From 78bf3030fd8c92b9e05c961d871917974b704bd3 Mon Sep 17 00:00:00 2001 From: Bhargav Srinivasa Date: Thu, 8 Sep 2016 16:45:42 +0200 Subject: [PATCH 1/4] Added Tutorial Notebook --- examples/metric_plotting.ipynb | 373 +++++++++++++++++++++++++++++++++ 1 file changed, 373 insertions(+) create mode 100644 examples/metric_plotting.ipynb diff --git a/examples/metric_plotting.ipynb b/examples/metric_plotting.ipynb new file mode 100644 index 00000000..f1f165da --- /dev/null +++ b/examples/metric_plotting.ipynb @@ -0,0 +1,373 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "collapsed": false + }, + "source": [ + "### Metric Learning and Plotting\n", + "\n", + "This is a small walkthrough which illustrates all the Metric Learning algorithms implemented in metric_learn, and also does a quick visualisation which can help understand which algorithm might be best suited for you.\n", + "\n", + "Of course, depending on the data set and the constraints your results will look very different; you can just follow this and change your data and constraints accordingly." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Imports " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "\n", + "import metric_learn\n", + "import numpy as np\n", + "from sklearn.datasets import load_iris\n", + "\n", + "# visualisation imports\n", + "import matplotlib.pyplot as plt\n", + "from mpl_toolkits.mplot3d import Axes3D" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Loading our data-set and setting up plotting" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# loading our dataset\n", + "\n", + "iris_data = load_iris()\n", + "# this is our data\n", + "X = iris_data['data']\n", + "# these are our constraints\n", + "Y = iris_data['target']\n", + "\n", + "# function to plot the results\n", + "\n", + "def plot(X, Y):\n", + " x_min, x_max = X[:, 0].min() - .5, X[:, 0].max() + .5\n", + " y_min, y_max = X[:, 1].min() - .5, X[:, 1].max() + .5\n", + "\n", + " # \n", + " plt.figure(2, figsize=(8, 6))\n", + "\n", + " # clean the figure\n", + " plt.clf()\n", + "\n", + " plt.scatter(X[:, 0], X[:, 1], c=Y, cmap=plt.cm.Paired)\n", + " plt.xlabel('Sepal length')\n", + " plt.ylabel('Sepal width')\n", + "\n", + " plt.xlim(x_min, x_max)\n", + " plt.ylim(y_min, y_max)\n", + " plt.xticks(())\n", + " plt.yticks(())\n", + "\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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i55ZzmPvZMgwePPiRc/vss8+w8Yv3Mau1A4yNBGxPyMEVMy/sjT1c4+1mhvfI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\nS5cu1fDjjtOAo47SlClTgo4DoAmibJuo2bNna8i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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plotting the dataset as is.\n", + "plot(X, Y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Applying Large Margin Nearest Neighbour" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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V1q35EXd3d53EMG3qFIzGT2D5+PewsbFm9coV1K1b943rCwwMZNy48Uxav5tC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\ncXUo7jJvHuTOz6tjH+ieSxctpFt112vbCA6O8GD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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# applying our Metric Learned algorithm\n", + "X = iris_data['data']\n", + "lmnn = metric_learn.LMNN(k=5, learn_rate=1e-6)\n", + "lmnn.fit(X, Y)\n", + "X = lmnn.transform()\n", + "\n", + "plot(X, Y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Applying Information Theoretic Metric Learning " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+8W8UwsSK/UEEpvLgwQN86/nRe8QkajZsyvbffib9wV0O7Ntr7mhClFiDBgxg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\nftR0ql1SUlLO9UZ+6jcTvKY3cnWcOXOGl1+aysG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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X = iris_data['data']\n", + "itml = metric_learn.ITML_Supervised(num_constraints=200)\n", + "itml.fit(X, Y)\n", + "X = itml.transform()\n", + "\n", + "plot(X, Y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Applying Sparse Determinant Metric Learning" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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FKarQqBg4OjsjKyvLZjmReampqWirVcHRvqIPdarng7PnbfNlrSbk5uZCbzQi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\nsBUREfHY/wELLq4iUf9gXwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X = iris_data['data']\n", + "sdml = metric_learn.SDML_Supervised(num_constraints=200)\n", + "sdml.fit(X, Y)\n", + "X = sdml.transform()\n", + "\n", + "plot(X, Y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Applying Least Squares Metric Learning" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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O4ODgoBXr5+fH0kWLSEpK5M1Bg/H2zv7BHuL19J/3Rv4HD+AHRVFKAueBI8BR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\nMp+bcgSrwxCmfvixs4WJR9N9tuKRateuraCtpEm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jlI+yz0T7s4qcgcJWxB5BQELFrT8b\ngbbAc5ZllQLXAq9UHN8AdD/hdUXGmGTgHeD2imOvAn81xiRx9p/ZiYBvxQVXW4AXztDOArAsK5Py\nNeR1wLfALiC3os0MYFzFhVYtOf0oXEROQ3sji1QRxphlwFjLspIdriOwYs3ZG5gFTLMsa46TNYlU\ndxrZilQdVeU33+eMMRuAH4GdClqRc6eRrYiIiM00shUREbGZwlZERMRmClsRERGbKWxFRERsprAV\nERGxmcJWRETEZv8P3hDmFU9yTeoAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X = iris_data['data']\n", + "lsml = metric_learn.LSML_Supervised(num_constraints=200)\n", + "lsml.fit(X, Y)\n", + "X = lsml.transform()\n", + "\n", + "plot(X, Y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Applying Neighborhood Components Analysis" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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PQ4886m7IUkJrtiIiclqysrIICgoiMDDQ7SilhspWRETEYdogJSIi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\nQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X = iris_data['data']\n", + "nca = metric_learn.NCA(max_iter=1000, learning_rate=0.01)\n", + "nca.fit(X, Y)\n", + "X = nca.transform()\n", + "\n", + "plot(X, Y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Applying Local Fischer Discriminant Analysis" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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TgOtRV+g2qA8vvfRSWUcXolL4cuEXvDxzJqgqDevX48etv7Jm8xa+nP8JOp2O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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X = iris_data['data']\n", + "lfda = metric_learn.LFDA(k=2, dim=2)\n", + "lfda.fit(X, Y)\n", + "X = lfda.transform()\n", + "\n", + "plot(X, Y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Applying Relative Components Analysis" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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yOYPMZy5dupTwp6GEPw2VQitEJpI7W5EnlShVmqGzf6ZwidIA7Fq9lPz6GObP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\nsDAptkIIIYSF/T+4eOEeZ73v/gAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X = iris_data['data']\n", + "rca = metric_learn.RCA_Supervised(num_chunks=30, chunk_size=2)\n", + "rca.fit(X, Y)\n", + "X = rca.transform()\n", + "\n", + "plot(X, Y)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.12" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} From 58eb659576167d4dd0a30809a8239d3c2a72f999 Mon Sep 17 00:00:00 2001 From: Bhargav Srinivasa Date: Thu, 13 Oct 2016 17:17:54 +0200 Subject: [PATCH 2/4] Added Text --- examples/metric_plotting.ipynb | 85 +++++++++++++++++++++++++--------- 1 file changed, 62 insertions(+), 23 deletions(-) diff --git a/examples/metric_plotting.ipynb b/examples/metric_plotting.ipynb index f1f165da..98c3b072 100644 --- a/examples/metric_plotting.ipynb +++ b/examples/metric_plotting.ipynb @@ -10,7 +10,7 @@ "\n", "This is a small walkthrough which illustrates all the Metric Learning algorithms implemented in metric_learn, and also does a quick visualisation which can help understand which algorithm might be best suited for you.\n", "\n", - "Of course, depending on the data set and the constraints your results will look very different; you can just follow this and change your data and constraints accordingly." + "Of course, depending on the data set and the constraints your results will look very different; you can just follow this and change your data and constraints accordingly. " ] }, { @@ -43,7 +43,11 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### Loading our data-set and setting up plotting" + "### Loading our data-set and setting up plotting\n", + "\n", + "We will be using the IRIS data-set to illustrate the plotting. You can read more about the IRIS data-set here: [link](https://en.wikipedia.org/wiki/Iris_flower_data_set). \n", + "\n", + "We would like to point out that only two features - Sepal Width and Sepal Length are being plotted. This is because it is tough to visualise more features than this. The purpose of the plotting is to understand how each of the new learned metrics transform the input space. " ] }, { @@ -63,12 +67,9 @@ "Y = iris_data['target']\n", "\n", "# function to plot the results\n", - "\n", "def plot(X, Y):\n", " x_min, x_max = X[:, 0].min() - .5, X[:, 0].max() + .5\n", " y_min, y_max = X[:, 1].min() - .5, X[:, 1].max() + .5\n", - "\n", - " # \n", " plt.figure(2, figsize=(8, 6))\n", "\n", " # clean the figure\n", @@ -97,7 +98,7 @@ "data": { "image/png": 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i55ZzmPvZMgwePPiRc/vss8+w8Yv3Mau1A4yNBGxPyMEVMy/sjT1c4+1mhvfI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\nS5cu1fDjjtOAo47SlClTgo4DoAmibJuo2bNna8i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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -113,7 +114,20 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### Applying Large Margin Nearest Neighbour" + "Why is Metric Learning useful? We can, with prior knowledge of which points are supposed to be closer, figure out a better way to understand distances between points. Especially in higher dimensions when Euclidean distances are a poor way to measure distance, this becomes very useful.\n", + "\n", + "Some good reading material for the same can be found [here](https://arxiv.org/pdf/1306.6709.pdf). It serves as a good literature review of Metric Learning. \n", + "\n", + "We will briefly explain the metric-learning algorithms implemented by metric-learn, before providing some examples for it's usage, and also discuss how to go about doing manual constraints." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Applying Large Margin Nearest Neighbour\n", + "\n", + "LMNN is a metric learning algorithm primarily designed for k-nearest neighbor classification. The algorithm is based on semidefinite programming, a sub-class of convex programming (as most Metric Learning algorithms are)." ] }, { @@ -127,7 +141,7 @@ "data": { "image/png": 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4sGEoioK7uzuXLpwnPj4eS0vLdIdVO3bowOZFMxgyfhbxsdHsWreMfh9P4PQf2zE2fvkV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\ncXUo7jJvHuTOz6tjH+ieSxctpFt112vbCA6O8GD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bqjXTZ83G94au9/j4eOqH12HyU1Xw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\nAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -135,13 +149,12 @@ } ], "source": [ - "# applying our Metric Learned algorithm\n", - "X = iris_data['data']\n", + "# applying our Metric Learning algorithm\n", + "X_lmnn = iris_data['data']\n", "lmnn = metric_learn.LMNN(k=5, learn_rate=1e-6)\n", - "lmnn.fit(X, Y)\n", - "X = lmnn.transform()\n", + "X_lmnn = lmnn.fit_transform(X, Y)\n", "\n", - "plot(X, Y)" + "plot(X_lmnn, Y)" ] }, { @@ -160,9 +173,9 @@ "outputs": [ { "data": { - "image/png": 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+8W8UwsSK/UEEpvLgwQN86/nRe8QkajZsyvbffib9wV0O7Ntr7mhClFiDBgxg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\n/wK+Z9SKa+woTwAAAABJRU5ErkJggg==\n", 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NjdkfEs2fB/1l9XAhJk0tRJ6RQmvYHj4Mp7xH5hmqkaLgbgNh9+9nGWdhYcHh4yfZtm0b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\nm8q6zmWY1bQY7783jBs3bmj92EIYihy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FKarQqBg4OjsjKyvLZjmReampqWirVcHRvqIPdarng7PnbfNlrSbk5uZCbzQi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\nsBUREfHY/wELLq4iUf9gXwAAAABJRU5ErkJggg==\n", 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RrZ1RFIVJQW3Iz8sjOzvb1KEJIYTRSbJtJE6cOEGP1q74utgCMLxjC8rLSpvt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\n6eLUsxUROUsVFRVcMelSskPK+dOF8USX7eaaKy8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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -228,9 +241,9 @@ "outputs": [ { "data": { - "image/png": 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O4ODgoBXr5+fH0kWLSEpK5M1Bg/H2zv7BHuL19J/3Rv4HD+AHRVFKAueBI8BR\nVVUv5WqGQu/MzMw4uH8f730wmlUzx1OlSmX27t6V6UKNpk2bEnz/PsHBwbi7u8szgdmUlpaGRqPJ\n1sER+UFoaCiqqlLUOn0/bmNDheK2JgQFBWnFFi/ixpXH8dQuakVyaho3I5MZmM3jIP8LJycnzl3y\n5dSpUyiKQr169bL88/b09OS7RdqLooTIqVdeIKUoijkwHBgHFFVV1fAl8dKzFeIFlixexMfjxpGU\nnEzDunX5fes2nJ2d9Z3Wf2ZnaU77MlZ0q+TIzbAEph8OZsfuvTRr1ixD3JEjR+jSsT0VnC15FJ1E\nXe/G/LZxc4728hYiv8nJphafAQ0BK+AicIz0nu2jl3xOiq0QWThy5Aj9u3bij05VKGljwecn7hBg\nX5Lte/bpO7X/7OTJk3Ro3ZKImDhMjQyY8NlkpkzRnuuE9A0czpw5g5OTEw0bNsz0pCghCrKcFNsL\nQAqwAzgMnFRV9aVPW0uxFSJrX375JSFbVjCjYfqjUmEJGmqsOU1kTPZPgdK3lJQUeTZUvPayvYPU\ns4PjWwBngJbAFUVRjuV+ikK8Ptzc3LgcnkDasy+kF0KicHdx0XNWOSOFVoisvUrPtjLgAzQm/fSf\nINKHkSe/5HPSsxUiCxqNhnYtmxMdeJtSthYcCHzK+s1bteY5Rd5KTU1l9+7dxMXF0blzZ0xMTPSd\nkihgcjKMvJ30FcjHgLOqqia/4gWl2ArxAikpKezYsYOIiAh8fHwoU6aMvlN6rcXGxuLh7kJCYiKG\nigKKwomzF3J0yIB4/WS72ObgglJsC6CrV68ycNBgbt+6haeXF7/+8jPlypXTd1pCaElNTaVO7Vrc\nuX4NRYF2XXuydu3abLfn5VkJngYyrVlxjAwUFp5+xJUIeBIRlYtZi8IuJ6f+iNdETEwMrVq3oU77\n3szdepSK3q1p1bqNnD4i8qU6tWry6LYf4xu4M7K2K9s2ruf999/PdnuPg+/TvIwtJoYGGCgKrcrY\nkZhQcBesifxFim0eU1WVq1evcubMGRISErKMmzRpEta2dphZWFLR04vQ0FCd53blyhVsnFxo0qUP\n1nb2tO47hDTFgNu3b+v82qLgSkxMZPzYMdSvXYMeXTpx9+7dPLnu7RvXeK+uG1XdLKlf3Jq+lZ34\nfe2v2W7Pxt6JMw9iny9aO/swFmNjmbMVuUOWD+ahlJQUuvXoyZmz57CytUVN1nBw/z48/rWLzurV\nq/lmwXdU7wPkAAAgAElEQVSMmbsM1+Il+WX25zT0aYz/9Ws6zc/e3p6wx49ITIjHzNyCuJgoIsNC\nsbOz0+l1RcE2sF8fgi8dp30pc24GPsKnQT2u+N3IdDvE3KQoCvHJGQ8OMDB44V47L3To6FE8y5Vm\nxB93MDMy4Gl8Clu378yNVIXIes5WUZQ/gSwnXVVV7fTChgvBnK2qqsyeM4dly1egGBjw0egPGDVy\nZLbbW7hwISvWbmDsgp8xMjZhy7JviQvyZ8eff2aIa9WqFcaupRgw5nMAIp6G8FFnH5Je0BPODaqq\nMmTYcI6dOkOlut5cOX6QLh3aMf+beTq9rii4EhISsLO1YU3X0pgYpg+UfXkmgjFfLqRnz546vXbP\nnj3ZuW0z/ao4EadJZdP1cL5duIiROfg3GhsbyxdffEF8fDxjx47V+iIsxMtkZ2/kvDn/Kh9bvHgx\nP678hWHTFpCSnMysyaOxt7Ojb9++2Wrv+g1/qjZshtGzoanaTdvw46Q/teJsbW25G3Tv+esnD4Iw\nMtL9cJaiKKxcvoxNmzbh7+/PsK5f07FjR51fVxRcf2+1mJyqYvKsU6lJScuTZ243bNjAqFGj2PTb\nGhQDwxwXWgArKyu+/PLLXMqwcImIiMDPzw93d3dKly6daUxMTAwjhw9lz9692NvZ8u33S2jbtm0e\nZ5o/yWrkF2javAV1Or9JDZ/mABzbsZlHl46yeeOGbLW3ZMkSFq9cxbjvVmFsasbGxXNIDQtm25bN\nGeKCg4Op6OmFZ+0GFClVlr2/r2LY0MEs+PbbHN+TELlt1DsjOLJ9Ey2Lm3IrMoVbGksu+F7F0tJS\n36mJXHL06FG6duqAm7UpDyPjee/9D5j+xSytuF7duxLqe4wBXrYER2lYcCGcQ8dOUqVKFT1krR/Z\nPvVHUZRywJeAJ/D8qAxVVTP/alOIWFlZEf4k5Pnr8CePsLa2znZ7I0aM4PDRY4zp7I2FpRXWlhbs\n27NbK65YsWL4Xb3C6NGjCb/tyzdzZ/P2229n+7pC6NL3i5eyqJIXRw8foPwbJfnl88lSaAsRVVXp\n1b0b71WzoWYRK6KTbPl46SLaduhI/fr1M8Tu/GsXP7QtjrWpIU4WxjQslsTevXtfq2KblVcZ6/kJ\nmALMB5oCg3lNVjFP/mwSrdu0JfRhECkpyZz8azPHjhzJdnuGhoasW7Oae/fukZCQQPny5TF+dlD7\nv3l4eLBly5ZsX0uIvGJgYMD7o0fz/ujR+k6lwEpISGD58uU8evgQn0aN8tXQa3x8POGRkdQskr6P\nt42pEZ7OFvj7+2sVW2srSx7HJWNtaoiqqjxJSMPW1lYfaec7r1I0zVVV3U/6kHOgqqpTgfa6TSt/\nqFOnDkePHMbL3ZaaJV05ffIklSpVylGbiqJQunRpvLy8siy0QojC4ciRI9SrVZ1yJT14f9Q7JCYm\nasVoNBqaNfJm7fzpBOxYzvABfZg3d44ess2chYUFrs5OnAyKASAsPpmrj+OoXLmyVuzXc+bx1alQ\n1lwJY86ZMOLNHOnTp09ep5wvvcp2jScAb2AjcAB4AHylqmqFl3yuwM/ZCiFEdl2/fp2G9eoyvIoN\nRW1MWHs9Bq/G7Vjx86oMcVu3bmXy+8OZ4e2Ioig8iUvmg91BxMYn5Juzfs+ePUuHtm2wNIKwmAQm\nff45H0+YmGnssWPH2LdvH46OjgwePBgrK6s8zla/sj1nC4wGLIAPgBlAM+Ct3E1PCCH+u5SUFM6e\nPYu1tXWmPa2/rVi+nMXfzUdRFN7/aBxvDRqk89x27txJw6IWNPSwAWBUdSPe37RJq9hGR0fjaGH4\n/GxfR3MjUlJTSU5OxtTUVOd5voo6depwN/A+d+7cwdXVFVdX1yxjvb298fb2zsPsCoaXFltVVc8C\nKIpiAHygqmqMzrMSue7evXu0aNmK6NhYypQsyZEjh+VEE5FvXbt2jV27dmFjY0OfPn0yXZh47949\n6lSvSkJCPKlpKiVKeHDl+k2tv9drVq9m6oSxjKhqiwpMHPsB5hYW9OrVS6f3YGFhQXTy/0f3IhNT\nMDcz04pr3LgxH74fz/H7hpR1MGPLzRgaezfMN4X2b5aWlnIoQw68dIxCUZTaiqJcAXxJP8v2sqIo\ntXSfmngV+/bto0IlT+wdHenctRvh4eFaMeHh4XhVrYajR1k6DnmfR+FReJQspYdsxessKiqKksWL\nYmNmhK2FCbNnz840bu/evTRpUJ9b65aw7ZsZ1K9dk+joaK24di2bU9PJkDXdy7GqWzmUqCf076f9\nDPyvPy2nX0UrqrlZUt3Nkr4VrFj984pcv79/69u3L8HJZiw6H8qW62F8dTqMKdNnaMWVKFGCHbt2\nszfajsknI7H0bMDvm7fqPD+Rt15lztYXeFdV1aPPXnsDi1VVfeFXHJmzzVxQUBBLli4lPi6eHj26\n52i45datW7xRrz7Dp82nZAUvtiz7FqKfsmfXXxnihg4dyu6DR5i98UD6Fncx0bzdvDp+165Svnz5\nnN6SEK/E1dEeJ4MkBlRz5n5UEisvPmHt+g107949Q1x1z4pMKm9J61LOAAzZc536Qz5g7NixGeIc\nLM341NuN8o7mAOy+HcmBcDOu376XIa5rx3YUeXyR1mXTtx3dcTOCCI96eVLQwsLC+P77hYQ9eUqb\n9u1p166dzq8p9Csnc7apfxdaAFVVjymKkpKr2b0mgoKCqF2nLrVbtMfGwZnO3brz0/JldOr0wp0v\ns3To0CFq+DSnesOmALw5bipDGlYgJSUlww4+sbGxWNjYPp8TMjW3wNDQkMjIyJzflMhXNBoNgYGB\nlClTJt8srvlbeGQkczqXxc7MCC8XC/xDE5g5c6ZWsY2IiKC8g8vz1xVsTQjL5CAOG1s7LjyMpbyj\nOWmqyrmHsRSroP20wMeffk77Nq2ISUolDdgZkMDuJZNy/f4y4+joyJQpU/PkWiJ/e5V/jYcVRflB\nUZQmiqI0VhRlMXBIUZSaiqLU1HWChcniJUuo3aIDA8ZOpdPgdxn6+RymZjKs9Krs7Ox4Enyfv0cQ\nHgffx9zCEkPDjJuxT5w4kUB/P7avWspdv8ssnToWYxNTatWS2YCCIC0tje3bt7N8+XKuXr2aZdyE\nTz7BytyMypUqYG1uyu+//56HWb6cgkJiyj8PDkjLdN1Ay1atmXY6gPAEDZefRPOL/1NatmqlFbdu\n0xa23Yziw10BvPPnXe7GwvoNG7Xi6tevz94Dh7Bp0A37ht05cPgoderUyd2bE+IlXmUY+eALfltV\nVbVZFp+TYeR/GT36Q56o5nQa/C4Ad/18+fWLj7nhl/UP0BfRaDQ0btoMjYEJxct5cnLXFqZPncLb\nI0Zoxa5atYr3P/yI1JRUzM3NOLh/3wtXbwrd2759Ox+OepuE+Hjq+zThtw0btPYUTktLo1unDly/\ncIqStqacexjLkmUrtBb3HDt2jJZNGzOzWXHKOZpz6F4US88/ITI2Pt8shKtQtgxRIUH09HIkIDKJ\nvXciOXLiFHXr1s0QFxcXxztDh/DH9u1YWZgz48uvGTJ0aKZthoSEsGbNGiwsLBg8eDBmmSxAEiIv\nZTWMLHsj56GjR4/StXtPhk6eg62DE6vnTKZnp/ZMmzY1220mJiayatUqHj9+TKNGjWjcuHHuJSwy\niIuLY/fu3SQnJ9OiRQscHR2z3dbJkydp6uNNn8qOFLUxYbVvKCUr1+LwseMZ4rZv387YEW/xZSNn\njAwU7oYnMu1kKOGR0c+nBQA+/fRTtq/8jpnNij9/r+/Gmxw+cZratWtnO8/clJqaSssWLfC9cBYT\nM3NWr1tPs2aZflcXosDKyd7IrsAsoIiqqm0VRfEE6quqqvvlfIWMj48PK5b9wNTpM4iPT6BPr55M\nnvx5jto0MzNjRCY9WfHqvvrqK1YuWggGCu+OGc/oTLYdDAsLo1G9urigwdzYgHGjEzh0/CRlypTJ\n9jV9SljTzTO9YHvYmjJ61ymtuMePH1PC1gQjg/R/uyXtTYmNiyc5OTlDj9XLy4tFkYnEaVKxNDEk\nKCoJTapK2bJls5WfLhgaGnLg4IsGysTLaDQali1bxt07t6lT9w169+6d4UuXyL9eZYHUz6Tvj/z3\nioKbwHpAim02dO7cmc6dO+s7jQItJCSEEydOYGNjQ5MmTXJ0nNvMmTOZM3MaX/hUIFVV+Wx8+orX\nfxfcr76YST1rlfmNvQCYfz6QCWM+YsO2P7J1XUVRMhwWndUYUL169fj4QQx3SphR0s6UjTciqF6l\nstbQcP/+/Vkwdw6jdlyjrIMZ157GM2ToUOzs7LKVn8h/UlNT6dCmFeF3ruJpb8Dna3/mzMnjfLNg\nob5TE6/gVeZsz6qqWkdRlIuqqtZ49t4lVVWrv+RzMowsct358+dp17IFNd1seRCdgFu5imzfvTfb\n85Il3Zz5rIY7vSoWAeCnK0EsuhnJzfsPMsT179kdn+ib9PMsCsCx4HC+uJvM8fMXs3Xds2fP4tOg\nHj0qOaRv5XcllHLV3+DAYe2DLjZs2MDbw4YSExdHjapV2LTtT4oXL55Jq7B8+XKuXLlC69at5TGT\nQubYsWMM7N6JeU1dMDRQiElKZcTO+zx4FCJfqvKRrIaRX2U1cpyiKI48+/KtKEo9ICqX8xPilYwc\nOpgv3ijO+tYVOdy9OqnBt/n555+z36CqYviPYTgjAyXTbmaDxk1ZeeMpEYnJJKaksuRqCA1yMD9e\np04d/ty5i7OxFqy7lYR3287sO3go09iePXsSFhlFfEIiZy5cyrLQAgwbNowFCxZIoS2EYmNjsbcw\nxvDZlIKViQGmxobExcXpOTPxKl5l/G0M8AdQRlGU44Az0EOnWQm9SUxMZN4333DD359qVaowevTo\nfHU6UfCDBzSonb6K2tBA4Q0nCwIDArLdXr+hIxg7fy4AqarKp0f8mThV+3GskaNGcfO6HxWWLQdU\nOnfowIxZX2X7ugAtW7bE/27gK8UqipKv/n8Qea9u3bo8jEvlr9uRVHe1YPe9WEqXLoO7u7u+UxOv\n4KU9W1VVLwCNgQbA24CXqqq+uk5MvLotW7YwZ84crl+/nmXMiRMnqOjphZW1DY2bNiU4OFgrJi0t\njfYdO/HHviOYl6jM2i3b6dWnL/lpOqBunTosufyANFXlcVwSG++FU+9fZ2r+F7NmzeKdj8Yx7fwD\nZl58xPjPpjBhwgStOAMDAxYsWkx0bCwRUdGs37xFHjPRkdTUVGZOn0adql40a1ifw4cP6zulfMHB\nwYH9h45wzdCDL87FklayFjt27813m5eIzGU5Z6soSh0gSFXVkGevBwLdgUBgqqqq2pvwZvy8zNnq\nWFpaGrVq1+H23bu4FPUg+O4t5s2ZzXvvvZch7tGjR1SuWpW3JsyiUu367PntJ/xPHuDyxQsZVjJe\nunSJDl268dWGAxgaGZGsSWJMx4acOXWC0qVL5/XtZerJkyd0ad+Wa35+JKemMWHCBCZPnabvtF57\nJ0+e5NSpUxQpUoQePXpobazyX3w2cQJ71/3MjDdKEByTyCfH77HvyFGqVauWixkLoRvZmbP9AdA8\n+3Aj4CtgFenztT/qIknx38ydO5egRyF8++cJZq7ewejZSxn/iXav7PTp05T1qk6dZm2xsrGj6/AP\nuR8YyNOnTzPEJSUlYWZugcGzH5RGxiaYmJqi0Wjy5H5ehYuLC8fPnOPu/WDCI6Ok0GZTSkoKISEh\npKamZhkTHR3NO8OHUrdGVfr16sGjR48yjfth6RJ6tG+L/5pFfDPhQ7p2aEdaWlqmsa9i7a+rWNio\nLPWK2NOjgjtvVXRh44YN2W5PiPzgRXO2hv/ovfYGflRVdROwSVGUS7pPLX/w9fVl9Zo1GBoaMnjQ\noHy1cf+lS5fwrFUfC6v048eq1W9MYkI8iYmJGYY47e3teRx8n5RkDUbGJkQ8DUGTlKR1bFn16tUx\nUlR+X/Q1NRu14tTurbi7uVKuXLk8va+XURQlRxtKFFaqqrJz504CAwOpWbMm9erVyzRu37599OvV\nAzUlFUMTY9Zv2qK1GYqqqnRq1waTp7fpWtycizeO0qhhPS5fvY6FhcXzuNTUVMZ+NIajfWpTxs6S\nlLQ0mmy6xN69e2ndunW27sPExITopP9vvx6VnIqdDNmLAu5FPVtDRVH+LsbNgQP/+L3sP9iYD6Sk\npDBh4qeULF2GCp5erFmzJtO4U6dO0aRpM+5EJOH3KIr6DRty7dq1PM42a02aNOHS8YOEP0nvcRz+\ncwNW1jZac4k+Pj5Uq+LFV+/0Yd23M/lieE+mTJ2Cubl5hjhTU1MO7t+HaXwYmxdMw9E4jT27/srR\nkKDIubt379K/Vw+aN6zPtMmTSU5O1opRVZWhA9/kkxGDObfiG7q3a8P3332nFRceHk7fHt35qVl5\n7gxtyJJGpenVtQsxMRmPqQ4KCuKKry8jazjg5WLBgMoOmCTHc+bMmQxxCQkJpKWlUdo2vQAbGRhQ\nzsGSsLCwbN/vJ59NZsj+Gyy7fJ/Jx2+zMziWwYMHZ7s9kbe2bNnC28OG8unEiVqjZ6+zFxXNdaQf\nQhAKJAB/H7FXlgL+6M+06TPYvvcA785ZRmxkBB+Nex8XFxdatmyZIW7mrC/p8e4nNO2afkampY0d\nX8+Zy6qff9JH2lpGjBjBH9t38GFHbyytbUhKTOC3tdpfHAwMDNi8cQPr168nMDCQ0QNX0Lx580zb\ndHd3Z/26dbpOXbyi0NBQGjeox6Cy9nR3seb7tSsIDrrPsp9+zhB3+vRpDu/5i+M9a2JhbEhgtaLU\n/+RjhgwblqEn6u/vTwk7S3yKOwDQvIQTzpbB3L59mxo1ajyPMzY2JiUtjZQ0FUMDhTRVJSklTWsD\nESsrK6p4VeKL0/f4sKYHZ0OiOHI/lLk5WLQ2eMgQnF1c+GPzRqxsbDmxYQxFixbNdnsi7yyY/w1z\nv5hG25JmXI5TqbvmVy5cvoK9vb2+U9O7LIutqqpfKIqyH3AH9vxjtZMB8H5eJKcrm7dsoe8nsyhW\nOn1IuHW/4WzZuk2r2MbFxWHn9P+jvuycXAh5cDNPc32Z7X9s4969e9y+fZv69etjZWWVaZyhoSH9\n+vXL4+wKjpSU9GHLF+1GdfToUb6bO5uU5GQGvT0yT3YC++uvv6jpZMH4OqUAqOtuR5nla1iybHmG\nXJ88eUJZB2ssjNNHIUrYmmNpakxERESGYlu0aFECwqN5GJtIESsz7kcn8CAihiJFimS4rru7O61b\ntebr00fxLmKCb2gKTkVL8MYbb2jluGX7Tgb06kGZ5Uco4uLMuo2bKVWqVI7uu0OHDnTo0CFHbbzO\nUlNTWb58Odd8ffGqWpVhw4blyQjVzBnTmVrfkeK2pgDMOxvG+vXreeedd3R+7fzuhWvGVVU9parq\nFlVV4/7x3s1njwMVWFZWVoSF/H+xR8Tjh1hbaxepXj17sGHRV9y+epEbF8+wbdm39OnVMy9TfSWl\nSpWiZcuWWRZakbXk5GSGDx6EpYU5VhYWvD/ynUwXDZ08eZLuHdvjE3eXDupD3h3yVp4cYWdoaEhy\n6v9X9aeoaSgoWvvh1qpViwuPwjkQGEpyahpLLt3H3sFR6xlMDw8PJkz6nKabLtJvrz/NN11kxqxZ\nuLq6al17zfrf6TVqLA/d61C/xxD2HTqS6bO+RYoU4cCxEyQkabgT9IAWLVrk0t2L7FBVlb49e7Bk\n5qfEntjA4pmf0r9Przx5hC9Jk4y16f+LupWRQmJios6vWxC8lqf+7N27l959+9G0W39iIyPwPbaP\ns2dOU6xYsQxxqqryzfz5/LBsOYYGhnz04QeMGD5cT1kLXZg+ZQqH1ixnVatKpKoqfXf50ePdMYwZ\nNz5D3NCBAyh//zwja5QAYMedJywPN2X/sZM6zS8yMpKaVbzoWMSc6o6WLPV7TP2OPfh24fdasQcO\nHGDIm/0JCnlMdU9Pftu8JcvFbVeuXOHmzZtUrFgRLy8vnd6DyFs3btygcf06LGpVBBNDAzSpaYzc\n/ZATZy/ofLHj8CGDuXzgT3pXsCI4WsMvfjGcPqf76+YnOdmusdBp2bIle3fvoqKzJT5Vy3H+3Fmt\nQgvpf2hjx4zh5nU/rl+7IoW2EDp6YB/vVnbDxtQIezNj3vZ05cj+fVpxqgr//teTF18m7ezsOH7m\nHMnVmvKnUoR+oz/hmwXaC58AmjVrRsCDRyQnp3D+ytUX/oCrUqUK3bt3l0JbCMXHx2NlaoKJYfqP\ndxNDA6zMjPNkW8fvlyzFp2t/fgow4oLiwc7de1+rQvsir2XPVoi/vdmnFx5Bl/mkbvoc4+QTd0iq\n2pgly5ZniDtx4gRd2rXh8zoeWBoZMuVMIHMX/0Dv3r31kbb4j+7du8f69etRFIU+ffpQokQJfaek\nM4mJiVT1rEhd20QaFLXgeHA852LM8fW7gampqb7TK/Tk8HghMhEQEECj+m9QzcGclDQV/9gUjp85\nl+l+s0eOHHm+QOqtEe/QtWtXPWQs/qtr167R1LshXUo5oAJ/BERw+MRJKlasqO/UdCYoKIh3hg3B\nz+8aXl6VWbJsxQsPsBC5R4qtEFkICwtj165dKIpCu3bt5LgyHTp79iwHDx7EycmJfv365cn+0n17\ndKPK0+u8VzO9Nzv/3D3uFKvOqnXrdX5t8fqROVshsuDo6Ej//v3p16+fFNp/SU5OJigo6IUrSkND\nQ6lVtTIOVuYUd3Nm9+7dmcatW7eOjq1acH/Dj6z7ajJNvRvkyUrVyPAwStn+fwOXUrbmREW8cGt3\nIXKdFFshXjOqqrJr1y4WLFjAvn3ai8H+duLECYq7u1Gziieuzo5s3rw507iaVb0wCg/kk/outHBX\n6NKhHf7+/lpx4z/8gHVtPJnlXZaN7bwwj3qSJ49PdejWg68uBHMzPJYbYbHMvviA9l3llFCRt6TY\nvoCqqkyfMYPiJUpSsnQZ5n/7bb46bk6Ifzp37hwVS3pQxN6GutWr8eTJk0zjxoz+gHcG9mXfj18y\npG8PJn7ysVZMUlISXTt2YLiXBSvaFWNKQxeGDX5L62jG8PBwHoQ84eOGRajkbEHXSo5UcDJn6dKl\nWm2GRUZR3sESSB9qK2trSni47nuYo959jx7DR9F1lz899tyk/6gPGT5ihM6vK8Q/SbF9gQXffcev\nv23kg3kreHvWYr5duJjVq1frOy0htDx8+JBm3g3o4GLEj80r4BYXQq3Knlqn79y5c4dVP//ErEbO\nDK9mz6xGLixZ9L1WEQ0KCsKQVOoUTd8opayDGaUcLfHz88sQZ2JiAkBiSvqXUFVViU9Oy3QutnXz\n5kw6cYfwRA0nHkSw9fZTmjZtmmt/BllRFIXPp0wl6PFT7oc8YeKkSVqbggiha1JsX2Drtj/oNnIc\nxcpUoGQFLzoMeZ/NW7fpOy2hR/Hx8URGRr4w5uzZs3Tt2I6WTXxYsXx5noyGrFy5kjJ25kxuWJ5G\nxR35qW01QiMitIZznz59iouNOVYm6bv82Jga4mhtrnVwgKurKzGJydyPSgIgMiGFwLBYPDw8MsRZ\nWVlRo2pVJu2/z547kSw4/YiQuFTGjh2rleNPa9YSXdSTar+eZtSJIJavWi1n1IrXRoE+vUfXbGxs\nePow6Pnr0IdBsoCmEIqIiGDPnj0oikLr1q2xtbXViklJSaF+7Zpc9L0KQKniRTl7+YrW34erV6/S\nukUzepe3xN7ciJmfjiMuNpYPPvxQp/dgZGREUkoaqqqiKArJaSpp6v97nn/z9PQkIimNwwFR1C9u\nzZHAGBJVQ62NB6ytrVm8ZCmj3xtFBRdrbofG8uHY8Zk+LnPmwkXeGjiQPceP4OxWiSsH1+Pk5KQV\nZ29vz+btO3L3xoUoIOTRnxe4cOECLVq1okHbbqSkJHP+wE6OHz2ar860FTlz//59GtarSzGL9OL0\nJNmYk2fO4ebmliGub+9eXD2wi+096mBmZMCA7ZeIc/LgxNnzGeI+Hj+ewL9+pn/V9GLjH5rAyrsK\n12/f0+l9REZGUrpYEdp42NOshCMrfIOIMLXlxt0ArdiLFy/Sv1cPbt0LoELZMqzbsIkqVapk2u6d\nO3e4du0apUuXpnLlyjq9ByEKA3n0Jxtq1qzJqRMnqFuuGD6Vy3LuzBkptIXMpx+Pw8dZZWJdBya9\n4UBNm2Smfv6ZVtzF0yd5t2YJ7M2MMTcy5KPapbh3S/sEKEVR+OdXzLRnPU1ds7Oz45LfDQIs3Zl9\nNQyn6vW45Hcj09gaNWrgd+sOmuQUrt64mWWhBShTpgydOnWSQitEDskw8kuUL1+eyZMn6zsNoSMP\ngoNoZP//odaydkb4BQVqxdk7uXDq4RP6eaafq3rmYSSWVtZacYOHDKHBD0uxNgnH3syI9Tdj+XTG\nl7q7gX/w8PDgxNlzrxwvi4SEyDtSbMVrrVHT5uxYtRRPZwvSVJVdgYn0f6+5Vtyqdb9Ru2oVroed\nxtLYkNOPovhzl/bmDRUrVuTgkaPMnjWTWzHRfL1gIP3698+LWxFC5GMyZytea8nJyQwdNJDfft8A\nKAx+ayCLf/gx04O2Q0JCmDdvHhqNhlGjRlGhQoW8T1gIka/J3shCvEBSUhKKomit3hWvJjk5meDg\nYJycnLC21h5eF+J1IQukhHgBU1NTKbSZ2LdvH3PnzmXz5s1ZPi98+fJlSnkUo0Gt6ri7urB0yZI8\nzlKI/E96tkKITE2fOoVl339LLTcz/MKTqdekNb+sWZthYZWqqpTyKEa34ipNStryKEbDZ0efsP/I\ncapWrarH7IXQj6x6trJASoh8LjU1la1btxISEkKDBg2oUaOGzq8ZHh7O7Nlfs7h1cezM0zfM+HD3\nTi5evEjNmjWfx8XExPDk6VOa+JQBwN3ahCpuVvj6+kqxfU2FhoZy4cIFHB0dqVmzpqx6f0aGkYXQ\ngeDgYC5cuJDjdlJTU+ncrg1fj32PCyvn06ZpY9bkwf7ckZGRWJuZYmee/n3c1MgANxvtbR2tra0x\nN1PrVw4AABYOSURBVDPH72k8ALGaVPyfxlO6dGmd5yjynzNnzlCpfFkmvj2QTq2bMbB/Xzm85RkZ\nRhYiF6WkpODqaE9UTCyKAiaGBuw+cBhvb+9stffnn38y9b3h7O1SFSMDA66FxtBumy/hUdE67TGk\npKRQqVwZGjtqaFHKmouP4ljpF8f1m7e1tmLctWsX/Xr3pIyjJfcj4hjw1hDmfbtAZ7mJ/MuzXBk6\nuibS0MOGpJQ0PjsWyqyFP9K9e3d9p5ZnZBhZiCzs2LGD5YsWoigKoz4ay//au/O4rqr8j+Ovw6Js\nqbgAoimKpYa7SJkbKu41qOVktu8z7WW2/KysbGpq+k2LWZZZ0aaNv1IbHXdcMk0NXDJNEDcQ0VQW\nZf/yvb8/YExHnRK9XuD7fv6jXM733M/Xh1/enHPuPTcuLq7SfUVHR1PLXcyHw1txUS1vJq/LYmhc\nP/KKSirV38GDB2kdHIiPV/kkVJv6QRwrKKS0tNTWC7p8fHxYsCSRMX+8ls+/2UqLZk2Zt2DWafc8\nHjx4MFu2bWfz5s2Eh4dr+tiD7U7PoHOn5kD5bEjb+j7s3LnT4aqqBk0ji0ebO3cud900hqHuTAa6\nMrhh1EiWLl1a6f52pm5ncKt61PPzwdvLMKJtfVxlZZXur0ePHizZ/QvrMnModrl5ad0uLu/S6YJc\nOR0ZGcnapA0UFhezNTWNmJiYM7YNDw9n8ODBCloP16FdFIt3HgXKnxSVlFV0Qa4xqA40jSwXRFlZ\n2Wk3inDaVQP6M9LnENe2aQxAwpYMVgVF8uWsyj1KMTQ0hGY+BTzduynGGBbtyObjjb9wrKTygTtn\nzhzuvesODh7JoUdMNF/839eEh4dXuj8Ru6SlpTE4rh9Hc7M5WljCE088wbPPPe90WReUppHFEbt3\n7+a6EfH8sPlHwho04IOETxgyZIjTZR1X/uCAX38ptM7xwQHffbeaDm1b8+D8XQT7+bDtUCH3P/TI\nOdUYHx9PfHz8OdcmYrfIyEi2paaRnl7+ONLg4GCnS6oyNLIV21iWRaeotoxsAA90aca6/bnctGgb\na5M3VpmrVefNm8edN47huZhmuCyLF9btZcasOfTt27fSfWZlZTF69GiOHj3K+PHjGTly5HmsWESq\nMm3XKBdcTk4OFzcOI+OePsdHZDcvSWH0+JcYPXq0w9X9av78+eUXSHkZ7n14LP369XO6JBGppjSN\nLBdcUFAQljGk5RTQKjiQYpeblMNHCQkJcbq0kwwZMqRKTW2LSM2jsBXb+Pj48OZbkxj2+FgGRzQk\n+ZdjdLyy9zlN0YqIVEeaRhbbJSUlsW7dOpo2bcqwYcPw8tIdZ3Zwu93Mnj2bPXv20LVrV3r37u10\nSSIeR2u2IjWYZVmM+eMokr9bRptgX9btL+Cxp55h7LhxTpcm4lEUtiIXSH5+PrNnz6agoIABAwYQ\nERFh+zlXr17N6Pih/L1fKLW8vThUUMoDCzM4eOgwgYGBtp9fRMrpebYi5ygxMZE/DBrA0P6xfPnl\nl6dtk5eXx5XduvLR80+yfPJfienckbVr19pe26FDhwiv608t7/KPdAN/H2r7epObm2v7uUXkt+kC\nKamxsrKyWLJkCX5+fgwdOpSAgIBK9/Xtt99y/cjhvHB5c/z9vXn8vj9RVlbGmDFjTmo3efJkWnsV\nMnXoZRhjmPlzIGPvv5dV65PO9e38V926dSP1UD7r9/nQPjSA+TtyCQ0NIywszNbzisjvo5Gt1Ehb\ntmyhc7sovnrlGd5+6mGu6Nr5nEZ5H70/hcc6N+H6y5ow/JIwXu3Rgg/efuuUdgcy99E+2O/4fcXt\nG9XhwMGDlT7v79W4cWNm/3Me0/cYbpq9k62mMf9atEQXo4lUEfokSo007qH7GdcxjIS41swZFkV7\n32L+/r+vVbo/Ywxl7l+vQXC5LYzXqVsn9o0bQELKL+zOLaCgtIxXk9OJ7XthNsno1asXO3bvpbik\nlLVJG2jRosUFOa+I/DZNI0uNtD8zky6dGwDlQdmlYQDbM9Ir3d899z/IsAFx+Hp7EeDjzcQf9jJ5\n2sentIuPjyc15Ql6THiO4tJS4ocN5fW3J1f6vCJSM2hkKzVSzz6xTNqUSbHLzS8FxSSkHKJnbOVH\nmDExMXyzYCHJDdqyPKAFH3w2nREjRpy27WPjniAvv4DComJmzv6GoKCgSp9XzsztdvOXFyfSJjKC\njpe1ZsaMGU6XJHJGuvVHaqT8/Hxuvv465s5fiDGGx8Y+ysSXXtZTc2qQV15+mY/e+ht3dahDQamb\ntzdk8+mXXzFw4ECnSxMPpvtsxSMVFxfj7e2Nj49WTCojJyeHpKQkoqKiqtyVzV3aX8ao0HyiQsqv\nMp+bcgSrwxCmfvixs4WJR9N9tuKRateuraCtpEmTJhHWsAHXXDWIZk3CeeiBB5wu6SSBAYHkFLmO\nf51TbBEYdJGDFYmcmUa2InKKnJwcwho24Mle4XRpHMTu7CIeX7KXZStX0b17d6fLA2Dx4sWMvnYE\nQ5r7k18G3+13sWb9D0RGRjpdmngwjWxF5HdLSkrCz9fQpXH5xV0RwX5E1KtNYmKiw5X9asCAAcxf\nnEho/xto+4c7WJuUrKCVKkvzayJnoaCggLKyMi66qGZPV0ZFRVFQ4mZ3dhERwX4cLiglPbeY6Oho\np0s7SUxMDDExMU6XIfKbNLIVj3fo0CE++eQTPv30U7Kzs0/bxu12c8+dd1C/Xj1CGjZg+FVDKSws\nvMCVXjhhYWH8+d77eHzJXh5fvIf7/7WLvv3jGDRokNOliVRLWrOVGuvzzz5jesKH+PkHMPap8add\na9y1axe9u19OlwYBlFkWP+WV8t26HwgPDz+p3VtvvMHU1yYyvnsDfL0MbyYdocuQ63hj0tsX6u04\nYs2aNSQmJhIdHa2gFfkddOuPeJRpH3zAS//zOBNimpFTVMrE9eksSFxG165dT2p343WjaLHvR8Z1\niwBgwuo0Ctv3YsoHH57U7rprhtM4cx39WtQFYMvBAuYcqcfa5E0X5P2ISPWgC6TEFi6X67cbOeD9\nt9/k9V6RDL8kjFvbX8y97cL4eNoHp7Q7kJlJx4a/Pu+1U8NAsvbtO6Vd8xaRbM928e9fILcdLubi\nZs3tewMiUqMobKVStmzZQrtLW1G7di0imjRm1apVTpd0EoPhxHkVN5x296jecQN4+8f95BaXcqSo\nhHd/OkCfuFN3IHpq/NOkU49nvzvMi98fYfkBeO2NU5/6IyJyOppG9hA5OTm8+MLz7E7bwRU9e/Lw\nI2MrvdlDSUkJl7ZozriohoxpG86SPYe4b0UaP6Wk0qhRo/NceeV8kpDAs489zDPRF5NdVMorG/ax\nZMW3dOzY8aR2LpeL++65m4RPPwPgnrvv4vW3Jp320XSFhYUsXboUl8tFbGws9erVuyDvRUSqD63Z\nerCioiJiunQi3H2Ey+r7sCyjhI59BvHxp59Xqr+UlBQG9ezOphu6HT82dO5PvPBeAv36XZjHyf0e\nM2fOZEbCh9T29+eRx5+iW7duZ2xbVlYGgLe394UqT0RqoDOFre6z9QArVqzAOnqYP/dsgDGGK5q6\nuXXm//Hm2+9Qt27ds+6vYcOGHD5WQOaxIsKD/MgrdrHzcB4hISE2VF95o0aNYtSoUb+rrUJWROyk\nsPUALpcLX2+v42uW3sbgZczx0dzZql+/Ps88O4GBr71Cv2YNWJOZw6jrb6Bdu3bns2wRkRpD08ge\nIC8vjw5Rbelev4yohrVYtKeQOq06M3fBonPqd/Xq1WzevJlWrVrRv39/Pb5ORDye1mw9XEZGBo89\n8hC7d6ZxxZU9eemVVwkICHC6LBGRGkVhKyIiYjNtaiEe6eDBg+Tl5Tldhoh4OIWt1EhZWVk0C2tE\nk8Zh1K9Xj+7RXXG73U6XJSIeSmErNdKgvn2IruND1n1x7Lg7luxd27nrzjudLktEPJTCVmqkfel7\neSg6Al9vL+r71+Kujs1Yv/pbp8sSEQ+lsPUwnjKVGhAQyNrMHAAsy+K7jGwahoX/xqtEROyhsPUQ\nS5cupXl4GL6+PnTr2J60tDSnS7LVOx9+zPOrU4n/+gf6TP+eFZm5fPbFdKfLEhEPpVt/PEB6ejpd\n2kcxrX9rejQJ5r3N6Xy+r4QtKTtq9EYU27ZtY+rUqQQGBjJ27Fg9OEBEbKf7bD3YrFmzmPr0o8wY\n2Pr4sZbTVvFTahqhoaEOViZV2eHDh3n4vj+zISmJlpGRvPnue7Ro0cLpskSqNN1n68FCQkJIPZxH\noat8L+TduQUUlboq9RAC8Qxut5urBg0gIDWJKTGhdMnfS//ePTl69KjTpYlUS3oQgQe48sor6d53\nAANmLSM69CIW7jrEq397DT8/P6dLkyoqPT2dXWk7mH9Ld7yMoUNIHRbu+5H169dXqccoilQXClsP\nYIwh4YvpzJs3jz179nBPdDSXX36502VJFebn50dRiYuC0jKCavlQ5rbILSrB39/f6dJEqiWt2YrI\nad1xy81sXbmYayLqsWz/MYpCmrNo2Qo9+1fkv9AFUuJxMjIyWLRoEbVr1yY+Pp6goCCnS6pW3G43\n77//PhvWryWydRsefPAhLT2I/AaFrXiUTZs2MbBvLLEXB5NT5CLD7cuqdT8QHBzsdGkiUoMpbMWj\nDIrtzTDfI9zarikA9y/bTvOrxjDxxb84XJmI1GS69UfOSmlpqdMlnJMDB7Lo0Oii4193rO/Pgcx9\nDlYkIp5MYSsnWb16NS2bNsHPrzZtWkawYcMGp0uqlD794vj7hn3kl7rIPFbEtJ8PEhs30OmyRMRD\naRpZjsvOzqZNZEve7NmCwS0b8dX2/UxI3k/q7r3V7paPwsJC7rj5Rr6a8w0+3t48+eSTPP3shBq9\nPaWIOO9M08i6z1aO27p1K83rBjA0MgSAUW3CeW1zFjt27KB9+/YOV3d2/P39+WLmV5SVleHl5aWQ\nFRFHKWzPk40bN/LOu1Modbm4/dZb6NWrl9MlnbXQ0FD2ZOeRXVRKsJ8vB/KLycrNJyQkxOnSKk33\nhJ7KsixmzpzJ9u3biYqKYsSIEfplRMRmWrM9D5KTk+nXP46jfvVxN2jG8JHXsGjRIqfLOmutWrXi\ntrvupt/XG7l/+Q7iZm1k3BNP6mEFVUBGRgYrV66koKDgnPqxLIu7b7+Nl8c+QM7cBCY88Cceuu/e\n81SliJyJ1mzPg1tuu52y4CYMu+keAFYvmM3Py+eyeOEChyurnOXLl5OSkkJUVBQ9evRwuhyPd+2I\n4XzzzTf4+3rhcsMXM78iPj6+Un2lpKTQ5/JuJN/QjUBfH3KLS+n82VqSt2ylWbNm57lyEc+jNVsb\nlZaUEBDw6+5EfgFBFJeUOFjRuYmNjSU2NtbpMgRISEhg4b/m8u5VLWkU6MuiHTncOHoURwsr9/8r\nOzubsDoBBPqWf/Tr1valUVAAOTk5ClsRG2ka+Ty45eabmDP1ddYvW8Cm1cuZ/voL3H7LzU6XJTVA\nYmIiXRsH0ijQF4C4yLrkF5Vy7NixSvXXrl07jpRaTNucwS8FxUzZuJcS71pceuml57NsEfkPCtvz\nYNCgQUx9bwrrZn/Kii+m8PyzT3Prrbc6XZbUAB06dOCnXwopKC1/FvHmAwXU9vGq9D7PgYGBLFi6\njJm5teg2/Qf+WRDIgsRl2vNYxGZasxWpwtxuN107tGfnju00vqgWu3OKeemVv/Hoo486XZqInIb2\nRhapxv7xj3+QmprK1VdfTYcOHZwuR0TOQGErIiJiMz2IQERExCEKWxEREZspbEVERGymsBUREbGZ\nwlZERMRmClsRERGbKWxFRERsprAVERGxmcJWRETEZgpbERERmylsRUREbKawFRERsZnCVkRExGYK\nWxEREZspbEVERGymsBUREbGZwlZERMRmClsRERGbKWxFRERsprAVERGxmcJWRETEZgpbERERmyls\n5RSWZZGfn49lWU6XIiJSIyhs5SQrV66kaWgIDYLr0fLiJqxfv97pkkREqj1j1+jFGGNpZFS9HDly\nhDaRLZkS24q4iIbMSc3iyXUZpO7eS0BAgNPliYhUecYYLMsy/3lcI1s5btu2bUTUCyQuoiEA8ZeE\nUcfXi7S0NIcrExGp3hS2clxYWBi7j+RxuLAEgMxjRezPPUZoaKjDlYmIVG8+ThcgVUdkZCR/uv8B\nYt9/lyvC67Mq/TBPPzOBkJAQp0sTEanWtGYrp1izZg0pKSlERUURHR3tdDkiItXGmdZsFbYiIiLn\niS6QEhERcYjCVkRExGYKWxEREZspbEVERGymsBUREbGZwlZERMRmClsRERGbKWxFRERsprAVERGx\nmcJWRETEZgpbERERmylsRUREbKawFRERsZnCVkRExGYKWxEREZspbEVERGymsBUREbGZwlZERMRm\nClsRERGbKWxFRERsprAVERGxmY+dnRtj7OxeRESkWjCWZTldg4iISI2maWQRERGbKWxFRERsprAV\nERGxmcJWxCbGmPHGmC3GmE3GmGRjTLfz3H8fY8w/f+/x83C+eGNMmxO+XmaM6XK+zyNSE9l6NbKI\npzLGXAEMBTpZluUyxtQHatlwqjNd4WjHlY/DgbnAzzb0LVKjaWQrYo/GwCHLslwAlmUdsSwrC8AY\n08UYs9wYs94YM98YE1pxfJkx5g1jzAZjzGZjTHTF8W7GmNXGmCRjzCpjzCW/twhjTIAxZpox5vuK\n119dcfwWY8xXFeffbox55YTX3FFx7HtjzPvGmEnGmO7AH4BXK0bpLSua/9EYs9YY87Mxpsf5+IcT\nqYkUtiL2WAQ0qwihycaY3gDGGB9gEnCNZVndgI+Al054nb9lWZ2B+yq+B7AN6GlZVldgAvDyWdQx\nHlhqWdYVQD/gNWOMf8X3OgKjgA7AdcaYJsaYxsDTQAzQA2gDWJZlrQG+AcZZltXFsqydFX14W5Z1\nOfAI8NxZ1CXiUTSNLGIDy7LyK9Yze1EecjOMMU8CSUA7YLEp3/XFC8g84aXTK17/rTHmImNMHaAO\n8EnFiNbi7D63A4GrjTHjKr6uBTSr+PtSy7KOARhjfgKaA42A5ZZl5VYcnwn8t5H01xV/JlW8XkRO\nQ2ErYhOrfMeYlcBKY8yPwM1AMrDFsqwzTbn+51qrBUwEEi3LGmmMaQ4sO4syDOWj6NSTDpavKRef\ncMjNrz8Pzmbrt3/3UYZ+noickaaRRWxgjLnUGNPqhEOdgD3AdqBRRdhhjPExxlx2QrvrKo73BHIt\nyzoK1AX2VXz/trMsZSHw4Al1dfqN9uuB3saYuhVT3tec8L2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ODz78KE/yu3fvHu71mwJgYGBAtXpN8L13L0+uLYQQ/0+Krchg9+7dODg5Y2xigr2jE9u3\nb8807o0aHpy9epMm3QcTrTGiYuUqxMfHZ4hRVZX+Awcyas4Sxi9ex5z1B9m0dRtHjx7V+eeoVasW\nx7b/gSYtjcSEeE7t3Urd2rV1fl0hhMiMFFvxTGRkJD169abb2x+y5MAFerw3nr79+hMWFpYh7t69\ne9zz9eXTZRto1WMAH3y9DFMLK5YvX54hLiEhgadPnlC1TgMALKxtqFC9Nvfv39f5Z1k4/2uSHgcz\ntl0d3m9fF48qFRk9erTOryuEEJmRYiue2bdvH9Z2DrTpNRgrGzta9RiAnVMR9uzZkyEuJiYGQ0ND\nTEzNgPRpWnMra607WwsLC0qULMXxXZsBCA8O5NqZ49SoUUPnn8XOzo5jRw5z5dJF7vv6smbVrxga\nGur8ukIIkRkptuKZEiVKEPM0kviYaAAS4mKJioygePHiGeKqV6+OlbU1S2d+wr3rl9i64jtCHtxn\n0KBBWmNu3byJncu/4cNO9ZnSty0zpn+aZ9udFEWhePHiODs758n1CpKbN2/y559/cvv27Sxj7ty5\nQ63q7pgYG1OpXBnOnDmThxkKUbjIamSRQc3adQgOi6BO87ZcOLofZwc7rly6qBUXEBBA2/YdCAkN\nxcbamnW/raFx48aZjpmSkkJgYCBOTk7Y2Njo+iOIl/hmwQK+/HwGFZytuRMewxdz5vLeqIxT7Ckp\nKVQqV4Y2Lmm0LmODT0gsP1+P49bdezg6OuopcyHyP9n6I7JFo9Ewbdo0fHx88PDwYM6cORgYyASI\nPu3Zs4dRI4YTGhFB4/qerFm/EVdX1xyNFRgYSPWqlZnf0g1nS2NCY5MZfygEX78HGWYAfH19aepZ\nm5/aFn32tRmnIpm/Yh2tWrV65c8kRGGVVbGV3sgiAwMDA2bPnq3vNMTf7ty5w+C+ffi1TWVqulRl\n3vkH9PHqxtFTp3M0XmBgIEXtLHG2TO+m5WplgpO1OcHBwRmKrYODA9EJSTxNSMXO3IjEVA2hUQly\nVytEDsktixD5mLe3N63LONOkhANWJkbMqF+WU+fPk5ycnKPxKlasSEh0AjfD0xezXQmNIyoxlbJl\ny2aIc3BwYOLESUw5HsbPl58w9Vg4Hbp0y5PFbUIURi+9s1UUxRToAZR+Pl5V1c91l5YQAsDR0ZG7\nT+JI06gYGij4Po3D3NQ0x32enZycWLd+I/379MaQSFQDAzZs3oq1tbVW7KczPqNRk6ZcvnyZ4eXK\n0blzZxRFa3ZMCJENL31mqyjKXiAK8AHS/vm6qqoLXvI+eWYrcl1ERAQNGjXG388PQyMj+vTqyapV\nq/Sdls6kpqbSqW0bov1uU93Bgu33wpm94BuGDhv2SuMmJycTFhaGi4uLHNAgRC7K8QIpRVGuqarq\nnoMLSrEVqKrKL7/8wtHjxylWtCgTxo/H3j7nZ/hWe6M6Zo6uvDNjAZFhIcx+tx/TJk9kwoQJuZh1\n/pKamsrGjRsJCQmhcePG1KtXT98pCSGy8CrFdhnwvaqqV//jBaXYFlCHDh3C29ubRo0aZbny1N/f\nnwGDBnPpwgVKlCrFqpW/4OnpqRU3YeIktu7cQ/PuA/C7cYmHNy/jc+4slpaWOcrN0tqGWb/twq1k\nGQC2LF9E4EVvTp86laPxRMGn0WgAZNW8yBf+80EEiqJcVRTlCtAYuKAoym1FUa4893VRCA0cNJiO\nnbuwdsufdOrSlb59+2nFaDQa2nXoSKmajfhuz1naDxtHx86dtdo6pqamsmjRt3zy/Wpadu/PsKlz\nMbdzYvfu3TnOz9jEhGC/u89eP/S9jcMr3CmLguvp06dULFsKYyNDzIyN6Ni+nb5TEiJLL1og1SnP\nshA5tnDhQqZ/NpOkxAQcnZzZv3dPjo+xu3btGhs3bmTuhgO4lChNWFAAE3q15sKFCxm6PgUHBxMe\nEUGnIaNQFIV6rTpwbOs6zp8/T4cOHZ7FpaWloaoqZubpZ8gqioKFlXWOV9ICfDplMlOnjKVRBy8e\nhwThe/UCN679p0kXUUi0bNYE68TH/Na9ArHJaUz96xAff/wxCxa8cDmJEHqR5Z2tqqoPVFV9AHzx\nz++f/1repVi4BAQE8NFHHzNsxEh27tz5SmN5e3szZeo0Rs/+gSUHLlC3TReat8x5w4FLly5h7+yC\nS4nSABQpVhIn16JcvJixg5StrS0JcXE8jUi/k01JTuJRUAAODg4Z4kxNTenStRs/Tf+AO5d92Lvu\nZ3yv+NC6desc5/jxxx+z4Y/fsU6NpXq5Ety5dZOSJUvmeDzxYvv27WPixIls2LBB36louX/3DgOq\nO2NpYoiLlQndqtizf/er/ZsSQley85Cj2vMvFEUxBOSsshwICgqiXv36+EbGozqVYuS7o/j5l19y\nPN66deuoVq8xHo1aYGVjR79xU4h++pTQ0NAcjdekSROeRDzi1oX0Hrh3LvsQERJE06ZNM8RZW1sz\ndeoUvhzZk3XfzOLLkT1pWN8z02e2a1b9Sr1qFdn2/Swibp3n6JHDuLi45Ci/f3Tp0oVt27axevVq\nihYt+vI3iBwZPnQoXp06sG/1YoYP6k+bls31nVIGpqamPHia+Oz1vchEHJykD7bIn7KcRlYUZTIw\nBTBXFCX6ny8DycCyPMit0Pn111+p3rg1/cZNBaB05TeYM3sCw3O4jcPV1ZWQPftJS03F0MiI8OBA\nUNC6w8yuUqVKMX3aNGaOHoCZuSWJ8XFMnTKZChUqaMVOnTKF+p6e+Pj4MLhza3r06JHpHkxzc3MW\nfftNjvIR+vPw4UPWrF7Ft+1LU9zGlKeJqby38zh79uyhffv2+k4PgK8X/cDbw4Zy+VE8UYlp3H2S\nzOUDhXcbmCjYsiy2qqrOAeYoijJHVdXJeZhToZWUlISF1b+N+C1tbElKSsrxeJMmTeLHpcuYMaQb\nFT3qcGL3Vnr06IGJiUmOx5w6dSqjR4/m0qVLeHh4YGdnl2Vsq1atpE9uIXXz5k0sTQwpbmMKgJ2Z\nEcVsTLl69Wq+KbaDBw+mbNmyLFmyhAqWluyYMUPrhCoh8osst/4oivLCc9BUVb3wwoFl64+WK1eu\n0LxFSwZ88hlObsVZ/91surRtzVdzct6LODExkQ8//BB/f386dOjA2LFjczFj8bp6+vQprs6OfNLQ\njXrFrLnzOIFphwI5eeZcnh2RKERB9J/32SqKcvjv35oBdYDLpE8jVwfOq6ra4CUXlGKbiWPHjjFt\n+gxiYmLw6tqVqVOnyKHmIl9atmwZ749+DwMgVVWZMHEyX3z5pb7TEiJfe5WmFluAGf80tVAUxR34\nTFXVni95nxRbIQq4xMREbty4QcWKFbGystJ3OoVWUFAQsz6bwaOQIFq37cCoMWOkD3UB9SrF9rqq\nqv+/Ilnra5m8T4qtEKJQSk5O5tChQ8THx9O0aVOcnJxyPFZkZCQ13Kvi6aChtK0xu/wS6Nx/KPPm\ny37hguhViu3vQBzw299fGgBYqaqq3Voo4/uk2BZy/v7+XLt2jdKlS+Pu/p/bZwuRpzQaDYqivPCO\n8fTp0/zw7UJSU1MZ/s57tGnTRismPj6e1s2akBIejIO5Cdcex3HgyDGqVq2ao7xWrlzJytmT+KRu\n+i6CJwmpvLcngLiERLm7LYD+c7vG5wwFrgPj/v514++viUIoOTmZr+bOZcCgQcyeMyfL1dLr16+n\nVu06zJy3kBatWjPjs5l5nKkQ2ZOamsq7I0dgYW6GpbkZ4z/+6Fk/5eedOXOGDm+2xsL3KE4Bp+jf\nqzu7du3Sivvuu0W4xIVzsFt1NrarwkdvuPDBqHdznF9aWhpGz30nNjJQ0KgqcrNSuLz0zjbHA8ud\nbYGjqiodO3chPCaRWs3bcvHYfuxMDdm7e1eGJu8JCQm4uLoxddlGSlasQvSTx0zr15bDfx2UO1zx\nUqqq5ukd2+efzWDrL4v5pK4DaRqVOWceM3rSZ4x5//0McYP698Xs9mE6V0q/w/QOiOaCYVkOHj2e\nIW70O29T8vZx3qtZCoBr4TGMOBXMjXt+OcovNDSUGu7VaF/SmNK2xmy/l0C9N7uydMXPORpP6FdO\nDiLY8Pf/Xv37AIIMv3SZrNCPO3fu4HPhAu9/vYzm3foydu5Srl67zs2bNzPEhYeHY2ZuTsmKVQCw\nsXekdKWq+Pv76yFrkR8cOXKE8ePH8/PPWReIsLAwWjZtjImxEUUc7Vm/fn2e5HZw3x66ljPH2tQQ\nO3MjOpYx5+A+7cMw0lJTMTL493uksYFCWlqqVlz9xk1Y5/uYyIRkUjUall4Lpl79F27OeCFXV1e8\nT50mrnR9DiW64TVsNIt/Wprj8UT+9KKDCMb9/b9yIMFrIjk5GRNTMwyN0v9aGBoZYWpurnVwgJub\nGwYGCueP7KNO87YE3LnJvetX5K72NTVxwgS++2YBVZzMWfE0iR++WYDPlWtaR97169UD28i7/NGj\nPA+ikhn19nAqVaqEh4eHTvNzcSuKv38AtdzSXz+ITsWlSjGtuBHvjqK31z4sjQ0xNlRYdT2aBYvf\n14obOHAgVy9dpMoPP2BkYEB9z3psXLzklXKsUKECG7dse6UxRP6WnQVSw4FjqqrefWGg9vtkGrmA\nSUlJoa5nfYpVqUm9Np05f3gP/pdO43PurFZXqjNnztDVywuNConx8Sxb+hN9+/bVU+ZCX5KTk7Ey\nN+OrNqUo72BGfEoao3f5MWv+IkaNGvUsTlVVTE2MWetVDtO/H1Auu/yEtu9O1Xkjlrt379K4QX2q\nOhiRqgH/eIXT53woVky74O7du5eFc2eTmprKyFFj6dcv63WgCQkJJCUlvbDLmnj9ZDWN/KI723+U\nBJYqilIa8AGOAcdVVb2UqxkKvTM2Nubg/n188NHHbPt+FlWqVOavA/szbf/o6elJ4IMHBAcHU6RI\nEczNzfWQceGQ188wc1NQUBAA5R3MALAwNqS8gxnXr1/PEKcoCg52tvg/TaKSkzkaVSUgOhVnZ90f\nHFChQgUuX7vOzp07MTQ0pEuXLjg6OmYa265dO9q1y965uObm5vL3XmRbthdIKYpiDowEPgGKqar6\nwrZHcmcrxIv9tmYNH497nycxMbRt1ZLVv6/H3t5e32n9JxqNBhtzU4Z6ONGmnB0BUUlMOPCADVu2\n06lTxidQmzdv5u1hQ/AsZsXDmBScylZh38FDGBsb6yl7IXLfq+yznQY0AqyAi4A36Xe2IS95nxRb\nIbJw5swZurV/k43tq1He3pIpJ+7xpFhltu7UXriT323fvp3+vXui0aSRqoERI9/mx59+yjT2ypUr\neHt74+TkhJeXlxRaUei8SrG9AKQCu4CjwClVVV96VI0UWyGyNnfuXB5uWsaXjdOPL4xMSMZj7Rme\nxsTpObOcSU1N5fbt25QqVUraOorXWo6bWqiqWgtoDZwF2gBXFUXxzv0UhXh9ODs7czMq6VnjgusR\nsTgVsCnk5xkZGVGtWjUptEJkITt3tu5AE6AZ6af/BJI+jTz9Je+TO1shspCYmEirpo0xigyhgq05\n230fsXLt71rPOUXe+2er26ucCy1eX68yjbyT9BXI3sA5VVVTsnlBKbZCvEBSUhKbNm0iMjKSFi1a\nyD5lPUtLS6NMiaIEh4ahAg421vg+CMTW1lbfqYkC5FWmkTupqjpPVdWT2S20ouC6du0a1T1qYmpm\nhnv1Gly+fFnfKRVapqamDBgwgLFjx0qhzaHuXl44WVvgbGvNvHnzXmms+p71UOKf8kvX8vzWvQJF\nTFKpWV3+u4jckZ2DCMRrIj4+nrbt2tOg6wB+OnSFJr2G0q59B2JjY/WdmhBaWrVsyV97djCwmh2d\ny5rz6ZRJfPvttzke7/7tG/So6oiduRGWJob0dXfi8aPQXMxYvM6k2OYxjUbDiRMn2LNnD48fP84y\nbvz48ZhbWmFkZEyxEiW5d++eznO7ffs2ZlY2NO/WFzNzC5p26om1vSM3btzQ+bVFwZWWlsaCr+fh\n1akD48aMJiIiIk+ue+7kMT5uUJSWZW3pVsWR7lUcmDf7yxyPZ2Jqge/jxGev7z1JfNa6VIhXJX+T\n8lBKSgpdunlx4/YdHIq4Enz/LgcP7OeNN97IELd+/Xp++PEnJi3+jeLlKrHumy9o2rwFQYEBOs3P\nwcGBx2GcoQaTAAAgAElEQVShxEY/xcrGjviYaCIehbzSwdii8Ht35AjOHviTNiXNuH3fh0Z7duNz\n+WqerEw2Mnz+4AADVDUtx2Ot3bCRDm+2JjA6CRNDAy6FxrFk6fLcSFOIF576s0NRlD+z+pWXSeqL\nqqpMnz4De0dH7Owd+GT8hEzPwcyulStXEvw4ii/W7WPC4nV0fedjRr6jfQ7m+vXradi2KxVr1MHC\nypqBH08nNCT4VT5KtpQqVYrhw4bxxfDu/Db/M2YN786ggQMpW7aszq8tCqaEhARW//Ybk+s70rSU\nDSM9HLBMi+PgwYM6v3Zl9xp8eyqYMw9jOHj/KRuuR/DuGO2DA7KrZcuWnL1wCdtKdTEp48Ge/QcZ\nPnx4LmYsXmcvurOdn2dZ5FM//vQTv2/exszVOzEwNGLJ5FG4LFzI+E8+ydF4fn5+VKzlidHfXXPc\n6zXmz+XfaMW5uLhw7eS5Zz1zH96/g4mJ6St9luya//U82rRuxfXr1xk9oDvt27fPk+uKgkmj0aBA\nxqPpDBXS0nJ+h5ldp86cpVmTJiw5fx5FMeDdMe8zY8aMVxqzevXqHDlyJHcSLISSkpIwMTHJspd3\nWloa3yxcwF/79lK0eHE+m/UlJUqUyOMs8yc5PP4FunTzokyDN6n/ZmcALh7/i3N//sbhgwdyNN6m\nTZsYP3U6k39aj5WtHRsXzyM5zJ9dO3ZkiIuOjqZMufI4FStFyQpVOLFnK++MHME332gXZiH0rXd3\nLx5e8qZdaXNuRyZzLAyu3rglp+EUIrdv36ZH107c9r2PnY01q35bR4cOHbTixo5+jyPbN9CpjDl+\nUSl4h8PlazeyPPihMMrx1h9FUSooirJJUZQbiqLc/+eXbtLMXxwdHQn29332OtjvLs6OOX9+2aNH\nD3p168KHnRsypm1t/C6eZMWyZVpxNjY2+N3zpWldDyySo1j2049SaEW+teb3P2jS4y32xxVBU6ER\nJ06flUJbiGg0Gjq2bUMj61g29arAJ7VtGdivDw8ePNCKW77iZyZ6OtKghDX93R0oYwk7d+7UU+b5\nS3YWSK0EZgDfAC2Aobwmq5inT5tKg0aNiAgKwMDIiCsnDnH86NEcj6coCvPmfsWUyZOIi4v7+xD2\nzP8obWxsWL5cFmeI/M/U1JS5X7/2T51eiUaj4dChQ4SFheHp6Um5cuX0ndIz4eHhPH78mI4NSwJQ\nxdmCKkWS8fHxoVSpUhliVVXluScKFNCTI3UiO0XTXFXVv0ifcn6gqupnQEfdppU/lClThksXLtDj\nzWZ0a9GQiz4+VK5c+ZXHtbOzo1ixYlkWWiFE4XDnzh3eGtCPzu3f5OcVK8js0ZpGo6F39268M7A3\ny2d+TN1aHuzZs0cP2WbOzs6O5NQ0gqLT21gmpWoIeJKAq6trhjgDAwOGDR3CvDOPORcUy/obkfhG\na+jY8bUoFy+VnXaNJ4HGwCbgEBAEfKWqaqWXvK/AP7MVQoicCggIoI5HDdqVNMHF0ogtvvGM/GA8\nkyZPyRC3fft2Jrw3jNlNnDE2VLgeFs93V+IICcub/crZsXz5MqaM/xgPNyt8IxNp2b4zK1au0loo\nlZaWxtyvZnNo/z7cihZj1py5lC5dWj9J68mr9EauC9wE7IBZgC0wT1XV0y95nxRbIYTOJSYmYmRk\nhNELGlDs37+fZYu/x9DIiLEffkzjxo11nte8efM4unI+79RMXxwUEJXEnPMxBD0KzxC3ePFidi3+\ngnc90p9zp2pUem+8S3JKSr6a/bp06RI+Pj6ULFmS1q1bZ7ki+XX3Kr2Rz6mqGgtEA++rqtr9ZYVW\n5D/37t2jVJkyOBZxoZq7u7RgFPlacHAwGzZsYN++faSmpmYaExERQdkSxbC0MMfMxJg2LVtkug9+\n9+7dDOjVA7fQ8zgEnKJrx3Z4e+v+lFBVVTN8gzVQyHQa2dPTk3NBsTyMTj9ycevtp9Sq8Ua+KrQA\nHh4eDB8+nDZt2kihzYHsrEauoyjKVeAK6WfZXlYUpbbuUxPZsX//fkqWLoOpmRlNm7UgKChIKyYq\nKoo3atTErXw1eo+ZRJqxBSVKlc77ZMVrLS0tjTq1a+JgZYaLgx1//pl5b5yzZ8/iUa0qa2ZOZNLI\nt2jXqsWzY++e17pZE5zVaP7oWZFlXcpx9dwJPvjgA624RfPn8pa7DW3K2dG+gj29K1qxeJHuV/f3\n6tWLUyFJ7Lj9hHNBsSzyecrb776nFVenTh2+WvANEw6F0G/rfa6m2LNx63ad5yfyVnZ+dPoFGKWq\namlVVUsDo0lfoSxywM/Pj9FjxjJw8GA2b978SmPdv3+fvv36M2jSHH46dIUilT3o6tVdK27GjBnY\n2Dsw9qslNO3ci8lL1hIfH8ehQ4de6fpC/BdlSxYn/N4NhtVwpKmbIb27d+P0ae1JslEjhvFVg1Ks\nfbMSh7xqQLAfv/76q1acv999+ro7YWpkgJOFMV0rOXD4wD6tOI1Gw3NdHTFUlFfqBJddZcuW5Yj3\nCZ6UqMdJtSRjJk1nxszPM40dPmIEUTGxhIZFcOnaTa1VvqLgy87WnzRVVY//80JVVW9FUTKf1xEv\nFBgYiGeDBjTu3AfHUu68/9EnhEdE8O477+RovFOnTuHu2Rh3z/TnT93f+YjhjZYSGxuboS9tYmIi\nJqZmz6aljIxNMDQ0Ij4+/tU/lMh3kpOT893B52lpaQSHhrKsczkcLYyhlA2BUcl8+OGHnDp1KkNs\nUHAwDepVB8DQQKGOozmBmfQFNzM3415kIuUczAC4+zgBhxIVteLeHfsBo0cMQSX9eegft2NZP2dM\n7n/ITLi7u7NpW/a62xoaGmJjY6PjjIS+ZOfO9qiiKEsVRWmuKEozRVGWAEcURamlKEotXSdYmKxa\ntYpazdvRa9R4Wnbvz7tffMfX8xfkeDwnJyeC/XxJTUk/ZvhRoD8GBgaYm5tniJs4cSJhwYH88f1X\n3Lpwhh+nf4iBgYG0YiwgVFXl+PHjbNy4ET8/vyzjFixYgLmJEWampthZmnPgQM46nemKqmZs62hk\noGT6PLa+Z31+uPwQjaoSEpvIZr9IGjRoqBW3aMkyVlwMY653EFP/CuBcaCKr16zRiuvRowdLfl7F\nJeNy3LSszNoNm2jVqlXufjghXkZV1Rf+Ag6/4NehF7xPFRlNnz5d7TJklLruQqC67kKgOm/TX2qJ\nUqVzPF5aWprasXMXtUqN2mr7vkNUZ1c39aelSzON3bt3r2rv6Kxa2dqrRVzd1Bs3buT4uiJ3HD9+\nXK1WqYJapqiLOnTIW2paWppWjEajUQcP6KeWdLZTG1dwVe1trNSdO3dqxZ07d041NTRQZ7YooW7p\nU0kdUauIamlqrKakpOTFR8kWV0d7tYKDmTqjWXF1cA1n1cRQUffv368VFxYWpjb2rKtampmqZibG\n6uwvZmU55tmzZ9UhQ4aoY8aMUUNCQnSZvhDZ8nft06qJ0hs5D127do2mzZrTZ9xUHF2LsWnxV/Tu\n2pnPP5+Z4zHT0tLYvHkzwcHB1K9fn/r16+dixuJ5iYmJHDp0iJSUFJo1a/ZKLQkvXbpEg7q16VzJ\nnuI2Jvxx9TFveDZh3/+dlrN//37eHdSHuc2KYGpkwM3weOb7RBH2+EmGFaFTp05lx8+L+KLlv03f\n+226w9GTZ6hTp06O88xNCQkJeLzhzqOgQAyMjPj62+9feKpOVFQU5ubm+W5KXIgXyWrrz0uf2SqK\n4gLMBoqqqtpeUZSqQANVVX/WQZ6Fmru7O7t27mD6ZzO5EBPDkP59mDB+/CuNaWhoSO/evXMpw9fT\n999/z5Jv5gMKYz+ZwKhRo7RioqKiaNG4ISaxT7AyMWJcbAqHvU9SpkyZHF1z1qxZeBa3YmB1ZwAq\nOJjz4b7DWnEBAQGUdzDD1Cj9iU8lJ3OeRj8kOTkZU9N/T4IqU6YMQdFJJKVqMDUy4FFsMslpar5q\nKGBubs5t33vZjre1tdVhNgWTqqocOXKEwMBAateuTbVq1fSdksim7CyQ+pX01cdT/359B1gPSLHN\ngQYNGnBg3159p1GghYeHc/LkSaysrGjWrNkLmxm8zMKFC5kxeSKfNaoAwIQP3iclJYVx48ZliJs7\nZzZVDOJY0vUNFEVhwfkHjB83lk1/5qzJelpaGib/dyxdZjNBdevWZVJwDA/LmVPcxpTdd6OoUrF8\nhkILMGzYMBZ8NZv39/hR1dmCc0GxeHl54eSU84MzRP6iqipvDx/K/h3bKOdozochMXz7/RIGDR6s\n79RENmSng9Q5VVXrKopyUVXVmn9/7ZKqqh4veZ9MI4tcd/nyZdq1akl1ZytCYxNxKlOB3Qf+0io+\n2VW+mCsfVXNmYLViAKy69pBFNyPxfRicIW5Qn140eHLrWdzp4Cd8eiueM5ev5ui63t7etG7ejEE1\nnChuY8rqy+E4l63K6fM+WrG//Pwz748dgwFQtKgbO/fup3z58lpxGo2GL774glu3btGqVSs5+LyQ\nOXHiBH27dWRBCxfMjAwIiEpi8pEQIp9GY/z3GdlC/3LcQQqIUxTFEVD/Hqg+EJXL+QmRLWPeHsG0\nWkXZ2K4KR7p7YBjq/0qnI2k0GswM//1nYGZogKrRPvjcs3FT1tyNIDoplZQ0Dcuvh+LZqFGOr9u4\ncWN+37iJAyHw46UnVKrbhGMnT2UaO2z4cJ5ERXM/IJCbd+9lWmghvRH89OnTWbdunRTaQig4OJjS\n9uaY/f1IoaStKYqa/ohD5H/ZmX/7CPgTKKcoygnAGeip06yEzqiq+sJWa4mJicydN4+r165TrWoV\nJk2cqLWVSJ8CAwNpVDV9L6WhgUIDZwsevGA7zMv0HTqC8d/Mx8TIAFVVmXj0FmPGT9KKGzV6NNev\nXKbiL2swVBSaNW3CnK9zvm0LwMvLCy8vr2zFGhsby5Twa65WrVpcD43h7mNTyjuYsfdeFC4uRV6r\ng9kLsmytRlYUxQioBCjAbVVVU7LxHplGziMrV67kzp07dOzYMcsG6ydPnmTg4LcI8PfjjRoerP99\nHRUrZmwAoNFoaNehI9EpULtFey4e24+ZJomD+/flmz6tvbp1wenhDeY0LkdkQgqddlzl8+9+pGfP\nnP/8N2HCBH7/ZTmKojBgxDvMmTMny9i4uDhSUlLkcHQdUlWVX1euZMfmjdjY2TPp0+m5crRlYbB1\n61aGvjWYxMRESpcswbadu+XPJp/Jahr5Rftr6wKuz70eDGwHvgMcsnrfc/G62MIknpOWlqZW96ip\n2jo4qdXqNlRNzc3VadOmacU9evRIdXByUj/+5md11WlfdciEWWqZsuW09mDevHlTdSlaXF1z1k9d\ndyFQXXPWT3UrUUq9cuVKXn2klwoPD1cbe9ZVbS3MVXNTE3XqpImqRqPRd1qvvVu3bqlr165Vjx49\n+sr/PebPm6tWdnVUf2lfXf2scUW1iL2d6ufnlzuJFgIajUaNiYnRdxoiC2Sxz/ZFtytLgeS/K3VT\n4CtgNenPa5fl1k8BIueWLFlCYFAwC7cfZ+rS9Uxdup65877W6vt68eJFSpavTO1mb2JsYsqbfYcQ\nn5hIYGBghrjU1FSMjY0xMDQEwMDQEGNj4yxPXdEHJycnjp06w72AQCIin/DFnK/kBJIcSkl58QRV\nUlIS06dNpXO7Nnw07v0snw2u/+MPmnjWZfNX0xje24t3RwzLdGV1di1e9C0/t6pEj0pufFinDN3K\n2LN27docj1fYKIqSoR2rKBheVGwNVVWN/Pv3fYBlqqpuVlX1UyDzFRqF0NmzZxk6fARvDR2WJ8dy\n/RfXrl2jnLsH5pbp//DKVfNAo0kjNDQ0Q5yzszOhgQ9ITEjvhfwkPJSYqCjs7e0zxFWuXJkizk6s\nmjuNmz6nWPP1dOxtbXB3d8+bD5RNiqLg6OiIhYWFvlPJd06dOsXvv//OzZs3s4w5c+YM5UoUx8zM\nlEplSnHhwgWtGFVV6dmtCwfXLaNq7A2u7/2Dlk0ba52+k5aWxtsjhrO1kzsrW1XkWM+aHNr1J8eP\nH9caM7s0qorh820dsziaToiC5IXF9u9ntQCtgOePiMn5xsZ8IDU1lVGjx2BpZY2dvQMzP/8803/M\np06dol37DqTaFUMpUoauXt3z1Uk57du35/rZEwT5+QJwZPt6TM3McXV1zRBXs2ZN2rV9k1nDurFq\n7jRmDevOp59O03ruaGRkxIF9eyluY8ren7/B1cKQvw7sl20FehYSEsKot0fSvWN7vl24MMsTaz56\nfyz9u3Zkw+ypNG/gyapMTsqJioqia4f2fO7hzOOxbZhY2Y4u7dtqHUoRFBTECW9vPq7rSKOSNoyq\n5UBMeDBnz57NEBcdHY0mLY03nNMb6FsaG/GGs22mRz1m18h33+PtQ3fYcz+MpZcC2OD7mL59++Z4\nPJG3bt26xcqVK9mzZ0+enK5UULyoaP5O+iEEEUACcBxAUZTyFPCtP5/P+oITPpdZsP04yYmJLPp4\nOCVKlGDY0KEZ4hZ99z3d3v6QNr3fAsDc0ooF33xLy5Yt9ZG2lq5du9K/bx8m9XkTYxMTFEXh97W/\naS1mUhSFX1YsZ9euXdy7d48po4bRtGnTTMd0cHDg5+XylCC/ePr0KY0969LR1YzOTpYs/e5r/O75\nsmjxkgxxPj4+bFr3Gyd618LW1Jg7kUVpOXoUffr2xczM7FncjRs3KG5tRufyLgD0rOzG/Kuh3L17\nlxo1ajyLU/9etf7cDSYGinbjDTs7O4oXdePnKw8ZXr04V8Oj8Q6MYE6tnJ9RMmXap9jZ2bNy80Zs\n7Irz17E/stzuJPKXLVu2MHLoYGq6WRMQlUS1Og3YvH1HvllgqU9ZFltVVb9UFOUvwA3Yr/77r8wA\nGJsXyenK/gMH6DxsHLYO6Vsp3uw/gv37D2gV2+SUFOzN/52qNDW3yFfPLwFWrFjB/Pnz8ff3x93d\nPctuSoqi0KlTpzzOruD45yfwF31TOHfuHN8vnE9KcjKDho+kQ4cOOs9r9+7dVLQ04ItG6cWmRSlH\nKi1fzsLvvsfw72frAA8fPqRqEVtsTdNnISo6WGFubMTjx48pVqzYszgXFxcCnsQQmZiMg5kJ4fFJ\nhDyNpUiRIhmuW7x4cWrWqsV3PrdoVsyUi+HJGFk7ULdu3QxxiqKwddcevDq2Z/rJIxgYGrL8l5VU\nqlQpx59ZURRGjx3L6LEF+tuM3nl7e+Pr64u7u3ue9MdWVZW3hw9jcn0nKjqak6pRmXzsNLt27aJz\n5846v35+98IfN1RVPa2q6lZVVeOe+9odVVW1H/IUIM5OTgTdu/PsddD9Ozg5a+9hHD50CJt//Jpz\nh/dy4dhB1i/6kmFD3srLVLPFzs4ODw+PV2pb+LpKS0vj/VHvYWluhpWFOR+MHUNamnZTCx8fHzq0\naYV7yBUax9xl5MD+bNmyRef5aTQajJ/7AeCf3///HaaHhwc+QZH4hKZPOv1xMxgLKyutRwply5Zl\n+Nvv0mrLZcYe9aXVlst89Ml43NzcMsQpisL2XXuo2aEPh5OL4lyvHUe8T2a4S/5H5cqVueF7n8CQ\nUCKjoqVXdz4wcfzH9Onakd++mkzHNi1ZOH++zq+ZlpbG0+gYytmn/x0xMlAoY2dCcHDwS975engt\nT/25du0azVu2pEajliQnJuB//RJnTp+iaNGiWrFbtmzh2+++R1VV3nvnbfr376+HjIWuzPtqDtuX\nfcfaN6ugAv333aTnqA/5ePyEDHHvDB9K8TsnGVcn/eCBXffCWBpmxJHTZzMZNfdERERQ070qQ8rb\nU9PZmsXXQijTqDUrfl2lFbtt2zaGDh5EWmoqzk6ObN25m+rVq2c67pEjR7h9+zbVqlXLcm+2KJhu\n375N43p1+La1G9amhoTHpfDBgSAePAzCwcFBp9euV8uDipoQelaxJyAqic9PRHDo+Iks/x4WRlnt\ns30tiy2kdyLasWMHRkZG9OjRQ7qwvKbat2jGW9YxdCiXPo26w/cRvyfas/NAxoVwI94aTIUH53iv\nZikADviF820QHD+n3cs4t/n5+TFt4nhCg4Jo2qoNUz79NMtFa2lpaURHR2NnZydbol5TR44cYdyQ\nPsxq+G9hHXMwlP3HTum8AUZgYCBenTty+doNzM1M+fGnpQwYOFCn18xvcnzEXmFVokSJTI9SE68X\nl6JFuep/gQ7l0l9ffRyHS3ntrU5DRr5Nj07bsDczxsrYkGlnHjBj3sI8ybFMmTKs3bApW7GGhoZa\nW7oEREZGcuDAAQwNDWnbti3W1tb6TklnqlWrxsOnCVwKiaOGqwXHA2JIVYzy5LjFEiVKcP7SFRIT\nEzE1NZUf+J7z2t7ZCgHg7+9Pk/r1qOtkgQr4PE7A+8w5SpYsqRX7119/8e3cOSQnJTFoxNsMHDQo\n7xMW/9mDBw9o2sCTKrampGpUApMNOH7mrNaisMLkyJEj9OvVk8dPn1LMzZUt23dQs2ZNfaf1WpBp\nZCGyEB4ezs6dO5+t2JaG/7pz//59Tp0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ajOoQQZcGIfz4cxbPLjvAmvUbuOyyy9yOB8B/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\nY8DNwISi5euAjsXel2uMWQu8CdxVtOxFYLwx5nvO/Xf2WaB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ckV9oZCsipUZQUBBvvP0Ox7NOcOsTz/JzQBUaValAZFAAAA1iIgj2ejl+/LjL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\ngOPHj3PpkIEs/mkJGMMD99/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TgOtRV+g2qA8vvfRSWUcXolL4cuEXvDxzJqgqDevX48etv7Jm8xa+nP8JOp2O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\nMnv27MHDw4MDBw4QExND8+bNKVOmzGVtk5KSaHh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yOYPMZy5dupTwp6GEPw2VQitEJpI7W5EnlShVmqGzf6ZwidIA7Fq9lPz6GObP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\nsDAptkIIIYSF/T+4eOEeZ73v/gAAAABJRU5ErkJggg==\n", 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Mmvobiok5u3fv/ugcPz8/unXvTtnyFXDr0QM/Pz9NvDUhhEg2WRtZy3x8fHjw4AEFCxbE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\nBVR1gV9OFvLhzNkMuY5BhpdTJ6wGTzVwoKZPaY/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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -347,6 +360,32 @@ "\n", "plot(X, Y)" ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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/J+C2Hx06dMh2W+bm5phbWLLPeymqqhL44C6XTvvQo0ePXEwshBAiKwrUMPLR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\nEEJY2f8DgiyiTapLf7UAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "X = iris_data['data']\n", + "rca = metric_learn.RCA_Supervised(num_chunks=30, chunk_size=2)\n", + "X = rca.fit_transform(X, Y)\n", + "\n", + "plot(X, Y)" + ] } ], "metadata": { From 8c5543fe7336be2899fb758ab29877ffa1512085 Mon Sep 17 00:00:00 2001 From: Bhargav Srinivasa Date: Wed, 2 Nov 2016 18:22:32 +0100 Subject: [PATCH 3/4] Added links, explanations --- examples/metric_plotting.ipynb | 291 ++++++++++++++++++++++++--------- 1 file changed, 211 insertions(+), 80 deletions(-) diff --git a/examples/metric_plotting.ipynb b/examples/metric_plotting.ipynb index 98c3b072..14767a51 100644 --- a/examples/metric_plotting.ipynb +++ b/examples/metric_plotting.ipynb @@ -17,7 +17,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### Imports " + "#### Imports " ] }, { @@ -98,7 +98,7 @@ "data": { "image/png": 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i55ZzmPvZMgwePPiRc/vss8+w8Yv3Mau1A4yNBGxPyMEVMy/sjT1c4+1mhvfI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\nUvKKob33HtzML4aJibGozUcMwcbGBvn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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -114,20 +114,38 @@ "cell_type": "markdown", "metadata": {}, "source": [ + "### Metric Learning\n", + "\n", "Why is Metric Learning useful? We can, with prior knowledge of which points are supposed to be closer, figure out a better way to understand distances between points. Especially in higher dimensions when Euclidean distances are a poor way to measure distance, this becomes very useful.\n", "\n", + "Basically, we learn this distance: $D(x,y)=\\sqrt{(x-y)\\,M^{-1}(x-y)}$.\n", + "And we learn this distance by learning a Matrix $M$, based on certain constraints.\n", + "\n", "Some good reading material for the same can be found [here](https://arxiv.org/pdf/1306.6709.pdf). It serves as a good literature review of Metric Learning. \n", "\n", - "We will briefly explain the metric-learning algorithms implemented by metric-learn, before providing some examples for it's usage, and also discuss how to go about doing manual constraints." + "We will briefly explain the metric-learning algorithms implemented by metric-learn, before providing some examples for it's usage, and also discuss how to go about doing manual constraints.\n", + "\n", + "Metric-learn can be easily integrated with your other machine learning pipelines, and follows (for the most part) scikit-learn conventions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "### Applying Large Margin Nearest Neighbour\n", + "### Large Margin Nearest Neighbour\n", "\n", - "LMNN is a metric learning algorithm primarily designed for k-nearest neighbor classification. The algorithm is based on semidefinite programming, a sub-class of convex programming (as most Metric Learning algorithms are)." + "LMNN is a metric learning algorithm primarily designed for k-nearest neighbor classification. The algorithm is based on semidefinite programming, a sub-class of convex programming (as most Metric Learning algorithms are).\n", + "\n", + "The main intuition behind LMNN is to learn a pseudometric under which all data instances in the training set are surrounded by at least k instances that share the same class label. If this is achieved, the leave-one-out error (a special case of cross validation) is minimized. \n", + "\n", + "You can find the paper [here](http://jmlr.csail.mit.edu/papers/volume10/weinberger09a/weinberger09a.pdf)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Fit and then transform!" ] }, { @@ -136,46 +154,70 @@ "metadata": { "collapsed": false }, + "outputs": [], + "source": [ + "# setting up LMNN\n", + "lmnn = metric_learn.LMNN(k=5, learn_rate=1e-6)\n", + "\n", + "# fit the data!\n", + "lmnn.fit(X, Y)\n", + "\n", + "# transform our input space\n", + "X_lmnn = lmnn.transform()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "So what have we learned? The matrix $M$ we talked about before.\n", + "Let's see what it looks like." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { - "image/png": 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V1q35EXd3d53EMG3qFIzGT2D5+PewsbFm9coV1K1b943rCwwMZNy48Uxav5tC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\ncXUo7jJvHuTOz6tjH+ieSxctpFt112vbCA6O8GD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"text/plain": [ - "" + "array([[ 2.49193844, 0.35638993, -0.39984418, -0.77608969],\n", + " [ 0.35638993, 1.68815388, -0.90376817, -0.07406329],\n", + " [-0.39984418, -0.90376817, 2.37468946, 2.18784107],\n", + " [-0.77608969, -0.07406329, 2.18784107, 2.94523937]])" ] }, + "execution_count": 5, "metadata": {}, - "output_type": "display_data" + "output_type": "execute_result" } ], "source": [ - "# applying our Metric Learning algorithm\n", - "X_lmnn = iris_data['data']\n", - "lmnn = metric_learn.LMNN(k=5, learn_rate=1e-6)\n", - "X_lmnn = lmnn.fit_transform(X, Y)\n", - "\n", - "plot(X_lmnn, Y)" + "lmnn.metric()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "### Applying Information Theoretic Metric Learning " + "Now let us plot the transformed space - this tells us what the original space looks like after being transformed with the new learned metric." ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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oIzQazcvfrEPz5s7m8M7NfNOuFF+3LsmvP33H8qWGuV92buRYbFVVnaOqqi2w\nQFVVu6dftqqqOqqqOkGHGUU+ER4ezscfj6FP37dZs2YN2V25yMjI4F7wXWr4tgDAytaOijXqcfPm\nTV3HFTr0Ztc3uHP0dwaVTadk9FWa+jYkMp+tvtdoNPTs3pUBPbqweMIH+FStzIEDB/Qd67VFRUXh\namuGsVHmSVQxa1PS0tNJSclf7RD+/P03unhYYW9hgqOVKZ3cLdn3x2/6jqVzLzqzrakoSk1gy//+\n/d9fOswo8oGYmBjqN2jItYcx2HrVYNaCRUyZMjXLOGNjY7wqVOTo79sz3xfxiMCTh6laVZ4e+7fU\n1FQ+nz6Nru3bMmb0KGJiYvQd6bXFxcVx5OhRRtYsipejJZ3LF6GMnUm+23xix44dXDx5hIXNXBhb\npwijajowqF9ffcd6bb6+vpx7EM+5BwnEp2aw/lI0dWvVxNLSUt/RnuNSvDjBcWnPXoc8SceleO63\n8TQ0L+ogtfDpPy2A2sAFMh/7qQacARpoN5rQpcTERMzMzLJtsQeZH1TF3L3o92nmIxXVGjRhbDc/\nZsyYnuXey5afN9GufQd2r/mamKhIJkwYn68XbuhD3x5vEXflLH28nDhw6DotGv/F8TMBmBtgpyBT\nU1M0GkhK12BjZoyqqsSnpOvs96LRaBg29B3+2PkrpmZmTJs9jwEDBmQZFxISgqeDCaZPn8mt7GJJ\n2JH7+X4BY048PDzYvO0Xhg8ZxMNT92hYvx7bNv6s71hZzJq7AN8G9biXEEWGCjfjVE5OK3zdfnMs\ntqqq+gEoirIdqKmqauDT11WAaTpJJ7Tu0aNH1K5Xn9CQYIwUIxo3bcL+ffuytEJMTU3FwtL62WsL\nS2syNBnZflBVrVqVoFs3uX37Nk5OTjg7O+vk92IowsPD2b//L64PbIS5iRFdvIrRbPsFTp48SdOm\nTfUd7z+ztLRk+LvDmLFtA34lzbgWk4F5UVdatGihk+P36d2L/bt/5Z2aLsQkp/PuO4OxsbHJsvds\n3bp1mT0tkTc8bHCxNmXnjVhqVq9mkIX2f1q2bMmt4Hv6jvFCXl5enA+8zK5duzAyMqJLly5ZumYV\nBq+yGvmyqqqVX/a9bN4nq5ENQLXqPlg4ujJy9tckxMUwfXB3enZ7gyVLljw3LiwsjOo1atBh4PuU\nKV+J3WuXUdXLnbVrvtNTcsMVFhZGtYrluT6wIabGRqiqSqsdgcz9br3BNjJQVZU1333H8aOHKV3W\nnTGffIp5z+KiAAAgAElEQVSNjU2u501NTeXx48e4uLhgamqa7Zgi1uZMaFgcb+fMTQ02XHzMbYvS\n/H0mIMvYZV8v4dNPP8XEyIjSpUux+48/KVu2bK5zCvE/uXn0ZyOQAKx/+q2+gI2qqr1f8j4ptgbA\nzqEoE1ZspGyFzJ+d9m76nrN7thJ48UKWsVeuXGHsuPGEP3pEi+bNmTF9GmZmZrqObPBUVaVD65ZY\nht2ib3lnDt6P4UC0ypmLl/Ld/TZ92rVrFwP69sHUSMHIxJQtv+7I9naEg7UF4xoWo9LTYrv+wmOC\nLcty6syZbOdNTU0lLi4OR0dHgz6r/a/S0tIIDg7GwcEBR0dHfccpsHLTG3kQcBkY9fTrytPviQLA\n0sKC25czC6uqqty8eBYnp+z/IlaqVIndu3Zy+tRJ5s6ZLYX2NSmKwtYdu3Bv3YWl4SYkeTfk4LET\nUmj/5eHDhwx6uy9b21fm5qCGLPUty5tvdCYxMTHL2I5du/PFsTAOB8ex81oUO69HM3Hy5BznNjMz\nw8nJqVAV2ps3b1LBoxxN6tWiTKmSTJ86Rd+RCp2Xntm+9sRyZmsQNm/eTL8BA6lWvwlx0ZGE3bnJ\n5cCLlC5dWt/RRAH1+++/M2bMGDQaDZ999hn9+/fPMubgwYNMGtqfPZ3+uVtVa+MZdh48km1HsvdH\njmT39i2YmpkzY+58evd+4YW3Qqe2TzVqmjymY/kixCSl89mRR3y/aRstW7bUd7QC53WaWmx++s9A\nRVEu/v8vbYYVORs7dixOxYpT1LkYffr2zfUD7D169ODYkcP4eJaivZ8vd4JuSaEVWrNhwwa6du6I\nW+oDPDSPGDp4IPPmzcsyrnTp0tx8HMPDhMxnRoOiE3gcn4Sra/aPjCxdtoy7Dx5xM/ieFNpsBF65\nSstymRuMFLE0oWYxCy5cyHqrSGhPjme2iqK4qqr6QFGUbLelUFU1+IUTy5ltnps1axZz5i/gvRmL\nMTO3YOX0T2jfqjnr1q3TdzQhXolLUXv8SpjSt1rmCvXfbkSx+Wos0QnJWcbOnT2TxQsW4OPqQMD9\nKOYsXMSQd97RdeQCoaKnO28UT6VRaTtS0jVMPPKYBSvW0KVLF31HK3Bys0BqCHBYVdX/1AJIim3e\n86pQkaZvDqTFm28DcP7YQb6fNY5HD8L0nEyIV+Noa0n/Kg74uWdulxjwIJ4vTz4kNikt2/GXLl0i\nKCiISpUq6XyP3ILk77//pkPb1rjZmfMgLol2HTuz5ocfC9V9a13Jqdi+qKnF/5QGViqKUhY4CxwG\njqiqej5PE4qXMjExISE+7tnrxPg4jIyMdXb8u3fvMmXadMLDw2nZojkff/QRxsa6O74wfNVq1WPD\nmWOUc7DAzFhh7bnHlCpbLsfxVapUkY3T80DdunW5djOI8+fP4+joSPXq1aXQ6tgrL5BSFMUSGAp8\nApRUVfWFn7JyZpv3tm7dSt9+/Xlj0EjMLa3YunIRUz6byIQJ2m9V/fjxY6r71KBR556ULl+JP9av\nooVvA5Z8tVjrxxYFR0ZGBtWrViHo5nVUFYq7unIj6I6sbBcFRm4uI08CGgE2wDngKJlntg9e8r5C\nX2wjIiL4+uuviYyOpn3btrRv3z7Xc27bto3pn89Eo9EwYvi7jBgxItdzqqpKVFQU5ubmOTYiWLNm\nDWs2/8rIOcsBiIuOYnTH+iQmJMhPyEII8VRunrPtBjgCfwHbgR0vK7QCoqOjqVuvPscu3SLGxJ4h\n777HNytX5nre7t27c/H8OS5dvJAnhTYmJga/Fi0pW64czi7F+HDU6Gx38xFCCPH6XukysqIodmSe\n3foCbwGPVFV9YWf5wn5mu3z5cjbu2suI2csACL5xhSUfDybsfqiekz2v/8BBhD1JYdCEOSQlxjN/\nZF/Gf/QhgwcPfm6cXEYW+hAdHU1oaChlypTBzs5O33GEeKnXPrN9uvFAX2AA0BO4DxjuJpA6kpiY\niI3DP52Y7Is6kZSUtfuNvp069TctewzEyNgYa1t7GrbvzslTf2cZ5+zszPFjR7FMiuLSn9sY2Pst\nvly0MJsZhcgbG376iXKlS9GjbQvKlXbjjz/+0HckIV7bq6xGnkvmCuQlwGlVVbNfoy+e06FDB2bP\nmUt5n7qUKOPBlmXzePPNt/QdK4sypUtz9cwJypSvhEaj4ca5U3Tya5Tt2LJly7Ju7fc6Tij+C41G\nQ0REBC4uLvqOkiuhoaF8OGI4f3T1wdvRhpNh0fTp1YO7oWF5ssGBELr20mKrqmpHXQQpaLy9vdnx\n6y98MnYcUVHRtG/Xlvnz5uo7VhZLv/6KZn7NuXTCn/jYaBxsrRk1apS+Y4nXMH36dGZ/Pp0MjYqF\nmSkbNm+lc+fO+o71Wm7evEkF5yJ4O2YW1volHHCwMCMkJIRKlSrpOZ0Q/530RhZERUVx7NgxLC0t\nadKkiTyGYYBOnDiBXxNfpjdzo6KTJfuCYvn+QgTRTxIM8v/n3bt3qV2tCvvfrIm7vRUXH8XRaedF\ngu+Hyb1bA6SqKuHh4RgZGRn8VZeXyc1qZFHAFS1alE6dOtGyZUuD/GAu6B4+fMiqVatYvXo1jx49\nynbM7t27Ke9oibezFYqi0NqzCKgaLl40zDbmZcuWZebc+bTYeo7WOwLpsjuQVd+tkUJrgBITE2nf\nphUVPcvh6V6GN7t0JjU1Vd+xdE6KrRD5WFBQED5VK7Ppi8lsWDCJ6lUqExyctS15+fLluRebQmJa\nBgBhT1JJzVApVy7n7kx56f79+7Rs4outlSXeHuU4cuRIruccPmIE5y5fYf7ajVy6fpO3evTI9ZzJ\nycmsWbOGefPmcerUqVzPJ15u8mcTSbh9gTUdS7OmY2nuXTjO3Dmz9R1L5160EcEuIMfrwKqqvvBm\nkFxGFiL3+vZ8C6MbR3jL2wGATZejMK/eiu/XrX9unEajoUbVyty/e4sKjpacf5jAm7368oMONqlQ\nVZW6NarT3DKZkT6lOBEWzQeHgwgIvIybm5vWj/+qUlJS8PNtiFVsON725my5FcEXS5bydr9++o5W\noDVtWA8/8zBqumbefz8WEscV28rs2vOnnpNpx+v0Rv5Ci3mEKNTu3LlD2xbNCH/4EFs7O37avI0m\nTZpkGRf+8AH17f75a1rGzpQLD7L2lDEyMuJc4GWWLFnC5cuXGdWqFT3y4EwwIyMDf39/oqOjadiw\nISVKlMgyJiYmhus3bvLXsCYoikK7ci7UC4rmxIkTvPVW/lmBv3XrVkyjH7KtYxUURaFH+WK8NXqU\nFFst8/Aqz8Wzd6npmvmD2cWINCrWrKDvWDqXY7FVVfWQLoMI/cnIyOD27dtYWFhQqlQpfccp8DQa\nDXV8qlHL2ZjhTUoQ8CCetq2ac+tOSJZi1qptB9Yv+4LyRS3RADtuJ/LuJx2yndfIyIjRo0fnWc70\n9HQ6tmtD0KVzFLMx593HCezes5cGDRo8N87a2pp0jYbQJ8mUsrMkLUPDnZgEihYtmmdZ8kJUVBRe\n9pbP2ot6OlgR/eQJqqpKy1EtmjP/C5o2asDEIxGka1QsHFzYMH2GvmPp3Esf/VEUxQuYA1QCLP73\nfVVVdXMzSGjVo0ePaNOuPQ8ehpOclEjHDh34Ye33spuPFp09e5akpETeq+OFkaLgUdSCE/fiWb9+\nPWPHjn1u7Cdjx/LwQRjvrV6Noii8++67fDAq7wrqi/z00088vH6B+U1dMDZSOH7PiHcG9ufy9ed3\n2zQzM2P27Nm0nz2Tzu5FOR2RiEe1mvj5+ekk56vy8/Pj88mf0dW9KJWdbJh+6g6tm/tJodWyYsWK\nEXDxEidOnMDIyIiGDRtibm6u71g69yoLpL4HVgDpgB+wDlj/wncIg/H+h6MoWakmi3YdZ/Huk1y4\ndpOVedDDWeTMxsaGdI1KSnrmmoYMjUpCWka2zRqMjY35csnXxCcm8SQhkYVfLsbIKHfrGlVVZfmy\npbTza0rPrm9w4cKFbMeFhITgaWeEsVFmMarkbEXYg4fZjh398Rh+2PoLpd56lw9nLWT7rt9ynTOv\nValShTXrNzDq7zB8fjpFTElv1m38Wd+xCgUrKytatGiBn59foSy08Gq7/pxVVbWWoiiBqqpW/ff3\nXvI+WSBlACp4V2bQtC8pUz6zUcDeTWsxiwll1cpv9JysYKtc3pOUyPu0LGdPQFgCdxIU7j18hIWF\nxcvfnEtzZs1i44qvmFDTjdAnycw/d5/jp89k2Zx93759DOr9JjN8nXG0NGH9pWhinb3584C/1jMK\nYahy85xtiqIoRsBNRVHeVxSlK5nb7YkCoLyXJ+cO7wMgIz2dSyf8qVDe6yXvKnx27NjBiGFDmfTZ\nRB4/fpzr+S5cuUa91l04EmeLY9WGXL99N08KbXJyMvfu3SM9PT3HMatXLGOlnxcdPFx416c0PT0d\n2bhxY5ZxrVq14sNPJjByTwh9f73LXZPirNuwKdcZhSiMXuXMtg5wFSgCfA7YA/NVVT35kvfJma0B\nCA4Oxq95C8ysbYmPi6VSxQrs3rlDmlv8y9Kvl7Do82m8W6kYN+NSOBiRyunzF/PdAqBNGzcyfOg7\nWJgaY2puwfZdv1GnTp0s4zzcSrCuWVmqOmc2iBh3+AYlugxi8uTJ2c6bkpJCYmIiRYoUyZP7mwEB\nAaxc9jUZ6RkMeGcojRs3zvWcQuQXr715/L8msANUVVWfvOJ4KbYGIiEhgXPnzmFpaUmNGjXy3b02\nfSvh7Mgv7byf9ekdtO8aLUeO47333tNzsn/cvn2bejWqs7NzNSo72bLj5kMmnnnAndD7mJg8vw5y\n0RdfsGrhXMbVKMm9+BSWXQrnxJmzOmmAcfbsWdq28OODqq6YGxux6Px91m/ZRqtWrbR+bCF0ITdb\n7NVWFCUQuAgEKopyQVGUF96vFYbF2toaX19fatWqVagK7axZs7A1N8PESMHVwZ7Tp09nOy4pOYWi\nFqbPXjuaG5OUlKSrmNy5c4e5c+cyb968bLtHAQQGBlKrpCOVnWwBeMOrOKnJSYSHh2cZ+9GYMYyb\nNZ9dSgmC3HzwP3Y8zwptfHw8Go0mx1//etEXfFy9BKNru/NejTLMalCWxfPm5MmxhcjPXuWTdQ0w\nQlXVsqqqlgVGkrlCWeQhf39/Pv30U7799lt9RykU/P39mT19Khs6VSd0REv6l3eiXfNm2Y7t2bMH\nIw7e5Fx4LJuvhfFL0GM6dtTNZliXLl2iXs0a3Nmyils/r6RuDR+uXbuWZVyZMmUIfBhDVFJmz9nA\nx3GkZGTg6OiYZayiKAwaPJjtv+3hhw2b8Pb2znXOAwcOUMTaAjtbW6zMTZk+fXq249JSU7Ex++dM\n28bUhNSUlFwfX4h8T1XVF34B57L5XsArvE8Vr2bsuHGquaWVWrV+Y9Xe0Vmt5lNDzcjI0HesAm34\n8OFq+3IuauzoNmrs6DZqzKjWqqmRoj548CDL2JSUFPWTj0apVct7qk3r11WPHz+us5y9undVZzet\n+CznNN/yav/ePbMdO2nCOLVEUXu1dcUyqpOdjfrzpk06yZiRkaHaWJiqg2o4q7/0qqDObVlaNTcx\nUg8dOpRl7J49e1RXBzt1Q6ca6rYuNdVyzg7qD2vX6iSnELrwtPZlqYmvsnn8IUVRVgIbyeyV3BPw\nVxSl5tOKGqCNHwIKi/T0dL788kumrtlOuUrVSUqI55NuzVi+fDnvv/++vuMVWG5ubuyLiictQ4Op\nsRG3YxIBsl30ZGZmxoJFi1mwaLGuYxITFUlZO8tnr93tLQmIisx27Oez5/Jmz96EhIRQpUoV3N3d\nc3381NRUduzYQXR0NM2aNaN8+fJZxty5c4fUtHS6VMw8i/Z2tqKysyW//PJLlhaUbdu2Zdl3a/lq\n3hwyMjKYNPcL+g8YkOucQuR3r1Jsqz/959T/9/0aZBbf5nmaqAC5ceMGU6dPJyoqmg7t2/HB++9n\nWc0ZFhaGqkK5Spn/mS2tbShXqRpXrlzRR+RCY9y4caxeuoSmG09Sx9WeX2+E07tPn3y3CrtjtzeZ\nN+9zvBys0Kgw/9x9Rk0dkeP46tWrU7169Rx//b9ISUnBr4kvCQ/uUNzalPGfxrN52y+0bNnyuXGu\nrq5oVAiNS8HNzpzUDA0hsSk53gfu2rUrXbt2zZOMQhiKlxZbVVXzV881AxEaGkqjxo1p1WsIlWv5\nsXTl1zx+9JjPP3++J6ibmxtm5uYc/GUjfl17E3r7BpfPnGDKx3JW+2+xsbFM+HQMl86fp0Klysxd\nuCjb+5GvysTEhBvB9xg/fjx3797li1EdGDJkSB4mzhsjRr5PVGQkXZcvQ1EU3vtgNO8MHaqTY//4\n44+khd9hRiMnFEUhoJgJI4a9w43bd58bZ2Vlxdv9+vHphvXULmHDjcgkHIqVYOTIkTrJKYQheJXn\nbIsBs4ESqqq2UxSlEtBAVdXvXvI+9WVzF2SLFy9m95HTDJk0D4Dw0GA+H9yFyGwaIuzcuZNeffqi\n0WjISE9j8ODBrPxGOjj9T0ZGBk0a1MMrLYruHo78djeKU8nmnAo4n+/ORA1BRkYGc2bN5Jetm7G3\nt2fGnPn4+vpmGTdz5kzOb1pC/2qZP9TEJKczev9DomKzf/pv48aN7NmzB09PTyZNmlSoVrYL8T+5\n6SC1FtgL/G87khuAbjqhGzBFUeD//bCRU0OAzp07ExcTzdnTfxMdFZUnhfbhw4dUqFgRJ5fiVKla\nldjY2FzPqS83b94k9E4Qi5t60bSUI/N8PUmJjsixp694sckTJ7Bp1RLedInHJ/0unTu0IzAwMMu4\nJk2acPR+MvdiU0jLUPn5aiyNG2ctyv/Tu3dv1q1bx5QpU6TQCvH/vMrfCCdVVTcDGgBVVdOBDK2m\nKgC6d+/OxWMH2LFmKX/v38Oy8SMYMTznJggmJiZUrlw522b0/1VqaiqeFSpi6ehKt+FjyDCzpnRZ\ndzIyDPN/m7GxMekZKhmazB9eNCqkZWiyNGvQFlVVWfPdd/Tq1oURw4YSEhKik+O+juvXr7N161Ye\nPsx+wwCAH9etZYSPPZVdrGjmbo+fmwXbtm3NMq5JkybMmLeAiYcf0Xv7LdJcK/H9up+0GV+IAutV\nim2CoiiOZC6GQlGU+oDhniblICMjg59++omZM2fy+++/53o+Nzc3jh09gknsA64d3MHoEcOYPn1a\n7oOS+eH/osYBCxcuxNTMnE8Wf49f195MWP4Taenp/PyzYe5w4unpSfVatRi47xpbrz1g6P5rlPTw\nolq1ajo5/pxZM1k4eTzNE29jHehPwzq1s20WoW/9+vTGp0olPh7cn3Kl3Pjqq6+yHWdqakZi2j9/\nfhIzwMws+51Yhg17l5i4JyQmJfPnAf9816JSCEPxKsX2Y2An4KEoyjEyt9j7QKupdExVVd7q2YtZ\nXyzmzO2HDH//QyZP+f+Lr/87Ly8v1q/7gT2/7WbkyJG57iurqirjJ0zEytoaSysrBg0eQmpqapZx\ncXFxmFtYYvR0T1oTUzNMTc148uSVOm3mO4qisH3Xb9TuMZA9pqWo2KkPv/35V57suavRaEhISHjh\nmK8WLWJ9m4r08i7B5PoeNCluzebNm3N97Ly0Z88eft22lRNvN+LSkCZs6OTDhE/GkJiYmGXshElT\nWHQmij03o1l3MZJzkRoGvODxG0VRdHYVQYiC6qXF9ulztE2BhsC7QGVVVS9qO5gunTp1itNnA5iw\n8md6fjCeiau3smjRonx3n3PV6tVs2/kbi3YcZfmfAVy4cZtp02dkGTdq1ChioyLYtGQOtwLP8f2c\nz0hLTaF///56SJ03LCwsmDp9Blt27mbmnDlYW1vnes4tW7bgWMQep6IOVPOuwK1bt7Idl56RgcW/\nCruFkZLvLskfOXKEGi52lCtiBUDzMk6YGilcvnw5y9ihw4axYs2PpHi3xK15T/4+e46SJUvmOoNG\noyE8PJy0tLRczyVEQZNjsVUUpY6iKMXh2X3aWsAsYKGiKAXqWlJ0dDROriUxMc1c2Wrn4IiVtQ1x\ncXF6Tva8/QcO0rLXIIo4uWBla0eHASM4cPBglnHFixdn56+/cGT3FuZ90I8A/734H9iPpaVlNrMW\nTteuXWPk0CHs7FSVh+/50be4MV07ts927MBBgxiy/zoHQyJZdeEeu+9G0aVLFx0nfrF69epx4XEc\nYfHJAJwMiyZVo8mxFeMbb7zBmnXrWbzka0qXLp3r4wcGBlKuTCkqeLhTtIg9GzdsyPWcQhQkLzqz\nXQmkAiiK0gSYS+Yl5Fhglfaj6U6dOnW4H3SDY3t+IS46kh3fLcHZ2YkSJUq8/M06VLxYMUKu/3Om\nEnztEsWLFct2bKtWrYiOeEx8bAyRj8OpW7eurmIahDNnztC0jBPVXexQFIXh1UsRdOdutpfa5y9c\nRMchI/jyvsJxqzLsP3yEsmXL6j70C7zxxhv4tWxN7R+OUv/HY3TZfpYJk6fmyYK7l1FVlc4d2vGG\nm8q6zmWY1bQY7783jBs3bmj92EIYihyfs1UU5YKqqtWf/vsy4LGqqtOevj6vqqrPCyc2sOdsz549\ny+B3hhJ89y4+NXz48YcfKFWqlL5jPSc8PJz6DRpSzN0LcwtLrp49wWF/fypWrKjvaAbnwIEDjHy7\nJ/7dfbA0MebS4ye0+/U80XFPDPqxlWPHjnHx4kWaNWuWJxsMJCQksH79eqKjo2nVqhW1amXd8Csy\nMhL3Um6s71L22fe+OBPDyM8X07Nnz1xnEMKQ/Of9bBVFuQT4qKqarijKNWCYqqqH//drqqpWeckB\nDarYakNAQADjJ04iOjqK9u3aMXnSZ7leaBITE8POnTtJT0+nXbt2uLq65jpnTEwMJ0+exMLCAl9f\n30KxGEZVVQb27cPf/n9R1dkO/+DHLPlmFb169dJ3tHwjPj6ehnVrY5McSTFLhcOhiXz3w/osl9DT\n09MpWsSeGb4ulCtqQWJaBmMOhLN19x80aNBAT+mF0I/XKbafAe2BCKA0UFNVVVVRFE/gB1VVG73k\ngIW62AYFBVG3Xn26vfcprmXK8cuqRTRvWI+vFn+p72jPuXXrFs38muNUsjTxsTEUd3Zk394/CsX9\nXVVVOXDgAGFhYdSuXTtPzgTT0tLYv38/8fHxNG7cmGI5XOY3BCtWrODHBVMYV88RRVG4/CiR1TfS\nuR1yP8vYLVu2MPydwXgXs+FOZCLde/VhybIVekgthH7952L79E31AVfgT1VVE55+rzxg87Ldfgp7\nsV20aBF7T11g4PhZAESGP2By37ZER2a/Y4u+tG3XASfvmnTo9y4ajYavxw2nS8smjB8/Xt/RDE5y\ncjKt/JoSEXKLolZm3IhM4s/9B6lRo4a+o72WWbNmcW7jV8/aNUYnpfPRgZzbNQYFBXH+/Hnc3Nyo\nV6+eLqMKkW/kVGxfeL1QVdWT2XxPVj28AlNTU1IS/3l+MzkhHjNT3fXxffLkCdOmz+Da9etUq1qV\nKZMnZXu2eufuXZoNHAWAkZERFWs14PaduzrLWZCsXr2atIdBzGnijJGisP+OwohhQzhx2jB3oWzV\nqhVfzp9DHVdLStia8cOlWNq0bp3jeA8PDzw8PHSYUAjDYbgrQfK5nj17cvPcKTZ+NYuDv25iydhh\nfPLJGJ0cOz09nZat2xBw4y7lm3bk0JkLdHqjC9ldaahTpxYHtq1Ho9GQ+CSOk3/8Sp3aWRfBFGbp\n6em80bEDpZ0c8Crtxu7du7MdF3z3DuXtjDB62rykkpMl90OzXnI1FHXr1mX56jUsv5LKB/se4FLd\nl1Vr1uo7lhAG6aW7/rz2xIX8MjLA/fv3WbDgCyKiIunQrh29e/fOk3kjIiJITU3N8dGkM2fO0L1X\nH2b//BdGRkZkpKfzceeGHDt8CC8vr+fGRkdH07HzG1y+fJm01FT69evH8mVLDXpFbl5rVK8Ocbev\nM6WRF9ej4pl9IoiDR49luVS6fft2xgwfzPRGztiaG/PdhSgsKzZgyy879JRcCKFrr3UZWeROyZIl\nWZyHC6JSU1OpWbs2165cBQWKlyjBxXPnsvSrVVUVI8XoWXtIRVEwMjLK9szWwcGBo4cPER4ejoWF\nBUWKFMmzvIYgISGBqKgoXF1dc1yFHRAQwOn+vpS2s6SNuzNXI+OZN28e27dvf25c165duXAugGHz\n52OkKNSuVYN1332vi9+GECKfk9MXA9Krd28SMxRWHrzImqPXKOZegdZt22UZ5+Pjg4O9LWvnTOT8\nsYOsnj4GL09PPD09s51XURSKFy9e6Art6tWrKObsSM2qlShXplS228wBKChk/OsHlXSNmm2fa0VR\nmP75TGLjnvAg/BGHj53Mk8b9x48f550B/Rk6aACnTp3K9XxCCN2TYmtAzl8IpG2vwVjZ2GJqZk6H\nt4dy925wlnGmpqbs3/cnHs52/P3LD1T3KMXvu3fJpeF/CQwMZMInY/iiRUm+a+9Gt9IKb3Ron+3Z\nf/2GDXjr1wC233jInBO32B30iMmTJ+c4t7m5Ofb29nmS89ChQ3Rp3xbPu39T7vYpOrZuxfHjx/Nk\nbiGE7shlZAPi7OTIlTPH8e3QDUVRuBrwN7a2ttmOdXBwYMXyZTpOaDjOnz9PNVcbSthmrhD3K2vH\nyoDbPHnyBDs7u+fG/nXwEP369uXzQwewtLbltz//wsfnhQ3U8sxXC+YxtW5p+lV2A8DCxJglX8yn\n4fZfdXJ8IUTekGJrQDZt3EA1nxpMunkVcwtL7l6/zL69f+g7lkEqW7YsNyOSSEyzxcrUmOuRyVha\nWmT7w4uRkRE/bdyoh5SQlpqKtek/f01tTI1Jy2ZbRZH5uJuZmRnm5tnvzSuEPsl1RQPi7u7OnaBb\nvP1mF7q0ac61K5fx9fXVdyyD1LhxY7r16svo/Q+ZdSqauaciWb9hU673HM5r/d4ZxtRTwey985jf\ngx4x/XQI/Ye+q+9Y+UpsbCytmzfDxckReztbJo4bm+3tACH0SR79EYVaQEAAYWFh+Pj44Obmluv5\nbmS7q34AABZnSURBVN26Rbdu3YiPj+fDDz9k9OjRuZ5zw4YNrFqyGIARH39Cjx49cj1nQdK/T2/C\nz+5neI2ixKdmMO14BDO/XJ5nj9oJ8V+8VrvGXB5Qiq0oVC5evEi9Wj6ULWKBs5UJp+7H0+2tnmzU\n0yXowsKzTClGVzGltH3m5eMd16KwrNeVpSu+0XMyURjJc7ZCaFmrVq2oXsyaCY1LoigKx0LiWLZt\nMyDFVpvcSrlxNSKY0vbmqKrKjdgMOpQpq+9YQjxHiq0QeSQpMR6vclbP7vu6O1g893yuLgQEBHD3\n7l2qVauW43PVBc3XK1bRollTLkRpiEnOwMrZjQ8//FDfsYR4jhTbpxISEpi/YAFBt29Tp1Yt3n//\nfYyNjfUdSxiQ2nXqsfvEYXxL21HU0oSfLj7GVId7A4/79BN++G4VHo7WXA1/wrJvVtG7Tx+dHV9f\nqlatSuCVqxw+fBgrKytatmwpK5JFviP3bMncg9S3SVPMirjgXdeXk3u241OpAuvWSqu9gi48PJyH\nDx/i6emJtbV1rucrXdKVBw8folHB0tSYwyf+pmbNmnmQ9MXOnTtHu+ZNWdSiODZmxgTHpDDx0EMe\nR0Zh8X/t3XlcVWXix/HPo4CxXERCFE0R9yX3fU8zG1vMUsdsUcs0bXG0xsxqyqxcyszRaiors9IZ\n66fZNmokSBmauyamBaJYOgq4JAiynd8f3DFLaUQ5HLj3+/5HOZx77vflS/je5zznPOeyy2x/fxEp\nVNScrVfc+lNQUEBBQUGR34+Pj+foiZOMeXYuvQbcyoQ577Bs2VLS0tJKMaWUtlkzZ9K4Xl2GXt+X\n+pG1S2QpxJSfD5F1OpcTv5wk43ReqRQtQEpKClGXBxLkV3g2JjKkEpV8KpBexp6fLOKtPLps8/Pz\neeDBcQQEBuIfEMB99z9Afn7+Ofvl5ORwWUDgmeUM/fwq4evrR44WD/BYmzdv5qXnp7NuaHvWD27N\n7C6RDB5wU4ncn+nj40NQUFAJpLxwLVq0YM+Rk+w9lg3A2pRfqOQfQLVq1Uo1h4icn0eX7YuzZ7Mm\nfgPzVmzg5VWb+HrDZl6YNeuc/Tp16kTG0VQ+emMOP2zfzNvPPUrz5s2JiIhwILWUhl27dtH1isup\nEVR4ivX6euGkHzvGyZMnHU52caKionj9rQU8+fURRnyawuKkPD7998oin2QkIqXLo8s2JnYNfW8b\nSVDlKgQFh3Dt7aNYHRN7zn4ul4u4NbHkpe7no7lTiaoazKcfLy9zqwlJyWnUqBHrfkon9dRpAFbv\nT6Oyy1XkWtPlweDBg0k7eoxdPyax/6eDJXIKe8uWLXRs15amDeoyadKkEkgp4p08+mNv9erV2b8n\ngfa9Cx9Dt39PAtWrVz/vvrVr12bZ/31YmvHEQR06dGDUA+PoNOcl6oQGk3LiFB8u/7jcf8Dy8/Mr\n8v94cSUkJNC1UweuiQqmTYgfb86bzb7kvSz5QD8nIsXl0Vcjp6Sk0LlLVyKbtMAYQ3LCNtbFf0Nk\nZKSjuaTsSE5O5tChQzRu3LhEnj17/PhxFi1aREZGBv369aNFixYlkNIZN998M8e2xvBQlxoAJB/L\nZvLqA5zKyXM4mUjZ5ZUrSNWuXZsd27fx2WefAXD99e8QFhbmcCopS6KiooiKiiqRYx07dozObdvQ\nLKCACH8f+kx/jkUfLuWaa64pkeOXtuzs7DNXNwME+lWkoJzczidS1nj0yFakNM2YMYMdi1/jtasb\nA7By7xFmJGaxJeF7h5NdnBUrVnBz/xsY064aNVx+LNh6hMCa9dm0bYfT0UTKLK++z1bkUmRlZTF2\n1Ejq16pJ+5ZXEhMTc979jh1Np577YfQA9asEcuLEidKKWeL69evH3Ff+wZI9mcyIP0x4o1asXb/B\n6Vgi5ZJGtm5Hjx7lqSlPk5iURId27Xjsscla8k0AuOuO20nb/BVPdYjkx2OnGBeXSNy69TRt2vQ3\n+8XGxnLHwJt5/9om1HRdxkNfJVK7x7W8+sabDiUXkdKmke0fyM7OpsdVvfjh8HGa9L6JFV/FM2So\n568pa5e8vDyenfo0fbp14bbBA0lKSnI60iX56OPl/L1HAxqGBnF9vXAGNqjKihUrztmvV69eTJs9\nh7u/2keXDzZTvWMvXvz7PAcSi0hZ49EXSF2o+Ph48qjI8EnPYoyhVbfePNC3LYcPH9YKPBdh3H1j\nSVj9OX9pEcH2/yTQo3Mntu5MIDw83OloFyUoIICDGdmEBRSeIj50Ko/WRawQNXzECIaPGFGK6USk\nPNDIFrAsC1Ph11G/MYYKFSqUyNJ93qagoIAFCxfybt8m9KlTlYfb1aFTtSA+//xzp6NdtCnPTmPo\nyl3M2rCXMat388PpigwdOtTpWCJSjmhkC3Tp0gVyT7No9lSadezO2k8/oEvXrhrVXgRjDMYY8gt+\n/aCSV2CdWXe6NMTExPDe22/i6+fH2Af/QuvWrS/pePeMGkVknTp8sXIlzcPCeHXsWIKDg0sorYh4\nA10g5Zaamspjjz9Bovt5tk9PeQp/f3+nY5VLD4//C19/tIT7rqzOjvRMlh3IYMt3CSWyaMT/8vnn\nn3P37UN5pM0VZObmM++7Q0Sv+YpWrVrZ/t4iIkVdIKWylRJXUFDAy3PnsiZ6FdVq1OSJKU9Ts2bN\nUnnvPt27MKzyKQY0KFyycM6mZA7U78z8Be+UyvuLiHfzyhWkxBkVKlRg3PjxjBs/vtTfOzcnl0Cf\ns1Y98q1IXq4elSgizlLZikcZPnoMkx6bCEBmXj4vbP2ZxU+87HAqEfF2KlvxKHePHAnAvPmv4+N7\nGW+9v5jevXs7nEpEvJ3mbEX+h19++YWRI4YRHf0lVUKCeWneqwwYMMDpWCJSBukCKZGLNGhAf47v\nWsewK0P4+ZccZm1M58s1X1/yLUUi4nm0XKPI71iWxfr161m2bBnJyclF7rfyi2hGNK9CyGU+NAsP\noHutQFavXl2KSUWkvNOcrXgly7K4/97RrFy+lCZVK7Php3Teeu99+vfvf86+VSoHc+hkDsGV/LEs\ni0OZBYSEhDiQWkTKK51GFq8UFxfHPUNuIW5ga4L8fNj8nxMM/PdO0o6dOGe1qyVLlnD/6JH0rBXA\nwVMW2YHhfPPtRgICAhxKLyJlle6zFa+xdOlS3p3/Or5+foz76yP06NHjnH1SUlJoXS2EIL/CH4E2\n1YI5fTqHjIyMc5ZiHDJkCFFRUaxevZrQ0FDuvPNOFa2IFIvmbMWjLFmyhPGjR3KTOUzPrH0M6n8D\n8fHx5+zXpk0b4vansudoBgDvJvxMrRoRuFyu8x63Q4cOTJ48mXvvvderinbbtm3ccsN19OrckRdm\nzqCgoMDpSCLlkk4ji0fp1aUjY6rm0q9u4eP8/rF1P3tqteXt994/Z9+F77zDA/eNxa9iBUJDL+fj\nFSvPeSC8N0tKSqJzu7ZMalOTupX9mb75J/rcOoxpM593OppImaWrkcUrGAxnf8azLAtzzn/7QsNH\njCD9+Al2Je5lT/I+Fe3vLF26lAF1QxnVohZXR4Yx/+qGLHjrTadjiZRLmrMVjzJm/EM8PHY0mbl5\nZOTmM3v7QT6ecX+R+/v5+elRikXw8fHhdP6vn1xO5xVQsULFP3iFiBRFp5HF4yxfvpyFb7yGr58f\nDz48ke7duzsdqVw6ePAg7Vq2YFj9UOpVvozZ2w9y94S/MvGRR52OJlJmaQUpESm25ORkZj73LMeP\nptOv/wCGDR+OKeq8vIiobEVEROymC6REREQcorIVERGxmcpWiiUhIYHY2FjS09OdjiIiUm6obOWC\nWJbFg2PHcE33LjwxahhNG9Q/78pMZcFdw4dTIySYmpeH8OSTTzodR0RE99nKhYmOjiZ6+VI2Dm2P\ny8+HfycdYditQ0hMOeB0tN+4a/hwvlj2AS/3acapvHzuf346LpeLiRMnOh1NRLyYRrZyQX788Ue6\n1qiMy71wf9+oMJJ//rnMrZW76pOPmNenKX3qhNG/fjWe7NKABa+96nQsEfFyKlu5IC1btuTL/en8\nJ/M0AIu/P0Szhg3OeRyd0ypUrEhGbv6ZrzNz8vDx1Qmc38vKymLLli0kJiaiW/RE7KffQh7Msiyy\ns7Px9/e/5GN169aNMRMeov206YQFBVDg68dnq6JLIGXJGvXgeB6Y9ixHMk+TmZvPzG/3suD9RU7H\nKlOSkpK4ttdVVCrIIT0zi+v738T8BQvL3AcnEU+iRS081Nq1a/nzwJtJTT9GzYhqLF3+CW3btr3k\n46anp5OWlkZUVBR+fn4lkLTkzZ49m7f/8QoVfCry+JRnGDJkiNORypTe3bpwdcVjPNgmkszcPG78\n5DvGT3uRO+64w+loIuWeVpDyIkePHqVhvbrc19JF24hAvjlwknf3ZLN3/wGveharnF+Nqpfz5U1X\ncoWr8IzHzPWJWFcNZtr06Q4nEyn/tIKUF9m1axfVXX60qxGEMYZutYPxr2CRlJTkdDQpAxo3asTy\nxCMAZObm8cXBDJo2a+ZwKhHPpjlbD1S9enUOHs/kl9MhBFeqSPqpXNIzsggPD3c6mlyk/171XRLz\nqvMXvse1va5iUeJW0jKyuL5/f2677bZLPq6IFE2nkT3U5EmP8O5br9OsagA7DmcyYeKjTJr8mNOx\npJhycnLo2qkD27bvAKBt69asXf8tPj6X9jk5KyuL3bt343K5qFevnp7kI1JCNGfrhdauXcsPP/xA\ns2bN6Nixo9Nx5CLccF0/dq9fw996XkGBZfFM3E+06vknli1f7nQ0ETkPla14BcuymPXCTBbOn4+v\nry8TJk1m2PDhTse6aDXDQrirWRAdaroAWHfgJIt+yCblcJrDyUTkfIoqW83ZikeZO2cO782dzbzu\n9TiVm8/Yh8dTJTSUG2+80eloFyUgKJh9x7LOlO2+49kEuoIdTiUixaWRrXiU7u3b8tfaFehV+3IA\n3vnuAJvDm7Nw8b8cTnZxYmJiuO7aa2hXIxDLgi2HMomOjaNbt25ORxOR89CtP+IVAgIDST11+szX\nR7JyCQgMcjDRpenduzcbNm8lstuNRPXoz6ZtO1S0IuWQRrYeLDc3l9TUVMLDwy/56tXyIi4ujkH9\nb2B0s+pk5hWw+Md0vl7/LY0aNXI6moh4AY1svcyKFSuIqBpG66aNuKJ6OHFxcU5HKhU9e/ZkZcwa\ncjr3x7/3IOI3blLRiojjNLL1QKmpqTSpX4/Ff2pCpxpVWL0/jTFrkkhKOUBQUPk9pSoiUtZpZOtF\ndu/eTf3Lg+lUowoAV0eGEervS3JyssPJRES8k8rWA9WqVYvEtOMcysgGYO/xUxw6kUlERITDyURE\nvJN3XDXjZerUqcOjj/+NnjOm0ToilC0H05n5wizCwsKcjiYi4pU0Z+vBdu7cSWJiIk2aNNFFQiIi\npUDLNYqIiNhMF0iJiIg4RGXr5SzLYu6cOXRt25qru3UhOjra6UgiIh5HZevl5syezfwXpvFolA93\nVj7F7YMHsm7dOqdjiYh4FM3ZernWTRvxfPMQOrrvyX1p417SW/Zh7iuvOpxMRKT80ZytnJevry8n\nc/LPfJ2RV4BfpUoOJhIR8Twa2Xq5Dz74gAljRvNQqxoczc5l/veprP12Aw0bNnQ6mohIuaNbf6RI\nq1atYsn77+IfEMiDEx6icePGTkcSESmXVLYiIiI205ytiIiIQ1S2IiIiNlPZioiI2ExlKyIiYjOV\nrYiIiM1UtiIiIjZT2RaTZVm8/sYb9P1TPwYO/jPbtm1zOpKIiJRxKttimvXii8x48SWu7DsQV93m\n9O7Thz179jgdS0REyjAtalFM9Ro05J6pc6nT+EoA/vn352hVuypTp051OJmIiDhNi1qUoIKCgt/8\n3Zhz/l1FRETO8HE6QHkz7oH7mf3keAaMnkD64YOsW7GMOXr+q4iI/AGVbTGNGzeO4MqVWfbRclyu\nIOJiY6lfv77TsUREpAzTnK2IiEgJ0ZytiIiIQ1S2IiIiNlPZioiI2ExlKyIiYjOVrYiIiM1UtiIi\nIjZT2YqIiNhMZSsiImIzla2IiIjNVLYiIiI2U9mKiIjYTGUrIiJiM5WtAGBZFnpwhIiIPVS2Xi4r\nK4s7bx2Cf6VKVAl28fzM6U5HEhHxOHqerZeb9PBDHN8eT+I9PTiancOgl2ZRt14DBg0a5HQ0ERGP\noZGtl4uJ/oJH2tQiuJIPdSoHcE/jcGK+WOV0LBERj6Ky9XLh4eEkpJ088/XO49lUrR7hYCIREc9j\n7Looxhhj6YKbsm/Tpk1cd00f+kaGkp6dx75cH77ZuInQ0FCno4mIlDvGGCzLMudsV9nKvn37WLly\nJf7+/txyyy24XC6nI4mIlEsqWxEREZsVVbaasxUREbGZylZERMRmKlsRERGbqWxFRERsprIVERGx\nmcpWRETEZipbERERm6lsRUREbKayFRERsZnKVkRExGYqWxEREZupbEVERGymshUREbGZylZERMRm\nKlsRERGbqWxFRERsprIVERGxmcpWRETEZipbERERm6lsRUREbKayFRERsZnKVkRExGYqWxEREZv5\n2HlwY4ydhxcRESkXjGVZTmcQERHxaDqNLCIiYjOVrYiIiM1UtiIiIjZT2YrYxBjzuDFmpzFmuzFm\nizGmfQkfv6cx5tML3V4C73eTMabxWV/HGmPalPT7iHgiW69GFvFWxphOwHVAK8uy8owxoYCfDW9V\n1BWOdlz5OAD4DNhtw7FFPJpGtiL2iADSLMvKA7As66hlWf8BMMa0McasMcZsNMasMMZUc2+PNcbM\nMcZsNcbsMMa0c29vb4yJN8ZsNsasNcY0uNAQxpgAY8xbxpj17tff6N4+3Biz1P3+e4wxM896zUj3\ntvXGmDeMMfOMMZ2B/sDz7lF6XffufzbGfGuM2W2M6VoS/3AinkhlK2KPL4Da7hJ6xRjTA8AY4wPM\nAwZaltUeWABMO+t1/pZltQbud38P4Hugm2VZbYGngOnFyPE4sNqyrE5Ab2CWMcbf/b2WwGCgBTDE\nGFPTGBMBPAF0ALoCjQHLsqx1wCfARMuy2liWtdd9jIqWZXUEJgBTipFLxKvoNLKIDSzLynTPZ3an\nsOT+ZYx5FNgMXAlEm8JVXyoAB8966T/dr//aGOMyxgQDwcC77hGtRfF+bvsCNxpjJrq/9gNqu/++\n2rKsDABjTAIQCVQF1liWdcK9/UPgj0bSy9x/bna/XkTOQ2UrYhOrcMWYr4CvjDHfAcOALcBOy7KK\nOuX6+7lWC3gGiLEs6xZjTCQQW4wYhsJR9I+/2Vg4p3z6rE0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+ "image/png": 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V1q35EXd3d53EMG3qFIzGT2D5+PewsbFm9coV1K1b943rCwwMZNy48Uxav5tC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\ncXUo7jJvHuTOz6tjH+ieSxctpFt112vbCA6O8GD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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -183,33 +225,54 @@ } ], "source": [ - "X = iris_data['data']\n", - "itml = metric_learn.ITML_Supervised(num_constraints=200)\n", - "itml.fit(X, Y)\n", - "X = itml.transform()\n", + "plot(X_lmnn, Y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Pretty neat, huh?