2zCSPHrt3ru6dOlaSZEejilZVyjkuLzbGSEqWa+ESRXZuk3PmbJkr18g5fUbcWYfAcEGACAAAAAAA0IXN56r1dy8eUFVLINb2QMFYff2eucpI8shua1N47y6Ft2+R3dKs5H/4JxmJibGx7vsekHv1PXJk5wzC7IG+Q4AIAAAAAABGtZAVVbm/VS2hsLxuU2MS3frHHUf1f0cvxMakuF36hzXFevOMCbKrqxT4w2ZFXtkTt0U5vHeX3KvviX3tSB8zoM8B9BcCRAAAAAAAMCqFrKg2llWotNqvYMSSYUgVTe3ac6lOrWErNm5lfrYeu6dY2ZfOKfC938o6cazTtZxFM+XIGz+Q0wcGDAEiAAAAAAAYdUJWVE/sP63atoBSPaZMh6HtF2p1pKYxNsbtdOjLq+7SI8Fqhf/9MQXqauMv4vbIXLxE5oo1cuTkDvATAAOHABEAAAAAAIw6G8sqYuFhub9VL56tUnMoEuufmJakJeMzleJxSbWNsq8LD42MTJkrVstcvExGUtJgTB8YUASIAAAAAABgVAlZUZVW+5XgcurFs1WxVYeGbWtFsF7Zk/OVNzFPhmGotNqvBxYtlZ77g5yTp8pctVbOmbOppoxRhQARAAAAAIBR5MaCIfm+ZLmdoysMK/e36nxDi/ZW1Ks5FFFSNKL1LRV6b+tFTQi26HBqRHvyO84zDEYsXQgbmvqlR+VITR3kmQODgwARAAAAAIBRoKuCIbYteVxOFef4tK4wb1QEiY2BkL6x86hePFetCeE2fbi5XA83VyjFvrZ9efq5Y9p/11KFTbcMQ2oJheXIoKIyRi8CRAAAAAAARrgbC4Z43fFxwMGqBlU0tWtDScGIDhF/e/isPvLUZk2pr9B/NJVrVXutbnzay9njdXTaHEWcHd8j25a8bnPgJwsMIQSIAAAAAACMcNcXDOlKqsdUbVtAG8sqtL5owgDPrv9Vt7TrS5tLdeT4GX2/5lUVhFvi+iNOp07nF+notDm64suK6/O4nMr3JQ/kdIEhhwARAAAAAIAR7GrBkO7Cw6tSPaZKq/0jaitz1Lb1v4fP6x+3H1VzKCKXK0Ep0XCsvzkxWccL5+jE1NkKehI7fb4pGNbc3PQR8/0AbhcBIgAAAAAAI1i5v1XBiNVp23JXghFL5f5WFWakDMDM+o9t2yrff0Cbt72srxi5sfYxKclqXbBUjtpLcqxYrd+GvKoJhLoMV5uCYWUlJWhdYd5ATh0YkggQAQAAAAAYwVpCYRlGz8ZeLRgyXNmhkFr27FbdC88rq6leb5b0/byVqjCT9MisifrOI/cq0FCvq9+Q992ksMzc3PQRtRoTuBMEiAAAAAAAjGBetynb7tnY4VowJHrlisI7tqh1x3a5g+26eoqhU9JfRGo08+3v1IpJORqTlKDKRofs174hbqdD64smaF1hnsr9rWoJheV1m8r3JRMcAtchQAQAAAAAYATL9yXL43L2aOxwKhhi27aiZ08rtG2zIocOyrCjcl/XfzAhXVfmL9F73rROiR53t9eROoLE4b5tG+hPBIgAAAAAAIxgbqdDxTk+HaxquGkhleFWMCT48x8r8vJuSdLVHdphGXo2eazOzJyvv3jjGi1PGx5hKDDUESACAAAAADDCrSvMU0VTu2rbAiOiYEggYmmz6dOK176udXr0y5QJ2pM3XZ+4b5HeNTlnUOcHjDQEiAAAAAAAjHBup0MbSgqGXcEQ27YVPX9W4a2bZa5YLU2eqt+euKhv7jqu2iZL/5qYpWeTx2prWp7+ekmRfjm/oMfbtQH0HAEiAAAAAACjwHAqGGJHwooc2K/w1k2KXrwgSbrc1KoP+mbrVH1zxyDDoY/lluhts/L10tIi5XoTB3HGwMhGgAgAAAAAwCgylAuGRBsbFd65TZGd22S3NMd3nj+rC3njJUfHCsO1k3P0d8tnaXpm6iDMFBhdCBABAAAAAMCgssrPKbx1syIH90uWFdd31J2qn6bm67mkXIUcTs0fO0afvXuGlk3IGqTZAqMPASIAAAAAAOgzISvaqy3S1qULav+Xx+LbZOj5pBz9LDVfBzw+yTA0f+wY/b+lRVo+MUuGYXR9MQD9ggARAAAAAADcsZAV7bZIS3GOL1akxY5GZTiuBYrGuPEK5I5TQtVl+R2mfpUyQb9ImahqV4IkacG4MfrkEoJDYDARIAIAAAAAgDsSsqJ6Yv9p1bYFlOox5XXHxw0HqxrUfu68Hqo7LdXXKfETn1FTMKynT1zSLw6fV1Y0VxkZY/Rs8lgFHU45DOn1BeP0/pICzR87ZpCeCsBVBIgAAAAAAOCObCyriIWH1zOiliZfOqNZpw4qt65S0dfav/7TP+hHDbaCVkfL8aRsSZLX7dI7Z07UX82bqom+5IF8BAA3QYAIAAAAAABuW8iKqrTaHxceJgTaVHTmiGacPixve0vc+EaHqUvnLyroHRdrmzc2XX82e5IenJanZDdRBTDU8G8lAAAAAAC4beX+VgUjlrxul8Y01Gr2qYOaWn5Srmh8NeUy06ufpebrmeRxCjicykry6MFpeXrHXfkqykwbpNkD6AkCRAAAAAAAcNsa2oOqbQvonL9F7z20RdMbL8f6opI2J2brZ6n52pswRm6XU6snZesv5k7VkvGZcjooigIMBwSIAAAAAACgxxoDIe27fEWHz1doT02L9lU3KhztOMswkDheyxovq8lw6dcp4/WLlIlqSUnTJJ9XD/uSlWQ69ZfzCpTvS9bZhha1hMLyuk3l+5LldjpucWcAg4UAEQAAAAAAdMm2bV1qatMrl69o/+V6vVJxRdHKCr2rqVzvar2skxmzFb7uLMN9nnR9IWeOTuZMVmZ6iu7xeZWe6I71NwbCKq2+ol8cOa9gxJJhSLYteVxOFef4tK4wjyARGIIIEAEAAAAAgCTJito6XteoVyrqtf/yFb1yuV5VLQE5bFur22r0t83lWhy4Ehv/ruZyHc0rVI43QabD0NQxXqUnTFe+0Xlrsj8QUn1bSEdqGpXqMeW9oVjKwaoGVTS1a0NJASEiMMQQIAIAAAAAMEqFrKgOV/u191Kd9lbUa9/lerWEIrH+VCus97Zc0jubL2h8pD3usxHTrVklc7T1LWsUNhx6Yv9p1bYFZHQRHjYFw6pvC2lMojuuWvP1Uj2matsC2lhWofVFE/r2QQHcEQJEAAAAAABGibAV1YHKK9p9qU57L9Xr1corao9YncblRtr1/sazWt9yWYl2fL+RnSNzxWolL1oqIyFBkuSWtKGkQBvLKlRa7e+0PXl2tk+Hq/1KS+g6PLwq1WOqtNrPVmZgiCFABAAAAABghLJtW+f9rdpWXqPt5TXafakuboXhjbKSPFqUl6HVqU6t+/U2GbJjfc4Zs2SuWivn9BkyHJ3DPbfTofVFE7SuME/l/ta4Ainl/lYdqLzS6TNdCUYslftbVZiR0vsHBtAvCBABAAAAABhB2sIRbS+v0ZbzNdpWXqNLTW3djh3rTdTKnBSt9hoqmneXJvuSY1uQ20/ulVV2UuaipTJXrJYjJ7dH93c7HZ3Cv5ZQWF3sbO6SYXSMBzB0ECACAAAAADDMVTa366WzVXrhbJV2X6xV0Ip2OS4j0a3l+dlaPjFLyxKiyjywV5Edz8pITFLSqkVx5xd63vJ2GYlJMhIT73h+Xrcp2771OKlj27PXffOtzgAGFgEiAAAAAADDjG3bOlLTqBfOVOrFc1U6WtPY5Ti306GF4zK0Mj9bK/KzVJSRIvvkcYW3/V7W8aO6upnZDgZllR6Ua15J7LOOMRl9Nt98X7I8LmePxnpcTuX7kvvs3gDuHAEiAAAAAADDQCBiaeeFWr14tkovna1SdWugy3G53gTdOyVX90zJ1dLxmUo0XbIDAYVf3q3A9i2ya6rjP+B2y7VwiRx54/tt7m6nQ8U5Ph2saui2CrPUUa15bm46BVSAIYYAEQAAAACAIaqmNaBN56r04pkq7bhQ22XFZEm6K9un+6Z2hIazstLitiIH//h7hbdukoLxgaMxJkPmitUylyyTkdT/K/7WFeapoqldtW2BLkPEpmBYWUkJWleY1+9zAdA7BIgAAAAAAAwRtm3rRF2TXjxbpRfPVulgVUOX4zxOh+6emBVbaZjrvck5hYH2uPDQWThd5so1cs4u7rKacn9xOx3aUFKgjWUVKq32KxixZBgdZx56XE7NzU3XusI8Vh8CQxABIgAAAAAAgygYsbS3ol4vnq3US2erdKmpvctxWUkerZ2Sq3un5Gr5xCwlmfF/pbeDAUVe2SvXvAUykq+tKDRXrFZ4z065ShbKXLlWznGDt8LP7XRofdEErSvMU7m/VS2hsLxuU/m+ZIJDYAgjQAQAAAAAoB+ErGi3IdmV9qA2n6vWi2ertPV8jVrDkS6vMSMzVfe8FhrOyU2X47qtyVdF6+sU3r5F4T07pfZ22cGg3Pe8LtbvyM5R8v/3DRmehH55ztvhdjpUmJEy2NMA0EMEiAAAAAAA9KGQFe20TTcatdUeiSocjepyc7terbyiqN35s6bD0NIJWbHQcHxqUpf3sG1bVtlJhbdtlnWktGMf8GvC27fIXHNv3PbkoRQeAhh+CBABAAAAAP3uZqvxRpKQFdUT+0+rti2gZNOlhvaQzja06Jy/Rf5AuMvPpCe4tWZyju6dkquV+dlKuUmVYjsUUmTfXoW3bVa08nJ8p8slV8kimSvXDOjZhgBGvn4JECsrK/Xd735Xzc3NSkpK0kc+8hGNH9+5HPymTZv029/+VrZta/bs2dqwYYOcTmd/TAkAAAAAMAi6Wo13tWhGcY5vxBXN+PWxcu25VKeqlnad97cqaEW7HJeTnKA3FY3XfVPHav7YMXI6Om9NvpF15rTan3hcamuNazfSfDKXr5K5bLkML9uCAfS9fgkQ//u//1v33nuvVq9erT179ujxxx/Xo48+GjempqZGv/zlL/XYY48pLS1N3/jGN7Rp0ybdd999/TElAAAAAMAAu341XqrHlNcd/1fQg1UNqmhq14aSgmEdIla1tOuFM1V67vRl7bxQqy52JsuQlJeaqCnpXk32eWU6HfrM3TN79dyOseOkyLWzEh2Tp8hctVau4nkyerEYZ7SsBgXQd/o8QGxsbNS5c+f0hS98QZK0ePFiPfnkk6qpqVF2dnZs3J49e7Rw4UL5fD5J0n333aff//73BIgAAAAAMEJsLKuIhYddSfWYqm0LaGNZhdYXTeiXOfRXWHb6SrOeP12p589U6kBVQ5dj3E6HJvmSNSXdq0m+ZCW4roV89W1BlftbuywkYofDiux/RXZbq9xrr/0d2UhKkrlsuezWVpkr18g5Mb9Xcx5tq0EB9J0+DxDr6+uVnp4e24psGIYyMzNVV1cXFyDW1dUpKysr9nV2drbq6uq6vW44HFY4fO28CMMwlJiYGPv1SHP1mUbis6F/8M6gt3hn0Fu8M+gt3hn0Fu/MyBKyoiqtblSqx33Tcaket0qrG/X6aeN7HV7d7J0JWVFtPFWhQ12EZXNyfFo3rXdhWdS2VVrVoOdOV+r5M5d1+kpLl+OSTZcKM1I0Nd2rcSlJ3W5NNgxDreFI3NyjDQ0K79yq8M7tsltbJLdH7qXLZSRdK6Tiefhtt/XvSMiK6slXz6i2LaAUtymvOz7UPVTt1+XmwLBfDXoz/B6D3uKduaZftjD39Bt7/Tjb7mqR9zVPP/20nnrqqdjXkydP1mOPPRYXQo5Eubm5gz0FDDO8M+gt3hn0Fu8Meot3Br3FOzMyHK++IpfHoxRv4i3HBlra1WYmKj9nzG3d68Z3JhSx9K/bD6q6OaSxGb5O48uaQ2oqq9InV8yV29X91t9QxNK2s5f12yNn9czR87rc1NrluLvGZmj9rMm6a2yGNpVdVHZK15WTrxcwnJqcN1a52ekKnDyuhmf/oNa9u6TodWcmhoLyXipX6qq1t7zerfziwCm1yalxGeld9qdIamwPaXdtq94xb9od328o4/cY9BbvTD8EiBkZGaqvr5dlWXI6nbJtW3V1dcrMzIwbl5mZqZqamtjXtbW1ncZc7+GHH9aDDz4Y+/pq+FhbW6vIdWdAjBSGYSg3N1dVVVW3DFcBiXcGvcc7g97inUFv8c6gt3hnRpZzlVfU1tamZtu65di29qDOVVTKFw326h7dvTO/O35RZ6sblOI21dwc6vQ5h6SzVa36wbb9Wj8jfut0yIpqe3mN/niqQs+fqVRTsHPlZEPSwrwM3V8wVvdNHatJPm/ssy+EQmpu7rpwyvXs9qA8uzbrzPbNil68cMMEHXLNWyD3qrVqnTRZrZWVt/5m3ETIimrrifPyul1dfj9it5W09cR5Lc0amWci8nsMems0vDMul6tHi/P6PEBMS0vT5MmTtX37dq1evVp79+5VdnZ23PZlqeNsxC996Ut661vfqrS0NL3wwgtatmxZt9c1TVOm2fW5GSP1hyh1PNtIfj70Pd4Z9BbvDHqLdwa9xTuD3uKdGRmSTddrP8db/yxt275ufO9d/86ErKgOVTcoxe266b1T3C4dqm7QA4XjJEk7LlwNDau6DA09Tofunpil+wvG6t4pY5WZ5Im7vySZDkPFOWk6WNXQ7bmPktQUDGvD7t8pUnM5rt3wpsh190qZd6+QI80Xd+07cb6hRcFIRF73rQutBCMRnW9o6fJsxpGC32PQW7wz/bSF+QMf+IC++93v6umnn1ZiYqI+8pGPSJK+973vacGCBVqwYIFycnL0tre9TV/84hdl27Zmz56ttWvvfFk2AAAAAGDw5fuS5bnJ9uDreVxO5fuS++S+5f5WBSNWp4rPN7Kits5eadZH//iKdl+q6zI09LpdWjs5Vw8UjNWqSdmdzg3syrrCPFU0tXdbPKYpGFZWUoLGLFos6w9PS5IcEyZ2VFOeVyLDdet79FZLKKyeHuFmGB3jAeB6/RIgjhs3To8++min9g996ENxX99777269957+2MKAAAAAIBB5HY6VJzj69FqvLm56X22ZfZmYZlt27rc3K7jdU0qq29W0Oq81djrduneKbl6w7Q8rczPjquc3BNup0MbSgq0saxCRyrrNfnCKS04d0TPzFurNl+G5uama11hnsxAnoKVFTJXrJJj0pR+LdLgdZvq6eIp21aPglIAo0u/BIgAAAAAAPR0Nd66wrw+u2dXYVlDe0jH65p0oq6py5WGyaZL9029/dDwRq7WFq07d0j37NwmNTdJkt7deknpD668FpQmJyvhz//qju7TU4O1GhTAyEGACAAAAADoF9evxiut9isYsWQYHavcPC5nbDVeXxbsuBqWBSKWTtY16Vhtk6pbA53GuRyG8tOS9ellM3TPlNw7Dg0lybpQrvC2TYq8uk+y4ovHpNRVy3T03yrDmxms1aAARg4CRAAAAABAv3E7HVpfNEHrCvNU7m9VSygsr9tUvq/vK/3atq0jNX4drvZr3+Ursm5YimhImpCWpBmZqcpOTtDCvAy9YdqdrX60LUuRQ68qvHWzoufPxncahpxz5sm9co0cUwr6dZvyrQzGalAAIwcBIgAAAACg37mdjn6r7NscDOs3xy/o56XndbyuqVN/VpJHM7JSNT0jVcluV5+GZdbhQwr+6Mn4xqRkmUuXy1y+So4xY+74Hn1hMFaDAhg5CBABAAAAAMPSmSvN+tquk/rZ/pNqC9+wZdjt0ryx6cpM8ijZdMkwpEDEki3dUVhmh8MyzGsr+Jx3zZHhS5ftb5Bj7LiOasoli2S43Xf6eH1uIFeDAhhZCBABAAAAAMOGbdvaW1Gv7+8/rRfPVnXqn5ebrncWT9Ibp+Up0XQpZEXvOCyzLUvW4YMKbd0sIzlZiRv+OtZnOJ3yvPkRKSlJzoJpg7pNuaf6czUogJGJABEAAAAAMORFbVvPn6nUd18+pdJqf1xfsunSwzPG6513TdKsbF9c352EZXZri8K7dii8Y6tsf0NHo2EoWl8nR0ZmbJxrzrzbuj4ADBcEiAAAAACAIStq29pYdlnf2Xuy0/mGY72J+uSquXrDpAyluPvur7dWxSWFt29WZN/LUjgc1+fIyZXd1ChdFyACwEhHgAgAAAAAGHJs29azZZf1b3tO6mR9fHA4KztNHygp0IPTxmvi+DxVVlbKvqHi8u3czyo9qPC2zbJOn4rvNAw5Z90lc+UaOacVDYttygDQlwgQAQAAAABDyp5LdfrH7Ud1sKohrn1Ojk+fXFqkNZNyZBhGnwZ5hmEotOl5Rc+fu9aYkCBz8TKZK9fIkZnVZ/cCgOGGABEAAAAAMCScqGvUYzuOadO56rj2ebnp+sSSIq2elN1noWG0plpGVvz1zJVrFTz/pIzsHJkr18hcuERGQkKf3A8AhjMCRAAAAADAoKpvC+qbu47rF0fOK3rdTuTpGan62+UztXZyTp8Eh3Y0KuvYEYW3bpJ16oQSP/b/5CyYFut3zZkn40Mfk3P6DBmO3lVqBoCRjAARAAAAADAowlZUPzl0Tt/ec1xNwUisfaw3UZ9eVqQ3z5gop6MPgsP2doX37FR4+xbZ9XWx9tDWzUq8LkA0XC65Zsy64/sBwEhDgAgAAAAAGHA7ymv0lS2HVXalOdbmdbv00UXT9JfzpirB5bzje0SrqxTevlnhvXukUDCuz8jMknPa9Du+BwCMBgSIAAAAAIABU9Ma0Ne2HtHvT16Ka3/brIn6m7tnKjv5zs8ctC6WK/SH38k6caxTn7NoZkc15Rmz2KYMAD1EgAgAAAAA6HdR29bPSs/rGzuPxm1Xnpebrq+sKdbc3PS+u1kkEh8eut1yLVwi98o1cuSO7bv7AMAoQYAIAAAAAOhXR2v8+vuXDulAVUOszZdg6vMrZuttsybKcQcFUkKVl2WVn5dj4qRYm2PSFDkmTJTd1iZzxWqZi5fJSEq6k0cAgFGNABEAAAAA0C9aQxH9y+7j+uGBs7Lsa+WV3zZzoj6/cpbGJHpu67q2bcs6eVzhbZvVfOyIHOMnKPHTn4tVajYMQwkb/lpGahrblAGgDxAgAgAAAAD63ItnKvXFzaW63NweaysYk6JH75mjJeMzb+uadjCgyMt7FNq+RXZ1Vaw9evGCoufPyjl5aqzN4evDLdEAMMoRIAIAAAAA+kx1S0Bf2VKqZ8sux9o8Toc+tni6PrigUG5n71cERutqFd6+VeG9O6X29rg+V2aWHMtWyJGde8dzBwB0jQARAAAAwKgXsqIq97eqJRSW120q35d8W0HXaBa1bf289Lz+acdRNYeuFUlZMTFLj94zV/m+5F5f045GFfjhf8s6fEi6bgu0JDkKCuVetVYT7ntAVTU1sm/oBwD0HQJEAAAAAKNWyIpqY1mFSqv9CkYsGUZHTuVxOVWc49O6wjyCxB44Vdekv3vxoPZXXom1jUl060ur7tKbisbHzibsLcPhUOyHIkkul1wli2SuWitnXsd1DaezLx4BAHATBIgAAAAARqWQFdUT+0+rti2gVI8przv+r0cHqxpU0dSuDSUFhIjdCEQsfWfvSf3XvjKFo9cVSZk1UX+/YrbSE909vlb0Sr3Ce3bJ/bp1MlzXfhbulWsVOH+uo5ry0uUyvN4+fQYAwK0RIAIAAAAYlTaWVcTCw66kekzVtgW0saxC64smDPDshr6dF2r1+ZcO6ry/NdY22ZesR++Zq7snZvXoGrZtK3qmTKGtm2LblB3ZOTIXLIqNcUwtUNKXH2WlIQAMIgJEAAAAAKNOyIqqtNrfbXh4VarHVGm1n63M17nSHtSj247oqWMXY22mw9CHFhbqo4umK8F166DPDoUU2f+Kwts2KXq5Iq4vvHNbXIBoGIZEeAgAg4oAEQAAAMCoU+5vVTBiddq23JVgxFK5v1WFGSkDMLOhK2rb+uWRcj2245gaAqFYe8nYMfqne+dqWmbqra/RcEXhHVsV3rVDamuN6zNS02QuXyXXsuV9PncAwJ0hQAQAAAAw6rSEwuppXQ/D6Bg/mh2qatAXNx3SoWp/rC3F7dLnVszSn901SY4efDPDL+9R8H9/LEWjce2OSZNlrlwr15x5cWcfAgCGDn53BgAAADDqeN1mrLDvrdh2x/j+FrKiKve3qiUUltdtKt+XPOjbpq+0B/WNHcf0iyPluv7b9cZpefriqtnK8Sb2+FrOqQXXqik7nXLNWyBz5Wo58yf37aQBAH2OABEAAADAqJPvS5anB2f1SZLH5VS+L7nf5hKyotpYVqHSar+CEUuG0ZGzeVxOFef4BuX8RStq6+eHz+ufdx5TY/Da6svCMSn66tpiLZvQfZGUaKNf4R3bZKSmyr1idazdkZEp19LlMlJTZd69Uo7UtP58BABAHyJABAAAADDquJ0OFef4dLCq4aaFVJqCYc3NTe+3AC9kRfXE/tOxatA3nsl4sKpBFU3t2lBSMGAh4vbyGn19+xEdq22KtXndLn1qaZHeO2eKzC7mYdu2oufPKbxtkyIHX5WiURlpPpnLVsRVT054+7sG5BkAAH2LABEAAADAqLSuME8VTe2x8O5GTcGwspIStK4wr9/msLGsotv7Sx1VoGvbAtpYVqH1RRP6bR6SdKy2Uf+4/ai2ldfEtb95xgT93fJZyvEmdPqMHQkrcuDVjmrKF8rj+5qbFL1wXs7JU/t13gCA/keACAAAAGBUcjsd2lBS0O324bm56f26fThkRVVa7b/pCkipI0Qsrfb321wuN7fpW7uO69fHLsadczg7O01fXnWXFo3P7PSZaFOjIju3K7xzm+zmprg+w5si17IVMu9eIYcvvc/nCwAYeASIAAAAAEYtt9Oh9UUTtK4wb8ALmJT7WxWMWJ22LXclGLFU7m9VYUZKn92/MRDS9/aV6clXzyhoXauMPD41UZ+9e6Yemj6+y+rKtmWp7Z++JrW2xLU78ibIXLVGrvkLZZj9X3QGADBwCBABAAAAjHpup6NPw7meaAmF1UU+1yXD6BjfFxoDIT356hn98OAZNQUjsfY0j6mPLZ6uP58zOa7AjG3bMq6bqOF0ylywSOGtmySHQ87iuXKvXCvHlKlx4wAAIwcBIgAAAAAMAq/blG3fepzUsa3a676zVX3+QEhPvHpa/3PgrJpD14JDt9Ohv5g7RR9dNE1pCe5Ye7S5SZFdOxR+ebeS/t/fykj2xvrMFasl05R59yo5xoy5o3kBAIY+AkQAAAAAGAT5vuS4lX4343E5le9LVsiK9nqrdUN7SN9/9bR+dPCsWq4LDl0OQ2+dOVEfXTRNE9KSY+3WxQsd1ZT375OsjvHhPTvlvuf+2BhHVrY8b3w47j63MzcAwPBAgAgAAAAAg8DtdKg4x6eDVQ03LaTSFAxrdnZat8VeinN8XRZYueBv1Q8PntEvj1xQazg+OHxkVr4+vLAwFhzaliWr9KBC2zYrevZ0/AQMQ3bDlW7nF7KivZ4bAGB4IUAEAAAAgEGyrjBPFU3tqm0LdBkiNgXDGpPg0eXmgK60B5XqMTsVXTlY1aCKpnZtKCmQ6TD0ckW9nnz1jJ4/UxlXVdm8GhwumqbxqUmSJLulReHdOxTesVW2vyH+5olJMpfeLXP5KjkyOldiljrCwyf2n47N/2ZzI0QEgOGLABEAAAAABonb6dCGkoJuV/DNzU1XJGrrSI2/21WKqR5TVS3t+octpTpY1aAjNY1x/R6nQ297bcVh3mvB4VXhfXsV+sNv49ocuWNlrlwj14LFMjyem85/Y1lFt+Hn1bnVtgW0saxC64sm3OK7AQAYqggQAQAAAGAQuZ0OrS+aoHWFeZ3OEJSkx3Yc7Tagaw9HdLimUYeqGtQatuL6spMT9N65k/WuuyYrPdEt27JkB9plJCTGxpiLlyn0x99L4ZCcs+6SuXKtnNOm96iacsiKqrS6+2DzqlSPqdJqP1uZAWAYI0AEAAAAgCHA7XSoMCMlrq2svlnBiNVpa3B9W1AHqhp0vLZJ1g2lnO/K9ul986fqDdM6Aju7tVWhl7YovGOLnDNmK+GRd8bGGomJSnj3X8iRN16OzKxezbfc39rl3LoSjFgq97d2ej4AwPBAgAgAAAAAQ1RLKKyriwFt21Z5Y5terbyiC41tceMMSRPSkvTBkkK9q3iSDMOQdblCge1bFHlljxQOS5Iir+yR/eCbZCRd28rsmjPvjud2K4bRMR4AMDwRIAIAAADAEOV1mwpbUR2u9utAVYOutIfi+t1Oh2ZlpWlurk+RqK3F48bIOlKq8NZNsspOdrqes2Ca7LbWuADxTuZ2w+LHbtl2x3gAwPBEgAgAAAAAQ1BVS7t+feyCfnP8koJWNK4v1WNqbq5Ps7LS5HE55bAiKjhxUGN3/J8CV+rjL+RJkLl4qcwVq+XIzumz+eX7kuVxOXs01uNyxs50BAAMPwSIAAAAADCEHK7264lXT+sPpyoUicYv8ctLSdS8semaku6V47r9w41hS4vOH5Gar1VgNrKyZa5cI3PRkrjCKX3F7XSoOMeng1UNNy2k0hQMa25uOgVUAGAYI0AEAAAAgEEWtW1tPlet/9pXpr0V8SsIXQ5D0zNSNXWMV1PSvZJtK+tKtWozciV1BHRZyUnyrl4r65mn5SyaKXPlGjlnzJLh6N/Qbl1hniqa2lXbFugyRGwKhpWVlKB1hXn9Og8AQP8iQAQAAACAQRKMWPrtiUv67/2ndfpKc1yfL8HUu4on671zJis90aPnj56VXtmj4jOlGtPapP9a+w61+TI0Nzdd6wrzZAbHy75rjhw5uQM2f7fToQ0lBdpYVqHSar+CEUuG0XHmocfljM