{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [ "remove_input" ] }, "outputs": [], "source": [ "import matplotlib\n", "#matplotlib.use('Agg')\n", "path_data = '../../../../data/'\n", "from datascience import *\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "import numpy as np\n", "import math\n", "import scipy.stats as stats\n", "plt.style.use('fivethirtyeight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Implementing the Classifier ###\n", "We are now ready to implement a $k$-nearest neighbor classifier based on multiple attributes. We have used only two attributes so far, for ease of visualization. But usually predictions will be based on many attributes. Here is an example that shows how multiple attributes can be better than pairs." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Banknote authentication\n", "\n", "This time we'll look at predicting whether a banknote (e.g., a \\$20 bill) is counterfeit or legitimate. Researchers have put together a data set for us, based on photographs of many individual banknotes: some counterfeit, some legitimate. They computed a few numbers from each image, using techniques that we won't worry about for this course. So, for each banknote, we know a few numbers that were computed from a photograph of it as well as its class (whether it is counterfeit or not). Let's load it into a table and take a look." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
WaveletVar | WaveletSkew | WaveletCurt | Entropy | Class | \n", "
---|---|---|---|---|
3.6216 | 8.6661 | -2.8073 | -0.44699 | 0 | \n", "
4.5459 | 8.1674 | -2.4586 | -1.4621 | 0 | \n", "
3.866 | -2.6383 | 1.9242 | 0.10645 | 0 | \n", "
3.4566 | 9.5228 | -4.0112 | -3.5944 | 0 | \n", "
0.32924 | -4.4552 | 4.5718 | -0.9888 | 0 | \n", "
4.3684 | 9.6718 | -3.9606 | -3.1625 | 0 | \n", "
3.5912 | 3.0129 | 0.72888 | 0.56421 | 0 | \n", "
2.0922 | -6.81 | 8.4636 | -0.60216 | 0 | \n", "
3.2032 | 5.7588 | -0.75345 | -0.61251 | 0 | \n", "
1.5356 | 9.1772 | -2.2718 | -0.73535 | 0 | \n", "
... (1362 rows omitted)
" ], "text/plain": [ "WaveletVar | WaveletSkew | WaveletCurt | Entropy | Class\n", "3.6216 | 8.6661 | -2.8073 | -0.44699 | 0\n", "4.5459 | 8.1674 | -2.4586 | -1.4621 | 0\n", "3.866 | -2.6383 | 1.9242 | 0.10645 | 0\n", "3.4566 | 9.5228 | -4.0112 | -3.5944 | 0\n", "0.32924 | -4.4552 | 4.5718 | -0.9888 | 0\n", "4.3684 | 9.6718 | -3.9606 | -3.1625 | 0\n", "3.5912 | 3.0129 | 0.72888 | 0.56421 | 0\n", "2.0922 | -6.81 | 8.4636 | -0.60216 | 0\n", "3.2032 | 5.7588 | -0.75345 | -0.61251 | 0\n", "1.5356 | 9.1772 | -2.2718 | -0.73535 | 0\n", "... (1362 rows omitted)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "banknotes = Table.read_table(path_data + 'banknote.csv')\n", "banknotes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at whether the first two numbers tell us anything about whether the banknote is counterfeit or not. Here's a scatterplot:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "color_table = Table().with_columns(\n", " 'Class', make_array(1, 0),\n", " 'Color', make_array('darkblue', 'gold')\n", ")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "banknotes = banknotes.join('Class', color_table)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Class | Alcohol | Malic Acid | Ash | Alcalinity of Ash | Magnesium | Total Phenols | Flavanoids | Nonflavanoid phenols | Proanthocyanins | Color Intensity | Hue | OD280/OD315 of diulted wines | Proline | \n", "
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 14.23 | 1.71 | 2.43 | 15.6 | 127 | 2.8 | 3.06 | 0.28 | 2.29 | 5.64 | 1.04 | 3.92 | 1065 | \n", "
1 | 13.2 | 1.78 | 2.14 | 11.2 | 100 | 2.65 | 2.76 | 0.26 | 1.28 | 4.38 | 1.05 | 3.4 | 1050 | \n", "
1 | 13.16 | 2.36 | 2.67 | 18.6 | 101 | 2.8 | 3.24 | 0.3 | 2.81 | 5.68 | 1.03 | 3.17 | 1185 | \n", "
1 | 14.37 | 1.95 | 2.5 | 16.8 | 113 | 3.85 | 3.49 | 0.24 | 2.18 | 7.8 | 0.86 | 3.45 | 1480 | \n", "
1 | 13.24 | 2.59 | 2.87 | 21 | 118 | 2.8 | 2.69 | 0.39 | 1.82 | 4.32 | 1.04 | 2.93 | 735 | \n", "
1 | 14.2 | 1.76 | 2.45 | 15.2 | 112 | 3.27 | 3.39 | 0.34 | 1.97 | 6.75 | 1.05 | 2.85 | 1450 | \n", "
1 | 14.39 | 1.87 | 2.45 | 14.6 | 96 | 2.5 | 2.52 | 0.3 | 1.98 | 5.25 | 1.02 | 3.58 | 1290 | \n", "
1 | 14.06 | 2.15 | 2.61 | 17.6 | 121 | 2.6 | 2.51 | 0.31 | 1.25 | 5.05 | 1.06 | 3.58 | 1295 | \n", "
1 | 14.83 | 1.64 | 2.17 | 14 | 97 | 2.8 | 2.98 | 0.29 | 1.98 | 5.2 | 1.08 | 2.85 | 1045 | \n", "
1 | 13.86 | 1.35 | 2.27 | 16 | 98 | 2.98 | 3.15 | 0.22 | 1.85 | 7.22 | 1.01 | 3.55 | 1045 | \n", "
... (168 rows omitted)
" ], "text/plain": [ "Class | Alcohol | Malic Acid | Ash | Alcalinity of Ash | Magnesium | Total Phenols | Flavanoids | Nonflavanoid phenols | Proanthocyanins | Color Intensity | Hue | OD280/OD315 of diulted wines | Proline\n", "1 | 14.23 | 1.71 | 2.43 | 15.6 | 127 | 2.8 | 3.06 | 0.28 | 2.29 | 5.64 | 1.04 | 3.92 | 1065\n", "1 | 13.2 | 1.78 | 2.14 | 11.2 | 100 | 2.65 | 2.76 | 0.26 | 1.28 | 4.38 | 1.05 | 3.4 | 1050\n", "1 | 13.16 | 2.36 | 2.67 | 18.6 | 101 | 2.8 | 3.24 | 0.3 | 2.81 | 5.68 | 1.03 | 3.17 | 1185\n", "1 | 14.37 | 1.95 | 2.5 | 16.8 | 113 | 3.85 | 3.49 | 0.24 | 2.18 | 7.8 | 0.86 | 3.45 | 1480\n", "1 | 13.24 | 2.59 | 2.87 | 21 | 118 | 2.8 | 2.69 | 0.39 | 1.82 | 4.32 | 1.04 | 2.93 | 735\n", "1 | 14.2 | 1.76 | 2.45 | 15.2 | 112 | 3.27 | 3.39 | 0.34 | 1.97 | 6.75 | 1.05 | 2.85 | 1450\n", "1 | 14.39 | 1.87 | 2.45 | 14.6 | 96 | 2.5 | 2.52 | 0.3 | 1.98 | 5.25 | 1.02 | 3.58 | 1290\n", "1 | 14.06 | 2.15 | 2.61 | 17.6 | 121 | 2.6 | 2.51 | 0.31 | 1.25 | 5.05 | 1.06 | 3.58 | 1295\n", "1 | 14.83 | 1.64 | 2.17 | 14 | 97 | 2.8 | 2.98 | 0.29 | 1.98 | 5.2 | 1.08 | 2.85 | 1045\n", "1 | 13.86 | 1.35 | 2.27 | 16 | 98 | 2.98 | 3.15 | 0.22 | 1.85 | 7.22 | 1.01 | 3.55 | 1045\n", "... (168 rows omitted)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wine" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first two wines are both in Class 1. To find the