\n", "\n", - "plot(X, Y)" + "The rest of this notebook will briefly explain the other Metric Learning algorithms before plottting them.\n", + "Also, while we have first run `fit` and then `transform` to see our data transformed, we can also use `fit_transform` if you are using the bleeding edge version of the code. The rest of the examples and illustrations will use `fit_transform`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "### Applying Sparse Determinant Metric Learning" + "### Information Theoretic Metric Learning \n", + "\n", + "ITML uses a regularizer that automatically enforces a Semi-Definite Positive Matrix condition - the LogDet divergence. It uses soft must-link or cannot like constraints, and a simple algorithm based on Bregman projections. \n", + "\n", + "Link to paper: [ITML](http://www.cs.utexas.edu/users/pjain/pubs/metriclearning_icml.pdf). " ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "itml = metric_learn.ITML_Supervised(num_constraints=200)\n", + "X_itml = itml.fit_transform(X, Y)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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RrZ1RFIVJQW3Iz8sjOzvb1KEJIYTRSbJtJE6cOEGP1q74utgCMLxjC8rLSpvt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\n6eLUsxUROUsVFRVcMelSskPK+dOF8USX7eaaKy8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BwYIFzR1HiD/Jle1LqEuXLsyYNpXzOzZy48gO1qzyx8/Pz9yxMuXEiRNUrO1H/qIlAGjc\nvjvBV68QFxdn5mSZt3//fr744gu+//574uPjM92fpaUViSl/3eJJTDFgaZn+9+7l/quJdi9Fx3VX\n+DQglK+nzaBOnTqZzmAMQz/4gFIlitG/W0dKFC3M+PHjzR1JiD/JPdssFh4eTlRUFIULF5bN0E1o\n165d9Or/LuOW/YqtnT1Xzpzku+G9eRgWlqPv3S5ZvJgxI4bRsZQHFyITiXBwJ+DgYWxtbV+4z8DA\nQBrVr0fr4vbYW2msDXrMwh9X0KZNmwzfk5ycjIWFRbb9dxkYGEit6lWZ0rQIxVxtufQwns923SL4\nxi25whUmJfdsTWDMZ59TuEhRatf15ZUKr3Ljxg1zRzK5kJAQzp49myVXYP9Fw4YNadKwAZ91bs7M\nEf2YMaw3Py5dmm2Lw/P6eMQw1rYozzifkqx+/RXsYx6yfv36TPVZuXJldgXsQ1exGdHF/Vi5dsNT\nCy2ApaVltv53uX//fvLlsaaYa+qXkLIedjjbWOaKWfZ79+5lyKBBjPrkE27fvm3uOOIFyT3bLLJl\nyxaWrfRn2i/7cHJ1Z/OSOfTo2Yu9AbvNHc1kxo+fwLTp3+Lm4YU+Po6tv2+hYsWKJjm2pmksnP8D\nhw4d4v79+1StOpdixYqZ5NjGopQiKvYxxVzsgNRzLJbHhsjIyEz3XblyZRb/uDzT/WQXNWrUICRG\nz/0YPfnyWHMjMoHIxGSqVq1q7miZsnHjRvr36kHLonbc0iuqL1zA8VOBFCpUyNzRxH8kw8hZZOLE\niRy9eo9OQ0YBEB0Rzkdv+REdlfkPRnMyGAyMGDGCffv3U6RwYRYvXoyTk1Oadnv37qVTtx58vuRn\nnN082Pfrenau/IHLFy+YIXXu8WbL18lz9xKf1SzK+Ycx9N95mb2Hj1KuXDlzR8t2unXtwro1q8jn\naMP9mET6vfses2bPMXesTKlSoRxtPGOpms8RgEWBD3n1rX58OXGSmZOJjMgwspEVL16coFOH0Scm\nAHDmUADFihc3c6rMq1e/ASvXbqBk7cZcvh1KiVKlSUhISNPu/PnzVKjpi7ObBwB1X3+Tq0GXSUlJ\nMXXkXGXpT/7oi1fCd+0pRp8JZ8WadVJoM7Dip5Xs3nuAoeO+5uDR42YptJcuXWLTpk1cunQpS/qL\ni4vDxeavAUhnK424x4+zpG9hYkopo/ykdv3ySElJUW936qTyFy6qKtX0UZ5eedWJEyfMHStdSUlJ\nyreen7K1d1D2jnlUhw4d0m0XFhamLCwt1fc7A9XKk7fVimM3VL7CxdWUKVPStN2xY4cqWLS4WhBw\nTq08eVsNnTpfFS1ewtinIkxg8ODBqmyxIqp6lUrq1KlT5o6Tbc36bobycs6jmpUtorxc8qhZ383I\ndJ+fjxmtyhdwU9NeK6o+8yuo3J0c1f79+7MgrTCWJ7UvTU2Ue7ZZRKfTsWrlSk6cOEFkZCRVq1bF\nzc3N3LHS1ebNN7kVEsaXK35DnxDPN0N7MeSDD5j53Xf/aBcREYGFhSWOzq4A6CwscPH0Ijw8PE2f\njRs3pkPbt/i4fSPy5i/Ew/t32LzpF5OcjzCeN1q24EjADjq84s7tqFvUqVmdwLPnKVOmjLmjmYz/\nypWsX+2Pk4sLH386Jt1zDwkJ4fPRownoUI0iznbcio7Hb/SntG3fgfz587/wsT8fNz51PoL/T9jb\nO7NkxVzq1q2bmdMRZvLMe7aaptkA7YCi/G1ClVJqwjPep57VtzAPz7z56D9+OhVq+QKw55fV7Fw5\nn6tB/1xxyWAw4JnXm2qNXuf1Ln25eOIwy6aO5dTJExkOZQYFBfHgwQMqVKiAi4uL0c9FGJetlQXf\nvlaEgk42AEw5cJf8tZqzZs0aMyfLPIPBQHJyMtbW1hm2mTNnNl+PHU37Ug48jE9h681Ejp48lWby\n3fHjx+nT9g32tav052t+60+zYP0matSoYbRzENlPZu7Z/gK0AZKBx3/7ETmUtbUVYffv/Pn7gzu3\nsLe3S9NOp9NxcP8+go7tZ0y3lmz4fhorli976j3D0qVL4+vrK4U2lzAohZ3lXx8T9la6XLERwcQv\nv8DB3g5He3taNW9GTExMuu2mT53M0GquNCzmTIdX3PDJZ8WyZcvStCtZsiT3ouPYfyd11OfAnXDu\nRsdRsmRJo56HyDmeZxi5oFKqudGTCJP5csJ43h04iDtXL5EQH8fB33/mj21b021bpkwZblwLNnHC\nv+j1etp16MCZM+dwcXFm5YrllC9f3mx5Xjbly5Vj6oHr9KjsyZ0oPXtvxLBl/hBzx8qUDRs2MP+7\nacxtXggnG0vmnQrk/fcGsHTFyjRtU1JSsNT99TFppYOU5OQ07VxcXPBft57OHdpjqSmSlcbKtetw\ndXU16rmInON5rmwPapr2qtGTCJPp1asXG9evQx96A5v4CPbtDci2yzVWrV6di9du0WbAcLzLVqJm\n7Trcu3fP3LFeGoeOncCzTGWmHg5jw/UEFi79kUaNGpk7VqYE7N5Fo4LWuNtbYWWh8VYpR/buDUi3\nbb93BzInMJIT92LZdjWSXbcT6NylS7ptmzRpwt3QBxw9fY67oQ9o2rSpMU9D5DAZ3rPVNO0soEi9\n+i0FXAMSAY3U2VZPXa1A7tmKzIqOjsbVzY35u89i75gHgHG93qJNs4ZMmTLFzOlETjV58mS2LPiG\nYTXc0TSNXdejOJaSnwNHj6dpq5Ri9szvWLfaHycnZz7/YqLcgxVPldE926cNI7cyYh6RC6WkpLB5\n82YePHiAj48PFSpUyFR//9/2z+Jv2wFaWlmRnM4wnsh5Hj58SGJiIvnz5zfpUpCDBg1i1YpljD34\nAFdbS86GxrFt5w/pttU0jfc/GMr7Hww1WT6ROz3PbOTlSqnuz3otnffJle1LJCUlhVat23D99l0K\nlizLyb07mP/9PNq3b5+pfkuUKo29W15a9hhA0OkT/P7TAi6cO5vjl2J8mRkMBgb07YO/vz/WVhaU\nLfcKv239w6T3NxMSEvjtt994/PgxjRo1ks0KRJbJ6Mr2eYrtSaVU1b/9bgGcVUq98oz3SbHNBeLi\n4hj16WgOHT5M0SJFmTrla4oUKZKm3caNGxk17gvGLNyAhaUlwecDmTGsNw8fPMjU8WNjY3m9ZSuC\nrlwhj6Mjy39cmm23eHvZJScnM2TIEC5fvoyPjw/jx49Hp0s7LeSHH35g1hefMqaOO7aWOhYEhuNW\nuSHL/VebIbUwl+vXrxMeHk7ZsmVxcHAwd5ws85+HkTVNGwV8Cthpmhb9/5cBPTDfKCmFyRgMBk6c\nOIGdnd1Th3s7dOxEVBI07zucSycOU8+vPmfPnMbZ2fkf7UJDQylUshwWT/ZFLVK6PJHh4aSkpGRq\nq0FHR0f2Bex54fcL0zAYDJQpXhRDzEOq5XNg/vR97N6+jf2Hj6Zpe/zIIep6W2Fvlfp30bSIA/OP\nHzN1ZGEmSimGvj+Y5cuW4pHHjscpOrbt2JXp207ZXYazkZVSXyml8gBTlVJOT37yKKXclVKjTJhR\nZLF79+7hnb8A9Rs2olqNGhQvWSrd9Y4jIiLYs3s3AybMoFy12rzVfyjuBQqzd+/eNG19fHw4uXc7\n1y+eJSU5mY3zv6W2T13Z0/clsXLlSiLCQpnarAg9Knsx7bUiHD12nCtXrqRpW6JUGc5HpGB4MvIV\n+CCBYsVLmDqyyGIGg4ElS5Yw+L13mT59OomJiem2++2339i8diVzmhXgm/qetC1qSbdOb5s4rell\nWGw1TauqaVpVYO3///nvPybMKLLY6y1bUapKLRbsOcf8XWewcXKjXfsOadpZWlqmrrKTlASkfiPV\nJ8RjaZl2QKRixYrMnT2LaUO6806dkoRePs2aVf5GPxeRPdy7dw93eyusLVI/UvJYW2BnpePu3btp\n2n4wdCiaV3FG7HnA5wfD2RUKs+alP0HJ3MLCwsjn4YadlQ4Ha4tn7vv7Mhs4oD9TRw8n/shGVs2c\nSKvmzdLdiOTixYtU8rTGwTr1i3jdQo4EXTXfs/ym8rRHf/6/EastUB04TeowckXguFLqqTfO5J5t\n9uXulZdBk+ZQrlptAPb9up6tP87h2tWgNG379O3H0dPnqNe6E0GnjhAafIFjRw5ja2ubbt9KqdSF\nANIpyCL3Cg4OpkLZ0gyolpeq+R3YHhzJz0FRhEVEp/u3kpyczMGDB0lISKB27drpbtuYHeT3dMND\nl8igmt6ExSXx1b67DBo6XB49+5ewsDCKFynEgpaFsbeyIMWg+HB3KP4/b0kzx+LXX39lSJ/uTKzn\niYO1BduvRbEv1oXAc7ljO87/vFyjUqqhUqohcB+oqpSqrpSqBlQB0n5dFUZx/vx5ihQvgYOTM175\n8rNly5ZM9+ni4kLggdTvUkopTu3fSb58edNtO/+H7+nd5W3Czh2maslC7AvYk2GhhdQ/NCm0L58S\nJUqwdMVKfjwXQd9NwfxxK5GtO3Zn+LdiaWmJn58fzZo1y7aFFiAiMor3aniTL481FfM60LqMK/4r\nfzJ3rGwnLi4OWyvLP5f2tNBpONtaERcXl6Zty5YteaNDFwb9cZcRe8LYcCOZFaty/lrbz/I8s5HP\nK6XKP+u1dN4nV7aZlJycjEdeb2o3a03Tt3ty5lAAa+ZM4dKF8+nOCH5eJ0+epF79Brh7FyApMYGE\nxzGcP3smU7uTCGFuISEh1PetS8TDB3jmL8jBQ4fTTOT7rxytLRjpW4DK3qmzZacfusc9q7xcDko7\nCvQyMxgM1KpWhQL6EJoUdeBUSDx/3FecvxSU4Zepl2028vMUW39SNx5Y8eSlroCjUqrzM94nxTaT\njh07Rv2GjVi498KfD/2P6d6K3p07MHr06Ez1/eDBA5YvX461tTW9evXC0dExKyILYRZ6vR4PZ0dK\nu1pTu1AeAm5EcSdW8TA6NlOT9Nq3b8+WXzbSqowrobFJHLkTw96Dh6lZs2YWps8dwsLCGDigH6dO\nnKB4ieLMnb/opdyI4UVWkPq/XsB7wAdPft8LzMvCbLnGgwcP+G7mTMLDI2jZ4nVatcrcIlxubm4k\n6fXExUbjkMeZlORkYiIeZcnD/15eXgwfPjzT/YgXk5CQwP79+0lOTsbX11e+7GTStGnTsNIUo/0K\nYqHTaFjUiR4br7Ju3To6duz4wv2uW7eO0aNHs3zZMuwdPNh7cLtZCq1er8fS0jLd55azC09PT9Zu\n+NncMbKtZxZbpVQCMP3Jj8jAo0ePqFGzFmVr1SdvoaL0e28QY+/e5d0BA164zxIlSlDh1VcZ985b\n+LV+m9MHdqMZDPTt2zcLkwtTi4yMpKGvD5axEVhbWBCWYsGeg4dkGD8ToqOjsbHQ0D25nrDUaVjp\nNKKjo5/+xucwceJEJk6cmOl+XkRsbCyd327Ptj92YGFpwZgxYxg95jOzZBGZ87TZyGuUUm//bUOC\nf5CNCP5p5syZrP8jgHe/+A6AG5fPM2tEX+7duZ2pfg0GA4MGDeLosWMUK1qUpUuXmuUqSCll0vVr\nc7MRHw4lbM8vzKxfGk3TmHD4GmHFqvLjylXmjpZjhYSEULxQAV4v5ULtgnnYfT2KgJsxPIyKwc4u\n7V7N5paYmMjmzZuJiYmhYcOGFC1aNN12vXt258bBrQyq6kZUYgoTDj5k2rxFtGvXzrSBxXN7kWHk\n/w8by4YEzyE+Ph5H57+Gd/O4uJGQEJ/pfnU6HfPmmW/U/vr163To2InAkyfIl78AS5cspnHjxmbL\nkxvcDL7K695Of355qZffmenXrpk5VeY9evSIMaM+4WrQJarVqM3YCRNMVui8vb35ZctWOrd7k+3B\nUdjY2rF7/8FsWWjj4uJo4OuD/uFdPOwtGT40ll9/34aPj0+atnv37GFohTxYWejwsNfRqIA1Abt2\nSbHNgTIstkqp+0/+sQmwVymVdikY8afWrVszeUo9ir9ahXyFi7NuzmQ6dexk7lgZCg8PZ+fOnVhZ\nWdG0adN0ZwMqpWjR6g2qNXuTD2b7c/HkETq83ZHTgacoVKiQGVLnDtV9fFixcA4tSnhhpdNYdukB\n1Zrm7MUSEhMTaVivLoWJoJanFXs3XuKtwJP8/scOk42ING3alIfRj01yrMxYuHAhlpF3GV03dYu/\nA7d0DBqLQGobAAAgAElEQVTQl1Nn0z5n6u3tzdXwuxR2tkEpxbUYxWuyaUKO9DwTpAoDP2iaVhQ4\nQeoEqX1KqUAj5spxypUrx6ZffmbkJ6OIjIyixevNmTTxS3PHSte1a9fwredHwVLl0CfE88mnozm4\nfx9ubm7/aBcWFsa9u3f5vMe7ALxaqx5lKlfn2LFjUmwzYfiIkZwLPE3pxZuw0GnUrVuXLyZ9be5Y\nmXLkyBH0UQ/p5+eBpmlUzedI3y2HuXv3ruyo8y/3792lmCN/fgkp6WbL8qD0N+z4bu73vNakEWfC\nFZEJyRjyeDJ48GBTxhVZ5HkmSI0F0DTNDugHfATMAGTR23/x9fXl4P595o7xTB99/An123ajde/U\n/2iXfPUpEyd9xbRvpv6jnbOzM0lJSTy4ewuvAoXRJyZw9/pVvLy8zBE717C0tGT5qtWEP9mowcPD\nI8ffD9c07R8TO5QinZkeAsCvfgP6LfyeBkX1uNlZse5yDPX8/NJtW61aNU6dOceuXbuwt7enVatW\n2XJoXDzb8zxnOwaoCzgCp4D9pF7Z3n/G+16qCVI5Sc06PjTv8yHlqqUuo7b313U8On8k3bWMZ8+Z\nw4QvJ1KlXhOCz52ieuWK+P+0IscXB5G1EhMTUxc1SHlEZU8rAu4m4lyyMr9u/SNb/q1ERESwYsUK\n4uLiaNmypcl3nPl22jd8NmYMSUnJNGrox6q1G3BxcTFpBmEcmdrPFkgGfgMCgENKqfS3c/jn+6TY\nZlPDR3zEgVPneG/iLJL0iXw7tBfv9erO+++/n277w4cPc/z4cQoXLswbb7yRLT88hflFRETw2ehR\nXLl0kWo1a/H5uAlPXdrTXB49ekSNqpUpbJ2IizXsvR3Hup830ahRI5PmMBgMJCcnY21tbdLjCuN6\n4WL75M1OpF7d+gIdgAdKKd9nvEeKbTaVkJBA1+49+HXzJgD69u3HrJnfZesH5oV4lgMHDtCxbRui\noqJwd3Pj5y3bqFy5cpp2EyaM58BPsxlUzQOAw3di+CPKheOnz5k6ssiF/vNGBH97YwVSl2jsCXQk\ndROCXVmeUJiMra0t69euISI8nOioKObMniWFVmRbcXFxHD9+nKtXr2bY5uHDhzRr1ICG3jq+alyI\nai7J+PnUSnef5vCHD/G2++uzMH8eayIjo4wR3aRu375Ns0YNyO/lgZ9PLYJk/eZs5Xk+Yb8G8gAz\ngXJPdgP63LixhCnY29tjY2Nj7hhCZCgoKIjypUvS661W1K1elf693yG9EbMNGzbgaqujQ3l3Cjvb\n0KOSJ5bKwK5daa8LWr7Rmm03E7jyKJ5HcUksvxBNi0wurWpuSUlJNG1YH6+IS4yv7UxZ/S0aN/Aj\nNjbW3NHEE88stkqpVkqpKUqpg0qpJFOEEkLkbmvXrqVQgfzk8/Jg5MiRGbbr070rA0u7cKB9ZU51\nrcmx7b+zZk3a7dhcXFx4rDeQlJJaiPUpioRkQ7rriDdt2pRJ30xnxpl4Rux5QMWGbzD12xlZd3Jm\ncPXqVR5HRdChrAt5Ha1pVdoFJwsDp0+fNnc08YSMHQohTGr16tV069yRqnkSaJpPx+zp0+jatWu6\nbS8FBfFmydS9lh2tLWlaIA8XLqRd/KF9+/Y4OrsydvctfrkUzqc7b1GoUKE0G5f/X+8+fbh9P5RH\nkdEsWLwkx4/wODk5EROfSHyyAQB9ioGIuETZ4CIbkWIrhDCpYR8MoWUpV/pUzUv78u58WCcfm9en\nv3l42dKl2XglFIBYfTLb78ZQvnzarbR1Oh2Xr92gnF8LTiZ5UKdlB84HZXyPN7cpUKAAnTp3YdyB\nh6w595AJBx9S168BFSs+dQl7s7l9+zbvDejH223bsGTx4nRvDeQ2zzUb+YU6ltnI2dqxY8dYseIn\nrKyt6Ne3L2XKlDF3JPGSyOvuSqsi1rQpm7pi2eWH8UwIuENMYnKatkFBQTRv3BB7lUxYbBxvte/A\nvAWL5PGzdCil8Pf358zpQMqULUePHj0ytZevsTx48IDKr5bH10ujgKMlm67H02vQh4z5LHdMBfrP\nj/5omraZp6wBo5Rq/YwDSrHNpvbs2UPb9h1o2qk3+oR49v7iz76AAF555RVzRxMvgYEDB7Js4Q+M\nqJufPNYWzDxyHzvPgly6Epxu+/j4eC5evIizszMlSpQwcVqR1ebMmcOGmeP5oJo7APdj9Hy6L4xH\nkZnfDjE7eJFdf74xYh5hRl9O+orOH36Ob4u3ALCxtWP6jO9YMP8HMycTL4O5c+dy7949pv3+K0op\n8hcqwpnzFzNsb2dnR9WqVU2YUBhTSkoK1n8bmbC20EhJMZgxkWk8bdefAFMGEaYTHx+Pk+tfmw7k\ncXUn7sY9MyYSWcVgMBAbG4uTk5O5ozzVzz//bO4IwkzatGnDhLGfUzgokgJOVqy/8phevXqZO5bR\nPc+iFqU0TVunadoFTdOu/f/HFOGEcXTp1JFV331J0OnjnD2yj82LZ9K5Y0dzxxKZNHHiROxtrHBx\ndsbJzoZff/3V3JFENhUYGEibls2pV7sGUydPxmAw3ZVlkSJF2L13HyF5K7Et1pMO/YbwzfSc/ejV\n83ietZH3A2OB6cAbQC9A96yFLeSe7dN99tlnrPBfhZWlJWM/G5Phow/GoJRi+owZLF6yFEtLSz4a\nPsykxxf/zaVLlzhw4ACenp60bNky3UkvR44cob6vD2PrF+QVTzu2XY3kxzOPiIh5LGvvin+4evUq\ntatXo30pO7wdrVhz+TFv9ezHxK8mmztarpCZjQhOKKWqaZp2Vin16t9fe8b7XspiazAY0Ov1T12A\nfcgHH7B02Qo6f/ApcbHRrJ0zlWU/LuXtt982YVKRE2zatIl3unWheoE83I7WU+SVyvy29Y80BXf0\n6NFsXvQdXzb6a5/hzuuCCDh4hOrVq5s6dpa6cOECO3fuxMXFhfbt28sWc5k0efJk9i+dRr8qf01Q\nGnsogpCH4WZOlju88NrIQKKmaTrgiqZpgzVNe4vU7fbEv8yZO5c8eZxwcnamXv0GhIWFpdtu5arV\nvPfFDBq06UiLrv1o0+d9vpz0lYnTCnMaP348+T1cyOfmzOBBgzJsN6Bvbz6u5c7gKi5MqufJnUun\n2bBhQ5p2JUuW5HZUIvFJqcOB92P06FMURYsWNdYpmMS2bduoX6c2gUtnsHTCKPzq1CI+Pt7csXI0\nCwsLkv92HZRkUNnyEaHc5nmK7QeAPTAEqAZ0J3VTAvE3AQEBTPhyEhP9t7LkQBDOhUvTM4Ob/kop\nLCz/mptmaWVl0nsmwry+/vprpk6cQLeyDvSukIefFs9Pt+AqpXgYHkEJt9RREgudRlEnS0JCQtK0\n7dmzJwWLFuP936/zzYF7DP/jBh07dsTDw8Po52NMHw56jx8alWa6Xyk2tCyPZ0IES5YsMXesHK1z\n586cfJjCqvPh7LkexbRj4XwwbLi5Y+V6z7M28jGlVCwQDQxRSrVVSh02frSc5cCBA9R6rTV5CxVF\nZ2HBG70GcWD/gXTbtnq9OT+MHcbxPdvYu3ktG+bPYOiQ9PeSFbnPonmz6VnZC9/CTtQqmIf3auRl\nw6oVadppmkadmjVYczGSFIPiZmQiR+4+xsfHJ01bnU7H6fOX+GjsREo0asuCpStYsdLfFKfzD1FR\nUVy4cIHHjx9nSX8PH4VT3iN1IE3TNF5xtslwxEg8nwIFCnDo6DEcqrXgllc1xk2ZwUcjPzZ3rFzv\nac/ZAqBpWnVgCak7/6BpWhTQWyl1wsjZjEYpxdy5c1m5ajX29vaM+XQU9evXz1Sf+fLl4+am3zEY\nDOh0OoLPn8Y7X7502/7444/079+fldPGodPp+Gril/Tt2zdTxxfGs3fvXvbt24e3tzfdunXL9Dq6\nOgsL9Cl/7emhT1Gk3qlJa/X6jbRr8wZvrzuFvZ0dc+bOo1q19KdL6HQ6Pvroo0xly4wVy5fz/sD3\n8HS0IyJBz6p1G2jcuHGm+mzUqCFfHD3FFN+SXI+KY+WVMFabeJP33Kh48eIsWCwjBCallHrqD3AG\nqPe3332BM8/xPpVdTfv2W1W0dFn18ezl6r0JM5Srm7s6duxYpvpMTExUDRo1VmUqVlH1W76lXN3c\n1a5du7IosTCX7+fNUwXcnNXQGiVUo5L5VX2f2kqv12eqz4ULFypbS53qW9VLvVs9r7K30qnx48c/\n9T2JiYnKYDBk6rgvavfu3WrUJx+rb775RkVFRaXb5saNG8rdyVEd6V5XRQ19TW1uV115ujqruLi4\nTB07MjJSvdWyhbKxslJeri5q8aJFmepPCGN7UvvS1MTnmY18SilV5V+vnVRKPXVJl+w8G7lCxUp0\nGDaB0pVSrxB+XjiT/NbJTJ/+bab6TU5OZsuWLURGRuLr60vx4sWzIu5/smvXLi5cuEDHjh3x9PQ0\n+fFzim5du7D1l42goEnLVqxctRqd7p9Xl0opnB0d2NOhGiVdHTAoRfNfzjJy2mzatm2bqeMvWrSI\nKRMnoAwG+g0aYtYr0qdZumQJHw8bQuNCttyLg1DNiaMnA8mTJ88/2v3xxx9MGtyXTS3/WvKz4oqj\nbD94hFKlSmU6h1JK1kMWOUJmZiMHaJr2g6ZpDTRNq69p2lxgj6ZpVTVNy5FrqFlaWqJP+GtGoz4h\nHkurZ46oP1e/rVu3pkePHmYptEWLl+D1Fi35bMKXFCpSlB9+kOUX0/Peu++ya9MGVrasiH+riuzf\n+iv9+6Udxk9OTiY+UU8Rp9RHTXSaRnFnOyIjIzOdoU+fPly+dpOgG7fNUmgXzJ9P6aKFKVYgH5+P\nHp3hBL1PP/mIT2p50KmCB8NqeuBuiMHfP+294OLFi3MhNII7Man/XZ1+EE1Ugp78+fNnSV4ptCKn\ne54KU+nJ/4791+tVSN2oIMfdQBkx7EOGjxxBm74fEB3+kIBf/Pn6QPqTmcxNKcWaNWs4fuIEJYoX\np0+fPlhZWaVp16dPH6IfxzFzyxGcXN3YvnYZw0Z8xIABA8yQOnvb9stGJtYrQ+38qRuLf+VXhs9+\n3ZSmnZWVFQ3q+vDpgWBGVi9MYGg022+EMcHPz9SRn1twcDC3bt2iXLlyeHt7p9vm559/ZuLoj1nc\nuAyO1pYMWrEIewd7Pvl0dJq2MbFxeDr8tQG7u61GdHTaBeNLlizJ6HHjqT9uLKU9XbgcFsmCxUtw\ncHDIupPLQosXLWLCZ6N5HB9Pu3bt+G7OvBy/p63I3l7aLfY2b96M/5MJUsM+HJptd7wZNnwEv/z2\nO9WbtOLyiUN4u+Zhy6+b0wx5VqhQgXyvVKP3qIkAJMTH0bfeK6SkpN22LCdRSrFq1SoO7gsgf6HC\nvP/+kExviF2mSCF6F3PgvSpFAVhw+hbfX4nkyu2060M/evSIPt27snf/Aby9PJn1w4JMT/oxlsmT\nJjJt8teU8nThclgUS1b8xBtvvJGmXa9uXah0/zS9K6YugLH/TjhfBCdy6OTpNG27duzAreN76F7e\niTvRemafjCDgwCFeffXVdDNcv36dGzduUKZMmSy7qs1q27dvp3enDix/rRzeDjZ8EHCVcs3aMGP2\nHHNHE7lAZlaQygtMAvIrpV7XNO0VoI5SatEz3peti21OEBERQcFChZnx60EcnV1JTkpiTJfXWPnj\nEurWrfuPth07dmTPgcN8tWobdg6OHNz2Cwu//IT42Bgzpc8an306io0/LqRrSXeOP4znlpUz+48c\ny9RViL+/P316dGdglcLoNI3ZJ2/y/aLF9OjRIwuTZw2lFCtXrmTn1i14eudjxMiP070Xf+7cOZr6\n1SWgfVW8HWw4fj+SDr9f4H7YwzTLNX4weBBWx//g8zqp29WtuniP9QkubNuzN02/jx8/5v2B77Jt\n61ZcXV34duYcmjVrZpyTNZFhQz/A+fjvfFgj9VbPxUex9Nh3m8vXb5o5mcgNXmSLvf9bSuqjP/8f\nYwoCVgNPLbYvI6UUp0+fJiIigipVquDi4pKp/mJjY7G1t8fBKbUfSysrXD28iI2NTdN25cqV5C9Y\niCEtauOW15vQO7cY8+moTB3f3JKSkpj6zTTO96qLp70NSile33SWbdu20br1U7dTfqrOnTvj4ODA\nV19+CQbFT2u+4a233srC5Fnnq4lfsnzOdwx4JS8XLhzGZ80ajp0+k+ZvKzg4mErerng7pH4JqZ7P\nBUstdaPuggUL/qPt0OEj8Kmxiih9MnksdSwPCmPjr1vSPb6DgwOLf1xunJMzExc3N4Jj9X/+Hhzx\nGBdnZzMmEi+D5ym2HkqpNZqmjQJQSiVrmpZi5Fw5jsFgoHvPd9i1ew8e3vl5cOcmf2zbSqVKlZ79\n5gwUKFCAQgULsnrWVzRs25Vzh/cReus6NWvWTNPWwsKC0Pv3mD17NlevXqV3795UrFgxM6dkdklJ\nSWgauNik3qPWNA0Pe5ssWa6vdevWmSrYpqCUYvLXX7P/7eoUcU6dpNV120U2bNhA7969/9G2XLly\nnLwbTnDEY0q4OrD9ehiapSV58+ZN02+xYsU4FniapUuXotcnsntxRypUqGCSc/o7g8FASkpKunMQ\njGnQoMHUXrSI3tsv4m1nyeqgMFZvlC3/hHE9T7F9rGmaO6mTodA0rTYQZdRUOdDatWs5fvosX6/d\nibWtHXt/Xcc7vftw6sTxF+5Tp9Oxdctv9O3XnynvdaJosWLs2P4Hrq6uGb5n8ODBL3y87Mbe3p5G\n9f0YEhDE4IoFOBYSxbGQaOZncgGSnESflISTzV//mTpbW6DX69O0K126NF9N+5aGQz/A09GOmCQD\n637ZlGEhK1iwIGPGjDFa7qdRSjFh7FgmT5lMSoqBNq1asPQnf+zt7U1yfHd3d46cCuSnn37i8ePH\n7GrZMsN70EJklee5Z1sVmAVUAM4BnkB7pdSZZ7zvpbpnO3HiRI5evUenIalDt9ER4YxsW5+oyAgz\nJ8vZoqOj+XDwQA7u30/+AgWYMff7l+qDsU/P7tw5tJuPqhTk/KNYJp64w/HTZyhcuHC67SMjI7l/\n/z5FihQxWfH6P4PBwIwZMzhz5gwNGzakZ8/0l1D39/fny+FD2NiqAs42lry36zL56zVn9vfzTZpX\nmNfjx4+Jjo4mb968aSZ85mQv/JytUuokUB/wAQYA5Z9VaF9GlSpV4vS+HcQ8Ka77Nq/h1Ww+jJuU\nlERKSva+I+Dk5MSiZSu4eO0GO/cdMHmhTUlJYfKkSbRo3IDe3btx69Ytkx5/7vyFVG7dkVEXY9im\nPNm+JyDDQgvg4uJCuXLlTF5oAWpUqcSkMR8TvGcjg/v3oe2bbdJtF7BzO73KeODtYIOdpQVDKxdk\n7+7dJk4rzGnyV5Pw8nCjfJmSvFquDDdv5v7JaRkOI2uaVgO4rZQKeXKfthrQDripado4pZRsfvg3\nLVu2ZN/+AwxvU5c8zq7Y29nyx9bfzR0rXYmJifTq05d1a9egaRqDBg1m2jdTX7qFA/6/WP7TngV9\n/713ObvjNwZW8Cbw6lHq1a7JybPncXd3N0lGGxsbJn8zDZhmkuP9W0pKCpO/nsTvmzfh7uHBl19P\nTff+7vr16wm6dJH5bxTHwdqCsMdJvLd5Mzdv3qRIkSL/aOtdoCCBx+L/XBXqVGh0huuIi9xn9+7d\nzPxmMrNfK4SbnSXrL0XS5e32HDhyzNzRjOppV7Y/AHoATdP8gK+BZaTer5Xxnn/RNI3JX3/FteBg\n9u7eycXz50y+ilRycjI///wzCxcu5PLlyxm2++zzsVy9E8IPu88y6/djbNmxi3nff2/CpOaVlJRE\nz66d8XBzxcPNla4dO6R7HzQlJYXFS3/kp9fK0bKEF6NrF6eiiw1btqQ/czenCQ8PJzQ0lKfd7hk5\nYjj+82bQxC4Ur5BAGtTzTfcq5MqVK+TLY4WDdeq+qJ4OVthb6bh69WqatkM/HEZgghVtt1yg987L\nTDp5l29mzs66ExPZ2vHjx6mRzxZ3eys0TeP1Ek4Enjlr7lhG97Ria/G3q9eOwHyl1Hql1GdASeNH\ny5k8PT0pWbKkyWdYJicn07xFS0aN+4KVm7dTx6duhkVhz969NO/WH1s7e/K4uNKwfQ8CAtI+Y5lb\nTf5qEneO7uV6v/pc71efsFOHmPTFFxm2/3cpyukjACkpKbzTvSuFC+SndIliNG7gl+6qUJC60tLQ\naq5UyedAq9Iu1PS2YePGjWnatWrViltRegJDHqOUYue1SPQGqFWrVpq2Li4uHDkZSP8vvuGN4eM4\nde58jp85L55fkSJFuByRTFJK6hKhZx/EUSh/7h/ZeNpsZAtN0yyVUslAY6D