2N1YcAMLwRIAIAAADDTMiKqtzfqpZQWF63qXxfMgHNMNMYCOlnpef1w4NnVdMaiOubmu7VhvkFenjGeCWaLkVrqhX+0xat3rtLCgZj497dclHpD6689rNPSuqT4ii95XY6tL5ogtYV5vFeAsAIRYAIAAAADBMhK9rtSq/iHB8rvYaB+rag/nv/af3k0Dm1hiNxfYvyMvTBkgKtnZIrw7ZlnTyu9q2bZB0/2uk6zmlFypg/X64h9PN2Ox0qzEgZ7GkAAPoBASIAAAAwDISsqJ7Yfzp21pzXHf9H+YNVDapoateGkgJCxCGotjWg/9p/Wj89dE7tESvWbkh6oGCcPrigQPPGjpEkRUoPKvjM07JrquMvYppyLVzScb7h2HGd7sHKVABAfyFABAAAAIaBjWUV3RaqkKRUj6natoA2llVofdGEAZ4dulPdEtB/7SvTzw6fV+C64NDtdOiRWRP1/pICTfJ54z8UteLCQ2PMGJkrVstcfLeM5ORO92BlKgCgvxEgAgAAAENcyIqqtNrfbXh4VarHVGm1n8BoCKhtDei7L5/Szw+fV9CKxto9TofeedckfWhhoXKSE2SdOiGrOVnOCRNjY5x3zZXhS5cjM0vmqrVyzi7utpoyK1MBAAOBABEAAAAY4sr9rQpGrE7hUFeCEUvl/tZ+OYuOLbK31hqK6Pv7T+u/95+OO+MwweXUu4on6YMlhco2DUVe2av27ZsVraqUc3axEt//4dhYw+lU0t9+QUZS59WGN2JlKgBgIBAgAgAAAENcSygsw+jZWMPoGN+X2CJ7a2Erqv89cl7/tuek6tquVUpOdDn1njmT9YGSAmUEWhR+6Y9q3b1Tam+LjbGOHla0rlaOzKxYW0/CQ1amAgAGCgEiAAAAMMR53aZsu2djbbtjfF9hi+zN2batZ8su6593HtM5f2us3eUw9Gd3TdInFk1TeuUFhX/xP2o7fEg3/iAdUwvkXrlGRvqYXt97qKxMBQCMfASIAAAAwBCX70uWx+Xs0ViPy6l8361Xr/UUW2S7d6y2UX//0iG9Wnklrv31heP0N3fP1CSPQ+3f+aYClyviP+h0yVWysKOa8nVnH/bWYK9MBQCMHgSIAAAAwBDndjpUnOPTwaqGm25XbQqGNTc3vc9WArJFtmtt4Yi+vfuEnnz1jKzrVhQuzsvQ51bM0ryx160mdHtivzTS0mQuXyXX0uVypKTe8TwGc2UqAGB0IUAEAAAAhoF1hXmqaGrvdjVgUzCsrKQErSvM67N7skW2s03nqvTFTYd0qak91jbVl6x/KkhVce0FeXKXx403V61R+LX/dc2ZL8PZs5WkPTGYK1MBAKMLASIAAAAwDLidDm0oKei2mMnc3PQ+XwHIFtlrqlva9Q9bDuuPZZdjbSmGrW9kR7Xy4l7p4CVFJLnuKparcHpsjGveApnzF/bLnAZrZSoAYPQhQAQAAACGCbfTofVFE7SuME/l/la1hMLyuk3l+5L7JRxii6xkRW397PA5fWPHMTWHIpKk7EhAnzHqtK7+nBznWuPGR17eHRcgGj1NYG/TYKxMBQCMPgSIAAAAwDDjdjoGZKvwcNoiG7KifR6qHqtt1OdfPKgDVQ2SbWtu0K+/aruoNS1VckSjcWMdE/Jlrlor17z5d3TP3hqMlakAgNGHABEAAABAl4bDFtmQFe02PCvO8d1WeNYWjuhfd5/QE9cVSfm4v0wfbDwbP9DhkGtuicxVa+TIn9zvqw27M9ArUwEAow8BIgAAAIBuDeUtsiErqif2n47N7cZiLwerGlTR1K4NJQU9DtK6LJIyxqt7775P+tl/SZIMb4pcd6+QefdKOdJ8ffY8d2qgVqYCAEYfAkQAAAAA3RrKW2Q3llV0G2xKUqrHVG1bQBvLKrS+aMJNr3W1SMqFI8f00aZybU/M0otp4/WRRdP0oQWFcjsdCp5eJmdBoVzzFsgwR955jwAAdIcAEQAAAMBNDcUtsiErqtJq/023VksdIWJptb/bkNOK2vr5wdN69U+b9K4rZzUn1ChJKlZAn/nIezRlzLUVfQnv/PO+fQgAAIYJAkQAAAAAPTKUtsiW+1sVjFidti13JRixVO5v7TT3E+cuafdTv9OqylN62ArG9WWH27X/7AWNT5vBOYIAgFGPABEAAADAsNMSCqunNUsMo2P8Va3nzurYb36nqRdO6W2y48bWpmXo2PR5OjNxuhpaLJ3df7pXZygCADASESACAAAAGHa8blO2fetxUsd5jV53x1bnbUdOa873v6UZ1wWHlqSTOZN0ZtYCVWWN09VkMtWlHp+hCADASEaACAAAAGDYyfcly+Ny3nKcEbXkcTnlchj6wDN79afTlfqXpGzd31atRoepXWMLVTd3oQIpvi4/f6szFAEAGA0IEAEAAAAMO26nQ8U5Ph2sauiykMqYhlrNPnVQOdUX9U9L36z7f7JJQSsqSXoybYou5kzUxakzNT7Td8t7dXeGIgAAowUBIgAAAIBhaV1hniqa2lXbFlCqx5QRjSq/4oxmnzqksbUVsXHRQwcU9I6TJGUlebTh/jWa5EvW0ycu9ug+N56hCADAaEOACAAAAGBYcjsd2lBSoBcOl8nx8h4Vnz2stPaWuDFNhkup0bCchqG/mDdFn1xSpFSPqbL65ts6QxEAgNGIABEAAADAsGRdrlB02yat2veyFI5fIXjGTNbPUvL1jHec5uTn6rnVxZqWmRrr7+kZipLkcTmV70vu07kDADCcECACAAAA6JGQFVW5v1UtobC8blP5vuRBLSwSeWWPIrt3xrVtSczST1PztTshQ9MyU/Wvy2bodVPHynitsvJVtzpD8aqmYFhzc9MpoAIAGNUIEAEAAADcVMiKamNZhUqr/QpGLBlGx7Zej8up4hzfgFQotttaJcMhIzFRktQYCOn3qfl6SFK74dTT3vH6eepEXTCTNTEtSf+6dIYemj5eTofR7TVvPEPxRk3BsLKSErSuMK+/HgsAgGGBABEAAABAt0JWVE/sPx0L2bzu+L9CHKxqUEVTuzaUFPRLiBituqzQti2KvLJH0TX36fn8OXrmVIW2l9fIsm29kD1f+xLGqNXhUqrH1NsLxupLq4s7zbMrV89Q7C4cnZubPiDhKAAAQx0BIgAAAIBubSyr6HaFniSlekzVtgW0saxC64sm9Mk97WhUkaOHFdy6SfapE7H2uhdf1N+ODytiXAv0tiZlKz8tSffmpmuSL1nNoYh+fPBsjwNNt9Oh9UUTtK4wb0htzwYAYCghQAQAAADQpZAVVWm1/6ZnBEodIWJptf+2V+vZtq2qloDKq+vl+c3vlfXKdvlam+LGtBpOvZCUo8SopWanQ163S4VjUnRXTprGJHri5nI7gabb6VBhRkqv5w4AwGhAgAgAAAAgjm3bag5FtP/yFV1sbFWi6VIkGlUkasuK2opEo7IlRW1bti3ZstUSiujRbUeUnuCWZduybFvRqN3p11HbVlvYUn17UFfaQrrSHlSkuVnvqz+lN7VUKNm24uZywZWon6fk6+mUPHlTU5Sf5NHMrDSN9SZ0Koxy1Z0GmgAAIB4BIgAAADBK1bYGdLK+WWX1TTp9pVmnrzTrQmOb6tuCClrRXl/vYJX/tuaRFJUearkcFx7uSsjQc7nTpKKZWpCXpT/PGyPbln5y6Kwykjw3uVqHYMRSub+VVYUAAPQBAkQAAABglKhvC2rPpTrtulir3RfrdKahZcDnkBSN6K5go/YmZshhSGMSPRqTmKJ90WlaXnlKNbNK1Dp/seZOm6LXJSfEffZA5RV1s+iwE8OQWkLhfngCAABGHwJEAAAAYASrbQ3oD6cq9NsTl3SwquGW4zMS3cpOTlBGkkfpiW6da2hRsumSy2HI5XDI5TDkdBhyGIYMSYZhyGFIwUhUb501UR6nM9bvNCSXwyGHYcjTeEXp+3crpXSfDMtS5HNfU1qGT47XEkG7ZZEMp1OzphaosrJStm13mpvXbaqL5i7Zdsd4AABw5wgQAQAAgBEmGLG08fRlPX38kraX18jqInVzOQzNyUnX3Nx0FWakqGBMigozUuRLcMeN+92JizpY1XDTQipNwbDm5qbrgYJxce22bcs6eVzhbZtlHTui69O/5IMvy3Hv/bGvDW9Kt2caXpXvS5bH5bzpmKs8Lqfyfck9GgsAAG6OABEAAAAYIRoDIf388Hn94MBZ1bQGOvXPzErVyvwcLZ2QqYXjMpTsvvVfB9YV5qmiqV21bYEuQ8SmYFhZSQlaV5gnqaNy84WaBjkOvKz0/btl1tXEf8A05VqwSM6Zs3v9fG6nQ8U5vh4HmhRQAQCgbxAgAgAAAMNcVUu7nnz1jH5++LxaQpG4vryURL1pxgS9qWi8pmWk9vrabqdDG0oKtLGsQqXVfgUjlgyjYzGhx+XU3Nz0WHj4uxMX5dqxRYtPvKKEcCj+Qr50uVeslrn0bhnJ3tt+1t4GmgAA4M4RIAIAAADDVGMgpP98pUw/PHAmrmqyIen+grH6y3lTtSgvI3bO4O1yOx1aXzRB6wrzVO5vVUsoLK/bVL4vWW6nQyErqif2n1ZtW0BLXc648LAyK0+vTJ6txqkz9L6F02Tc4arAngaarD4EAKDvECACAAAAw0wgYunHh87qP/aeUmPwWqVhj9Oht86cqPeXFGhyeu9X+YWsaJcB4VVup0OFGSmSJDsUUmTvTkWnFmpjQzi2IvDU5Jmad+wVXRg3WUemzdWV9CxJUlMgpI1lFVpfNOEOn/7WgSYAAOhbBIgAAADAMGHbtjaevqxHtx3Rpab2WLvH6dB7507RB0oKlJWc0Ovrhqxotyv6inN8cSv6oleuKLxji8K7d0htbXIsW6HS3OLYduKw26P/feivZDnj/6qR6jFVWu3v09WB1weaAACg//RpgBgMBvX444/rzJkzcjgceuc736nFixd3GnflyhU9/vjjqqmpkWmaGjdunD7wgQ/I6739s1AAAAAwstxqNdxoU+5v1Rc3H9LW89eKkhiS3jxjgj69bIbyUpNu67rXbz9O9Zjy3lBY5WBVgyoa2/RX6ZK9Y4us0oNx1ZQjr+yRfW+h5L4W5N0YHl4VjFgq97cS+gEAMMz0aYD4zDPPyDRNfec731FNTY3+/u//XrNmzeoUDDocDr3lLW9RUVGRJOknP/mJfvazn+mDH/xgX04HAAAAw1BvVsONBsGIpe/tK9N3Xz4Vd87hyvxsfW7FLM3MSruj628sq+i2IIkzEtGCilOacfKAIo31N3S65Jq/QGdnzlfYH+302a4YhtQSCt964GsIkQEAGBr6NEDctWuXPvzhD0uSsrOzNWPGDO3bt0+rV6+OG+fz+eTz+WJfFxYW6oUXXujLqQAAAGAY6tFquKZ2bSgpGBVB0o4LtfripkM629ASa8v1JujLq+/SuoJxMu6wOErIiqq02t9leJjWdEUPvfh/SggF4tqN1FSZy1fJtXSFHKmpMuubZTec6dH9bFvyujvfq6t5PXvqEiEyAABDRJ8GiHV1dcrKyop9nZ2drbq6upt+JhqN6k9/+pMWLlx403HhcFjh8LX/t9IwDCUmJsZ+PdJcfaaR+GzoH7wz6C3eGfQW7wx663bemefKLquuPahUj7vL/lSPW3XtQT1XdlnrZ9x5MY6hqqY1oP9v62H99sSlWJvTMPRX86fqU0uLehTC9cSFxlYFI1F53Z1/Rk3edIVNdyxArEjPVvKaezV++d0yXNf+GjEp3SuPy6WODdU353G5NCnd2+07YRiGQhFLT7x6WrWtAaW4zU7Peqjar8vNgVETIuPm+G8TeoP3Bb3FO3NNrwLEL33pS6qoqOiy77HHHpMU/021rzsbpSu2beuJJ55QUlKSHnjggZuOffrpp/XUU0/Fvp48ebIee+yxuMByJMrNzR3sKWCY4Z1Bb/HOoLd4Z9BbPX1nQhFLp185o3EZ6TcdlyLpdEtIGVnZcrucfTDDocOKRvVfu4/qS8/tVWMgFGtfkp+j7755lYrHZfbp/S6GDaUmunVX5Vn56qt1cOl9cf2nipcqo7ZCp2Yt1KnkMXp3yXSNm9D557mqqFWvXKhRWmLXwa8kNbaHtGrKeOWPz7vpnH5x4JTabGe370HKa9faXduqd8ybduuHxKjAf5vQG7wv6C3emV4GiF/96ldv2p+ZmamamhqlpqZKkmprazV//vxux//whz9UfX29PvvZz8rhuPn/e/jwww/rwQcfjH19Naisra1VJBLp6SMMG4ZhKDc3V1VVVbcMYgGJdwa9xzuD3uKdQW/19p0pq2/SlcZmGWHPLcdeaQtqz4nTKsxI7YupDgkHKq/o7186pCM1/lhbiselv1s+W+8qniSHEVZlZWWf3S/a6JfrhRf03j07lRzqqOhcOnG6GlPHxMa8mj9Dyp8hSWppaVOgqVGVlZ1/lkuzknX0gqXL9Q1K6WJ1ZHMorKykBC3NSr7pM4SjtvZdrJHTCqm5OdTtOIekrSfOa2kWZyKOdvy3Cb3B+4LeGg3vjMvl6tHivD7dwrxkyRL96U9/UkFBgWpqanT8+HF94AMf6HLsD37wA1VVVemzn/2sXK5bT8M0TZlm11s1RuoPUep4tpH8fOh7vDPoLd4Z9BbvDHrrVu/M1UIZr1bWqzEQki/BlNNx861ChmGrORgeEe/ilfagHttxTL84Uh7XPjXdq/lj03WuoVm/P3Gxz879s86fU3jrJkUO7pc3Gl/8ZNKl0zo0s+ujhTwuhyamJXf5PTcdht43f2q3xW/mvHZuoekwbvozO9/QrGDEUoItSTf/2QYjEZ1vaKGiMyTx3yb0Du8Leot3po8DxIceekiPP/64Pvaxj8nhcOh973tfrALz888/r4aGBr397W/XiRMn9NxzzykvL0+f//znJXWcl/jZz362L6cDAACAIezGasuNwZBO1DfpYlObcrwJKhyT0m2Q2NNiHEOZFbX1iyPn9diOY2oMXjvrOzPJrTWTcpSXmhRru9PiMXYkosjB/Qpv26xo+fm4vqhh6NS4qTo5Y55qMsZ2+fmmYFhzc9Nvem+306H1RRO0rjDvtisnt4QiMgzdKjuU1PuKzgAA4Pb1aYCYkJCgT33qU132ve51r4v9uqioSL/61a/68tYAAAAYRrqqtuxLcOtiY7vcToeqWtrVHAxr/tgxXYaIHpdT+b7kQZh53zhU1aAvbDqk0mp/rM10GFo2IUtzcn1y3HBYe6rHVG1bQBvLKrS+qPfFYwI/elJW6YH4xuRkmctWSEtX6OUz9R0/iy4OiW8Kdmw/Xld487MLr3I7Hbe9KtDrdqmnCzxGQogMAMBw0acBIgAAANATG8sqYuHhVU6HoZzkBFW3tsvjdKo1HFHZlWYVZcafc9iT1XBD1aWmNn1z5zE9fV11ZUkqGOPVmkk5SnZ3/8fzVI+p0mp/j7Yy27YdV9zQXLAoFiA68sbLXLlWrvkLZLg7ip5s8KV3u/14bm56n22fvpV8n1cel1MKW7ccO9xDZAAAhhMCRAAAAAyokBVVabU/Ljy8qjAjRc2hsNrCEXmcTlW3BOK2Mvd2NdxQ0RgI6T9ePqX/OXhWIevauYPTM1L1wQUFOlB55abh4VXBiKVyf2uXK/xsy1Lk0KsKb90s97oH5SqaGetzzi6Wa+lymQsWyzG1IC5clPpm+3FfcDsdWjAhW1tOnFPKTb4fwzlEBgBgOCJABAAAwIAq97cqGLHk7SIgcjoMzR87RmX1zapuDag1HFa5v1VpCeaAr4brC62hiH586Kwef6Us7pxDX4KpTywu0nvmTNaRGr8OVl3p0fW6OvfPbmlWeNd2hXdsld3YKEkKb9scFyAaTqcS3vHuW17/TrYf95U33zVVRy9Uqqa1vcuQebiGyAAADGcEiAAAABhQLaGwujhqL8bpMFSUlarCjBSVN7Zo+cQszR+bMeCr4e5ESyisHx08p+/vP62GQCjW7nE69FfzpuqvFxYqLaFj+7DXbd7WuX/WpQsKb9uiyP6XpUgkfpy/QXY4LMMcfmcEul1ObSgp0LOnLg36lmoAANCBABEAAAADqqeBmdNhKM3j1vyxGYO+Kq6nGgMh/fjQOT3x6mn5A9dWChqS3jJzgj69bIbGpSTFfSbfl9xx7l8PJDgMTSg/qbafbVH0zOn4TsOQc3axzFVr5SyY1mmb8nAyVLZUAwCADgSIAAAAGFC9CcyGS6GMC42t+sGrZ/TLo+Vqu64AiMOQHpo+Xh9bPF0FY7oOQd1Oh4pzfDpY1dDllt2rmoJhrXAFFfnRD+I7EpNkLr1b5vJVcmRk9snzDBVDYUs1AAAgQAQAAMAA601gNpQLZdi2rVcrG/SDA2f0bFmFotetqnQY0sNFE/TRxdM1Jd17y2utK8xTRVN7p8rUrnBIEdMdO/dveclsRfZvUfTcWRk5uXKvXCvXwsUyPJ7+eEQAAABJBIgAAAAYBN0FZlcN5UIZ7eGIfnvikn5Sek5Haxrj+hJcTj0ya6I2zC/o1cpJt9OhDSUF2lhWocNVVzTh0lktOHdYicGAfnbvO+LO/XM++LDsSFjO6TOG9TZlAAAwfBAgAgAAYMBdH5gNl0IZZxta9NND5/R/xy6oKRhfCTkryaP3zp2idxdPVnqi+7aubwbbte7ycd2zfat0pT7W/tlcUwlFE2JfOwsKb+8BAAAAbhMBIgAAAAbFcCiUEYxYevFslf738Hltv1DbqX9Ojk/vmTNZb5w+Xgk9PNfxRtGqywpt3azIvr1SKBTXZ2TnyGVFuvkkAADAwCBABAAAwKAaioUyTtQ16ldHLug3xy+qIRAf6nmcDj00fbzeM2ey5uSm3/Y9IkcPK7zlJVmnTnTqc86Y1VFNefoMGY6hEaYCAIDRiwARAAAAUMe5i78/cUm/OlquQ9X+Tv0T05L07uLJemRW/m1vU75eZP/L8eGhxyNz8TKZK1bLkZ1zx9cHAADoKwSIAAAAGLWitq29l+r0q6MX9GzZZQUiVly/x+nQ/QVj9fZZ+Vo2MUuO2yxaEq2ukjEmQ4Z5rWCMuXKtIvtfkZGZJXPFaplLlslISLyj5wEAAOgPBIgAAAAYVWzb1om6Jv3uxCX9/uQlVTS3dxozMytNb5+drzcVjZcv4fZWG9rRqKzjRxXetlnWiWPy/Nmfy1yyLNbvnDRZCR/9lJxTC9mmDAAAhjQCRAAAAIwKF/yt+t3JjtDwVH1zp/5Uj6k3FY3X22fna3a277bvYwfaFX55j8LbNsuurYm1h7dtlmvxUhnXrWJ0FU6/7fsAAAAMFAJEAAAAjFi1rQH94VSFfnfykg5UNnTqdxqGlk/M0ltmTtT9BWNvu5KyJEVrqhXevkXhvbulYCCuz8jIlGvhYikalZy3fw/cXMiKDtmK3gAADGcEiAAAABhRmoJh/en0Zf3uxCXtvFirqN15zIJxY7S+aLxeX5inzCTPHd0vWl2l4G9/Lev4EcmOv5mzcLrMVWvknFXMNuV+FLKi2lhWodJqv4IRS4bR8aPwuJwqzvFpXWEeQSIAAHeAABEAAADDXjBiadO5av3uxCVtOleloBXtNGZGZqrWF43XG6eP1/jUpL67uccj68TRa+Ghacq1cInMFavlHJfXd/dBl0JWVE/sP63atoBSPaa87vi/4hysalBFU7s2lBQQIgIAcJsIEAEAADAs2batVysb9JvjF/TMyQo1BsOdxkxITdJDReO1fvp4Tc9MveN7RutqFa2tkWvGrFibw5cu15x5ss6fe62a8t0ykpPv+F7omY1lFbHwsCupHlO1bQFtLKvQ+qIJAzw7AABGBgJEAAAADCv+QEi/OFyuXxw5r3P+1k79mUkePTgtT+uLxmtebnpc0ZLbYdu2rFMnFd62SdbRwzK8KXJ+5VEZrmuBledtfyYlJMrgfMMBFbKiKq32dxseXpXqMVVa7WcrMwAAt4kAEQAAAMPCqfom/c+Bs/r18YsKRKy4vkSXUw8UjNWbZ07UsgmZcvXBeYN2KKTIvr0Kb92saNXla+3NTYoc2C9z4ZJYm5HsveP7offK/a0KRqxO25a7EoxYKve3qjAjZQBmBgDAyEKACAAAgCHtlYp6/fvek9pWXtOpb9mETL1lxkQ9UDhWXvfNV6H1VPRKvcI7tiq8e4fU1hbXZ6T5ZK5YLdeM2X1yL9yZllBYPV1gahgd4wEAQO8RIAIAAGBIOlrj12M7jmnrDcFhsunS22ZN1F/MnaLJ6X278i/wi58osmdXp2rKjslT5V61Vs7iuWxTHkK8bvPGH1W3bFt9FjIDADDaECACAABgSKlvC+pbu47rf4+cV/S6cGhiWpL+cu5UvW3WRKXc4sy722UkJV8LD50uuUoWyFy5Rs4J+f1yP9yZfF+yPK6eBboel1P5PorbAABwOwgQAQAAMCTYtq3fnbykr2w+rIZAKNY+PjVJn1gyXW+eMaFPzjaUpGjDFYV3bJO5aq0cqdeqM5vLVymy/xWZy5bLtXRFXB+GHrfToeIcnw5WNdy0kEpTMKy5uekUUAEA4DYRIAIAAGDQ1bcF9bcvHNALZ6tibV63Sx9bPF1/OXdKj1eZ3Yxt24qePaPwtk2KlB6UolEZblPu+98QG+MYk6GkLz8qo4+CSvS/dYV5qmhqV21boMsQsSkYVlZSgtYV5g3C7AAAGBkIEAEAADCodl6o1Sef26+a1kCs7cFpefry6ruUnZxwx9e3w2FFDuzrqKZ86UJcX3jPTpn3rYsLDAkPhxe306ENJQXaWFah0mq/ghFLhtGxE93jcmpubrrWFeax+hAAgDtAgAgAAIBBYdu2vvvKKX1z53FdPeowI9Gtr987Vw8UjLvj60cb/Qrv2KbIru2yW5rj+gxvilx3r5R590oCwxHA7XRofdEErSvMU7m/VS2hsLxuU/m+ZIJDAAD6AAEiAAAABlxbOKLP/OlV/bHscqxtxcQs/csDJX2y6jBy4pgC//UfUjQa1+6YMFHmqrVyzSuR4aIi70jjdjpUmJEy2NMAAGDEIUAEAADAgKprC+ovf7tbpdV+SZIh6f8tm6GPLpomh2H0yT2ck6dIHo/U3i45HHLNnS9z5Vo5Jk2W0Uf3AAAAGC0IEAEAADBgLvhb9Z6nd+m8v1WSlOJ26d/WLdA9U3Jv63rRpkZFdm6XHQnL88aHY+2GJ0HuNffJjoRl3r1SDl96n8wfAABgNCJABAAAwIA4WuPXe5/erdq2oCRprDdRP354qaZlpvb6Wlb5eYW3bVbkwD7JsiTTlHvNfTK83tgY9/2v77O5AwAAjGYEiAAAAOh3Oy/U6gPP7FVLKCJJKhiTop+8eanGpST1+Bq2ZSly6NWOasrnz8Z3Wpas06fkmju/L6cNAAAAESACAACgn714tlIfeuZlhayOgibzx47RD9+0RL4Ed48+H21uUmTXDoV3bpXd2BjfmZQsc9lymXevkmPMmL6eOgAAAESACAAAgH70uyNn9cHf71U4akuS7pmco+++YaESzZ7/MTTw3X9TtLIirs0xNq+jmnLJQhnungWRAAAAuD0EiAAAAOgXz56q0Eef3afIa+HhQ9Pz9O0HSuRyOLr9jB2Nyrih37VsuUK//qVkGHLeNUfmyjVyFkyjmjIAAMAAIUAEAABAn/vDyQp9fOM+WXZHePhw0Xh98/753YaHdkuLwrt3KLxjqxI+9DE5x46L9ZmLlsj2+2XevUKOjMwBmf+NQlZU5f5WtYTC8rpN5fuS5XZ2H4QCAACMJASIAAAA6FO/PXFRn3puv15beKi3zZqox+6dJ6ej84pBq+JSRzXl/S9L4bAkKbxts5xvf1dsjJGQKM9DDw/I3G8UsqLaWFah0mq/ghFLhiHZtuRxOVWc49O6wjyCRAAAMOIRIAIAAKDP/ObYBX36+Vdj4eFfLZqhL909XddHh7ZlyTpSqtC2TYqeLou/gGFIgXbZtj3oW5RDVlRP7D+t2raAUj2mvO74PzofrGpQRVO7NpQUECICAIARjQARAACgl9jO2rVfHS3X3zx/QK9lh3pX8SQ9/pbVqq6ukm3bsltbFd6zU+HtW2Q3XIn/cEKCzCV3y1yxWo7MrIGeepc2llXEwsOupHpM1bYFtLGsQuuLJgzw7AAAAAYOASIAAEAPsZ21ez86eFZf2lwa+/rP50zW19bOkeO6bcvW2dMK/f43cZ8zsnPkXrlGrkVLZHgSBmy+txKyoiqt9ncbHl6V6jFVWu0f1T97AAAw8hEgAgAA9ADbWbv3+Cun9E87jsW+/qt5U/TFFbNktzTHjXPOuktGRqbs+jo5Z86WuWqtnNOKOlVdHgrK/a0KRqxOP+euBCOWyv2tKsxIGYCZAQAADDwCRAAAMGwM5tZhtrN2Ztu2/nnXcX335VOxtk/NzdeHo9Vqf/RXcmRlS1/7p1if4XDI82fvkSPNJ0d2zmBMucdaQmH19AhGw+gYDwAAMFIRIAIAgCFvsLcOs521s6ht66tbDuuHB89KkiaHWvTN5GYVPbtZoVBQkmTV1yl46aLkvPZHTlfh9EGZb2953aZs+9bjpI530eu++bsBAAAwnBEgAgCAIW0obB1mO2u8QMTSZ59/Vc+cuKQV7XV6T9N53R2o7zTOWTRTsiJxAeJwke9Llsfl7NFYj8upfF9yP88IAABg8Ay/P80BAIBRZShsHWY76zW1rQG9//d7NPPUQf2x6YLyI23xA9wemYuWyFy5Rs7csfKMHStVVg7OZO+A2+lQcY5PB6sabrrytCkY1tzc9BG/4hQAAIxuBIgAAGDIGipbh9nO2