{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": true } }, "source": [ "# **QUEDA LIVRE E LANÇAMENTO**\n", "\n", "Arquivos (notebooks .ipynb) sobre que queda livre e lançamento vertical, horizontal e obliquo. Abra o arquivo em no botão verde \"Open with one click!\" para manipular as animações." ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": true } }, "source": [ "## QUEDA LIVRE\n", "\n", "1) Um corpo é solto do alto de um prédio de 28m de altura. Considere $g = 9.8m/s²$ e desprezando a resistência do ar, determine:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ ], "source": [ "%display latex " ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ ], "source": [ "reset()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "t" ] }, "execution_count": 3, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# criação da variável tempo t\n", "var('t')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ ], "source": [ "# DADOS INICIAIS\n", "# g\n", "g = -9.8\n", "\n", "# posição inicial\n", "y0 = 25" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "-4.90000000000000*t^2 + 25" ] }, "execution_count": 5, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# a) função posição \n", "\n", "y(t) = y0 + g*t^2/2\n", "y(t)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "-9.80000000000000*t" ] }, "execution_count": 6, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# b) velocidade é a derivada da função posição\n", "\n", "vy(t) = diff(y(t), t)\n", "vy(t)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "[t == -5/7*sqrt(10), t == 5/7*sqrt(10)]" ] }, "execution_count": 7, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# c) tempo para chegar ao solo\n", "\n", "T = solve(y(t) == 0 , t)\n", "T" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "jupyter": { }, "scrolled": true }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "2.25876975726313" ] }, "execution_count": 8, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# pegar somente o valor numérico do lado direito do elemento de posição 1 do vetor T\n", "\n", "t1 = T[1].rhs().n()\n", "t1" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ ], "source": [ "# e) velocidade ao tocar o solo\n", "\n", "v_solo = vy(t1)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "jupyter": { }, "scrolled": true }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "-79.6893970362432" ] }, "execution_count": 10, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# convertendo para km/h\n", "\n", "vy(t1)*3.6" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 11, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# f) gráfico função posição em função do tempo\n", "\n", "plot(y(t), (t, 0, t1), legend_label = '$y(t)$', axes_labels = ['$t(s)$','$y(m)$'], gridlines = 'minor', figsize=(6, 5)) " ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "698bcd299d7a4d83ae18f6e0479ba29d", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Interactive function with 1 widget\n", " t: FloatSlider(value=1.1293,…" ] }, "execution_count": 12, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# g) Gráfico vetor posição\n", "\n", "from sage.repl.ipython_kernel.interact import interact\n", "@interact\n", "def plot_a_function(t = (0.0,t1, 0.0001)):\n", " P = plot(vector([0, y(t)]), ymin = -y0, ymax = y0, axes_labels = ['$x(m)$','$y(m)$'], gridlines = 'minor')\n", " show(P)\n", " show('t = ', t,'s', ' ------ ', ' P = ',y(t),'m')" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "image/png": 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CwsJCTp8+TUdHB6mpqeTn55Odna2MDQgIID4+HltbW3Jzc6mqqqKuro7MzEycnZ17zHv69OlER0fj6upKRkYGjY2NVFZWotFomDRpEqtWrSI4OJiFCxcqt/Hy8iIlJYXOzk5OnjxJcXExABs2bMDX17fHa83X15ekpCT+7//+j46ODs6ePUt7eztpaWm4u7sTExOjjJ08eTLLly/H3t6eAwcOUF1dTW1tLVlZWTg6OqLVapWxISEhzJ49m+nTp5Oenk5TUxPnzp0jPz+/1zXi+ry3bNlCV1cXJ06c4Pjx4zetEddfl31dI7RaLQ4ODr2uEX/5y1+U57wva8R1v7c1Ytu2bZw8ebLPa8SNr7XvrhHr1q3D1ta2z2uEpaUla9as6XWNePPNN/Hw8OjzGlFZWUlDQ0Ova0RZWRl5eXl9XiNSU1Npb2/vdY2YM2eO8hz1ZY3w9/dn5cqVva4R2dnZ5ObmEhYWRnx8PG5ubjg6OvKTn/zkbv5ntN+6du0adXV1fPrpp5SXl7NhwwYeeughoqKiKCwsJCws7G5PcWC7uwe4fngD9Zbcv//97371xBTT1ExjmKOYYg6Uef0tud7evjLWrj+mDRs26JcvX66PjY3V19fX6/X6gfl9qi35KzkDnT9/XkwxxVSRJ6aYpmiqsetvx92YKTx22TAZyNzcXEwxxVSRJ6aYpmgaS6bw2GXDZKD77rtPTDHFVJEnppimaBpLpvDYZcNkoKNHj4opppgq8sQU0xRNY8kUHrucVsBAtbW1ODo69psnppimZhrDHMUUc6DM/+bTCpw/f57GxkZaWlqYO3cu995774D8PtWWHGEy0MqVK8UUU0wVeWKKaYqmsWQKj12OMEmSJElSP6eWI0zX59Af3eoIkykkR5gMFB4eLqaYYqrIE1NMUzR/SEuWLLnpz/+vV1tbS3R0dL/dl9oe+0AkR5gM1N7e3u//VyCmmKZkGsMcxRRzoMy7fYQpMzOT2tpa5syZo1x25swZ6urqCAkJAeDIkSMcPXqU119//Y7MWx1hGojfp9qSI0wGio+PF1NMMVXkiSmmKZrfN61WywsvvNDjsqioKE6dOqX8e+rUqRw5coS6uroffH9qeuwDleq/S+526XQ6NBoN8+bNM3jo8fvk4ODA8OHD+80TU0xTM41hjmKKOVDm9e9du/G75NrboaQEvv7a8M+wYfBDv3ru+PHjnD59mieffLLH5W+++SYLFizo8W5Md3c32dnZylGnW3X9MTU2NnL16lU6Ozvx8/PDyspqQH6fakuOMBno3//+t5hiiqkiT0wxjd08dQqmTLn1zw0HgADo6upi+fLl/O53v1POdTRnzhzWrl1r8H727dtHUFCQ8u9du3bx2muv0d3dzZo1azh06JBy3YMPPkhGRsb3eLQ9G4jfp9qyuNsTUGsODg5iiimmijwxxTR2c9w4OHbs1sa4cT3/vWPHDp5//nn279/P+fPnCQoKYtasWbd8G62qqoqZM2cq/541axZXrlwB4P333+8xdvjw4Xz11Ve3ntQdNBC/T7U1YEeYFi5cSFBQEDY2Njg5OfH0009z+vTpHmP0ej3z58/H1dUVKysrZs6cSWlp6UBNqU9ZWVmJKaaYKvLEFNPYzSFDYPLkW/9893PTDz30EGZmZuTl5fGLX/wCgDFjxjB16lSD99Pa2nrTXHJzc/npT3/a6/hBgwbdwaO7dQPx+1RbA7ZhysnJ4fXXX6egoICsrCy+/fZbHn30Udra2pQxUVFRxMTEEBcXx9GjR3FxceGRRx6hpaVloKZ1x505c0ZMMcVUkSemmKZo2tnZ8fnnnzNz5kxlU1JSUkJgYKDB2wwfPpyGhoYel+Xl5fHggw/S1dVFfX19j+ssLH74m00D8djV1oBtmHbv3s0f/vAHfH198fPz47PPPuPChQsc+/+PR+r1epYsWcJ7773Hs88+y4QJE0hKSqK9vZ2NGzcadHU6Hc3NzT1+BqL/+Z//EVNMMVXkiSmmKZoAly9fxs3NDYCGhgaGDh1KcXExUVFRHDlyhI6ODv785z8r4318fLhw4YLy7/r6eu655x6cnJxYu3YtnZ2dynXXrl3DxsbmB89xoB67mvrR/kru66+/ZtmyZbzzzjs4OTlx7tw5IiIiiIqKUr7l2MLCgvz8fGpra3nmmWcASE5OZsiQISQkJBAYGMjjjz/Oyy+/jEajQaPREBsbC0BQUBBlZWXo9XqSk5Px8fFh0aJFhIWFER4ezoQJE0hMTGTw4MEcPnyY8vJyWltb2blzJ6NHjyY2NlYZGxgYyO9+9zuCgoLYv38/NTU11NTUsG/fPhwcHFi2bJkydsaMGURGRuLm5sauXbtoaWmhoqKCgoICLC0tSUxMZMqUKWg0Gv7973+Tm5uLt7c3ycnJdHd3U1JSQklJCV1dXWzevJlx48YRHR2t+JMmTSIhIQErKyvy8/OpqKigubmZ9PR0Ro4cydy5c5k7dy7h4eEEBQWh1WpxdHRk7969XLlyherqarKzs7G3tycuLo7Q0FAWLFhAaGgoERERuLu7s2PHDlpbWykvL+fIkSOkpKRQWlpKQEAAkZGRylzGjh2rbGaLi4spLS3l2rVrpKSk4O3t3WPefn5+rF69Gmtraw4dOsQnn3zCyJEjycjIYMSIESxZskQZO3XqVGJjY3FyciIrK4u6ujqqqqrIycnBzs6O+Ph4QkJCiIiIUG7j4eHBW2+9xahRozhz5gyFhYVYWFiQlJSEv79/j3n7+Piwfv16zMzMKCoq4tSpU+h0OrZu3YqXlxeLFy9Wxh4+fJgTJ05gY2NDXl4eFy5coKGhgd27d+Pi4sLSpUuVscHBwcTExODi4sKePXuor6/n4sWL5OXlYWtry4oVK5g2bRrPPfec8hx5enqybds2dDodZWVlFBUVYW5uzrp165g4cSJRUVGKP378eNauXYuFhQWFhYWcPn2ajo4OUlNT2bdvH/n5+crYgIAA4uPjsbW1JTc3l6qqKurq6sjMzMTZ2bnHvKdPn050dDSurq5kZGTQ2NhIZWUlH3/8MYGBgaxatYrg4GAWLlyo3MbLy4uUlBQ6Ozs5efIkxcXFAGzYsAFfX98erzVfX1+SkpLYvn073d3dnD17lvb2dtLS0nB3dycmJkYZO3nyZJYvX469vT0HDhygurqa2tpasrKycHR0RKvVKmNDQkJ4/vnneeCBB0hPT6epqYlz586Rn5/fY43QaDQ95r1lyxa6uro4ceIEx48fv2mNuP667OsaodVqcXBw6HWNePHFF5XnvC9rxHW/tzVi/fr1fPXVV31eI258rX13jUhISGD48OF9XiMsLS1Zs2ZNr2vEq6++ire3d5/XiMrKShoaGnpdIwoLCyksLOzzGpGamkp7e3uva8QLL7ygPEd9WSP8/f1ZuXJlr2tERkYGhw8fJiwsjPj4eNzc3Hr8ldz3zc3NjS1btnD16lVOnjzJ7Nmz6ezsJCMjg8cff5xjx45x7do1ZsyYAYCrqyvLly9XTitgaWnJoUOHaGlpwc3NDT8/P8U+fPgwV69e5bHHHrvtPK7/lVxOTg62trYUFhby2GOPsXjxYvLy8njkkUd+0ONUez/KiSv1ej1PPfUUDQ0N5OXlAfDFF18wY8YMLl26hKurqzL2pZdeorKykj179vRq6XQ6dDqd8u/m5mZGjRolX40iSZIkqaYf48SVv/zlL9m2bRv/+Mc/+PWvf93jbbqXXnqJjz76CBcXl1sa77//Pk8++eQtPxN1PflqlB+hN954g+PHj5OcnHzTdd/9sJler7/lB9AsLS2xtbXt8TMQGctp88UUU62mMcxRTDHVbt4qNzc39uzZw+eff87kyZN7XPfPf/6TuLi4W96+ubmZ2traO9os3S75apR+6K9//StpaWnk5ubi4eGhXF5RUcGYMWMoKioiICBAufypp57Czs6OpKSkO/IH6qtRurq6MDc37zdPTDFNzTSGOYop5kCZP9ZXo5w5c4alS5eyfPnym647duwYly9f5oknnrjpOr1ez0cffcRrr72Go6PjHd3XrY4wDcTvU20N2BEmvV7PG2+8wfbt29m/f3+PzRKAh4cHLi4uZGVlKZd1dnaSk5NzR2ccHeiioqLEFFNMFXliimmKpqFSUlJYvXo1O3fuRKPR9DpmypQpvW6W4D8fBH/11VfveLN0u37Mx363GrAPfb/++uts2LCBrVu34urqSmtrK62trZibm/OTn/yEQYMG0dXVxcKFCxk7dixdXV288847XLp0iVWrVt3x15wM1FejuLm5YWdn12+emGKammkMcxRTzIEye/tqlP7M19eXKVOmEBIS8r3+2zdkyBCsra37dJtbfTXKQPw+1daAHWGKj4+nqamJmTNnct999yk/mzdvVsb84x//4G9/+xuvvfYagYGBXLp0iczMzH75E8cfWm5urphiiqkiT0wxTdE0lkzhsQ/YV6PcyUejBg0axPz581Hj9/9+9y1EMcUU8+56YoppiqaxZAqPXb5810DffvutmGKKqSJPTDFN0TSWTOGxy4bJQDU1NWKKKaaKPDHFNEXTWDKFxy4bJgNNmTJFTDHFVJEnppimaBpLpvDYZcNkoLS0NDHFFFNFnphimqJpLJnCY/9RvhplIBuoE1devXqVwYMH95snppimZhrDHMUUc6DMH+vElT9mtzpx5UD8PtWWHGEyUHR0tJhiiqkiT0wxTdE0lkzhscsRJkmSJEnq564fjXF3d8fKyupuT6df6ujo4Pz58/Llu1LPjOWLGcUUU62mMcxRTDEHyrSwsMDMzIzz589TVlb2X/Fz/vx59Ho9XV1dP8rvU23JESYD1dTU4OLi0m+emGKammkMcxRTzIE0Ozs7+fbbb2lqaiI9PR1ra+s+f41Je3t7v38G6oeYXV1dfPvtt3R0dPQ4wjQQv0+1JUeYDLRr1y4xxRRTRZ6YYhqbec899zBkyBAsLS1pa2ujsbGxzz/Hjh37XrcbKLOlpYWOjg50Ot2A/z7V1oB9NYqx5+/vL6aYYqrIE1NMYzUtLS2xtbWlubmZzs7OPplDhw6lpaWlP6bX76atra1yxGwgfp9qy3y+Gr/I7YaSk5MZMmQICQkJBAYGotFoCAsLY9asWcyfP5/o6Gja2toICgqirKwMvV5PcnIyPj4+LFq0iLCwMMLDw5kwYQKJiYkMHjyYw4cPU15eTmtrKzt37mT06NHExsYqYwMDA1mwYAFjx45l//791NTUUFNTw759+3BwcGDZsmXK2BkzZhAZGYmbmxu7du2ipaWFiooKCgoKsLS0JDExkSlTpqDRaLC3t2fTpk14e3uTnJxMd3c3JSUllJSU0NXVxebNmxk3bhzR0dGKP2nSJBISErCysiI/P5+Kigqam5tJT09n5MiRLFiwgGeeeYbw8HCCgoLQarU4Ojqyd+9erly5QnV1NdnZ2djb2xMXF0doaCgLFiwgNDSUiIgI3N3d2bFjB62trZSXl3PkyBEuXrzIgQMHCAgIIDIyUpnL2LFj2bhxIwDFxcWUlpZy7do1UlJS8Pb27jFvPz8/Vq9ejbW1NYcOHSI/Px8rKysyMjIYMWIES5YsUcZOnTqV2NhYnJycyMrKoq6ujqqqKnJycrCzsyM+Pp6QkBAiIiKU23h4eJCQkICNjQ1nzpyhsLAQCwsLkpKS8Pf37zFvHx8f1q9fj5mZGUVFRZw6dQqdTsfWrVvx8vJi8eLFyth77rmHvXv3YmNjQ15eHhcuXKChoYHdu3fj4uLC0qVLlbHBwcHExMTg4uLCnj17qK+v5+LFi+Tl5WFra8uKFSuYNm0a77//vvIceXp6sm3bNnQ6HWVlZRQVFWFubs66deuYOHEiUVFRij9+/HjWrl2LhYUFhYWFnD59mo6ODlJTU9HpdKSmpipjAwICiI+Px9bWltzcXKqqqqirqyMzMxNnZ+ce854+fTrR0dG4urqSkZFBY2MjlZWVpKWlMWbMGFatWkVwcDALFy5UbuPl5UVKSgqdnZ2cPHmS4uJiADZs2ICvr2+P15qvry9JSUlUVVVx+fJlzp49S3t7O2lpabi7uxMTE6OMnTx5MsuXL8fe3p4DBw5QXV1NbW0tWVlZODo6otVqlbEhISF8+OHFwyQPAAAgAElEQVSH+Pn5kZ6eTlNTE+fOnSM/P7/XNeL6vLds2UJXVxcnTpzg+PHjN60R11+XfV0jtFotDg4Ova4RGo1Gec77skZc93tbI86ePUt+fn6f14gbX2vfXSOKiooYNGhQn9cIS0tL1qxZ0+saERcXh5OTU5/XiMrKShoaGnpdI6ytrdm5c2ef14jU1FTa29t7XSM+/PBD5Tnqyxrh7+/PypUre10jmpqa2Llz501rhJubG1VVVYwcORJHR0euXr1KaGgox48f58UXXyQnJ4eXX36ZAwcO8OSTT3Lp0iXldATnz5/nscce4+zZszz//PMcOnRIGfvcc89x5swZpkyZwqBBgxg6dChjx46lurqaJ598koKCAmXsnDlzKC4uJjQ0lNLSUiZMmMCoUaNobGzk4Ycf5ujRo8rYP/3pT3zxxRc8+uij1NfX4+7ujoODAzqdjunTp3PixAlefPFF9u7dy6OPPkp4eDjd3d1MmjTpbm4XBj69kdfU1KQH9E1NTf3qbt++vV89McU0NdMY5iimmGKq11Rb8hkmA91///1iiimmijwxxRTTtEy1JRsmAx04cEBMMcVUkSemmGKalqm25LQCBmpqamLYsGH95okppqmZxjBHMcUUU72m2pIjTAZatmyZmGKKqSJPTDHFNC1TbckRJkmSJEmSpNskR5gMZIyn4hdTTDWZxjBHMcUUU72m2pIjTAZqbGzEzs6u3zwxxTQ10xjmKKaYYqrXVFtyhMlA69evF1NMMVXkiSmmmKZlqi3Vn+n7dul0OjQaDfPmzevzlxreKisrK5ydnfvNE1NMUzONYY5iiimmek21JUeYDPTVV1+JKaaYKvLEFFNM0zLVlmyYDHTPPfeIKaaYKvLEFFNM0zLVlmyYDDQQhxbFFNOUTGOYo5hiiqleU23JhslAx44dE1NMMVXkiSmmmKZlqi05rYCBLl++3O87ZjHFNCXTGOYopphiqtdUW3KEyUCrV68WU0wxVeSJKaaYpmWqLTnCJEmSJEmSdJtUfx6m5ORkhgwZQkJCAoGBgWg0GsLCwpg1axbz588nOjqatrY2goKCKCsrQ6/Xk5ycjI+PD4sWLSIsLIzw8HAmTJhAYmIigwcP5vDhw5SXl9Pa2srOnTsZPXo0sbGxytjAwECefPJJgoKC2L9/PzU1NdTU1LBv3z4cHBxYtmyZMnbGjBlERkbi5ubGrl27aGlpoaKigoKCAiwtLUlMTGTKlCloNBpyc3PJzc3F29ub5ORkuru7KSkpoaSkhK6uLjZv3sy4ceOIjo5W/EmTJpGQkICVlRX5+flUVFTQ3NxMeno6I0eO5Omnn2bu3LmEh4cTFBSEVqvF0dGRvXv3cuXKFaqrq8nOzsbe3p64uDhCQ0NZsGABoaGhRERE4O7uzo4dO2htbaW8vJwjR47w6aefUlpaSkBAAJGRkcpcxo4dy8aNGwEoLi6mtLSUa9eukZKSgre3d495+/n5sXr1aqytrTl06BAajYaRI0eSkZHBiBEjWLJkiTJ26tSpxMbG4uTkRFZWFnV1dVRVVZGTk4OdnR3x8fGEhIQQERGh3MbDw4MXX3yRUaNGcebMGQoLC7GwsCApKQl/f/8e8/bx8WH9+vWYmZlRVFTEqVOn0Ol0bN26FS8vLxYvXqyMzczM5MSJE9jY2JCXl8eFCxdoaGhg9+7duLi4sHTpUmVscHAwMTExuLi4sGfPHurr67l48SJ5eXnY2tqyYsUKpk2bxqOPPqo8R56enmzbtg2dTkdZWRlFRUWYm5uzbt06Jk6cSFRUlOKPHz+etWvXYmFhQWFhIadPn6ajo4PU1FRSU1PJz89XxgYEBBAfH4+trS25ublUVVVRV1dHZmYmzs7OPeY9ffp0oqOjcXV1JSMjg8bGRiorK3n33XcJDAxk1apVBAcHs3DhQuU2Xl5epKSk0NnZycmTJykuLgZgw4YN+Pr69nit+fr6kpSUxJo1a+ju7ubs2bO0t7eTlpaGu7s7MTExytjJkyezfPly7O3tOXDgANXV1dTW1pKVlYWjoyNarVYZGxISws9+9jMeeOAB0tPTaWpq4ty5c+Tn5/e6Rlyf95YtW+jq6uLEiRMcP378pjXi+uuyr2uEVqvFwcGh1zXil7/8pfKc92WNuO73tkZ88sknfPXVV31eI258rX13jYiJiWH48OF9XiMsLS1Zs2ZNr2vEnDlz8Pb27vMaUVlZSUNDQ69rxL59+ygsLOzzGpGamkp7e3uva8Tjjz+uPEd9WSP8/f1ZuXJlr2vEpk2bOHz4cJ/XiBvn/d014r333mPChAl9XiM8PT17vNZuXCPefPNNbG1t+7xGHDx4kKFDh/a6RqSnp/PII4/cze3CgCdHmAzU0dGBlZVVv3liimlqpjHMUUwxxVSvqbbkM0wG+uSTT8QUU0wVeWKKKaZpmWpL9W/J3a6B+moUR0dHHBwc+s0TU0xTM41hjmKKKaZ6TbUlR5gMVFRUJKaYYqrIE1NMMU3LVFuyYTKQo6OjmGKKqSJPTDHFNC1TbcmGyUD9+faemGKaomkMcxRTTDHVa6ot2TAZyFi+zVlMMdVqGsMcxRRTTPWaaks+9G0ge3t7hg0b1m+emGKammkMcxRTTDHVa6otOcJkoHXr1okpppgq8sQUU0zTMtWWnLjSQN3d3ZiZ9e9+UkwxTck0hjmKKaaY6jXV1n/3o/sBRUREiCmmmCryxBRTTNMy1ZYcYTKQsezAxRRTraYxzFFMMcVUr6m2/rsf3Q9o4cKFYooppoo8McUU07RMtSVHmAx04cIF3Nzc+s0TU0xTM41hjmKKKaZ6TbUlR5gMlJ2dLaaYYqrIE1NMMU3LVFuyYTLQmDFjxBRTTBV5YooppmmZaks2TAbS6XRiiimmijwxxRTTtEy1pfozfScnJzNkyBASEhIIDAxEo9EQFhbGrFmzmD9/PtHR0bS1tREUFERZWRl6vZ7k5GR8fHxYtGgRYWFhhIeHM2HCBBITExk8eDCHDx+mvLyc1tZWdu7cyejRo4mNjVXGBgYG8vHHH+Pr68v+/fupqamhpqaGffv24eDgwLJly5SxM2bMIDIyEjc3N3bt2kVLSwsVFRUUFBRgaWlJYmIiU6ZMQaPRMHjwYNLS0vD29iY5OZnu7m5KSkooKSmhq6uLzZs3M27cOKKjoxV/0qRJJCQkYGVlRX5+PhUVFTQ3N5Oens7IkSMJDw/nueeeIzw8nKCgILRaLY6Ojuzdu5crV65QXV1NdnY29vb2xMXFERoayoIFCwgNDSUiIgJ3d3d27NhBa2sr5eXlHDlyhK+++opDhw4REBBAZGSkMpexY8eyceNGAIqLiyktLeXatWukpKTg7e3dY95+fn6sXr0aa2trDh06RF5eHsOGDSMjI4MRI0awZMkSZezUqVOJjY3FycmJrKws6urqqKqqIicnBzs7O+Lj4wkJCSEiIkK5jYeHBytXruTee+/lzJkzFBYWYmFhQVJSEv7+/j3m7ePjw/r16zEzM6OoqIhTp06h0+nYunUrXl5eLF68WBnb3d1NXl4eNjY25OXlceHCBRoaGti9ezcuLi4sXbpUGRscHExMTAwuLi7s2bOH+vp6Ll68SF5eHra2tqxYsYJp06bx//7f/1OeI09PT7Zt24ZOp6OsrIyioiLMzc1Zt24dEydOJCoqSvHHjx/P2rVrsbCwoLCwkNOnT9PR0UFqairNzc1kZGQoYwMCAoiPj8fW1pbc3Fyqqqqoq6sjMzMTZ2fnHvOePn060dHRuLq6kpGRQWNjI5WVlWzbto1x48axatUqgoODWbhwoXIbLy8vUlJS6Ozs5OTJkxQXFwOwYcMGfH19e7zWfH19SUpK4ty5czQ0NHD27Fna29tJS0vD3d2dmJgYZezkyZNZvnw59vb2HDhwgOrqampra8nKysLR0RGtVquMDQkJ4YMPPmDKlCmkp6fT1NTEuXPnyM/P73WNuD7vLVu20NXVxYkTJzh+/PhNa8T112Vf1witVouDg0Ova8TChQuV57wva8R1v7c14uTJkxw7dqzPa8SNr7XvrhFHjhzB0tKyz2uEpaUla9as6XWN0Gq1jBgxos9rRGVlJQ0NDb2uEWZmZmRmZvZ5jUhNTaW9vb3XNeKDDz5QnqO+rBH+/v6sXLmy1zXiypUr7Nmzp89rxI3z/u4a8fnnn+Pu7t7nNcLT07PHa+3GNWLTpk0MGjSoz2vEwYMHGTp0aK9rRHt7O0FBQXdzuzDw6Y28pqYmPaBvamrqV/fMmTP96okppqmZxjBHMcUUU72m2pK35Ay0c+dOMcUUU0WemGKKaVqm2pLTChioo6MDKyurfvPEFNPUTGOYo5hiiqleU23JESYDLV68WEwxxVSRJ6aYYpqWqbbkCJMkSZIkSdJtkiNMBgoPDxdTTDFV5IkpppimZaotOcJkoMuXL+Ps7NxvnphimpppDHMUU0wx1WuqLTnCZKAdO3aIKaaYKvLEFFNM0zLVlupPXHm7dDodGo2GefPmYWlp2a+2q6trv3piimlqpjHMUUwxxVSvqabkCJOBLl++LKaYYqrIE1NMMU3LVFuyYTJQZ2enmGKKqSJPTDHFNC1TbcmGyUDG8m3OYoqpVtMY5iimmGKq11RbsmEyUE5OjphiiqkiT0wxxTQtU23JaQUM1NjYiJ2dXb95YoppaqYxzFFMMcVUr6m25AiTgeLi4sQUU0wVeWKKKaZpmWpLjjBJkiRJkiTdJjnCZCBjOXW8mGKq1TSGOYopppjqNdWWHGEyUFNTE8OGDes3T0wxTc00hjmKKaaY6jXVlurP9J2cnMyQIUNISEggMDAQjUZDWFgYs2bNYv78+URHR9PW1kZQUBBlZWXo9XqSk5Px8fFh0aJFhIWFER4ezoQJE0hMTGTw4MEcPnyY8vJyWltb2blzJ6NHjyY2NlYZGxgYyNy5cwkICGD//v3U1NRQU1PDvn37cHBwYNmyZcrYGTNmEBkZiZubG7t27aKlpYWKigoKCgqwtLQkMTGRKVOmoNFoOH36NFlZWXh7e5OcnEx3dzclJSWUlJTQ1dXF5s2bGTduHNHR0Yo/adIkEhISsLKyIj8/n4qKCpqbm0lPT2fkyJH8/ve/Z/bs2YSHhxMUFIRWq8XR0ZG9e/dy5coVqquryc7Oxt7enri4OEJDQ1mwYAGhoaFERETg7u7Ojh07aG1tpby8nCNHjpCWlsaXX35JQEAAkZGRylzGjh3Lxo0bASguLqa0tJRr166RkpKCt7d3j3n7+fmxevVqrK2tOXToECtXrsTZ2ZmMjAxGjBjBkiVLlLFTp04lNjYWJycnsrKyqKuro6qqipycHOzs7IiPjyckJISIiAjlNh4eHrz99tu4uLhw5swZCgsLsbCwICkpCX9//x7z9vHxYf369ZiZmVFUVMSpU6fQ6XRs3boVLy8vFi9erIwtLi7m2LFj2NjYkJeXx4ULF2hoaGD37t24uLiwdOlSZWxwcDAxMTG4uLiwZ88e6uvruXjxInl5edja2rJixQqmTZvGr3/9a+U58vT0ZNu2beh0OsrKyigqKsLc3Jx169YxceJEoqKiFH/8+PGsXbsWCwsLCgsLOX36NB0dHaSmpnLw4EGys7OVsQEBAcTHx2Nra0tubi5VVVXU1dWRmZmJs7Nzj3lPnz6d6OhoXF1dycjIoLGxkcrKShYsWICfnx+rVq0iODiYhQsXKrfx8vIiJSWFzs5OTp48SXFxMQAbNmzA19e3x2vN19eXpKQkdu3axdWrVzl79izt7e2kpaXh7u5OTEyMMnby5MksX74ce3t7Dhw4QHV1NbW1tWRlZeHo6IhWq1XGhoSE8MILLzB9+nTS09Npamri3Llz5Ofn97pGXJ/3li1b6Orq4sSJExw/fvymNeL667Kva4RWq8XBwaHXNeKPf/yj8pz3ZY247ve2RmzevJmysrI+rxE3vta+u0asWbOGYcOG9XmNsLS0ZM2aNb2uEa+//joeHh59XiMqKytpaGjodY04ceIEBw8e7PMakZqaSnt7e69rxG9+8xvlOerLGuHv78/KlSt7XSP27dtHbm5un9eIG+f93TUiOjqasWPH9nmN8PT07PFau3GNmD9/PlZWVn1eIw4ePMjQoUN7XSOOHDlCWFjY3dwuDHx6I6+pqUkP6JuamvrVLSkp6VdPTDFNzTSGOYopppjqNdWWfIbJQGfPnhVTTDFV5IkpppimZaot2TAZyMrKSkwxxVSRJ6aYYpqWqbZkw2QgBwcHMcUUU0WemGKKaVqm2pINk4Guf6hVTDHFVIcnpphimpaptuS0AgaqqanBxcWl3zwxxTQ10xjmKKaYYqrXVFtyhMlACQkJYooppoo8McUU07RMtSVHmCRJkiRJkm6THGEykLGcOl5MMdVqGsMcxRRTTPWaakuOMBno6tWrDB48uN88McU0NdMY5iimmGKq11RbcoTJQMuWLRNTTDFV5IkpppimZaot1X+X3O3S6XRoNBrmzZuHpaVlv7lOTk79fl4JMcU0JdMY5iimmGKq11RbcoTJQMeOHRNTTDFV5IkpppimZaot2TAZaCDOJyGmmKZkGsMcxRRTTPWaamtAN0y5ubnMmjULV1dXBg0aRFpaWo/r9Xo98+fPx9XVFSsrK2bOnElpaelATumOs7CwEFNMMVXkiSmmmKZlqq0B3TC1tbXh5+dHXFxcr9dHRUURExNDXFwcR48excXFhUceeYSWlpaBnNYdde7cOTHFFFNFnphiimlapurS/0gB+tTUVOXf3d3dehcXF71Go1Euu3r1qn7YsGH6FStWGHSuXr2qb2pqUn4uXryoB/RNTU39Ot/z58/3qyemmKZmGsMcxRRTTPWaautH+yu5f/3rX7zwwguMGzcO+M9uNCIigqioKO677z7gP4f08vPzqa2t5ZlnngEgOTmZIUOGkJCQQGBgII8//jgvv/wyGo0GjUZDbGwsAEFBQZSVlaHX60lOTsbHx4dFixYRFhZGeHg4EyZMIDExkcGDB3P48GHKy8tpbW1l586djB49mtjYWGVsYGAgv//97wkMDGT//v3U1NRQU1PDvn37cHBwYNmyZcrYGTNmEBkZiZubG7t27aKlpYWKigoKCgqwtLQkMTGRKVOmoNFoKC0tJScnB29vb5KTk+nu7qakpISSkhK6urrYvHkz48aNIzo6WvEnTZpEQkICVlZW5OfnU1FRQXNzM+np6YwcOZI//OEPzJ07l/DwcIKCgtBqtTg6OrJ3716uXLlCdXU12dnZ2NvbExcXR2hoKAsWLCA0NJSIiAjc3d3ZsWMHra2tlJeXc+TIEbZv386JEycICAggMjJSmcvYsWPZuHEj8J8vWiwtLeXatWukpKTg7e3dY95+fn6sXr0aa2trDh06xMqVKxkxYgQZGRmMGDGCJUuWKGOnTp1KbGwsTk5OZGVlUVdXR1VVFTk5OdjZ2REfH09ISAgRERHKbTw8PHj77bcZOXIkZ86cobCwEAsLC5KSkvD39+8xbx8fH9avX4+ZmRlFRUWcOnUKnU7H1q1b8fLyYvHixcrYY8eOUVJSgo2NDXl5eVy4cIGGhgZ2796Ni4sLS5cuVcYGBwcTExODi4sLe/bsob6+nosXL5KXl4etrS0rVqxg2rRpPP/888pz5OnpybZt29DpdJSVlVFUVIS5uTnr1q1j4sSJREVFKf748eNZu3YtFhYWFBYWcvr0aTo6OkhNTSUnJ4cvvvhCGRsQEEB8fDy2trbk5uZSVVVFXV0dmZmZODs795j39OnTiY6OxtXVlYyMDBobG6msrCQiIoIpU6awatUqgoODWbhwoXIbLy8vUlJS6Ozs5OTJk8oXbW7YsAFfX98erzVfX1+SkpLYsWMHXV1dnD17lvb2dtLS0nB3dycmJkYZO3nyZJYvX469vT0HDhygurqa2tpasrKycHR0RKvVKmNDQkKYPXs2oaGhpKen09TUxLlz58jPz++xRmg0mh7z3rJlC11dXZw4cYLjx4/ftEZcf132dY3QarU4ODj0ukb86U9/Up7zvqwR1/3e1ojk5GTKy8v7vEbc+Fr77hrx2Wef4eDg0Oc1wtLSkjVr1vS6Rrzxxhvcf//9fV4jKisraWho6HWNKC4u5siRI31eI1JTU2lvb+91jZg9e7byHPVljfD392flypW9rhGZmZkUFBT0eY24cd7fXSOio6Px9fXt8xrh6enZ47V24xoxf/58bGxs+rxGHDx4kKFDh/a6RuTn5/Pwww//GNuJu9aPduLKQYMGkZqaytNPPw3AF198wYwZM7h06RKurq7KuJdeeonKykr27NnTq6PT6dDpdMq/m5ubGTVqVL+fuLKrqwtzc/N+88QU09RMY5ijmGKKqV5Tbd31v5IbNGhQj3/r9fqbLrsxS0tLbG1te/wMRAsXLhRTTDFV5IkpppimZaqtu3aEqaKigjFjxlBUVERAQIAy7qmnnsLOzo6kpKQ7cuXLdyVJkiRJGuju2hEmDw8PXFxcyMrKUi7r7OwkJyeHkJCQuzUtJWP5ckIxxVSraQxzFFNMMdVrqq6B/ER5S0uL/ssvv9R/+eWXekAfExOj//LLL/WVlZV6vV6v12g0+mHDhum3b9+uLykp0f/mN7/R33ffffrm5uY7vo+mpqYB+Su5Cxcu9KsnppimZhrDHMUUU0z1mmprQI8wFRYWEhAQoLzl9vbbbxMQEMA///lPAP7xj3/wt7/9jddee43AwEAuXbpEZmYmNjY2AzmtO2rfvn1iiimmijwxxRTTtEy1NaCn5pw5cyb6W3xEatCgQcyfPx81fv+vt7e3mGKKqSJPTDHFNC1Tbd31v5JTax0dHWKKKaaKPDHFFNO0TLUlGyYD1dfXiymmmCryxBRTTNMy1daPdqbvgUqn06HRaJg3bx6Wlpb95lpYWDB8+PB+88QU09RMY5ijmGKKqV5TbckRJgOlp6eLKaaYKvLEFFNM0zLV1o924sqBaqBOXNne3s6QIUP6zRNTTFMzjWGOYooppnpNtSVHmAwUExMjpphiqsgTU0wxTctUW3KESZIkSZIk6TbJESYDGcup48UUU62mMcxRTDHFVK+ptuQIk4Fqa2txdHTsN09MMU3NNIY5iimmmOo11ZYcYTLQ9u3bxRRTTBV5YooppmmZakvOw2QgMzMz7rvvvn7zxBTT1ExjmKOYYoqpXlNtqX7DlJyczJAhQ0hISCAwMBCNRkNYWBizZs1i/vz5REdH09bWRlBQEGVlZej1epKTk/Hx8WHRokWEhYURHh7OhAkTSExMZPDgwRw+fJjy8nJaW1vZuXMno0ePJjY2VhkbGBjIv/71L8aNG8f+/fupqamhpqaGffv24eDgwLJly5SxM2bMIDIyEjc3N3bt2kVLSwsVFRUUFBRgaWlJYmIiU6ZMQaPRMHToULZs2YK3tzfJycl0d3dTUlJCSUkJXV1dbN68mXHjxhEdHa34kyZNIiEhASsrK/Lz86moqKC5uZn09HRGjhzJRx99xLPPPkt4eDhBQUFotVocHR3Zu3cvV65cobq6muzsbOzt7YmLiyM0NJQFCxYQGhpKREQE7u7u7Nixg9bWVsrLyzly5Ajnzp0jOzubgIAAIiMjlbmMHTuWjRs3AlBcXExpaSnXrl0jJSUFb2/vHvP28/Nj9erVWFtbc+jQIQ4ePMiQIUPIyMhgxIgRLFmyRBk7depUYmNjcXJyIisri7q6OqqqqsjJycHOzo74+HhCQkKIiIhQbuPh4cHKlSuxtbXlzJkzFBYWYmFhQVJSEv7+/j3m7ePjw/r16zEzM6OoqIhTp06h0+nYunUrXl5eLF68WBlrZmbGvn37sLGxIS8vjwsXLtDQ0MDu3btxcXFh6dKlytjg4GBiYmJwcXFhz5491NfXc/HiRfLy8rC1tWXFihVMmzaN//3f/1WeI09PT7Zt24ZOp6OsrIyioiLMzc1Zt24dEydOJCoqSvHHjx/P2rVrsbCwoLCwkNOnT9PR0UFqaiptbW3s2LFDGRsQEEB8fDy2trbk5uZSVVVFXV0dmZmZODs795j39OnTiY6OxtXVlYyMDBobG6msrFR+H6tWrSI4OJiFCxcqt/Hy8iIlJYXOzk5OnjxJcXExABs2bMDX17fHa83X15ekpCQqKyu5cuUKZ8+epb29nbS0NNzd3YmJiVHGTp48meXLl2Nvb8+BAweorq6mtraWrKwsHB0d0Wq1ytiQkBDee+89/P39SU9Pp6mpiXPnzpGfn9/rGnF93lu2bKGrq4sTJ05w/Pjxm9aI66/Lvq4RWq0WBweHXteIBQsWKM95X9aI635va0RZWRmHDx/u8xpx42vtu2vE0aNHMTMz6/MaYWlpyZo1a3pdI7RaLc7Ozn1eIyorK2loaOh1jbjnnntIT0/v8xqRmppKe3t7r2vEe++9pzxHfVkj/P39WblyZa9rRH19Pbt27erzGnHjvL+7Rnz++eeMHDmyz2uEp6dnj9fajWvEpk2b6Orq6vMacfDgQYYOHdrrGqHT6fDz87ub24WBT2/kNTU16QF9U1NTv7o7duzoV09MMU3NNIY5iimmmOo11ZZ8hslA7u7uYooppoo8McUU07RMtSUbJgPl5eWJKaaYKvLEFFNM0zLVlpxWwEDffPMN9957b795YoppaqYxzFFMMcVUr6m25AiTgT755BMxxRRTRZ6YYoppWqbakiNMkiRJkiRJt0mOMBnIWE4dL6aYajWNYY5iiimmek21JUeYbuH29xErMcU0JdMY5iimmGKq11RbcoTJQGvWrBFTTDFV5IkpppimZaot1Z/p+3YN1Fej2NjY9PsXCYoppimZxjBHMcUUU72m2pIjTAY6deqUmGKKqSJPTDHFNC1TbcmGyUDW1tZiiimmijwxxRTTtEy1JRsmAw3ECbjEFNOUTGOYo5hiiqleU23JhslAx48fF1NMMVXkiSmmmKZlqvLbU98AACAASURBVC05rYCBqqurcXV17TdPTDFNzTSGOYopppjqNdWWHGEyUGJiophiiqkiT0wxxTQtU23JESZJkiRJkqTbpPrzMCUnJzNkyBASEhIIDAxEo9EQFhbGrFmzmD9/PtHR0bS1tREUFERZWRl6vZ7k5GR8fHxYtGgRYWFhhIeHM2HCBBITExk8eDCHDx+mvLyc1tZWdu7cyejRo4mNjVXGBgYG8uSTTxIUFMT+/fupqamhpqaGffv24eDgwLJly5SxM2bMIDIyEjc3N3bt2kVLSwsVFRUUFBRgaWlJYmIiU6ZMQaPRkJubS25uLt7e3iQnJ9Pd3U1JSQklJSV0dXWxefNmxo0bR3R0tOJPmjSJhIQErKysyM/Pp6KigubmZtLT0xk5ciRPP/00c+fOJTw8nKCgILRaLY6Ojuzdu5crV65QXV1NdnY29vb2xMXFERoayoIFCwgNDSUiIgJ3d3d27NhBa2sr5eXlHDlyhE8//ZTS0lICAgKIjIxU5jJ27Fg2btwIQHFxMaWlpVy7do2UlBS8vb17zNvPz4/Vq1djbW3NoUOH0Gg0jBw5koyMDEaMGMGSJUuUsVOnTiU2NhYnJyeysrKoq6ujqqqKnJwc7OzsiI+PJyQkhIiICOU2Hh4evPjii4waNYozZ85QWFiIhYUFSUlJ+Pv795i3j48P69evx8zMjKKiIk6dOoVOp2Pr1q14eXmxePFiZWxmZiYnTpzAxsaGvLw8Lly4QENDA7t378bFxYWlS5cqY4ODg4mJicHFxYU9e/ZQX1/PxYsXycvLw9bWlhUrVjBt2jQeffRR5Tny9PRk27Zt6HQ6ysrKKCoqwtzcnHXr1jFx4kSioqIUf/z48axduxYLCwsKCws5ffo0HR0dpKamkpqaSn5+vjI2ICCA+Ph4bG1tyc3Npaqqirq6OjIzM3F2du4x7+nTpxMdHY2rqysZGRk0NjZSWVnJu+++S2BgIKtWrSI4OJiFCxcqt/Hy8iIlJYXOzk5OnjxJcXExABs2bMDX17fHa83X15ekpCTWrFlDd3c3Z8+epb29nbS0NNzd3YmJiVHGTp48meXLl2Nvb8+BAweorq6mtraWrKwsHB0d0Wq1ytiQkBB+9rOf8cADD5Cenk5TUxPnzp0jPz+/1zXi+ry3bNlCV1cXJ06c4Pjx4zetEddfl31dI7RaLQ4ODr2uEb/85S+V57wva8R1v7c14pNPPuGrr77q8xpx42vtu2tETEwMw4cP7/MaYWlpyZo1a3pdI+bMmYO3t3ef14jKykoaGhp6XSP27dtHYWFhn9eI1NRU2tvbe10jHn/8ceU56ssa4e/vz8qVK3tdIzZt2sThw4f7vEbcOO/vrhHvvfceEyZM6PMa4enp2eO1duMa8eabb2Jra9vnNeLgwYMMHTq01zUiPT2dRx555G5uFwY8OcJkIJ1O168nwhRTTFMzjWGOYooppnpNtSWfYTLQ0qVLxRRTTBV5YooppmmZakv1b8ndroH6ahQXF5f/j717D4vqPPf//+aQIHIQJAgqAiIFEQ+gIIqEHHbS5mSaQ9MmNcl3pzl2p02aJt2NbbNrG0RQBEENooSIKESBgEKIigcEDWooUlFRIShCCBGUg4gZFdbvj6nzk4RJHB1kjdyf6+JqC896cQ8r6+6TZ9Y8y+j7Sogp5mAyTaFGMcUUU72m2iIrTHqyf/9+McUUU0WemGKKObhMtUUmTHoycuRIMcUUU0WemGKKObhMtUUmTHpiYWEhpphiqsgTU0wxB5eptsiESU/q6urEFFNMFXliiinm4DLVFrnpW0/s7e1xcHAwmiemmIPNNIUaxRRTTPWaaousMOnJxx9/LKaYYqrIE1NMMQeXqbbIxpV6cvnyZSwtLY3miSnmYDNNoUYxxRRTvabaIitMehIVFSWmmGKqyBNTTDEHl6m2yAqTRCKRSCQSyY9EVpj0JCIiQkwxxVSRJ6aYYg4uU22RFSY9aWhowM3NzWiemGIONtMUahRTTDHVa6otssKkJ4WFhWKKKaaKPDHFFHNwmWqLTJj0xM/PT0wxxVSRJ6aYYg4uU22RCZOenDt3TkwxxVSRJ6aYYg4uU22RCZOetLW1iSmmmCryxBRTzMFlqi2qfzRKRkYGQ4cOJTk5maCgIKKioggPD2f27NnMmzePmJgYzp8/T3BwMFVVVSiKQkZGBn5+fixatIjw8HAiIiKYOHEiKSkpDBkyhH379lFTU0NnZyebNm3Cw8ODuLg43digoCAyMjJwd3dnx44dNDU10dTUxPbt23FycmLp0qW6sbNmzSI6Ohp3d3fy8vI4d+4ctbW17N27FysrK1JSUpg2bRpRUVHcc889rFixAh8fHzIyMujp6aGyspLKykq6u7tZv34948ePJyYmRudPnjyZ5ORkrK2tKS0tpba2lo6ODvLz83Fzc2PdunU8+OCDREREEBwcTEJCAs7Ozmzbto3Tp0/T2NhIUVERjo6OLFu2jLCwMObPn09YWBiRkZF4enqyceNGOjs7qampYf/+/djb27Nx40YCAwOJjo7W1eLr60t6ejoAFRUVHD58mEuXLpGZmYmPj0+vuqdMmcKqVauwsbFhz549nD17lp6eHgoKChg9ejRLlizRjZ0+fTpxcXGMGDGCwsJCWlpaaGhoYNeuXTg4OJCYmEhoaCiRkZG6Y8aOHUtRUREWFhYcP36csrIyLC0tSU1NJSAgoFfdfn5+rF27FnNzc8rLyzl69CgajYasrCy8vb1ZvHixbmxwcDBZWVnY2dlRUlLCqVOnaG1tZfPmzbi6uhIfH68bGxISQmxsLK6urmzZsoUzZ85QX19PSUkJ9vb2rFixghkzZpCcnKw7R15eXmRnZ6PRaKiqqqK8vBwLCwvS0tKYNGkSCxcu1PkTJkxgzZo1WFpaUlZWxrFjx7hw4QI5OTn4+PiQmpqqGxsYGEhiYiL29vYUFxfT0NBAS0sLW7duxcXFpVfdM2fOJCYmhlGjRlFQUEBbWxt1dXUcPnyYkSNHsnLlSkJCQliwYIHuGG9vbzIzM7l48SJHjhyhoqICgHXr1uHv79/rWvP39yc1NRV7e3tqamqorq6mq6uL3NxcPD09iY2N1Y2dOnUqy5cvx9HRkZ07d9LY2EhzczOFhYU4OzuTkJCgGxsaGsrq1avx9fUlPz+f9vZ2Tpw4QWlpaZ894krdGzZsoLu7m0OHDnHw4MHv9Ygr16WhPSIhIQEnJ6c+e8THH3+sO+eG9Igrfl894rbbbmPr1q0G94irr7Xv9oiuri7Onz9vcI+wsrJi9erVffaIzZs3Y2tra3CPqKuro7W1tc8eERoaSlpamsE9Iicnh66urj57xEcffaQ7R4b0iICAAJKSkvrsEe7u7qSlpRncI66u+7s94ssvv8TBwcHgHuHl5dXrWru6Rxw8eJD29naDe8Tu3buxtbXts0f4+/vj4eExkNOF/o9i4mlvb1cApb293ahubGysUT0xxRxspinUKKaYYqrXVFtkWwE96ezsxNbW1miemGIONtMUahRTTDHVa6otcg+TnixZskRMMcVUkSemmGIOLlNtkRUmiUQikUgkkh+JrDDpialsHS+mmGo1TaFGMcUUU72m2iIrTHrS0tLCHXfcYTRPTDEHm2kKNYopppjqNdUWWWHSk6ysLDHFFFNFnphiijm4TLVF9fsw/Vg0Gg1RUVHMnTsXKysro7mWlpa4uroazRNTzMFmmkKNYooppnpNtUVWmPSkoaFBTDHFVJEnpphiDi5TbZEJk570x61dYoo5mExTqFFMMcVUr6m2yIRJT8aMGSOmmGKqyBNTTDEHl6m2yIRJT0pLS8UUU0wVeWKKKebgMtUW2VZAT86cOYOTk5PRPDHFHGymKdQopphiqtdUW2SFSU8SExPFFFNMFXliiinm4DLVFllhkkgkEolEIvmRyAqTnpjK1vFiiqlW0xRqFFNMMdVrqi2ywqQn586dw87OzmiemGIONtMUahRTTDHVa6otqt/pOyMjg6FDh5KcnExQUBBRUVGEh4cze/Zs5s2bR0xMDOfPnyc4OJiqqioURSEjIwM/Pz8WLVpEeHg4ERERTJw4kZSUFIYMGcK+ffuoqamhs7OTTZs24eHhQVxcnG5sUFAQc+bMYerUqezYsYOmpiaamprYvn07Tk5OLF26VDd21qxZREdH4+7uTl5eHufOnaO2tpa9e/diZWVFSkoK06ZNIyoqisOHD7Nt2zZ8fHzIyMigp6eHyspKKisr6e7uZv369YwfP56YmBidP3nyZJKTk7G2tqa0tJTa2lo6OjrIz8/Hzc2NZ599ljlz5hAREUFwcDAJCQk4Ozuzbds2Tp8+TWNjI0VFRTg6OrJs2TLCwsKYP38+YWFhREZG4unpycaNG+ns7KSmpob9+/eTnZ1NRUUFgYGBREdH62rx9fUlPT0dgIqKCg4fPsylS5fIzMzEx8enV91Tpkxh1apV2NjYsGfPHj744ANcXV0pKChg9OjRLFmyRDd2+vTpxMXFMWLECAoLC2lpaaGhoYFdu3bh4OBAYmIioaGhREZG6o4ZO3Ysb775JiNHjuT48eOUlZVhaWlJamoqAQEBver28/Nj7dq1mJubU15eztGjR9FoNGRlZeHt7c3ixYt1Y//1r39RXl6OnZ0dJSUlnDp1itbWVjZv3oyrqyvx8fG6sSEhIcTGxuLq6sqWLVs4c+YM9fX1lJSUYG9vz4oVK5gxYwZPPvmk7hx5eXmRnZ2NRqOhqqqK8vJyLCwsSEtLY9KkSSxcuFDnT5gwgTVr1mBpaUlZWRnHjh3jwoUL5OTkUFRURHFxsW5sYGAgiYmJ2NvbU1xcTENDAy0tLWzduhUXF5dedc+cOZOYmBhGjRpFQUEBbW1t1NXV8f777xMQEMDKlSsJCQlhwYIFumO8vb3JzMzk4sWLHDlyhIqKCgDWrVuHv79/r2vN39+f1NRUcnNz0Wg0VFdX09XVRW5uLp6ensTGxurGTp06leXLl+Po6MjOnTtpbGykubmZwsJCnJ2dSUhI0I0NDQ3lqaeeIjQ0lPz8fNrb2zlx4gSlpaV99ogrdW/YsIHu7m4OHTrEwYMHv9cjrlyXhvaIhIQEnJyc+uwR/+///T/dOTekR1zx++oR6enpHD161OAecfW19t0e8eGHH+Lg4GBwj7CysmL16tV99ojXXnsNLy8vg3tEXV0dra2tffaIiooKPv/8c4N7RE5ODl1dXX32iF/+8pe6c2RIjwgICCApKanPHrFlyxZ2795tcI+4uu7v9ojo6GjGjx9vcI/w8vLqda1d3SPee+89hg4danCP2L17N7a2tn32iM8//5y77757AGcLNyGKiae9vV0BlPb2dqO6hw8fNqonppiDzTSFGsUUU0z1mmqL3MOkJ1VVVWKKKaaKPDHFFHNwmWqLTJj0pD/eixVTzMFkmkKNYooppnpNfTl9+jRff/21wcctWrSI/Pz86/69MmHSk2HDhokpppgq8sQUU8zBZfaVkydP8vrrr2Nra2vwsX/84x9JTExk8+bN1/W7ZcKkJ4cPHxZTTDFV5Ikpppi3trl371527dql9+fnzp3j2WefJS4u7rpWtK58wObtt9/mm2++Mfx4tX9K7sei0WiIiopi7ty5WFlZGc11cXEx+hKjmGIOJtMUahRTTDHVYwYFBdHc3MxTTz3V589/97vf8fDDD3PPPfdc9++wtrbm7NmzfPzxxzz++OMGHSsrTHqSkpIipphiqsgTU0wxb12zqqqKb775htDQ0D5/fuDAAXbu3MkLL7xwQ78HtBOvvLw8ampqDDpONq6USCQSiUQyoFm1ahWvvPIK5eXlBAYGfu/nzzzzDBMnTuSvf/2rUX7fk08+iY+PDwsWLLjmY2SFSU9MZet4McVUq2kKNYopppjqMEtKShg2bBhTpkz53s86OjrIzc3loYceuqHfcXXCw8PJyckx6BhZYdKTS5cucdtttxnNE1PMwWaaQo1iiinmwJkff/wxMTExAJSXl+Pk5ISHhwcAy5cvJyQkBIBPPvmE559/nvb2diwsLPR6ycnJbNmyheHDh2NmZsbEiRP53e9+1+fYAwcOMHXqVJqamnBxcbmmemWFSU9iY2PFFFNMFXliiinmrWU+/fTTlJWVkZOTg6IovPPOO5SVlVFWVqabLAF8/vnnBAcH/+Bkad68eezYsYP09HSSkpL405/+REJCAkeOHOlzvKenJwD//ve/r73gAd1n3Ajpr0ejfPnll0b1xBRzsJmmUKOYYoo58GZqaqoCKKWlpX3+/KGHHlLmzJmj93iNRqMMGTJEyc/P131v7dq1ypgxY5SWlpY+j+np6VEsLCyUpKSka65TVpj0pLS0VEwxxVSRJ6aYYt6aZlFRETY2NgQFBfX586+++goHBwe9x3d2dvLtt98yd+5csrKy+Oqrr5gzZw6nTp3Cycmpz2PMzMx0t/Nca2TCpCdjxowRU0wxVeSJKaaYt6ZZVFTErFmzsLS07PPnnZ2dP7iT+PDhw5kzZw6VlZU89dRTjBkzhl/84hd0dXX94O+1srJCo9Fcc50yYZJIJBKJRDIgqa+v58SJE9x11116x1hYWHDx4sUfdNLS0sjPz+edd95hzJgxZGdnM3fu3B885uzZswY9YkUmTHpSX18vpphiqsgTU0wxbz1z586dAL0mTHFxcShXfYDfwcGBs2fP9nn84sWLGTFiBPX19Tz88MMsWrSI6upqpkyZ8oMbU54/fx6NRsPo0aOvuVaTnzBdvtw/7syZM8UUU0wVeWKKKeatZ37xxRdYWFgQHBwMQG1tLSdPnsTMzEw3xtPTU++E6aOPPsLS0rLXStHtt9/O6NGjufPOO/X+3ivPkvP19b3mWvt+w1AlURSFc+fO9fqeRqPp9Z7jK69oZ0y5uR08+iiYG2kKmJaWxltvvWUcTEwxB6FpCjWKKaaYxjXt7Ox6TXZ+LMOHD8fBwYHbb7+djo4O5s6dy4oVK3qNmTx5MpmZmX0eHxwczEsvvcTw4cN131uzZg1ff/01b7zxht7fW1pair29PRMnTrzmWlW9ceWVTSklEolEIpGoP4ZuIn327Fl+9atf4eTkxG233cZ7772Hj49PrzElJSXcfffdnDlz5nufluvs7OTvf/87XV1dmJub097ezrhx4/jjH//4g/OHV199lY6ODjIyMq65VlVPmK5lhenrr79m+vTppKcfIyvLldxcGDoUnn0WXn0VvLyu73d7eXlRW1t7I+WL+Z90dHQwZswY6uvrjbobuym8dlMx++McmcLrNhVTriH1m3KOtKahK0zXkp6eHkaNGkVycjKPPPKIUTxvb2+WLVtm0ONWVP2WnJmZ2TX/g3fnnUN55hl7GhogMRGSkrRfDz8Mb74J//VfYMg5HDFihNEf5juYTQB7e3ujuqby2k3FBOOeI1N53aZiglxDajdBzlF/xNzcnJdeeomPP/7YKBOmrKwsbGxsePDBBw2r44Z/s8ri5gbz50N9PSQnw6lTcP/9MHGidgJ1/vy1OePGjTN6bYPZ7I+Yyms3FdPYMZXXbSpmf8RUXrupmP0RU3nt