{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\"Open" ] }, { "cell_type": "code", "execution_count": 244, "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": 131, "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": 132, "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": 133, "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": 134, "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": 135, "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": 136, "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": 137, "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": 138, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "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": 139, "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": 140, "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": 141, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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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": 142, "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": 143, "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": 144, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "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": 145, "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": 146, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "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": 147, "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": 148, "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": 149, "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": 150, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "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": 151, "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": 152, "metadata": {}, "outputs": [ { "data": { "image/png": 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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": 153, "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": 154, "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": 155, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "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": 156, "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": 233, "metadata": {}, "outputs": [], "source": [ "def posterior_predictive_ss(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": 158, "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_ss(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": 160, "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 = 4\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_ss(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": 198, "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", "Integrating over model parameters or using a good approximation for it allows us to estimate values for $\\alpha$ and $\\beta$, and hence the regularization strength $\\alpha / \\beta$, from training data alone i.e. without using a validation set." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The sets of gaussian basis function models are compared on the basis of the log marginal likelihood computed with a dataset of nexamples observations. We still assume that the values of $\\alpha$ and $\\beta$ are known and will see in the next section how they can be inferred by maximizing the log marginal likelihood. When plotting the posterior predictive distribution of the polynomial models we can see that a model of degree 5 has already sufficient complexity to explain the data reasonably well." ] }, { "cell_type": "code", "execution_count": 201, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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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_ss(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'Grado = {d}')\n", " plt.ylim(-1.0, 2.0)" ] }, { "cell_type": "code", "execution_count": 200, "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", "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": [ "In the case considered here, maximization of the log evidence (and of the log marginal likelihood) w.r.t. $\\alpha$ and $\\beta$ gives the following implicit solutions\n", "\n", "$$\n", "\\alpha = \\frac{\\gamma}{\\mathbf{m}_n^T \\mathbf{m}_n} \\tag{21}\n", "$$\n", "\n", "and \n", "\n", "$$\n", "\\frac{1}{\\beta} = \\frac{1}{n-\\gamma} \\sum_{i=1}^{n}(t_i - \\mathbf{m}_n^T \\boldsymbol\\phi(\\mathbf{x}_i))^2 \\tag{22}\n", "$$\n", "\n", "where \n", "\n", "$$\n", "\\gamma = \\sum_{i=0}^{m-1} \\frac{\\lambda_i}{\\alpha+\\lambda_i} \\tag{23}\n", "$$\n", "\n", "\n", "and $\\lambda_i$ are the *eigenvalues* of $\\beta \\boldsymbol\\Phi^T \\boldsymbol\\Phi$. The solutions are implicit because both $\\alpha$ and $\\beta$ depend on $\\gamma$ and $\\gamma$ depends on both $\\alpha$ and $\\beta$. Solutions for $\\alpha$ and $\\beta$ can therefore be obtained by starting with initial values for these parameters and then iterating over the above equations until convergence." ] }, { "cell_type": "code", "execution_count": 202, "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, Sigma_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'Convergence after {i + 1} iterations.')\n", " return alpha, beta\n", " if verbose:\n", " print(f'Stopped after {max_iter} iterations.')\n", " return alpha, beta" ] }, { "cell_type": "code", "execution_count": 203, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Convergence after 28 iterations.