uFkXZP+6ne7dampXR9vq4kLD42MTJkrVstcvExGUtIgzrLvrCvMU0VTe7cBdlMwrKykBK0rzBuE2QEAAAwcAkQAADBk9dXW4TstvjKat7Pa0ais06e03ZWmj27cr5ZQRJL0h+wCLbrwspzTijpWG866a0hWU74TbqdDG0oKuj1/c25u+qg47xIAAIAAEQAADFl3unW4r4qvjMbtrHYgoPArexTetll2TbW+n1OilsQsSVJxjk9/++B9Smx9QM6x4wZ5pv3L7XRofdEErSvMG7QK4AAAAIONABEAAAxZd7J1uK+Lr4yW7azRulqFt29ReM9OKRCItb+r6YJ2JmbpgYKx+tcHSpRouqTUkbPS8lbcTseILowDAABwMwSIAABgyLqTrcN9XXxlJG9ntW1b1qkTCm/bLOvoYd2Y2r6cMEa/SZmgzy2fpQ8sKJCjp8tCAQAAMCIQIAIAgCHrdrcO91fxlZG4nTVSdlKhp36haFV8peSA4dAfksfp56kT1ZqZo39bt0ALxmUM0iwBAAAwmAgQAQDAkHY7W4f7qvhKd0bSdlYjITEuPKxyJuh/UybqqZTx8jvdeuddk/T5FbOUcoswFgAAACMXASIAABjSbmfr8J0WXxmJbNuWdfqUZFlyFc2MtdelZ8mfMVbVrUH9JGWiXkrKlmU4NCXdq/9YU6wV+dmDOGsAAAAMBQSIAABgyOvt1uE7Kb4y0tihkCL7X1Z462ZFKyvkyB0nx99+QYeq/frfI+V6+vhFuZJnqS2l44+FXrdLH144TRvmT+3x+ZMAAAAY2QgQAQDAsNHTrcN3UnxlpIg2XFF4x1aFd+2Q2lqvtVdd1mf+85f6dTgx1hZyuOR2OvSe4sn6yKJpykjyDMaUAQAAMEQRIAIAgBHndouvDEUhK9rjgi22bSt69rRC2zbLKj0oRaNx/Yc8Pv0kJV8vhDzSa1u8vW6X3lM8WX85b6pyvAn9/DQAAAAYjggQAQDAiHQ7xVeGkpAV7fbcx+IcX6dzH+1oVO3/+s+Klp+Lu05Yhp5NHqufp+briCct1r5g3Bg9MitfD07LU3IPis0AAABg9OJPiwAAYES6neIrQ0XIiuqJ/adj4eeN1aQPVjWooqld75kzWeWNrTpe26hD1X4ta7a08rUxtU6PfpkyQf/nnaA6V8eW5LHeRD00PU+PzM5XwZi+qSLdmxWSAAAAGJ4IEAEAwIjV2+IrQ8XGsoq4lZO2baslFFFDIKS61oDSay5reuVpLdwxXe3GtbMeD3rGKd3dqJ+k5uv55FxFDIfm5qbrL6bk6p4puZqRmSqjp+Wpb6EnKyQpwgIAADAyECACAIARr6fFVwZTayiiqpZ2XWxq06+OXlB7OCJ/ICx/ICR/ICxH1NIDrZX6SFO5ZoeaJEl7XKl6OmV87BpHE3z62twHtGhchv4tL0OLx2cqsx8KovR0heT7FxT2+b0BAAAw8AgQAQAA+pFt2/IHwqpsaVdVS7uqmgOqaml/7euOX1e1tKspGOny85mRgD7UfFGPNF9UZjQU17e+vUrNcxZo8fgMzcxM05zcdKXcpGhMX7lxheSNUj2matsC2niqQh8aPzTPmAQAAEDPESACAADcpqhtd4SBzdeCwI5QMKDq10LC6paAglb01he7wV1Bv97VVK4HWqtkyo7rq0rN1LGiuXo1e5I+OnuK5o0d01ePdEshK6rSav9Nq1tLHSHioWq/QhFrgGYGAACA/kKACAAAcBO2baumNaAzDS0639Cqc/4Wnfe36FxDqy40tt5WOHg9j9OhsSmJyvUmKNebKI/TqcnH9+s9lfvixkUNQ+fGF+jotLmqzhwrGYYibUF53f2/4vB65f5WBSNWp23LXQlGLJ2pb5Sv/6cFAACAfkSACAAA8BrbtnXe36qDVQ06VtsY++dKe+jWH+5CqseMBYO53gSN9SZ2/Drl2q99CWZcYZOQFdV/RAOKnntVDjuqgDtBx6fO1vGCYrUmx5/j6HE5le9LvqNn7q2WUFg9rcNiGFJzMCTfwGacAAAA6GMEiAAAYNQKWVEdqfFr3+V67au4on2X61Xfw7DQ43RoYlqyJvmSNS41UbnJicq9biVhrjdBSebN/6hlXSxXcOtmObKz5X7d6yV1FHyZOmm89k6bp3CqT6fzi2S5Ol+nKRjW3Nz0Aa8m7XWbsu1bj5M6qjKneNxSNNi/kwIAAEC/IkAEAACjRiTacX7f9vIa7bpYqwOVDbfcgpyZ5NGsrDQVZKRoss+ryb5kTUr3aqw3UU5HD5fiXce2LEVKDyi8dbOi585Ikgxvisw198kwO5bqrSvM0xNNqzoKlXQTHmYlJWhd4cAXKMn3JcvjcvZorMfl1NSMNNXX1vTzrAAAANCfCBABAMCIdqGxVTvKa7WtvEY7L9aqKRjudmyqx6WScRkqGTtGs7N9mpmVphxvQp/Mw25pUXjXdoV3bJXd6I/vi1qKVl2Wc0K+pI5ViBtKCrSxrEKl1X4FI5YMo2NFn8fl1NzcdK0rzBvw1YdX51ac49PBqoabFlJpCoY1L3eM3D0MGwEAADB0ESACAIARJWxFtbeiXpvOVmnTuSqd87d2O3Z8apIWjhujBeMytDAvQ4UZKXL09IC/HrIqLim8dZMi+1+WIpG4PkfuOJmr1si1YLEMtzuuz+10aH3RBK0rzFO5v1UtobC8blP5vuRBCQ6vt64wTxVN7R0rJLsIEWMrJKcN/ApJAAAA9D0CRAAAMOw1tIe0+Xy1Xjpbpa3nq9UcinQ5zpdgavnEbK3Iz9KKidnKS03q13nZkbDa/+PbUtt1IaZhyDm7WObKNXIWTo8roNIVt9OhwoyUm44ZaEN5hSQAAAD6HgEiAAAYdmzb1ukrLXrpbJVePFul/ZX1inZR2MNpGCoZN0Yr87O1Mj9bs7N9t3VuYY/nFQ7HzjGUJMNlyly6XOGX/iQlJspcfLfMFavkyMzqtzkMlKG8QhIAAAB9iwARAAAMC9dvTX7xbJXKG7vempzmMbV6co7unZKrVfnZSktwdzmuL1mXKxTevkWRA/uV9Pkvy5GaFuszV6ySIz1drkVLZHj65jzFoWQorpAEAABA3yJABAAAQ1ZLKKwt52r0pzOXtflc91uTp6Z7dc+UXN07JVcl48bI5ej/FXB2NCrraKnCWzfLKjsZa4/s2iH3A2+Ife1IHyPHitX9Ph8AAACgvxAgAgCAIaWhPaQXz1bqudOV2l5eo6AV7TTGaRhaND5D907J1T2TczU53Ttg87Pb2hTes1Ph7VtkX6mP7/QkSP23QxoAAAAYFASIAABg0FW3tOtPZyr1XFml9lyqk2V3PtBwMLYmXy9aXaXQ1k2KvLJHCoXi+oysbJkr18hctERGQuKAzgsAAADobwSIAABgUJT7W7Xx9GU9d/qyDlQ2dDkmOzlB9xeM1QMF47Q4L0PmIBbnsMpOKbJzW1ybc8asjmrKRTNlDMC26f4SsqIUQgEAAEC3CBABAMCAqWpp1zMnK/T7k5dUWu3vcszEtCQ9UDBODxSM07yx6XIYA78n2G5vlx0KyZF2rRiKa+FiBf/wtGRFZS5eInPFGjlycgd8bn0pZEW1saxCpdV+BSOWDEOybcnjcqo4x6d1hXkEiQAAACBABAAA/auhPaRnyzpCw72X6tV5c7JUlJmqBwrG6v6CcZqRmSpjEEJDqWObcnj7FoVf3i3X3BIlvPPPY32Gx6PEDR+WI2+8jMThv005ZEX1xP7Tqm0LKNVjyuuO/2PhwaoGVTS1a0NJASEiAADAKEeACAAA+lxLKKznz1Tp9ycvaXt5jSLRzrHhrOw0vXFanh4oGDegRVBuZEejsk4eV3jrJlnHj8baI/tflv3QwzK8KbE2Z0HhYEyxX2wsq4iFh11J9ZiqbQtoY1mF1hdNGODZAQAAYCghQAQAAH0iatvafbFO/3e0XBtPVyoQsTqNGZeSqHsm5+rdcyarKDN1EGZ5jR0IKPzy7o5qyjXV8Z1ut1wLl8i2oiOyqHLIiqq02t9teHhVqsdUabWfrcwAAACjHAEiAAC4IxcbW/XUsQt66thFXWpq69SfnmBqfGqyJqQmKiPJLcnW/x0tH7Qz9uxgUKE//k7hPbukYCCuzxiTIXPFaplLlslISh7QeQ2kcn+rghGr07blrgQjlsr9rSrMSLnlWAAAAIxMBIgAAKDXghFLz5Zd1i+Plmv3xbpO/WkeU2+YlidDkttpKC3B3WnMoJ2xZ5qKHD8aFx46C6d3VFOeXTysqyn3VEsorJ4eM2kYHeMBAAAwehEgAgCAHitvaNa/bD+qXxw5ryvtobg+hyGtyM/WIzPzde/UXP3p9GUdrGoY1DP27GBQ1oljcs2ZF2szHA6ZK1Yr9PvfyLVgcUdwOC6vX+4/VHndpuyuqtl0wbY7xgMAAGD0IkAEAAA3Zdu29lyq05MHzuils9WK3pA8TfIl65FZ+XrLzAnK9XZUJx7sM/ai9XUd1ZT37JTa25X4t1+MCwnNxctkliyUkTx4xVsGU74vWR6Xs0djPS6n8n0jdzs3AAAAbo0AEQCAESRkRVXub1VLKCyv21S+L/m2gzkrauv5M5X63r4yHaxqiOtzOQy9vnCc3l08WYvyMmTcsB92MM7Ys21bVtlJhbdtlnWkVNcvsQtv2yznO94d+9rweCSP547uN5y5nQ4V5/huukJUkpqCYc3NTaeACgAAwChHgAgAwAgQsqLaWFah0mq/ghFLhtGRn3lczl4XK4lEo/r1sYv63r4ynW1oievLS0vWO2ZN1Dtm5ys7OaHbawzkGXt2KKTIvr0Kb92saNXl+E6XS66SRTKXr7rt649U6wrzVNHUrtq2QJchYlMwrKykBK0rHF3buwEAANAZASIAAMNcyIrqif2nY0HQjav+elqsxLZtPVt2Wd/cdbxTcDgzK1UfWjBNG1aVqK6mRvYtDtAbqDP2wnt2Kfi7p6S2+OrPRlqazOWrZS5bLsNL9eCuuJ0ObSgp6DZ4npubPihVsgEAADD0ECACADDMbSyr6HYVmdSzYiU7LtTqsR1HVVrtj2tfOiFTH1pQqFX52XI4HDKdPTs3b6DO2DO83rjw0DF5isyVa+WaM09GD+c6mrmdDq0vmqB1hXl9tvUdAAAAI0+fBojBYFCPP/64zpw5I4fDoXe+851avHjxTT/zn//5n9qyZYt+/OMfKyGh+61QAACgszstVlLR9P+3d9/xUdx3/sffM7uz6r0gECAEEr13DIjiuGBjY6ec45RLYhMnccvZKY5THCc52/Ell3KOgxO3JJdccjn/Yjsu2NgGI3oHAaaDBQjUQAW1rfP7Q3jxGgm0IGlVXs/HI48w3+/s7Gfh41nxZma+DfrhiiK9dbg0ZP9p2Wn69qyRmtwv7ZLqau9n7Nkej3xbN8lMz5QjLz847hg5WmZWX5kDBsqaPU+OnEGXVG9v53KYl/0MSgAAAPRc7RogvvLKK7IsS0888YTKy8v1ve99T6NGjVJ8fMsrHG7evPm8h64DAIC2u9TFSvwBW3/Yfkg/X7tHDV5/cJ8R6Yn69qyRmjeoz2V/R7fHM/YC1VXyrl4p79pVUn29HMNGKCbv68F5wzQV8+3vc7UhAAAA0IHaNUBcu3at7rzzTklSZmamRowYoc2bN2vu3Lnn7XvmzBm98MILeuihh7RixYr2LAMAgF7jUhYr2VlWrQff3q6d5dXBucy4aD04e5RuGt5fZjv9496lPmPPtm0F3j8s78rl8u3YJgUCwTn/vj0KVFbITM8497kIDwEAAIAO1a4BYmVlpTIyzv1An5mZqcrKyhb3ffbZZ/WpT31KsbGxbTq21+uV13tuhUbDMBQTExP8dU/zwWfqiZ8NHYOeQbjomZ4hIcqSbRuSLv7nGAhIr+4v0fPbDst/doUTQ9LnxuXqgVmjLnob9KX0TJTToZtGDNR1Q/uruLpOdR6f4l1O5STHnx8cer3ybdssz8rlChw7Gnog05RzwmS55syXIyOzze+PyOI8g3DRMwgXPYNw0C8IFz1zTlgB4kMPPaSSkpIW5x5//HFJob+pra3QuG7dOjmdTk2aNKnN7/3iiy/qhRdeCG7n5ubq8ccfDwkse6KsrKxIl4Buhp5BuOiZ7i0tI1P/PFyhhGjXBfer93hVuPe4jlafW115VJ9U/faTc3TFoL5hveel9kxO/9bn/GfO6P377pK/pjpk3JGUpKSrFij5qmvkTL205zEi8jjPIFz0DMJFzyAc9AvCRc+EGSD++Mc/vuB8enq6ysvLlZiYKEmqqKjQxIkTz9tv9+7d2rVrl+66667g2P3336/vfOc7GjhwYIvHvvnmm7Vw4cLg9gdBZUVFhXw+Xzgfo1swDENZWVkqLS1tNYgFPoyeQbjomZ4jL96l7WVVSnC1fAXhsZp6vX7ghBp9zc86NCTdM22Y7p0+XC6HdPLkyTa9T4f3TGYf6WyAaPYfKNfc+XJOmCyvZanC7ZHaWCe6Ds4zCBc9g3DRMwgH/YJw9YaecTqdbbo4r11vYZ4+fbrefPNN5eXlqby8XHv27NEdd9xx3n6LFy/W4sWLg9v/8i//ol/84hcXXIXZsixZVst/Meqpf4hS82fryZ8P7Y+eQbjome7v2vx+Ol7bcN5iJbZta9OJ01p77NzjRDJio/SrBZM1a2BGcJ9wXU7P2D6ffNu3yr+rSFH/epsM89xtzNbcK2XEx8uaM1/moMHBfyykP7s/zjMIFz2DcNEzCAf9gnDRM+0cIN54441asmSJ7rnnHpmmqdtvvz24AvOyZctUVVWlW265pT3fEgCAXq+lxUoCtq11xyt1uKo+uN/sgRn65bWTlBHX+j/YdZRAba18a1fJu2al7NpaSZJz2gw5R4wK7uMcPVbO0WM7vTYAAAAAF9auAWJ0dLTuu+++FueuvvrqVl/397//vT3LAACg13E5TC0aPkAL8rO1s6xaP1i+IyQ8/MYVI3T31KHttsJyW/mPFcu7coV8WzdL/tBHjvh3F4UEiAAAAAC6pnYNEAEAQGSdONOgby7bqsNVzYulRDlM/WrBJF2Xn91pNdh+v3w7tslbuFyBI4dDJw1DjrHj5SqYL3NIXqfVBAAAAODSESACANBD7Cyr1uf/sVZVTR5JUnpslJ5dNF3js1I6tQ7PSy/IW7gidDA2VtaM2bJmFchkNWUAAACgWyFABACgB9h28rT+9cW1qnU33yacn5qg52+argFJcR3+3rZtBxc8kZqfbfhBgGj27SerYJ6ck6fJcLk6vBYAAAAA7Y8AEQCAbm7ziVP6wovrVOdpDg+nZafpmUXTQ1Zkbm+23y//zu3yFK6QNWmqrJkFwTlH/4GyrrpWjmEj5MgbGhIuAgAAAOh+CBABAOjGNpU0h4f13ubwcMaAdD23aLpirY75ivefqZX7rTfkXfWu7OoqSZK3vl7OK2aHBIVRC2/qkPcHAAAA0PkIEAEA6KbWH6/Ul15apwavX5I0e2CGnr5xmmI6IDz0lxyXb9W7Orx5o2yvJ2TOtm3ZtbUykpLa/X0BAAAARB4BIgAA3dCaoxW67eX1avI1h4dzBmXq9zdMU7TT0W7vYQcC8u/cIW/hCvkP7g+dNAw5Ro6WNWe+HEOHc5syAAAA0IMRIAIA0M0UFpdr8cvr5fYHJEnzc/toycKp7RoeSpJdV6emPz4j+f3BMTMmVo5pM2TNmiMzI7Nd3w8AAABA10SACABAN/Lu+2W6458bguHh1UOy9JvrpiiqHcJDu75eRty5VZvNxEQ5J06Wb9MGGZl95CqYpwE33qSy6hrZtn3Z7wcAAACgeyBABACgm3jncKm++upGec6Gh9fm9dUT102Ry2Fe8jHtQED+93bJu3K5/CXHFPfwYzJcruC862PXyDlpqhzDRsh0OGTGxErVNZf9WQAAAAB0HwSIAAB0A8sOndSdr26UN9B85d/1+f306wWTZV1ieGg3Nsq7Ya28hStkn6oMjvu2bJI1Y2Zw28zqJzOr3+UVDwAAAKBbI0AEAKCLW3rghO5+fZN8Z8PDG4f11y+vnSinGX54GCgrlXfVCnk3rJc87pA5Iz1DinK18sruy+MPqLi6XnUer+JdlnKS4y7rqk0AAACgtyFABACgC3t1X4nuXbpZ/rPPHPz4iAH6+dUT5TDDW/XYd2CfvO8sk3/P7vPmHMNHyiqYJ8eIUTIuIZTsqjz+gJYeKFFRWbXcPr8MQ7JtKcrp0Ng+yVqQn02QCAAAALQBASIAAF3US3uP6b43tujshYf61MiBevyqCWGHh5LkP7AvNDx0ueScMl2ugrk98hZljz+gZ7YcVEVDkxKjLMW7Qn/k2V5apZLaRi2elEeICAAAAFwEASIAAF3QP947qm8s2xoMDz89OkePfWy8TOPi4WGgvExGbKyM+ITgmDWzQN633pCRnCJr9lxZ06+QERt3gaN0b0sPlATDw5YkRlmqaGjS0gMlWjR8QCdXBwAAAHQvBIgAAHQxf99drG8v26az2aE+N3aQfjJ/3AXDQ9u25d+3p3k15fd2ybr6OkVdf2Nw3kxKVsx9D8jsP6BH3abcEo8/oKKy6lbDww8kRlkqKqvmVmYAAADgIggQAQDoQv6683195+3twe0vjM/Vj+aOldFKeGi7m+TbuF6eVe/KLisNjvvWrpLr6gUyrHMhmmNgTkeV3aUUV9fL7fOfd9tyS9w+v4qr65WflnDRfQEAAIDeigARAIAu4s87juh7y3cEt2+fMEQ/mDO6xfAwUFkh76qV8m5YIzU2hswZySmyCuZKgUBHl9wl1Xm8asOd3pIkw2jeHwAAAEDrCBABAOgC/rD9sH64oii4fcekPH139qjzwsNAdZXcL/xN/l1FzUsKf4g5JF+ugnlyjBknw+HolLq7oniX9dHfmlbZdvP+AAAAAFpHgAgAQIQ9s/WgfrJyV3D7zin5+vbMkS1eeWjExsl/+OC58NDplHPSVFkF8+Toz2IgkpSTHKcoZ9sC1CinQznJPXcxGQAAAKA9ECACABBBv9t8QI+u2h3cvnfaMN0/Y7gMw1Dg9Cn53z8sa+KU4LzhcsmaMVu+TeubV1OeMUtGfHwkSu+yXA5TY/ska3tp1QUXUql1ezU+K4UFVAAAAICLIEAEACBCfrtxvx5f815w+/4Zw3XvtGEKHDogz8oV8u/cLpmmHHlDZSYmBfdzXX2tXNfd0KtvU76YBfnZKqltVEVDU4shYq3bq4zYaC3Iz45AdQAAAED3QoAIAEAE/Hr9Xv1i3d7g9gNT8/VlnVLjzx5RoOT4uR39fnnXFCpqwQ3BISMqujNL7ZZcDlOLJ+Vp6YESFZVVy+3zyzCa7/yOcjo0PitFC/KzufoQAAAAaAMCRAAAOtkv1+3Rr9bvkyRl+Rr166RGjX7tObnr60P2MxKTZM0qkHPG7EiU2e25HKYWDR+gBfnZKq6uV53Hq3iXpZzkOIJDAAAAIAwEiAAAdKJfrdsbDA//rWqfbq99X+bxj6ymPChXVsF8OcdNkOHkq/pyuRym8tMSIl0GAAAA0G3xtxIAADrJr9fv1S/Xn7ttecKIPJnrjzRvOBxyTpgsq2CuHDm5EaoQAAAAAM5HgAgAQAcL1FRrzd9f1GunHZIrUZL0wzljNGdUfzUc2SnnhEmyriiQmZR0kSMBAAAAQOcjQAQAoAPYtq1A8RF5V66QZ9sWTbAD+nx8tr6fPkY/mDNat00cIkmKffCHMgwjwtUCAAAAQOsIEAEAaEe2zyvftq3yFi5X4GixJOmD5Tquri+V74ZP6EsT84L7Ex4CAAAA6OoIEAEAaAeB2hr51qySd02h7DO1IXOnTJf+L2GAMj92pb40fWSEKgQAAACAS0OACADAZfKfKFHjzx+V/P6Q8fdcifpLwkC9HtdX3ygYq3+dkh+hCgEAAADg0hEgAgBwmcysvjLS0mWXl0mmqeIBefq+O0Vbo5Ilw9ADM0fqq4SHAAAAALopAkQAANoocKZWvrWrFSg9qegv3B4cN0xTrquuVaCsVP8vOUcPbj4qRTfPfXvmSN05dWiEKgYAAACAy0eACADARfiPH5V35XL5tmyW/L7msY9dI0d2/+A+1tQZ+p+i9/XgO9uDY9+8YoTuIjwEAAAA0M0RIAIA0ALb75e/aLs8hSsUOHwwdNIwFDh8MCRAfHnvcX33Q+Hh/TOG655pwzqpWgAAAADoOASIAAB8iF1fJ+/a1fKuXim7uip0MiZW1oyZsmbNkZmWHhx+53Cp7n9zi+yz21+ZlKd7CQ8BAAAA9BAEiAAAfEjTX/4o/+6dIWNmVl9ZBfPknDxNRlRUyNzaYxX62qsb5Qs0x4efHTNID84eJcMwOq1mAAAAAOhIBIgAgF7L9vslw5BhmsExa2ZBc4BoGHKMGiOrYL4cQ4e1GAhuO3lai1/eILc/IEm6cVh//WT+OMJDAAAAAD0KASIAoNex6+vlXb9G3tXvKuoTn5Zz9NjgnGPEKLkW3CDn5Kky0zNaPcbeyhp94cV1qvc2L6pyZW4f/eKaiXKYhIcAAAAAehYCRABAr+E/eULewhXybVoveb2SJO/K5SEBomGacl17/QWP8351nT73/9aqxt18jBkD0vXbhVNlOcwLvg4AAAAAuiMCRABAj2YHAvLv3ilv4Qr59+89fweHQ7bPK8Nptel4lQ1uff4fa1XR4JYkjc9K0TM3TlO009GeZQMAAABAl0GACADokezGxubblFe9K/tUZehkVJSsaVfImj1XZmafNh+zyefX4pfX62hNgyRpWFqi/njzDMW72hY+AgAAAEB3RIAIAOiRAlWn5XnphZAxIz1DVsE8WdNmyIiOCet4/oCtry/drG2lVZKkrPho/fHmGUqOdrVbzQAAAADQFREgAgC6PTsQkF1TLTMlNTjm6JctR/4w+Q/sk2P4SFkF8+QYMSpkxeVwPLpql944eFKSFGc59fxNM9Q3IbwQEgAAAAC6IwJEAEC3ZTc1yrthnbyFKyTDUOx3Hw4JCF03fVKG0ykzq+9lvc8fth/WM1sPSZIchqHfLpyikRlJl3VMAAAAAOguCBABAN1OoLxM3lXvyrthreR2B8f9e9+Tc+To4Laj/4DLfq+3D53Uj94tCm4/cuU4zR3U9ucmAgAAAEB3R4AIAOgW7EBA/n17mldTfm/XefOOocNlxLTvLcVFpVW6+/XNCtjN23dNGapbxwxq1/cAAAAAgK6OABEA0OV5162WZ/lbssvLQicsS84p02XNnitHv+x2fc/jtQ267eX1avT5JUk3DsvWN2eOaNf3AAAAAIDugAARANDl+Y8cDgkPjZRUWbPnypo+U0ZcXLu/X02TR198cZ0qGppvj57SL00/u3qiTMNo9/cCAAAAgK6OABEA0GXYti3//r1yDMqVERUdHLcK5sm3Ya0ceUObV1MePVaGw9EhNXj8AX3l1Y06cPqMJGlwSryevnGaop0d834AAAAA0NURIAIAIs52u+XbvEHewhUKlJ5U1KdulTVrTnDe0X+AYr/3I5mZHbt4iW3b+s5b27TuWKUkKTXGpT/cNEMpMa4OfV8AAAAA6MoIEAEAERM4VSnv6pXyrlsjNTYExz2FK+ScWSDjQ7cMd3R4KEm/Xr9P/2/PMUlSlMPUMzdOV05y+98iDQAAAADdCQEiAKBT2bYt/8H98q5cLv+uIsm2Q+bNwXlyFcxrHm/DMwc9/oCKq+tV5/Eq3mUpJzlOLocZdl0v7D6qX67fK0kyJP1qwSRN6pca9nEAAAAAoKchQAQAdBr/saNy/+WPCpwsCZ1wOOWcNFlWwXw5Bgxs07E8/oCWHihRUVm13D6/DKM5c4xyOjS2T7IW5Ge3OUhcc7RCD7y9Lbj9vYLRui6/fVd1BgAAAIDuigARANBpjKRkBT68mnJikqxZc+S8YpbMhMQ2H8fjD+iZLQdV0dCkxChL8a7Qr7PtpVUqqW3U4kl5Fw0R91fW6quvbpAv0Hwl5L+Oy9XiiUPC+FQAAAAA0LMRIAIA2p1t2wocPqhAVZWsyVOD42ZiopwTJytQUSarYL6c4ybIcIb/VbT0QEkwPGxJYpSlioYmLT1QokXDB7R6nLK6Jn3xpXWqdfskSVfm9tEP544JefYiAAAAAPR2BIgAgHZje73ybd3UvJry8WNSbKycY8fLcJ1bxTjqls/KsFoO/trC4w+oqKy61fDwA4lRlorKqlu9lbmmyaMvvLhWJWcaJUmjM5P0xHVT5DTDf34iAAAAAPRkBIgAgMsWqK6Sd02hvGtWSfV15yYaGuTbuknW9JnBocsJDyWpuLpebp//vNuWW+L2+VVcXa/8tISQ8SafX1/+5wbtqayVJPVPjNFzi2Yorg3HBAAAAIDehr8pAQAuiW3bCrx/RN7C5fJt3yoFAiHz5sAcWXPmyzl+Uru+b53H25bFmSU1L+Jc5/GGjPkCAd37+mZtKDklSUqNcem/Pz5TfeKj27VOAAAAAOgpCBABAJek6enfyr97Z+igaco5fpKsOfPkGDS4Q9433mXJttu2r203739u29Z339mhNw+dlCTFWU798aYZGpwS3xGlAgAAAECPQIAIALgkZv+BwQDRiE+Q84rZsmYVyExK7tD3zUmOU5TT0aZ9o5wO5STHSWoOD/9jzXv6313FkiTLNPT7G6ZqbFZKh9UKAAAAAD0BASIA4IL8xe/Lu2qFXAtvkpl8LmyzZhbIv/c9WbMK5Jww+bKfbdhWLoepsX2Stb206oILqdS6vRqflSKXwwyGh7/ddECSZEj65bWTNCsns1NqBgAAAIDujAARAHAe2+eTb8c2eQuXK/D+EUmSkZyiqIU3Bfcxk5IUe/8DEalvQX62SmobVdHQ1GKIWOv2KiM2Wgvys2Xbth5ZtVtPbzkYnP/J/HG6YVj/ziwZAAAAALotAkQAQJC7ukanVyxXzOa1ctadCZnz7dgm1/WLZLR1BZMO5HKYWjwpT0sPlKiorFpun1+G0fzMwyinQ+OzUrQgP1uSdN8bW/Ti3uPB1z4yf5w+Ny43UqUDAAAAQLdDgAgAUFPx+zr62uvKPLBLCR9ZTflMWqaSr7xK0VOmdYnw8AMuh6lFwwdoQX62iqvrVefxKt5lKSc5Ti6Hqeomj+58dZPWHKuQ1Hzb8mMfG69bxwyKaN0AAAAA0N0QIAJAL9e4Y5t8zz6lfh8aCxiGirMHa9fQ8dqfmKkMK0aLHU65IlZl61wOU/lpCSFjO8uq9dVXN+p4bYMkKcph6r+um6xr8/q1dAgAAAAAwAUQIAJAL2PbdsiVhG+byZrqilasp0luK0p7h4zWe3ljVRefKElKlFTR0KSlB0q0aPiACFXdNv6Aree3H9Ljq9+Tx998JWVqjEvP3Dhdk/qlRrg6AAAAAOieCBABoJfwlxyXd+VyyTAUfevnJUken1/bTtXJOWaGbMPQwUHD5XOevyhJYpSlorJqLcjPlsthdnbpbbK/slYPvL1dW0+eDo5N6Jui314/Rf0SYiNYGQAAAAB0bwSIANCD2X6//LuK5ClcrsDBA82DpqnAdTfIkZyiQ6dq5Pb5tSd/7EWP5fb5VVxdf97twpFWXt+kX63bq7/uel8B+9z47ROG6DuzR3XZwBMAAAAAugsCRADogez6ennXr5Z31UrZVadDJ6OiFDhRIkdyis64PWrruiiGIdV5vO1f7CUqrq7X01sP6u+7iuX2n1v4JTc5Tv9x1QRN7Z8eweoAAAAAoOcgQASAHsR/okTewhXybd4geUPDPqNPllwF8+ScMk1GVLQkKSHKJdtu6Ujns20p3nX+7c2dqcHr0zuHS/W/u4q1+miFPlx6vMupr03J1+KJeYp2OiJWIwAAAAD0NASIANBD2LYt95+eU+BkSci4Y+QYWXPmyTF0uAwz9HbeIWlJimpj2BbldCgnOa7d6m2rsrpGvXO4TG8dPqk1RytCrjaUpFjLoVvHDNKdU4YqPTaq0+sDAAAAgJ6OABEAuim7qUlGdHRw2zAMWQVz5f7fv0hR0bKmXyFr1hyZmX1aPYbL6dC4PsnaVnpaiVGtX11Y6/ZqfFZKhz9PsMnn197KWu0sq1ZRWZWKyqq1t7K2xX0HJMbq02Ny9LmxuUqOdnVoXQAAAADQmxEgAkA3Eyg9KU/hCvk2rVfMvd+QY0BOcM45eZpsv1/WlOkh4eKFLBiareO1DapoaGoxRKx1e5URG60F+dnt9hkkyeMPaP+pD8LCau0oq9K+ylr5Aq3fU50ZF62rBmfp+qHZmjEgXWZbH+AIAAAAALhkBIgA0A3YgYD87+2St3CF/Pv2BMe9hSvk+OwXg9uGyyXX7LlhHdvlMLV4Up6WHihRUVm13D6/DKP5mYdRTofGZ6VoQX72ZV196AsEdPD0GRWdDQt3llVrT0XNebcjf5TDMDQ8I1FX5mbpqsFZGt0nmdAQAAAAADoZASIAdGF2Y6O8G9bKu+pd2ZUVoZOuKBmx8e3yPi6HqUXDB2hBfraKq+tV5/Eq3mUpJzku7ODQH7B1uKpOO8/eglxUVq3dFTVq8vkv+DpDUl5qgsb2SdaYPska2ydFIzMSFWPxVQUAAAAAkcTfygCgCwqcqpR3xdvyblwnud0hc0ZauqyCebKmXSEjJqZd39flMJWfltDm/W3b1tGaBm0vrVJRWZV2llVrV3mN6r2+i752cEr82aAwWWMzkzUqM1lxLr6WAAAAAKCr4W9qANAFBSrK5V31bsiYY+hwWXPmyzFy9HmrKXeWWrdXRaVV2lpape0nT2tbaZVON3ou+rqBSbEa2yclGBiOzky+4KItAAAAAICugwARACLMbmqSfaZWZkZmcMwxbISMPlmyT5+Sc8p0WQXz5Ojbr9Nrq2r0aP3xSq09VqH1xyt14NQZtb7ESbP+iTEak3kuLBzTJ5lVkgEAAACgGyNABIAI+eAqQ+/6tTL7D1Dsvd8IzhmGoeh/vV1mSqqMuLhOq8kfsLWt9LTeOlSqwuJy7amouWBgmBxtaXxWqiZkpWhcVorG9klWWmxUp9ULAAAAAOh4BIgA0Ils25Z/357m1ZTf29W81LGkwKED8h8/Jkf/AcF9P/zrjuTxB1T4fpnePHRS7xwuVWWDu8X9HIahkRlJmtA3RRP6NoeGg5LjZLAqMgAAAAD0aASIANAJbLdbvk0b5ClcLrusNHTSsuScPE1GdHSn1rT/VK1+ufmw/rRpj0618BxDQ9KozCTNGJChKwaka0q/NCXw3EIAAAAA6HUIEAGgA9mBgDyvvCjvujVSY0PInJGcImv2XFkzZsqIi++Uejz+gF7ee0x/2fm+tp2sOm8+xulQQU6mrhqSpfm5Wd3idmSPP6Di6nrVebyKd1nKSY6TyxGZRWYAAAAAoCciQASADmSYpgInT4SEh+aQPLkK5ssxZpwMh6NT6mj0+vS3XcX6/ZaDOnGmMWTO5TB19ZC+uml4f83OyVS0s3Nqulwef0BLD5SoqKxabp9fhtF8R3iU06GxfZK1ID+bIBEAAAAA2gEBIgC0E9vjkW/HVjknTZVhnguurIJ58h/YJ+ekqbIK5srRf2Cn1VTv8ekP2w/r2a0Hz7tNeUR6or48c6yu7JfY7VZJ9vgDembLQVU0NCkxylK8K/TrbHtplUpqG7V4Uh4hIgAAAABcJgJEALhMgdOn5V29Ut51q6WGehnRMXKOGRecdwwfqbgfPSYjPqHTarJtWy/tPa7HVu1WWX1TyNyVuX1059ShmtwvTf369dPJkydl2xdaa7nrWXqgJBgetiQxylJFQ5OWHijRouGdsxgNAAAAAPRUBIgAcAls21bg8EF5ClfIX7RdCgSCc96Vy0MCRMM0pU4MD3eWVevhd4u0+cTp4JhpSAuHZutrU4ZqZEZSc13ddPVkjz+gorLqVsPDDyRGWSoqq+ZWZgAAAAC4TASIQA/g8Qd0tKZex7yGmmprNTCJRSQ6iu31yrdlk7yFKxQoORY66XDIOXGyrNnzIlJbZYNbP1vznv53V7E+fD3hxwZn6XsFozU4JXShFo8/oD1lp3Xk5GnFWc5us/hIcXW93D7/ebctt8Tt86u4ul75aZ0X4AIAAABAT9OuAaLb7daSJUt06NAhmaapz3zmM5o2bVqL+9bV1em5557TwYMH5XA4NHnyZH32s59tz3KAHi90EYmA4uNjVVfXoCinySISHcC3c7ua/vpnqb4uZNxITJQ1c46cV8ySmZjU6XV5/QH9ccdh/Xr9XtW6fcHxISnxemjuGM0d1Cdk/3N9UyNnVJQaGhpk23a3WXykzuNVWy+eNIzm/QEAAAAAl65dA8RXXnlFlmXpiSeeUHl5ub73ve9p1KhRio+PP2/fJUuWaNiwYbr33nslSVVVVe1ZCtDjnb+IhKGEuBhFBfySbBaR6ABGemZIeGjmDJJVMF/O8RNlOCNzQXdhcbkefrdIh06fqyvB5dTXpw/XF8YPPu/PPrRvXEqIj9EZu7lnpO6x+Ei8y1JbH9lo2837AwAAAAAuXbv+jXft2rW68847JUmZmZkaMWKENm/erLlz54bsV1paqiNHjugb3/hGcCwlJaU9SwF6PBaR6Di2zyvfti0ynJacEyYFxx19+8kxYpSM2FhZBfPlGJQbsRqLq+v1k5U79dbh0uCYIelTowbq2zNHKiMuusXX9YS+yUmOU5TT0aZ9o5wO5STHdXBFAAAAANCztWuAWFlZqYyMjOB2ZmamKisrz9vv+PHjSktL09NPP63Dhw8rISFBn/3sZ5Wb2/pfxr1er7zec7ehGYahmJiY4K97mg8+U0/8bLh8zYtI1CgxyhUc+6BVDEOy7eaNxCiXispqdN3Q/l32arKuJFBTI++alfKuKZR95oyMjMzmqwvNc793MV+5O2S7s9V7fPrNxn16estBefznFm6Z1DdVD88bq3FZrf9jzEf7pqWekbp+30Q5HRrXJ0Xby6qUcIGrC894vBrfJ6XNYSMuju8mhIueQbjoGYSLnkE46BeEi545J6wA8aGHHlJJSUmLc48//rik0N9Uu5V7zHw+n/bv369bbrlFX/nKV7R9+3Y9/vjjevLJJ+VwtPwXvRdffFEvvPBCcDs3N1ePP/54SGDZE2VlZUW6BHRBe8pOyxkVpYT4mPPmPvrIgKa6RjVYMcrpk9pZ5XU7jQf2qfr1V1W/brXk9wfH7YpyJVedUuzosRGsrlkgYOuv2/bru6+v14na+uB438RYPXrdDH1mwlCZ5oW/1Frrm5YeM9HV++a2jEz9atV2ldU2KinGdd58TaNHg1OTdNvs8XIRILY7vpsQLnoG4aJnEC56BuGgXxAueibMAPHHP/7xBefT09NVXl6uxMRESVJFRYUmTpx43n4ZGRlKTU3V6NGjJUnjx4+Xz+fTqVOnlJmZ2eKxb775Zi1cuDC4/UFQWVFRIZ/P1+JrujPDMJSVlaXS0tJWg1j0XkdOnlZDQ8PZZ9c1M4zmIKiuri7k+XANjW4dKTmp5IA7ApV2XbbPJ9/2rfKsfEeB4vdDJ01TzvET5SqYr+rUdNWcPBmRGj+w7liFfrJyl3aVVwfHXA5Tiyfm6e5pQxXvslRWVtr6Ac76aN+01jNS9+ibW/KztHR/iXaUVcvt85+9kvKDKxSTtSA/S6cqyiNdZo/CdxPCRc8gXPQMwkXPIBz0C8LVG3rG6XS26eK8dr2Fefr06XrzzTeVl5en8vJy7dmzR3fcccd5+w0ePFixsbEqLi5WTk6ODh06JElKTW39ShfLsmRZLd+q1lP/EKXmz9aTPx8uTZzlPNsX53rjg1tQm9vlw+P2h/aHJNl+vxoe+aHsUx95xEJcnKwrZsuaNUdm8rlbgSP1e3fg1Bn9dPVuvX04NBz82OAs/WDOaA1Kbr5ysK31fbRvWuuZD47Z1fvGMg3dOLy/rs3vp+LqetV5vIp3WcpJjgveet2V6+/O+G5CuOgZhIueQbjoGYSDfkG46Jl2DhBvvPFGLVmyRPfcc49M09Ttt98evDVu2bJlqqqq0i233CLDMHTnnXfqqaeektfrlWVZ+sY3viFnhFYxBbobFpG4PIbDIUf+MPnOBohmdv/m1ZQnTpbhOv922M5WUd+kX63fq7/uLJb/Q19SIzMS9d3ZozU7p+UrtS+mp/aNy2EqPy0h0mUAAAAAQI/VrolddHS07rvvvhbnrr766pDtIUOG6LHHHmvPtwd6DZfD1Ng+ydpeWtXqarqSVOv2anxWSpdcCKMz2H6/fDu2ybdhraJvu0NG1LmVia2CebIbG+SaM1/m4Lwu8VDcM26vntt2SL/bfFD13nOPZsiKj9a3rhipm0cMkOMizzm8EPoGAAAAAHApuOQP6KYW5GerpLZRFQ1NLYZBtW6vMmKjtSA/OwLVRZZdd0betavkXb1Sdk2NJMm3cb2s2XOD+ziy+yvmtq9EqMJQ9R6f/rD9sH6/5YCqm86tNh9nOfW1KflaPHGIYqz2OV2H9s35V1v25r4BAAAAALSMABHoplwOU4sn5WnpgRIVlVXL7QvIbTpU1+BWlNPU+KwULcjP7lVXkfmPH5O3cIV8WzZKH1lcybd/X0iA2BU0en36044jemrzAZ1u9ATHHYahW8fk6N+mD1dGXPQFjhC+0L6paV5tudEt27YV5XT0yr4BAAAAAFwYASLQjbkcphYNH6AF+dk6WlOv6MQkNdXWaGBSXK8JgGy/X/6dO+QpXK7AoYOhk4Yhx+ixsubMlyNvaGQKbEGTz6+/7nxfT27cr4qGc6scm4Z08/AB+vr04R36/MEP+ua6of3VYMXoSMlJxVnOkMVHAAAAAAD4AAEi0AM0LyKRqL59s3TyZO9aHcq7crk8L/+/0MGYGFnTZ8qaPVdmWnpkCmuBxx/Q/+4q1m827lNpXVNw3JB0w7D++rfpwzQktfMWA3E5TOX0SVVywN2regYAAAAAEB4CRADdih0IyDDPXSXnnDJNnldflvw+GX2y5CqYL+eUqSELpkRao9env+0q1u82H9TJusaQuevy++nfpg/XsPTECFUHAAAAAMCFESAC6PLsQED+XUXyrlwuc2COohZ9IjhnJiTKtejjMvtkyTFsRJdYTfkDNU0e/XfRET239ZBOfegZh5J01eAs3TdjuEZlJkemOAAAAAAA2ogAEUCXZTfUy7t+jbyrVso+fUqS5C85Lte1C2VERQX3c82