distance between them, we first need a table of just the attributes:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "wine_attributes = wine.drop('Class')" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "31.265012394048398" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "distance(np.array(wine_attributes.row(0)), np.array(wine_attributes.row(1)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The last wine in the table is of Class 0. Its distance from the first wine is:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "506.05936766351834" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "distance(np.array(wine_attributes.row(0)), np.array(wine_attributes.row(177)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That's quite a bit bigger! Let's do some visualization to see if Class 1 really looks different from Class 0. " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "wine_with_colors = wine.join('Class', color_table)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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NWbBgAXv37gVA0zTefPNNPvnkE1JSUmjSpAkvvfQSd999d7F17tixg6effpqDBw/StGlTXn755euOqzKpVAlNfHw8CxcuvO7xu+joaI8f4o4dO3Ly5EnefffdqyY01e0Hv6qc1ltW5HmrN3leUVbS0tJYvXo1L7/8skcyc4nVakXTNEaMGIGvry8rVqwA4Nlnn2XkyJGsXbsWRVEK3bdixQqeffZZ/vnPf9KjRw/WrFnDM888Q61atejbt6+73GuvvcakSZM8EplrzcXp1KkTS5cuBeB///sfr732Gm+88Qa33XYbX331FW+//bbHqdOzZ89m5syZvPXWW8TFxbFo0SIeeOABfvrpJ1q3bl2o/uzsbIYMGcIf//hHZs+eTXJyMi+88MI1/iYrt0qV0GzYsIEzZ854DDU5nU4mT57M7Nmz2b9/f4nrat++PV988UV5hCmEEKIKOX78OLqu07Rp02LLrFu3jl9//ZWdO3dSv359AObMmUNcXBzr1q2jW7duhe6ZNWsWQ4cO5bHHHgOgSZMm7Nq1i3feeccjoRk4cCAPPvigx73X+uDu4+Pj/vo///kPI0aMcNcxfvx44uPjOXr0qEcsTzzxBPfddx8AL730Eps2bWLWrFl88MEHhepfunQpNpuNf//73wQEBNC8eXOeeeYZxowZc9W4KrNKldCMHj2aAQMGeFwbNGgQgwYN8ujCK4m9e/cSHh5eluEJIYSognRdv2aZQ4cOERkZ6U5mABo0aEBkZCQHDx4sMqE5dOgQI0eO9LjWqVMnvvnmG49rcXFxhe5t1KhRCaOHw4cPF0qI2rdv705oMjMzSU5O5tZbby0Uy/fff19knYcOHaJFixYePVYdO3YscUyVkdcTmuzsbI4fPw64xvwSExPZs2cPISEhREVFERYW5hmg0Uh4eLhHV+ylDPL9998H4L333qNevXrExsZis9lYvHgxq1at4tNPP/XSUwkhhKisGjdujKIoN7w3WVHDTddT3t/fv1CZ6xlyKo3rjb0q83pCs3PnTvr37+9+PW3aNKZNm8bw4cOZPXt2iepITEz0eG2325k0aRJJSUn4+PgQGxvL4sWLZRmeKHP5BTbWbt6F3aHR47Y2BPgVv5eSEKJyCAkJoWfPnnz44YeMGTOm0Dya9PR0YmJiSE5O5sSJE+5emoSEBJKTk2nWrFmR9cbExLB161aP3pPNmzcXW/5K1zPk1LRpU3bu3MkDDzzgvrZjxw7310FBQURGRrJlyxa6du3qEUtxq4VjYmJYuHAhOTk57oTr559/vmbclZnXE5ouXbqQnp5e4vKXZnBfadWqVR6vn3zySZ588slSxybE1eQX2Hjm1Q84lZSCoigs/2ET//rbWIIC/Co6NAB27DvKF99uAGDEgO40j65/jTuuTtd1dF1HVYvef/NE4lnmLvkOu8NJn663cHvHVqVqT4jy9Oabb9K7d2+6d+/OSy+9RIsWLdB1nfj4eP71r3+xd+9e954006dPB2DixIm0adOm2C1A/vKXv/Dwww/Ttm1bevTowerVq1myZAnz58+/ZjzXM+Q0duxY/u///o+4uDhuu+02Vq5cyfbt27FarR6xTJs2jcaNG9O2bVsWLVrE5s2b3Su2fm/w4MG88sorPPHEE0ycOJEzZ84wY8aMEsdUGVWqOTRCVGarN+zkVNJ5fH0sAKRn5LB45TpGD+t7jTvL3+HfEpn23ufu7uW/v/0ZM17+M1GRtW6ovi+/38QX327A4XDSOrYRzz42GIPB4H4/PTObF9+Yh93hRFEU3p67DB+LiY5trv3JVIiK0KBBA9atW8eMGTOYPHkyycnJhIaG0rJlS95++20URWHhwoU899xz7lGErl278vrrrxc7bNOvXz9ef/11Zs6cyQsvvEBUVBQzZszwmBBcFgYNGkRCQgJTpkwhLy+Pfv368cgjj/D111+7y4wdO5bs7GwmT57MuXPniI6O5tNPP6VVq6I/aAQEBLBo0SLGjx9P165diY6O5u9//zvDhw8v09i9SUlPT7/2bClRJdxsyz69/bzLvtvIJ/9bjcVsAsCpafS8rS2P39/PK+1f7Xlnf7aSHzftcvem2B0O/tT7j9w/sOd1t3My6RxP/eM/mIzGi3XZGdS3CyMH9HCX+XHTLt6eu8yd3AHENW/E8+OGXXd7xZHv58opIyPDY7kwVJ2dgquTkSNH4nA4WLRoUUWH4lVFff9dIj004jJnLj4pc1Ac59ENARTUfBjddGOf8KujOzq3Y/kPm8nKyUNVFMwmI4P6dK7osACoVcOK3eHAcnEHUqfTSXjNkBuq6/jJM9jtTndCYzKaSDh1xqNMWKjnfyh2hwNrcOANtSeqvps9uShvubm5fPTRR9xxxx0YjUa++uorvv76a1n48juS0Ag3n/PzUG0nQDGg2PPwOfc+eXX+VtFhVRqB/r68PelxFq38CYfDyX133U6tmtZr3+gFA+7sxPY9hzhwzPUpuW3zxvT8Y9sbqqtZ47r4+Jjcr+0OBy2aes7HaRnTgC4dW7Lpl/1omkb9OuE8NOiOG38AIUSxFEVh9erVvPXWW+Tn59OoUSM++OADjwU2QhIacQXFkQrKxXkSioKiZYFmA1XOHbnEGuTPmBHFbyVeUXLy8nnykYHk59tQDSpRkWE3vFwzIiyUvzw0gP9+tRaHU+OWltEMuNNzx21FUXj2sftIOpuKzW6nbkQYRqOhmBqFEKXh6+t71VOyhYskNMJNNwSjODNBUUHX0Q0BoJiufaOoUB8v/Z5VP25D03XqRtZk2rOPlHrvids7tirRqqXa4XK6vRCicih6Paa4KRXUfBjNVAsdFc0YTH7NR+Am2pSpKjqZdI7lP2xGVVWMBgOnklL4aNE3175RCCGqGemhEW66MZj8yImg65LIVBEpqRnY7A7MJldPmslo5EJGdgVHJYQQ3ic9NKIwSWaqjOiGdbAG+bvPqrHbHdzaVvaCEeWrJGcjCVHWrvV9JwmNEFVM0tlUtu85TFpGFkEBfkwd/zCN6kUQFVmT+wf2oHfXWyo6RFGN+fj4kJubW9FhiJuMruukp6cXeS7WJTLkJEQlt33PYX7YsIOszAySUr5k14HjBAX4Uye8Bi/831BaN2vE9OceregwxU3CYrHgcDjIyMio6FDETSYwMBCjsfi0RRIaIcqIruvMXrCSXb8ew2BQeWjQndwaF1uqOjfvOMCMD5egqCo79h0hOyePAD9fsnPy8LGY+GjRd7wz+fFStXH2fBr5BXbqhNeQpdeiRK72KVmIiiIJjRBlZOnX8fwQv8M9QfdfH33Be6/8hRohQTdc57frfsZgMJKVnYPd7sCp6Tg1DaPBQEpqBk0bOUsV88yPl/PTlt04NY2oyDCmP/co/n4+176xjOi6zo+bdrH3UAJtmzei261tvNa2EKJ6kTk0QpSR/UdPupMZgOzcfI6dTCpVnSajEU3XMRgMKIqCQVUB16RtDZ32LW/87J/DvyWyeuNOjEYjFrOZpLMXmLf0+1LFe73mfP4t/57/FZt+2c+785Yzb8l3Xm1fCFF9SEJTkbQCjJk/YcxYDU6ZZFfV1asdhs1ud7/2tZhv+LTrS0YP64PPxcMw/XzM1KppJTQ4gJDgQJ5+ZCAPD+51w3WfT8vEqWnu10ajgYxM7y753rB9HyajCUVRMJmMrN+216vtCyGqDxlyqihaAb5nZqDYzwIKpqz15EVOBENARUcmbtADA+/gVFIKB4+dQlVV7h/Yg8haoaWqMyIslH+/8gQ7fz1KZnoqUXXrkZGdQ7uW0QT6+5aq7hbR9QkJCqDAZkdRFOwOR4l2By5Lv9/RuLQ7HAshbl6S0FQQY/YWVzKjWgBQtBzMaV/g9IlBN0WgWepfowZR2RiNBiY9eT8OhxODQS2zX85BAX50/UNrjhw5QnR04zKpEyA40J9Xn32YOZ9/g8Op0aNTG7p4OaHp260Di1asQwdUBe7ufrtX2xdCVB+S0FQYjUtzIQBw5mDK+AFjznZAxR7UHXvIgIoK7qan6zor1mxh569HqRESzOihffCxlOyQzqq0Uqhe7Vr8Y/xDFdb+0H5diW1Sj18PJ9CqWUNaNm1QYbEIIao2SWgqiCPgD5iyfkJxZgEKquM8mqmu+2RrU9ZG7MF93D04wrs+X/ETS1atx2QyYXf8RsKpM7zx4p/LfUhE0zSOnUgGoHH9SFS1bKe5ORxOjp9KxqCqNKoXWSmGeFo3a0jrZg0rOgwhRBUnCU1FUf3Ii5iIKeN7FN2BwWBF0bKuKKCB7gAkoakIW3cdwnTF+UgnTp8jPTObkODAcmvT4XDy0pvz2H/0JADNm9Tj1QmjyqzHx2a38/z0uRxJOI2iQOtmjZjy9AMYDFWnR0kIIYojq5wqksEfe+hAbDXuwx7Q6WICA2h2nJYGoPpVaHg3M6PR4HFuiEFVsZhLNuR0o75eu42Dx07h5+ODn48PB4+dYtWPW8us/qVfx/Nb4hn8fH3w9fFh76HfWLtlT5nVL4QQFUkSmkrCEXwHttAhOC0x2IO6U1BrrBwSWYH+PKwPJqOB7Nw8bHY799zZCV8fM+u27uE/n63k592Hy7zN1PRMj229jUYjqemZJb4/PTOHeUu+59MvVpOVk1fo/QsZ2Riv6I1RVQMX0rIKlRNCiKpIhpwqEUfArTgCbq3oMAQQ0yiK96b+heMnk6lVw0qdiJq8v3AV363fjkE18H38L4wY0IPBd3Upszbv6BzHNz9td/cMGVSVOzu3K9G96ZnZPDlltiuR0WHd1j28Pelxj6XdfW6/hXVb97jrt1iMdLu1dZnFL4QQFUl6aIQoRnCgP3EtmlAnoia6rrN+q2sTOFVVMZlMfB//S5m2FxVZi3888yDNm9SjeZN6/OOZB4mqXbKN+b74dgPZOfmYjEZMJiOpaVl8+9PPHmWaNKjNpL+OJLZJFC2a1mfahEeoVdNaps8ghBAVxesJzcaNGxk2bBixsbFYrVYWLFhQbNmnnnoKq9XKzJkzr1nvhg0b6Nq1K+Hh4bRp04a5c+eWZdiimtJ1nUUr1/HSG/N444MlZOcWHqpxU/Ti3ysjzRpF8fenH+DvTz9As0ZRpapLUQsPWbaKaciUpx9k8pP307BeRKnqF0KIysTrCU1OTg7Nmzdn+vTp+PoWv9Pp8uXL+eWXX4iMjLxmnQkJCQwZMoSOHTuyfv16xo8fz8SJE1m+fHlZhi6qofnL1vD5ip84eiKZLTsP8uLr8zwmA1+iKAo9OrXFbnfgcDpxOBz07dahAiIu2qC+XQgK9MVmd1BgsxNWI5i+XStPfEIIUd68PoemV69e9OrlOn9m3LhxRZY5efIkzz//PF9++SWDBw++Zp3z5s0jIiKCN954A4CYmBi2b9/OrFmzGDBANqcTxdu576j7QEmjwUDS2VQupGcVeUL2o0P70CK6PgeOnaRdy2jaxDbydrjFCg70553J41j141ZUVaVfjz949dRsIYSoaJVuUrDD4WD06NFMmDCBmJiYEt2zbds2evTo4XGtZ8+e/Pe//8Vut7v3ExHi98xmE7quuzeYMxoNV90R+NZ2sdzaLtZb4V2XoAA/ht/TvaLDEEKIClHpEppp06YRGhrKo48+WuJ7zp07R7du3TyuhYWF4XA4SE1NJSKi6LkCR44cKU2olVJ1fKarKe3z9u3cgnfnnyQjMweL2cTd3dqRdPpUGUVX9uTft3ori+eNjo4ug0iEqHoqVUITHx/PwoULiY+P90p71e0H33V4YfV6pqspi+eNjo6mY/s4Tp85T0hwADVDg8sourJXkf++mdm52Gx2aoQEee24BPl+FkJcj0qV0GzYsIEzZ854DDU5nU4mT57M7Nmz2b9/f5H31apVi5SUFI9rKSkpGI1GatSoUa4xi6rPz9dCdMM6FR1GpfXhf7/m+/gd6LpO4/qRvPLMQ+55R0IIUVlUqoRm9OjRhSbxDho0iEGDBvHQQ8WfCNyxY0dWrlzpcW3t2rXExcXJ/BkhSuHwb4msWrvNfezDkYTTzP9iDY8O7VPBkQkhhCevJzTZ2dkcP34ccJ0snJiYyJ49ewgJCSEqKoqwsDDPAI1GwsPDPbpix4wZA8D7778PwKhRo/jwww95/vnnGTVqFFu3bmMnSKsAACAASURBVGXhwoXMmTPHS08lRNWkaRrbdh8iOyePjm2bERTgeX5Y0tkLOJ2Xl7GbjCbOpaZ7O0whhLgmryc0O3fupH///u7X06ZNY9q0aQwfPpzZs2eXqI7ExESP1w0aNGDx4sW8+OKLzJ07l4iICF577TVZsi3EVWiaxqS3PmX3weMoKIQEr2HGS495zCNqFdOAAD8LTs21Esxut3NrXOVc5SWEuLl5PaHp0qUL6ekl/4S3d+/eQtdWrVpV6Frnzp1Zv359qWIrjmI/jyXlIxRnJroxiIKaf0Y3hZZLW0Jc4nQ6OfzbaQCalsMcn70HE9h14Dj+vq79anLzCvh46Q9MeOzy3k81QoKY9OT9vPnBEnbtP441OIDVG3fwh7bN8PO1lHlMQghxoyrVHJrKypIyB9WRCoriSm7Of0R+5LMVHZaoDnQnpozvUG3JOH2b4Qi4DRQFu93BC6/P5dBxV29ks8ZRPPKn4g/C/GXvEVZv2EFQoD8PDbqzRMmGzWGHK3ZFVhQFm91eqFzj+pE4HBqN69dGURQOHk1k5sdf8tzjQ2/ggYUQonxIQlMCijMTLi1VVRQUZ4Z3GtYdKI7zoFjQjSHeaVN4lSVlLoa8A6AaMeT/iuJIwx7Sj5U/buVIQhJ+F3tPDv+WyLqtvxLbrFmhOjbvOMCbHyzBaDTicDjZf+QE//rbWIxGw1XbbhXTkNrhNUlNz8Sgqmi6xr29bitULiMzh+y8fIwGV31Go4HklLQyeHohhCg7ctp2CeiGoMufZHUN3eCFvUq0PHyT38A36TV8k6ZivrCk/NsU3qXbMeQfBfXi5wrFiDF3NwBpGVkYjQY0TeP02fMknbnAieSUIqv5eu02jEZXHUajgYTEsyQknr1m8z4WMzNefoxWMfXRNCddbmlJ04Z1C5WzBgUQ4OfjPuPK7nAQGSYJthCicpGEpgQKwv6MZqqJjhnNFE5BzdHl3qb5wjJX74xqAsWAMWsjiu10ubcrvElB/90mdZde39mlHaqqcuDoSZLPppKWmcXPe45x8NjJQrUYDCraFUNHBlXFZCpZ5+uhY6fYd/gEiqKydsse/jbjYzRN8yhjMhl5buwQQq2B+FhMtGhSj7+OurfYOncfOM4zr37A06/8h69Wby5RHEIIUVqS0JSAbqpBfuRz5EVNJT/yWXRT+X86VbQsUK4cMnCgOKWbv1pRjDgCbwfdDlo+6Bq24LsBiIqsxaNDXIe4Bgf6E9ukHhaziUUrC098f3RobywmA3n5BeTlF3Bru1jq1Q4rVK4oX3y3EVVRUVUVi9nEgWOnSDxzvlC55tH1+c+rf+WTGc/yyoSH8fUpeo7OufPp/PPfn3MqKYWksxf4eOkPrN9WeGK/EEKUNZlDU5F0J6Benp9zBYdfHIa8Q67hCF0HNRjNXHlOdxZlw269C6dvSxR7EpqlMbrpciLSMCqChlHh+Pn6Aq49nNQivleiImsx6x9/Yce+I4RaA2kT26jExxMUVZ+q3vjnnF0HjpGXb8PXx7URn8loZPMv+7m9Y6sbrlMIIUpCEpqKoDuxnJ+Lmn8MRTFgC7wDR7DnKcnOgI7Y9AIMOTtQFCMFIX8Cg18xFYqqQtd19h85QVpGNq1jGxEU4IdmqQeWeoXKRjeoQ8umDdh/9BQGVUVVFR4Y2LPIeq1B/vS4re11xzNiQHemvLMAu8OB0+mkXcto6oTf+HEhdcNrol6RI9nsdsJlvo0QwgskoakApvSvMeQeuNj7omHOWIHTrzm6KdyjnCOwC47A4pfqiqohMzuXjxZ9S2Z2Linn0zmZnIKm64QEBfDa849Su5gEQlVVXnnmYdZs2smF9CwaRgbTIKrok+NvVPPo+rz50mjif/6VWqHB9LitbakOn2zetD53de/I6o070HSd5k3qcf+9RSdhQghRliShqQCqPfnyyhYA3e7ah+R3CY2o+mx2OxOnzSExOYWjCUmkpmcSEhxIq2YNybfZ+WjRt/ztryMBKLDZOXH6LH6+PtSNqAm4Vi31vv0WwHUac3mIiqzFiHtqlVl9j424ixH3dsdud2ANCvDa6dxCiJubJDRlQbdjSv8GxXEBR0BHNN/mVy3utDTCkH8QlIt//aqPa9hBVDsnEs9x+sx5jp9MJt9uRwcyc3I5diKJmEZR2B0OANIzc3j2nx+QnJKG0WDgjs5teeLB0h/dsfvAcX6I30GoNZCR9/bAYvbOYa0Bfr5eaUcIIS6RhKa0dA2fs7NQbacAA8a8vRTUGIHTv/3vyjlQHGnohgAcQT1RHekY8vejo2Kz9kM3ylEK1ZGPjxlVVbA7nBhVFYOiouiu3hiHw0Gvi70vsz/7ijPn0/AxmzAYDKzesJP+PTtRv86N95xs3XWAN95fiqqq2B1O9h5K4I0XRl9zw73rtfTreH7ashtFVRjarxudb2lRpvULIURJSEJTSoojBdV2EpRLn3wNGLM2eCQ0iv08Pudmuc6CUkzYrQOw1RhcdIWiWomKDKPbrW3Yf/QkTqdGUJAfAX4+hFoDee7xoXRsE8PJ0+f44ttNXMjIQlUVGtQJx2Ixk5WTW6q2V6zZiuHi7r5mk5FjJ5M4mXSORvUiy+LRAFi/bS///Wqte2O/t+d+Qb3aYdSrXXZDWEIIURKS0JSWYgRdgUvTBHQdBcU12TdtGWpBAoa8/a7dhlUTCjqm9K9w+LcHVQ73q84cDicFNjtPP/on2jZvxHvzV6CoKnXCazLpryMICQ4E4J15XxLo78uF9CzQ4cTps/zxlpY0LmXiYVBVdF13z2FRFaXMe2e27jroTpoAHHYnu/Yfl4RGCOF1ktCUkm4IxeHXGmPuTkBBVy3YQu7BnPYFxqyNriTGcQHVeQGnJdqV+OgOFC0PXRIa0HXUvIOojnM4fZt77MNSla36cSsLlq/F4XDSoG4tpjz9IN07tfVIMC7Jyy8grIYVFIUL6ZmoqsKUpx4odvO6knp4UC9efHMeuXkF6LrOrW2bERVZtn+/DeqEs+mX/ZhNrh5KRVVoGCWT24UQ3icJTWkpCraaD+HIuwXVcQGnb0t0UyjqhSWuYwsA3eCP4rgA2EE3gDHE1WMjMKd+jjFnq+tF+kryw0aj+cZUbFCllJqWycf/+wFVUVEUhaMnknl/4SqeeuRPRa74iW5Yh6StewgLDSYkOIC64TWoV4q5M5c0rBfBzL+PY+uuQ9QMDaJjm5gyX3E0qG9njvx2mt0Hj6MoCv16/IFWMQ3LtA0hhCgJSWjKgqKg+bXE4wQc1eLa4VdR0E2ROFHRTJHoahC2miNAkVMncGZjzN0BqmtXWXQdc/oq8qt4QnM+LZO8/AL8L+7wazIaSUkt/oT2vzw0AIvZxLETSYQEBxZ7TlJ6Vg7bdh+kbkRYsXvX/F7N0GDu7tHx+h+ihFRV5cUnhpNfYENVFXdPjRBCeJskNOWkIHTkxYnAGa6JwLUewxHYuaLDqlQU3QnouCcgKQp4poVVUu3wGlgDA7DZHSiKgs1up3l08cvyjUYD4x7oj8PhZMHyH5n58XLaxDbi7h4d3T0qv+w9wpSZi0ExYjEbuX9gTwb2/qO3HumafCzmig5BCHGTk4SmnOimGuTVfsm9VBu15PtyGDPXY8paB+jY/TvisPYpv0ArkG4IwmlpgCH/+MWDODUcAbdWdFilFujvy9/+OoLZn63CbnfQqlkDRgzocc37ps5ayO4DxzGbTPyy7zCp6Zk8NOhOAOYt+R5dhwB/H8C1VHrAnZ1Kde6SEEJUJ5LQlCfFeN2TXNX8Y5jTvnTvJGzO+B7NFInm36Y8IqxYikJBrbGYMr5Hsafg8GuH5l89DjGMaRTF25PGlrh8gc3OwaOn3EM2JqOJrbsOuhMap6Z5zH9xahoOpxOzJDRCCAFIQlPpGPIPXV4CDoCCMXc7Nr8Wl3cWrk4UI3brXRUdRYUzqCqKqqBruse1S9q1bMLxE6cA13EKrWIaFjtfJSc3H5vdLscOCCFuKtXwN2TV5jQ3wKTrrqTGmYXBdgrFmY6h4CT5tcagm2tXdIiiHBiNBgbc2YlFK9fhcGj4+ph44E+XD3UcPbQP9vwcUjIKqBMeysODexVZz/xla1i5eguarlG/TjhTJzws81uEEDcFSWgqGc2vOfagbhizNmOwJaMbrOjGGihaLpbz88mv/VxFhyhukNPp5OOlP3Dot0RqBAcy7sF7CPS/PLdqWP9udIqLJeH0WZo3qefam+YiRVG4849tiI6OLrb+k0nn+N+38VhMZlTFwPGTZ5i75DvG3d+fE4ln+fDzb3A4nXT7Q2v6dOtQrs8qhBDeJglNJWQPGYA9+C78El+6YvhJQdELKjIsUUqzF6xizcadmE0mjp1I5sxbn/DWy2M8hoXq1w2nft0b25ju7Pk07HYnlosjUSaTkZTUTDKzc3l5xscU2Fyrrg7/9g0Wi5nunarhvCwhxE3L6zMKN27cyLBhw4iNjcVqtbJgwQKP96dOnUqHDh2oXbs29evX55577mHr1q1XrTM+Ph6r1Vroz+HDh8vzUcqXakIzhYHudL3W7WgmGW6qyg4cOeme92I0GEg6m0pOXn6Z1R/doC7Bgf7oumsejt1hp0PraA4cPUFaRo47cTIZjWzY/muZtSuEEJWB13tocnJyaN68OcOHD2fs2MKrQKKjo3nzzTepX78+eXl5vPfeewwePJhffvmFWrWuvnvqli1bCAkJcb+uWbNmmcd/LWrefiwXloJuQzNHURD2yBUHV16f/FrjsJyfj6JloBkjsdUYVsbRihuRmZ3LidNnCQsNJiKs5Kek+1hMHkcfGI0GfMxlN7/FGuTP5CdHMmfRtzjsTv4Q14y+3Tpw/GQyRsPlzy4OhxNrkH+ZtSuEEJWB1xOaXr160auXa0LjuHHjCr0/dOhQj9evvvoq8+fPZ+/evfTs2bNQ+SuFhYVRo0bJdlAtF1qeKwHB1atiyD+E+cJSbDWG31h9Bn8Kwku+9LfCOXMxp3+FouVjD+yK5lP9tsA//Fsi/3h3AWnpWfj4mBnWrxuD+nZm6dcb+O1UMm2aN6b37e2LXF30xIMDmPLuZ6RnZuNjMfPQoDvL/LDImEZRvPHCnz2uNa5fm15d27Nm4040p0ZU7Vo8cl/vMm1XCCEqWqWeQ2Oz2fjkk08ICgqiVatr70/SrVs3bDYbMTExTJgwgdtvv90LUQK6jil9BcbsLa6TtU210Y2BoBhR7Ge9E0MxcSmOVNeXxhoXd+ItJ1oBvmfeRHFmACqGvH3k13oczadxiatQbElYUheiaPk4zVHYao6sdEvV31/wNTabgwB/PwD+9+0GjiSc5uc9hzGbTGzbc4iz5y/w0KDCq5Aa1ovgP6/+lTMpaYRaAwkK8Ltme/kFNs6lprtP5r5R4+7vz5C7bievwEZkWGiZJ1JCCFHRKtdvi4u+/fZbHn30UXJzc4mIiGDZsmVXHW6KiIjgrbfeol27dthsNhYtWsSAAQNYtWoVt912W7nHa8zeiCnrJ0BBQUOxJ+I0NAEUdGPpDxm8IbqGJeUDDHmHAR2nb1MKwsaU2xlSasERFEfK5R2RdTBl/khBSRMa3YHPufdRtFxQFIy5uyDV5Dr3qhKxOx0evS8Op5Od+45eMTfGyMbtB4pMaMB1RECDEk76PXYiiX+8u4DM7Fx8LWbu7nr1VU7XUjM0+IbvFUKIyq5SJjRdunQhPj6e1NRUPvnkEx5++GF++OEHIiIiiiwfHR3t8R99x44dOXnyJO++++5VE5ojR46USby1nZvww7UCSdVr4MNZCnLSyVaiScqPQ08rm3YuUXQHCnY0fAr1ulx6pmBtJ7W0HegX5+8ouTs5l7aUDDWuTGO5xFc7Q5SWh6ZcPItJ18jOzeRMRsme3ahn0NB5Fl253HNgyzvAyWv83ZXVv2FJRdUK5tDRE5iMRhxOJ3XDQ0m5kInzig3xjKpeJnFNe/8LzqdmoCgKdpuNJd9uoUOrJjfVZnne/vetaGXxvKVJeoWoyiplQuPv70+jRo1o1KgRHTp0oF27dnz66adMnDixxHW0b9+eL7744qplyuoH35TeHFPGmYvHFfiDFoIeMQE/Sx2alEkLlxkz1mLK/A5Fd6KZIsgP/z9QXef7HDlyxP1Mpgv7MGUHXjwjCdCd1A0wUiu0nP6z05tgPnfQ1SOkgG4IQQ1/hEBTyLXvBdeQ1elQFBzueH18ooiuVXy8Vz6vt0xo0oRGDeqz+8AxaoYG8+dhfflq9RYWrfwJp1PHbDIweni/MonLbPElIMDpfp2TnU29+g1umo3yKuLftyLdbM8rRFmrlAnN72mahs1mu6579u7dS3j4je3ncb3swX1RbUkY8o+hKwr24N7oljpl3o7iSMOcsco1bKQoqPbTrknHNe8vVNbhfwum7I2gX+o5ULD7l+NmaopCQa1xqHm/omg5OH1bgeE6VtKoFgpCh2JJW4Ki29BM4RTUGFl+8d4gRVEY1Lczg/pePjl9aL+uxDVvzLGTybRq1pC6EWWzui6mUV3Wb9uL2WTC4XQSHma9aZIZIYS4Xl5PaLKzszl+/DjgSlQSExPZs2cPISEhBAcH8+6779KnTx/Cw8NJTU3lww8/JCkpiXvvvdddx5gxYwB4//33AXjvvfeoV68esbGx2Gw2Fi9ezKpVq/j000+981CKgYJaj4FuB9TLvSJl3YwzA7QCMFycp6IYUZzpRZbVLVHk1xyFOfMHAGxBd6BbosolrssBqmh+N364pObfhjy/1qDbQLWUYWDlr2mjujRtVNf9OjUtk4PHTlE3ouYNb5T3l4cG4Odr4WhCEjVDgujzxxZlFa4QQlQ7Xk9odu7cSf/+/d2vp02bxrRp0xg+fDgzZszgwIEDfPbZZ1y4cIHQ0FDi4uL4+uuvadmypfuexMREjzrtdjuTJk0iKSkJHx8fYmNjWbx4sXt5uNfc4H4zAIr9HOb0laBr2IJ7F5l8aKZaYAi8mDiB4jiHqiuYL3yBLaR/4fJ+Lcj3q2K/BBUFlKqVzPze7gPHmfbe52Tn5mMyGhjctwsj7+1x3fUYjQbGjLjb/fpmm08ihBDXQ0lPT9evXUyUJ8Wehu+Z10G/OH9Egbzwp4s8iFIpOInlwmLUguMozgx0Ux3Q7Th9GrMvs/dNNQZfWeccPPWP/5B0NtU9eVdR4JMZz2Ixlyzh3bLzAB8v/QG73UHLZg148uF7UVW10j5veZHnFUJcD68ffSAKM+T8DHr+xd4JxbWvTdb6IsvqlnrkR05AM0ehm+u4znpSTRgKTqDKWU+VgtPp9FiJpOs6NrujRPemZWTx9txlpGVkk52bz/qte/nsyx/LK1QhhKg2JKEpQ2rOLnySXsMnaTrGzJL/EtINAVdM3gVwuq5djWLwuEdXVHRks7TK4NZ2sdgdrmFBm91Ok/q1CfDzKdG9iWfOk5Wd635tNpk4mnC6XOIUQojqpEqscqoKFFsyPqmfuTeuM6evRDOEovm3vea9zoCOaDlbUPN/A3R0cx3sQXde9R6bdQCW83NdG9FhdK2syi/lP6czB1NWPKBgD+oC6rV3shWFjbinOyFBAezYd5SIsBAeGnRnifeOiQwLxe+K5MdmtxNVu4I2ZxRCiCpEEpoyYsjb75oDo1xaVmvAmLcHWwkSGhQj+eFPouYdAT0fzbc5qFdfnqv5xpAf+SJqQQKaORzdFAEppZg06szGN/l1FC0LAGPOFvIin5Wk5gYoisJd3TtyV/eO131vzdBgxgy/m8++XI3d4aRF0yaMGuzlye1CCFEFSUJTRjTz7/ad0R1opsKTeoujOLOxpC9DcaahK2YKQoeh+bW86j26MRinsc2NhFuIKfNHFC3bvVJLcaRhzNyAwyq/TL3tjs5x3NE5zuNkbiGEEFcnc2jKiObbDEdgF7g4rcXp1wJHUMmX6lpSP3MfJKnoNnxS/3t51ZNX/G6xm+I6l6qqy8rJ480PljLprU9YuWZrRYdzXSSZEUKIkpMemjJkCx2Ezdof0NzHEZSYM8vz4Ei9ALRcMASVaYzFsQf1wJizHUXLcTVvCMIe6KXTysuJw+HkuelzOHs+HaPBwL5DCdgdDgb2/mO5t52emcPxk8lEhIVQO7xGubf3exfSM3ll5n9JSU0nKMCP58YOueEN/oQQoiqQhKasXWPui5uuYcr4HtV2GqdPEzRjBKrjrGvIR9ddq5zUa6x0KkuGQPIiJ2LKXAuKgj2wBxiq9vyZM+fTSD53wX0StslkYvPOA+We0Px6OIGp//4vmZm5+FhMDO3fjSF3ezc5fP39JSQmp6CqKufTMvnne5/z/j+f9GoMQgjhTcUmNCEhISXu8lYUhdTU1DIL6mZgPv8Jxtw9rj1k8vbhCLwNp29rVNtpdIMfBTXu9+yx8QZDIPaQe7zbZjny97VgNFxeyq7peok3tyuNOYu+xenQCPB3HVGx7NuN3Nurkzux8obzaZmoquv7R1EUMrJycDicGI2ytF8IUT0Vm9BMnDhRxvDLi65hyD8M6sVfcKoJQ95+8upMrti4qpmQ4ED69fwDy7/fhM3uoGZoMI+P7Fdu7e3Yd5QN2/dx/EQyZrOR5HNprnZDgiiwObya0ISFBpOemYNBVdF1nRBroCQzQohqrdiE5oUXXvBmHDcZBUVRQXdece13v2x0HWPGdxjz9gIqttA/oVkaejPIauGhQXdyZ+d2pGVk06BuOP4l3ODuen3z0898+Pk3GAwGklMuXBzqMqIDuXkFHE04TVyLJuXSdlGef3wor876L2fPpxEU4MfEsUO81rYQQlSE655Dk52dTXp6OlarlYAAL87xqE4UBVtgD8zpqwDX3jW24N4eRYzZGzBnfg+KEXQdy7n3yav9otcmCVcntcNrlPvE3G/W/YzJ6PpxCq8ZwumzqQT4+eLjYyYqMowvvt3g1YQmONCf118Y7bX2hBCiopU4oVmzZg2vvPIKe/fude+P0aZNG/72t7/RvXv38oyxWnIE98TpE4tqP4Vmbohu9twN1pC335XMgGsJtZaNajuJ5nv1vWlExVCvGJ5VFNeRBdEN62IwuIZ8nJrOjDn/49z5dKIb1Obhwb1kCEgIIcpQiWadrlmzhiFDhpCTk8Ozzz7LjBkzmDBhAtnZ2dx3332sXbu2vOOslnRLbZwBfyiUzADohhDQ7VdcMaEba3ovOHFd/tSnM06nE7vdgaqqtIiuh91hx2Z3oCgK5y9ksHH7ryQknmXV2p+Z+enyig5ZCCGqlRL10EyfPp0ePXqwaNEi98oJgOeee46hQ4cybdo06aUpATX3V0zZG0Ax47DEYszf7RpuChmIbrR6lLWF3ItqT0S1JQEq9qCeruMNRKV0e8dW1Amvwbbdh2hQN5yObWJYu3k359My6dSuGc9Nn+sekjKbjBw8eqqCIxZCiOqlRAnNvn37+Pjjjz2SGQBVVXn00UcZNWpUuQRXlRkz12LKXAfoOP3jcFia4nN+ruuUbEcGprRlaD5NAfApOO6aH6P6Xq5ANZMf/jSKloWumK9/oz7hdY3r16Zx/cvHXdzRuR0Auq5jNhkpsDncry3m8t8C6qcte1iw/EecTietmzXiyVH3yspFIUS1VaIhJ7PZTFZWVpHvZWdnYzaXcDO5m4RakIA5bQWKnoui52HMWo85bTGX/rpVZwaKZkdxZoOiojjTMeQVcbCkoqAbgiSZqeIUReHhwb1QVYX8ggIsZhPjHizf/X5SUtP596dfkZmVS05uAeu37eHzFT+Va5tCCFGRSvQxsXPnzrz66qvccsstNGjQwH391KlTTJ8+nS5dupRXfFWSmn8ElCvPRjKgODMBBTCgo6KAq7cGUFDQDf7eD1R4TY/b2tK+VTQX0rMIrxmCn6+lXNv7LfEMefk29zJ1k9HE4d+SyrVNIYSoSCVKaKZMmULv3r3p0KEDt9xyCxEREZw9e5bt27cTHBzMlClTyjvOKkWzNMKVvFyk27Fb+2PK3ohiT0E3hqKrBnQU0Apw+LW+eE/FUWxJmLK3oBmsOIJuv7zCSpSZ4EB/ggPLN3FV8w5gzPuVhsE18bVc3sjP7rDTMErOchJCVF8l+q3VpEkTNm7cyKxZs9i8eTO7d+8mJCSEsWPHMm7cOCIiZLLqlTSfxtiC+2DKigc0nAG34AjqgSOwM2rBb6D4opnCUW2/geKHZqnnWutbQdT84/icmw1ooGsY8/aQH/5X7x+9IErFmLkWc/oKQKW+4uTx/vWZv9aJw+mkXcvGjBwgE/eFENVXiT+GR0REMHXq1PKMpVpxBPfCEdwLdP1ysqJY0HybuctovrEVFJ0nc8a3ri8UAygG1ILjqPbTaOYoANT8wxcP0YxFN0vyWlmZsjZcsXeRyt2tkunR95+uIU6ZDCyEqOZkXKG8VYFfJHqhEC9fMF/4H8as+IuXvya/xgNo/q29FltVkpaRxezPVpKbX0Dn9i3o062DlyP4/T/k5cMphRCiuitxQrNw4UL+97//kZiYSH5+vsd7iqKwa9euMg9OeIc