\n", "alpha* = 0.002585530784425867\n", "beta* = 11.95743703033089\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": [ "Alternatively, we can also use *BayesianRidge* from scikit-learn for Bayesian regression. The `fit` and `predict` methods of this estimator are on the same abstraction level as our `fit` and `posterior_predictive` functions. The implementation of `BayesianRidge` is very similar to our implementation except that it uses *Gamma* priors over parameters $\\alpha$ and $\\beta$. The default hyper-parameter values of the Gamma priors assign high probability density to low values for $\\alpha$ and $\\beta$. In our implementation, we simply start optimization from low $\\alpha$ and $\\beta$ values. Note that `BayesianRidge` uses different parameter names (`lambda` instead of `alpha` and `alpha` instead of `beta`." ] }, { "cell_type": "code", "execution_count": 175, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Convergence after 42 iterations\n", "alpha* = 0.001329221500470919\n", "beta* = 10.357590703400017\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": 206, "metadata": {}, "outputs": [], "source": [ "X_test = np.random.rand(10)" ] }, { "cell_type": "code", "execution_count": 209, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Prediction mean: [ 0.26438084 0.58303922 1.02006328 0.47320425 0.23710132 -0.4545883\n", " 0.41543868 -0.00474321 1.11682793 1.37637563]\n", "Prediction std: [[0.34454471]\n", " [0.4954849 ]\n", " [0.39073191]\n", " [0.39910521]\n", " [0.33922578]\n", " [0.32631807]\n", " [0.38092934]\n", " [0.37000358]\n", " [0.39660691]\n", " [0.39255339]]\n" ] } ], "source": [ "y_np_mean, y_np_var = posterior_predictive_ss(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": 222, "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": 236, "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": 237, "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=20, color=colors[1])\n", "plt.plot(x, y1, linewidth=2)\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": 238, "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)\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": 243, "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": 245, "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": 246, "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='Predictions')\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": 247, "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": 248, "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": 249, "metadata": {}, "outputs": [ { "data": { "image/png": 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AAAAAALqIM/scZmTtVYXHUmQHOzCkoKZaT+fs0IsH96rW7w+0J0Z2V9WoMdLmTZJhyDVmvMy58+VM6dt2xQKdCAEiAAAAAABdyMLByR0mMDyjuLZGz+Ts1AsH9mhiYbF+fyJf/502UHZ4hO5KG6Wv9U+TebpcVnikzFlz5ejZq61LBjoVAkQAAAAAANAuldTW6E/7dusf+3Zpdl6+Xj1+QoMr6w5G+W2trYnXf17R7pC6wdExCvnCl9uwWqDzIkAEAAAAAADtSl51pZ7dv1tv7Nutq4/l6s3j+UrweILGXHGqVGGmu40qBLoWAkQAAAAAANAuHDhdpj/m7NLanN268Xiu3skrUKTPFzTG0a+/3HPmyzlytAzDaKNKga6FABEAAAAAALSpbSVFenrvTr174oiuOFWiJTv3yrTtQL9tGHKNGFUXHPYf2IaVAl0TASIAAAAAAGh1PtuvZXnH9df9e7S+KD/Q/nH37qpxOmR6fbJdLpkT0+WePU+O+IQ2rBbo2ggQAQAAAABAqyn11OqVw/v04v49Gn70qIbUerQ+JUmSFBcSpu+MGKaIqHiZliVzxmw5uke1ccUACBABAAAAAECL21teor8dyNY7h/bps8dP6NncPPWuqVWNw9DW/qn68vCx+mLfgQp1OqXBI9q6XADnIEAEAAAAAAAtosbn07u5R/TS4RztP3FMX83N15IT+Yr2nj0YJdRv67WoeIX0H9KGlQI4HwJEAAAAAADQbJbk5Grxxh0qcJxWVUi1+lRX6ZvHT+ja/EKFnHMwiiQ504bJnLNAzsGEh0B7RoAIAAAAAAAuW7XXq0c/2qKXDuXIG+6VJN2/75BuOpEvxznjbIdD5viJMmfPlzO5d9sUC6BJCBABAAAAAMAlsW1bm08V6t9HDug/uYdUblmS+2z/kdDQs+FhSKjMqdNkzpwjR0yPtigXwCUiQAQAAAAAAE1ypPK0/u/oAb129ICOVlbI7ffr2pOF2hjVXUfCwySPQ0aFW6/7B+gGs0irevbVokXfkREW1talA7gEBIgAAAAAAOCCyi2P3j5+WK8dPaBNxQWSpCjL0m0nTurm3HzFWpbeiE/SfVHDJI9ThgxVS7o+6QoN6RWluwkPgQ6LABEAAAAAADTI8vu1puCEXjt6QEtPHFWt3y9JSqqp0deP5+mLeQUK/6RNkq4pOqk/dh+pYzICbdFhbi1K55AUoCMjQAQAAAAAAAG2bevjU4V6/dhBvZ17RMW1NYG+Yacr9K1jJ3Rl0Sk5zz1R2TDkGjNO5pwFuq/GpYysvarwWIp0m1qUPkQLBye3wZMAaC4EiAAAAAAAQPtPl+n1owf1xvGDOlpZEdTX0+NRxt4DmnCqNPhLpikz/QqZs+bK0StWkrRQIjAEOhkCRAAAAAAAuqj86iq9dfyQ3jh2UDtKT9XrD3E4NT+xt65P7qcJOUcC7UZkN5kzZsmcNlNGRGST77skJ1cZWdmq8HgV4Xbp7vQ0QkegHSNABAAAAACgCym3PFqSe0RvHjukDwvzZH+qv5vXp2/5DfWZMl1XJfVRN9MtSbJmz5NnVabcs+fJNTFdhtt9SfdfkpOre1dsVWmNFWi7d8VWSby5CLRXBIgAAAAAAHRytT6fMvOP641jh7Qi/1jgMJRzzQwJ112FJUrbvVtGbY3CZ31GDvNsSOiaOl2uK2bIcDguq5aMrOyg8FCSSmssZWTtJUAE2ikCRAAAAAAAOiG/bSurKF9vHDukJblHVGZ56o3pG9FN34qI1uf2H1DY9o2Szxfo82QuV+hNXwt8NpzOZqmrwuNtpN1qsB1A2yNABAAAAACgE9lXXqrXjh7Q68cOKq+6ql5/r5BQfS65r27yGeq7aaN8e5YGD3C65Jo0We7Z81ukvkh3w1FEpNtskfsBuHwEiAAAAAAAdHAlnlq9deyQXjt6QFtLiur1R7hcujKpj65L6a8ppeXy/ecN+Y8dke/cQWHhMqfNkDljthzdo1qs1kXpafX2QIwONbUofUiL3RPA5SFABAAAAACgA/L6/Vp18oT+dXS/luUdk+dT+xq6DEOz4pN1XUp/LUhMUZirLgLw5hfIOnbOicoxPWTOmisz/QoZoaEtXveZfQ4zsvaqwmMp0l0XHrL/IdB+ESACAAAAANCB5JSX6tUj+/T60YMqrK2p1z8iqoe+2HeArkvprxiPR6qpkcN19q//zpGjZfSKlRESKnPOfLnGjm+2/Q0v1sLByQSGQAdCgAgAAAAAQDtX7fPqneNH9PLhHG0qLqjX3yskVNen9NcNfQdoaFQP+QtOyvPGv1W1KUvOgYMV9r0fBMYaDofC7vyxjO7dZRhGaz4GgA6KABEAAAAAgHYqu6xELx/O0f8dPVjvFGW3w6F5CSm6oe8AzYxPlulwyHfooKpf+6d8O7ZJti1J8u3ZJd+JXDmTzr7x54hquT0OAXQ+BIgAAAAAALQj1T6v/nP8sF4+lKOPThXW6x/cPVo39xus61NSFRMSKtvvl2/XdlWtWCb/oQPBg0NCZE6ZLiMispWqB9AZESACAAAAANAO5FZV6O8H9+rlw/tU6qkN6gt1OvW55H66OXWwxvWIlWEYsm1b1vq18mQuk11wMmi80T1K5sw5MqdOlxEe3pqPAaATIkAEAAAAAKCN2LatDcUn9bcD2XrvxFH5Pll2fEZa9xjdnDpI16cMUJTbHdRnGIasDeuDwkNHQqLM2fPlmjBRhstslWcA0PkRIAIAAAAA0MpqfD69eeygnj+QrV1lp4L6TMOhz/Xup6/1HxJ421CS/KUlMqKigw4+cc+dr5pnD8gxcJDccxbIOXS4DIejVZ8FQOfXIgFiXl6ennrqKZ0+fVrh4eG644471Lt373rjMjMz9cYbb8i2bY0YMULf+c535Gzlo+MBAAAAAGgJS3JylZGVrQqPVxFul+5OT1N6357624FsvXAwW6c+tUw5NiRUt/QfoptThyguNCzQ7jt+VNaKZfJu/Uih3/uBXEOGBvqcw0cp7Mf3yZnSp9WeC0DX0yIB4p///GfNmzdPs2bNUlZWlp555hk9+uijQWMKCgr06quvavHixYqKitKvfvUrZWZmav78+S1REgAAAACgDTUUpi0cnHzhL3ZQS3Jyde+KrSqtsSRJttOvOzeulX+XR5btDxo7Oqanvj1gmD7bu6/cjrqXamzblm/vHlkrlsqXkx0Ya2UuCwoQDYeD8BBAi2v2ALGsrEyHDh3Sz372M0nS5MmT9dxzz6mgoEBxcXGBcVlZWZo4caKio6MlSfPnz9dbb73VaIBoWZYsywp8NgxDYWFhgR93NmeeqTM+G1oGcwZNxZxBUzFn0FTMGTQVc6bzqgvTtqm0xhNou3fFNhmGcVkhYnueMxlZe1VaY8k2fbK710oRlmoNSZ9sceg0DF3du5++PXCYxvWIDXzP9vnk/XiTPJnL5M89HnRNIyJSztQBkm2zTPkStOf5gvaJOXNWsweIxcXFiomJCSxFNgxDvXr1UlFRUVCAWFRUpNjYs79JxsXFqaioqNHrvv7663rttdcCn1NTU7V48eKga3RGCQkJbV0COhjmDJqKOYOmYs6gqZgzaCrmTOfzh5dWBYWHklRa49EfNu/Xt2dOuOzrt7c5Y9u2SlQtf1ylFOYN6jNsQ/81erzuHjNJfbtHBdr91VUqW75UJe+8JW9x8N+NzfgExXzuOnWfNVeOkJBWeYbOrL3NF7R/zJkWWsJ8scnsuePsT5009WnXX3+9rr766nrfLSwslNfrbexrHZZhGEpISFB+fv4Ff24AiTmDpmPOoKmYM2gq5gyaijnTeZVWVTfanpeXd8nXbW9zxrZtrSvM12/3bFV+5KdekPEZMk67NdDVU/89aIRUWaW8yqqz3UcOqervfw36iqNvqtxzF8g1aoyqHQ5Vnwo+bOVSLcnJ1ZPrs1XhsRThdumHU4Z26uXkZ7S3+YL2ryvMGZfLdVEv5zV7gNizZ08VFxfL5/PJ6XTKtm0VFRWpV69eQeN69eqlgoKCwOfCwsJ6Y85