ZH6kSW1TZ4NZzWw/pTzsO64wndDGXK3P76N+mD9fYrJQIVQcAAAAAQHgIEAF0OYHSE/KsXCHf5g2SJ/TKPSM+XoHTp+To2y9C1bXuxJkG/X7zQf11V7GafP7guGlIC4f2151T8jUiIymCFQIAAAAAED4CRABdgh0IyP/eLnlXLpd//97z5h0jRskqmCfH8JEhz0DsCg5X1WnJpv36x55j8gXOLUZimYY+OXKgvjolX4OS4yNYIQAAAAAAl44AEUDXEPDL/bc/yz5Te24sKkrW1BnNqyn3yYpcba3YXV6t3246oNf2l+jDaxjHOB36zNhB+vLEPPVNiIlYfQAAAAAAtAcCRAAREaitkZl47nZew2nJOXO2vG+8JiM9Q9bsubKmXSEjpusFcJtKTunJTfu14khZyHhilFNfGD9YXxo/RGmxUa28GgAAAACA7oUAEUCnsQMB+fe+J2/hCvn37VHsQ/8uMyU1OG/NnCPHgBw5Ro7ucrcp27atwuJyPblxvzaUnAqZS4+N0uKJQ/S5sblKiLIiVCEAAAAAAB2DABHoBTz+gIqr61Xn8SreZSknOU4uR+cFdHZTk7wb18lbuEJ2RXlw3Lu6UFE33BTcNhMTZY4e22l1tUXAtvXGwRN6cuN+7SqvCZnLTojRVybn65bROYp2OiJUIQAAAAAAHYsAEejBPP6Alh4oUVFZtdw+vwxDsm0pyunQ2D7JWpCf3aFBYqCiXN5V78q7fq3kbgqZM1LTZKalddh7Xy6vP6B/7juuJzft16HTdSFzQ1LideeUoVo0vL+sTgxiAQAAAACIBAJEoIfy+AN6ZstBVTQ0KcHllD8QUK3bqyZfQG6/X3sra7T0wEndOCxbfRNilBEXrYzYKEW1w5V0/iOH5Vm2VP49u5oTyw9x5A+TNWeeHKPGdrnblCWp0evT33YV6+ktB1VypjFkblRmku6eOlTXDOknh2lEqEIAAAAAADoXASLQA9m2rWe2HNBbh0tVWtekivomeQN2i/suPXgiZDs1xqUhKQnKT0tQfmqC8tISNDw9UZlx0W1+/0B5qfzv7Tw3YFlyTp4mq2CeHP2yL+kzdbSaJo/+tOOInt92SKcaPSFzU7PTdNfUoZqTkynDIDgEAAAAAPQuBIhAD+L2+fX/3juqZ7cePO95fW11utGj042ntOlE6EIhGbFRGpmR1Py/zOb/z02Ol1F1SrJtmekZwX2dE6fI/fI/ZLhcsmbPkTV9poy4+Mv6bB2lrK5Jz207pD8XHVGdxxcyNy+3j+6aMlRTsrvurdYAAAAAAHQ0AkSgB7BtW8sOndRjf3hHh0/XnjefGGUpPTZKKdGWYiynohymDEMK2NKpBrcGJcfL4w+ooqFJx2oaVFbfdN4xKhrcWllcrpXF5ZJta1rTaf1r3VEV1JdpT3aeDlzzCY3MTNLw9ETFWpZi7/2GjIxMGY6uubhIcXW9frf5gF5476jc/kBw3DSkhUOz9bUpQzUyIymCFQIAAAAA0DUQIALdXFldk761bGtzsPchqTEuje2TrNzkOCVFu1p9/elGtz4+YqAm9E0NjtW6vTp4+owOnDqj/adqtaeiVu9V1KixoVE31J/QZ2uLle89t7DI0JJDumvZBlU4o2VIGpwSf/ZqxTPBqxXDuQW6o/gDtt59v0x/LjqiFUfK9OGbul0OU58aOVBfmZyvnOS4iNUIAAAAAEBXQ4AIdGMr3y/TfW9sCXlm3xUD0vUvo3K0uaRS6W0I7WxbindZIWOJUZYm9k3VxLOhYuD0KXlXvSvPujUyGhtC9i11ROmvCQPVZDRfaWhLOlRVp0NVdXplf0lwv9Zuge6MxUhK6xr1/947pv/ZeUTHa0MXRomznPrc2EG6fWKe+sRHPuQEAAAAAKCrIUAEuqnfbzmgRwp3B7f7xEXrvz4+R9PTY+TxB7SrvLpNx4lyOlq94s5ualTTX/4k/87tkm3rw1GfmTtE1px56jNstK6tqtfAihq9d/Z/+yprQ24Llj5yC/RZ0U6HRqQnakRGkganxGtgUqwGJsVpQFLseaHmxXj8ARVX16vO41WM06Faj0+bS07prcOl2nry9Hn790uI0WfHDtLnx+Ze8ApNAAAAAAB6OwJEoJsJ2LYeKdylZ7YeCo7Nz+2jX1w7SaMGD9LJkyflcpga2ydZ20urlBjVehBX6/ZqfFaKXA6z5R2iomVXND/zUJLkcMo5aXLzasoDciRJlqQpsdEhC434AgEdPl2n3R8KFXeX16iqKXR14yafX9tKq7SttOq8t06NcWlgUpz6J8YqNcal5GiXUqJdSo5xKcbpkNM0ZEs64/Zq/fFKHTh1RrVur6qbPKpu8spvn7/qtCGpYFCmPj82V/Nzszrl6kcAAAAAALo7AkSgGwnYth54a5v+vvtocOy+6cN17/RhcpihIeCC/GyV1DaqoqGpxRCx1u1VRmy0FuRnNx+76rR8u4rkmj03uI9hGLLmzJPn9VdkzZoj5xWzZCYkXrROp2lqaHqihqYn6uYRAyQ1L/RSVt+k3eXnQsX3Kmr0fnV9i8doXg3ao+0thIvhGpqWoOvy++kTIwZqIM83BAAAAAAgLASIQDdh27YefrcoGB6ahvToleN165hBLe7vcphaPClPSw+UqKisWm6fX4bRfDFhlNOh8VkpujavnxzFh9W0crl8RdulQECOnFw5BuYEj+OcMl3OKdNlOC/vdGEYhrLiY5QVH6MrB2cFx+s8Xu2rPKOjNfU6WlOvYzUNZ3/doNK6Rp1/HeHFJUdbyoyL1oDEWKXEuFSQk6lFwwdcVv0AAAAAAPRWBIhAN/GzNXv0x+1HJDWHh7+5boquH5p9wde4HKYWDR+gBfnZwecDxrssDYx3ydyxVd5f/re8x4+GvMZbuEKOz30xuH25weHFxLssTeqXqkn9Us+ba/L5VVbXpKomj6qbPKpqbP5/ty8gt9+vwuJyxVlOuRymYi2H4l1OJUe7ZH3kluyismotyM9u/VZtAAAAAADQKgJEoBv468739eSm/cHtn1898aLh4Ye5HKby0xIUqKmWd80K+daskl13JmQfIz5BzlkFsq4oaLe6L1f02QVecnT+bccHTp1RRX2T0mKjLnoct8+v4up65acldESZAAAAAAD0aASIQBe3+miFvr98R3D7R/PG6hMjB4Z9HM+Kt+X55z+kQOjqyOaAgbLmzJdzwiQZzvBWPo6kOo9XRhvXQDGM5v0BAAAAAED4CBCBLuxIVZ2+9upG+QLNTwK8feIQfXH84Es6ltkv+1x4aJpyjpsoa858mYNyZbQ1ietC4l2WWlhouUW23bw/AAAAAAAIHwEi0EU1eH36yisbVetuvnLuY4Oz9L3Zoy/6ukBtjTyrV8oxcJCco8YExx1Dh8vMy5djcJ6smQUyk1M6rPbOkJMcpyino037Rp29FRoAAAAAAISPABHogmzb1gNvbde+U7WSpLzUBP16wSQ5zNavFPQXv6+T//dX1a9dJfn98g/JCwkQDcNQ7D3f6PDaO4vLYWpsn2RtL61SYlTrVxfWur0an5XCAioAAAAAAFwiAkSgC/rjjiP6577jkqR4l1O/u2Fqi7fg2n6/fDu2yrtyhQLvHw6ZCxw5rMCpSplp6Z1ScyQsyM9WSW2jKhqaWgwRa91eZcRGa0F+2xecAQAAAAAAoQgQgS5mZ1m1HincFdz++dUTlZcaunqwXXdG3rWr5F29UnZNTegBYuNkzZgla9YcmampnVFyxLgcphZPytPSAyUqKquW2+eXYTQ/8zDK6dD4rBQtyM/m6kMAAAAAAC4DASLQhZxxe3XXa5vk8TcvdnL7xCFakN8vZB+77ozqH/6u5A1dVdjs208Ziz6u+rxhktV7FgxxOUwtGj5AC/KzVVxdrzqPV/EuSznJcQSHAAAAAAC0AwJEoIuwbVsPvr1dxTX1kqRxfZL1nVmjztvPiE+QI2+o/Ht2S4Yhx+ixsubMlzN/mJL69VPDyZOy27o8cQ/icpjKT0u4+I4AAAAAACAsBIhAF/HXncV6ZX+JJCkxyqkn542Uli9Tw55dirn7fhnmuavprPlXyezbr/k25bPPODSM1hdYAQAAAAAAuFQEiEAXsKeiRg+/WyRJGuo5o9/GNijlP38iz9nblP27iuQcOz64v3PocDmHDo9EqQAAAAAAoJchQAQi7Izbq3te3ahZtSf1uTPFmtp0WjrxoR0MQ/7jR0MCRAAAAAAAgM5CgAhEUKCuTq89/7968shOZfubQiejo2VNnylr9lyZ6RmRKRAAAAAAAPR6BIhABG3/05+18OD2kDEjs4+sgnmypkyXER0dmcIAAAAAAADOIkAEOokdCEiBgAxn8392G45X6nt18Xrp7HzVoHz1vfZaOYaNCFkwBQAAAAAAIJIIEIEOZjc0yLthrbyr3pVVME+uuVeqrK5Rd722SRVWvB5JHaFB0ybrS1fN0JHqetWVVSveZSknOU4uB0EiAAA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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f = plt.figure(figsize=(16,8))\n", "plt.title('h=%g' % h)\n", "plt.scatter(X, t1, c= colors[1], alpha=.5)\n", "plt.plot(domain, prediction, lw=2, c=colors[1])\n", "plt.plot(x, y1, linewidth=2, color=colors[2], linestyle='dashed', label='Real function')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 261, "metadata": {}, "outputs": [], "source": [ "def select_bandwidth1(X, t, hs, args):\n", " XX = expand(X, **args)\n", " mse = []\n", " for h in hs:\n", " y = [local_regression(x, XX, t, h) for x in XX]\n", " mse.append(((y - t) ** 2).mean())\n", " return hs[np.argmin(mse)], np.min(mse)" ] }, { "cell_type": "code", "execution_count": 262, "metadata": {}, "outputs": [], "source": [ "hs = np.linspace(0.001, 0.002, 10)\n", "h_star,mse=select_bandwidth1(X, t1, hs, args)" ] }, { "cell_type": "code", "execution_count": 263, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/ny/mqy36hy55r3c22qq88f88lbm0000gn/T/ipykernel_71164/2341070764.py:7: RuntimeWarning: invalid value encountered in divide\n", " y = (weights*t).sum(axis=0)/weights.sum(axis=0)\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "args = {}\n", "hs=np.linspace(0.1, 1, 10)\n", "h_star = select_bandwidth(X, t1, hs, args)\n", "prediction_star = [local_regression(x, X, t1, h_star) for x in domain]\n", "fig = plt.figure(figsize=(16,8))\n", "plt.scatter(X, t1, s=20, color=colors[1])\n", "plt.plot(domain, prediction_star, linewidth=2, color=colors[6], label=f'Predictions: $h^*={h_star:3.2f}$')\n", "plt.plot(x, y1, linewidth=2, color=colors[2], linestyle='dashed', label='Real function')\n", "plt.legend()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.8", "language": "python", "name": "python3.8" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.0" } }, "nbformat": 4, "nbformat_minor": 4 }