9+C4M+f92nS2lO9EsjdFMdUArwJi9FdTLq9jMmd+Qf42ERrElozpS0Sz1XKu0qqj0zGwO/5ZIeM1Q6tcpvPnhlQpsdiZOm0N6ZiYG8tnz668cOHqKwXd3ISoyrFRxZOfmceDoSdJTz9OkSZNiExR7YGfM6V/hSmw0nP4dQTFgs9v59fAJDKpKi6b1MRhkh2IhRPVTooTm9ddfZ9q0acTGxtKqVStZpl3NaJYG5EWMx5izDd1gxRH4R9f8GV0DdDwnOOvFVQOAKW0lpsw1gANd9acg7DE0n4qd8HwjDhw9yT/eXUBWdh4mk4E/9fkjDwy8o9jyJ0+f48y5FALV02TlFHDotINjJxKJ/3kv9919O8PvubH5K+fOpzNx+hxSLmRQUJDP7qPJPDN6UJFJjSOoG5opEmPefpyWBjj948gvsDFx2hyOnUxGUaB5k/r889lRcuyCEKLaKdGsdPRAtQAAIABJREFUz/nz5zN27Fg2bdrEnDlzeO+99wr9KamNGzcybNgwYmNjsVqtLFiwwOP9qVOn0qFDB2rXrk39+vW555572Lp16zXr3bBhA127diU8PJw2bdowd+7cEsckQDdHYg8ZgCOo6+V5GKovTp9o0OyuREZz4AjoWHwlWgGmrPWgmkD1RdGdmNOWlVPAdiKdy/A9/Xd8kqahFiSUafVzPv8Gp1PD388Hs8nEyjXbyMnNL7Z8YIAvFlJBd3LinIam6fgYHZgNdr76YTM2u73Ye6/mw8+/ISc333XQpdnMhm37OHH6XLHlNd8YbKEDcfrHAbD063hOJacQ4OeLv68vh46fYvXGnTcUixBCVGYlSmjS0tLo06dPmTSYk5ND8+bNmT59Or6+voXej46O5s0332TTpk18++231K9fn8GDB3PuXPH/iSckJDBkyBA6duzI+vXrGT9+PBMnTmT5cjkvp7QKwkZjC+6Lw68l+TUfxBHUo/jCug3QLr9WFMBZLnGZU5cQoB9H0XJRHRewpMwBzVZm9Ts13aMXRNO0qyYlEWGh9OtUE7tDx+bQMZkUGoQbACdOXXfvEny9bHa7xw7dTl3j/9u78/CoyrPx49/nnDMzmawTQkhYRRGRxQVFqigBF1KXKq4sldYqVCz2bW2riH1bW9ta9LXWLi4/69ZaUUFFpWhxRUWQqi0FV4wiSkAghOzJzJlzzvP7Y2IgkoQsM5lMuD/XlUvPfp8kMDfPcj8N4Ui7r6+qrcPaq4vJMEyqauo6FYsQQvRk7UpoTjzxRN599924PLC4uJjrr7+eqVOn7rOUAsD06dOZNGkSQ4cOZeTIkdx4443U1NTwzjvvtHrPBx54gMLCQm655RZGjBjBJZdcwsyZM7n99tvjEvMBTRk4oWLsvpfgZRzd9rlGJp5/EOjGD2/t4AQTM4DYiH6BbixMGFuNvA7lVsbt/sePPbwpgYk6DgcPLiSUndnmNZdd/E3+8sO+zDs7m8MH+wn4A9hegEMP6k9mejuqPXsNKKeyWbfeaScdg+PGvp+u5zGgXx6HDOnf7vf4xslfwzAUWms8rQmm+Tl1wn5+jkIIkYJaHUPjeXv+pb1w4UJmzZpFnz59KC4uJjc3d5/zW0pOusq2bf72t7+RnZ3NEUcc0ep5b775Jqec0rzl4NRTT+WRRx4hGo3i8/lauVLElVKE+83DX7EM5ZbjBkfhZCWmirS2cmODmL/cVmloMydu959x9mSyM9N5+50SCvJCfOei4v3OFvLSR5N3+OVcPXA1h64u5+0tBfQv6M8lF5y232utyhX4q18GXDxfAeGC/wEjyMTjxmCaBi+t/i/h+lquvXIWAX/7f58PGlTAb37yHZY88xqGoZh13in07RO/75MQQvQUrSY0eXl5zf4S1lpz5ZVXtniuUory8vK4BbVixQpmz55NfX09hYWFPPnkk/Tr1/osk507dzJ58uRm+/Lz83Ech/Ly8p5d+O/L1ozeUpnX8GPnXZjwx0TyZhIu/5x0wqD8RPpcBEZ8lxM48+TxnHlyG2OGWuClj8ZOH82Z58OZ7bxGRXfhr36+8XfAxIhux7/7Cey+swCYcMwoJhwzipKSErIz0zv2EsDwgwfyv9+f2eHrhBAilbT6KTp//vyk1a+YOHEiq1atory8nL/97W985zvf4YUXXoh7YlJS0sKCkN2or/cyOV6sK61WHcoO48wu161J9jt1K/NiShu82IysrQCp+e5p3haGeFV4ak+3VEP9Z2yt2Pd9DqifL/K+nTF8+PA4RCJE6mk1obnuuuu6M45mMjIyOOSQQzjkkEM47rjjOOaYY3jwwQeZP39+i+f369ePsrKyZvvKysqwLIu8vLxWn5PMP/hG/fuklX0ARuxf3Jn6c/qEduJkn9Tpe5aUlBxQf5mVlJQw/LARyQ6j69yBBLe9FBtUrRR4UXyh40nPaf6zPCB/vvK+Qoh26nA/R21tLZWVlYRCITIz2x4kGS+e52Hbrc9gGT9+PMuXL2+2b+XKlYwdO7Zbx89YVS/hq3kV0LjBo7D7XNBqi4tpf/6VYyaGvRnofEIj4mPr9l3cdNdiKmvq6Jubw8//ZyZ9QgksEGim01DwPQK7HwcdxQ2Obns2mRBCiH20eyTvSy+9xOTJkznooIM48sgjOeiggzjllFNYuXJlhx5YW1vLhg0b2LBhA57nUVpayoYNG9iyZQvV1dX85je/4e2332bLli3897//5corr2Tbtm2ce+65TfeYO3cuc+fObdq+9NJL+eKLL1iwYAEbN27kwQcf5OGHH+b73/9+h2LrCiOyGX/lcpQOo3QEq3Y1Vu0brZ7vBkfS7NuvXZxg6wOfRff57R2PsmNXJbbtUPpFGb+9c3HCn6n9gwgXXkW4/zVEQ13vehRCiANNuxKal156iWnTplFXV8c111zDrbfeytVXX01tbS0XXXRRh5KadevWUVRURFFREQ0NDSxcuJCioiJ++9vfYlkWH3zwAbNmzeLYY49lxowZ7N69m2effZYxY8Y03aO0tJTS0tKm7aFDh7JkyRLWrFnDxIkT+d3vfsfNN9/M1KlTO/Ct6Boj/AmxqrqNlIURab0/3AschJ17IZ6ZgzaysUNn4mUclfhARZu01lRU1TSNHzMMg92V1UmOSgghxP6oysrKtmvZA1OmTCEUCrF48eJm07M9z2P69OlUVVXx/PPPJzTQns6IbCZt+x9jVXIBPAe7z4U4WRO6LYYO9cHrKL6ql1BuDdGsE9H+AYkNLgESNebgyp/fTtnuKpRSeJ7HQYMK+N1Pvxv353TUgTbGQt5XCNER7Wqheffdd5kzZ84+tWYMw2D27NltFr07UHiBodihb8TqoagATuYEnMwT9jnPqH+XtC9uJe2L32HVrk1CpIB2SNv+R3xVz2HV/Yvg9lsxGj5MTiw90E+vnEFhfi5+v8XgAfn8dN70ZIckhBBiP9o1KNjv91NTU9PisdraWlmsspGTcypOzqn7HvBszLo3MaJle9Y6AvzlS/DMHLzgyG6N04h8jmF/BiqIYW9BuTWkb70eO3QOdt7FB+z4jYgdZeUb67GjDjdecylZGfsuzSGEEKJnaldCc9JJJ3HjjTcybtw4hg4d2rR/y5Yt3HTTTUycmJhqsL2CZxPc+ivM8AcotwGUjg0IVhYoE6vu39jdnNCAiq2f7Vag3Gpiq2krrLq3cdMOx80c183xJJ8djXL1jX/hs207USiefG41f7j+CnKyMpIdmhBCiHZoV5fTDTfcQHV1NccddxxnnHEGl156KWeeeSbHHnssVVVV3HDDDYmOM2VZVS9h1f8HpW1QOraYYvgzlFMFTi2er/3r8sSLFzgIN3Aoyq0FNCiFZxWAMjGiW7s9np7g5TXr+WzbToKBAGkBP9W19Tyy7JVkhyWEEKKd2pXQHHrooaxevZq5c+di2zbr168nEolwxRVXsGrVKoYNG5boOFOWES6hafaTstAYGG45hv05hlvW2EKSANrBX/EkgZ13Y1W/3GzBQ5RBuOBKIqFz8aw83MAhYMaq1LrpiVlMsqeLOs6X7VYAGEoRdTq3QrYQQoju1+7CeoWFhfzmN79JZCy9kps5Dqpf2JNQKIVnFuIF+gMWvto3iIbOAKMdqzF3QGDnXzDDJWD4MBs+xHCrsXP31PJBWUT7TkenDcGqXgVootmn4AUO3iv4egxnJ9rMRVu9e0HDk084iidXrKaqth5DKXyWybSzipIdlhBCiHZqV0Lz8ccfs337dk46ad8qtqtXr6awsFBaaVrhZp6AnfN1rLo1oD0gE+0ftGfgrfZAR4E4JjSejWlv3jOF3PBh1r8Heyc0jZzME1qejRX+mEDZfbFuKTOIHToPJ2vf83qLzPQgt11/BY/+4xUcx+WCM06ioO++q8oLIYTomdqV0Fx33XWMGDGixYTmueeeY+PGjSxenPhqqj2edvCXP4ppf442gkTyLkb7+hEpuBLbuRC0h1n/Lv7qFYAF2sHzHwRGnJeQUCYaA4XXGJdGK7PFU62a17FqXgc0TvbJOJnHA+Df/RhKO2DGZvr4K5fHjvXiGVA5WRnM/eZZyQ5DCCFEJ7RrDM26deuYMKHlAnETJkzgP//5T1yDSlX+8iVYdf9GuZUY9jbSdt4J2gGl0L5CtH8ATqgYO/ci3MBwnMyTCBfMi3+SoEyi2VNiz/YaQCns3HP2Oc1o2Ih/91IMdzeGW4F/92ONFY9B6WjzuLQDuPGNUwghhIiTdrXQ1NbWkpbWcpeIz+ejulpKwwOxGUJfdvMohXJqUG4N2mredeFknZDw7hsn51Tc9DEY0Z14/sFoK7TPOVb9BlDNc1qz4R28tGG4gUOx6t6KvY+OxgYOqw6vZSqEEEJ0i3a10AwdOpRXX321xWOvvfYaQ4YMiWtQqUobmY3jZL7c9qON5NUx0b4C3PQjWkxmANzAINB7tbpoF883GAA7bwbR7JNx/YNx0scTyZ/b4j26QkVKsapfxYhsjvu9E0nZZVjVr2GEP0p2KEIIIRq165/cM2bM4MYbb2TQoEF8+9vfJhAIEIlEePDBB7nrrrtYsGBBouNMCZG+FxPccQfKqQDlI9LnQjB6aBVlrXHTv4YTLsGqfxcAJ2M8bsYxsePKINpCN1W8WDWv469Y2pgAKuzQWTg5pyXsefFi1L9H2q6/Ng7kBifrJOw+FyY3KCGEEO1LaP7nf/6H//znP8yfP58FCxaQm5tLRUUFnudxzjnncNVVVyU6ztRgZtPQf0Fs3IoRgFYG4iabr+LpWHcSsSSmftCvYweMQLuuV04lKroVbRWgfX07F0P1S43VkmPb/ppXcLJP7fGDjv1Vz4IGI7oD5dVhRj7FM/vi5ExOdmhCCHFAa1dCY5omDz74IK+++iqvvPIKu3fvJi8vj5NPPlmWPfgqpcBMT3YUrTLq/ouv5hVQsbE+vuqVuIGD8dKPaN/19e+QtuvvoOtBBbBzp+JkdaZei9dsS+v9LvreM2i9pyCiMtB4+CufxE0f0+nkTgghRNd1aJTnpEmTmDRpUqJiEd3AinwM7NVypAys8MfY7Uxo/JXLGpd+iiVt/qrncDIndrhlxQ0ehVWzas+g4/SjWr2HimwhUL4IpSN4/kFE+n67KSHrbk7mcY2tWypWLNFMB+1i2FtxJaERQoikkWkrBxgnbQRWzZq9ZjdpnLQR7b5e6eZTt7V2iU3n7tivkp17Hp6vH2a4BDdwME5WK4myjpJW9heUFwalYnV8yh/D7vvNDj0vXpzsk7EbPsJf8zLaCKKtfAC8wOCkxCOEECKm1U+h3NxcVAf+1b179+64BCQSy0s/gmjOaVi1/wIU0azj8dJH7eeiCIHyR1DODpSzK7bPSAPPwQse1rnp3ErhZJ2Ek7VvscZmpzlVKK9uzzMMH0Z0W8efF0d2v8vBzMAMfwTKws45A231SWpMQghxoGv1k2j+/PkdSmhE6oiGziQaOrPd5wd2/R0z/F5jN4+FxsELHIL2FWKHvpG4QAFtZqFVGorGhSK1izZbnobebZTC7jsruTEIIYRoptWE5rrrrmvXDVatWsWjjz4at4AOGNoBzB4/qwftYNhb94xZMSyU9hHJn9M9hfaMAJG8mQR2PxYbQ+MbSCRJ3U1CCCF6rk59Im3atIlHHnmExYsXU1paSjAY5I477oh3bL2TW0vazrsworvQRoBI3gy84H66fJJARXeTVvb/UE4Vhv0pnpkPVqxIoDYCNBtYnGBe+hE0BMcArlQrFkII0aJ2fzpUVVXx5JNP8sgjj/DWW7EaJmPGjOFHP/oRF1xwQcICTHVG/Xv4al8H5cMOnYd/92KM6HZQJkqHSdu1iPpBN/S4D+pA+V9Rzm5QBp5VgBHdhmsMBSONSN6M7m9ZUgoZwy6EEKI1bX5CeJ7Hiy++yCOPPMKKFSsIh8P079+fOXPmcO+997Jw4UJOPPHE7oo15RgN75O26/5YgT3tkRbZHGvd2Lvgng6j3NpWlydIFuXW7pkJZQbxjEMI9782FmcPS76EEEKIVj+Z/vd//5fHH3+csrIy0tLS+MY3vsHMmTOZPHky1dXV3HPPPd0ZZ0ry1ayhabksZaDcCrQaGCubr3ygNdrIQptZSY2zJZ6VjxmpakzGNNrKlcJxQggheqxWE5o777wTpRRTpkzhrrvuok+fPdNSZfZT+2gjjVhFXBN0FOU52KGz8dW9gRHdhjbSiOTN6pFLJETyv0Og7K8YThnazCSS951khySEEEK0qtXVtr/1rW+RmZnJ888/z7hx47jmmmv497//3eUHrl69mhkzZjBy5EhCoRCLFi1qOhaNRvnFL37BhAkTGDBgACNGjGDOnDls2bKlzXuuWrWKUCi0z9dHHyV3NWQ79zy0mYMR3oTZ8CHKLcdX8xKR/O/QMPB6wv3no/0Dkhpjq4wgkYLvxeIs/DHa14vqrHgN+CqfwVfxFCpakexohBBCxEGrCc2f/vQnPvroI+655x7Gjh3LAw88wJQpUxg/fjx//OMfO91KU1dXx6hRo7jpppsIBoPNjtXX17N+/XquvvpqXn31VR5++GG2bt3KhRdeiOM4+7332rVr2bhxY9PXsGHDOhVj3JgZuFZ/8MJoFUBb/TAjn+KrejG5caUQI/wxaV/cRtoXt2JVv9b1G3oRgl/8Dl/1i/hqVhHcfgsqKkUhhRAi1bU5ujMtLY0LL7yQCy+8kO3bt7N48WIeffRRbrvtNgBuuOEGZs+ezdSpU0lLS2vXA4uLiykuLgZg3rx5zY7l5OTw1FNPNdt32223cfzxx7Nx40ZGjx7d5r3z8/PJy8trVxzdwax9E1/tKhQacFH2Z7iBQ/dU2xVtUk4FgbJ7UNoDpfBXPoU2M3Ezjun0Pc26t1FOWazSMYC28VWvwM6T2jZCCJHKWm2h+arCwkJ++MMf8sYbb/Dyyy8zZ84cPvnkE6644gpGjGj/WkAdVVNTA0AotP9ZQJMnT2bEiBGcc845vPZaHP4130VW/Xq0mRubLaQ1aBfl1uBkjE92aCnBaNjYtIYTAMrCqv9vV+8a+49u/Np7nxBCiJSlKisr9f5Pa1k0GmXFihU8+uijzcbCtNfAgQP5v//7Py6++OIWj9u2zdlnn01ubm6b1YhLSkpYtWoVxxxzDLZts3jxYu6//36eeeYZJkyY0OZ1iZTvvUjIW48igp8KwGUrF1BhyVT39kjztjDYexTdWKVYaZcK4xh2GSd3+p5KRznMvYUA2wGIkk2JugbHzIlLzEIk2/Dhw5MdghBJ0aWEpqvaSmgcx2HOnDl8+OGHPPvss81mWbXHRRddhGmayV2WwbMJbvsNZngjGoNo6BvYfVtO3uKhpKSk1/1l5i9fglX3JqDx/EMIF8xrWoahM+9rhD8hbcefUG41EJs2b/e5CCe7KP7Bx1lv/Pm2Rd5XCNERPbJCmuM4zJ49m/fff5/ly5d3OJkBOPbYY1m6dGkComs/I7IZ5dbh+foDCjO8EbwGMIL7vVbE2HnTsENnonQ0tihlF0sGGJHPAIX25cd2aI1hfwr0/ISmTTqKEd2OVkGpFySEOCD1uIQmGo1y2WWX8cEHH7B8+XIKCgo6dZ933nmn09fGi69mVWz8TGOdGeVWYDZ8hJtxVFLj6rG0g6/qJZSzAydj3J41rsxM9tuMqB18VS+inJ14Zj6GW4a2+hHNOa1ZZWM37dA9FZBje3DTEjcGrDsot5q07X/AcHahlYWTeRJ2n/OTHZYQQnSrbk9oamtr2bRpExBbWqG0tJQNGzaQm5tL//79ueSSS1i3bh2PPPIISil27NgBQHZ2dtM077lz5wJw9913A7EigEOGDGHkyJHYts2SJUt45plnePDBB7v79ZqJLeKogS9bFVRjsT2xD60J7PwLZvhjUCZW/fpYV1Dm8e289i7M8CaUW4sR3YbnG4g2MzAiHxPpd2VTy44ODMHOPQ9f9UrQHk7mWNz2PKMH85c/hnKrm363rJrXiWYVSUuNEOKA0u0Jzbp16zj77LObthcuXMjChQuZOXMmCxYs4NlnnwViM5b2dscddzSNtSktLW12LBqNcv3117Nt2zbS0tIYOXIkS5YsaZoenix27rmYkY9RTjkKcIKj8dIOS2pMPZVyqzAjn4Dx5a+kiVWzul0JjXLKMSOfguFD2RWxZSa83WhfCDPyKcqtRFu5Tec7WRNxsiYm6E2SQDd8pdXJQXl1aCShEUIcOLo9oZk4cSKVlZWtHm/r2JeeeeaZZts//OEP+eEPf9jl2OLOzKSh8FrM8AdoMwsvcGj3r1KdIvRXl3/Qe7dstXRBFLQb+/+9r1WA95Vru7q0hI4CRvvv09Hzu8KzcYNHYoY3xZJB7aGtPni+wsQ/e7+xRUD55XdeCNEtetwYmt7Eqn0Tf8VTgINnFRIu+B6oLg4I1hqj4QOUW4mXPgZtZscl1qQzs3DSx2LVvQUoUD7s0Bn7nqc9ArsewGz4iGFuHb6K04nmfgMneBRW/X/wjFxM94tY/R/Pxsk4tvPfI+0QKLsHM/wpWhlEs0/ByWmj1U87sW4ze3NsVlv2FJycUzv37P3xIqTtvBsjWgpYOGkjUNigAti5F4ERSMxz2xVbPWk77sJwdgA+In3Ow80Yl7x4hBAHBEloEsWtxV/xeNOmEd2Kv3wJdv4lnb+n1gR23YdZ/05su/IfNBT8AO3v38VgewY772Kc9KMwojtxg2PQ/n0HdVtVL2LWvxvrXlIaX81LuMFR2H2/jdMwFiNahucrxIhux/P1wwuO6XQ8vspnMBtKwLBQePgr/4kbPKLV77e/YhlmuCQWGx7+qmdw04/cM6Mqjvy7l8ZmZykf4GBFSmgY8DO0tf8ClIkW2PUIRnRbYwtVFP/ux2kIjpbZfUKIhJISqQmi3Crw7L12mCi3awshquj2xg/zQOxLO/grn27j/F0YDR+CW92l53YbpfCCh+MFhqK8hsZup+bM6FYwfHt2aK/xw1OhfQOw6t4iUP4wVv3baN/ALnV3GNGde43pAXAwojtaD9/Z+ZXYbJTT+vldodzypno8AHiRLv9+xYtyq5p1tykv0lj3RwghEkdaaBJEW33RRiZKR2Ifqp6DDhzUpXsqHUXh7ZnCrNSecSRfYVWtxF+1HDwbbaYT6TsbL9jDByR7EYLbf4+yt6GUwkk7nEi/K5oNeHWCIzEb3tkzFVv5cAOHAhAouxfDKQelUNFdBHbdS7j//E6H46Ydhtnw/p4kRQXx2vgZuoHhmA0bY+drjTbS0b7BnX5+W7zAwbFB1KrxWWYmntUvIc/qKM8/CMPesuf7YGbGugCFECKBJKFJFCNAuN93CexejPJs3ODB2KFzunRLzz8A1zewcWyCCXhEs1ooCKddfNXPx/6VbAZR2sNfuZRwcEGXnp9o/spnYgtHmkE0YDZ8iFm/HjdjbNM5bubxRJ0KrPr/EMUgkjcN7Y8NgFVu9V7rPqkutwo4WUUotwKr/j20MrFD32g2W2qf87NPwXCrMBveRysLO/cctJWYJRWiOWei3FrMcAna8GHnXgBmRkKe1VF2n/NB25iRzWgjQKTPDDD8yQ5LCNHLSUKTQDpwUJdaCPahLMKFV+Gv/AfKrSGaOQEv2FgUTkfp463GX/5vohnHodir5UYplNdyS06P4tUSS9QaKQPl1uxzWjR0BtHQGXxWV8LwjD2l4rWVg4ruamy58lpMJlR0J77qV9FmkGj2lLYHzypFNPdcornnxjbtL/CXL0Gb6S1fq1RjQbs4FrXT0VixQbcKvzcIGL7nWXnT4/eceFIWdt9ZyY5CCHGAkYQm1RgB7D4XNt+nXdK2/4k87yOsuiysun/jmTkY7u5Y14yO4gYPT068HeBkTsSq37BnFWwjiJtxdLuvj/SdQ2DXvSinBu3LIdJ3TrPjyt5G2vY/NiZ7Llb9ehoKr2lX64GKbCFt559R2gNczPp3Cff/SfNxLPGmnVgFYDs2wHaI9ypGZABe4ODEPVMIIVKUJDS9gGFvxbQ/QysrNt5Ea7BCOGmHo5xduGnDcLJPS3aY++WlHUw4/3J8NSsBAzs0tUNTrrUvj3D/a1s97q96DoXXOCbHiA2ybvigXUtR+KueR2nddK1hl2KEP8YLjmx3fB1lRLZg2J83mx3kq3qeSL+5CXumEEKkKklo4kC51fjLHwWvATc4Gif71E7PrrFq12LWvQlY2LnnN40PaTsAhf5KETqtLOy8C1u5oOfygocRac/gZa3p460hsP1ZMDKI5E0HM6vtS746qU9Dm8X79rbPz7M7isUpFOor61hJkTohhGiJTNvuKu2Qtv2PmOGPMKNb8Vc+i1X9YqduZdb9G//uJZh2KWbkU9J2/Bnc+v1e5/kG4aYNR2kbtINWBnbOWZ2KIVX4qv5JnrcGM7oVM/whwe1/BO20eU009I3GWUFR8CJ4gSG46aPa9Tw75xtN3Xd4Eby0g/HShu//wi7wAkNwA8Ni0/+1g8bADvXun6sQQnSWtNB0kYqWoZzyPeMwDAuz4T2cnCkdvpdV9++9piMrlFeNGdmEm76f4nBKEen3PXZUPsmg7AycjHEJKebWk5gNH2JjoCJbUThooxzlVLT53tqXR0P/a7Fq30Ab6ThZJzRbibst2t+PhsL5WHX/QpsZOJntv7bTlEG44ErM2n9huNV81pDPwf6BiX2mEEKkKElousrM2PPB1vivd6zONXxpIzNWV6apKJnR/jEkyqTaOIpoqBOtBtrBv+shzMgmUD4iuefipR/R8ft0J+UnyFYM12ucol2LWfc2TkvLJexFWzlEQ6d36pHal9vpaztNWbhZJ+ICTllJ9z5bCCFSiHQ5dZE2s7GzT0FFKzAbPsK0P8e0N2PUv9vhe9l9zkNbfWNJkefgZJ6AFxiSgKib81cux6rfgNJhlFdDoHwRtDBduiexc4pROMQGwmg8Xz+s8IfJDksIIUSSSAtNHDihM/HDgbjGAAAgAElEQVTXrMIzg2jlB2Xgr3iK8P66ir7KCNLQ/xpUdAeoANrXNzEBf4WyS5uV+FduXWxNpP0Msu0SrRtL9ZudKj7n+QupZwiZaf7GlbqtxHcBCSGE6LHkEyAetI7NMjLSmnYpbbdxQRuUhe7mcRLaVwjhT/aU+DfS459MaY1ZtxbT3o6TPgZf1XOY4U9BgZN+NHberI7NDDOzqTTGkqE+iHX1GWlEcuNY0E4IIURKkYQmHpTCCwzZs46P5+CmH5LsqNrNzj0X5ezGiGwGw4cdOrtD9V/aI7DrAcz6DaBMfJVPAWZT0mTVvY2TfnSHx+3sMk6hT+E5KHc3nv8gMDPjGrMQQojUIQlNnETy5+CveAoV3Y72D8IOnZ3skNpPWUT6XR4ryNeF1alb5dY2LvIYmwmmdBS8mr1agVSsi6sTt9b+/mj6xy1UIYQQqUkSmnhR1r5LEqSaRCQzLdBmCOVub9zQsRWzOzreSAghhNiLJDQi8cxM3OCopi4nbQSx+1yA6ewArbBDZ6F9/ZIdpRBCiBQmCY3oFpG+l+4ZFJxxNF7gYKLJDkoIIUSvIQmN6DSrcgW+ujcBiGZNxsmaQGDH/8NXuwrQOOnHEi68CowAKIWbeQJud8ZX8wa+mpdAezjpRxPNPafpmBH+BP/uJSht4/kPItJ3VnymfWun26fdCyGEkIRGdJJR91/8Vc831a/xVzyFWf8e/qrngNjgYl/NKrTVh0i/73Z7fCpSir/i8aaqy76aV9C+/NiSBV6YtLL7QdugFGb9evy707HzpnXtoV49we1/iCU0mDiZ47HzZnT9ZYQQQuyXVAoWnWI1vL/XEg2AAiP8Hpq9Z0p5GPbnLd9Aa3Cr27X4ZmeYkY9jy0js2YPRsDEWqrMbvNo9cRo+VHRbl5/p3720cV2vABgWVu1aDHtrl+8rhBBi/6SFRnSKl3Yw1L0JqnFRTg2e/2As+7O9zjLwrBYWi9QugbK/YIY/ARRO+jGxlow4zrLy/EO+cj8XL3BQ7PFmCG2kodCN8Thos0+Xn6m8uuZJHi64lYAsKCmEEInW7S00q1evZsaMGYwcOZJQKMSiRYuajkWjUX7xi18wYcIEBgwYwIgRI5gzZw5btmzZ731ff/11Jk2aREFBAUcddRT3339/Il/jgOdkHI+T+TU0JhqTaPZkIoXfJ5oxDo0JGDjpo4jkz97nWl/Vi5gNJaAMUAqr/k2MhvfjGp+Xdgh2djEaC42Bk340Ttbk2EEznUifGWgVQGPg+Q/Czpve5Wc66ceCdmIbWqPNHDz/wV2+rxBCiP3r9haauro6Ro0axcyZM7niiiuaHauvr2f9+vVcffXVHHHEEVRXV/Ozn/2MCy+8kNWrV2NZLYe7efNmpk2bxsUXX8xf/vIX1q5dy09+8hPy8vKYOnVqd7xW6vLsWNE7wE0fDcrXvuuUws6bCX2mA6qpNSQ88BexD3WtwfBhhDehGnbipY1AW7mxS50dzVsytMaIbsdjdDzfDCd0Bk7O6cTG9OzJ3VVkK8qLEM6fh/bnx20NKDdzHLaOYta/BTTWJTLT43JvIYQQbev2hKa4uJji4mIA5s2b1+xYTk4OTz31VLN9t912G8cffzwbN25k9OiWP/AeeOABCgsLueWWWwAYMWIEb7/9NrfffrskNG3xIgS334qKfhHb9A0iXPijpoq+7aJaaORTFijw734Cq2YV4IFKI5w/By94GE76MVj16wGzKfFxgwkqrKcUsKfryapaib/qH7HxNcrCzr0QJ+uEuD3OyTohrvcTQgjRPj1+UHBNTQ0AoVCo1XPefPNNTjnllGb7Tj31VNatW0c0KtVOWuOrXomK7gQjCEYQI7qtMQGJA68eq3ZtLDky0gCNv3JZ7FD6GOzc8/CsfDxfIeG876D9BfF57n74al6KJVxGILauVPXz3fJcIYQQidWjBwXbts3PfvYzTj/9dAYObH1g5c6dO5k8eXKzffn5+TiOQ3l5OYWFhS1eV1JSEs9we4SOvFNf7zNCXhhUY9KnXSrCmynf2fXvi6nrONitbdaCY1PJ57Vf3rsAODf2v7UAnXtmS++rtEOefg2frqFajaTOOCx2QGsO8aox9qqG4+LwaQr9HvTG39m2yPt23PDhw+MQiRCpp8cmNI7jcPnll1NVVcUjjzySkGf0tj/4JSUlHXonFc0juP3TPdOblYlReD59fLldD0ZrAjtHYYY3Na1A7ss9heHZ8fuet/i+2iNtxx8w7FLApB/bsPvk4WQeD4B/13FY9etirTReFCfzeIbnpcbvQUd/vqlO3lcI0RE9MqFxHIfZs2fz/vvvs3z5cvr0aXtKbb9+/SgrK2u2r6ysDMuyyMvLS2SoKU37+tBQ8GN8Vc+CMojmnImORzIDoBSRft/DV/kshlOGEzwSN/O4+Ny7rcc65bFkpmmgr4VZ+0ZTQmPnzcLzFWJGPsdNG4aTNSnhMQkhhEi8HpfQRKNRLrvsMj744AOWL19OQcH+x1aMHz+e5cuXN9u3cuVKxo4di8/Xzlk7Byjt74ed/53E3FxZzZYb6BbKYu9BwGiNYu8CgAonZwpO90YlhBAiwbp9UHBtbS0bNmxgw4YNeJ5HaWkpGzZsYMuWLTiOwyWXXMLbb7/Nvffei1KKHTt2sGPHDhoaGpruMXfuXObOndu0femll/LFF1+wYMECNm7cyIMPPsjDDz/M97///e5+PZFk2srFSR8LXgS8CFoZ2N2dVAkhhOh23d5Cs27dOs4+++ym7YULF7Jw4UJmzpzJggULePbZZwH2GeR7xx13cPHFFwNQWlra7NjQoUNZsmQJP/3pT7n//vspLCzk5ptvlinbByg772KcjONQTjle2sj4daMJIYTosbo9oZk4cSKVlZWtHm/r2JeeeeaZffaddNJJvPbaa12KTfQSSuEFRyQ7irizdDVm3X/x/IVoX8sz94QQ4kDV48bQCCH2ZdS/y1D3PgK7TMDCDp2JkzMl2WEJIUSP0eML64nup6JlGJHPQfeiooRuDUbkM3Brkx1Jp/gr/xGremwEwfDhq37pK6uJCyHEgU1aaEQz/l2PYNW9icLFs/rRUPgjMDOSHVaXGHXrCOx+FOXVo40MInmz8NITtNRCgqivJC9Ka8CDvWdwCSHEAUwSmt7Ai6DcGpTu2mRkZW/FqvsXGH40PpRbgb/iCey+3+7QfazqV7Fq30B5YdARMLNw/YNji1nGaSHIjghUPoVCgxFE4RGoeJKGFEto3PQxqOrGVec9Bzc4vP0LiQohxAFAEpoUZ9StJ7B7MUqHGeqBsq9G+wd06l7KrW7ejaFMlNfQ+gUtxVP/Dv7KpwETM1KC9qJ4gUOwomWAid33m52KrdO0Bu8rXWcp2JVmh6ZStrOeQYE6PF8/oqGzkh2SEEL0KDKGJpVpTaDiMRQOKAtThwmUP9Tp23mBoWgrBNprvL+Dk35sh+7RtIo2DmgHBSivFgwfRnRLp2PrNKXwAkNiSY1nY4Q3YUS34at8NpbspAqlqDSOI9Lvu0RzpyalpUsIIXoySWhSmoPS9p5NpVBepPO3M4KEC36Em3YYrn8Idp9puJnjOnQLzz8IcIg1/hmgNFoFQHtoI7PzsXVBJH8OTsZ4jOhOUGloMxdf1Qv4qv6ZlHiEEELEn/wzL5UpH56VjxHdHuse0g6ef3CXbql9fYj0u7zT1ztZkzAjmzDDH+D5+oMXBjMLbYWw82Z1KbbmgWpC3tsEdjyPNjKx+1wEZnrL5yqLaPbkpvFBsX0+jPBHwJnxi0kIIUTSSEKT4sL9riRQ/hDKraJaDSK7bxyThs5Qikj+ZbGlB6BxVetIbLqxUm1f2wFW9Yvke69g2jmgXcwd22joPx9Uy7N+tJkRW/W7aYcHKi1u8QghhEguSWhSnZne1KKyo7aE7J4ytsII7Pn/1lpOusCqf4fol++qTJRThnIq0L6+LV9gZmNnn46/agXgoM0+2Hkz4h6XEEKI5Oghn35CdJDh+8qgXgNttN3i4uScipP5tVg9GquPDKwVQoheRAYFi5QUyb0IT/nBbQDtEM2aDGY7Bh2bmWhfP0lmhBCil5G/1UVK0v5CNhtzGF4YRJs5rXc1CSGEOCBIQiNSlqcCeGnDkh2GEEKIHkASGhE3yv6CQMWTaBzcjPE4GeOka0cIIUS3kE8bER9uLcEdt4O2Qdv4ql5G+wrw/AMI970MHRiMEfkM5ezECwyPVSQWQggh4kQSGhEXZvgT8KrBCGJESmMLZbpVKDebwK6/4gVHY9W8BnhoI0gk/7t4aYcmO2whhBC9hCQ0Ii5iLS6xSXNKO8QWcbJiyzG41Vi1bzRV6VXaw1/xNOH+P+n2OFW0nMCu+1BuDdoKEek7B23ldHscrdIeRnQrAJ5vICiZiCiEEO0hCY2ICy9wEE7G8Vj1b6GVidIGnq+wcQ2nbJRXTSzLobFisJeUOANl92A45bFEy/6CwK77CBf+OCmx7EM7pO24AyPyCQBe4BDCBd+XcUhCCNEO8jeliBu770yiTjE4VQQql6PcCrSZRaTPdwjs/juG/VnjUggOTvox3R+g1ii3as8SDMpAOZXdH0crrJrXMSKfQmOBQCOyGavmdZzsyckNTAghUoAkNCKutJUHVh7hwh802x8umIevYjmGU46TfiRu5vjuD04ptJmFcipiSY3WaCu7++NohXIrm69FpczYPiGEEPslCY3oHspHtM95yY6CSP4cAmWNY2h8OUT6XpbskJo4GV/DV7NmryUdTJyMJCR+IrncagK7HkZ5tXj+Idh9zpduRyHaQf6UiAOK9vUjPOC6WNIQx9W/40H7+xMu+B6+qhUARHNOR/sHJDkq0a20JrjjdpSzG5SBYW8DPFlIVYh26PYpFKtXr2bGjBmMHDmSUCjEokWLmh1ftmwZ559/PsOGDSMUCrFq1ar93nPVqlWEQqF9vj766KNEvYZIdT0smfmSFziYSL/vEen3PbzAwckOR3Q3r7YpmQHAsDAim5MakhCpotsTmrq6OkaNGsVNN91EMBjc53h9fT3jx4/nxhtv7PC9165dy8aNG5u+hg2TsvhCiBRiBNHKt2dbazACyYtHiBTS7V1OxcXFFBcXAzBv3rx9js+YEWtaLS8v7/C98/PzycvL61qAQgiRLMoimnsevoqlKG2jzWwieRcnOyohUkKvGkMzefJkbNtmxIgRXH311RQVFSU7JCGE6BAnczxO+pEotzZWsFIGBAvRLr3iT0phYSG///3vOeaYY7Btm8WLFzN16lSeeeYZJkyYkOzwhBCiY4w0dGM9IiFE+/SKhGb48OEMHz68aXv8+PF8/vnn/OlPf2ozoSkpKemO8LpVb3yntiTzfZV26Oc9Rxo78EjjC3UWjrH/ZRQMHcEggkNWhwcny8+3d4vH++79d6EQB5JekdC05Nhjj2Xp0qVtntPb/uCXlJT0undqS7Lf17/rIay6z8Dwga4h1/wnDQN+1maSYlU9h7/qJcDFs/rFChAa+w6Ob0my37e7yfsKITqi1658984771BQUJDsMEQvZthbYskMxJZRcKvAq2n1fOWU4696vnHhThPD2Yl/9+PdE6wQQvRy3d5CU1tby6ZNmwDwPI/S0lI2bNhAbm4ugwcPpqKigi1btlBVVQXAp59+Sk5ODgUFBU0Jyty5cwG4++67AbjzzjsZMmQII0eOxLZtlixZwjPPPMODDz7Y3a8nuomKbCXbW4+KpKMDA5MThJEBTvmemiHKD0Z6q6fHEh4bzMYWGWWi3OpuCFQIIXq/bm+hWbduHUVFRRQVFdHQ0MDChQspKirit7/9LQDPPvssRUVFnH322QD84Ac/oKioiPvvv7/pHqWlpZSWljZtR6NRrr/+ek488UTOOOMM1q5dy5IlSzjnnHO69+VEt7BqVhHccSsF3nMEd9yKVbP/4ouJEMn7FtrMAe0BFuE+09qckeL5+qPN7D1LG3g2btrh3ROsEEL0cqqyslLv/zSRCg6UPvhg6S9QuoG6ujoyMjLQKkjDoBuSE4zW4NXGxsG0Y3qtsrcR2L0EdBQ3OJpozhntHhh8oPx8vyTvK4ToiF47KFj0Zt5+truRUmBmtft07R9AuPCqBAYkhBAHpl47KFj0Xm5wFGgntqEd3LRRyQ1ICCFE0kkLjUg5dp8ZeL7+1NW/hS80DidrcrJDEkIIkWSS0IjUoxRO9mS+2DGQzGwZcyCEEEK6nIQQQgjRC0hCI4QQQoiUJwmNEEIIIVKeJDRCCCGESHmS0AghhBAi5UlCI4QQQoiUJwmNEEIIIVKeJDRCCCGESHmS0AghhBAi5UlCI4QQQoiUJwmNEEIIIVKeJDRCCCGESHmS0AghhBAi5UlCI4QQQoiUJwmNEEIIIVKeJDRCCCGESHmS0AghhBAi5UlCI4QQQoiUJwmNEEIIIVKeJDRCCCGESHndntCsXr2aGTNmMHLkSEKhEIsWLWp2fNmyZZx//vkMGzaMUCjEqlWr2nXf119/nUmTJlFQUMBRRx3F/fffn4jwRQqxql8lWPpLgqXX49/9OGid7JCEEEIkSLcnNHV1dYwaNYqbbrqJYDC4z/H6+nrGjx/PjTfe2O57bt68mWnTpjF+/Hhee+01fvzjHzN//nyefvrpeIYuUoiKfI6/chlK16N0GKtmNVbt6mSHJYQQIkGs7n5gcXExxcXFAMybN2+f4zNmzACgvLy83fd84IEHKCws5JZbbgFgxIgRvP3229x+++1MnTo1DlGLVGNGNoF2QZmxHYYPI/wxZJ2U3MCEEEIkRK8YQ/Pmm29yyimnNNt36qmnsm7dOqLRaJKiEsnkBYbS7Nfbi+IFDklWOEIIIRKsVyQ0O3fuJD8/v9m+/Px8HMfpUEuP6D28wFDs0FloFUArH07m13CyJiY7LCGEEAnS7V1OPUlJSUmyQ4i73vhObWn7fYcA3479bwOw++NuiCix5Ofbu8XjfYcPHx6HSIRIPb0ioenXrx9lZWXN9pWVlWFZFnl5ea1e19v+4JeUlPS6d2qLvG/vJu8rhOiIXtHlNH78eFauXNls38qVKxk7diw+ny9JUQkhhBCiu3R7C01tbS2bNm0CwPM8SktL2bBhA7m5uQwePJiKigq2bNlCVVUVAJ9++ik5OTkUFBRQUFAAwNy5cwG4++67Abj00ku55557WLBgAZdeein/+te/ePjhh7n33nu7+/WEEEIIkQTd3kKzbt06ioqKKCoqoqGhgYULF1JUVMRvf/tbAJ599lmKioo4++yzAfjBD35AUVFRs0J5paWllJaWNm0PHTqUJUuWsGbNGiZOnMjvfvc7br75ZpmyLYQQQhwgVGVlpZRP7SUOtD54ed/eTd5XCNERvWIMjRBCCCEObJLQCCGEECLlSUIjhBBCiJQnCY0QQgghUp4MChZCCCFEypMWGiGEEEKkPElohBBCCJHyJKERQgghRMqThEYIIYQQKU8SGiGEEEKkPEloUtzq1auZMWMGI0eOJBQKsWjRomSHlDC///3vOfnkkxk8eDDDhg1j+vTpvP/++8kOK2HuueceJkyYwODBgxk8eDBTpkzhueeeS3ZY3eb3v/89oVCIa665JtmhJMTChQsJhULNvg477LBkhyVEypKEJsXV1dUxatQobrrpJoLBYLLDSajXX3+d2bNn89xzz7Fs2TIsy+Lcc8+loqIi2aElxIABA7jhhht49dVXWblyJUVFRVx88cW8++67yQ4t4d566y3++te/Mnr06GSHklDDhw9n48aNTV9r1qxJdkhCpCwr2QGIrikuLqa4uBiAefPmJTmaxFq6dGmz7bvvvpshQ4awdu1azjjjjCRFlThnnXVWs+2f//zn3Hfffbz11luMGTMmSVElXlVVFd/97ne5/fbbufnmm5MdTkJZlkVBQUGywxCiV5AWGpGyamtr8TyPUCiU7FASznVdnnjiCerq6hg/fnyyw0moq666iqlTp1JUVJTsUBJu8+bNHH744Rx55JFcdtllbN68OdkhCZGypIVGpKwFCxZwxBFH9OoP+Pfee4/i4mLC4TAZGRk89NBDvbob5m9/+xubNm3iL3/5S7JDSbhx48Zx5513Mnz4cHbt2sUtt9xCcXExa9eupU+fPskOT4iUIwmNSEk//elPWbt2LStWrMA0zWSHkzDDhw9n1apVVFdX8/TTT/O9732P5cuXM2rUqGSHFnclJSX86le/YsWKFfh8vmSHk3BTpkxptj1u3DiOPvpoHn74Yb7//e8nKSohUpckNCLlXHfddSxdupR//OMfDB06NNnhJJTf7+eQQw4B4Oijj+Y///kPd955J7fffnuSI4u/N998k/Lyco4//vimfa7rsmbNGu6//362bdtGIBBIYoSJlZmZyeGHH86mTZuSHYoQKUkSGpFSrr32Wp588kn+8Y9/HJBTXD3Pw7btZIeREGeddRZjx45ttu/KK69k2LBh/PjHP8bv9ycpsu4RDocpKSlh4sSJyQ5FiJQkCU2Kq62tbfoXned5lJaWsmHDBnJzcxk8eHCSo4uvq6++msWLF/PQQw8RCoXYsWMHABkZGWRmZiY5uvj75S9/SXFxMQMHDqS2tpbHH3+c119/nSVLliQ7tIT4shbL3tLT08nNze2VXWw/+9nPOP300xk0aFDTGJr6+npmzpyZ7NCESEmS0KS4devWcfbZZzdtL1y4kIULFzJz5kzuuuuuJEYWf/feey8AU6dObbb/2muv5brrrktGSAm1Y8cOLr/8cnbu3El2djajR4/m8ccf59RTT012aCIOtm3bxpw5cygvL6dv376MGzeOF154gSFDhiQ7NCFSkqqsrNTJDkIIIYQQoiukDo0QQgghUp4kNEIIIYRIeZLQCCGEECLlSUIjhBBCiJQnCY0QQgghUp4kNEIIIYRIeZLQiJS2aNGipoJsX/165ZVXWLVqFaFQiFWrViU71LhauHBhu1YZ763vL4QQXyWF9USv8Le//Y0BAwY02zdixAjWr1+fpIgS69vf/jannXZassMQQogeQxIa0SscccQRTYs4HggGDhzIwIEDkx2GEEL0GNLlJA44L7/8MhdddBEjRoygf//+nHDCCfz5z3/Gdd2mc6ZNm0ZRUdE+127fvp28vDzuuOMOAHbt2sVVV13FscceS//+/Rk9ejRz5sxh27Ztza77sovok08+Ydq0aQwcOJAxY8Zw880343les3NLSkq4+OKLGTJkCIWFhZx22mm8+OKLLd5vb7t27WLOnDkMHjyYIUOGMHfuXKqqqvZ5h5deeoni4mKGDBnCwIEDGTduHDfffHPHvolCCNHDSAuN6BVc18VxnKZtpRSmabZ47ubNmykqKuLyyy8nEAjw3//+l5tvvpny8nJ++ctfAjB9+nRmz57Nhx9+yOGHH9507WOPPQbARRddBEBFRQWBQIDrr7+evn37sn37dm6//Xa+/vWv89Zbb5GWltbs2bNmzeKb3/wm8+bN45///CcLFy5k4MCBzJo1C4AvvviC008/nczMTG655Rays7O59957mTZtGosXL2bKlCmtfg++9a1v8e677/Lzn/+cYcOGsXTpUq699tp93n3mzJlMnTqV+fPn4/P52LRpE5s3b27fN1oIIXooSWhEr3Dcccc12z7++ONZsWJFi+dedtllTf+vtWbChAnYts2f//xnrr/+egzD4MwzzyQ7O5vFixfzi1/8oun8xYsXc8opp9CvXz8Ahg8f3qx1w3Vdvva1rzFmzBheeOGFZguHAlx55ZVNycvkyZNZtWoVTzzxRNO+O+64g8rKSl544YWmLrTi4mK+9rWv8etf/7rVhGblypW88cYb3HfffVxwwQUAnHrqqVx44YVs3bq16bz169dj2za33nor2dnZAEyaNKm1b6sQQqQM6XISvcJDDz3EypUrm77+/Oc/t3ru9u3bueqqqxgzZgz5+fn07duX3/zmN1RVVVFWVgZAMBjknHPO4bHHHkPr2Pqt7733Hu+++y7Tp09vdr/77ruPE088kYEDB5KXl8eYMWMA+Pjjj/d59te//vVm2yNHjqS0tLRpe82aNRx33HHNxgOZpskFF1zAO++8Q3V1dYvv9Oabb2KaJuecc06z/eeff36z7SOOOAKfz8fs2bN5+umnm95XCCFSnSQ0olcYNWoUY8eObfoaPnx4i+d5nsfMmTN57rnnuOaaa1i2bBkrV67k6quvBiAcDjedO336dEpLS5umPC9evJisrCzOOuuspnPuvvtufvKTnzB58mT+/ve/8/LLLzeNd9n7Xl/Kzc1ttu33+5udV1FRQUFBwT7XFRQUoLWmsrKyxffasWMHoVAIn8/XbP+XLUlfOuSQQ3jiiSfwPI+5c+dy2GGHcdppp/H666+3eF8hhEgV0uUkDiiffvop69at4+67727W0vLPf/5zn3NPOukkBg0axJIlSzjppJN4/PHHOeeccwgGg03nLF26lEmTJnHjjTc27evKeJTc3Fx27ty5z/4dO3aglGq19kxBQQGVlZVEo9FmSU1L9yoqKqKoqIhIJMLatWtZuHAh06dPZ8OGDeTl5XU6diGESCZpoREHlPr6eoBmH/rRaLRpsO/elFJMnz6dZcuW8fzzz7Nt27Z9upvq6+v3aRVZtGhRp+M78cQTeeutt/jss8+a9rmuy5NPPsmRRx7ZNO7lq8aPH4/ruixbtqzZ/qVLl7b6rEAgwKRJk/jBD35AXV1ds2cKIUSqkRYacUAZMWIEgwcP5te//jWmaWJZFnfeeWer50+fPp1bb72VH//4xwwaNIiJEyc2O37aaafxhz/8gVtvvZVjjz2W1157jaeffrrT8c2bN4+HH36Y8847j+uuu46srCzuu+8+Pv74Y5YsWdLqdSeffDInnHACP/rRjygvL2+a5fTBBx80O+/+++9nzZo1TJkyhYEDB1JeXs5tt91G//79GTlyZKfjFkKIZJMWGnFA8fv9LFq0iGfazREAAAD5SURBVIKCAq644gquueYaJkyYwI9+9KMWzz/ssMMYO3Ys27ZtY9q0aSilmh2fP38+l156KXfeeSezZs3ivffe44knnuh0fP3792fFihUcfvjh/OQnP+GSSy6hoqKCJUuW7Lcy8N///nemTJnCr371Ky699FIcx+H//u//mp0zZswY6urq+NWvfsX555/P/PnzOeigg1i2bFmzrjQhhEg1qrKyUic7CCGEEEKIrpAWGiGEEEKkPElohBBCCJHyJKERQgghRMqThEYIIYQQKU8SGiGEEEKkPElohBBCCJHyJKERQgghRMqThEYIIYQQKU8SGiGEEEKkvP8PWgDlLiGqElMAAAAASUVORK5CYII=\n", "text/plain": [ "Class | Alcohol | Malic Acid | Ash | Alcalinity of Ash | Magnesium | Total Phenols | Flavanoids | Nonflavanoid phenols | Proanthocyanins | Color Intensity | Hue | OD280/OD315 of diulted wines | Proline | Distance | \n", "
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 14.23 | 1.71 | 2.43 | 15.6 | 127 | 2.8 | 3.06 | 0.28 | 2.29 | 5.64 | 1.04 | 3.92 | 1065 | 0 | \n", "
1 | 13.74 | 1.67 | 2.25 | 16.4 | 118 | 2.6 | 2.9 | 0.21 | 1.62 | 5.85 | 0.92 | 3.2 | 1060 | 10.3928 | \n", "
1 | 14.21 | 4.04 | 2.44 | 18.9 | 111 | 2.85 | 2.65 | 0.3 | 1.25 | 5.24 | 0.87 | 3.33 | 1080 | 22.3407 | \n", "
1 | 14.1 | 2.02 | 2.4 | 18.8 | 103 | 2.75 | 2.92 | 0.32 | 2.38 | 6.2 | 1.07 | 2.75 | 1060 | 24.7602 | \n", "
1 | 14.38 | 3.59 | 2.28 | 16 | 102 | 3.25 | 3.17 | 0.27 | 2.19 | 4.9 | 1.04 | 3.44 | 1065 | 25.0947 | \n", "