lmqZMs+Ej6DvrL6JU92yd+fnQ/JgzaCrmDJqKOYOmYs6gqZgznU+ku+G/ekaaZrP8Wp9vzrTG3ou2bWt9Ub5+u2ebNhSdDO70GjLKQ6QKt2JC3PrxtGF19Xo8MtzuwDBHn35yDBgk/4F9co4YJfec+XL0Hxh4eaa5/pn49N6MkvTT5Vtk23aXCBElfo9B0zFnpGbfNCEqKkqpqalas2aNJGnDhg2Ki4sLWr4s1e2NuGnTJpWWlsq2bS1btkxTp05t7nIAAAAAAG1sUXqaokODXwiJDjW1KH1Ii973TFi2t/i0ck9XK6f4tO5dsVVLcnKb5fp1bxzm6YY17+vLa5YGhYcDu0Xpm72HK60mWb0VrbQeUXp8zmh9xlGp6j89peqMX9ULJEI+f4PC7/25wr57u5wDBrXIvmsZWdlB4aEkldZYysja2+z3AtB5tMgS5ltvvVVPPfWUXn/9dYWFhemOO+6QJP3xj3/UhAkTNGHCBMXHx+uGG27QAw88INu2NWLECM2ZM6clygEAAAAAtKEzb7ZlZO1VhcdSpLsuPGzpN97OF5Zd7r3XFeY1+MbhwG5RuittlD7Xu5+chkOaJNl+v3zbtsjz9j9UffRIYKwve7dcQ4cHPjt7t/xpyhWehrcAq/BYDbYDgNRCAWJSUpIeffTReu3f+973gj7PmzdP8+bNa4kSAAAAAADtyMLBya2+RLYlwrJtJUVavOtjrSkI3rtxQGR33TV0tK45ExxKsj0eWRvWyVq5XPanDkYxomMkT/DBMq2h0eXk7oa3DAMAqYUCRAAAAAAA2lpzhmUHT5fp17u36O3cI0HtDQaHFaflWf2BrLUfSJWVQeMdyb1lzpkv19gJMpzOJtdxuRalp9XbA7E1lpMD6NgIEAEAAAAAnVJzhGX51VX6XfY2/e/hffKds2dhn/BI/WjYGF2bkhoIDs+off01eTdvCGpzDhkqc858OYcMbZG9DS9WWy0nB9CxESACAAAAADqlywnLyjwePZOzQ88d2KMany/Q3iskVHeljdJNqYPldtS9QWjbdlAoaM6aUxcgOhxyjZ1QFxz2Tmnmp7t0bbGcHEDHRoAIAAAAAOi0mhqWWX6//nFwr57M3qZST22gPdJl6rZBw/XdQcMU4TJl+/3y7tgmT+YymZOnykyfGhjrTOkr9xdvlGv4KDl69GjW5wGAtkCACAAAAADo8mzb1vL843pkx2YdrCgPtLsdDt3Sf4h+MGSUeoaEyrYsWevXyrNyueyT+ZIkq6pSrknpMhxnlzK7p89q7UcAgBZDgAgAAAAA6NJ2l57Swzs2a21h8MnKn0/prx8PG6uUiEjZVZXyLHtP1qpM2afLg8bZti27vKzuZGUA6IQIEAEAAAAAXVJBTbWe2L1FrxzeJ/uc9ok94/TzURM1OqaX/KeKVfv+ElnrP5TOWdIsSY4BA+Wes0DOYSOC3j4EgM6GABEAAAAA0KVU+7x6dt9uPZWzQ5Veb6C9T3ik7h85QVcl9ZFhGLKrKlX12C8k6+wpzjIMOUeNqQsO+6W2fvEA0AYIEAEAAAAAXYJt23rvxFE9tGOTjldVBtq7uUzdmTZK3xwwVCFOZ6DdCI+Qa9RYeT/aKJmmXJOmyD17nhyxcW1RPgC0GQJEAAAAAECnd/B0mR7YtlGrC04E2hwydHPqYP1oyEh1371T3j8/Jfu735fhMgNjzLkLZMTGyj19lozIbm1ROgC0OQJEAAAAAECnVeW19Pvs7frzvt2ybH+gfXpcon4xZJT67dwp61ePqrbklCTJu2mjzClXBMY5k3vLmdy71esGgPaEABEAAAAA0OnYtq13co/ooR2blFddFWhPDovQI/2HavreHFm/+ZU85/RJkm/f3qAAEQBAgAgAAAAA6GT2ny7Tg9s2aE1BXqDN7XDop72SdNOR47KXPSPL5w36jnP4SLnnLJBjwMDWLhcA2j0CRAAAAABAp1BhWfpd9jY9u3+3vLYdaJ8dn6zFlqFu//qX7HO/4HTJNWGS3HPmyZGQ1Or1AkBHQYAIAAAAAOjQbNvWm8cO6eEdm3SypjrQ3js8Qr8YNUkLElNkl5Wq6s1/S36/FBYm84oZMmfMkSMqqg0rB4COgQARAAAAANBh7Sou1PfWvK91hfmSpFCfT18sKNK0+GTNmXedwlx1f+01omNkzpkvI7KbzCnTZISGtmXZANChECACAAAAADqcCstSRvY2PXdgj7x+v2I8lm46ka+v5xeoW61HxolChV5zQ9B3Qj53fRtVCwAdGwEiAAAAAKDDsG1bbxw/pEd2bFZBTbX6VFfrG8fzdH1+oUL9/rPjKk7Lt3e3XCPHtF2xANBJECACAAAAADqE7LISPbBtg7KKTmpk+Wnde+yEFhSdkuPcQQ6HXGPGy5wzX86UPm1VKgB0KgSIAAAAAIB2rdzy6Ld7tupvB7Lls239YWe25hWXBA9yh8iccoXMmXPk6NmrbQoFgE6KABEAAAAA0C7Ztq3Xjx3UIzs2q7C2JtBeHBUlfRIgOqOi5Zw+U+bUGTIiItqqVADo1AgQAQAAAADtzp6yU3ps41oN3LVT3oQ4yW0qxOHUfw0ZqZtmXS37L0/LnDFHKZ+7VieLi2XbdluXDACdFgEiAAAAAKDdKPN49JdNaxW2bo2eyDupCJ9fIX6/9k+Zqp+PmqSUiEhJkn3Pz+RwOORwu9u4YgDo/AgQAQAAAABtzm/bWvrRelUtf1/fyTsZ9JfV2wpLFD1ppgynM9BmGEbrFwkAXRQBIgAAAIAub0lOrjKyslXh8SrC7dLd6WlaODi5rcvqEmzb1sGPN6rgvbc1raAwqM/rdMo9eYqiZs8PCg8BAK2LABEAAABAl7YkJ1f3rtiq0hor0Hbviq2SRIjYwkqOH1Xxc39UwqlTij+nvdLtlnPaTPWYM1+Obt3brD4AQB0CRAAAAABdWkZWdlB4KEmlNZYysvYSILYQn+3XK4f36/fbNurf5WWB9rzwMFnTZmro/IUy2NsQANoNAkQAAAAAXVqFx9tIu9VgOy6Nv6xM/sMHtSOlt362dYO2lxZLkl5JStC0kjIVT52meQs+qxCX2caVAgA+jQARAAAAQJcW6W74r0WRboKs5uA/mS9P5jJZm7LktW19c/JYFZ/zduGxqdPUd/REpYdHtmGVAIDzIUAEAAAA0KUtSk+rtwdidKipRelD2rCqjs22bfkP7pcnc5l8O7dLkgxJpqSbc/P1+9Q+GtI9Wg+PnqwpsQltWisA4MIIEAEAAAB0aWf2OczI2qsKj6VId114yP6HTWf7/fLt2CbPiqXyHzkU1FfudOrVpHi93be3fjlqkr7Wf4hcDkcbVQoAaAoCRAAAAABd3sLByQSGl8naslmet9+UXVQY1J4X4tYLyYl6LTFOnx2Qpn8PH6deoWFtVCUA4FIQIAIAAABAO7AkJ1cZWdmq8HgV4Xbp7vS0DhVq2qdPB4WHeyPC9deUJC2J7amhPWL18pjJGtcjtg0rBABcKgJEAAAAAGhjS3Jy6+3DeO+KrZLULkNEf1Gh5HDK0aOHpLo9D99PTtI409TuiHA9l5KkD2OiFBMSqkeGj9ON/QbKabBcGQA6KgJEAAAAAGhjGVnZQeGhJJXWWMrI2tuuAkTfkcOyMpfKu22LXJOnKvQrt2jrqSL9cvtGbT5VqJgJo1XiNuU0DH2z/xDdPXSMYtwhbV02AOAyESACAAAAQBur8HgbabcabG9Ntt8v355d8mQulX//vkC7tSlLjybH629FeYG2ErepWfHJenDkBA3qHt0G1QIAWgIBIgAAAAC0sUh3w381i3SbrVzJWbbXknfzJlkrl8mfnxfUVx0Wpr8mxum1/GOSq672gd2i9ODICZqd0LstygUAtCACRAAAAABoY4vS0+rtgRgdampR+pBWr8X2WrI+yJS1KlN2eVlQX2VMD/0pKV4v9Oguj6NuT8Mo060fDh2jW/oPkelgn0MA6IwIEAEAAACgjZ3Z5zAja68qPJYi3XXhYZvsf+hwylq/Nig8rOydoqeT4vV8qEu2YUiSnIahW1KH6IdDRysmJLT16wQAtBoCRAAAAABoBxYOTm6TwNBfXCRHz16Bz4bDIffseap97RVVpw3T00nxetZbHfSdmXFJenDURA1mn0MA6BIIEAEAAACgg1iSk6uMrGxVeLyKcLt0d3raJYWOtm3Ll7NXVuZS+bJ3K+y/H5Az6ex1ikaN1t+sav2xpED+c8LDtO4xum/EeM2KT5LxyZuIAIDOjwARAAAAADqAJTm59fZJvHfFVkm66BDR9vnk3fqxrMyl8h8/Fmi3Vi6X8+av67Tl0TM5O/WX/btV4/MF+hPDwvWTYWP1+T795TQa3uewucJNAED7Q4AIAAAAAB1ARlZ2UHgoSaU1ljKy9l4wqLNra2St/1DWqhWyT50K6jN69pK/T189f2CPMvZs0ylPbaCvm8vUfw0ZqW8OHKowZ+N/fWyOcBMA0H4RIAIAAABAB1Dh8TbSbjXYLkn+8nJZqzNlfbhaqqoK6nOk9JVj9jy9Ed1NT+bs1IltRwJ9puHQ1wYM0Z1DRqnHRRyQcjnhJgCg/SNABAAAAIAOINLd8F/fIt1mo9/xHzkoa9l7QW3OocPlnDNf74Sa+u2ebTp85HRQ/zW9++me4ePUN6LbRdd2KeEmAKDjIEAEAAAAgA5gUXpavWXC0aGmFqUPkVR3MIo8tTLOeWPQOXyUjLh42cVFco2fKHP2PC21fXpiz1bllJcGXX9OfLJ+PGysRsb0bHJtlxJuAgA6DgJEAAAAAOgAziwFzsjaqwqPpUh3XXh41cBEebdtkSdzqYzQMIV9/87AdwyHQ6E3f0OKitbq2ir9evcW7SgtDrru1NgE/WTYWE3oGXfJtV0o3AQAdGwEiAAAAADQQSwcnBwIEm2PR95NWar6559kFxYExvhyj8uZ3LtujG1rbZhbv9uepU3FBUHXGhvTS/cMH6dpcYnNUpdUP9xk/0MA6BwIEAEAAACgA7ErK2StXSVr9QeyK4L3L3QkJkk11bJtW5n5ucrI3qatJUVBY4ZFxejHw8ZqXkJvGYbRbHWdG24CADoXAkQAAAAA6AD8xUWyVi6XtWGd5PEE9TkHDZE5d4GMIUO1NO+Y/rDybe0oPRU0ZmC3KP1w6Bh9NrmvHM0YHAIAOj8CRAAAAADoAGpf/rt8+3PONhiGXGPHy5wzX+qdoiW5R/X7zLeVXV4S9L207jG6M22UFib3kdNwtHLVAIDOgAARAAAAANoZ27YlKWiJsTl7Xl2A6HbLTL9C5qy5sqJj9M+jB/SnZW/qQEV50DVGRvfQnWmjtSAxhTcOAQCXhQARAAAAANoJ2+uV9+NNsjKXyX3tF+QaOjzQ5xw2Qu4vfFnm+EkqN009e2iv/pqVqYLa6qBrjI3ppbvSRmtOQnKz7nEIAOi6CBABAACADmZJTq4ysrJV4fEqwu3S3elpHF7RwdnV1bLWrZG1KlN2WakkycpcFhQgGg6HiidM0rMHduulQzmq9HqDrpHeK14/GDJK0+MSCQ4BAM2KABEAAADoQJbk5OreFVtVWmMF2u5dsVWSCBE7IH9piaxVmbI+XCPV1gT12R6PbI9HhtutPWUl+vO+XXrj2EF5P1neLEmGpIXJfXXboOEa2yO2lasHAHQVBIgAAABAB5KRlR0UHkpSaY2ljKy9BIgdiO9ErqzMZfJ+tFHy+892GIacI0bJPWe+lNpf7+cd11/379H6ovyg74c4nLqh7wDdOmi4UiO7S+LNVABAyyFABAAAADqQCo+3kXarwXa0P/6Ck6pe/HBwo8sl18R0uWfPU3lMjF44vE9/f/91HauqCBoWZbr19f5p+uaANPUKDQu082YqAKAlESACAAAAHUiku+E/wke6zVauBJfKERcv56Ah8u3bK4WHy5w2U+b02dovv54/sEf/zlqhal9wUNw/sru+OSBNN/QdqAhX/V9r3kwFALQkAkQAAACgA1mUnlbvTbPoUFOL0oe0+L1ZIts0dm2NrKx18mXvUeittwcdbOK+8rPyjRwt/8TJeq+4QC9vW691hfn1rjE7PlnfHDBUM+OT5DjPwSi8mQoAaEkEiAAAAEAHciawy8jaqwqPpUh3XXjY0kEeS2Qvnr+8XNaalbLWrpKqqiRJvt075Ro+MjDmaEKCXq4u1z8z/6NTntqg70e4XLqhz0B9c0Ca+neLuqh78mYqAKAlESACAAAAHczCwcmtHtqxRPbC/Cfz5Vm5XN5NWZI3+I1A38ED8g8dpvdPHNNLh/bqwwbeNuwf2V239B+iL/UdqO6mu0n3bss3UwEAnR8BIgAAAIALYols43wH98uTuUy+ndsl2z7b4XDINX6Sjk+apJdrKvX6u6+pqLYm6Lum4dBVyX301dQhSu8VH7TMuSna6s1UAEDXQIAIAAAA4IJYItuw2nf/I+u9d4IbQ0LlnTxF7wzop38UF2jXzk31vpca2V039RukG/oOVM+Q0GappS3eTAUAdA0EiAAAAAAuiCWyDXONHHM2QOwepYNjx+mZHlF6r6RA3oPZQWPdDocWJPbRV1MHa2pswiW/bQgAQGsjQAQAAABwQV19iaxdWSlr7SoZsXEyx00425GcrKLxE/RhqFtPhLpU5K2RTgUvUx4T00tf7DNA16SkKsYd0sqVAwBw+QgQAQAAAFyUrrhE1l9cJOuDFbKyPpQ8HhnxCXKMHqstpcV66/ghvXP8iAoiTUm25D37dmZCaLi+0Ke/vtBngAZ1j26z+gEAaA4EiAAAAADwKb5jR2StWCbv1o+CDkbxFZzUN/71gj5wO+t9J8zp0meSUnRDn4G6Ii5BTsPRmiUDANBiCBABAAAAdHhLcnKVkZWtCo9XEW6X7k5Pa/LbkrZty5e9W9aKpfLt2xvUV+106LWEOL2QnKjcc8LDEIdDsxN665reqZqbkKxwV9c+VAYA0DkRIAIAAADo0Jbk5NY74OXeFVsl6aJDRNvnU/VvF8t//GhQe7Hp0ovJiXolKV6lZl046DIMzYhL0ud6p2pBUoq6m+7meRAAANopAkQAAAAAHVpGVnZQeChJpTWWMrL2XlSAWFRTrQ9OnlBPl6GJn7QdDgvV872T9GZ8L9U6nTINh2bFJeqqpD66KqmPYkJCW+BJAABonwgQAQAAAHRoFR5vI+1Wg+3ekhLlZr6vNwYN1LLifG0vKZYtaXDPKP38VDc9n5KozJ49FGaamh/fW1cm9dHshGTeNAQAdFkEiAAAAAA6tEh3w3+tiXSf3Y+wpLZGm3dtU8iaVRp56JB62raO5B3VtqT4wJicyAjdlT5BCxJT9HxSH10Rm6gQZ/3DUgAA6GoIEAEAAAB0aIvS0+rtgRgV6tLCkXF6YtfHKt69U9N379aMU6VB37v5RL7+lRinodE91NeM0p6jlfKdcujj4mrNjDQUkkB4CACARIAIAAAAoINbODhZftvWrzbt1ClVyeu2VOMs1+4Ne/WtYyc0oqIyaHyZy6UNQwbLnjpdG/sP1pbjpZ8KIGuafAgLAACdGQEiAAAAgA7Htm0dqTytDwvztbYgT+sK83QqvFaSNKbstH6VvU8pNbVB3ymPjNTpqVeo35wF+nxYRKD961lZl3UICwAAnR0BIgAAAIB2z2/b2lteqo1FJ7Wx+KQ2FhUov6aqwbG5oSFKqPUEPvuSkhU+70oljhmnpAb2NGzqISwAAHQ1BIgAAAAA2h2P36cdJcXaWFygjUUntam4QGWWp964flXV6ltdoy0JcZrSK0HT4hI1LS5JYX637PIymXMWyDl4iAzDaPReF3MICwAAXRkBIgAAAIA2V+m1tOVUkXYf3acVhw/o41OFqvH5Gh2fXlGlO/MKNOZEnnzh4Yq45XsyQ0MD/faNX5VxkScoN3QIS3SoqUXpQy79gQAA6EQIEAEAAAC0ulO1NYG3CzcWn9TO0lPy2Xaj43u4QzSpR6yuO12lSTt2KOzY0UCfq6pK2rxRmjYj0Hax4aF09qCUjKy9qvBYinTXhYfsfwgAQB0CRAAAAAAtLreqQhuLCj7Zv/Ckck6XnXd87/AITeoZr0m94jWpe4z67s2WtXK57IKTQeOMqCiZM+fINW7CZdW3cHAygSEAAI0gQAQAAADQrGzb1r7TZZ+8XVj3lmFudeV5vzO4W5Qm9YrXgoFDNMQVoqRPTkn2rF4pa+mz8pwuDxrvSEiSOWeeXOMnyXDx1xoAAFoS/6YFAAAAcFGW5OQqIytbFR6vItwu3Z2epoWDk+X1+7W7rEQbivK14ZMDT055ahu9jtMwNDK6pyb1itOknvGa2DNOPUJCZRiGEhMTlZeXJ/uT5cx2eZnsc8JDx8BBcs9ZIOfQ4TIcjhZ/ZgAAQIAIAAAA4CIsyckNHDRiy5ZCfFq0fp1+dzhMR2rKVOn1NvrdUKdT43vEBpYkj+vRS+Gu+icc+44dlTc8PKjNnD5b1gcr5Bo+su5E5b79gmpqKNAEAADNiwARAAAAwHlVei09smmrToWclqK8UohPMqRqSbsrquqNjzLdmtgzTpN71QWGI6J7yO1o+FAT27bly94ta8VS+fbtVekXviTNnBvod0RFKeKX/09GRETQ984NNM+4d8VWSSJEBACgmREgAgAAAAhS4/Ppo+ICrS3M04cFedpeWixfmC2FNTw+LjSsLizsGa/JveI1pHu0HIZx3nvYPp+8H2+SlblM/hO5gfbS999VePo0ye0OtH06PJSkjKzsoPBQkkprLGVk7SVABACgmREgAgAAAF2c1+/XjtJirS3I07rCfG0qLlCt39f4FyyHVOuUUeNS/7Aorbx+gYwLBIZn2DXVstatlbUqU3ZpSVCfERunXtd9QVUXsbdhhafhJdMVHqvBdgAAcOkIEAEAAIAu6Ejlaa3Mz9XqghPKKszXaW/jwdugblFKNCP10aFyVZ2WDF9dwBcdauqeySMuKjy0q6rkWf6erHVrpOrqoD5Hv1S55yyQa9QYRScnq/qcQ1QaE+lu+K8yke76eysCAIDLQ4AIAAAAdAG1Pp82FJ3UypO5Wpl/XAcqyhsdmxwWoSviEjUtNlFTYxMUH1Z3sMmSpFxlZO1VhcdSpNvUovQhF79c2OmUtf7DoPDQOWKU3HMWyNF/gAzDuOi3GCVpUXpavT0Qo0PragIAAM2LABEAAADopPKqKrU8/7gy849rXWG+qnwNL/vt4Q7R1NhETYtL1BWxCeob0a3BMG/h4OSLCgxt25ZdWCBHXHygzQgJkTl9pqzlS+WaNFnu2fPliE+45Gc7U8clB5oAAOCiESACAAAAnci+8lK9d+Ko3jtxVNtLixsc4zQMjesRqzkJvTUrPknDonpc8NCTi2H7fPJu31J3MEpursJ/8agc3aMC/e5Zc2VeMVOOqKjzXOXiXWygCQAALg8BIgAAANCB2batrSVFev+T0LCxpcmxIaGaGZ+sOQm9NT0uUdHukOarweORtWGdrJXLZRcXBdqt1SsVcvV1gc9GeIQuP6YEAACtjQARAAAA6ID2lJXozWOH9NbxQzpWVdHgmOFRPfSZpBTNTUjRiOjmecvwXHbFaXlWfyBr7QdSZWVQ3/7QKL12oFxTc3J5SxAAgA6OABEAAADoII5Untabxw7pzeOHlFNeWq/fkDSxZ5yuTOqjzyT1UZ+Ibi1Sh7+oUJ7MZfJuXC9Zwac3b4iI1Z8j+yortKfkN/SfFVsliRARAIAOjAARAAAAaMfKLY/eOnZI/zp6QB+fKqzX75ChaXGJujq5r+YnpqhXaFiL1+TL3i3vh6vPKcIh17iJurOyu96vdgaNLa2xlJG1lwARAIAOrFkDxNraWj3zzDM6cOCAHA6HbrrpJk2ePLneuFOnTumZZ55RQUGBTNNUUlKSbr31VkVGRjZnOQAAAECHZNu2sopO6tUj+/RO7hHV+Hz1xkzoEatrU1L12eR+im2m0HBJTq4ysrJV4fEqwu3S3elpumpgouSplXHOPVyTpqh2yX8kryVzynSZs+bIEdNDO599X1J1vetWeKx6bQAAoONo1gDxP//5j0zT1B/+8AcVFBTo/vvv1/Dhw+sFgw6HQ1/4wheUlpYmSfrHP/6hl156SbfddltzlgMAAAB0KPnVVfrXkf169ch+Hak8Xa8/rXuMrktJ1TW9U5US0bz/8X1JTq7uXbFVpTV1YZ/b79O6f7+pCbW56j5osEJv/npgrOF2K+zb35MjMUlGeHigPdLd8F8vIt1ms9YKAABaV7MGiOvWrdPtt98uSYqLi9PQoUO1efNmzZo1K2hcdHS0oqOjA58HDRqkZcuWnffalmXJOmd/FcMwFBYWFvhxZ3PmmTrjs6FlMGfQVMwZNBVzBk11uXNmSU6unlyfrQqPpQi3Sz+cMrRTLoO1bVsbik7q+QN79N6Jo/LZdlB/lOnWdSn99ZXUQRoR3bPF6sjI2qvSGkvdfZa+fPqovlp+RL38HkmS96ONsq++Vo7omMB418BB9a5x95Sh+unyrSqt8QTaokPduntK2kXNA36fQVMxZ9AUzBc0FXPmrGYNEIuKihQbGxv4HBcXp6KiovN+x+/36/3339fEiRPPO+7111/Xa6+9FvicmpqqxYsXB92vM0pISGjrEtDBMGfQVMwZNBVzBk11KXPm/7bv132Z23WqqibQdl/mdsXEROvzowY2Z3ltptLy6KW9u/T0jo+0o7j+3oZzU/rpm0NH6fr+QxTqavmty7tVn9ZPi/foCxXHFW4HL5kOG5ymXpGRCklMPO81vp2YqJiYaD20bLNO13rULcStB+dPaPKvGb/PoKmYM2gK5guaijnTxADxwQcfVG5uboN9ixcvlhScytqf+q+nn2bbtp599lmFh4fryiuvPO/Y66+/XldffXXg85n7FBYWyuv1XlT9HYlhGEpISFB+fv4Ffx4BiTmDpmPOoKmYM2iqy5kzDy7JCgoPJelUVY0eXJKlKbERzVlmqztScVovHMzWq4f3qczyBPXFhoTqptTBurHfIKV8coJySWH9cLE5+Y4dlSdzqf66e7OcOvvr5JO0PDxemX1G6Onvf0mnJCkv74LXmxIboXdvmhnUlncR35Pqz5mu8hYqLh3/bkJTMF/QVF1hzrhcrot6Oa9JAeJDDz103v5evXqpoKBA3bt3l1QX7o0bN67R8c8//7yKi4v1k5/8RA6H47zXNk1Tptnw3imd9RdRqnu2zvx8aH7MGTQVcwZNxZxBU13KnGns0I0Kj9Vh59+OkmI9nbNTS3KPyK/gZxjfI1bfGJCmhcl95XbUnWLcGs9p27aqX3hWdsFJnTk7ucZw6PXI3nqhez+d7halx+eOafWfc9u29c7e40F7MkrST5dvkW3bhIioh383oSmYL2gq5kwzL2FOT0/X+++/r4EDB6qgoEB79uzRrbfe2uDYv/71r8rPz9dPfvITuVphSQYAAAA6js5yGIdt21pTkKc/7tupNQXBb+GFOBy6NqW/vt4/TaNiWm5vw6B6/H4Z5/yHe8Mw5J49T7WvviRFROjIsPH6eW20TthORbpN3Zc+pM3Cuoys7KDwUJJKayxlZO0lQAQAoJU1a3J3zTXX6JlnntEPfvADORwOffvb3w6cwLx06VKVlJToy1/+srKzs/Xee+8pOTlZ9913n6S6/RJ/8pOfNGc5AAAA6KAWpafVe/ssOtTUovQhbVjVxfPZfr2Te0R/zNmpHaWngvp6hYTqmwOG6qupg9UjJLRV6rFramStXyvrgxUKvfUOOZN7B/pcE9Pr/n/CZA13u/VaYxdpZRWehrcpauztVAAA0HKaNUAMDQ3V3Xff3WDfggULAj9OS0vTP//5z+a8NQAAADqRM2+YZWTtVYXHUqS7Ljxs72+eef1+vXX8kH6XvV0HK8qD+vpGdNP3Bg3XF/oOUJiz8T+GL8nJVUZWtio8XkW4Xbo7Pe2Sn9tfVipr1UpZ61ZL1dWSJGvlMjm/+s3AGMM0ZU6dfknXb0md5S1UAAA6A9YOAwAAoE01Fpid+V9HcL7gcGR0T90+eISuSu4jp3H+fb+X5OTWe/Py3hVbJalJPxf+/BPyZC6Xd/MGyRd8orJdW1tvKXN71NHfQgUAoDMhQAQAAECbaa7ArK34bL/ePNZwcDg1NkF3DhmlqbEJMgzjoq53Ofv+2bYt/4H98mQulW/XjuBOp0uuCZPknjNPjoSki6qlrXXUt1ABAOiMCBABAADQZjrqQRl+29Y7uUf0m91bdOBTweGUXgm6e+hoTYlNaPJ1L2ffP9/+HNX8z5PBjWFhMq+YIXPGHDmioppcT1vrSG+hAgDQmREgAgAAoM10xIMy1hbk6bGdH2lHaXFQ++Re8frR0DGXFByecTn7/jkHDJIRnyD7ZL6M6BiZs+bKnDJNRmjrHNQCAAA6LwJEAAAAtJmOdFDGjpJiPb7rI60pyAtqn9QzTj8aNkZTYxMv+x4Xs++fXXFanjUfyC44qdCvfyfQbjgcCvnc9bJra+QaO0GG03nZ9QAAAEgEiAAAAGhDHeGgjMMV5fr17i166/jhoPahUTG6d/g4zYpPvug9Di/kfPv++QsL5Fm5XN6N6yWr7ufLN3eBnL37BL7vGjm6WeoAAAA4FwEiAAAA2kx7PiijzOPR77K36W8HsmXZ/kB7SnikfjxsjK5L6S9HMwWH5/r0vn++w4dU/dc/ybd9q2TbZwc6HPIfPhQUIAIAALQEAkQAAAC0qfZ2UIbX79fLh3P0xO6tKvHUBtp7uEN0V9po3Zw6WCEtvDzY9vvl271Tnsyl8h/YH9zpDpE5dZrMmXPl6NGjResAAACQCBABAACAgFUnc/XQjs3KKS8NtIU4nLpt0HB9b/BwdTPdrVJH7SsvyrthXVCb0b27zBlzZF4xXUZ4RKvUAQAAIBEgAgAAADpwukwP79isFfnHg9qvS0nVT4ePU3J4ZKvW4xo9NhAgGvEJcs+eL9fESTJc7e9wGQAA0PkRIAIAAKDLKvHU6nd7tumFg9nynrO/4NiYXvr5qIka3zOuRe/vP3VK1qoVcg4bIdeQoYF257ARck2aItfosXIOGyHD4WjROgAAAM6HABEAAABdjt+29b+H9+n/7fpYpefsc5gQGq77RozXtSmpLXJAyhm+48dkZS6Vd8tHkt8vf+7xoADRMAyF3vz1Frs/AABAUxAgAgAAoEvZVlKk+7dmaVtJcaAt1OnU7YNH6LZBwxXeQsuEbduWb+8eWSuWypeTHdTnO3xQ/tISOaJjWuTeAAAAl4MAEQAAAF1CiadWv9r1sV46lCP7nPbrUlJ13/DxSmyhg0lsn0/eLZtlZS6TPzd4j0VFRMicNkvm9JlydOveIvcHAAC4XASIAAAA6NT8tq1/Htmvx3d+pFPnLFce3D1aj4yerCmxCS12b7uqUlW/elR2yamgdqNnL5mz58mcPFWGu3VOdgYAALhUBIgAAADotHaWFuv+rRv08anCQFuEy6W7h47RtwYMldnCh5MY4RFyxMbJ90mA6OjTV+45C+QcPZaDUQAAQIdBgAgAAIBOp8zj0a93f6x/HMyR/5wFy9f07qefjZygxLDmX67sz8+TtWmD3J+9JigcNOcukFym3HPnyzFgkIwWPJwFAACgJRAgAgAAoNPw27b+ffSAHt35kYprawLtA7tF6eHRkzUtLrFZ72fbtvwH98uzYql8u3ZIkpyp/eUaMSowxpU2TK60Yc16XwAAgNZEgAgAAIBOYU/ZKd2/dYM2FRcE2sKcLt09dLS+PXCo3A5ns93L9vvl275Vnsxl8h85FNRnfbg6KEAEAADo6AgQAQAA0KGVWx79dvdW/e1gtnz22eXKn03uqwdHTlRSM56ubHs88m5cL8/K5bKLCoP6jOgYmbPmypwyrdnuBwAA0B4QIAIAAKBDsm1brx87qEd2bFbhOcuVUyO76+HRkzQzPrlZ7+fdsVU1//uiVFkR1O5ISpY5Z4Fc4ybIcDbfW45ouiU5ucrIylaFx6sIt0t3p6dp4eDmnQcAAHRFBIgAAADocLLLSvSzbRu0oehkoC3U6dSdQ0bp1kHDFdICQZ7Ro1dQeOgcnCZz7gI5hwzlYJR2YElOru5dsVWlNVag7d4VWyWJEBEAgMtEgAgAAIAOo8Ky9GT2Vj23f0/QcuUrk/ro56Mmqnd4ZLPcx3fksOyaGrmGpAXanMm95Rw2UkZYqMw58+Xs3adZ7oXmkZGVHRQeSlJpjaWMrL0EiAAAXCYCRAAAALR7tm3rreOH9fCOTTpZUx1o7xvRTQ+PnqTZCb0v/x5+v3x7dsmzYqn8B/bJiIuX896fy3A4AmNCv/v9oM9oPyo83kbarQbbAQDAxSNABAAAQLu2r7xUD2zboA8L8wNtIQ6n/mvISH1v8AiFXuZyZdtrybt5k6yVy+TPzzvbXnBSvl075Bo5OtBGeNh+Rbob/qtNpNts5UoAAOh8CBABAADQLlV6Lf0ue7v+sm+XvOcsV56X0Fu/GD1JfSO6Xdb17aoqWevWyFqVKbu8LKjPiIuXe858OdOGXdY90HoWpafV2wMxOtTUovQhbVgVAACdAwEiAAAA2hXbtrXkxBH9cvsm5VVXBdpTwiP1y9GTND8x5bLvUfuf12Wt+UCqrQ1qd/QfWBccDh/J24YdzJl9DjOy9qrCYynSXRcesv8hAACXjwARAAAA7cbB02V6YNtGrS44EWgLcTj0/cEjdfuQEQpzNs8fX+3ysrPhoWHIOXKM3HPny9mvf7NcH21j4eBkAkMAAFoAASIAAADaXLXXq9/v3a4/79slj98faJ8Vn6yHRk9SamT3S7qubdvy5eyVM7W/DLc70G7Oni/vlo/kmpgu9+x5csTFX/YzAAAAdFYEiAAAAGgztm3rvRNH9cvtm5RbXRloTw6L0M9HTdSVSX1kGEbTr+vzybvlo7qDUY4fU8gNN8mcNiPQ70xKVsTDv5IRFtYszwEAANCZESACAACgTWSXlegX2zcGna5sGg7dNni4fjBkpMJdTT89166tkbX+Q1kfrJBdcirQ7lm5TK6p04L2NSQ8BAAAuDgEiAAAAGhVJZ5a/Wb3Fv3jYI78Onu68vS4RD08erIGdItq8jX95WWyVq2U9eFq6ZyDVyTJkdJX5tz5l103AABAV0WACAAAgFbh9fv10qEcPbFnq0o9Z08/7hMeqZ+NnHBJy5X9ZaXyvPsfeTdukHzeoD7nsBEy58yXc+DgS1oGDQAAgDoEiAAAAGhx6wrz9PNtm5RdXhJoC3O69IMhI/XdQcMV6nRe4pWN4PDQ6ZRr/ESZs+fLmcRpvAAAAM2BABEAAAAt5lB5qX6wfqXePXEkqP36lP66d8Q4JYZFXPS1bL9fdmGBHPEJgTZHVJRcEyfLu/UjmVOny5w5R47omGarHwAAAASIAAAAaAGlnlr9z94dev5Atjx+X6B9VHRP/XL0JE3oGXfR17I9Hnk3ZsmzcpnsqipF/OIxGSEhgX73Z69VyPVflBHKoSgAAAAtgQARAAAAzcbj9+nvB/cqY882lVmeQHuvkFD99/Bx+lLfgXJc5H6EdmWFrDWrZK35QHbF6UC7tWGd3DNmBz47undvtvoBAABQHwEiAAAALptt23on94ge3/WRjlZWBNpDnS59e+BQ3T54hLqb7ou6lr+oUNYHy2VlrZMsK6jPOWgIexsCAAC0MgJEAAAAXJbNxQV6ZMdmfXSqMKj9C30G6InZn5FZUSXbti94Hd+xo7JWvC/v1o+lc8c7HHKNGSdzzgI5U/o0d/kAAAC4AAJEAAAAXJLsshI9sXuL3s87FtR+RWyC7h8xQaN69FJityjlVVRd1PW827fKu+Wjsw1ut8z0K2TOmitHz17NWToAAACagAARAAAATXK4oly/3bNNbxw7qHPfKxzcLUr3j5yg2fHJMi6wz6Ht9Uo+r4yQ0ECbOX2WrMylMkLDZM6cLfOKmTIiLv6UZgAAALQMAkQAAABclLzqSv0+e7teObxP3nOWGMeHhunuoWP05b4D5XI4znsNu7pa1rrVslZlyjVpikKuvi7Q5+jeXWG33yVHn34yTLOlHuOSLMnJVUZWtio8XkW4Xbo7PU0LB7MXIwAA6BoIEAEAAHBexbU1emrvDv39YLZq/f5Ae4w7RHcMGamv9R+iMOf5/1jpLy2RtSpT1odrpNoaSZL14Wq5518Z9Baic8CglnmIy7AkJ1f3rtiq0pqzB7rcu2KrJBEiAgCALoEAEQAAAA06VVujv+zfrecP7FGl1xtoj3SZum3QcH174FB1u8DJyrVHDqv6ny/Lu3mjdE74KMOQc+Bg2dXVQQFie5SRlR0UHkpSaY2ljKy9BIgAAKBLIEAEAABAkIKaav1p307942COqn1ng8MQh1PfHJCm2wePUMx5Qj/btuXbt1dW5jKd3rMruNPlkmvSFLlnz5MjLr6lHqFZVXi8jbRbDbYDAAB0NgSIAAAATdRZ98PLq6rUM/t26uVD+1Tr9wXa3Q6Hbuw3SD8YMkoJYeEXvpBlqeZvz0qVFWfbwiNkTpspc/osObp3b4HqW06ku+E/Mke629c+jQAAAC2FABEAAKAJOuN+eMcqK/R0zg7988h+ec5ZZhzicOqm1EH6/qARSgxv/DRk2+eT4XQGPhtut8zpM2W9945csXFyzpgt1+SpMkJCWvQ5Wsqi9LR6v+bRoaYWpQ9pw6oAAABaDwEiAABAE3Sm/fB2lZ7Sn/ft0lvHDwWdqhzmdOmW/oN126ARigsNa/T7/vIyWatXyrthncJ+fJ8cUdGBPvf0WXImJCrlys8qv6BA9jnX72jO/LpmZO1VhcdSpLsuPOxov94AAACXigARAAB0GO1h6XBH3w/Ptm2tKjihP+/bpTUFeUF9kS5TX++fpu8OGqae59nj0H8yX56Vy+TdtEH65HAVa9VKhVxzfWCMEdlN5riJQW8mdmQLBycTGAIAgC6LABEAAHQI7WXpcEfdD8/j9+nNY4f0p327tLe8NKgvxh2ib/RP0zcHDlWMu/Flxr6D++XJXCbfjm3BHQ6HZHlaoGoAAAC0BwSIAACgQ2gvS4c72n54JbU1+t/D+/TXA3t0sqY6qK9vRDfdOmiYbugzUGGuhv9YaPv98u3YJk/mMvkPHwzuDAmVecV0mTPnyBEd01KPAAAAgDZGgAgAADqE9rJ0uKPsh7etpEgvHMjWW8cPB52oLEnje8TqtkHDtSApRU7Dcd7reD/aqNoX/xbUZkRFyZw5V+bU6TLCGt8jEQAAAJ0DASIAAOgQ2tPS4fa6H16Nz6e3jx/WCweztbWkKKjPkPSZpD66bdBwTegZd9HXdI0eJ88b/5ZdcVqOxCSZc+bLNW6ijEbeWAQAAEDnw5/8AABAh3A5S4fbw+ErLelYZYVePLRXrxzep1Oe2qC+KNOtG/oO1Nf6D1FqZPdGr+EvLpK1crlsv1+hX7op0G643XJff4OM8HA5hw6XYRgt9hwAAABonwgQAQBAh3CpS4fby+Erza3G59P7J47q1SP7tLYgT/an+odH9dDX+w/RtSmpCnc1/pam7+gRWZlL5d36sWTbksMh/4KrgvY0NCdMaqGnAAAAQEdAgAgAADqMS1k63F4OX2kuO0qK9eqRfXrj2CGVferkY9Nw6LO9++rr/dM0vkdso28L2rYt3+6dsjKXybc/J7jT5ZL/6BEORQEAAEAAASIAAOjU2svhK5ejpLZGbxw/pFcP79euslP1+vtEROrLfQfpK/0GKTa08UNNbK9X3o82yspcLn/+iaA+I7KbzBmzZU6bISMistmfAQAAAB0XASIAAOjU2tPhK01R5bW0LO+43jh2UKtOnpBl+4P6Q51OXZ3cT1/qO1CTe8XLcRF7E9b86X/ky8kOajPi4uWePU+uCZNluN3N+gwAAADoHAgQAQBAp3Y5h6+0Nsvv1+qTJ/TG8YNaeuKYqnz1354c1yNWX+47UFf37qfuZtMCP9e4CYEA0ZHaX+45C+QcMUqGw9Es9QMAAKBzIkAEAACd2qUevtJafLZfG4sK9NbxQ3on94hKPnWKsiQlhIbr2pRUfanvQA3uHn3ha57IlbVymcyZc+XsnRJod02YLN/B/TKnTJOz/8DmfAwAAAB0YgSIAACg07uUw1daksfv04cF+XrvxBG9n3dMxbU19cZEmW5dndxP16akXtQSZdu25dufI2vFUvn27Kpr9Pnl/Nq3AmMM01Tozd9ozkcBAABAF0CACAAA0AqqfV6tOnlC7+Ye0fL8Yyq36h/iEup0akFiiq5L6a+Z8UlyO5wXvK7