/f33fPPNN9m8eTMnTpy4YSsqKor4+HjDV8KueU9wlaa+vl4BlPr6+j5/3tOjKEVFivL444pibq4ojo6K8qc/KcrJkz/sfvXVV0avdbCa/fX4GlN47aZi9sc5MoXXbSqmXEPqN+UcGd/8bhITE5UXXnjhhozIyEjl7bffvq5jTX6FycrKqtd/fjdmZnDXXfDJJ/Dll/Dii7BqlfbepiefhOJi6Osurs2bNxu91sFqWllZ8eijj+o9R9cbU3jtpmL2xzkyhddtKqZcQ+o35RwZ3/xuXnvtNbq7u0lNTb2u47ds2cKxY8eIjo6+ruMt5s2bN++6jlRJuru7iYqK4m9/+9uP/oPq4AA//Sn8/vcwejTk50NMDGzcCFZW4OcHV3Zmv3jxIm5ubkatdbCalpaWeHl54eHhYTQTTOO1m4rZH+fIFF63qZhyDanflHNkfLOvzJ49m1WrVjFu3DicnZ0NOrarq4tXXnkF8+vcf8jkV5iuJzY28NvfwpEjsGWLdvL0m9/AmDHwt79BYyMGPZDvWiOmmIPJNIUaxRRTTPWafcXS0pLExET8/PwMPnby5Mk39Am+QTlhuhIzM+2KU34+HD8OzzwD8fHg4QHvvz+evXuN+/u+u0WCmGLeyqYp1CimmGKq11RbTP4tOY1GQ1RUFHPnzr2h946dnODBB+F3v4MRI+Czz6yJjbXgs8+0+zqNHw8WFjder6FLiGKKacqmKdQopphiqtdUUwb1ClNfsbfX7tv0hz98QF4eDBum3QTT0xPefx9On75+e+vWrUarU0wx1W6aQo1iiimmek21RdU7fV9Lrjw+xdDt2H8s586dw87ODtDe65SQAGvWQHe39q27N96AqVOv3+yPOsUUU02mKdQopphiqtdUW2SFSU/i4+N1/33CBFixAhoaICICdu6EadPgzjshKwsuXzbc7I86B9L84IMPGDt2LEOGDGHatGmUlJToNYuKijAzM/ve19GjR/u9TjF7p7i4mNmzZzNq1Cjs7e3Jzc01igvqft1qM68+D2ZmZn2eB7mG1GkuWLCA4OBg7OzsGDlyJI899hjHjh0zig3qfu39baotssJ0Hbl8GTZt0t4gXlys/XTd66/DSy9p74UabFm/fj3PPfccH3zwAbNmzSIpKYnk5GSOHDmCu7v798YXFRVxzz33cOzYsV7nzNnZGQtj3CgmueZ89tln7Nmzh6lTp/Lkk0+Sk5PDY489NtBlDboYeh7kGlJPHnjgAZ5++mmCg4O5fPkyf/3rX6msrOTIkSPY2NgMdHkSY+aGtsxUQfprd9X333//msYdOKAoL7ygKFZWimJtrSgvv6wolZU3ZhoSNZjTp09XXnvttV7fGz9+vPLuu+/2ae7cuVMBlNbW1ptap5g/HEDJyckxmmcqr1ttpr7zINeQaZinT59WAGXXrl1GM40dUzHVFpkw6UlLS4tB40+fVpSICEUZNUpRQFHuvVdRNm5UlMuXr9+8lgy0qdFoFAsLC+WTTz7p9f033nhDCQ8P79O80uw9PT0VV1dX5d5771V27NjRr3WK+eMx9oTJVF632kx950GuIdMwq6urFUCp1PdvztdhGjumYqotcg+TnmzYsMGg8c7O8Ne/wsmTkJEBXV3w85+Djw/ExUF7u+Fmf9RpbLOlpYXu7m5cXFx6fd/FxYWmpqY+zZEjR7Jy5Uqys7P55JNP8PX15b/+678oLi7utzrFvPkxlddtiqZcQ+o0169fzx//+EfCwsKYOHGiUUxTee2m0JNuNJYDXYBaM3PmzOs67rbb4OmntV/792s/XffnP8N778Ejj/yCe+8FX9+Br9PY5nd3T1UUpdf3rjZ9fX3xveqPMHPmTOrr64mJiSE8PLxf6xTz5sVUXrcpmnINqdPctWsXBw8eZPfu3UYzTeW1m0JPutGofuPKjIwMhg4dSnJyMkFBQURFRREeHs7s2bOZN28eMTExnD9/nuDgYKqqqlAUhYyMDPz8/Fi0aBHh4eFEREQwceJEUlJSGDJkCPv27aOmpobOzk42bdqEh4cHcXFxurFBQUH8/e9/Z/z48ezYsYOmpiaamprYvn07Tk5OLF26VDd21qxZREdH4+7uTl5eHufOnaO2tpa9e/fi5WVFW1sKiYnTKCv7nN27x7F4sSUlJRrKywsZPryNQ4cqqayspLu7m/Xr1zN+/Hhd04uIiGDy5MkkJydjbW1NaWkptbW1dHR0kJ+fj5ubG/PmzeOJJ54gIiKC4OBgEhIScHZ2Ztu2bZw+fZrGxkaKiopwdHRk2bJlhIWFMX/+fMLCwoiMjMTT05ONGzfS2dlJTU0N+/fv58svv2TXrl0EBgYSHR2tq8XX15f09HQAKioqOHz4MBYWFqxatYq7776bTZs26cY2NDRQU1PDvffey549e9i1axc2NjYUFBQwevRolixZohs7ffp00tPTOXr0KC4uLrS0tNDQ0MCuXbtwcHAgMTGR0NBQIiMjdceMHTuWxMRE7O3tOX78OGVlZVhaWpKamkpAQECvuv38/Fi7di3m5uaUl5dz9OhRNBoNWVlZeHt7s3jxYt1YRVHYsWMHdnZ2lJSUcOrUKVpbW9m8eTOurq7Ex8frxoaEhBAbG4urqytbtmzhzJkz1NfXU1JSgr29PStWrGDGjBn87//+r+4ceXl5kZ2djUajoaqqivLyciwsLEhLS2PSpEksXLhQ50+YMIE1a9ZgaWlJWVkZx44d48KFC+Tk5NDR0dHr7x0YGKj7exQXF9PQ0EBLSwtbt27FxcWlV90zZ84kJiaGUaNGUVBQQFtbG3V1daxevZq7776b7du3ExISwoIFC3THeHt7k5mZycWLFzly5AgVFRUArFu3Dn9//17Xmr+/P6mpqdTW1tLc3Ex1dTVdXV3k5ubi6elJbGysbuzUqVNZvnw5jo6O7Ny5k8bGRpqbmyksLMTZ2ZmEhATd2NDQUObOnUtgYCD5+fm0t7dz4sQJSktL++wRV+resGED3d3dHDp0iIMHD36vR1hbW5OZmWlwj0hISMDJyanPHvH+++/rzvkP9QgrKytSUlKYNm2aru5//OMf/OxnP6OsrIyenh4qK7U94vDhw+zbt09vj+ju7mbnzp2MHz++V4+4+lr7bo/Yu3cvFhYWBvcIKysrVq9e3WePiIuLw9XVVdcjLl26RGZmJj4+Pr3qnjJlCqtWrcLGxoY9e/ZQV1dHa2trnz3CwsKCTz/9lBEjRlBYWHjNPSInJ4eurq4+e8TcuXN158iQHhEQEEBSUtL3esTzzz/Pnj17+PWvf81TTz1lUI+4uu7v9ohNmzYxZswYg3uEl5dXr2vt6h6Rnp5OT0+PwT1i9+7d2NrasnLlyu/1iK6uLgICAgZyutD/Gdh3ysjt4AAAIABJREFUBG88/XUPU15enlE9RVGUTz75VFm9WlECA7X3Ofn6KsqyZYpy7tz1m/1Rp6Hm9OnTld/+9re9vufn59frpu8fM5988knlnnvuMej3quG130omRr6HyVRet9pMfedBriF1mj09Pcrrr7+ujBo1SklKSjKKeXXU/Nr721Rb5C05PemPpy6PHTuKgAB4/nnYs0f7dt2bb2rvfXrxRe3WBF5eA1+noeYf//hHnnvuOYKCgpg5cyYrV67k1KlTvPbaawDMnTuXyspKHnnkEQCWLFmCp6cn/v7+XLx4kbVr15KdnU12dna/1inm93Nl1eBKTpw4QUVFBcOHD+9zSwhDoubXrTbzx86DXEPqNV9//XXS09PZuHEjly5d0t27OWzYMKytrW/YV/Nr729TbZGbvvVkr7GfvHuVaWYGYWGwYQPU1sJrr8Hq1eDtDY89Bjt2wLXujtWfdV5rfvWrX7FkyRL++c9/EhAQQHFxMQUFBXh4eADw9ddfc/z4cd34ixcv8s477zB58mTuvPNOdu/ezaeffsoTTzzRr3WK+f2UlZURGBhIYGAgoJ38BgYG8n//9383bKv5davN/LHzINeQes3ExETa29u5++67uf/++xk5ciQjR45k/fr1RvHV/Nr721RbZONKPWlpaeGOO+4wmvdjZlcXrFunXXU6dAgmTdI+fmXOHPihf0m52XWKKeZAeWKKKebgMtUWWWHSkxUrVtxUc+hQePllOHgQtm+HsWPhlVfAzQ3mzoX6enXUKaaYA+WJKaaYg8tUW2SFScWprYVly+DDD+H8eXjiCe09T6Gh2rf1JBKJRCKR3JzICpOeREREDLjp5QWxsfDVV9rn1v3739p7n4KDYc0a0GjUUaeYYt4MT0wxxRxcptoiK0x60tnZia2trdE8Y5g9PbB1q3bytHkzjBgBv/nNRd5883ZcXdVTp5hi9ocnpphiDi5TbZEVJj1ZtWqV6kxzc3jgAfjsMzh6FJ56SrsC5e4Ozz4LX3yhjjrFFLM/PDHFFHNwmWqL6nf6/rFoNBqioqKYO3cuVlZWRnMdHR2Nfse/Mc077oCHHoKf/exLfH2dyM6GRYu0K1A2NtrHr1hYDHydYg5e0xRqFFNMMdVrqi2ywqQnlZWVJmHW1f2bt96C6mrIzdVuQfDMM9pP2UVGQnOzOuoUc/CZplCjmGKKqV5TbZEJk544ODiYlGlhAT//uXZLgoMHtatP778PY8ZodxH/97/VUaeYg8c0hRrFFFNM9Zpqi0yY9MTOzs5kzUmTYOVKaGiAefO0b9MFBMDdd0NODnR3q6NOMW9t0xRqFFNMMdVrqi0yYdKTqqoqkzednODdd+HECe1jWLq7tXs5jRsHMTHQ2qqOOsW8NU1TqFFMMcVUr6m2yE3feuLs7Gz0jTAHyjQ3B39/+M1vYPZs+OYb7SNYlizRrkKNGwfOzgNfp5i3lmkKNYopppjqNdUWWWHSk9WrV9+S5rRpkJoKp07Bn/+svVF8wgT46U/h00+1ez2poU4xTd80hRrFFFNM9Zpqi2xcOchz8SJkZmo3w/ziC/D2ht//Hv77v0H+nBKJRCKRaCMrTHpiKlvH36h5++0wZw7s2welpRAUBG+91Y2bm/a5dTU16qhTTNMzTaFGMcUUU72m2qL6e5gyMjIYOnQoycnJBAUFERUVRXh4OLNnz2bevHnExMRw/vx5goODqaqqQlEUMjIy8PPzY9GiRYSHhxMREcHEiRNJSUlhyJAh7Nu3j5qaGjo7O9m0aRMeHh7ExcXpxgYFBVFeXs4dd9zBjh07aGpqoqmpie3bt+Pk5MTSpUt1Y2fNmkV0dDTu7u7k5eVx7tw5amtr2bt3L1ZWVqSkpDBt2jSioqJ49913iYyMxMfHh4yMDHp6eqisrKSyspLu7m7Wr1/P+PHjiYmJ0fmTJ08mOTkZa2trSktLqa2tpaOjg/z8fNzc3CgrK+Ouu+4iIiKC4OBgEhIScHZ2Ztu2bZw+fZrGxkaKiopwdHRk2bJlhIWFMX/+fMLCwoiMjMTT05ONGzdy/nwn335bg7v7fv7nf4bw5ZfVbNs2moULoazMjK1b1zFjhgvp6ekAVFRUcPjwYS5dukRmZiY+Pj696p4yZQqrVq3CxsaGPXv24ObmRnt7OwUFBYwePZolS5boxk6fPp24uDhGjBhBYWEhLS0tNDQ0sGvXLhwcHEhMTCQ0NJTIyEjdMWPHjuX06dN8++23HD9+nLKyMiwtLUlNTSUgIIDo6GjdWD8/P9auXYu5uTnl5eUcPXoUjUZDVlYW3t7eLF68WDf2f/7nf1i1ahV2dnaUlJRw6tQpWltb2bx5M66ursTHx+vGhoSEEBsbi6urK1u2bOHMmTPU19dTUlKCvb09K1asYMaMGRQXF+vOkZeXF9nZ2Wg0GqqqqigvL8fCwoK0tDQmTZrEwoULdf6ECRNYs2YNlpaWlJWVcezYMS5cuEBOTg7PPvtsr79hYGAgiYmJ2NvbU1xcTENDAy0tLWzduhUXF5dedc+cOZOYmBhGjRpFQUEBbW1t1NXVoSgKdnZ2rFy5kpCQEBYsWKA7xtvbm8zMTC5evMiRI0eoqKgAYN26dfj7+/e61vz9/UlNTeWuu+7iX//6F9XV1XR1dZGbm4unpyexsbG6sVOnTmX58uU4Ojqyc+dOGhsbaW5uprCwEGdnZxISEnRjQ0ND+fzzzxkzZgz5+fm0t7dz4sQJSktL++wRV+resGED3d3dHDp0iIMHD36vR1y5Lg3tEQkJCTg5OfXZIw4cOKA754b0iCt+Xz0iJCSEzMxMg3vE1f+cfLdH/OQnP6GpqemaekRnZyc1NTXs378fKysrVq9eTWBgYK9rzdfXl7q6OszNzQ3uEXV1dbS2tvbZI/7whz8QHx9vcI/Iycmhq6urzx6xZ88e3TkypEcEBASQlJTUZ4944oknev3/w7X2iKvr/m6PsLa2xtLS0uAe4eXl1etau7pHdHd389VXXxncI3bv3o2trW2fPeL5559n2LBhAzld6P8oJp729nYFUNrb243qLliwwKieKZpdXYqSkqIoU6YoCiiKn5+iJCYqSmfn9ZvGjJjqNk2hRjHFFFO9ptoiEyY9OXHihFE9UzZ7ehSlqEhRnnhCUczNFcXBQVH+9CdFOXny+k1jREx1m6ZQo5hiiqleU22Re5j0ZPfu3WL+J2ZmcNddkJ0NX34JL78Mq1aBlxc8+STs2gU/9tEBU33tYqrHE1NMMQeXqbbIhElPPDw8xOwjnp6wcKF2/6bly6GqSruDeGAgfPQRfPutOuoUc+BNU6hRTDHFVK+ptsiESU+6f+z5IYPctLGB116Dw4e1j1658sy6MWPgb3+Dr75SR51iDpxpCjWKKaaY6jXVFpkw6cnXX38t5jXEzAzuvx/y8uD4cfj1r7W7iHt6wjPPwN692rfrBrpOMW++aQo1iimmmOo11RbVbyvwY+mvR6MMHTqU4cOHG80bDObw4fDgg/D66+Diot1FfNEiKCgAT88RTJtmi4XFwNcp5s0xTaFGMcUUU72m2iIrTHqSnZ0t5nXG3h7eeAOOHYP8fHBwgLffdsHDA/75T+2z7NRQp5j9a5pCjWKKKaZ6TbVFHo2iJxqNxqgrVoPdrKi4SFLS7axZA5cvw9NPa3cSnzr1+k1Tee2D1TSFGsUUU0z1mmqLrDDpyaJFi8Q0YvLzF5KYqP103fz52q0Ipk2DO+/UPsvu8mV11Cmmej0xxRRzcJlqi6wwSQYkly9rbxSPj9dOntzctPc+vfwyODkNdHUSiUQikfSOrDDpiak8nNBUTUtLePxxKCqCAwfgpz+FefO02xK88gpUVqqjTjHV44kpppiDy1RbZIVJTxobGxk1apTRPDF/3Gxu1u4gvnw5NDbCvfdqbx5/5BH6/HTdrfTab0XTFGoUU0wx1WuqLbLCpCefffaZmDfZdHaGv/wFTp6EjAy4cAEeewx8fCAuDtra1FGnmAPjiSmmmIPLVFtkwqQnkydPFnOAzNtu036K7vPPYf9+CA2FP/9Ze5/T736n3a5ADXWKeXM9McUUc3CZaotMmPTk7NmzYqrADA6GtDSoq4O339Z+om78eO0GmVu3mtPTo446xex/T0wxxRxcptoiEyY9OX/+vJgqMkeOhH/8A06dgtRUOH0a/va3aUyYoL3nqbNTHXWK2X+emGKKObhMtUX1j0bJyMhg6NChJCcnExQURFRUFOHh4cyePZt58+YRExPD+fPnCQ4OpqqqCkVRyMjIwM/Pj0WLFhEeHk5ERAQTJ04kJSWFIUOGsG/fPmpqaujs7GTTpk14eHgQFxenGxsUFMTatWtxd3dnx44dNDU10dTUxPbt23FycmLp0qW6sbNmzSI6Ohp3d3fy8vI4d+4ctbW17N27FysrK1JSUpg2bRpRUVHceeedJCUl4ePjQ0ZGBj09PVRWVlJZWUl3dzfr169n/PjxxMTE6PzJkyeTnJyMtbU1paWl1NbW0tHRQX5+Pm5ubqSlpfHggw8SERFBcHAwCQkJODs7s23bNk6fPk1jYyNFRUU4OjqybNkywsLCmD9/PmFhYURGRuLp6cnGjRvp7OykpqaG/fv3Y2try6ZNmwgMDCQ6OlpXi6+vL+np6QBUVFRw+PBhLl26RGZmJj4+Pr3qnjJlCqtWrcLGxoY9e/bQ3NyMoigUFBQwevRolixZohs7ffp04uLiGDFiBIWFhbS0tNDQ0MCuXbtwcHAgMTGR0NBQIiMjuffecPLyIliwYCznz+dy+bIbiYlDiIu7RHV1O/v3r2PmzPG96vbz82Pt2rWYm5tTXl7O0aNH0Wg0ZGVl4e3tzeLFi3VjAwMDyc7Oxs7OjpKSEk6dOkVrayubN2/G1dWV+Ph43diQkBBiY2NxdXVly5YtnDlzhvr6ekpKSrC3t2fFihXMmDGDpKQk3Tny8vIiOzsbjUZDVVUV5eXlWFhYkJaWxqRJk1i4cKHOnzBhAmvWrMHS0pKysjKOHTvGhQsXyMnJwdvbm9TU1F51JyYmYm9vT3FxMQ0NDbS0tLB161ZcXFx61T1z5kxiYmIYNWoUBQUFtLW1UVdXx8GDBxk5ciQrV64kJCSEBQsW6I7x9vYmMzOTixcvcuTIESoqKgBYt24d/v7+va41f39/UlNTsbGx4csvv6S6upquri5yc3Px9PQkNjZWN3bq1KksX74cR0dHdu7cSWNjI83NzRQWFuLs7ExCQoJubGhoKMnJyYwfP578/Hza29s5ceIEpaWlffaIK3Vv2LCB7u5uDh06xMGDB7/XI65cl4b2iISEBJycnPrsEenp6bpzbkiPuOL31SMsLCwoLCw0uEdcfa19t0ecO3eOrq4ug3uElZUVq1ev7rNHfPrpp9jZ2RncI+rq6mhtbdXbI9auXXtNPeLKMWPHjiUnJ4euri6OHz9OWVkZlpaWpKamEhAQQHJysu4cGdIjAgICSEpK6rNHjB49mrVr1xrcI66u+7s9orq6GkdHR4N7hJeXV69r7eoeUV5eTkdHh8E9Yvfu3dja2vbZI3x9ffH09BzA2cJNiGLiaW9vVwClvb3dqG58fLxRPTH7zzx1SlHefVdRhg9XFDMzRXn0UUXZvl1Renqu3zRmBqtpCjWKKaaY6jXVFtlW4AdcY2+EKWb/mhcuwLp12s0wDx2CiRO12xLMmQNDh6qnzsFimkKNYooppnpNtUXuYdKThIQEMU3MtLaGl16Cgwdhxw4YNw5efVW7Gea770J9vTrqHCymKdQopphiqtdUW2SFSXJLp7ZWe1P4hx9qbwx/4gntqtOsWWBmNtDVSSQSicRUIitMemIqW8eL+cPx8oLFi7UP/U1I0K4+3XknBAVpP22n0aijzlvRNIUaxRRTTPWaaousMOnJ2bNnGT58uNE8MdVh9vTA1q3aydNnn8GIEfDaa9qvkSPVU+etYJpCjWKKKaZ6TbVFVpj0JCMjQ8xb0DQ3hwcegIICOHoUfvlL7QqUhwc8+ywsWLBdFXXeCqYp1CimmGKq11