t88m7bYuszKXyHzsa1Ofbu0d2ba2MkJBmew4AAAB0PQSIAAAALaSwplqZ+ce1Iv+4Pjh5QtUN7GkY6nRqdnyyrkruqwWJKYpwXdzhLnZtrawN62StXC77VHFQn9Gjh8xZ82SmTyU8BAAAwGUjQAQAAGgmtm1rV9kpLc+rCw23lhQ1OK6by9S8xBRdldRHs+KTFeZq/I9kS3JylZGVrQqPVxFul+5OT9OVMaaqfrtYqqoMGuvonSJz7gK5Ro+T4bzw24sAAADAxSBABAAAuAxVXksfFuZrRd5xLc8/ppM11Q2O6+EO0YLEPlqY3EdXxCVe1PLkJTm59U6QvnfFVmnOaM3q3l3+TwJEZ9owmXMWyDl4iIwL7JUIAAAANBUBIgAAQBP4bVs7Sou1piBPq0+e0EenCuTx+xscOzQqRnMTemteQm+N6dFLTsPRpHtlZGWrX2mBplYX6emYQZKk0hpLGRtyNH/elfLt3S1z9nw5k3tf9nNdqobekGxPB9YAAADg8hEgAgAAXEBuVYXWFORp1ckT+rAwTyWe2gbHhTicmhaXqDkJyZqb0FvJ4ZGXdD/b75dv53Y9vGeFhledkiStDI/TnpAoSVKFx5I5cbLMiZMv7YGaSaNvSEqEiAAAAJ0IASIAAMCnnLY8Wl+YX/eWYcEJHawob3Rsn/BIzYhP0tyE3roiNvG8+xleiG1Z8m7KkmflctkFJzX8nL4bTh/XQ58EiJHuiztopaVlZGUHhYfSJ29IZu0lQAQAAOhECBABAECX5/X7tb20WKtPntDqghPacqpQXttucGx309TU2ETNiEvS9LhE9Yvsftn3tysrZX24StaqlbIrTgf1HXR303Pd+uqdyCRJUnSoqUXpQy77ns2hwlP/VOm6dqvBdgAAAHRMBIgAAKBLOlJ5WqtPntCagrplyeVWw6GX0zA0rkesZsQlaUZ8kkZF95TL0bS9DM/H+nC1at/4t/SpZdHOgYNlzpmv464Y7dmQoziPpUh3XXjYXt7ui3Q3/EfJ9vKGJAAAAJoHASIAAOgSyjwerSusW5K8uuCEjlZWNDq2f2R3TY+re8twSmyCupnuFqvL6NHzbHhoGHKNGVd3onKfvpKkhZIWDmm7Q1LOZ1F6Wr09ENvTG5IAAABoHgSIAACgU/L6/dpaUhRYlry1pEi+RpYlR7tDNC02UTPiEjU9Pkm9L/Hwk/OxbVu+7N0yQkPlTB0QaHemDZOjX6qcKX1lzporR6/YZr93SznzJmRG1l5VtMM3JAEAANA8CBABAECncWZZ8uqCE1p3nmXJpuHQhJ5xdW8ZxidpRHQPOY3mW5Z8LtvrlffjzbIyl8mflyvHgEEKv/NHgX7DMBR2109kNOOy6Na0cHAygSEAAEAnR4AIAAA6rGqvVx8W5ikzP1erC07oSOXpRscO6hYV2Mdwcq94Rbhadp8+u6Za1ro1sj7IlF1WGmj3H9gn39EjgSXKkjpseAgAAICugQARAAB0KCeqKrUi/7hW5B/X2oI81fp9DY6LcYdo2if7GM6IS1JSeESr1OcvLZG1KlPWujVSTU1Qn6NfqtxzFsjRO6VVagEAAACaAwEiAABo1/y2ra0lRVqed0wr8o9rd1lJg+POLEueEV8XGI6I7iGHYbRanbbPp9pXXpT3o42SLzjUdI4YVRcc9h8goxVrAgAAAJoDASIAAGh3fLZfm4oLtCT3iJbkHtHJmuoGx8WFhmleQm/NSeitaXGJLb4s+XwMp1N2ednZ8NDpkmvSZLlnz5cjPqHN6gIAAAAuFwEiAABoF7x+vzYUndQ7uUf03okjKqytaXDc6JiempeQorkJvTW8ld8yPMP2+eTbvVPO4SOD9i8058yX78hhmdNmyJwxW47uUa1eGwAAANDcCBABAECbsW1b20qK9X/HDuit44dV3EBo6HY4NCMuSZ9J6qPZ8cmKDwtvg0rr2LW1sjask/XBCtnFRQr9zvflGjk60O8cnKaIXz4mIyS0zWoEAAAAmhsBIgAAaHXHqyr0+tGD+r9jB7X/dFm9/hCHU7MTkrUwqa/mJvZWd9PdBlWe5T9dLmvNB7LWrJKqKgPtnhVLgwJEwzAkwkMAAAB0MgSIAACgVXj8Pi09cUwvHcrR2sK8ev0hDofmJqTo6t79NCchuU33MzzDX3BSnpXL5d2UJVlWUJ8zbZjMOQtk2zYHowAAAKBTI0AEAAAt6mjlab18aJ/+eWRfg/saTu4Vry+k9NfC5H6Kcrftm4Zn+E/mq/btN+TbsU2y7bMdDodc4yfKnD1fzuTebVcgAAAA0IoIEAEAQLOzbVurCk7or/v36IOTubI/1d8voptu6DtQ16f0V0pEZJvUeD62zyff9q1nG0JCZU6dJnPmHDlierRZXQAAAEBbIEAEAADNxuP36c1jh/TnfbuVXV4S1OcyDF2Z1Ec3pw7R1NiENjk9uSG2Zck+VSxHfEKgzZmULOfQ4fKfOC5z5hyZU6bLCG+7w1ta2pKcXGVkZavC41WE26W709O0cHByW5cFAACAdoIAEQAAXLYyj0cvHdqrvx7Yo5M11UF9KeGRuil1sL7Ud6DiQsPaqML67KpKWWtXy1q9UgoJUfj9v5ThcAT6Q75yi4yICBntYC/GlrQkJ1f3rtiq0pqzezzeu2KrJBEiAgAAQBIBIgAAuAylnlr9Zd9u/fXAHlV4gw8ZGd8jVrcNGq4FSSlyGo5GrtD6/KeKZX2wQtb6DyVPbV3jacm3Y5tco8cGxjmiotumwFaWkZUdFB5KUmmNpYysvQSIAAAAkESACAAALkGZx6Pn9u/Ws/t36/Q5waEh6TNJfXTboOGa0DOu7QpsgO/4UVkrlsm79SPJ7z/bYRhyjh4ro1ds2xXXhio83kbarQbbAQAA0PUQIAIAgItW7bX0P9nb9UzOTpVZnkC7aTh0Q98Bum3QcPXvFlXve225x5537x5Zy9+XLyc7uMM0ZU6eKnP2PDm6aHgoSZHuhv84GOnu3Eu3AQAAcPEIEAEAwAX5bVuvHz2gJ97/t45XnA60uwxDX+o7UD9IG6Xe4Q2fptzWe+x5P9oUHB5GRMo9fZbM6bNkRLa/E6Bb26L0tHq/PtGhphalD2nDqgAAANCeECACAIDz+rAgTw/v2KxdZacCbQ4ZuqHvAN2ZNkp9Irqd9/utuceeXVMtOZwy3O5Am3vOfHk3rJPRK1bu2fPkmjQlqL+rO/NrkJG1VxUeS5HuuvCQ/Q8BAABwBgEiAABoUF5VpR7asUlv5x4Jap+X0Fv3jhivwd2jL+o6rbHHnr+sVNaqTFnr1sj92Wvlnj4r0OdISFTYnT+WI7V/0CnLOGvh4GQCQwAAADSKABEAAASx/H49t3+3ntyzTVW+s+HfiOgeenLWZzTUGSLbti/6ei25x54v74SszGXyfrRR8vkkSdbK5TKvmBEUFjoHDLzsewEAAABdFQEiAAAI2FRcoJ9uWa+c8tJAW8+QUN03Yrxu6DtQyUlJysvLa9I1m3uPPdu25dufIytzmXy7dwZ3Ol1yDhoi1dZKYWGXdH0AAAAAwQgQAQDoRC71tONqr1eLd3+sv+7fozPvFhqSvpo6RPcMH6tod4gMw7ikmpprjz3b55N3+xZZmcvkPxq8rFph4TKvmCFzxmw5ouqfAg0AAADg0jVrgFhbW6tnnnlGBw4ckMPh0E033aTJkyef9ztPP/20PvjgA/39739XaGhoc5YDAECXcqmnHWcV5evHH63TkcqzpyuPjO6px8aka0yPXs1SW3PssWdXVqr2xb9J3rPLqo2YHjJnzZWZfoUM/hwBAAAAtIhmDRD/85//yDRN/eEPf1BBQYHuv/9+DR8+XJGRkQ2O37x58yW/zQAAAII19bTjaq9Xj+/6SM8fyA60hTic+snwsfrOwKFyGm174Ijt9cpwnf2jiqN7d7kmpsu7fq0cyb1lzpkv19gJMpzONqwSAAAA6PyaNUBct26dbr/9dklSXFychg4dqs2bN2vWrFn1xp4+fVqvvfaaHnzwQa1cufKC17YsS5Z19i9FhmEo7JO9jTpjCHnmmTrjs6FlMGfQVMyZzqfR044tq96v8+7SU7pj4yrtO10WaJvYM06/GX+F+ndreAlwa80Zf2GBPCuXy7tjmyJ+9ksZIWffLAyZf6XMsePlHDKUudsB8PsMmoo5g6ZizqApmC9oKubMWc0aIBYVFSk2NjbwOS4uTkVFRQ2Ofe6553TDDTcoPDz8oq79+uuv67XXXgt8Tk1N1eLFi4Pu1xklJCS0dQnoYJgzaCrmTOcRHR6m3NPVDbYnJiZKqjuA5A/bN+u/P1wpj7/u1OIwl0uPps/Uf42aIKfjwm8dttScqd63VyVvvq7KjeulT055Dtu9UzELP3d20CfPgY6F32fQVMwZNBVzBk3BfEFTMWeaGCA++OCDys3NbbBv8eLFkoJTWdu2Gxy7fv16uVwujR8//qLvff311+vqq68OfD5zn8LCQnm9Db9x0ZEZhqGEhATl5+c3+vMInIs5g6ZiznQ+P5g4UD9dvlWlNZ5AW3SoWz+YMFB5eXkqqqnW3ZvXauXJs/8uHx7VQ09NmqGB3aNVcPLkea/fEnPG9vvl27VDnsyl8h3YH9wZEqKy4mLVNPHUZ7Qf/D6D/9/enQdGVd/7/3+dmTmTlewJIYFAwr7vEkC2sGiprXWptvZ2uUptr9bWpa21i9frbWv9/rrQWou1am8XbW9bt7pdgYQdwioiCEQIW0JC9kDWOTNzfn9QB8cQzMAkIcnz8Vfn8znzOZ9T3pzEF+d8PqGiZhAqagahoF4Qqr5QMy6Xq0MP54UUID788MMX7E9JSVFFRYXi4uIknQ33pkyZ0ua4ffv2ae/evbrzzjsDbffee6++853vKCsr67xjm6Yp0zTP29db/xCls9fWm68P4UfNIFTUTO/xseEZsm27zW7HHxueoW1Vp/TVrWtV0XLuCcUvDxuj+8dOUYTTGVINhKNmbK8l7/Zt8qxZJftUeVCfERcnc26ezNlzZURHU5+9APcZhIqaQaioGYSCekGoqJkwv8Kcm5urN998U8OGDVNFRYX279+v22+/vc1xy5Yt07JlywKfb7rpJv385z9nF2YAAC7Rh3c7tm1bTx96Vz98Z4e8//qlJzUiUj+fdqXm97+0XZEvhbUmX55XXwpqM/qny523WK5pV8hwnf8fDQEAAAB0vbAGiJ/85Ce1YsUK3XXXXXI4HLrtttsCOzCvXLlStbW1uvnmm8N5SgAA0I5Gr6Vv7dqsV0qOBtpmpqTr8SvmKjUyqkvnYtt20DIn5szZ8rz5mmRZcgwdLnfeYjnHjJPRgTUYAQAAAHStsAaIkZGRuueee87bt2TJkna/97e//S2c0wAAoM870nBat20pCNpl+Y4R4/StMZPl6sKQzldyQlbBShkpqYpY+slAuxHbTxE3fEaOARlyDsnusvkAAAAACF1YA0QAAND9NleW6fbCtaq3zm6m0s9l6ufTrtTVGedfZzjcbNuW7+B+Wfkr5Ss6cLYxKkruvCUyPrBciTlzdpfMBwAAAMClIUAEAKAXefZIkb6/uzCw3uGIuAQ9lbtA2bFxnX5u2+eTd9cOWWtWyV9aEtzpcMhfdlLO7JxOnwcAAACA8CJABACgF/DZfv33nh16+vD+QFte/0z9+oq56me6O/XcdkuLrC0bZa3Nl11XG9RnJKfIXLBI5oxZMtydOw8AAAAAnYMAEQCAHu6M5dGd29ZrzanSQNuXh43R98ZPldPo3PUObdtW088ekV1xKqjdkTVY7rwlck6czMYoAAAAQA9HgAgAQA9W1tSoz29erYOn6yRJLsPQjyfl6rPZI7rk/IZhyJx6hTxvvCJJco4ZL/fCxXIMHR606zIAAACAnosAEQCAHurg6Vp9ftNqlTU3SZIS3BF6csZ8zUxND/u5bNuW7/B7Kv3TM9I118lISAj0mXPmyV9XK/f8PDnSM8J+bgAAAADdiwARAIAeaFvVKd26pSCw0/LgmH760+xFYd8sxfb75dvzljwFq+Q/dlSSZMbFK+KT1weOMWJiFfmZfwvreQEAAABcPggQAQDoYf7v5HF9bdt6tfp9kqTxCcn646yFSomMCts5bI9H3q2b5VmbL7uqMqjP9+5e2dd8irUNAQAAgD6CABEAgB7kT8UH9f3dW+WXLUmam5ahJ3PnK8ZlhmV8u+GMPBvWytqwTmpsCOpzZAxU2g2fVkPOcInwEAAAAOgzCBABAOghfnngbf303d2Bz9cPytH/N3WW3A5nWMb3HTms5seXS5YV1O4cMUrmwiVyjRqjuIwMNZaVybbtsJwTAAAAwOWPABEAgMucbdv62f7d+uWBPYG2rw4fqwfGTZUjjDsdOwZmyYiMkm1ZksMh1+SpMvMWyzkwS5LYVRkAAADoowgQAQC4jNm2rUf37dLjRXsDbd8bN1VfHTHu4sf0++V7d6/85WVyL7oq0G6YpsxFV8muqZY5f6EcScmXNHcAAAAAvQMBIgAAlynbtvXDvTv05HvvBtr+a8IVunXY6Isbz2vJu2ObPAWrZJ8qP/uU4ZTpciQlBY5xz194yfMGAAAA0LsQIAIAcBmybVv/tWe7nj68P9D2o0kz9IWcUaGP1dQka9N6WevXyD5df67D75d3e6HcVy0Nx5QBAAAA9FIEiAAAXGb8tq0fvL1Vfyw+KEkyJP1k8kzdkj0itHFqamSty5e1ZaPU2hrU5xg6TO68JXKOufhXoQEAAAD0DQSIAABcRvy2re++VahnjxZJOhse/nTqbN00eFhI47S+/k9Zq/5P8vvPNRqGnBMmnQ0Oh2SHcdaXt9eLSrW88IAaPF7FuF26J3eUlo7I7O5pAQAAAD0GASIAAJcJn+3X/bu26H+PHZIkOWToF9Nm6/qsoSGP5UhKORcemqZcV8yUe8EiOVLTwjnly97rRaV6IH+36lqsQNsD+bsliRARAAAA6CACRAAALgM+26/7dm7S88eLJUlOw9Avp83RtYMu/KSg7fPJ+9ZOOTIy5cw4F4i5pk2XtS7/7BOHc+bLiO3XqfO/XC0vPBAUHkpSXYul5YUHCRABAACADiJABACgm3n9ft29Y6NeLjkiSXIZhn59xVx9PHNIu9+xW1tkbdkka22+7NoauaZMk/OLywL9hstU1Le/L8MwOnv6l7UGj7edduu87QAAAADaIkAEAKAbWX6/vr59vV4tPSZJMg2HfjNjnq7OyDrv8f7T9bLWrZG1ab3U3BRo9+7eJf+1tXIkJAba+np4KEmx7vP/qhPrNrt4JgAAAEDPRYAIAEA38fh9unPbev3fyeOSJLfDod/OmK9FAwa1OdZ/qlyeglXybt8q+YKfqnOOGSczb7GM+ISumHaPcnfuqDZrICZEmro7d2Q3zgoAAADoWQgQAQDoBq0+n766da1Wl5dIkiIcDv0uN08L0oPX5bObmtTy7P/It3dP8ABOp1xTr5CZt1jOARldNe0e5/11DpcXHlSDx1Ks+2x4yPqHAAAAQMcRIAIA0MVafD59pXCNCk6VSpIiHE49MzNPc/ufJwiMipJdXX3uc2SkzNlzZc5dEPS6Mtq3dEQmgSEAAABwCQgQAQDoQs0+r5ZtWaP1FSclSVFOl/5nVp5mpQ6Q7fHIt3+fXBMnB443DENm3mJ5XntZ5rw8mbOulBEZ1V3TBwAAANAHESACANBFmryWbt1SoE2V5ZKkaKdLf5i9UDMiY+V541V5NqyVGhsUde935Bw8JPA919Tpck2dLsPp7JZ5AwAAAOjbCBABAOgCjV5LX9ycr61VpyRJsS5Tfx09RaPWrFHj1s2SdW6TD6tgpZz/fnvgM8EhAAAAgO5EgAgAQCc7Y3n0xc352l5dIUnKbWrWrxpPq1/BL2XZ9rkDHQ65Jk2Vmbe4m2YKAAAAAG0RIAIA0IlOWx59ftNq7aqp1MTTZ/TtIyc0pa4++CB3hMyZs2XOy5MjOaV7JgoAAAAA7SBABACgk9R5WvW5jau0p+7sLsr9DUdQeGj0i5M5d77M2fNkxMR01zQBAAAA4IIIEAEA6AS1dbW6d92b2uNrlSQluSP0zWuvkeNUrWzLI/eCRXJNz5Vhmt08UwAAAAC4MAJEAADCyF9bo9MFq2Rt3qAvxkRp9aRxSo2I1F/mLNHIuET5v3KnjH5xMhyO7p4qAAAAAHQIASIAAGHgKy2RtWaVrJ3b5fL75ZI0rf6M5rd49J+LP6Vh/eIlSY74hG6dJwAAAACEigARAICLZNu2fEUHZRWslO/Au5Ik4199rYahNzMz9MM5izX4X+EhAAAAAPREBIgAAFwEa9d2Wfmr5C85HtRe53LpuYz+Khg6VE8sukaDY+O6aYYAAAAAEB4EiAAAXATvtsKg8LAsKkpPZfbXi+lpSukXr/+dc5UGxcR24wwBAAAAIDwIEAEA+Aj+06dlxMYGbXxi5i2Wb/8+WZkD9eOUBP09PlY+w1B2bJz+euUSZUTHdOOMAQAAACB8CBABAGiH/1S5PGtWybt9qyK/cJtcEycH+pzDR6riy/+hG4/uV6WnVZI0ol+8nrtyifpHRXfXlAEAAAAg7AgQAQD4EF/xIXnyV8q3d0+gzVOwKihA3Fdfo1uO7lftv8LDsfFJevbKxUqOiOzy+QIAAABAZyJABABAku33y/fO2/IUrJL/aHFwZ0SknDlDZft8MpxOvVVTqc9vWq16yyNJmpiYrD/PXqwEd0Q3zBwAAAAAOhcBIgCgT7M9Hnm3F8qzZrXsyoqgPiM+Qea8PJmz5siIipIkba4s061bCtTo9UqSpien6Q+zFqqf6e7yuQMAAABAVyBABAD0aXZNlVr/9lxQm2NAhsy8xXJNmS7Dde5H5Rulx/S17evl8fslSbNS0/XMzDzFuMwunTMAAAAAdCUCRABAn2JblgzzXODnSM+Qc8x4+d59R87hI2XmLZZz9FgZhhH0vb8cKdJ33iqUX7YkaVH6QP1mxjxFOflRCgAAAKB34796AAB9gu/4MVkFK+UrLVH0A/8pw+EI9Lk/8Slp6TVyDhrc5nu2bWtF0V49sm9XoO3GrKH6/6bMkusDYwAAAABAb0WACADotWzblu/dvbIKVsl3qCjQ7tvzllyTpgY+OzMy2/3+D/fu0JPvvRto+/KwMfr++GlyfOgJRQAAAADorQgQAQC9ju31yrtzm6yC1fKXnwzqM2L7yfZYHzmGx+/Tt3dt1vPHz+3I/J2xU3THiHFtXm8GAAAAgN6MABEA0GvYzc2yNq+Xta5Adn19UJ+R1l/uBYvkmp4btAbi+dR5WvWVrWu1ubJckuSQoUcm5+qW7BGdNncAAAAAuFwRIAIAeg3Pqy/J2rguqM2RnSN33hI5x00IWvewPccbz+iLm/N16MzZADLC4dRj0+foY5lt10cEAAAAgL6AABEA0GPZth30OrE5d8HZANEw5Bw3Qe6FS+TMHtrh8d6qqdStWwpU1doiSUqOiNQzM/M0JSk17HMHAAAAgJ6CABEA0KPYti3fewdlFaySc8w4uecuCPQ5+qcr4sbPyDlilBz900Ma943SY/r6jg1q8fkkSUNj4/SH2Ys0OKZfWOcPAAAAAD0NASIAoEewfT55394lK3+V/CXHJUn+U+UyZ8+V4XQGjjPnzA9tXNvWb4r26tF9u2T/qy03pb+ezF2gRHdEmGYPAAAAAD0XASIA4LJmt7bKKtwka22+7Jrqtv3VVTLS+l/U2E1eS/ft3KxXS48G2q4flKP/N2WWIj4QSgIAAABAX0aACAC4LPlPn5a1Yc3ZNQ2bmoL6HAOzZC5cLNfEKUFPH4biRGODlhUW6N362kDbfaMn6RujJgStqwgAAAAAfR0BIgDgsmN7PGr68UNSc3Bw6Bw9VmbeYjmHj7ykkG9zZZm+unWdaj2tkqRYl6lfTrtSSzKyLmXaAAAAANArESACAC47htst15Rp8m5aLzkcck294mxwmJF5SeP6bVuPH3xHP313t/z/WvEwOzZOT+Uu0Ii4hDDMHAAAAAB6HwJEAEC3sf1++fbukbV5gyK/9GUZkZGBPveCRTIiImTOy5MjIfGSz1XT2qJv7NiotadKA23z+2fq19PnKt7tvuTxAQAAAKC3IkAEAHQ527Lk3V4oz5rVsitOSZKswk1yz18YOMaRmqaIa28Iy/m2V1fojq3rVN5y9pVoQ9I9oyfq66MmyGk4wnIOAAAAAOitCBABAF3GbmyQtXG9rPVrZDecCerzHXhX+kCAGA4+26/HD+7VL/bvltc++8pySkSkHps+V1emDQjruQAAAACgtyJABAB0On91lay1+bIKN0keT1Cfc9iIs+sbjhkX1nMebzyju3ds1PbqikBbbkp//Xr6XPWPig7ruQAAAACgNyNABAB0Ku/unWr5n6ekfz0BKEkyDLkmTZGZt0TOrMFhPZ9t2/rH8cN68O1tavBakiSHDN01arzuHjVRLgevLAMAAABAKAgQAQCdyjlspORySZYlmabM3Nky5y+UIyU1LOO/XlSq5YUH1ODxKiLCUL8BXr11ujLQnxUdq19On6NpyWlhOR8AAAAA9DUEiACAsLC9Xnl3bZfd0iL33AWBdiM2VmbeYhlOp8wr58mIiQ3bOV8vKtUD+btV2+KRYizZkS3S6XNPOt40eJj+a8IVijXNsJ0TAAAAAPoaAkQAwCWxm5tlbd4ga12B7Po6KTJS5hW5MiKjAsdELP1kp5x7eeEB1VqtstOapShvoN1pO/R47hx9PHNIp5wXAAAAAPoSAkQAwEXx19XKWlcga/MGqaXlXEdLi7x73pZ5RW6nnt/y+3XSUS8744z0wWUNG0319yQSHgIAAABAmBAgAgBC4jtZKqtglbw7t0l+f1Cfc/xEufMWy5kzrFPnsLmyTD/YvVX10WfONXoNGTVRMppNxSdHdOr5AQAAAKAvIUAEAHRYy7N/kHfbluBGp0uuK2bIvWCxHP3TO/X8Zc2N+uE7O/TPkqPnGm1JDW4ZtZEybEMJkabuzh3ZqfMAAAAAgL6EABEA0GGO1A/snBwdLXP2XJlzF8gRF9+p522wLK0o2qsnD+1Ti88XaJ+UmKKPJeXopbfL1BBrKdZ9NjxcOiKzU+cDAAAAAH0JASIAoA27tVXW1s1yjZ8oR2JSoN2cPU/enTvkmjlb5szZMiIiO3Uelt+v544U6RcH3lZ167l1FhPdEXpg7BTdPGS4HIahOyaO7tR5AAAAAEBfRoAIAAjwnzkta/1aWRvXSU2NsqurFXHdjYF+IyZGUd/5gQzD6NR52Lat/zt5XD/Zt0vFDacD7abh0BdyRuoboyYosZPDSwAAAADAWQSIAAD5K07Js2b12fUNvd5Au7Vlo9xLPyEj4tymJJ0ZHtq2rdXlJVq+/23tqasO6rsmc7DuHztFQ2LjOu38AAAAAIC2CBABoA9rPnhAzX97Tt533pZs+1yHwyHX1OkyFywOCg87i23bWll2Qr888LbeqasJ6puenKYfjJ+myUmp7XwbAAAAANCZCBABoA/y11Sr9U/P6Ezx4aB2r+nWa0lD9LeEbDX543RPo6GlnTgPn+3XypMn9MsDe7SvPjg4HBOfqHtHT9KSAYM6/ZVpAAAAAED7CBABoA8y4uLkr6o89zk+XofHTNNXq0yVWpJaJbWe0QP5uyUp7LsaN3u9+sfxw/rdoXd15ANrHErSuPgk3T16IsEhAAAAAFwmCBABoJezGxvlO1Qk18TJgTbDZcqct1DavVOOuQvknDJd33xunUqtM0HfrWuxtLzwYNgCxKqWZv2h+KD+WHxANZ7WoL7xCcm6Z/RELUofSHAIAAAAAJcRAkQA6KX81VWy1ubLKtwseS1F/+C/5UhKDvS7FyzSgM9/SeXl5bJtWw0e73nHafBYlzyXPbXV+lPxQb144rBa/f6gvlmp6frK8LFa0D+T4BAAAAAALkMEiADQy/hKjsvKXyXv7p3SB8I6a22+Iq6/KfDZcLmCArtY9/l/JMS6zYuaR7PPq1dLjuqPxQe1u7YqqM9pGPrEwCG6fdhYjU9MbmcEAAAAAMDlgAARAHoB27blO/CurIJV8hUdCO40TZm5s2TOXXDBMe7OHaUH8nerruXcE4cJkabuzh0Z0lyONpzWn48U6X+PHVLdh15T7ucy9Zkhw3XbsNHKjI4NaVwAAAAAQPcgQASAHs677