RbVL8P049Fo9EQFRXF3LlzsbKyMpo7ZMgQXFxcjOaJqT7zjjvgoYfg9de1/z07GwoK/NmyBWxtwde374f+3uw6TdU0hRrFFFNM9Zpqi6ww6cnJkyfFHCTmsGHw1ltQXQ1/+cs+bGzgmWfA0xPmz4fm5hvz1fza+9M0hRrFFFNM9Zpqi0yY9MTCGEsLYpqUaWEBoaEtbNsGlZXw8MMQEaHdluA3v4H/bG494HWaimkKNYopppjqNdUWmTDpyciRI8UcxObEibBypfbTdf/4B2zbBoGBcNdd8MkncPmyOupUs2kKNYopppjqNdUWmTDpyRdffCGmmDg5wZ//rN3PKTNT+ym7J58Eb29YtAhaW9VRpxpNU6hRTDHFVK+ptsi2AnrS3NyMs7Oz0Twxbx2zvFy7LUFGBlhawnPPaTfDnDBBXXUOtGkKNYopppjqNdUWWWHSk6SkJDHF7DNTp8Lq1XDqlPaRKxs3gr8//PSnkJ+vXYVSQ50DbZpCjWKKKaZ6TbVFVpgkkhvMxYuQlaV96O/+/dpn2P3+9/DCCyD/SEokEsmtEVlh0hNT2TpezIE3b78dfv1r2LcPSkth+nR45x1wc4M334S33lquijpvtmkKNYopppjqNdUWWWHSk66uLoYOHWo0T8zBZX71FaxYof06c0bhoYfMeOMNuP9+4zz0V82vvb88McUUc3CZaousMOlJYmKimGJed0aPhvffh/p6eOqpLTQ0wM9+pr3XacUKOH9eHXX2p2kKNYopppjqNdUW1T8aJSMjg6FDh5KcnExQUBBRUVGEh4cze/Zs5s2bR0xMDOfPnyc4OJiqqioURSEjIwM/Pz8WLVpEeHg4ERERTJw4kZSUFIYMGcK+ffuoqamhs7OTTZs24eHhQVxcnG5sUFAQBQUFuLu7s2PHDpqammhqamL79u04OTmxdOlS3dhZs2YRHR2Nu7s7eXl5nDt3jtraWvbu3YuVlRUpKSlMmzaNqKgoHn/8cVasWIGPjw8ZGRn09PRQWVlJZWUl3d3drF+/nvHjxxMTE6PzJ0+eTHJyMtbW1pSWllJbW0tHRwf5+fm4ubnx6aef8sADDxAREUFwcDAJCQk4Ozuzbds2Tp8+TWNjI0VFRTg6OrJs2TLCwsKYP38+YWFhREZG4unpycaNG+ns7KSmpob9+/fj7u7Oxo0bCQwMJDo6WleLr68v6enpAFRUVHD48GEuXbpEZmYmPj4+veqeMmUKq1atwsbGhj179tDT00N3dzcFBQWMHj2aJUuW6MZOnz6duLg4RowYQWFhIS0tLTQ0NLBr1y4cHBxITEwkNDSUyMhI3TFjx47lwIEDWFhYcPz4ccrKyrC0tCQ1NZWAgIBedfv5+bF27VrMzc0pLy/n6NGjaDQasrKy8Pb2ZvHixbqx999/P1lZWdjZ2VFSUsKpU6dobW1l8+bNuLq6Eh8frxsbEhJCbGwsrq6ubNmyhTNnzlBfX09JSQn29vasWLGCsLAZlJZ+QE7OAzQ0rMHS8ifEx1uwdGk35eWnaG7eg719D2lpaUyaNImFCxfq/AkTJrBmzRosLS0pKyvj2LFjXLhwgZycHKZPn87q1at1YwMDA0lMTMTe3p7i4mIaGhpoaWlh69atuLi49Kp75syZxMTEMGrUKAoKCmhra6Ouro6vvvoKV1dXVq5cSUhICAsWLNAd4+3tTWZmJhcvXuTIkSNU/GcXz3Xr1uHv79/rWvP39yc1NRV3d3eqq6uprq6mq6uL3NxcPD09iY2N1Y2dOnUqy5cvx9HRkZ07d9LY2EhzczOFhYU4OzuTkJCgGxsaGkpOTg6+vr7k5+fT3t7OiRMnKC0t7bNHXKl7w4YNdHd3c+jQIQ4ePPi9HnHlujS0RyQkJODk5NRnj9i8ebPuujSkR1zx++oRzs7ObN261eAecfW19t0ecfvtt3P+/HmDe4SVlRWrV6/us0eUlpZia2trcI+oq6ujtbW1zx7x0EMPsWbNGoN7RE5ODl1dXX32iJycHN05MqRHBAQEkJSU1GePmDRpEmlpaQb1iBkzZvSq28vLi+zsbDQaDVVVVZw5cwYHBweDe4SXl1eva+3qHlFXV0d7e7vBPWL37t3Y2tr22SNCQ0Px8PAYyOlC/0cx8bS3tyuA0t7eblR3/fr1RvXEFPNKTp5UlD/9SVEcHBTF3FxRHn9cUYqKFKWn5/pNY8TYpinUKKaYYqrXVFvkLTk9cXJyElPMfjE9PGDhQu0u4h98AMeOwd13a3cST0mBb79VR51q88QUU8zBZaotMmHSE2trazHF7FfTxgZefRUOHYLCQu0z6156Sfuff/2r9sZxNdSpFk9MMcUcXKbaIhMmPTl+/LiYYt4U08wM7rsP8vLg+HGYMweWLgVPT3j6ae1WBd/9LKspvHZTqFFMMcVUr6m2qP6m7x+LRqMhKiqKuXPnYmVlZTTXycmJYcOGGc0TU8xryfDh8MAD8Prr4OoKubnaZ9YVFIC1NYwfDxYWA1/nQHhiiinm4DLVFllh0pPU1FQxxRww095eu1v4sWPw6afg6Kh9Zp2HB/zjH7B8eZYq6ryZnphiijm4TLVFNq6USEwkVVXat+pSU+HyZe3bdW+8AdOmDXRlEolEcutHVpj0xFS2jhdz8Jh+ftpP1TU0wL33FlJcDEFBEBYGGzZoJ1FqqLO/PDHFFHNwmWqLrDDpSXd3NxYWFkbzxBTT2CZYsGkTJCRAUZH22XWvvw4vvwzX8wlfY9dpSn9LMcUUU32m2iIrTHqycOFCMcVUtWlhAY8/Djt3QkWF9tEr8+ZpJ04vvwyVlQNbpyn9LcUUU0z1marLwO6beePpr52+T548aVRPTDFvhtncrCjz5yvK6NGKAopyzz2KkpurKJcvX79p7BrFFFNMMU0xssKkJ8XFxWKKaXLmHXfAX/4CJ07Axx+DRgOPPQY/+QnExkJb282r09T/lmKKKebAmmqLTJj0ZOzYsWKKabLmbbfBr34Fe/bA/v0waxa8++7/f5/T0aP9X+et8rcUU0wxB8ZUW2TCpCeXb/QjR2KKqRIzOBjS0uDUKXjnHcjK0n7i7oEH4LPPoKenf+oc6NctpphimraptvTbhOmTTz7hZz/7GXfccQdmZmZUVFR8b4xGo+H3v/89d9xxBzY2Njz66KM0NDT0V0kGpampSUwxbynT1VV7U/ipU7BmDbS0wEMPaSdPy5bBiRMtA16jmGKKKaZa028TpvPnzzNr1iyioqL0jvnDH/5ATk4OH3/8Mbt376azs5NHHnnkPx+ZHthM64fdAMUUUw2mlZV21/AvvtC+ZRcQAH/4A7zxxuO89RbU1g58jWKKKaaYaku/TZiee+45/u///o/77ruvz5+3t7fz4YcfsnjxYu677z4CAwNZu3YtlZWVbNu2Ta+r0Wjo6Ojo9dUfyc3NFVPMW9o0M4PQUFi/XnuTeHDwF6Slgbc3/PznsH379x/6e7NrFFNMMQevqbb0+8N329raiI+P57XXXsPV1VX3/c8//5yPPvqIlStXYm1tDYCdnR2ffPIJNjY23HPPPQBkZGQwdOhQkpOTCQoK4sEHH+TVV18lKiqKqKgo4uLiAAgODqaqqgpFUcjIyMDPz49FixYRHh5OREQEEydOJCUlhSFDhrBv3z5qamro7Oxk06ZNeHh4EBcXpxsbFBTE3r17cXZ2ZseOHTQ1NdHU1MT27dtxcnJi6dKlurGzZs0iOjoad3d38vLyOHfuHLW1tezduxcrKytSUlKYNm0aUVFRvPXWW0RFReHj40NGRgY9PT1UVlZSWVlJd3c369evZ/z48cTExOj8yZMnk5ycjLW1NaWlpdTW1tLR0UF+fj5ubm58/vnn3H333URERBAcHExCQgLOzs5s27aN06dP09jYSFFREY6OjixbtoywsDDmz59PWFgYkZGReHp6snHjRjo7O6mpqWH//v2EhoaSlpZGYGAg0dHRulp8fX1JT08HoKKigsOHD3Pp0iUyMzPx8fHpVfeUKVNYtWoVNjY27NmzB2dnZzo6OigoKGD06NEsWbJEN3b69OnExcUxYsQICgsLaWlpoaGhgV27duHg4EBiYiKhoaFERkbqjhk7diwNDQ1oNBqOHz9OWVkZlpaWpKamEhAQ0KtuPz8/1q5di7m5OeXl5Rw9ehSNRkNWVhbe3t4sXrxYN/bFF1/kww8/xM7OjpKSEk6dOkVrayubN2/G1dWV+Ph43diQkBBiY2NxdXVly5YtnDlzhvr6ekpKSrC3t2fFihXMmDGD7du3686Rl5cX2dnZaDQaqqqqKC8vx8LCgrS0NCZNmsTChQt1/oQJE1izZg2WlpaUlZVx7NgxLly4QE5ODr/4xS9ISEjQjQ0MDCQxMRF7e3uKi4tpaGigpaWFrVu34uLi0qvumTNnEhMTw6hRoygoKKCtrY22tjrGjDnOe+850NS0l5oab2JizMjKgi1bPmX6dDtyczO5ePEiR44c0b3Fvm7dOvz9/Xtda/7+/qSmpjJjxgwOHDhAdXU1XV1d5Obm4unpSWxsrG7s1KlTWb58OY6OjuzcuZPGxkaam5spLCzE2dm512sMDQ2lqKgIDw8P8vPzaW9v58SJE5SWlvbqEVFRUbpjvL292bBhA93d3Rw6dIiDBw9+r0dcuS4N7REJCQk4OTn12SP27dunO+eG9Igrfl89IiAggOzsbIN7xNXX2nd7hLu7O998843BPcLKyorVq1f32SOqq6uxsLAwuEfU1dXR2traZ4/47W9/y9KlSw3uETk5OXR1dfXZI4qKinTnyJAeERAQQFJSUp894qGHHmL58uUG94ir6/5ujzA3N+f22283uEd4eXn1utau7hEXLlzg66+/NqhH1NXVsXv3bmxtbVm5ciUhISEsWLBAd8yvfvUrHB0d+3M6MfDp730LTpw4oQAFESnyAAAgAElEQVTKgQMHen1/3bp1yu233/698ffff7/yyiuv6PW+/fZbpb29XfdVX1/fL/swvf/++0b1xBTTlMyeHkXZsUNRHntMUczMFGX4cEX5858Vpa5OPTWKKaaYt7apthjl0Sjr1q3j1Vdf1f3vzz77jDvvvBOAkydPMnbsWA4cOEBAQIBuTHp6Oi+88AIajaaXdf/99zNu3DhWrFhxTb9bHr4rkfRvTpyA5cshORk6O7W7i7/xhvYZdmZmA12dRCKR3JwY5R6mRx99lIqKCt1XUFDQjx7j6urKxYsXaW1t7fX906dP4+LiYoyybiim8nBCMcXsb3PsWIiJ0T70NyFB+8iV8HCYNg1SU+Hbbwe+RjHFFPPWM1WX/l7C0veWXFtbm3Lbbbcp69ev132vsbFRMTc3VzZv3nzNfn89GuXrr782qiemmLeK2d2tKJs3K8qDD2ofv+LsrCjvvacojY3qqVFMMcU0fVNt6bdPyZ09e5aKigqOHDkCwLFjx6ioqNDt1TBs2DBefPFF3n77bbZv386BAwd49tlnmTRpkt5P1t3M5OXliSmmmH3E3Fz7oN+CAjh2TLujeFwcuLvDnDnancUHukYxxRTT9E21pd8mTJs2bSIwMJCHH34YgKeffprAwMBe9ybFxcXx2GOP8ctf/pJZs2YxdOhQ8vLysLCw6K+yrjlX328lpphi9h0fH1i6VPt23aJFsHcvhITAjBnwzTf3cunSwNcopphimqaptvTbhOm///u/URTle19X72IwZMgQli5dypkzZ+jq6iIvL48xY8b0V0kG5cyZM2KKKeY1Ztgw7eaXx4/Dpk1gawvvvTcOT0+IiIDm5oGvUUwxxTQtU22RZ8npyYULF8QUU0wDY2EBs2fDtm0QF7eNRx6ByEgYMwZeeAH6eELSTa9RTDHFNA1TbZEJk5785Cc/EVNMMW8g993nSlKS9u26f/5Tu3N4YCDcdRdkZ8P1PKvTFF63mGKKeWtGJkx6snPnTjHFFNMI3vDh8L//q31GXWam9nErv/gFjBsHCxfC2bMDV6OYYoqpXlNtMcrGlQOZ/tq4sr29nWHDhhnNE1PMwWb+kHfggHZPp/R07dt4zz8Pv/89+Pvf3BrFFFNM9Zpqi6ww6cnSpUvFFFPMfvICA+Gjj6C+HubO1d4oPnEi3H8/5OVBT8/NqVFMMcVUr6m2yAqTRCIZ8Fy8CFlZEB+v3cdp3DjtitMLL4Bc1hKJRA2RFSY9MZWt48UUU62mId7tt8Ovfw379mn3cpo+Hd55B0aP1j63rrq6f2oUU0wx1WuqLbLCpCdtbW04ODgYzRNTzMFm3qjX2AiJiZCUpN3H6aGH4MUXO3n8cVujPvTXFP6WYoo5GE21RVaY9GTt2rViiinmAHqjRsH778OpU9r7nRob4cknbZkwQTuROn9eHXWKKaaY/WOqLRbzrt562wSj0WiIiopi7ty5WFlZGc21trbGxcXFaJ6YYg4201iepSUEBMCrr4Kn55e0tQ0nNhaWL4eWFu3jWW7kX2xN4W8pppiD0VRbZIVJT7788ksxxRRTRZ6ZGTg4VJKVpd3T6ZVXICVFe4P4449DUZF2j6eBrlNMMcW8NaP6FaaMjAyGDh1KcnIyQUFBREVFER4ezuzZs5k3bx4xMTGcP3+e4OBgqqqqUBSFjIwM/Pz8WLRoEeHh4URERDBx4kRSUlIYMmQI+/bto6amhs7OTjZt2oSHhwdxcXG6sUFBQcTHx+Pr68uOHTtoamqiqamJ7du34+TkxNKlS3VjZ82aRXR0NO7u7uTl5XHu3Dlqa2vZu3cvVlZWpKSkMG3aNKKionBzc2P9+vX4+PiQkZFBT08PlZWVVFZW0t3dzfr16xk/fjwxMTE6f/LkySQnJ2NtbU1paSm1tbV0dHSQn5+Pm5sbCQkJPP7440RERBAcHExCQgLOzs5s27aN06dP09jYSFFREY6OjixbtoywsDDmz59PWFgYkZGReHp6snHjRjo7O6mpqWH//v20trZSVFREYGAg0dHRulp8fX1JT08HoKKigsOHD3Pp0iUyMzPx8fHpVfeUKVNYtWoVNjY27Nmzh8rKSoYOHUpBQQGjR49myZIlurHTp08nLi6OESNGUFhYSEtLCw0NDezatQsHBwcSExMJDQ0lMjJSd8zYsWP5+OOPsbe35/jx45SVlWFpaUlqaioBAQG96vbz82Pt2rWYm5tTXl7O0aNH0Wg0ZGVl4e3tzeLFi3Vjhw8fzrZt27Czs6OkpIRTp07R2trK5s2bcXV1JT4+Xjc2JCSE2NhYXF1d2bJlC2fOnKG+vp6SkhLs7e1ZsWIFM2bMICoqSneOvLy8yM7ORqPRUFVVRXl5ORYWFqSlpTFp0iQWLlyo8ydMmMCaNWuwtLSkrKyMY8eOceHCBXJycrjtttvIzc3VjQ0MDCQxMRF7e3uKi4tpaGigpaWFrVu34uLi0qvumTNnEhMTw6hRoygoKKCtrY26ujq2bduGt7c3K1euJCQkhAULFuiO8fb2JjMzk4sXL3LkyBEq/vOMk3Xr1uHv79/rWvP39yc1NZW2tjZOnz5NdXU1XV1d5Obm4unpSWxsrG7s1KlTWb58OY6OjuzcuZPGxkaam5spLCzE2dmZhIQE3djQ0FAWLlxIQEAAu3fnM316O7Nn12Fl9Q1ffOFMXJwFn3zSw9atn/Lzn/sQHa2te8OGDXR3d3Po0CEOHjz4vR5x5bo0tEckJCTg5OTUZ49Yvny57pwb0iOu+H31iK+//pq9e/ca3COuvta+2yOqq6sxNzc3uEdYWVmxevXqPntEamoqLi4uBveIuro6Wltb++wRI0aMIC8vz+AekZOTQ1dXV589YtGiRbpzZEiPCAgIICkpqc8e0d3dTV5ensE94uq6v9sjdu/ejZubm8E9wsvLq9e1dnWPuFKroT1i9+7d2Nra9tkjrK2tmTJlykBOF/o/iomnvb1dAZT29najumVlZUb1xBRzsJk3s8aeHkUpLFSU2bMVxcxMUZycFGXuXEWpr79+80Yipphi3nqRt+T05F//+peYYoqpIu+HTDMzuO8+7QaYx4/Dc8/BsmXg6QlPPw2ff67/7TpT+FuKKeZgNNUW2VZAT7755huj38AmppiDyRzoGs+dg9WrYelS7T5OQUHaPZ1++Uu4+vMhA12nmGKKaRqRFSY9WbVqlZhiiqkiz1DTzk67W/jRo/Dpp9qHAD//PHh4wD/+AU1N6qhTTDHFNI3ICpNEIvn/2rv3qKrrfP/jTwEPFwUl5DJ4QyQUEAEFUUQ8023qlObMqWZqmk5Np+tkc85pzXSczszYhAjIRS6KFyJBlBANUSIVFRQNdYhIVBQJA3dEgAGCENhm//74LvdPGvYYCfLd8H6txVppn/3wvdf2+14fP9/v/nxGTCoqlBWn1FS4fl25Xff738PcuUNdmUQiUXtkhclAjGXreDHFVKupxho9PGD9evjyS1i9GoqKlFt1CxfCjh3KJEoNdYopppjqi6wwGUhnZyeWlpYD5okp5kgzjaFGrRZ27uxiwwZzCgth0iR49VV44QWYMEE9dYop5kg01RZZYTKQ9evXiymmmCryBsM0NQWNJpGCAvjsM/jZz+Bvf4PJk+E//xNOn1ZHnWKKORJNtUX1G1feKoN1NIq9vT12dnYD5okp5kgzjaHGm01HR1i6FF5+WXlgPCMDIiPhyBHl6JW77waTH/hPTGN772KKqUZTbZEVJgMpLS0VU0wxVeTdKXPCBFixAi5dgsxM6O5Wjl5xc4PoaGhpUUedYoo53E21RSZMBmJvby+mmGKqyLvT5ujRyp5Nx4/D3/8OixYpE6mJE5XnnM6fV0edYoo5XE21RSZMBjKQt/fEFHMkmsZQ4w81/f0hLQ1qa+GPf4QPPlC+cffgg5CXBz096qhTTDGHk6m2yITJQIzlNGcxxVSraQw19td0coK//hVqapQJVFMTPPwwzJyp7O/U1qaOOsUUcziYaos89G0gtra2jBs3bsA8McUcaaYx1PhjTTMz8PFRth944AFlAhUbq5xf19AAQUH2TJ1qPeR1iimmMZtqi6wwGcjWrVvFFFNMFXlqNEeNgqAg5eHwL76A3/0Otm6FxYt/wtKlcOiQ4UN/72SdYoppjKbaIhtXGkhPTw8mP/Q7xGKKKeage8ZidnZCenoPCQkmlJeDl5dy6O/TT4OVlXrqFFNMtZtqy/B+d7eRsLAwMcUUU0WesZiWlvD112F89hkUFCj7N73yirKL+JtvKg+Oq6FOMcVUu6m2qP4ZpoyMDKysrEhOTsbf35/w8HBCQkJYsmQJK1euJCoqimvXrhEQEEBFRQU6nY6MjAw8PDxYs2YNISEhhIaGMmvWLFJSUrCwsODkyZNUVVXR3t7Onj17mDp1KrGxsfqx/v7+fPrpp9jZ2XH48GHq6+upr6/n0KFD2NnZkZCQoB+7cOFCIiIimDJlCnv37qWtrY3q6mpOnDiBubk5KSkpzJ07l/DwcP70pz+xatUq3N3dycjIoKenh/LycsrLy9FqtWRmZjJz5kyioqL0/uzZs0lOTsbS0pLi4mKqq6u5evUqubm5TJo0iU8++YTFixcTGhpKQEAA8fHx2Nvbc/DgQRoaGqirq6OwsBBbW1sSExMJDg5m1apVBAcHExYWhouLCzk5ObS3t1NVVcWpU6e49957SU1Nxc/Pj4iICH0tM2bMYPv27QCUlZVx9uxZrl+/TlZWFu7u7r3q9vHxYfPmzYwZM4bjx48zefJkWlpayMvLY+LEiaxdu1Y/dt68ecTGxuLg4EB+fj5NTU1oNBqOHDnC+PHjSUpKIigoiLCwMP1rpk2bRmNjI52dnVRWVlJSUoKZmRmpqan4+vr2qtvDw4P09HRMTEwoLS3l/PnzdHV1sXPnTtzc3IiOjtaPfe2119i0aRPW1tYUFRVRW1tLc3Mz+/btw8nJibi4OP3YwMBAYmJicHJyYv/+/Vy5coXLly9TVFSEjY0NGzZsYP78+RQVFek/I1dXV3bt2kVXVxcVFRWUlpZiamrK1q1b8fb2JjIyUu97enqSlpaGmZkZJSUlXLhwgc7OTrKzs3nmmWd6/Z318/MjKSkJGxsbjh49ikajoampiQMHDuDo6Nir7gULFhAVFYWzszN5eXm0tLRQU1MDgLW1NZs2bSIwMJDVq1frX+Pm5kZWVhbd3d2cO3eOsrIyALZt24aXl1eva83Ly4vU1FR++tOfUlJSwsWLF+no6GD37t24uLgQExOjHztnzhzWrVuHra0tBQUF1NXV0djYSH5+Pvb29sTHx+vHBgUFUVxczOTJk8nNzaW1tZVLly5RXFzcZ4+4UfeOHTvQarWcOXOG06dP/0OPuHFd9rdHxMfHG+wRZWVlLF68mPT0UBISFnLt2gamT3fn3XdNiI424fDhJmpqTuDsrO3VI274ffWIBQsWsGPHjn73iJuvte/3CHd3d7766qt+9whzc3O2bNnSZ4+ora1l1KhR/e4RNTU1NDc399kj/ud//oe1a9f2u0dkZ2fT0dHRZ4/4+OOP9ddlf3qEr68vGzdu7LNHPPbYY73+zv7QHnFz3d/vEVZWVpiZmfW7R7i6uva61m7uET09PXz55Zf97hHHjh1j7NixffaIZ599dkDv8qgyOiNPa2urDtC1trYOqBsaGjqgnphijjTTGGq802Zbm063fr1ON3OmTgc6nZ+fTvfeezpdZ+ePN28nYoqpZlNtkQmTgdTU1AyoJ6aYI800hhqHytRqdbr9+3W6f/s3ZeJkb6/T/d//6XRffvnjzR8TMcVUs6m2yDNMBlJYWCimmGKqyBtOpomJsh3Bhx/ChQvwq1/B2rUwdSo89RScPKmOOsUUcyhNtUUmTAYyffp0McUUU0XecDXd3SE+HjQaiIqCU6dg/nzlZ/t25Sw7NdQppph32lRbZMJkIF1dXWKKKaaKvOFujhsHv/+9suK0Zw9YW8Ovfw0uLvDOO1Bf33NL407UKaaYd8pUW2TCZCCNjY1iiimmiryRYpqawpIlkJ8PZ84o/716NTz5ZBDPPQeffqqOOsUUc7BNtUX12wrcKoN1NIq5uTl2dnYD5okp5kgzjaFGtZsODsqE6ZVX4LvvviE314rISDh8GGxslNt5t7NXoJrfu5hiqi2ywmQge/bsEVNMMVXkjWTzrrvA0TGVzz+HnTuV33vsMZg+HSIj4ZtvfpxrDO9dzJFrqi1yNIqBdHZ2YmlpOWCemGKONNMYajRm89NPlYfFt29XbuP95jfKESxeXuqqU0wxh0tkhclAoqOjxRRTTBV5YvY2/fzgvffg8mX4059g716YNQvuu0/5b61WHXWKKeZwiawwSSQSyTBIdzfs2gVxcco+Tq6usHw5PPec8g08iURye5EVJgMJDQ0VU0wxVeSJ+c/Nf/kXePJJOHFC+Zk/H/7wB+XQ3+XLobJSHXWKKaaxRlaYDOTrr7/G0dFxwDwxxRxppjHUONzNujrYsEH5aWyEhx5S9np64AEYNUo9dYoppjFEVpgMJCcnR0wxxVSRJ2b/TWdn+NvfoLYWtmyB+np48EHw9IT16yEz80NV1CmmmMYQ2Yfpn8TZ2XlAPTHFHGmmMdQ4EkwzM/D1hRdfhHvvhUuXICYGioq8uXLFBHd3sLUd+jrFFFPNkRUmA/n666/FFFNMFXli3r45ahQsWgRZWcqk6Wc/q+G998DNDX7+cygogNt9SEOt711M4zPVFpkwGUj3jRMvxRRTTFV4Yg6sOWUKPP10ORoNJCXBxYtwzz3KStS770JnpzrqFHPkmmqLTJgMxFhOcxZTTLWaxlCjmNOxslJu1ZWXw8GDMHUqvPACTJ6s7O+k0aijTjFHnqm2qP4ZpoyMDKysrEhOTsbf35/w8HBCQkJYsmQJK1euJCoqimvXrhEQEEBFRQU6nY6MjAw8PDxYs2YNISEhhIaGMmvWLFJSUrCwsODkyZNUVVXR3t7Onj17mDp1KrGxsfqx/v7+LF++HD8/Pw4fPkx9fT319fUcOnQIOzs7EhIS9GMXLlxIREQEU6ZMYe/evbS1tVFdXc2JEycwNzcnJSWFuXPnEh4eztdff82BAwdwd3cnIyODnp4eysvLKS8vR6vVkpmZycyZM4mKitL7s2fPJjk5GUtLS4qLi6murubq1avk5uYyadIkXn/9dZ566ilCQ0MJCAggPj4ee3t7Dh48SENDA3V1dRQWFmJra0tiYiLBwcGsWrWK4OBgwsLCcHFxIScnh/b2dqqqqjh16hSFhYWUlpbi5+dHRESEvpYZM2awfft2AMrKyjh79izXr18nKysLd3f3XnX7+PiwefNmxowZw/Hjx8nMzMTBwYG8vDwmTpzI2rVr9WPnzZtHbGwsDg4O5Ofn09TUhEaj4ciRI4wfP56kpCSCgoIICwvTv2batGm8/fbbODk5UVlZSUlJCWZmZqSmpuLr69urbg8PD9LT0zExMaG0tJTz58/T1dXFzp07cXNzIzo6Wj/2iy++4JNPPsHa2pqioiJqa2tpbm5m3759ODk5ERcXpx8bGBhITEwMTk5O7N+/nytXrnD58mWKioqwsbFhw4YNzJ8/nxdeeEH/Gbm6urJr1y66urqoqKigtLQUU1NTtm7dire3N5GRkXrf09OTtLQ0zMzMKCkp4cKFC3R2dpKdnc2ZM2coLCzUj/Xz8yMpKQkbGxuOHj2KRqOhqamJAwcO4Ojo2KvuBQsWEBUVhbOzM3l5ebS0tFBTU8O6devw8fFh06ZNBAYGsnr1av1r3NzcyMrKoru7m3PnzlFWVgbAtm3b8PLy6nWteXl5kZqaSlFREZ2dnVy8eJGOjg52796Ni4sLMTEx+rFz5sxh3bp12NraUlBQQF1dHY2NjeTn52Nvb098fLx+bFBQEC+99BILFiwgNzeX1tZWLl26RHFxcZ894kbdO3bsQKvVcubMGU6fPv0PPeLGddnfHhEfH4+dnV2fPeK///u/9Z95f3rEDb+vHrF//37OnTvX7x5x87X2/R6RnZ3NuHHjKCws5K67bMnLS2TdumCuXl2Pt3cACQldxMSY8uGHNWi1tbS2nuXvfz+Fubk5W7Zs6bNHvPXWW0ybNq3fPaKmpobm5uY+e4RGo+HYsWP97hHZ2dl0dHT02SNefvll/WfUnx7h6+vLxo0b++wRn3zyCUePHu13j7i57u/3iOTkZGbMmNHvHuHq6trrWru5R6xduxYLC4t+94hjx44xduzYPntEZWUlISEhQzldGPTItgIG0tLSwvjx4wfME1PMkWYaQ41i/nOzrQ1SU5UjWC5ehLlzlW0JnngCDH3HZri8dzGH3lRb5JacgSQmJoopppgq8sS886a1Nbz2Gpw/D3l5MGECPPOMcttu5UplmwI11Cnm8DTVFllhkkgkEskPzvnzkJCgrDx1d8Mvf6msOvn7D3VlEsngRlaYDMRYto4XU0y1msZQo5j9N2fOhHXrlIfBw8Ph2DEICICgIMjMhLffDlNFnWIav6m2yAqTgbS2tjJugE+sFFPMkWQaQ41i3r6p1UJurnLob0EBODv38LvfmfDii8otPLXUKabxmWqLrDAZSFpamphiiqkiT0x1mqam8OijcPgwfPYZTJ1awTvvKIf+Pv88nD6tjjrFND5TbVH9tgK3ymAdjTJmzBgcHBwGzBNTzJFmGkONYg6s6egIgYEN/OUvDlhbQ0YGREbCkSMwbhy4u4PJj/hnujG8dzEH3lRbZIXJQC5evCimmGKqyBPTeMwJE2DFCuX4lcxMuH4dfvEL5QiW6GhoblZHnWKq21RbZMJkIJaWlmKKKaaKPDGNzxw9Wtmz6dgxKClRzrFbsUK5Xffqq1BRoY46xVSnqbbIhMlA7OzsxBRTTBV5Yhq3OXcupKVBbS388Y/wwQfg6Qk/+5myx1NPjzrqFFM9ptoiEyYDuXH0g5hiiqkOT8zhYTo5wV//qkyctm6Fb76Bhx9WtitISFB2F1dDnWIOvam2yLYCBlJfX4+Tk9OAeWKKOdJMY6hRzKE3dTo4cULZlmDnTrCygt/+FpYvhxvnuaqhTjHvvKm2yAqTgSQnJ4spppgq8sQcnuaoUbBgAbz/PnzxhTJRSk+Hu++GJUvg4EHYvHno6xTzzptqi6wwSSQSiURV6exUtiSIi1P2cfL0hNdfh9/8RlmBkkiGIrLCZCDGsnW8mGKq1TSGGsVUp2lpqdyWKyuDwkLQ6c7z6qvKt+v++EeoqVFHnWIOrqm2yAqTgXz77bdYWFgMmCemmCPNNIYaxTQes77egnXrIDkZrl6FZcuUQ38XLVJu66mlTjGHb2SFyUASEhLEFFNMFXlijmzTxQXWrFEO/U1MhHPnYPFimDMH3nsPvv1WHXWKOXyj+qNRMjIysLKyIjk5GX9/f8LDwwkJCWHJkiWsXLmSqKgorl27RkBAABUVFeh0OjIyMvDw8GDNmjWEhIQQGhrKrFmzSElJwcLCgpMnT1JVVUV7ezt79uxh6tSpxMbG6sf6+/uzb98+Jk+ezOHDh6mvr6e+vp5Dhw5hZ2dHQkKCfuzChQuJiIhgypQp7N27l7a2Nqqrqzlx4gTm5uakpKQwd+5cwsPDeeyxx0hKSsLd3Z2MjAx6enooLy+nvLwcrVZLZmYmM2fOJCoqSu/Pnj2b5ORkLC0tKS4uprq6mqtXr5Kbm8ukSZP46KOPePDBBwkNDSUgIID4+Hjs7e05ePAgDQ0N1NXVUVhYiK2tLYmJiQQHB7Nq1SqCg4MJCwvDxcWFnJwc2tvbqaqq4tSpU0ybNo3du3fj5+dHRESEvpYZM2awfft2QPkK6dmzZ7l+/TpZWVm4u7v3qtvHx4fNmzczZswYjh8/DoBWqyUvL4+JEyeydu1a/dh58+YRGxuLg4MD+fn5NDU1odFoOHLkCOPHjycpKYmgoCDCwsL0r5k2bRqnT5/GxMSEyspKSkpKMDMzIzU1FV9f3151e3h4kJ6ejomJCaWlpZw/f56uri527tyJm5sb0dHR+rEPPvggWVlZWFtbU1RURG1tLc3Nzezbtw8nJyfi4uL0YwMDA4mJicHJyYn9+/dz5coVLl++TFFRETY2NmzYsIH58+fzwQcf6D8jV1dXdu3aRVdXFxUVFZSWlmJqasrWrVvx9vYmMjJS73t6epKWloaZmRklJSVcuHCBzs5OsrOzWbBgAe+9955+rJ+fH0lJSdjY2HD06FE0Gg1NTU0cOHAAR0fHXnUvWLCAqKgonJ2dycvLo6WlhZqaGr766iucnJzYtGkTgYGBrF69Wv8aNzc3srKy6O7u5ty5c/qvEG/btg0vL69e15qXlxepqam4uLhw8eJFLl68SEdHB7t378bFxYWYmBj92Dlz5rBu3TpsbW0pKCigrq6OxsZG8vPzsbe3Jz4+Xj82KCiInJwc3N3dyc3NpbW1lUuXLlFcXNxnj7hR944dO9BqtZw5c4bTp0//Q4+4cV32t0fEx8djZ2fXZ484cOCA/jPvT4+44ffVI278Petvj7j5Wvt+j7CwsKC9vb3fPcLc3JwtW7b02SNOnjzJ2LFj+90jampqaG5u7rNHLFmyhNTUVBwcHCgszGfatCYefVTDhAmVtLQ4sXbtaDZt0vHhh8d44IGpxMUpPSI7O5uOjo4+e0ROTo7+M+pPj/D19WXjxo199ghfX1/S0tL63SNu7m3f7xHNzc2MGzeu3z3C1dW117V2c4/QaDS0tLT0u0ccO3aMsWPH9tkjFi1axJQpU4ZsrnBHojPytLa26gBda2vrgLoZGRkD6okp5kgzjaFGMYeHWVmp0y1frtONHavTmZnpdE8+qdMVF9+e+WMi5vCO3JIzkMHYT0JMMUeSaQw1ijk8zLvvhvh4+PJLiIqCU6eUrQoCA2H7dujuVkedYhp3ZMJkIGZmZmKKKaaKPDHFvFVsbJQHwSsrYe9e5de//jW4uMA770BDgzp6G4sAABJYSURBVDrqFNM4IxMmA7l06ZKYYoqpIk9MMX9oTEzgkUcgPx/OnoWlS2H1apg8GZ59Fj79VB11imlcUf1D37dKV1cX4eHhrFixAnNz8wFzx48fz/jx4wfME1PMkWYaQ41iDn/T3l6ZPL3yCtjawo4dEBkJGs0MbG3NcHdXJlhDXaeY6o+sMBnIjW+DiSmmmOrwxBTzdnLXXfCHP8Dnn8OuXdDY2MDjj4OrK0REKIcAq6FOMdUb2bjSQLRaLaampgPmiSnmSDONoUYxR7ZZXm5KfLzyYLiJCTz9tHIEy6xZ6qpzpJpqi6wwGcjq1avFFFNMFXliijnQpq8vpKTA5cvw1lvw4Yfg7Q333gt79oBWq446R6qptsgKk0QikUgkwPXrsHOnskXBiRPK7brXXlPOtRs3bqirkwx1ZIXJQIzlcEIxxVSraQw1iinmzRk9Gp58EoqL4eRJZS+nN99UDv1dvlzZrkANdY4UU3UZ2n0zbz+DtdN3bW3tgHpiijnSTGOoUUwxb5W6Op3uz3/W6eztdTrQ6R56SKf76COdTqv98WZ/MpJNtUVWmAzk0KFDYooppoo8McUcCvMnP4G//Q1qa2HLFqivh4ceAk9PWL8e2tvVUedwNNUWmTAZiLu7u5hiiqkiT0wxh9K0sID/+A/45BMoKlIeDn/9deV23RtvQHW1OuocTqbaIhMmA+ns7BRTTDFV5IkpphrMUaMgOBiyspRJ0ssvKytPbm7whz/cTUEBDORXqdT03u+0qbYMyoTp+vXrvPnmm3h7ezNmzBicnZ155plnqKur6zWuq6uL5cuXM2HCBMaMGcPSpUvRaDSDUVK/c+XKFTHFFFNFnphiqs2cMgXCw5VtCTZuhNraf+Gee8DHB5KTYSDmEGp973fCVFsGZcLU0dFBaWkpf/7znyktLeWDDz6gsrKSpUuX9hr3X//1X2RnZ/P+++9z7Ngx2tvbeeSRR9D2d/OLQYiPj4+YYoqpIk9MMdVqWlnBCy9Afn49hw7BtGnw4ovK7boVK5QJlRrqNDZTbRmUCdO4cePIz8/niSeeYMaMGcyfP5+EhAQ++eQTamtrAWhtbeXdd98lOjqa++67Dz8/P9LT0ykvL+fgwYODUVa/kpubK6aYYqrIE1NMtZsffpjLPfdATg5UVSnPPK1fr0ygnngCjh/v/+06Y3nvg2GqLXds48qDBw/ywAMP0NLSgo2NDYcPH+bee+/lm2++wdbWVj/Ox8eHZcuW8fbbb/fpdHV10dXVpf/11atXmTx58oBvXNnR0YGVldWAeWKKOdJMY6hRTDEH22xrg7Q0ZTPMykqYO1d5WPyXv4Qfcl68Mb/34RbTlStXrhzsP+Tbb7/lqaee4qc//SlPPvkkAMXFxeTm5rJq1apeY7Ozsxk9ejRLliwBICMjAysrK5KTk/H39+ehhx7ipZdeIjw8nPDwcGJjYwEICAigoqICnU5HRkYGHh4erFmzhpCQEEJDQ5k1axYpKSlYWFhw8uRJqqqqaG9vZ8+ePUydOpXY2Fj9WH9/f/793/+dgIAADh8+TH19PfX19Rw6dAg7OzsSEhL0YxcuXEhERARTpkxh7969tLW1UV1dzYkTJzA3NyclJYW5c+cSHh5OcXExR48exd3dnYyMDHp6eigvL6e8vBytVktmZiYzZ84kKipK78+ePZvk5GQsLS0pLi6murqaq1evkpuby6RJk3j88cd55plnCA0NJSAggPj4eOzt7Tl48CANDQ3U1dVRWFiIra0tiYmJBAcHs2rVKoKDgwkLC8PFxYWcnBza29upqqri1KlTpKWlcfbsWfz8/IiIiNDXMmPGDP0Bi2VlZZw9e5br16+TlZWFu7t7r7p9fHzYvHkzY8aM4fjx40RHRzNp0iTy8vKYOHEia9eu1Y+dN28esbGxODg4kJ+fT1NTExqNhiNHjjB+/HiSkpIICgoiLCxM/5pp06bx4osvMnnyZCorKykpKcHMzIzU1FR8fX171e3h4UF6ejomJiaUlpZy/vx5urq62LlzJ25ubkRHR+vHFhQUcObMGaytrSkqKqK2tpbm5mb27duHk5MTcXFx+rGBgYHExMTg5OTE/v37uXLlCpcvX6aoqAgbGxs2bNjA/Pnzefjhh/WfkaurK7t27aKrq4uKigpKS0sxNTVl69ateHt7ExkZqfc9PT1JS0vDzMyMkpISLly4QGdnJ9nZ2eTm5lJcXKwf6+fnR1JSEjY2Nhw9ehSNRkNTUxMHDhzA0dGxV90LFiwgKioKZ2dn8vLyaGlpoaamhhUrVuDv78+mTZsIDAxk9erV+te4ubmRlZVFd3c3586do6ysDIBt27bh5eXV61rz8vIiNTWVbdu20dPTw8WLF+no6GD37t24uLgQExOjHztnzhzWrVuHra0tBQUF1NXV0djYSH5+Pvb29sTHx+vHBgUFsWTJEhYtWkRubi6tra1cunSJ4uLiXj0iPDy8V907duxAq9Vy5swZTp8+/Q894sZ12d8eER8fj52dXZ894le/+pX+M+9Pj7jh99UjNm/ezOeff97vHnHztfb9HpGQkMCECRP63SPMzc3ZsmVLnz3i2Wefxd3dvd89oqamhubm5j57xNGjRykpKel3j8jOzqajo6PPHrF06VL9Z9SfHuHr68vGjRv77BG7du3i5MmTvXpEYmIMS5c6MX36fubN01FZOZrEREuSkrTs3/8x997rTHz8/6/7+z1i5cqVzJo1q989wtXVtde1dnOPeOONN7Cxsel3jzh27Bhjx47ts0fs37+f+++/f7CnE0OaAVlh2rZtGy+99JL+1x999BGLFi0ClAfAH3/8cWprayksLNSvAm3fvp3nnnuu12oRwP3338/06dPZsGFDn3/WnVphkkgkEolkMHL+PCQmKt+u6+5WVptefx0CAoa6Msk/y4A8w7R06VLKysr0P/7+/oAyWXriiSe4dOkS+fn5vSY0Tk5OdHd309zc3MtqaGjA0dHR4J9lbm6OjY1Nr5/BiLFsHS+mmGo1jaFGMcUcCnPmTGXCpNEo37I7fhzmzYOgIHj/feVMOzXUOdSm6jJYW4h3d3frli1bpvPy8tI1NDT8w/9vaWnRjR49WpeZman/vbq6Op2JiYlu3759P/jPGayjUfqqWUwxxRw6T0wxh6v53Xc63e7dOt099yjHr0ycqNOtWqXTNTSoq847baotg/Itue+++47HHnuMkpIStm3bhlar1d/j7+7uBpRv0j3//PO88cYbHDp0iE8//ZSnn34ab29v7rvvvsEoq1/54IMPxBRTTBV5Yoo5XE1TU3j0UTh0CE6fVo5eeecdmDwZli27wmefqaPOO22qLYMyYdJoNOzZsweNRoOvry8/+clP9D8ff/yxflxsbCzLli3jiSeeYOHChVhZWbF3715MTU0Ho6x+JWAQbiaLKeZIMo2hRjHFVJvp7Q2bNyu361auhM8/d8XXF/71XyE7GwZim0K1vne1x2wwUBcXF3Q/4FlyCwsLEhISSEhIGIwybitfffWVmGKKqSJPTDFHkmlnB//7v+DpeZCurn8jLg5+8QuYOhVeew2efx5u2pFnyOocTFNtkbPkDGQwdhsXU8yRZBpDjWKKqXYTvuPxx+HYMSgpgcWL4a23lF3EX3kFKir6LxrPe1dXZMJkIC4uLmKKKaaKPDHFHOnm3LmQmgq1tfDmm7B7N3h6wgMPwIcfQk+POuocrpEJk4EUFRWJKaaYKvLEFFNMJY6O8Je/QE0NpKdDSws88gjMmKHsKH71qjrqHG65Y0ejDFauXr3KuHHjBnzjym+++Ya77rprwDwxxRxppjHUKKaYw8HU6eDECWWytHMnWFrCc8/B8uXg5qaeOo09ssJkIOvXrxdTTDFV5Ikppph9Z9QoWLAAMjLgiy+UXcO3bwd3d1iyBPLzex/6ayzvXW2RFSaJRCKRSIZZOjuVCVRcnLK3k6ensuL0m9/AmDFDXZ1xRlaYDMRYto4XU0y1msZQo5hiDlfT0hJ++1soK4PCQuU4lt/9Tvl23aJFH1NTo446jSmywvRP3IFesRJTzJFkGkONYoo5kswvvoB162DzZh1tbaNYtgx+/3tYtEi5raeWOtUaWWEykC1btogpppgq8sQUU8zbi4sLrFkDb72VxLp1yh5OixeDnx+89x58++2PtwfjvastpitXrlw51EXcTrq6uggPD2fFihWYm5sPmGttbY29vf2AeWKKOdJMY6hRTDFHomlrO4aHHrLn1Vdh4UJl4hQVBRs3KlsSzJgB/V0sGow61RZZYTKQ8+fPiymmmCryxBRTzIE1R42C+++H3FyorISnnlK2JnBxgSefVLYqGMo61RbVrzBlZGRgZWVFcnIy/v7+hIeHExISwpIlS1i5ciVRUVFcu3aNgIAAKioq0Ol0ZGRk4OHhwZo1awgJCSE0NJRZs2aRkpKChYUFJ0+epKqqivb2dvbs2cPUqVOJjY3Vj/X39ycxMRF3d3cOHz5MfX099fX1HDp0CDs7OxISEvRjFy5cSEREBFOmTGHv3r20tbVRXV3NiRMnMDc3JyUlhblz5xIeHo6Liwvvv/8+7u7uZGRk0NPTQ3l5OeXl5Wi1WjIzM5k5cyZRUVF6f/bs2SQnJ2NpaUlxcTHV1dVcvXqV3NxcJk2aRGJiIj//+c8JDQ0lICCA+Ph47O3tOXjwIA0NDdTV1VFYWIitrS2JiYkEBwezatUqgoODCQsLw8XFhZycHNrb26mqquLUqVO0tbVx+PBh/Pz8iIiI0NcyY8YMtm/fDkBZWRlnz57l+vXrZGVl4e7u3qtuHx8fNm/ezJgxYzh+/DgVFRVYWlqSl5fHxIkTWbt2rX7svHnziI2NxcHBgfz8fJqamtBoNBw5coTx48eTlJREUFAQYWFh+tdMmzaNrKwsrK2tqayspKSkBDMzM1JTU/H19e1Vt4eHB+np6ZiYmFBaWsr58+fp6upi586duLm5ER0drR9rb29Pfn4+1tbWFBUVUVtbS3NzM/v27cPJyYm4uDj92MDAQGJiYnBycmL//v1cuXKFy5cvU1RUhI2NDRs2bGD+/PlERkbqPyNXV1d27dpFV1cXFRUVlJaWYmpqytatW/H29iYyMlLve3p6kpaWhpmZGSUlJVy4cIHOzk6ys7OxtLQkOztbP9bPz4+kpCRsbGw4evQoGo2GpqYmDhw4gKOjY6+6FyxYQFRUFM7OzuTl5dHS0kJNTQ0FBQVMnz6dTZs2ERgYyOrVq/WvcXNzIysri+7ubs6dO0dZWRkA27Ztw8vLq9e15uXlRWpqKu3t7dTX13Px4kU6OjrYvXs3Li4uxMTE6MfOmTOHdevWYWtrS0FBAXV1dTQ2NpKfn4+9vT3x8fH6sUFBQURHR+Pj40Nubi6tra1cunSJ4uLiPnvEjbp37NiBVqvlzJkznD59+h96xI3rsr89Ij4+Hjs7uz57RFJSkv4z70+PuOH31SMaGxspLi7ud4+4+Vr7fo+orq5m1KhR/e4R5ubmbNmypc8ekZ6ejoODQ797RE1NDc3NzX32CGdnZ/bs2dPvHpGdnU1HR0efPSI6Olr/GfWnR/j6+rJx48Y+e8SoUaPIycnpd4+4ue7v94ji4mImTpzY7x7h6ura61q7uUfk5+fz3Xff9eoR6elxrF4dwrVrkTz66Hy2bGkhIcGS9PQmGhtr0ekqKC4+xtixY/vsEdbW1nh7ew/ldGHwozPytLa26gBda2vrgLqnTp0aUE9MMUeaaQw1iimmmH1Hq9XpcnN1uvvv1+nGj9fp2tpu3zT2yC05Azl9+rSYYoqpIk9MMcW8c6aJCTz8MBw4AFVVMHbs7ZvGHtlWwEDq6upwdnYeME9MMUeaaQw1iimmmOo11RZZYTKQlJQUMcUUU0WemGKKObJMtUVWmCQSiUQikUhuEVlhMhA1bXEvppjGaBpDjWKKKaZ6TbVFVpgMpKura0A3whRTzJFmGkONYooppnpNtUVWmAwkLi5OTDHFVJEnpphijixTbVH9xpW3ymAdjeLk5MRdd901YJ6YYo400xhqFFNMMdVrqi1yS04ikUgkEonkFjH6CZNOp6OtrQ1ra2tGjRo11OVIJBKJRCIZhjH6CZNEIpFIJBLJYEce+pZIJBKJRCK5RWTCJJFIJBKJRHKLyIRJIpFIJBKJ5BaRCZNEIpFIJBLJLSITJolEIpFIJJJbRCZMEolEIpFIJLeITJgkEolEIpFIbhGZMEkkEolEIpHcIjJhkkgkEolEIrlFZMIkkUgkEolEcov8P+AuKu95umZ5AAAAAElFTkSuQmCC", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 13, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# h) gráfico da função velocidade\n", "\n", "plot(vy(t), (t, 0, t1), legend_label = '$v_y(t)$', axes_labels = ['$t(s)$','$v_y(m/s)$'], ymin = v_solo, ymax = -v_solo, gridlines = 'minor', figsize=(6, 5)) " ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "cb2c670e23df4b05be8f50870e89ba54", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Interactive function with 1 widget\n", " t: FloatSlider(value=1.1293,…" ] }, "execution_count": 16, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# i) gráfico vetor velocidade \n", "\n", "from sage.repl.ipython_kernel.interact import interact\n", "@interact\n", "def plot_a_function(t=(0.0,t1, 0.0001)):\n", " V = plot(vector([0, vy(t)]), ymin = v_solo, ymax = -v_solo, axes_labels = ['$v_x(m/s)$','$v_y(m/s)$'], gridlines = 'minor')\n", " show(V)\n", " show('t = ', t,'s', ' ------ ', ' vy = ',vy(t),'m/s', ' ', vy(t)*3,6,'km/h')" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": true } }, "source": [ "## LANÇAMENTO VERTICAL\n", "\n", "2) Uma pedra de massa 100g é lançada para cima com velocidade inicial de 20m/s. Considere $g = 9.8m/s²$ e desprezando a resistência do ar, determine:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ ], "source": [ "%display latex" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ ], "source": [ "# resetar variáveis\n", "\n", "reset()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "jupyter": { }, "scrolled": true }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "t" ] }, "execution_count": 19, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# criar variável tempo t\n", "\n", "var('t')" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ ], "source": [ "# DADOS INICIAIS\n", "# g\n", "g = -9.8\n", "\n", "# posição inicial\n", "y0 = 0\n", "\n", "#velocidade vy inicial\n", "vy0 = 20" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "-4.90000000000000*t^2 + 20*t" ] }, "execution_count": 22, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# a) função posição \n", "\n", "y(t) = 0 + vy0*t + g*t^2/2\n", "y(t)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "-9.80000000000000*t + 20" ] }, "execution_count": 23, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# b) velocidade é a derivada da função posição\n", "\n", "vy(t) = diff(y(t), t)\n", "vy(t)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "[t == (100/49)]" ] }, "execution_count": 24, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# c) tempo para chegar a altura máxima\n", "\n", "T = solve(vy(t) == 0 , t)\n", "T" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "2.04081632653061" ] }, "execution_count": 25, "metadata": { }, "output_type": "execute_result" } ], "source": [ "t_at_max = n(T[0].rhs())\n", "t_at_max" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "20.4081632653061" ] }, "execution_count": 26, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# d) altura máxima\n", "\n", "altura_max = y(t_at_max)\n", "altura_max" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 28, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# e) gráfico função posição em função do tempo até altura máxima\n", "\n", "plot(y(t), (t, 0, t_at_max), legend_label = '$y(t)$', axes_labels = ['$t(s)$','$y(m)$'], gridlines = 'minor', figsize=(6, 5)) " ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 29, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# f) gráfico função posição em função do tempo todo o movimento\n", "\n", "plot(y(t), (t, 0, 2*t_at_max), legend_label = '$v_y(t)$', axes_labels = ['$t(s)$','$y(m)$'], gridlines = 'minor', figsize=(6, 5)) " ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "2fced4b1dd67484f94bdaa82c39e7629", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Interactive function with 1 widget\n", " t: FloatSlider(value=2.0408,…" ] }, "execution_count": 30, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# g) gráfico vetor posição \n", "\n", "from sage.repl.ipython_kernel.interact import interact\n", "@interact\n", "def plot_a_function(t=(0.0,2*t_at_max, 0.0001)):\n", " P = plot(vector([0, y(t)]), ymin = -altura_max, ymax = altura_max, axes_labels = ['$x(m)$','$y(m)$'], gridlines = 'minor')\n", " show(P)\n", " show('t = ', t, 's', ' ------ ', ' P = ', y(t), 'm')" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 31, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# h) gráfico da função velocidade até altura máxima\n", "\n", "plot(vy(t), (t, 0, t_at_max), legend_label = '$v_y(t)$', axes_labels = ['$t(s)$','$v_y(m/s)$'], gridlines = 'minor', figsize=(6, 5)) " ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 32, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# i) gráfico da função velocidade todo o movimento\n", "\n", "plot(vy(t), (t, 0, 2*t_at_max), legend_label = '$v_y(t)$', axes_labels = ['$t(s)$','$v_y(m/s)$'], gridlines = 'minor', figsize=(6, 5)) " ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "49c9fbbbe6f747d0b52539f0c37564e4", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Interactive function with 1 widget\n", " t: FloatSlider(value=2.04, d…" ] }, "execution_count": 33, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# j) gráfico vetor velocidade\n", "\n", "from sage.repl.ipython_kernel.interact import interact\n", "@interact\n", "def plot_a_function(t=(0,2*t_at_max, 0.01)):\n", " V = plot(vector([0, vy(t)]), ymin = -vy0, ymax = vy0, axes_labels = ['$v_x(m)$','$v_y(m)$'], gridlines = 'minor')\n", " show(V)\n", " show('t = ', t,'s', ' ------ ', ' V = ',vy(t),'m/s')" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "## LANÇAMENTO HORIZONTAL\n", "\n", "3) Uma pedra de massa 100g é lançada horizotalmente com velocidade inicial de 20m/s do alto de uma ponte de 28m. Considere $g = 9.8m/s²$ e desprezando a resistência do ar, determine:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ ], "source": [ "%display latex" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ ], "source": [ "# resetar variáveis\n", "\n", "reset()" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false, "jupyter": { }, "scrolled": true }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "t" ] }, "execution_count": 36, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# criar variável tempo t\n", "\n", "var('t')" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ ], "source": [ "# DADOS INICIAIS\n", "# g\n", "g = -9.8\n", "\n", "# posição x inicial\n", "y0 = 28\n", "\n", "#velocidade vy inicial\n", "vy0 = 0\n", "\n", "# velocidade vx inicial\n", "vx0 = 20\n", "\n", "# posição y inicial \n", "x0 = 0" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "-4.90000000000000*t^2 + 28" ] }, "execution_count": 38, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# a) funcão posição Y\n", "\n", "y(t) = y0 + vy0*t + g*t^2/2.0\n", "y(t)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ ], "source": [ "# b) função posição X\n", "\n", "x(t) = x0 + vx0*t" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "-9.80000000000000*t" ] }, "execution_count": 40, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# c) velocidade Y\n", "\n", "vy(t) = diff(y(t), t)\n", "vy(t)" ] }, { "cell_type": "code", "execution_count": 76, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ ], "source": [ "# d) velocidade X\n", " # vx é constante, corresponde a vx0" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "[t == -2/7*sqrt(10)*sqrt(7), t == 2/7*sqrt(10)*sqrt(7)]" ] }, "execution_count": 41, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# e) tempo para chegar no solo\n", "\n", "T = solve(y(t) == 0 , t)\n", "T" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "2.39045721866879" ] }, "execution_count": 43, "metadata": { }, "output_type": "execute_result" } ], "source": [ "t_solo = n(T[1].rhs())\n", "t_solo" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "47.8091443733757" ] }, "execution_count": 44, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# f) alcance máximo\n", "\n", "alcance_max = x(t_solo)\n", "alcance_max" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 45, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# g) gráfico função posição Y em função do tempo \n", "\n", "plot(y(t), (t, 0, t_solo), legend_label = '$y(t)$', axes_labels = ['$t(s)$','$y(m)$'], gridlines = 'minor', figsize=(6, 5)) " ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 46, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# h) gráfico posição X durante todo o movimento\n", "\n", "plot(x(t), (t, 0, t_solo), legend_label = '$x(t)$', axes_labels = ['$t(s)$','$x(m)$'], gridlines = 'minor', figsize=(6, 5)) " ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 25 graphics primitives" ] }, "execution_count": 47, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# i) gráfico vetor posição\n", "P = vector([])\n", "\n", "for k in srange(0, t_solo, 0.1):\n", " P = plot(vector([x(k), y(k)]), color=Color(k,k/2,k*2.1)) + plot(P)\n", " \n", "show(P, gridlines = 'minor', axes_labels = ['$x(m)$','$y(m)$'])" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 49, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# j) gráfico da função velocidade até chegar ao solo\n", "\n", "plot(vy(t), (t, 0, t_solo), legend_label = '$v_y(t)$', axes_labels = ['$t(s)$','$v_y(m/s)$'], gridlines = 'minor', figsize = (6, 5)) " ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ ], "source": [ "# l) função módulo de V\n", "\n", "v(t) = sqrt((vy(t))^2 + vx0^2)" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "(20, -23.4264807429541, 30.8025972930855)" ] }, "execution_count": 52, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# m) velocidades máxima ao tocar o solo:\n", "\n", "# vx\n", "vx0\n", "\n", "# vy\n", "vy_max = vy(t_solo)\n", "\n", "# v\n", "v_max = v(t_solo)\n", "v_max\n", "\n", "#velocidades max\n", "vx0, vy_max, v_max" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 53, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# n) gráfico da função velocidade v da altura máxima até tocar o solo\n", "\n", "plot(v(t), (t, 0, t_solo), legend_label = '$v_y(t)$', axes_labels = ['$t(s)$','$v(m/s)$'], gridlines = 'minor', figsize=(6, 5)) " ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "b7cea68907d247e7a089d00a4bf68d62", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Interactive function with 1 widget\n", " t: FloatSlider(value=1.19, d…" ] }, "execution_count": 54, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# n) gráfico vetor velocidade \n", "\n", "from sage.repl.ipython_kernel.interact import interact\n", "@interact\n", "def plot_a_function(t=(0,t_solo, 0.01)):\n", " V = plot(vector([vx0, 0]), xmin = 0, xmax = vx0, ymin = vy_max, ymax = -vy_max, axes_labels = ['$v_x(m/s)$','$v_y(m/s)$'], gridlines = 'minor') + plot(vector([0, vy(t)]), color = 'black') + plot(vector([vx0, vy(t)]), color = 'red')\n", " show(V)\n", " show('t = ', t,'s',' --------','V = ',v(t),'m/s' ,' --------',' vy = ', vy(t),'m/s', ' -------- ', ' vx = ', vx0,'m/s')" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": true } }, "source": [ "## LANÇAMENTO OBLICO\n", "\n", "4) José mané chuta uma bola com velocidade de $20m/s$ e ângulo de 30º em relação ao solo. Considerando $g = 9.8m/s^2$ e desprezando a resistência do ar, determine:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ ], "source": [ "%display latex\n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ ], "source": [ "reset()\n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "jupyter": { }, "scrolled": true }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "t" ] }, "execution_count": 18, "metadata": { }, "output_type": "execute_result" } ], "source": [ "var('t')" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ ], "source": [ "# g\n", "g = 9.8\n", "\n", "# posição y inicial\n", "y0 = 0\n", "\n", "# posição x inicial \n", "x0 = 0\n", "\n", "# módulo velocidade Vi\n", "Vi = 20\n", "\n", "# angulo \n", "teta = pi/6" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "72.0000000000000" ] }, "execution_count": 20, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# velocidade km/h\n", "Vi*3.6" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "(17.3205080756888, 10.0000000000000)" ] }, "execution_count": 21, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# a) componentes da velocidade V, sendo 30º = pi/6\n", "\n", "vx0 = Vi*cos(teta).n()\n", "vy0 = Vi*sin(teta).n()\n", "\n", "vx0, vy0" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "-4.90000000000000*t^2 + 10.0000000000000*t" ] }, "execution_count": 22, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# b) funcão posição Y\n", "\n", "y(t) = y0 + vy0*t - g*t^2/2.0\n", "y(t)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "17.3205080756888*t" ] }, "execution_count": 23, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# c) função posição X\n", "\n", "x(t) = x0 + vx0*t\n", "x(t)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "-9.80000000000000*t + 10.0000000000000" ] }, "execution_count": 24, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# d) velocidade Y\n", "\n", "vy(t) = diff(y(t), t)\n", "vy(t)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ ], "source": [ "# e) velocidade X\n", "\n", " #vx é constante, corresponde a vx0" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "[t == (50/49)]" ] }, "execution_count": 26, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# f) tempo para chegar an altura máxima\n", "\n", "T = solve(vy(t) == 0 , t)\n", "T" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "1.02040816326531" ] }, "execution_count": 27, "metadata": { }, "output_type": "execute_result" } ], "source": [ "t_a_max = T[0].rhs().n()\n", "t_a_max" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "5.10204081632653" ] }, "execution_count": 28, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# g) altura máxima\n", "\n", "altura_max = y(t_a_max)\n", "altura_max" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "35.3479756646710" ] }, "execution_count": 29, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# h) alcance máximo\n", "\n", "alcance_max = x(2*t_a_max)\n", "alcance_max" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 30, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# i) gráfico função posição Y em função do tempo \n", "\n", "plot(y(t), (t, 0, 2*t_a_max), legend_label = '$y(t)$', axes_labels = ['$t(s)$','$y(m)$'], gridlines = 'minor', figsize=(6, 5)) " ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 31, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# j) gráfico posição X durante todo o movimento\n", "\n", "plot(x(t), (t, 0, 2*t_a_max), legend_label = '$x(t)$', axes_labels = ['$t(s)$','$x(m)$'], gridlines = 'minor', figsize=(6, 5)) " ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "point?" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 70 graphics primitives" ] }, "execution_count": 42, "metadata": { }, "output_type": "execute_result" } ], "source": [ "# gráfico y(x) x x(x)\n", "P = vector([])\n", "\n", "for k in srange(0, 2*t_a_max, 0.03):\n", " P = plot(point([x(k), y(k)])) + plot(P)\n", " \n", "show(P, gridlines = 'minor', axes_labels = ['$x(m)$','$y(m)$'])" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false, "jupyter": { } }, "outputs": [ { "data": { "image/png": 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