x15Xn1J/pOlwR0xsXLPXSDzynkyYj86rHt/ncPlhQfV4LEU6z4bHnZk/cN6j0dvnDym548fVmHVqTb9Y+IT9YWcUfrUoGzFuC7uiUYAAAAAQPcgQASAHs5ubAgKD42UVLkXLJLripky3O6Qxlo6IrPDG6Z4/D6tLS/ViyeKtarsRJu1Dd0Oh67JHKIv5IzUlKRU1jcEAAAAgB6KABEAehB/fZ3k9cqRnBJoc02ZLs+rL8tISJQ7b7GcEybJcDg65fy2beut2io9f/ywXik5qtoPvaIsSUNj43TT4GG6echwJUdEdso8AAAAAABdhwARAHoAX9lJWQWr5N25Ta4JkxT5pS8H+gyXS1HffEBGv7hOe8rvSMNpvXSiWC8cL9bRxjNt+pMjInXtwGxdn5WjCQnJPG0IAAAAAL0IASIAXKZs25bvUNHZjVHe3Rto9+7eJX9VpRwpqYE2R1x82M9f29qif5Yc1YsnirWzprJNf6TTqasGZOn6rBzNScuQ2UlPPQIAAAAAuhcBIgBcZmyfT949b8nKXyX/iWPBnVHRMmfPlREZ1SnnbvH5lF9+Qs8fL9ba8lJZdvC6hoak2akDdF1Wjj6WkaV+ZmhrLAIAAAAAeh4CRAC4TNg+n6xN62WtzZddXRXUZyQmyZy/UGbubBmR4V1X0G/b2lpVrheOF+u10qM6bVltjhkVl6gbsnJ07cBsDYiOCev5AQAAAACXNwJEALhcOBzyFm4KCg8dmYNk5i2Wa/JUGU5nWE/33uk6PX60SH/a/7ZKmhrb9PePjNKnBuXohqwcjY5PCuu5AQAAAAA9BwEiAHQTf02NHEnngjnDMGQuWKzWP/9ezlFjZOYtlnPEqLBuSFLZ0qyXS47ohePFeqeuuk1/tNOlpZmDdX1WjmalpstpsK4hAAAAAPR1BIgA0MV8R4vlyV8l3zu7FXX3t+QckhPoc02ZJkdGppyZA8N2viavpTfLTuiF48XaUHFSPtsO6ncahuamZei6rBxdNWCQol1m2M4NAAAAAOj5CBABoAvYfr98+96Rp2CV/MWHAu2eglWKuvUrgc+G0xmW8NBn+7W58uy6hm+cPKZGr7fNMRMSkvXv4ydrflyyUiLCu64iAAAAAKD3IEAEgE5kW5a8O7bKs2a17FPlQX1GXLycQ7Jl23bYXlM+eLpWzx8v1gvHD+tUS3Ob/syoGF2XlaPrB+VoRHyiBgwYoLKyMtkfeioRAAAAAID3ESACQCewmxplbdoga12B7DOng/oc6QNkLlgs17TpMsLwunB1a4tePnFE/zh++LzrGsaZpj6eOUTXZ+XoiuT+coRxTUUAAAAAQO9HgAgAncBXckKeV18KanMMGy533hI5R4+V4bi0zUlafT7ll5foH8cPa015ibwfeoLQZRhakD5QN2TlaGH6IEWGeQdnAAAAAEDfQYAIAGFgezwy3O7AZ+fwkXIMzJK/9IScEyfLnbdYzsHZl3YO29bu2ir9/dhh/bPkiOotT5tjxick69ODh+qTA7OV3EfWNXy9qFTLCw+oweNVjNule3JHaemIzO6eFgAAAAD0GgSIAHCRbNuW7+B+WfkrZVseRd/97UCfYRiKuOkWGTExcqSkXtJ5aj2tevF4sZ47WqSDp+va9PePjNL1WUN1Q1aORsYlXtK5eprXi0r1QP5u1bVYgbYH8ndLEiEiAAAAAIQJASIAhMj2+eTdtUPWmlXyl5YE2n3Fh+TMGRb47Bw85OLPYdsqrDql544W6Y3SY2r1+4P6I51OfSxjsG7IytGVaQPkNC7tleieannhgaDwUJLqWiwtLzxIgAgAAAAAYUKACAAdZLe0yNqyUdbafNl1tUF9Rkqq7NbWSz5HRUuz/nHskP5y9D0dbTzTpn9qUqo+M2S4Pp45WP1M93lG6FsaPN522q3ztgMAAAAAQhfWALG1tVUrVqzQ4cOH5XA4dMstt2jGjBnnPbahoUHPPPOMDh06JKfTqWnTpulzn/tcOKcDAGHhr6+TtW6NrM3rpebmoD7H4Oyz6xtOmHTRG6P4bL/Wnzqp546+p9VlJ9psiJLgjtANWTn67JDhfe4V5Y8S6z7/j7FY96Xvbg0AAAAAOCusAeIrr7wi0zT12GOPqaKiQt/73vc0duxYxcbGtjl2xYoVGjlypL7+9a9Lkmpra9scAwCXg9a/PSff3j1Bbc5xE+TOWyxHzjAZhnFR49a2tuh/jx3Sn4oP6nhTQ5v+2anp+uyQEbo6I0sR7KJ8XnfnjmqzBmJCpKm7c0d246wAAAAAoHcJa4C4efNm3XHHHZKktLQ0jR49Wjt27ND8+fODjisvL9eRI0d03333BdoSEy/8VI1lWbKsc/+BaBiGoqKiAv+7t3n/mnrjtSH8Xi8q1S+2HFCzz69Ip6F7Z45m/beLZP/r6b8P/t1zL1ik5r17JKdL5vQZMhcsknNAxkWf4+3aKv3h8AG9fOKIWv2+oL60yCjdNHiYPjNkuIbExl30OTrijfdK9atn16muuVkxpqtH1s3HRw6UYRj6xZYDarAsxZqm7pnJLsydhZ9NCBU1g1BRMwgVNYNQUC8IFTVzTlgDxKqqKqWmntttNC0tTVVVVW2OKykpUXJysn73u9+puLhY/fr10+c+9zllZ2e3O/aLL76of/zjH4HP2dnZevTRR4PO1xulp6d39xRwmXthzyF9t2CPappaAm3fLdijxMQEXT9h2AW+iQ+yfT41bNuimpdfVNK116vfzNnn+tLTVddwRv1mzpYrMemixm/xevX3Q/u14p1d2nrqZJv+xYOy9dXxU3TNkGFyXeSr0KF4Yc8hPZDfO+rmtgEDdNu8ad09jT6Fn00IFTWDUFEzCBU1g1BQLwgVNRNigPjggw+qtLT0vH2PPvqopOBU1v7QOl7v83q9Kioq0s0336yvfOUr2r17tx599FE9/vjjcrbzmt51112na665JvD5/fNUVlbK6z3/Ivo9mWEYSk9PV3l5ebv/PwKS9ODrhUEhkCTVNLXowdcLNTM1pptm1XPYHo+swk3yrFktu/rsP3icev5/dWZwdvC/Mk2eppaWVqmsLKTxSxob9KcjB/WXI0Wq8QRvshJnmrpp8HB9IWekcvrFS5IqT526tAvqIOoGF4OfTQgVNYNQUTMIFTWDUFAvCFVfqBmXy9Whh/NCChAffvjhC/anpKSooqJCcXFnX7urrKzUlClT2hyXmpqqpKQkjRs3TpI0adIkeb1eVVdXKy0t7bxjm6Yp0zz/ovi99Q9ROnttvfn6cOna2222wWNROxdgN5yRZ/1aWRvXSo2NwZ1er+zGRinm4oI0v21rQ8VJ/aH4oPLLSuRX8J/DmPhEfTFnlD41KFvRrrP3ta7+s6JucCn42YRQUTMIFTWDUFEzCAX1glBRM2F+hTk3N1dvvvmmhg0bpoqKCu3fv1+33357m+NycnIUHR2tY8eOafDgwTp8+LAkKSnp4l4NBPoydqENjb+yQp41q+XdtkWygkM054hRMhcukXPk6Ita46Le49E/jh/SH4oP6kjD6aA+03BoaeZgfXHoKE1LSu32NTSoGwAAAABAR4U1QPzkJz+pFStW6K677pLD4dBtt90W2IF55cqVqq2t1c033yzDMHTHHXfoiSeekGVZMk1T9913n1yusE4H6BPYhbbj/PX1avrxQ5Lff67R4ZBr8lSZeYvlHJh1UePur6/RHw4f1AsnitXsC15SIT0yWp/LHqFbskcoLTLqEmYfXmfr5m3VtXgCbdQNAAAAAOB8wprYRUZG6p577jlv35IlS4I+Dx06VI888kg4Tw/0Se/vNru88KCa/X5FORy6O3cku9CehyM+Xs4x4+Tbu0dyR8icOVvm/IVyJCWHPJbH79Mbpcf1h+ID2l5d0aZ/Vmq6vpgzSksGDOqSTVFCtXREpgzD0GM7DqmuqVmxpkndAAAAAADOi0f+gF5g6YhMfXzkQA0YMEBlZWV9fm0G22vJu32bvG/vUuSX75Dxgc2Z3Is/Jt+QHJmz58iIDn2Nw7KmRj17tEjPHSlSZWvwJiQxLpduzBqqL+SM0oi4hEu9jE63dESmbps3jZoBAAAAAFwQASKAXsNuapS1aYOs9QWyT59dg9D79lsyp0wLHOMcki3nkOzQxrVtbakq1x8OH9SbZcfl+1DYNqJfvL6QM0o3ZA1VbDubPQEAAAAA0FMRIALo8fw1NbLW5cvaslFqbQ3q8x0qCgoQQ3HG8uj548X6U/EBFZ2pD+pzGoauzsjSF3NGKTelf7dvigIAAAAAQGchQATQY/lKS2Tlr5T3rR3BG6MYhpwTJsmdtyTkpw2ls5ui/PlIkZ4/fliN3uBNUdIionRL9gjdkj1cA6JCfwUaAAAAAICehgARQI/kWZsvz4t/D240TbmumCn3gkVypKaFNF6j19I/TxzRc0ff0+7aqjb9VySn6YtDR+nqjCy5Hc7zjAAAAAAAQO9EgAigR3KNGSfPS/+QbFuKiZE5Z77cc+bLiO3X4TFs29bu2ir95eh7+mfJkTZPG0Y5XbohK0dfyBmp0fFJ4b4EAAAAAAB6BAJEAJc1u6VF1paNMmJiZV6RG2h3pPWXOXeBHKlpcs2YJcPt7vCYta0ternk7NOG++tr2/SPjU/SZ4cM16cG5Sg+hHEBAAAAAOiNCBABXJb89fWy1hfI2rRBam6SkZgk19TpMpznXh+OuP6mDo/X6vOpoLxEzx8/rILyUlm2P6g/xuXSpwbm6LPZwzUhIZlNUQAAAAAA+BcCRACXFX95mTxrVsu7favkO/dKsV1bI1/xIbmGj+zwWLZta2dNpZ4/flivlBxVveVpc8zkxBTdkj1Cnxg4RDEuMyzXAAAAAABAb0KACKDb2bYtf/EheQpWybd3T3Cn0ynXtBly5y2SIz2jQ2PtqavW66XH9GrpUR1vbGhzTFpklD41KFs3Zg3T6PjEcF0GAAAAAAC9EgEigG5l27ZaHl8u33sHgzuiomTOmitz3gI54hM+cozdtVV6vfSYXi89puNNbUPDKKdLH8vI0vVZOboybYCchiOMVwEAAAAAQO9FgAigWxmGIUf/9ECAaCQkypy/UObMK2VERrb7PY/fp21VFVpdfkJvnjyukqbGNsc4DUOzUtN1/aCh+lhmFq8oAwAAAABwEQgQAXQZu6FB1qb1MuctkBEZFWg3FyyS72ixzPmL5JoyLWijlA+qamlWwalS5ZeVaH3FSTV4rTbHOA1Ds1MH6OOZg3VVRpaSI9oPIQEAAAAAwEcjQATQ6fxVlbLWrJa1dbNkWZJpyp23ONDvSElV9Le+1+Z7rT6fdtVUalNlmdafOqndtVWyzzO+61+h4TUDh+iqAYOUSGgIAAAAAEDYECAC6DS+Y0fObozy9luSfS76szaslTl/oQxH8DqEftvWvroabaos08aKMm2rrlDzB3Zi/qBEd4QW9M/UwgEDNS8tU/Fud2deCgAAAAAAfRYBIoCwsv1++d7dK0/BKvkPvxfc6Y6QOXO2zHl5MhwOtfh82lNbpR3VFdpeXaEdNZWq87S2O/bo+ETl9R+oRQMGanJSChuhAAAAAADQBQgQgT7g9aJSLS88oAaPVzFul+7JHaWlIzLDfh5fyQm1/PFp2afKg9qNfnE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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": 250, "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": 251, "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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"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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" ] }, "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 }