/c75PZKGQkBBeb9mK\nO3fu4uLizGr/lVStmnZJ6rVr1xIaHs2YhRvQWVhw8cQh3n1vILdu3kjTtkD+/Fw7f5py1eoAcOPC\nacpl09V+jOHwvgD6lPXC3ir1KqxvOS8W7wtI087CwoI+vd6h67bNDKqQj8CwWM5EJvJjixamjvxc\n9Ho9Q4cO5cqVKzRq1IhRo9J/znr2rJkE7tnK4jeKYKXTmHvqMh8NG8oPCxenaWthoSPZ8NfXjSRD\n6r+Xf6tQoQKTJk9l9McfkZhswN7GiuX+qzNc7cvBwYGOHTu+4JmKnKx9+/asW7WSYbsD8M5jQ3B4\nPJt+y5633LLS04qmP6mbEDwE4oF9AJqmlUQe/TEJg8FApSrVKPZqVQYMGMmZg3uoV78B14Ov4uXl\n9Y+2ISEhFCpdDt2TD8Ji5Sry4EFouv1O+for6tWvz7Vzp9AnxBMZcoflhw4a+3SyjUJFi3Po9B5a\nlUx9BvVQaAyFyqU/8Wrm3Hl8M6UoK3Zsx7tUefavmYSbm5sp4z6X5ORkyhYrQp7kOOoXcmPmxH0E\n7NzO1h270rQ9euggfvmtsbVMHdhqUtiO1UcOp9vv0GHDmTJnOm2K2XH3cQrnIlJY8fbb6bYdNmwY\nw4YNIzo6Gicnp6w7OZGr6HQ6Vq/fyKFDh3j06BE1atTIcB3v3OSpj/48eaY2H/CHUurxk9dKA45P\nZik/7b0v1aM/xhAYGEgdn7osCDiPhWXq96JRnV5jYJ+ejBw58h9tjx49Sss32jByzgryFSnBmjmT\neXw3mJ3b/0i37wcPHrB9+3YsLS1p0aJFmi3TcrPQ0FD8atcin2UKmgZ3EjX2Hj5Cvhw8SWfu3Ll8\n9clwTr1TD2sLHSGPE6mwKIBbd++l+SD7bMxo9q+ez9Dq7miaxuoLESQUqcH6Xzan6VcpxZLFi9my\n6WfcPb0Y/fnYp86GFuJl90LLNSql0nzdVUoFZWUwkTErK6vUVXaSk7CwtEQpRZI+EUvLtP+31axZ\nk6lTvmZIn3bExz2mtk9d1q1ZnWHfXl5edO3a1Zjxs628efNy/MxZdu3ahVKKRo0a5fgrsfv371PY\nyQ5ri9Sr1bz21thY6AgJCUlTbD/+ZBTbtvzGx3vvYGulIzLFir2b0l+EX9M0evfpQ+8+fYx+DkLk\nZi/trj85RfGSpbBxdqdR264E7t/F+SN7uXPrZob3wpRSJCcnm3yCljCvc+fOUbNKZeY1q4BfITfm\nB97kh3P3eBAZk+6XM71ez4EDB9Dr9fj4+LxUIxtCGNML7/qTiQNKsc0CcXFxtGvfgUuXg/DO68Xa\nNavTLCwvsoe4uDhmz57NrevX8KnnR+fOnU06c3nJkiUMHzyQuEQ9bs552LhlW7qzgYUQxiPF9l8S\nExM5d+4c9vb2lC1bNsc/ziHMS6/X4+dTG6uIW5R2tiDgnp723fvy9dSp5o5mMvHx8Xw77RuCLl2k\nWs1aDBo0ON2Zy0LkZlJs/+bOnTs0atKUZAM8jo3Gp04d1q5ele5wm3i5Xb58mdfq+xHy8CF21lZ8\nOv4LPvroozTttmzZwkf9ezCpngeaphGdmEzfX28SGRWNra2tGZKbVnJyMo38fDGEBlPJ3ZID9/VU\n8G3CCv+M5w0IkRu98NrIOcn9+/cZPWYMg4cMYfv27Rm2GzhoMBXrN2fi6u1M3biX6/ceMG/ePBMm\nFeYWHx/Pzp072bFjB3FxcRm2a1S3No29rLnQpz6LXivPuNGj2LlzZ5p2cXFxONla/jlC4mBlgU7T\n0l2ZKieJiIigRbMm2FhbkdfDDX9//3TbHT16lLvXghhR053XSrrwaR0PNm3aREhIiIkTC5E95Zpi\nGxoaSo2atTgRfJdIS2e69XyHZcuWpdv24qXL1GicujCBlbUNFX0bc+HiJVPGFWb06NEjqleuyJB3\nOjG0V2eqVXqVsLCwNO3i4uIICY9kSoNyeNhb06SoJ82LebJixYo0bf38/AiO0LP1ahS3ohL5ITCc\n2rVq5vhZzj27dYbbZ1jWpjgfV3dmyHv9OXYs7Rq2iYmJ2FlbonvyZcPaQsPG0oLExERTRxYiW8o1\nxfbHH3+kTI269Bz5BS27D2DgpDlM+HJium3Ll3+FI9s3o5RCn5jA6b3bqVD+FRMnFuby2ehRFLeI\nYpKvOxN93SljE8uYUR+naWdra4ulTsfN6NTN6g1KcTUiDk9PzzRtvby82BWwl4vWRZlxLgnPKg3Z\nkM5zqznNrt0BdCvvgp2VjpJuttQtaM+ePXvStKtZsyZxWLP6QgRBj+JZEBhBqTJlKVSokOlDC5EN\n5ZqblI8fP8bR5a+dWJxc3TMcHpwzayZNmr3GqN1biYuJpn79+gwYMMBUUYWZXbsSRFUP6z+HfF91\nt+bQlbSPj+t0Ojp07EjT1evoWr4Ax+5HEpoE48aNS7ffChUqsHt/7lqJy83FmZuRiZT3skcpxZ1Y\nAx4eHmnaOTg4sGf/QT4Y9B4/XgmiarU6rJg9N1ftUypEZuSaYvvmm28yq2kzSpSvhEe+gqyeOYmO\nGSwrV6BAAU6fOsnFixext7enZMmSMhv5JVKzTl22rzxPtXypW+vtup1A/Q4+6bZd8dNKZs/2YdOm\nTZR9tQDbZ80y+V6xSimioqJwdHQ0+SS+WfN+oHePrtQpmMC9WAM2XoXp3Llzum0LFy7Mxs2/mTSf\nEFFznD8AABZkSURBVDlFrpqNvGPHDj4d8xnR0TG0af0GX34xQRZ3EGkkJibSuUM7duzYCRo0qF+f\nNRt+zpazhm/dusWbLV8n6GowoDFt+nQGvPuuSTOcOXOG3bt34+7uTocOHbCxsTHp8YXISeTRHyH+\nJSwsDKVUmk0dshPfmtVpaB3DiOpFuRYVR6tNZ9kgi1UIkW29FI/+CPFfeHp6ZutCq5Ti8IlTDKlS\nBE3TKOHiwOtFPTh69Ki5owkh/iMptkJkkalTp5LHxpI8Nha4ONhy/vz5TPWnaRoF83px+H4EAPoU\nA6fCYilQoEBWxBVCmNBLO4wcHBzM77//jp2dHR06dMjxz0MK89q1axctmjWh06selPe0Z+OlR5wO\nieexPjlT/W7fvp0uHdpRt5AHQeExlK9Rh9UbfpZZvkJkU3LP9m8OHTpEy1ZvUK1hc2IiHvLo9nWO\nHD6ULTcFFzlDjRo1iL95nklNigCQlKLotO4yR46doGrVqpnq+8aNGxw5cgRPT08aNGgghVaIbOyF\n9rPNrYZ/NJLOw8bi2+ItABZMGMGsWbMYO3asmZMJUwkODuann35CKUWXLl0oVapUpvqzs7PjUbIB\npdT/2rvzuCqrxI/jn8OmyOKukJqoaOWuuGemjriUmWOW2TqK1WSNpWbTTE3TqmZZ02KZ5ZSa2lS2\nTJmZW6mpuZC55K6lKAoCgoCAcM/vDxhzfm5j8PDAvd/3P3ofnnvuV18v+N7nPIdzMcaQW+DBYymR\nGZOoqCiioqKKPY6IuMcn3yIfTUmhXvRlpx7XaXgZSclHXUwkpWnr1q10bhdD0r9ncPTzmVzZoT2b\nNm0q1pgzZ84k8XgeL64+xNe7j/Hokv2EBVckOjq6hFKLSHnmk2Xbu1cvPnnzRTIzjnHo5z0s/Wgm\nvWN7uR1LSsnEp5/kgZaRjL+qMc9e1ZixrSKZ8OQTxRozKiqKpcu/Y3MazNqcgqkcweGUtJIJLCLl\nnk+W7fOTnqNJvQge6NeRZ0cM4qHRD3D99de7HUtKScaxNOqG/roxQ72wimQcK34xdu7cmdT0DNJP\n5LH3559LfZOMdevW0eKKy6gSFkrPbl1JSEgo1dcXkXPzybINDg5m1ox3yc7OIjUlhdEPPuh2JClF\nAwYPYWJ8ApuSMticnMH4+AQG3DjE7VjFkpSURL/esfSplskrsZHUTt/FtX1i8Xg8bkcrNfHx8TRt\nEk2FoEBaN2/Ktm3b3I4kcopPLpAS3zY8Lo5jaWn84ZV/AHD3qDHcXc4/iOL777+nUbWKdKtfuCDr\n5qZVGfbFfo4cOUJkZKTL6ZyXnp5Ov969uK1JRTq2bsi3vxyjT6+e7Nyzr0xuwym+xyevbMVZZfVX\nvv7DGMPYcePYfeAguw8c5OE//6XcfxBF1apVOZKZS76n8P/+WE4BOSfzCQsLczlZ6di8eTM1KwVw\ndVRlKgb40adRZfzyc9mzZ4/b0UQAla2UoM8++4x6EbWoWCGI3t27kZSU5HakUmetJS8vr9Rft0uX\nLrRq14m/f5fMzE0p/G1lMo888gihoaGlnsUNNWrU4EjGCbJPFgCQkZtPauYJ/e68lBk+uamFlLyt\nW7fS48rOzO5zBS1qhvPs2n38VKE2S1Z853a0UjN//nzi7rydo2nptGx6OR9++m8aNWpUaq9fUFDA\nnDlz+OWXX4iJiaFfv36l9tplwch77mbhZx/SvHoQPyTlclvcPYyf+JzbscTHaAcpcdTUqVNZPe15\nXr26cHOIkwUeIl5fSk5uLv7+/i6nK55t27axZs0aIiIi6NOnz1l3cNq7dy8d27RmTt8raB9Zhdc3\n7mdOYj6bt+8s91PU5YW1lvnz57Nz505atGhBbGys25HEB2kHKXFUjRo12J6WTYHH4u9n2JaSSZWw\n0HJftB999BEjRwznd1E12Xo0k+kxHfjgk8/OKNx169bRpV51Ol5SFYD7Wl/KxLXLSUtLK/dTmZ98\n8glz586ldu3aTJgwocxOTRtj6N+/v9sxRM5K92ylRAwcOJDw+o259vPNjF2xmxvmb+Hl16a4HatY\nrLX8cUQcH17TjDd7NGbpoFbsjl/LggULzjg3IiKC7UePk5NfeM9wV1oWHkpmu0Y3Pf7449xy02BS\nN3zN13OnE1UnkoyMDLdjiZQ7urKVEhEQEMCXi5Ywb948jhw5wh+7diUmJqbUc2RnZ5OamkpkZGSx\nr6pPnjxJemYWrWoVFmaQvx/Na4SRmJh4xrndunWjY49e9Ph4KW1qhbH456O8+toUAgLK97fY5Ocm\n8Ler69K8ViWstfx1yX7GjBnD22+/7XY0kXJF92zFa0x7cypjR48mpEIQIWFhfP7V1zRt2rRYY3Zs\n25relU4wtl0UW48eZ9AXW1iychXNmzc/41xrLQs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8uJit3/4zRgH6eSJyTppGFnGAMaaJ\nMSb6tEOtgV+AHUDNorLDGBNgjGl62nlDio53BdKttceBysDBoq8Pu8goC4FRp+VqfYHz1wHdjDGV\ni6a8bzjta8cpvMo+F+3PKnIOKlsRZ4QCM4p+9WcjcAXwhLX2JDAYeK7o+A9A59Oel2OMiQdeB4YX\nHZsETDTGbODiv2efBgKLFlxtAZ46x3kWwFp7iMJ7yGuBFcA+IL3onPeBcUULrRpy9qtwETkL7Y0s\nUkYYY5YBY6218S7nCCm65+wPfAJMt9Z+5mYmkfJOV7YiZUdZeef7hDHmB2AzsFdFK1J8urIVERFx\nmK5sRUREHKayFRERcZjKVkRExGEqWxEREYepbEVERBymshUREXHY/wGP/B0qgal5qQAAAABJRU5E\nrkJggg==\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -217,33 +280,47 @@ } ], "source": [ - "X = iris_data['data']\n", - "sdml = metric_learn.SDML_Supervised(num_constraints=200)\n", - "sdml.fit(X, Y)\n", - "X = sdml.transform()\n", - "\n", - "plot(X, Y)" + "plot(X_itml, Y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "### Applying Least Squares Metric Learning" + "### Sparse Determinant Metric Learning\n", + "\n", + "Implements an efficient sparse metric learning algorithm in high dimensional space via an $l_1$-penalised log-determinant regularization. Compare to the most existing distance metric learning algorithms, the algorithm exploits the sparsity nature underlying the intrinsic high dimensional feature space.\n", + "\n", + "Link to paper here: [SDML](http://lms.comp.nus.edu.sg/sites/default/files/publication-attachments/icml09-guojun.pdf). \n", + "\n", + "One feature which we'd like to show off here is the use of random seeds.\n", + "Some of the algorithms feature randomised algorithms for selecting constraints - to fix these, and get constant results for each run, we pass a numpy random seed as shown in the example below." ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "sdml = metric_learn.SDML_Supervised(num_constraints=200, seed = np.random.RandomState(1234))\n", + "X_sdml = sdml.fit_transform(X, Y)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { - 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ODz78KE/yu3fvHu71mwJgYGBAtXpN8L13L0+uLYQQ/0+Krchg9+7dODg5Y2xigr2jE9u3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\nY8DNwISi5euAjsXel2uMWQu8CdxVtOxFYLwx5nvO/Xf2WaB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om78rkq5eNXNWppOTkwONTocIdxUAQGWlRGN3FU6fPq13m6SrKWjmZQ+gfKGD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\npePH+BtmWwgCAEY9OBHvnEi5PSdePZK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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -251,33 +328,48 @@ } ], "source": [ - "X = iris_data['data']\n", - "lsml = metric_learn.LSML_Supervised(num_constraints=200)\n", - "lsml.fit(X, Y)\n", - "X = lsml.transform()\n", - "\n", - "plot(X, Y)" + "plot(X_sdml, Y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "### Applying Neighborhood Components Analysis" + "### Least Squares Metric Learning\n", + "\n", + "LSML is a simple, yet effective, algorithm that learns a Mahalanobis metric from a given set of relative comparisons. This is done by formulating and minimizing a convex loss function that corresponds to the sum of squared hinge loss of violated constraints. \n", + "\n", + "Link to paper: [LSML](http://web.cs.ucla.edu/~weiwang/paper/ICDM12.pdf)\n", + "\n", + "[TODO: add manual constraints)\n", + "For this particular case, we are going to use our own set of constraints.\n", + "Normally, the constrains are randomly created, with the constraint classes built into metric-learn." ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "lsml = metric_learn.LSML_Supervised(num_constraints=200)\n", + "X_lsml = lsml.fit_transform(X, Y)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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ckV9oZCsipUZQUBBvvP0Ox7NOcOsTz/JzQBUaValAZFAAAA1iIgj2ejl+/LjL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\ngOPHj3PpkIEs/mkJGMMD99/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NmvPpZ+OyJb+7d+9SwbshACYmJpSr1YA7/nez5dhCCPFvUmxFGrt37yafmzuWVtbkc8/P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\nUUmxFSIDYWFh7Nq1C0VRaNu2rewBa0B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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -285,33 +377,46 @@ } ], "source": [ - "X = iris_data['data']\n", - "nca = metric_learn.NCA(max_iter=1000, learning_rate=0.01)\n", - "nca.fit(X, Y)\n", - "X = nca.transform()\n", - "\n", - "plot(X, Y)" + "plot(X_lsml, Y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "### Applying Local Fischer Discriminant Analysis" + "### Neighborhood Components Analysis\n", + "\n", + "NCA is an extrememly popular metric-learning algorithm, and one of the first few (published back in 2005).\n", + "\n", + "Neighbourhood components analysis aims at \"learning\" a distance metric by finding a linear transformation of input data such that the average leave-one-out (LOO) classification performance is maximized in the transformed space. The key insight to the algorithm is that a matrix $A$ corresponding to the transformation can be found by defining a differentiable objective function for $A$, followed by use of an iterative solver such as conjugate gradient descent. One of the benefits of this algorithm is that the number of classes $k$ can be determined as a function of $A$, up to a scalar constant. This use of the algorithm therefore addresses the issue of model selection.\n", + "\n", + "You can read more about it in the paper here: [NCA](https://papers.nips.cc/paper/2566-neighbourhood-components-analysis.pdf). " ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "nca = metric_learn.NCA(max_iter=1000, learning_rate=0.01)\n", + "X_nca = nca.fit_transform(X, Y)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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TgOtRV+g2qA8vvfRSWUcXolL4cuEXvDxzJqgqDevX48etv7Jm8xa+nP8JOp2O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\n", 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -319,33 +424,44 @@ } ], "source": [ - "X = iris_data['data']\n", - "lfda = metric_learn.LFDA(k=2, dim=2)\n", - "lfda.fit(X, Y)\n", - "X = lfda.transform()\n", - "\n", - "plot(X, Y)" + "plot(X_nca, Y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "### Applying Relative Components Analysis" + "### Local Fischer Discriminant Analysis\n", + "\n", + "LFDA is a linear supervised dimensionality reduction method. It is particularly useful when dealing with multimodality, where one ore more classes consist of separate clusters in input space. The core optimization problem of LFDA is solved as a generalized eigenvalue problem.\n", + "\n", + "Link to paper: [LFDA](http://www.machinelearning.org/proceedings/icml2006/114_Local_Fisher_Discrim.pdf)" ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "lfda = metric_learn.LFDA(k=2, dim=2)\n", + "X_lfda = lfda.fit_transform(X, Y)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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Mmvobiok5u3fv/ugcPz8/unXvTtnyFXDr0QM/Pz9NvDUhhEg2WRtZy3x8fHjw4AEFCxbE\n2dlZI22eOXOGtu3bo6dvQFREBCv+Wk67du000nZqRUZG0rN3H3bt3IGiKAwdOowZv05HUT5aKjRZ\n4uPjad22HZ73H/DE+z4rzt57v4/usvFD6dG2GX369Hl/fGxsLOUqVCSvSyUq1m/G5aN7eX7HnatX\nLmP4bi9aIYTQNFkbWUfy5MlDtWrVmDd/ASVKuVCjVh0uXLiQ4vYiIyNp064dfcfPZv6+S/y4eAP9\nvu7PixcvNJg65caMHcczvyD+PHmHhfsvsXPvAVasWJHqdvX19fl75w6WLJxHufIVWD7lB148esDZ\n/Tu5fek09evX/+B4Dw8PQsLC6fr9eIqUKU+34RMICkl8DEsIIdKaFNs0MGjwEM6438Rt7AzKNG5H\ns+YtUjxR6vnz5xibmlOmel0A8hcvTd7CxdJNETl95gxNuw/AyMQUSxs76rZz4+Tp0xppW09Pj0aN\nGnH86BEK5rTh9x++5uq+TRzYt4+8efN+cKyRkRHRUVHvJ17Fx8UREx2FkZGRRrIIIURyGOg6QFaw\nZfNmZu08hZWtPfmLl+bhLXf27dvHsGHDkt1Wrly5CA0KxOeRF3kKFCHQz5fnjx6km4lXDg65eOx5\niyJlKgDw2PMm5Qrl0WgfFhYWrFrx12ePKVasGK5lXFj04wDK1mrE9VOHKOvqSrFixTSaRQghkkKK\nbRowMTUhLCgQK1t7AEKDAj96tCWpLC0t+f333/iuf0cKlnDh8X0Pfhg1ksKFC2sycorNnjmT2nXr\n8uDmFaLCwwgP8GXzHwvTPIeenh5/79zBnLlz8fC8SevG9RgxfHiq7x0LIURKyASpNLBw4UJmzJlH\n/Y69ePXEm4fXLnDV/Qo2NjYpbvPx48d4enpSoEABihcvrsG0qefr68uRI0cwMjLiq6++wsjIiFE/\n/MjOXbswN8/G1CmTaNu2ra5jCiGExn1qgpQU2zSya9cuDh46jL29HcOGDsXe3l7XkdLMsO+Hc+ry\nVdxGTuat7yuWTRjG3zu3U716dV1Hy7L8/f0JCQkhb9686Ovr6zqOEJmGFFuhM3nzF2DI7L9wLJA4\n1L3jj/kUsDJgxq+/prjNiIgITE1NZVg4mVRV5cfRY1i8eDHmFhbYWFtz+OABjT2WJkRWJ4/+CJ0I\nCAggJiaGQ5tX4ffyOQCBvi+xyJYtRe09evQIF9ey2NjaYmVtw6ZNmzQZN9PbvXs3W3bsYu7uc8zb\ne5Eydb+iV5++uo4lRKYnE6SE1rx69YpKlauQv1RZosLDGNO5MSUrVuP1w3tsWDo/RW22btsOl7rN\nGL1iN88e3OXbwW64uLhQokQJDafPnK5fv07Z2o2wsE6cL1CndRfGdVmp41RCZH5SbD/h1q1bLPvj\nT+Lj4+nVswdVqlTRdaQMZ+bMWZSp3ZhuwycAcGz7Os7tXMdV9ytkz5492e1FRERw764no1fsRlEU\n8hYpgUuVWly+fFnjxdbDw4MFCxcRGRVJty5daNKkiUbb15WCBQuydfd+YmOiMTQy5ub5kxTIX1DX\nsYTI9GQY+T/cuHGDOnXr4a+aEmpiy1fNW3DixAldx8pw/AL8yZ3/n0eSHAsUwdzcPEWFFhJ3CDI1\nNePpfQ8AYqKjeOrlSe7cuTWS93/u3r1Lzdq1CTG0wihPMbr36s3WrVs12oeudO3alWIF8zGmYwOm\nD+jIrqWzWfHXn7qOJUSmJxOk/kOPXr1JsM1Ds+4DADizdzuPLhzm4P59Ok6Wsaxbt45xE6cwbM5y\nTM2zsXT8UJrVr83UX6akuM2tW7cyYOAgXKrU5KnXXapULM+GdWs1OlFq6NBhvIjSo903wwG4fvY4\nJ9Yt5sqlixrrQ5dUVeXq1asEBwdTrly5VD2CJoT40KcmSMkw8n+IjorC2sLq/WszC0uio6N1mChj\n6tatG899fJjStw2xMbG4ubkx8ecJqWqzQ4cOlC5dmsuXL+PgMJAGDRpofEZyTGwsRqb/FCATUzPi\n3i37mBkoikKFChV0HUOILEWK7X/o0d2NPl/3x8o+B0ZGxmxZOJWffxqr61gZjqIojBk9mjGjR2u0\n3WLFiml12cXubt1o0ao1drkcsLCyYcPcyQwfMkhr/QkhMj8ZRv6EzZs3M3f+AuLj4/m6X18G9O+v\n60giDR05coRpv84gKioKt25dGTRwoDzTK4T4IlnUIgPx9fVl7dq1idvptWlDqVKldB1JZ/z9/Rk9\nZixe3t6Uc3Vl6i9TMDc313UsIYT4T7KoRQbx8uVLypWvwIFz7lz2fkGt2nU4raEt6jKaqKgoatet\nx8vweKq178M1rye0aNWajPQh7tixY3Tu0pVu3btz/vx5XccRQuiI3LNNZxYsXIhrnSa4jfgZgHzF\nSzP2p/GcPX1K433FxcXh5+eHvb09hoaGGm8/tdzd3YlJALeRE1EUhVKVajD0q8o8e/bso/1r06OD\nBw/SrUdP2vQfTlxsLM1btGTvnt1Uq1ZN19GEEGlMim06ExQUjH1up/evczg6ExwcrPF+zp07R9v2\n7YmNjUNNiGfd2rU0a9ZM4/2khqIoJMT/MwtYVRNQ1QT09DLGgMy8BQvp+v14qjVpDYCiwG+LF6eo\n2Hp7e7N27VpUVU18Vlb25RUiQ8kYP7WykBbNm3F4w3IeetzA1+cpWxf9SovmzYmJiWHUDz9Spmw5\n6jdsxNWrV1PcR0REBK3btqXn2Bn8fuQ6389bRfcePfH19dXgO0m9ihUrYm2RjeWTR3HxyF5++3Eg\nVatWJU8ezW5Gry3x8fEYGBq9f21oZExcXHyy2/Hw8KBy1apcffyaG8/9qVajBteuXdNkVCGElsmV\nbTrTvHlzJk98zdQJQ4mKiqJL585MnjSRgYO+5aqnF+2GTcTnkReNmjTB/fJl8ufPn+w+nj59iolZ\nNsrWqAdAYZdy5ClQGE9PT3LmzKnpt5RiRkZGHD96hMmTp+B17iBNaldl7JgxGWZWcP9+ffnu+xGA\nQlxcDDuWzmHj+rXJbmf6jBk06TaA5j2/AcAuZ25+mTadHdsyx6pWQmQFUmzToa/79ePrfv0++NqG\n9euZu+c8lja2FHYpx+M719m3bx+DBw9OdvsODg4Evw3g1bPHODjnJ8j/DT6PvXFycvryyWnMysqK\nOXNm6zpGinTs2BGAZX8uR19fnzWrVtCwYcNktxMaGoZzCYf3r+1y5cbn+lmN5RRCaJ8U2wzCyNiI\niNBgLG1sAYgIC8HIyOgLZ/03a2tr5syZzeh+7ShcuiwPPW4ycvhwChUqpMnIgsSC+7+im1Lt2rTm\np0lTyOWUDz09fXYsnc2oYd9pKKEQIi3Ic7YZxIyZM/l92Z807NyHl4+8uHvxFNevXU3Vurb379/H\n09OTggUL4uLiosG0aSMhIQFfX1+srKwwMzPTdRytUVWVRYsWsWDRb6iqyjcD+jNq5MgMM5wuRFYi\ni1pkAps2beLQkaNkt7dj5IgR5MiRQ9eRdObJkyc0bdac169fEx0VxZQpkxkxfLiuYwkhsjgptiJT\nqVKtOgUq1qZ5z4G89X3F1K/bs3nDOmrVqpXkNmJiYjA0NJQrRCGExsgKUiJTuXbVnUadeqMoCna5\nclO2VoMkPw715MkTylWoiJmZGdlz5GDXrl1aTiuEyOqk2KbQuXPn6NGrN9179uTsWc3PDFVVlW3b\ntjF58mS2bNmSoZYoTAt5nJzxdE9c/jA2JhrvW9dwdnZO0rktW7ehWPWGrL70iKFzVtCnbz+8vLy0\nGVcIkcVJsU2B06dP06JVa/RyFkA/V2Fatm7DqVOaXU5x0LeDGT1hEtef+jFu8lS+7j9Ao+1ndKtX\nruCvySOZN6wXP3VpjGup4rRp0+aL54WFheF17x7New5ET0+PQqXLUrpyTS5fvpwGqYUQWZXcs02B\ntu07YF+iEnXbdAHgxK5NvLl9gV07tmuk/SdPnlC2fAXm/H0WU/NsREWEM6pNbS6cO0PhwoU10kdm\n8PLlS9zd3bGzs6NatWpJuveakJCApZU1P6/cSZ6CRYmNiebn7s35c/EiGjRokAaphRCZ2afu2cpz\ntikQFxeHobHJ+9fGJibExcV95ozkCQoKwtrOHlPzbACYmJljY5+doKAgjfWRGeTOnZuWLVsm6xw9\nPT2WLlnM0EFdca1Whyf37lCxnCv169fXUkohhJBimyL9+vSm34BvMDYxAUVhy6LpLFv8u8baL1as\nGGpsDIc2rqBKoxZcPrafqLAQSpQoobE+sjI3NzdcXFy4fPkyufv3pGnTpjIjWQihVTKMnEI7duxg\n0e+LUVWVwYMG0r59+w++7+fnx7Zt24iLi6NVq1ZJnrzzPw8ePKBH7z7c8/SgaLHirFrxl+z0IoQQ\n6Zw8Z5uGfHx8qFylKoXKVMTQ2IQbZ49y4tgxSpcuretoSXb16lVu3LhBgQIFqFOnjlz5CSFEEkix\nTUPfDh7Ci/AEOn03BoDDm1bhf8+dPX9njOc5F/32G1N+mUqpyrV4cMud1i2as2jhAo2137NnT86d\nO0e+fPnYs2cPpqamGmtbCCF0SSZIpSE/f38cSlZ+/9qxQGHunzukw0RJFxoaypgxY5m26RDZczsR\nERbKuM4N6dunN66urqluv3CRogQEh1C9SWtuXzyNg2MeAvzeoK+vr4H0QgiRPslztlrQpHEjDq37\nA1+fpwT6+fL3Xwto0qiRrmMlSUBAAOYWFmTPnbjdnlk2C3LnK8jr169T3baXlxePHz9m2vr9dB02\njilr96BvaMSYMWNS3bYQQqRncmWrBb179eLFixdM6tWS+Lh4evbsydixGaOgODo6YmxoyMm/N1O7\nZUc8r5znyT0PypQpk+q2vb29MTI2xtLWHgADQyPsHRx58eJFqtsWQoj0TO7Zio/cuXOHtu078Pih\nN7b29mxYt04jz6HGxMRgZWNLs+79adixFx6Xz7Js0giOHDqUrA0EhBAivZIJUiLZoqKiMDY21uhM\n5N27d9Ote0+iIiMwNDZm1PDvmTRpksbaF0IIXZJiK4QQQmiZbLEnhBBC6IgUW6F1AQEB3Llzh4iI\nCF1HEUIInZBiK7Tqt99/J3+BAjRr1YZ8+Qtw4cIFXUcSQog0J/dstUhVVfbt28eDBw9wcXHJcjvL\n3L59m7r1GzJh5U6y53bi6qkjrJ/1Ey99fGT5RyFEppTie7aKohgritJVUZSxiqJM+N8v7cTMXL4Z\nOIjvRvzAkSu36dmnHxN+nqjrSGnK09OTomUrvF8go3zthoSFhfH27VtevnyJp6cnMTExOk4phBDa\nl5RFLf4GgoGrQLR242QeHh4e7Ni1i5nbT2JiZk5IvwBGtqnF4G8HkSNHDl3HSxOFChXC+/Z1gt/6\nY2Vrz92rFzA0MGDS5CmsXr0aS2sbjAz0OXL4EAUKFNB1XCGE0JqkFNs8qqo20XqSTMbf35+cjk6Y\nmJkDYGljh7WtHW/fvs0yxbZ8+fJ8O3AgYzs1JHfe/Lx8+oghgwezdvNW5uw+i7mFFfvWLKVn7z6c\nOXUyye0GBwczZOgwLl66hHMeJxYtnE/x4sW190aEECKVkjJB6ryiKBlnb7h0wsXFhTc+z7h4eA8x\nUZEc3bYWPVUlf/78uo6WpiaM/4krly6yeN5s7t+9i6IolKleH3MLKwBqNGvHnTu3k9Vmm3bteRkS\nTd+JC3AuX5O69erj7++vjfhCCKERn7yyVRTlNqC+O6a3oiiPSBxGVgBVVVWXtImYMdnY2LB/3166\nde/B4vFDKVmqNIcOHsDY2FjX0dJcwYIFKViwIABFixZl446ZxER9h5GJKVdPHaFw4SJJbiswMJBL\nFy/yx8k76Onr41ykOLfPn+Ds2bO0bt1aW29BCCFS5XPDyM3TLEUmVaFCBe7f9dR1jHSlU6dO7D9w\nkB/a1cEuhwNBfq85cjjp2w8aGxsTHx9HRFgI2axsUFWV0KC37/fEDQoKIigoiDx58mBgIPtsCCHS\nhy8++qMoylpVVbt/6Wv/cV6Wf/RH/DdVVfHw8CAoKAgXFxcsLS2Tdf6IkaPYfeAQVb9qh/fNK8SH\nvuXMqZPMmDmTX3+dgbmFBVaWlhw6sF8mXgkh0lSK10ZWFOWaqqrl/vVaH7itqmqJL5wnxVZohaqq\nrFu3jvOaUoO2AAAgAElEQVQXLpLX2YnvvvuOCxcu0KNPP35avh1r+xzsW7sM74vHuXj+nK7jCiGy\nkGQXW0VRxgBjAVPgf+vsKUAM8Ieqqp/doFWKrUhLs2fP5sSN+7iN+BmAyPAwvm1UjkhZIlIIkYaS\nvaiFqqrTVVW1AGapqmr57peFqqp2Xyq0QqS1AgUK8ODGZWKiIgG4deEUefNlrZnfQoj063NXtuX+\n8xvvqKp67bMNy5WtSEMJCQl079mLE6dOkyuPM8+977N3z24qV66s62hCiCwkJcPIJ9791gSoANwk\ncRjZBXBXVbXqFzqUYivSlKqqXL16lYCAAMqVK0f27Nl1HUkIkcWkZoLUDuBnVVVvv3tdCpioqmr7\nL5wnxVYIIUSWkprN44v+r9ACqKp6B5C18YQQQogkSspT/7cURVkOrHv3uhtwS3uRhBBCiMwlKcPI\nJsBAoNa7L50GlqiqGvWF82QYWQghRJaS4nu2qehQiq0QQogs5VPF9nMbEWxRVbXjvzYk+IBsRCCE\nEEIkzece/XFQVfWVoih5/+v7qqo+/WzDcmUrhBAii0n2la2qqq/e/bYBcFpV1QfaCieEEEJkZkmZ\njewMLFMUJR9wlcQJUmdUVb2hxVxCCCFEppHkCVKKopgCXwMjAUdVVfW/cLwMI4s0c+/ePdatXYui\nKLh1707RokV1HUkIkQWlZgWpn4DqQDbgOnCWxCvbV184T4qtSBM3btygYZ3auBWxRwU2PPDn6Kkz\nuLjIHD4hRNpK1X62QBywDzgFXFBVNToJHUqxFWmic9vWlA/0YoCrMwCLrz/ldvaSrN+6TcfJhBBZ\nTYqXa3y3cXwD4DLQELitKMpZzUcUImXCQkNwyGb8/rWDuTFhocE6TCSEEB/6YrF9t/FAN6An0Al4\nARzXci4hkqxNp6784v6ca77BXH0dzLSrPrTp1FXXsYQQ4r2kDCPvJXEG8lngiqqqsUlqWIaRRRpR\nVZX5c+ey9LeFKIrCoKHDGPLdUBTlo5EcIYTQKlmuUQghhNCy1GyxJ4QQQohUkGIrhBBCaJkUWyGE\nEELLPrfrzx7+Y7ef/1FVtaVWEgkhhBCZzOfWRp6dZimEEEKITExmIwshhBAakuwt9v51YmFgOlAC\nMPnf11VVLaDRhEIIIUQmlZQJUiuBJSSuj1wXWAOs02YoIYQQIjNJSrE1VVX1GIlDzk9VVZ0INNNu\nLCGEECLzSMrm8dGKougBDxRFGUzi2sjZtBtLCCGEyDySsjZyReAuYA1MAayAmaqqXvzCeTJBSggh\nRJaS6rWRFUWxBFRVVUOTeLwUWyGEEFlKitdGVhSlgqIot4FbJO5le1NRlPLaCCmEEEJkRkkZRr4F\nfKuq6pl3r2sAi1VVdfnCeXJlK7QiNDSUtWvXEhISQpMmTXB1ddV1JJFFRUZG4ufnh4ODA4aGhrqO\nI9KBFA8jK4pyXVXVsv/va9dUVS33hfOk2AqNCwkJoXL5stgnhGJvAqd9IlizYTPNmmWeCfJBQUHM\nnzePN69eUrdhIzp06KDrSOI/bN2yhb59emNiqIeevhE79+ylatWquo4ldCw1xXY+YApsJHGt5E5A\nFO+etVVV9donzpNiKzRu3rx5/P37NIZXsgfg+qtwNj7X5573Yx0n04ywsDCqlCuLq2ksLjam/HXP\nj15DvmfMuHG6jib+5dmzZ7iWKsGE6tkpYGPC5Reh/OkRyfOXrzAyMtJ1vBQ7cuQIc2dOJy42lr7f\nfEvnzp11HSnDSfEKUkCZd//9+f99vSyJxbdeKrMJkWRv3waQ0/Sf17ktDAkODtJdIA3btWsXjko0\ni+uVAOCrgjmoOvUXRo8di6J89O9X6IiHhwcFs2ejgE3ionqVHC1YfjuEFy9ekD9/fh2nS5lTp07R\nuX0bepawxNhAj+GD+pOQkEDXrl11HS1T+GKxVVW1bloEESIpGjduwtJFC6jgEEkOc0PWeITQpGlT\nXcfSmMjISGxN/vlnaWdqSExcHAkJCejr6+swmfi3vHnz8sQ/nKAoC6xNDHgaFE1ETBw5cuTQdbQU\nW75sMe0LZ6NOfisA9PVg6aL5Umw1JCmzkXMqivKXoigH3r0uoShKX+1HE1nB1q1bKezsRA4ba3q7\ndSMiIuKzx9eoUYMFi5ex6E4Uw469Jl/l+vy+9I8PjlFVlatXr3LkyBECAgK0GV/jGjduzLFnb1nn\n+YKbb0IYeNyLti1bSqFNZ0qUKMF3w4cz4vhrpl4K5Oezb1i67E/Mzc11HS3F9PX0iU/459ZfXIIq\nf+80KCn3bA+QuD7yOFVVyyiKYgBcV1W19BfOk3u24rMuXbpEy8YNWdOoOPmsTBl97hE25WuxYm3K\nl95OSEigR7cunDhykJwWpjwPjuLA4aNUqFBBg8m169q1a4z6bjC+vr7UqV+fmXPnY2ZmputY4j/c\nuXOHx48fU7JkSQoUyNh7s1y+fJkmDerRoUg2jPUVNnmF8eeqdbRq1UrX0TKU1EyQuqKqasV/z0pW\nFOWGqqqffd5Ciq34kkmTJhG8fy0TqxUCwCc0kvq7bvPK/22K29y6dSvjh37DlBr2GBvoceZpCPv9\nzfC4/0BTsYXItC5evMjCebOJi42lT/+BNGnSRNeRMpzUTJAKVxTFjsTJUCiKUgUI1nC+LCc8PJzx\nY0Zz7fIl8hcqzPTZc8iVK5euY6UpGxsbbobFvn/9OCgSK0vLVLX56NEjStgaYGyQeIekrIM5i689\nS1WbQmQVVapUocrmbbqOkSklZdef4cBuoKCiKOdI3GJviFZTZXKqqtKhdUueHd/N944qVg8uU7d6\ntS/er8yo4uPjmTplMhVdSlKvelVOnToFQK9evfCKNaLn4btMOOdNn6P3+HXu/FT1VbZsWa68jiIo\nKg6Ao49DcSlVMtXvQQghUiNJayO/u09bFFCA+6qqxn7hFBlG/ozXr19TsnBBvHpXx1A/8fNOo79v\n88sfq2nQoIGO02ne+LFjOLxhJVMq58UnNIofzz3myKnTuLq6EhISwpo1awgODqZx48ZUqFCBqKgo\njI2NU/yoy8QJ45k1axYWpkZYWtty8OjxDH8/TQiRMSR7GPndbj/PVVV9rapq3Lv1kNsBTxVFmaiq\naspvrGVxenp6xCeoxKsqhiRe6cbEZ95HOzasWc2GeoUobpe4M6NnQDjbt23D1dUVS0tLBg8eDMCD\nBw8oU6IYdx94Y5UtGyvWrKVFixbJ7m/i5CkM/X44QUFBODk5YWCQlLslIiNSVZXbt28TFhaGq6ur\nTCQT6dbnfgotAxoAKIpSC/iVxOFjV+APoL3W02VSOXLkoEmTJnQ7dJkuhew49TIEPSs7qlWrputo\nWmFkbExI9D+DIcGx8VgZG39wjKqqtP6qCT3zGDOgUX3cXwfT2a0bl67fSNFVqY2NDTY2NqnOLtKv\nuLg42rduyZUL57A0NSJKMeLYqTMyiiHSpc/ds9X/19VrJ+APVVW3q6o6Hiik/WiZ29pNm6nb4xv2\n6+chR73WHDtzDuP/V4B0JTY2lsDAQDR1G+CHcePpe+w+f958xs/nvdn3PJTevXt/cMzbt2958fIV\n37g6oygKFR2sqeZsj7u7u0YyiNS7desWP40bx6RJk3j2TPeTzv7880+e3b7MwgYOzKhlT+3sCXzT\nr/eXTxRCBz5bbN/dqwWoDxz/1/dkXC6VDA0NGfvTT2zbs49Zc+dhZWWl60gALFqwAGtLC/I65qai\nqws+Pj6pbrN3nz4sWb2e+3kroVRtxgX3q+TJk+eDYywtLYlXVbzehgEQGRfPXb+QLDdDO706e/Ys\n9WvVIOroZl7tXk3lcmV59OiRTjPdv+uJi60ehvqJt8cq5TbFy0se8RLp0ycnSCmKMg74CvAHnIFy\nqqqqiqIUAlarqlr9sw3LBKkM58yZM3Rt3YL9rcrgbGnCr5cfc1Gx48S5C2nS/6qVK/nx+6HUz5ed\n629CqFK/ESvWrJM1gdOBRrVr0sE0mE7FcwMw5cJDoss3ZOHvi3WWacWKFcydMIoJ1ewx1lfY6BFI\nuKMrew4c0lkmIZI9QUpV1amKohwDHIDD/6qcesijP5nSpUuXaFnAnrxWiSv9Dy7rzIK/zqRZ/716\n96Zc+fK4u7vT28mJBg0aSKFNJ0JDQ3DMYfL+taO5ETd1vAFEr169OH3iGN/s2oW5iRGWtvYc+Wul\nTjMJ8SmfHQ5WVfXif3zNS3txhC45OTmxxS+c2PgEDPX1uPgikDwOaTuM6+LigouLS5r2Kb6sdYdO\nTFiygN9MDAmNiWP+rZcsHDpdp5n09PRYtXY9z549Izw8nEKFCskG7iLdStJztilqWIaRM5z4+Hja\nt2rBgxvuFLQ257xPAFt37aZOnTq6jpYmfHx8OHbsGNmyZaNZs2aYmJh8+aQsIiEhgckTf2bdyhUY\nGhkxYvRY+n39ta5jCZHupHht5FR0KMU2A0pISODEiRMEBARQpUoVnJ2ddR0pTbi7u/NVwwbUcrLF\nNzyaqGy2nDx/MUPv4iKESHtSbEWGERUVxfr16wkICKBu3bpUrFhR633WqFSBnrYxdCqeG1VV6X34\nLlV6DeaHH37Qet9CiMzjU8U2KWsjC5FmoqKiqFWtCst+Gc2FNXNo2qAumzZt0nq/vq9fUzZn4iYI\niqLgamfK65cvvnyery/tW7agkJMjDWvXxMtLpjQIIT4mxVakK5s2bUINfMG4Knb0drFldBV7hg/V\n/uT3GrVqM/e6DzHxCbwIjWLdA39q1an72XMSEhJo3rghuV/fY3O9AjTQC6BhnVoEB8umWEKID0mx\nFelKYGAgDmZ67x/5cbQwIig4ROv9Lli8hDDHouRecpzy6y7Qe8hwWrdu/dlznj9/js/Tp0ypVoDC\ntuYMdHUmj5mhrHolhPiIFFuRrtStW5dzz8PxeBNBSHQ8q+8E0aD+h1eYqqry67Rp5LS1wdbSgu+/\nG0xcXFyq+rW0tGT3gUOEhUcQFhHJmHHjvniOmZkZETExhMQk9h2XkIB/eGS6nVR1+/ZtlixZwrZt\n21L95yWESB6ZICXSnb///puh3w4kIDCIBvXqsnLteqytrd9/f83q1UwfPYL1jYtjZqhPv2P3adxj\nAOMnTkzzrIO/GcCF/btondeaU75hGDoXZd/ho+jppa/Psdu3b6d/n15UcjTneWgcDoVKcuDIMdkR\nSQgNk9nIItPo1qEdNYK96FbSEYDTzwP49Uk8Z92vpXkWVVVZu3Yt165cplDRYvTv3x8jI6M0z/El\nOexs+aGCJUXsTIlPUJlwzp8Jc5fQoUMHAN68ecOc2bMI8HtDk2YtaN9eNvUSIiWSvVyjEOmVbfbs\neD279f61V2AEtvaOOsmiKAo9evSgR48enzzmwoULfN3DjSc+Lynv6sKaTVvImzdvmmVMSEggMDiY\n/NbZAdDXU3C2MMDX1xdI3HGpUvmylLaIxdFcj+F7d/H86RO+HzEyzTIKkdnJla3IcHx8fKhaoTzV\nc5hiqq/HvidvOXLyFGXKlNF1tI/4+vriUrwoc6rnp7aTLX/efsFOvwRuet5L1lBzfHw8gYGB2Nra\npmiIuk6NatgFP6RrCRueBkcz9YIfx0+fo0yZMixdupRNcyYwvKIdAD4h0fx8/i1+b3W79rEQGZE8\nZyvShYSEBDZt2sSvv/7K0aNHU9RGnjx5uHrrNjX6j6RMz++4dO16uiy0AFeuXMElhxUtC+XEytiQ\nEeXz4vvqFa9fv05yG8ePHyenvR0F8jqRO2d2zp07l+wcm7fvxN+yAJ23P2D65UAW//HX+z+zqKgo\nzA3++dmQzVCf6JjYZPch0kZgYCDe3t7ExMToOopIBrmyFWlGVVU6tm2Nx+WzFLfR59LraAYOHcG4\n8RN0HU1rzp8/T6+2LTnXoRzGBnq8Coui/LqL+PoHJGnWckBAAEUK5uf78ta45DTH/WUYS2+F8ejZ\nc7Jly5bsPAkJCR9dGXt7e1OpfFl6FLfA0dKQP24EkqNgSWbPnUvVqlWT3YfQntkzZjB50kRss5mi\nGJmw99ARSpYsqetY4l/kylbo3MWLF7l09hRTatjT08WOX2rmYNrUqYSGhr4/JiEhgeDgYNL6g5qq\nqsyeNZPcOezJYWfD6FGjiI+PT3W7VatWpWy1mny1+xZjz3rT9O9b/DR+fJIfD7p37x65LExwyZl4\nfIXc2bAw1uPhw4cpyvNfQ9CFChXi4JFj3NB3ZtaVIKLi4rEOfkybrxozf97cFPWTVdy6dYtVq1Zx\n/Phxrf+dvXDhAgtmTedyt8rc6laJESXs6NyujVb7FJojxVakmbdv35LL0gRD/cS/djYm+pgYGRIS\nkrhoxZYtW7C2sSWXQ26KlSiZpksfrlu7lt9mTWNsRUt+qW7L3o0rmDkj9VvIKYrCxm3bGTVrIXk7\nDmD5pm2MHvvlZ3j/x9HRkZdB4QRGJj4X6xcei39oJA4ODqnO9m+VKlVi1vxFGOrB3AZ5GOBqw9Ra\nORg3dixhYWEa7SuzWPHXXzSsVYOD86cwsGtHBn7dV6sF9+bNm9R3tid3tsTdqLoVz43nA295ZjqD\nkGKbSZ04cYJGtWtSo0I5Fs6fn+ZXiv+lYsWKPHobyblnIYTFxLPtXhC5HBxwcHDg/v37fDPoW8b+\nsYW/zt6jequutGjVOs1y79m1ndYFzHC2MiZXNiM6FjFn766dGmk7MDCQKlWqMGLECOrVq5esc/Pl\ny8cPo8cw6sRrZrsHMfqUL5N/mUqOHDk0ku3ffH19yWNtirFB4o+F7OaGmBkZEhgYqPG+Mrro6GiG\nDhnM/lZl+KNuYU62d+Xw7l1cunRJa30WLFiQi6+CCH23iMqxp/4458olz0pnEFJsM6ErV67QqU0r\nOpuF8ENeff6cNZU5s2fqOhY5cuRg38HD7PE1of/+5zw2dmb/uwUg3N3dKVWpOnmLlEBRFBp07Mnz\nZ8/eX/Vqm61ddl5H/HOF8CosFhtb28+e8/LlS74dOID2rVqwbNnSjz4YqKrKd4MHkTePI+VLl6CC\nq8v7x22SY8y4nzh88gyDf1nA8TPnGTrs+2S3kRTly5fngX84116GEZegsu9BEFY2NuTOnVsr/emS\nn58fE8aPZ8iggRw4cCDZ5wcFBWFsoE9h28ThfXNDA4rZW/Ly5UtNR32vQYMGNGrTgUob3Wm+z5NB\npx6yZtNmrfUnNExVVa38Smxa6MKw74aoP1UrpAYPa6wGD2usHutUWS1dpJCuY33WiRMnVKcChdSV\n57zUDdeeq9M3HVKzWViqcXFxGu0nPDxcHTJwgFq2RFH1qwb1VA8PD1VVVfXx48dqTjtbtVGR7Grz\n4tlVW0sL9dq1a59sJyAgQM3jkFNtWzKH+n0VB7VILht1zI+jPjhm3bp1apFcNur6doXVXZ2Lqm1L\n5VBbNmui0fejaSdOnFCdHHKpenqKWqZkcdXLy0vXkTTO399fLeDkqPZxzadOrVVUdbazVv9YtixZ\nbcTHx6uF8zqr8+qXVIOGNlKPdKys2ltaqE+ePNFS6n/cunVLPXr0qPrmzRut9yWS713t+6gmyvhD\nJmRkZExE3D9XWWGx8RgZGeow0ZfVrl2bOjVrML5rY/IWK4Wn+wWW//kH+vr6Gu2nZ9fOxHndYE6Z\n3Fz1fU39WjW5fseDfPnyce3WbTZt2kRcXBzz2ralUKFCn2xn165d5DdT6emSePVbOqcZQxYuYur0\nGe83UbjqfoUqOQ3IZpT4Hhrmy8a0q9c1+n40rU6dOjx7+eo/Zy1nFhs2bKC8lQHz6hQFoEYeW7r/\nPJ6v+/dPcht6enrsPniI9i2b8+Op41hmM2fl+g1pslhJ6dKltd6H0DwptplQv/79qb78T0wN9LA3\nMWT2jRfMWPi7rmN91m8LF7J980YUVEzUOHZu30bt2rU12kd0dDS79x3g+Td1MDHQp3wua86+ieDY\nsWN069aN3LlzM3z48CS1FR8fj+G/PgcY6esRH5/wwTF6+gZceRlG62K26OspXH8dToEC+TX5lrQm\nsxZagIiICOyN//mfl93UiMio6GS3U6xYMe54eRMREYGpqen7D1lC/JfM+y8qCytcuDCnL1zkbcna\n3Mjpwh9rN9CtWzddx/qkM2fOMHPyz1zsUpkXA+rQ3tGEiWNHa7wffX19FEV5P8FEVVWComMxNjZO\ndlvNmjXjtn8su+8HcvN1OHPc39Kju9v7H7hxcXGsX7USEz0Dvj/4hJ+OPWPNDT/GjJ+oybekNd7e\n3mzZsoWLFy/qOorGNW/enK3efuz0es2tNyEMOfWA9u/WiE4JMzMzKbTii2RRC6Fzs2fP5vHmpUyv\nkThsGxoTR+G/zhCRgquNLxn74w/sW7+KXkWzcz0ggutRhly8ej1F2+Ldu3ePMaNG8Mb3NQ0aN2X8\nzxPfzwz18fGhQumS3OtZBfdXwYTFxjHL/Qk3/cKxt7Fi2qw5dE2nH4C2bN7Mt/37UdXJnttvgmnR\nvhMLFy/RdSyNOn36NGNHfE9gYCBNm7dg2sxZ6XIDCZHxyK4/It3avHkzc34cxoGWpTHU1+PIYz/G\n3PTH6/FTjfelqiqrV6/m7IljODg5M2LkqA+279OU6OhoctnbsbNFacrltOJNeDSV155jbfMymBro\n0/XgXbbt3U/16tU13ndqxMXFYW9jzb5WLpTObkloTBw1t15j3a69VKtWTdfx0sSWLVvYt2sH1rZ2\njPxxNE5OTiluKzIyEhMTE7nyzUJkBSmRbrVv3x7HUmWptf0Gbkfu883JB/yxcrVW+lIUhV69erF8\n9Vqm/DJVK4UWwNjYmBVr1tJ+3x1a7POk/OqzuJV0pEYeO8rnsqZ70RwcOnRIK32nRlBQECQkUDq7\nJQAWRgaUzmGFj4+PjpOljYUL5jN2yDeUf3MbvSuHqFqhPK9evUp2O0+fPqVCmdJYW1piY2nBhvXr\ntZBWZCQyQUronL6+Ptt37+XkyZMEBATwe5UqqbqaSC/atGlDpUr38PT0ZGC/PtR1tnv/vYehMdT8\nwnO8umBnZ0d2e3vWeb7ArYQjd/xCueATwCxX1w+OCwgIIDQ0FCcnJ43PGNelOb9OZ2PD4pTKbgFA\nQPR9Nm7cmOSJc//TsXUrvrKM5di39fAMCKPN4EGUdnGRmcRZmBRbkS7o6ekle3WljMDR0RFHR0cW\nLF5K725d6Fg4kGfhsTyKN2Zlnz66jvcRRVHYtf8ArZo2Ydy5hySgsOzP5RQpUgRIHIb/YeQIlixe\njJmxITkdcnPgyDHy5Mmj4+SaERsXh7nRPx8eshnoJXt3nZiYGK7eus2hIQ1QFIWS9hY0yGfPxYsX\npdhmYVJsRYbx4sULZs/4lUB/fxq3aEmXLl10HSnJmjVrxuGTpzl8+DClLC1xc3NL0a49aaFkyZI8\nePqMgIAArK2tP1gOcOfOnexYt5JlXzmTzUiPzZ6B9OnhxuHjJ7We6/Xr10ybMhnfFz6UrVyVVq1b\nU7BgQY1ObHLr0ZOBOzYyvoITj4Ij2Ortx9k2yVvs39DQEBtLC677hlA+lxUx8Qnc9g+jSyZciUsk\nnUyQEunW06dP+fbrvnh5eVGkSFGu37hBu3xWFLI05rc7rxkwYjQjRo3SacbDhw/zw7AhBAYG0ahx\nExYsXoKZmZlOM2nTTz+N4+Hff9CltD0A/hGxjD4TwJsA7a6fHBQURHmXUnyVy4RHASEce+qPpZkJ\n2axtOXz85GcXIEmO+Ph4pv/yy7sJUjZMmj6TSpUqJbudHTt28E2fXtTNmx3PgFCKVajK5h07M/Xz\nyyKRzEYWyXLo0CH++H0R+gYGDPl+BDVr1kzT/iMjIylTvBidnUxpnt+eTfdfs/6OD559a2Gor8f9\nt2G02n+Xl34BaZrr327fvk29GtVYUrcIhWzMmXTpCZau1Vm9YaPOMmnbypUrmT9hFBOq2WOor3DY\nO5CN90I5dvocrv/vvq4mrVmzhi2/jqdXEXtGnvTgl/rOWBrrs9sriDs4cNH9mtb6Tql79+5x6dIl\ncubMSaNGjaTQZhEyG1kk2b59+3Dr2B5H36vY+1ykdfOmnDlzJk0z3Lx5E7OEGEZWyEcxu2z8XLUg\nBnrwKDgCgGyGBsTExqZppv/v4MGDdCick0b5s1PA2ow5NQuxe8+eJJ0bGBjI1q1b2bFjB6GhoXh5\nedGhVUtqV67Izz+NI1bH7+1TevToQb4ylfhm32N+PPKUzXfeMqiUI03q1+PNmzda6zc+Ph5jfT3u\n+IdSzsEcy3crQNXLZ8Edz7sa7Ss2NpZRI4ZTOJ8z5V1KcvDgwRS1U6xYMXr27EmTJk2k0AoptuJj\ni+bOomcpSxoUtKZJIRs6FsnG7wvmpWkGMzMzgiKjiXm3BGJkXAKhMfHsf/iG8y8CGXDCCze37mma\n6f+ztLTEJ+KfyTPPQyPJZv7lIeSnT5/iWrI4yyeM5LfRQylbsgS1qlWhTJAXw/PAmU2rGPzNgGTn\nOXjwIC2aNqJFk4YpLhBfoq+vz58rVhEVrzCtRgnce9ZkVOUClMlhodXVppo2bcqF16HcexvOzdcR\nRMcl/r248jKcgvnzabSvH0cO59i2NQwprk9Tm2C6dWqPu7u7RvsQWY8UW/GR+PgE9P81CKKfOCyS\nphlKly5N2cpV6LD/Dr9de0LbfXeoXbceF41yM9Erknpd+zB7/oI0zfT/de3alYexRvQ9cpcZlx7S\n9eBdpkyf8cXzxv0wErf8VmxtUpxdzUripBdFJTtTviuXj7rOdqxqWIzVa9eRkJDwxbb+5+DBg3Tv\n3IFCQXcoFOxB984dtFZwjY2NiVdVXHJYYGNiSHyCysvQKCwsLLTSH0CuXLk4ee48cYXKEWNkzjf7\nn/HTuQA2Pohi9XrNDttv3bKZr0tbkc/GhEqOFjRwNmP37r812ofIemQ2ciYTFRXF8+fPcXBwSPFs\n10FDv2dgn56oQFy8yqb7YWyePlizQb9AURS27trNkiVL8LrrSa9uZenbt2+6eqbTwsKC8+5XWb58\nOdkjX68AACAASURBVAH+/qyf1pg6dep88bwXz57RzuGfwpTf0gSfsH+ukGPiE9DX10vWqkNLFs6j\nW3EL6ua3AkAFfl8wlyZNmiS5jS95+vQp7Vq14MZtD8xMjKi99Sq9iuXkol8kDoWLUatWLY319V+K\nFCnCtt17UFWVO3fu8PbtW8qUKfPJhUkePXrE5PE/4f/mNQ2aNue7YcOSNJxrampKUFQcjpaJs5yD\nYlTMzdPnzHGRcUixzUROnz5NxzatMdVXCIyIYskff/5fe/cdHVW19nH8u9N7JZAGJBAgtFBC70WM\nFAUVkGZBUUTEyxULNorotWGlCYpdECmK0oJKlU4AQSDUEFogvbfJzH7/SF6Ee0XaDCcJz2ctluZk\nztm/sMg8c/bZhcFDhlzzde4um+owe/qH2Nvb8+33z9G9e3drx70iBwcHxowZc9PbvRbe3t6MGzfu\nms5p17kLs3/4lnYhvpjMmv2ZxZzILeLlTUeJ8ndj1v7zjHnyycsW21WrVjH93bcxm8088sQY+vfv\nX/raizsfNNgp63Zc9e3dkyjHdF4aUIej6YW8tuk8yQ270D86mocffviyH4Sys7M5duwYISEhVK1a\n9YZzKKWuOF/13LlzdGzTmuF1/Ojh58YHH7zFuaSzvPnOVP7880/efn0KeTk53DNoCEOHDbvk3Emv\nvcHYJ0bSM6yA1ELNgRx7vh4+/IZzi1vc321ya40/yObxN1VhYaGu6uujF/eL1lljY/TmYe10FS+P\nm7KZ9caNG/WLL7ygp06dqjMzM23eXkVXWFiohwzsr50dHbSTg4N+fMQj+tSpU/rJUSP1gLv66Jkz\nZmiLxfK35/7yyy+6mo+XnntHlP6ydxMd6uetFy5cqGNjY7W/l7t+qnWgfqp1oPb3ctexsbFWy5yT\nk6OdHB30j4Pq6aWDI/XSwZG6a71A/dVXX/3jeWvWrNH+Pl46Ishfe7m76hnTp1kt0z+ZNWuWvi8q\nTGeNjdFZY2P0wRGdtZe7mz506JAO8PHWr3WK1HPviNIRVf30jOnTL5y3fPly3aheHV3N31c3a9xQ\nv/jCCzopKemmZBaVA7J5fOV25swZnO3gtrDS+Y8Nq3jSONCPgwcP2nRD62+//ZZnnnyCB+tVZVtu\nMXNnzWRL3C68vb1t1mZF5+zszLcLFjK3sBCl1IUt/qbN/PiK53728UxejA6lf2QQAAr4dPpHrFq3\ngfmLfmDmh++jtWb+oqfp0aOH1TK7ubnh5OjIqexiang7YzJrTmYVUa1atcueYzKZGHBPP8Y28yYq\n0J3zucWMf3E83W/rQb169ayW7e9orbm4X0CVHfvqyy8ZUsefMc1Lfydqersy5r2pPDF6NLt27eL+\nwQMZ08yXahG+fLn/HCnnkwgMDLRqNpPJxJEjR3Bzc6NmzZqyScEtosIOkNJaU1hYaHSMcqNatWrk\nFJnYl5INQFJuIfvPZxAebtvNyieMf45vYurzYtvafNqjPvWcS/jmm29s2mZ5cfToUb788kuWL1+O\n2Wy+5vNdXFyueS9de3t7TJa/+otNZo192QpPPXr04IdlK/hx+UqrFlooXU5z5qyPmfR7CjP3ZPLC\nhmSatenIbbfddtlzkpOTwWImKrB0+8JqHk7UDfAkPj7eqtn+Tr9+/Vh/NoepO0+w/Fgy96+OZ+TI\nkWitLx38Z6fQZf3vy5cvp2t1V5oHexDi5cSjUT78+OOPVs2VlJRE86hG3N6pHc2jGjJs8H3X9W9H\nVDwV8s72qy+/5MknRlFYXEzTxg1Z8tPySrM26/Vyd3dn9qdz6ffYozSs5sPB5EyeGf+Cze8gsnNz\nCfV0ufB1qJsjOTk5Nm2zPFi1ahVDBg6gWbAHp7OLmd6oGctWxtpkAFdiYiKxsbG4uLjwwIjHGDrg\nXgCc7O14fecpPp/3ptXb/Dv3P/AAUU2asG3bNoKDg+nVq9c/DjgKCAjAgh0HUvJpEOBGSp6JIyk5\n1KlTx+ZZg4KC2Lh1G5NffpGdyecZNGYwY58eR3x8PJ1nTifYw4Vgd2em7DzFo08/D5QOeEu7aAvl\n1HwT7lZeDeyJx0YQ6ZjFsB6BFJs1Uzb9xqeffsrIkdc+1UtULBVuBam4uDju6N6Fie0DCPVyYsGB\nDE661GDTth1Wb6siOnXqFAcPHiQsLOzC4vG29PD9w0jduYHX2oZxLDOfkWsOE7t2Pc2aNbN520aq\nERzIyPpONK7mjtmieeX3VF55dwb33XefVduJi4sjpns3mge5klNsIR13Ppg+k28//wyzuYRHRo3+\nx7tLo8XGxjJ44AACvVw4m5nHxEmv8u9rHFBmbXFxcbwxeSJ5OTncPWgIjz72GEopMjIyaNGsCeFO\nBVR1gV9OFvLhzNkMuY5BhpdTJ6wGTzVwoKZPaY/GT/HpOLfqx4yPZ1utDWGsy60gVeHubLdu3Uqr\nYHdqeJf+Y+0f6cN9i3aVPqORZx9Ur179pm5PN2POJ/xr9Cj6rFiBt7c3X8z7rtIXWoBzKWnU7VAL\nKO2KrOXtcF37nl7JuKeeZGikG91rlU5vmRGXxtYtm/nm+4VWb8sWYmJiOHI8gcOHDxMaGloutk6M\njo5m0U/L/ue4r68vO3btYc6cOWRlZrC4V2+rT2eqW68e25P2UdOn9Ln3njQzDzRoaNU2RPlU4Ypt\nUFAQCVkmSiwaBzvF0fRCAvx9pdAaxNXVlTmffWHTNpKSkigoKCAsLKzcLHvXtlULFsYfZ0hDX87m\nFLP1bB4vtW1r9XaSk88TXvuvbvoaHopzZ89avR1b8vf3p60N/m5swc/Pj/Hjx9vs+jPnfEq3Th3Y\nvj6F3EITzVu3ZdSoUTZrT5Qf5eOd6xr07duX2lEteGFDCh/tyuStbWl8YuM3e2EMi8XCQ/cPJbJO\nbdpGN6VV86akpKQYHQuA+QsXc9IphIGLjvLcmiTenPoBrVu3vqFrmkwmXp04kW7t2jC4/z0cO3aM\nbrf1YOHhXPJNZs7nFrP6ZBG3xfy1UIXWmp9//pl33nmH5cuX/+1KX1przp8/T0FBwQ3lEzeuZs2a\n7Dt4iC8XL2PFmg0sXbYCR0dHo2OJm+Hv5gNZ4w82nGdrNpv18uXL9RdffKEPHTpks3aEsWbNmqUb\nhfjp7/rX1T8Oqqf7NqiqB97Tz+hYl8jPz9dms9kq13rs4Yd0l9pBenG/aD2xQz0dHFBFnzhxQg8e\n0F87OTpoDzdX/cbrr19yzujHH9O1qvnovg2r6rAAH/3vp8Zc8v0TJ07oBnUjtLe7q3Z1dtLvvTvV\nKlkrirS0ND14wL06omZ13b1zBx0fH290JFHJcZl5thVugJS4dYwc8Qh6zzL61PUDICGjkJmHLBw6\nnmhwMuszm824u7py+JGO+LiU3uk89Es8d46byPDhw7FYLCilLnlccvToUVo3b8qMmGDcHO3JLTYz\nOvYMf+w/SI0aNQBo2zKauiVnuCfSh9T8El7emMzCn1bQoUMHQ35OW9FaM3PGDJb9uAT/KlV4ZfIU\n6tatS/s2rfDLOUlMmDv7kgtYdqqE/fGH8fX1NTqyqKRkiz1RYaSnp5OamkqdyPrsTTNjLptXuutc\nARF1bD/C2gilhRRKLppDW2zRF6YS2dn971rJ6enpBHi54uZY+hoPJ3v8PFxIT0+/8Jq4PXvpU8cb\npRQB7o60DHJlx47KN3L/1UkT+fD1CTQtOozDofV0bNuGuLg4Duzfz4gmvtT0caZPXR+C3e3YsmWL\n0XHFLajCDZASlVdhYSFNGtbnWMIJAMKqh1K9Zj3GrjmAp4sjudqRdT98clXXysvLIyEhgaCgIPz9\n/W84W1xcHJNeeJ7MjAx6330Pzz4/3qpzau3s7Hhi1Cju+2EBoxpWY29aPvuzTdx5552XPadBgwZk\nm+DX41m0q+7BxpO5FCvHS+ZWhwZVY19yPi2CPTCZLRzOKOEhG64oZpSZM6Yzua0vwZ6lmwckF6bx\nn//8h7yCQvJNFjyc7DFbNFkFJtysPHdWiKshd7ai3OjbpzcOOeeZ178u8/vXxb0oHa1h4bJYZny9\nkD8PHiIsLOyK19m0aRO1a1Sn/+1dqV2zBjOnT7/iOfv27aN9y2hCqwZwZ0yPS6bxHD58mDu6d6OH\nJYnnatrxw5xpvPyC9UesvvPe+zww7gWW24VQ3KQLm7bv/MfuTg8PD2J/XcP6HG8e/jmRzfm+xP66\nBldX1wuv+fzrb5m+O5M3d2Qybm0yUW060q9fP6tnL28sFgu/rVpJ34iqTF57mqXx6bz+exJB4XUr\nXRe6qBjkma24LsnJybw8/jkSjhyhees2TJry2iVv8tcjtKo/99dzpW310u3ndpzJZe7+HM6mZl71\nNcxmM9UDq/FR+5rcHh7Aiax8evywh7WbttKgQYO/PSc9PZ3GkXV5oWkQXar78dn+s6zPd2bHnr3Y\n2dnx5ptvkrhoDm91LO3CPp6ZT+9lBziTknpDP+/NcubMGXbs2IG/vz8dOnSolNPkJk14hXmfTKd/\nHXeScktYFJ/Jg/UDeb1jPeYfPMu6k2msPpPD2eQUXFxcrnxBIa5TpVnUQhivoKCAbh3a0cUbHg/x\n5usVCxn45z5+Whl7Q2/kvv5V2J+ccqHYHkjJx9vH75qukZaWRlFhAbeHBwAQ5u1GqxB/Dhw4cNli\nu23bNur6uPFAwxAAJrapRd0vtnD27FlCQ0NxcHCgwPzXB8eCEjMODuVnX90rCQkJISQkxOgYNjVx\n8qsEBFTl5x8X4xdRhce7h5O48nuUUgxpEIK/qxPxyqvcFNrk5GQ+/ngWWZmZ3NW3H507dzY6krAx\nKbbimm3evBl3Uz6vt2+MUorONfyp+9kmkpOT/3EXmCuZv3AxraObcTi9EDvgRHYxv2/55Zqu4efn\nh52DI5vPZNAuxJfzeUXEnU3ntX9Yj9fLy4uknHxKLBYc7OzIKDSRV1SMh0fphuFDhgyh5dtvMWXL\nMcK9XPhg71n+/fxL1/1zCutTSjF6zBhGl+1/nJWVRbsff2BY7AFC3ZxYeOQ83y5cbHDKUikpKbRo\n1oSGniVUcYYBn33KRx9/wqBBg4yOJmxIiq24ZkopzBc9IrBojebGl8ts1KgRRxISmTZtGhaLhTFj\nxlzzBhMODg58u+B7hg4cQG0/T46lZfH0s8/RpEmTy57Ttm1bIqKacc+y/XSo5saPiZmMHj0aH5/S\nJRKDg4PZtH0HU996g81paUx6dzxDhg69oZ9V2Ja3tzdb4nYxb948cnNzWRMTc8UN52+Wzz//nEj3\nEkY1L90Os0FAPhNefF6KbSUnz2zFNSssLKRNdDOinYvoEuzFvCNpuEc2Y9HSn4yOdkFKSgoHDx4k\nNDSUWrVqXfH1JpOJL774guPHjtGiZUvuueeeSz48FBYWsmzZMnJzc+natatN9wgWlduECa9waMnH\nDI0qLbZJOcVM2ZHD6XPJBicT1nC5Z7ZSbMV1ycjIYPIrL5Nw9DDRbdox/sWXcHJyMjqWTeTl5dG1\nQzucs1MJ8nBm3ck0floZS5s2bYyOJiqgnTt3EtO9K6Ob+hDg7sgX+7No3fNeZn48x+howgqk2Apx\nDc6cOcOSJUtQSpGWlsauBXP56vb6KKVYdCiJOecUW3ftMTqmKAfi4+NZsWIFbm5uDBo06MLjh3+y\ncuVKXnj2aU6fOk1eQQEaxZ29evH1dwvKzSAucX2k2ApxlQ4dOkTndm3pUd0bi4ZlR8/zr6ahPNOq\ntDv6WGYed8ce5cRZ62+pJyqWjRs30rdPL9qHuJJVDGdKXNget/uqFlL54P33WDjtHRbc0RAne8WI\nXw8R2as/b7/73k1ILmxFpv4IcZVefeUlnmhYlbHRYQCUFBfz+f4zDIwMItDdmfd2naZjp47GhrzI\nwYMHWblyJe7u7gwePBgvLy+jI90ynvv3U4xo7EWHGqV/5zPjUpn20UdMmjz5iuduWb+O4fUC8HIu\nfRt+tGE13tm4waZ5hXFkBSkh/kt6Sgr1fP9a0q937QB8A0NoPW8bwbPWkBlUh+mzr27ZSFtbt24d\n7du0Yu3ct/jmnVdo0TSKjIwMm7ZZXFzMtm3b2LFjByUlJTZtq7xLS0sn1POvsQrBboq0lKsb6BQa\nFs6W87kXtkXclpRNqAy8q7Sk2ArxX27vcydTd5/hVHYBiVkFvP/HWUY+OYacvHxy8/L5edVqvL29\njY4JwLinnmRklDePNvGjQ5ATSWdOE1g1gN4xPS7ZkMBa0tLSaNmsCUP79WJgnxg6tGlFTk6O1dup\nKO7o3Zt58TlkFpZwIrOQVScLuaN3n6s696UJE9mWa0+fZfvpv/IA35zI5o2p0oVcWckzWyH+i8Vi\n4aXxzzNn9myUUox6YjSvvv56uVzmMLx6MM9EuVBi0Uxce4oXOoZQw9uZb/ZnoqtHsWL1r1Zt77FH\nhpO0ZQUjmviigem70ml+5/28PfVdq7ZTURQWFjL68cdYtHgxri4uTJj8Kk88Mfqqz8/Ly+O3336j\npKSErl27ytZ/lYAMkBK3pN27d3Py5EmioqIIDw83Oo7VPf7oI+z77SfCPSC9oITHWwYCUGCy8MDS\n4xQVm6zaXqe2rejuco5mQe4AbDqZzQHPhvy8crVV2xGiopL9bMUt57lnnqZnt868Oe5xops0ZuH3\n3xsdyere/2g6EW1vY/HhbI5nFl14/ncquwhfb+sPlGoa3YKNZwsxWzQlFs2mpGKaNm9h9XaEqGzk\nzlZUSnFxcfTu0ZX3ugXi4WTP8YxCJmxMJjU9o1IuvlFUVETXTh0oOneCUA87Np3OZ+Yncxk4cKBV\n28nJyaF3TA8OHdyPRUOLlq344eflMjdUiDIy9UfcUhITE6nt746HU+nuPLV8XXBQpdvpBQYGGpzO\n+pydnVm74XcWLFhAamoqEzp3Jjo6+oavW1xczJEjR/Dy8qJ69ep4enqy7vfNHD9+HDs7O8LDw8vl\ns2whyhu5sxWV0tGjR2kd3ZSJ7QMI83FhY2I284+XkHj6LPb2FWd7PCMlJibSo2tninKzyC4oYsDA\nQcz+dK4UVyH+gQyQErec+fPm8dijI3Cyt8PV3Z2fV6yiWbNmRseqMLp37khI9hH61/cl32Rm0qZU\nJkydzpAhQ4yOJkS5JQOkxC1n8JAhpKZnsPfgIRJPn5VCe432799P5xqle/q6OdrTvIo9+/buNTiV\nEBWTFFtRIRw9epSHH7yfu/v05LO5c7naXhNnZ2dCQkKk6/g61KkTwbYzeQAUlVjYl26hXmSkwamE\nqJikG1mUe6dOnSK6aRNur+5IoJsDS47l8di/nmP8iy8aHa1SO3z4MN27dMLT3kx6XhFduvdg3oKF\n2NnJZ3QhLke6kUWFtWDBAlpUdWBgAz86hXnxdAs/PvrA9svamUzWXRCioqlbty4HDx9l7vc/8euG\nzcz/fpEU2htUUFDA0PsG4OrsjJ+3F9M+/NDoSOImkd8cUe6ZzWbsL/qc6GCnsFgsNmvv2LFjRDdu\nhKuLC0FV/FmxYoXN2irvPDw8aNu2LY0aNZJRyFbw76eeJHHnOubeWZPXOlbhrSkTWL58udGxxE0g\nxVaUewMGDGDL2SKWHc5k59lcPojL4NGRj9ukLa01fXvdwT1+ZlKevI0vukXw4JBBJCQk2KQ9cWv5\nZXUsgyI98XCyJ9TLmR7VnVm9aqWhmXJycti4cSN//PHHVY+FENdOiq0o92rVqsWaDRtJDY5mY0ko\nj417kclTXrNJWxkZGZw6fZonm9XA3k7RNsSXdtWrsGPHDpu0J24tVfyrkJhZdOHr03maqoFBhuWJ\nj4+nft0IHh96Lz27deK+e+/GbDYblqcykwFSQlzEZDLh6+XF+oEtqOPnTmGJmY4LdzNnwWI6d+5s\ndDxRwW3atIk7e91B62B3sootpOHOtrjd+Pj4GJKnQ5uWNDKfplcdH4rNFiZvTmXclHd56KGHDMlT\nGchyjUJcBUdHRz6cNo3ez47j9rAAdiVn06pLdzp16mR0NFEJtG/fnu1xu4mNjcXNzY3+/fvj6elp\nWJ6jR48xvL0fAE72djT2teNQfLxheSozKbZC/JdHRoygWfPm7Ny5k0GhofTs2VMGBwmriYiIICIi\nwugYADRq1Ih1iYfpX9+HfJOFnSlm7mra1OhYVmU2m5k9ezb7/thNg0ZRjBo1CgeHm1/6pBtZCGF1\nixcv5rfYVVQNCuZfY8fKpujl1MmTJ7m9Wxdys9LJKShm6NBhzPh4dqX5cKm1ZlD/ezm0fT0tqzoQ\nl2qmRuPSnaps9TPK2shCiJvi7bfe4NP3pvJI/ar8mVFAXJ4923bvMbS7VFyeyWTi+PHjeHp6Ehwc\nbHQcqzp27Bhtmjdh1h0hONnbYTJbGP1LEr9t3ELDhg1t0qYsaiGEsDmtNa9PeY1FvRsyqllNZnSL\npIaDiR9++MHoaOIyHB0dqVevXqUrtAD5+fm4OTviaFda+xzt7fB0caKgoOCmZ5FntkIIq9FaU1hc\njL+r04VjVVwdDXlzEyIyMhJ3H3/m78+kfagbW8/mo1w8aNSo0U3PIne2QgirsbOzY8DddzNqzWH2\nJmcz/8AZVp9IIyYmxuho4hbk6OjIr+s2UFijOR8dKCE7qAm/rd+Ii4vLTc8iz2yFEFZVUFDAc0+P\nZe2vvxIQEMA7H02nRYsWRscS4qaQAVJCCEOUlJSQkJCAl5cX1apVMzqOEDYlA6SEobKysjh16pRN\nNxAQ5c/JkydpXL8endu0oE6tMMaOeVLW3xW3JCm2wuYmvfIyIYHVaBnVkCYNIjl58qTRkcRN8tCw\nIbRwz2PW7UF83LM6yxbOY/HixUbHEldh/fr11K9TGz9vT/rccTupqalGR6rQpNgKm1qxYgXzPpnF\nHw+05dCDbelXxY7hQwcbHUvcJPv+/JNuYR4opfBwsqdFgD179uwxOpa4goSEBO6+qw/3BhfxQbdA\n7E7uoX+/u4yOVaFJsRU2tWvXLvrU9CXAzRmlFMMbBrNrzx9GxxI3Se1a4exMygfAZLawP9NCnTp1\nDE4lrmTDhg00C/KgVYgnPq4ODI/yY/O27RQWFhodrcKSebbCpsLDw/n5fB5FJRacHexYezKVsBrV\njY4lbpK5X35Dj25d+P1cOql5hbTr2IVhw4YZHUtcgY+PD+dyTVi0xk4pUvJNODo44OTkdOWTxd+S\n0cjCpsxmM4P738PuLZuo7u3OgdQclq/+hejoaKOjiZskKyuL3bt34+3tTdOmTSvNuruVmclk4rYu\nncg9fYRwTzs2nS3kpUmv8eRTTxkdrdyTqT/CMFprtm3bRmZmJi1atKBKlSpGRxJCXEFxcTFff/01\nSUlJtG/fnq5duxodqUKQYiuEEELYmMyzFUKUe9nZ2YwZ9Thd2rTi0YceJCUlxehIQliF3NkKIcoF\ni8VCt47tCck9x8CIKsQmZrAp34Htu//A2dnZ6HhCXBW5sxVClGsJCQkcOXiQ6V3q0rWGP290qI3O\nyWDXrl1GRxPihsnUHyFEuWBvb0+JxYJZa+xRaErn5trb29u87d9//53v58/DxdWVkaOeoHbt2jZv\nU9xapBtZCFEuaK3p2+sOzAkHuLeWH6tPZXHKtQrrN2/FwcF29wUrVqxg+NBBjG4URGaxmW+PpLFp\n+w4iIiJs1qaovKQbWQhRrimlWPjjT7Qe9DAr7EMJ7zmA2DXrLim0FouFKZMnUT8inGaN6ltlneU3\nJr3C+x1qM7ZFOJPaRXB/HX9mTp92w9cVlzp+/DhLlixhx44dRkcxhHQjCyHKDWdnZyZMmnzZ77/5\nxuvMn/MRIxp5kVucx+OPPISvry/dunW77jYLCgqo4uZ54esqLg4k5uVd9/XE/1q8eDGPDn+Q+tU8\nSUjPZ8DgYXw4fYbRsW4q6UYWQlQYjSPrcH8NE5FVXAFYGp+OU8u7mDX7k+u+5jtvvcm86e8ztX04\nGYUmxmw4yrzFP8oiDlZSUlKCn483kztUpbafC/kmM+PWnmfxsljatGljdDyru1w3stzZCiEqDHd3\nd7IK/9rqLavYQpiH5z+ccWXPPPc8FouFZ77+EmdnF2bO/UIKrRVlZWWBxUJtPxcA3Bztqe3nRmJi\nYqUstpcjd7ZCiApj5cqVDBs0gF5hruSaYNN5M9vjdhEWFmZ0NHEZWmvCa4TSL1TTLdybk1lFTPw9\nmc3b46hXr57R8axOlmsUQlQKW7Zs4fvv5uPq5sbIx0dRs2ZNoyOJK9i3bx99esaQk5WFyaL5ePYc\nhlbS3Z+k2AohhDCMxWIhOTkZPz+/Sr1Vn0z9EaISSUpK4vZuXfD18qRx/bps3brV6EhC/CM7OzsC\nAwMrdaH9J3JnK0QFo7WmRbMoaluS6RPhxf7kfObuz2XfgXiCgoKMjifELU3ubIWoJNLS0jhy+ChD\nG/ri4+JA+xpe1KvixpYtW4yOJoS4DJn6I0QF4+HhgclsJr2gBH83R8wWzfncInx8fIyOVi6YzWaW\nLl3K+fPnadeuHU2aNDE6khDSjSxERfTGf15j5nvv0CbQiSPZmuDIpixbtRo7u1u7s8psNtOvd0/O\nHdxLI393Viak8P7M2QwePNjoaOIWIaORhahkYmNj2b59O9WrV2fYsGE2Xay/oli6dCmvjhnJL3dH\n4WBnx97kbPou+5PUzCyU+p/3PyGsTlaQEqKSiYmJISYmxugY5UpycjL1/d1xKLvDb1jFk+y8fEpK\nSnB0dDQ4nbiV3dp9TkKISqVdu3asTkhhZ1ImJrOF/2xPoHXzplJoheGkG1kIUaksWbKEJx4dQWpm\nFu1aRvPdkh8JDg42Opa4RcgzWyHELcVsNmNvb290DHGLkXm2QohbihRaUZ5IsRVCCCFsTIqtEEII\nYWNSbIUQQggbk2IrhBBC2JgUWyGEEMLGpNgKIYQQNibFVgghhLAxKbZCCCGEjUmxFUIIIWxMiq0Q\nQghhY1JshRBCCBuTYiuEEKJcKCoqYtzYp2jaMJKY7l3Yu3ev0ZGsRnb9EUIIUS48MGQwh7f8OuPi\n8gAABCNJREFUwr11PDieWcSiIwXs3vcnoaGhRke7arLrjxBCiHLLYrGwYNEixrbwo14VV3pG+NCk\nmgurVq0yOppVSLEVQghhOKUUDvb25JssF47lmSw4OTkZmMp6pBtZCCFEuTB54gS++ngad9R04USO\nmUOFruz6Yx9eXl5GR7tql+tGlmIrhBCiXNBa88033/Bb7EqqBYXw3Pjx+Pv7Gx3rmkixFUIIIWxM\nBkgJIYQQBpFiK4QQQtiYFFshhBDCxqTYCiGEEDYmxVYIIYSwMQdbXlyp/xmQJYQQQtxybDb1Rwgh\nhBClpBtZCCGEsDEptkIIIYSNSbEVQgghbEyKrRA2opR6SSn1p1LqD6XULqVUSytfv7NS6uerPW6F\n9voqpSIv+nqtUqq5tdsRojKy6WhkIW5VSqk2QC+gqda6RCnlB9hir7DLjXC0xcjHfsAyIN4G1xai\nUpM7WyFsIwhI1VqXAGit07XW5wCUUs2VUuuUUjuUUiuVUtXKjq9VSn2glNqtlNqrlGpRdrylUmqz\nUipOKfW7UqrO1YZQSrkppeYqpbaWnX9n2fEHlVKLy9o/pJR666JzHik7tlUpNUcpNU0p1Ra4C3i7\n7C69VtnLByqltiml4pVS7a3xFydEZSTFVgjbWA3UKCtCM5RSnQCUUg7ANOBerXVL4HPgPxed56q1\nbgaMLvsewEGgg9Y6GpgIvHENOV4CftNatwG6AVOVUq5l32sCDACigPuUUiFKqSDgZaAV0B6IBLTW\negvwE/Cs1rq51vp42TXstdatgX8Dk64hlxC3FOlGFsIGtNZ5Zc8zO1Ja5L5TSo0H4oBGwC+qdNUX\nO+DsRafOLzt/o1LKUynlBXgBX5Xd0Wqu7ff2duBOpdSzZV87ATXK/v83rXUugFJqP1ATCADWaa2z\nyo4vBP7pTnpJ2X/jys4XQvwNKbZC2EjZhs4bgA1KqX3AA8Au4E+t9eW6XP/7WasGpgBrtNb3KKVq\nAmuvIYai9C76yCUHS58pF110yMJf7wfXsvTb/1/DjLyfCHFZ0o0shA0opeoqpSIuOtQUSAQOAQFl\nxQ6llINSqsFFr7uv7HgHIEtrnQN4A2fKvj/8GqPEAk9dlKvpFV6/A+iklPIu6/K+96Lv5VB6l305\nsj6rEJchxVYI2/AAviyb+rMHqA9M0lqbgP7AW2XHdwNtLzqvUCm1C5g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TgOtRV+g2qA8vvfRSWUcXolL4cuEXvDxzJqgqDevX48etv7Jm8xa+nP8JOp2O\npd+/V+gm9Iqi8Pe+b3GnjPTs2ZOEW0mkpKTg4uJS6EIRNX18+eU3/b1nLy8mZVGjxn+/qJemO3fu\ncPHiRdzd3bG2suR2lhY7i7yJn7ez9djY2BT5WDqdjsfHj2XrLz9jY2GOk5sHO/cGU61aNUPFr5Ly\nnSClKMreu7+1AloCp8kbRm4MHFdVtV2BB64gE6RUVWXXrl3ExMTg7u5OdnY23t7e9y20ANu2bWPy\ncy+Qdvs2XQc/SkJ0JKcO7ObC+XMFDjUJIe7vwIEDjBo8gG2DGlPLwZq5xyI5YerO7gMP1jtMS0uj\nRaOG9PG0pLWnHV9fSMSvQ3e+XlFwj7ikNBoNXTu2R3MzFmdrM8JvZbFrb7DBtvM8efIkfXv1wN5c\n4WaahnbtO3DmxDF6+lgSe0clWmdHSOhpHBwcinS8ZcuWseDtV3ijvRsWpgqrzqWQ49OCLVt/NUj+\nyu6BF7VQVbXb3YabgeZ/LmqhKEpD4C0D5SxTqqoyYeIkgg8epna9Rpw5sp95H3+Ub6EF6NSpE4o2\nl6YdupGUEM+Na1fp2KkTvr6+ZZhciMrjyJEjDPJzo7ZjXm9selMf6nx78IGP4+DgwIGjx3j7f7NZ\nHx1Fz8eHMXPWrNKO+x82NjYc+OMoO3bsQKPR0KVLF7y8vAx2vlHDhzIm0JIutRxJy9byanAIU196\nhYT4ODp7eDBt2vQiF1qAM6Enae1hdm+Zxs7etnwaVmGWUqgwijIwX+fvq0epqnpWUZR6BsxUZg4c\nOMDe4P28u+o3LKysibt6mSmPDWTsmDH53rNwcHDgwP5gXnr5Za5di2dA7x68/95cWZFKiGKqUaMG\nm27dQavXY2ZiwrHrKVT39CjWsby8vFhUgsX4i8vS0pIBAwy//IBeryci6hodWwUB4GBpRiMPaxwd\nHXn11eJNralTvwHfbttAX52KualCSLyGoKD6pRlbULRie0ZRlOXAD3dfjwEqxdeehIQEvAPqYGGV\nN/mhhl8giolCWlpagc/UeXt7s26NPEMrxIMIDw/n8uXL1KlTh6CgoHvvjxgxgjXff0fXTafxd7bl\nYMwt1m3eYsSk5ZeJiQl+Pt4cjkmnk68D6dk6wm5mMrPe/fs/8fHxXLt2jYCAANzd3e/7maeffprt\nv25l+q4/sLe2IMfEkj0/fmPIy6iaVFUt8Bd592yfB368++t5wKoI7dTy7sqVK6qzi6v6zoqf1VUn\notXHZr5m76dWAAAgAElEQVStBtapq+r1emNHE6JS+Wz+PNXD0V7tWddXdXewUxcv+uoff67VatXt\n27erq1evViMjI40TsoI4fvy46uHqrNap4aY629mos2a+dN/PLVm8WHW0s1Hr1XRXnext1c2bN+d7\nTL1er546dUo9fPiweufOHUNFrxLu1r7/1MRCV5AqrvIyQWrHjh289PIr3L6dQp/evZk+bSq//fYb\npqamPProo4SEhPDYhAmkp6dTt159fty0UZ5PE6IUxcTE0LRBPQ6MaEFNe2uu3tbQbeMJLl2Nyre3\nJQqWnp7OhQsX8PDwuO/EzGvXrtG0YX0+6OpFNXsLIpKzeOfQTWLir2Nvb1/2gauQB54gpSjKelVV\nRyiKEgb8p2qqqtq4lDOWujNnzvDo6DFM+t/HVPP1Y+2CubRt34H2vQejzclm7vvvY29nT65Wh6KY\ncDMxkR+3bGHmSy/JPVghSklMTAx+ro7UtM+7XePnZEM1Bzvi4uKk2BaBqqpcu3aN7Oxsdu/axZHD\nB6nl58/Ml2flWzivXLlCLVc7qtlbABDgYoWjtTmxsbHUy2fIWRhWQfdsZ9z9Z8EPt5Vjv//+O+37\nPELzzg8D8Pir7/PiI12Y8MocAKb0aknXkRPpOeIx4qOu8M6koSz4chF2dnZMfvZZY0YXokJSVZXN\nmzcTFhZGnTp1GDlyJEFBQUQmp3MkPoW21Z0JjknipiYLPz8/Y8ct93JychgxZDAHD+xHr9Wi1+sY\nVs+FQyG72frTFv4IOYGlpeV/2gUGBhKVfIfYNFtqOlhy8VYmaVna+y7UI8pGQY/+XL/724eB/aqq\nXi6bSKXHzs6OlMSEe6+TE69jaZO3SHh2ZiZpKcn0GJ63CHr1Wv40atsZeycXNmzaLMVWiGJ4buoU\n9mzZSG9vB+Z/m8Hvv/zMd6tWs3LtOkY9OhILEwWdorBu048P9HhKVfXp/E+IP3uMJb1rYGqisDgk\ngdi0HKa38uS1Awns3buX3r17/6edt7c3ny74ghlTp+DhYEPSnWxWrl6DnZ2dEa5CQNFmI/sASxRF\nqQWcAPYDB1RVPWXAXKVizJgxfPb5Aha/8RyePrXZuW4F1rZ2JMZFk5OVhampKRFhoQQ2bk5WpobI\nC2E0ad8Ve/kLKcQDi42N5Yfvv+fUuDY4WprzklZHi9W/cf78efr06UN84k1u3LiBl5cXFhYWxo5b\nIZw6cZx2XuaY390PuGttR74LTURRFGwtTMnJycm37YQJj9O//wCio6Px8/PDycmprGKL+yi02Kqq\n+iaAoijWwJPATOAz4P6bwpYjjo6OHD3yB0uWLCE5JYUNa1ezY+cu5kx8BFNTU0aNepT5z0+gZkA9\nEqKjcHR144/fNrNj++/Gji5EhZOamoqLrRWOlnk7YFmbmeJlb3NvBxxLS0t8fHyMGbFciY2NZeYL\nM4i8coXW7drz/ocf/2d7vjr1G7In9ABda6mYKPBHTDr2lqb8GH6bOI1Kp06dCjyHm5sbbm5uhrwM\nUURF2c92NtABsANCgYPk9WyvF9KuXMxG/reoqChGjRnLieMh1PT24f25c7h58ybHjx+nevXqjBkz\nhgYNGhR+ICHEP+Tk5NAwKJDxvjaMrOPFtqs3mX/uJucuRcgM2H/JyMigcf16tHbOpZGbBTujM7H0\nbcTvO3f/Y3KmRqOhT4/uRF0Ox9LMhNuZWtzc3QgICODTL77C39/fiFch7ie/2chFKbYnAS2wDQgG\n/lBVNbsIJyx3xVZVVRo0akyTbv3oNWoS548fZvk7LxJ2+jQ1atQwdjwhKryrV68yadwYzp4/T6C/\nP8u//4H69Q27GpGqqkRFRZGbm4u/vz+mpuV+0I3t27cz6+lxvNPeFQCtXmX8lkjCLoQTFRWFlZUV\nrVq1wszMDJ1Ox6lTp8jJyaFZs2ZYWVkZOb0oyAM/+vMnVVWbK4riQF7vtgewVFGURFVVOxogp0El\nJiYSHxfH7MenoCgKzTp1J7BRc0JCQv5RbHfu3MmChV+iqirPPv0U/fr1M2JqISoOPz8/9h76o8zO\nl5OTw8ghgzl88CCWZqbUrO3Hrzt3l/v7k2ZmZmTlaO/tFKTVq+Roc2nRtAk1HK24k6PFJ6Auv+3c\njbW1NS1atDB2ZFFCBe8dxb2NB8YAjwEjgThgj4FzGYSDgwM52dkkJcQDkJuTTUJ0JK6urvc+s3v3\nbh4dM5aaLbvi2+ZhJkx6gq1btxorshCiAPPnfYLm0hnOjW/LmbGtqaNN4eUXnjN2rEJ17NiRDL0Z\nnx25zr7IVObuj6WJpw1KbiZzO7oyr6sH2uuX+ezT+caOKkpJUWYjf0DeDOQFQIiqqrmGjWQ41tbW\nzJk7h7lPDqN5lx5cCQuldcsWdOz4Vyf9q8VLGPrsTDr3HwaAiYnCwq8WFbqXphCi7J05cZwhtZ2x\nuDtbd2SgO2+Hhho5VeEsLS0Z89gEfv5mIcfjM2hRzZZGHja8fzAOAFMThUYuplwOv2DkpA8uJSWF\n27dv4+3tLZvQ/02hPVtVVfurqvqRqqqHK3Kh/dMLzz/PhrWrebhlQ957azbr1qz+x4QERTH5x67T\nfw7zlIZdu3axYMECduzYUSrHE6KqC6rfgN9jU9Hp89af3RaVRFAFWSFpwoTHuZFjSkNPG7wdLfn0\nWCKutpboVZUsrZ7DCbm0aFPgtuHlzpx33qZm9Wq0a9GEeoH+XLlyxdiRyo1Kvzbyg9q7dy/DRoxk\n6OSXMTU1ZeOXH7Hi26/p27dviY4765VXWb1uPQ3adOL8sYOMGDqETz7+qJRSC1E1aTQa+vV8mNiI\nS1iZm4KtI7v3H8TDo3hb9JW1kJAQ3vnf66Snp9Gr3wC2bNrI1YjLZGt1DB48mG+//6FCTPiCvFtw\nj40cwtxOHjhbm/Hzpduc0Xty7GS5X5KhVBV7NnIJTlghiy3Anj17+OLLr1BVlWeeevK+K7Q8iOjo\naBo3bcbHm/dh5+hMRtptZg3txomQY9SuXbuUUgtRNf05W1er1dK0adP7Ll9YUej1emJjY7G0tMTT\n09OoWVRVJT4+Hmtr6wK3HP3TvHnzOPDNR0xskvfZzFw9j/0cSVZ2/gtvVEb5FdtCh5Grok6dOvFQ\n1y5U8/LiypUraLXaEh3v1q1buHlWw87RGQA7ByfcPKtx69at0ogrRLkTHx/P4cOHSUxMNPi5TE1N\nadGiBW3atKnQhRby9qv18fExeqFNSkqifeuWNKoXhE+N6jz71JMU1nny8/PjfEou2Vo9AKEJGdTy\nlkcq/5RvsVUU5RdFUX7O71dZhixLqqoybMRIvlmzkTu2HixZsZpRY8YW+hetIHXq1EGTdpsDWzeR\nm5PNwV9/JC35FnXr1i3F5EKUD998vZxGdYOYMWY49QL82bB+vbEjiQc05ZmncLsTwzf9vFnWz4fg\nrZv47rvvCmwzePBg2nbtxXO7E3j7jxSWn73DilVryyZwBZDvMLKiKF0KaqiqanCBB66gw8jnz5/n\noR49+fjH/ZiZW5CTncWLAzty5PBBAgICinSM7OxsEhIS8PT0vPcA+unTpxk1ZiyXL4bjHxjEmlU/\n0KxZM0NeihBlLjY2lib167JrSDP8nW05k5jGwF/OcDU6ttw/+yr+ElTbl6n1TKjllPfz65eLyZi1\nHMiiJcsKbKeqKidPniQpKYlmzZpVyS0UH3hRi8KKaWWl0WiwsXPAzDxvoXRzC0ts7OzIzMwsUvu8\nCVYjMDUzJycri5Xfr2DAgAE0adKE82fDSnV2sxDlzdWrVwlyd8LfOW+N38YeDnjYWRMTEyPFtgKp\n7Veb0zcuUsvJCp1e5WyyjqGBdQptpyiKLMCRj6Is1xgIvA/UB+6tE6aqaoGbUVbUnm1WVhaNmzaj\ncdc+tHqoD0d3/EL4kb2cOnmi0J1KMjIy8K1dm2fe/YKGbToSERbK/OcncPHChQozO1KIkoiPj6dR\n3SB+HdyUeq52nEi4zbBfzxEZE/dAW+qFh4dz+fJl6tSpQ1BQkAETi/uJiIiga6cOuFtCWlYu3gF1\n+X3XHlkqsghKMkHqW2AReesjdwO+B34o3Xj3d+3aNbZv386lS5fK4nQAWFlZsWnDemJPH2HhS0+i\nT45j984dRdoSLDIyEnsnFxq2yVskI6BRM6r7+hEeHl5o299++42GjZvi7VuLZ56dTFZWVomvRYiy\nVr16dRZ8tZjeP56i3YZQhv16jm9XrnqgQvv5p/Pp0rY1C1+eRsdWLViyeJEBE4v7CQgI4Fz4JT5c\nupLvNvzErn37pdCWUFF6tidUVW2hKEqYqqqN/v5eIe1K1LNdvWYNU6ZMpXbdBly7HM4rr8xi5osv\nFvt4RXXq1Cl69e5DtVr+3EqIp3XLFmxYt7ZIz7olJSVR28+ft77/hWo+tUm6cZ3Zo3tz6uQJatWq\nlW+70NBQuvfoyZNvzcezpi9rP59Do4BafL1saSlemRBlJykpiejoaGrVqoWzs3OR28XExNC0QT32\nD2+Bt4M1V29r6LbxBBevRMrokKgQir0RAZCtKIoJcFlRlKnkrY1s0N3V09PTeeaZZ5m9fCPeAXVJ\nTrzOG2P7MXjgQAIDAw15aiY9+RRDpsyic/9haHNz+ODZUaxevZpx48YV2tbV1ZX58+fx8qQh+NVr\nRGT4Wd743+wCCy3k9Wo79h9G0w7dABg/ay5vje8nxVZUWK6urv9Yc7yoYmJi8HN1xNvBGgA/Jxuq\nO9oRFxcnxVZUaEUptjMAG2A68C7wEHmbEhjM9evXsXdyxjsg79EYF49q+PgHERUVZfBiGxl5lSfa\ndgbAzNyCoGZtHmjJsScmTaJb166Eh4fj7+9fpMd77OzsSLnx1/bASQnx2Noa9PuMEOVSUFAQkcnp\nHIlPoW11Z4Jjkki8k1Wq+7ZGR0ej0WgICAiQtXtFmSnKFnshAHd7t9NVVU03dChvb2+yM+8QdmQ/\njdp25tql80RdukC9Ul7zVFVVLl68SGpqKg0bNsTW1pamTZuxd/NqBj85g/TbKYTu287ETz95oOP6\n+/s/0A+H8ePHs+CLhSx583nca/iy78dVfDbvwc4pRFm4evUqV65coU6dOvj4+JT68d3c3Fi5dh2j\nHh2JhYmCFoW1Gzc/0D3f/Oh0OiaOH8uvv/yCnZUFju6e/L57L15eXqWQXIiCFeWebUvyJknZ330r\nFZioquqJQtqV6J5tcHAwQ4cPx9zCCk1GOsuWLmHEiBHFPt6/6fV6JkycxG+//46LmweatNvs2rkD\nGxsbevftR2JiIpo7d5g+fTrvvze31M6bn5SUFJYuXUrK7dv06d2bLl0KfMxZiDK3cMHnvP2/2dT3\ndOb8jRTmf/El48aPN8i5srOzuXHjBl5eXkWanFgUS5cu5bv332Rzv4ZYm5nw1pGrxHjUZePPvxTY\nLiMjg/j4eGrWrImNjU2pZBGVV7HXRlYU5QwwRVXVA3dfdwS+UlW1cSHtSvzoT1ZWFnFxcXh5eWFr\na1uiY/3b6tWrefuDj3l18Xosra3Zue47Luz/nT8OH0Sn0xEbG4uDg8MDTe4QorK6du0aLRo1YN/w\nFvg4WHMxOYOem09xNTqmwvw/MvXZp6l5PpjJzWsBcP5WOo8djOVi5LV822xYv54nJj6OvbU5mbl6\n1m/6ke7du5dRYlERleTRH92fhRZAVdWD5D0GZHBWVlb4+/uXeqGFvOf4GrbtgqV13kSMlg/14dLl\ni0DeWqu+vr4V5oeIEIZ27do1At2d8Lk7camOix2e9jbExcUV2C45OZn169ezadMmMjIySi2Pqqqs\nXr2al2e+xLJly4q0fnlg3frsjEsnV5e3du+vUUkFPsMbHx/PU09M5O2OHnzQ2Z1AOz1D+vfhhRnT\ni7zIjRB/KsrsgGBFUZYAawAVGAnsUxSlOYCqqicNmM9gGjZsyOqN79J33NPY2Nlz+Pct1K/foNB2\nWq2W9PR0nJycZCUoUWUEBQVx+VYqpxLTaOrhwKHYZJIys/H19c23TVRUFF3at6WeoyU5Oj2vzzTj\nwNFjpbKE37Rnn+HQti0M8HFk5eYMfvv5Jzb9/EuB/09OnjyZ3b//Rsu1x3C2tiQdc3YG57/84KVL\nl/BxsaWmowUvbb9GI08bevo7s/uXVQy9cJ5t23ca7WdAVlYWp0+fxtLSksaNG2NiInvKlHdFGUbe\nW8Afq6qqPpRPu3K9gpSqqkyeMpU1a9fi5OKKourZtWN7gRObvvn2W6ZNm46iKPj4+rL155/w8ytw\nIS0hKo1Nmzbx5OMTcLK2ID1Hy+r1G+nRo0e+nx89fCj+188xs1UtAF4+cBmrdn347IuFJcqRkJBA\nvQA/zoxvh6OlOTk6Pa3XHmfDbzsLXSpQr9cTFhaGRqOhSZMmBd6DjYqKonnjhkxq5MhP4cl83NMX\nRVHQ6lUmbYvm3MUIqlevXqJrKY74+Hge6twRvSYNTY6WBk2a8fOvv1f4HY8qi2I/Z6uqajfDRDIu\nRVFY9NWXvPrKLFJTUwkKCirwL2toaCgvz3qVd1ZupZqvH7/+sJShw0cQeuJ4GaYWwniGDh1Kr169\nijxZKD4mhpE17O+9buVuy/bo/O+PFlVGRgb2VpY4WOT9+LIwNcHT3qZIw9QmJiY0adIk3z/XarWE\nhoai0+lo1qwZb77zLrNfexUn878+o6p5v4zVq50++Rma2GgY09odnV7lw6NhfPbpp8x65ZViH1On\n02FiYiKjdQZU6NiDoiieiqJ8rSjKb3df11cUZZLho5UNHx8fGjVqVOi3wpCQEJp27Eb1Wv4oikKf\n0U8QdvoUubm5ZZRUCOOzs7MjKCioSLNy23fpwuKz18nU6kjNzuXr8Ju071r87+7h4eHs3bsXW1tb\nnNw9eO9YJFGpGpaejiE+U1viXbQyMjLo3L4tw/v3ZNwj/WjVrAljxo7j6PGTWDh7sCQ0mT9i0vnw\njwTq1a9vtD1nL4ZfoHW1vKUTTU0UmrubEX4urFjHunPnDsMGD8Taygp7Wxs+/OB9AG7cuMF3333H\nqlWrSE1NLbXsVVlRBvq/A7YDf46XXAKeM1Sg8qpmzZpEnj9DTnbemsWXw07i4uaGubl5IS3zpKSk\n3Jsokp5u8EeVhTC6N9+Zg3Pjtvgu2UfAsv007dGfadNnPPBxbt26xfjRo+jSthWznxxPk/p1+d87\nczhn50P/X8PZlu3Ajr3BJX4Wd847b2OVEs1nD3nySVd3aispzHrpBerXr0/IyVPEmbmx9ORNMrJy\niY+8zMsvGX752H/LycnB0cWVlWHJxKZmk6PTc/SGlsbNi7fTznPTpnDr7B+sesSPz3rU4Kt5H7Jw\n4UIaN6jPN3Nn8fnrM2jSsD6JiYmlfCVVT1Hu2YaoqtpKUZRQVVWb3X3vlKqqTQtpV67v2T4oVVUZ\nPXYch48eo6Z/EBeOH2Hl9yvo169foW2vXbtGh46dqO5fh9ycHNJvJfDHoYNVcq9HUfVkZmZiYmJS\nrHuK27ZtY/SI4dgoeo6M64CzlTl7rt1i8oEo4hJvluqw5yP9++CfcobOvnlF+1TCHXbc8eDg0eNc\nvHiRjq1b8EXP6tiYm5KRo+PZ32M5f/EyNWrUuHeM9evX89Gct8nOyeGxSU/y4kszSy1jdnY23bt0\nIjX2Ci7mOo7FpmNuYU6PHj1Zt3FzsVbDCvD15rmG5vg45v232XIhiUOpNnR0ymJQ3bynMRaFJIBf\nK37bvqNUrqOyK8mjP3cURXElbyYyiqK0JW9hiypFURRW/7CS779exvSJ4zgecqxIhRZg1quv0r7/\nCJ7/9Fte/nIVQS078vY77xo4sRDlg7W1dbEKbWZmJuNHj+KpBtXo6uOKs1XeKFI3H1eSbqeW+uM3\nTVq04vD1HHJ1Kjq9ysG4LJre7TEmJyfj7mCDjXnehiR2Fqa42FqRnJx8r/327duZ9vQk+rumMdY7\nh8Xz3mfBZ5+WWr5Vq1aRlRDJu53cebFdNV7tWAMXZxc2/vhTsZed9PT05Gpy3midqqpEZajk5mTj\n5/zXQiJ13Kw5tH8vsbGxpXIdVVVRiu0LwM+Av6Ioh8jbYm+aQVOVU4qi0KVLF0aOHPlAs5Dj4uIJ\naNz83mv/Rs2ILeT5RCGquoSEBGzMTekf4MH+mCRi0/OK66aLCfhUr1bqqzm9+trrOAc25ZnfY3l2\nezyZLrV578OPgbxHBVOy9eyJTEWTq+O3iNvozCz/sVb7mpUreCTAlubV7KjnbsOE+vas+v67Ust3\n48YNfGwVTO72lP1cLEm+nVqinvOnC79ixYUMvjiZwpwjySSaOtP5oYdZdzYJTa6O21latl5KwdHG\nmsuXL5fWpVRJRZmNfFJRlC5AHUABLqqqKrOCHkDHDh3YufZb6jRthVarZe+mH3h8dOktPSlEZVSt\nWjWydHru5OqY3qI2bVcewtrMDFMbO37duavUz2dpacnW33cQFRWFTqfDz8/v3vOr9vb2bN+1h7GP\njmBpaCT16gSxY/eGf+zxam1rR2q2/t7rtBxdqX4h6Ny5M59++B4P1cqmmp0F6y6k0qVTxxIds3Xr\n1pw8HcauXbuwsbFh4MCBZGVl4VtjLeM2X8ZEUehWy4EjCTmluhlElaSq6n1/Aa0Ar7+9Hg/8BCwA\nXPJr97fPqyJPVlaWOnLUaNXC0lI1t7BQn3r6GVWr1Ro7lhDl3o4dO1Q3Rwe1QU1P1cHWWn33nbfV\nrKwsY8e6r/DwcNXVyUEd3tBdHdfEXXVxsFN37NhRquf4evly1cHOVjUzNVG7d+mk3rp1q1SP/6eN\nGzaojnY2av2abqqjnY26eNEig5ynMrpb+/5TE/OdIKUoykngYVVVkxVF6QysJW/4uClQT1XVYQUV\n8co2Qao0ZGVloSiKPHwuKpTExESeGD+WP44epZqnJ18t/4aOHUvWo3oQqampXL16lZo1a5b7SYWX\nLl1i6ZLF5GRlM2rsWNq1a1fq51BVFb1ej6mpaakf++9u3LhBREQEtWrV+sckMFGwB96IQFGU06qq\nNrn7+y+Bm6qqvnX3dZWYjZyTk8OHH31E6KnT1AkM5PXXX8POTvaZFVVL57ZtaKxLYkYzb0Ku32bG\ngaucOBNmkC32hKjoijMb2VRRlD/v6XYH9vztzyr9jsuqqjJsxEh+3hlM9eadORx2ke49epKbm0tO\nTg4DBgygTp06TJw40dhRhTCYjIwMQkJDmdPBH09bS/oHeNLR25VDhw4ZO1q5k5mZydq1a/n666+J\niooydhxRzhRUNNeQtwnBLSAT+HOLvQCqwKM/MTExHDx4kM+2HcHcwpJ2vQYxe1Qvjh49yqBHhmJt\n70jjdp3Zsm0b+wICuRohM/VE5WNlZYWiKMSlZ+HtYI1Or3ItVYOTk5Oxo5UrGRkZdGrXBpP0RFys\nTJn5wnP8un0nbdu2NXY0UU7kW2xVVZ2rKMpuoBqw429jwiZUgUd/dDodpqammJrm/StSFAUzc3NW\nrFiBVq9n7qptWFhZM3DiVKb1acOJEycKXQRdVVXOnTtHVlYWDRs2/MdMRiHKIzMzM+bOnUu/D+Yy\n1M+Vk0mZuPoFFbgBQVW0aNEi7DMTebGdK4qisP+aKdOffZpjoaeNHU2UEwUOB6uqeuQ+710yXJzy\nw9fXl7p167L83Zl06DuU04f2YIYerVaLq2c1LKzy9vV0dHHDysaWixcvFlhsc3NzeWToMI6fOImN\nnT3mJrBn106ZeCAMJisrC51OV+L9oJ9/8SXqN2zEiu++o2aQGTNmzCj2IgqVVcL1eGrZKfeeefV3\ntmJDlCxxKP4imyDeh1arZeHChQQGBKCm3WL39wtxMc0leO8enn32WeIiL3N4+09o0tPY+v0ScnOy\nGThwYIHHXLhwIfFJqXz8YzBz1+6gYcceTC3GOrFCFEav1zNjymScHBxwc3FmyID+aDSaYh9Pp9Px\n5WfzuXR4L6bnDtO/x0OsWb26FBNXLNevX2fWzJk8PelxfvnlFwC6PdSdvbHZ3MjIIUenZ+PFNLp2\n7WrcoKJckWL7L39OjPp27SZ0rj6kZOZSvXo1vvvmazw8PGjdujWvvfIKX895hae7N+GnrxfwzfJl\nhc5SvhB+kcYdH8bMPG8ZtJbd+3LhQnhZXJKoYpYsXszhrZu5NKkT0U91Rb1yhtdenlns423bto3Y\nc6fZMbgxC7oEsqlfQ6Y88zR/f9pAVVWWLF5Mp1Yt6N6xHb/++mtpXEq5k5iYSNsWzUjfu5mAq0eY\nNnE8SxYvpn///jz3ymye3xXP6M1XsA1qycLFS40dV5QjUmz/JTw8nCNHj/L8p9/Qe9REXvjsW/bv\n309ERMS9z7z55ptoMtLR5uaSkZbK6NGj2bdvHy+8+CJvv/02N27c+M9xGzaoT2jwdnKys1BVlaM7\nfqZhwwZleWmiijgcvJcJddxwsjLH0syEZxtV448D+4t9vMTEROq52GJ2dzWl+q72pGsy/7G95NIl\nS5j/1mxe9FaY4JTJ46MfZd++fSW9lHLnhx9+oJO7FR90CuTppr6s6FGXD959G4AXX5pJ+h0Nmsws\nft72G/b29oUcTVQlUmz/RaPRYGNrj7lF3sIT5haW2NjZF7jo+dq1axn+6Cjic8w5dO4KLVu1/s+W\nVJMnTybAuxovDuzIrKFduRxygIULPjfotYiqqWat2hxNvHOv53n0eho1vB/8mVhVVYmMjMTLy4ud\nUTc5fv02uTo9HxyLpHWzJlhY/LVY/ffLlvBRh9o85OvGoEAvXmxag1XffVtq11ReZGZm4mzx12IS\nLlYWZGVn33utKIrczxb3JX8r/qVhw4aYmypsWvQJrbr34+jOX7C1tqJu3br5tnnjrbd5ds4X1GvR\nlqO7thGydzsNGjXmsfHjGTd2DL///js2NjYsXbyIlJQUMjMzqVu3bpH3whXiQcx69TU6//wT/X45\ni52FGedSMtl78JcHOkZubi6jhg3lQPA+rM3NcHR2YdSOiySlptGuZXPWb9nyj8+bW5hzJ+evnm56\nrjbTrVQAAB93SURBVA6LSrhS2uDBg+n68Yc0c7OjtpM1bx2L5tHRo0v9PKGhoUwcP4Zr0TE0bdKE\nFavW4O3tXernEWWn0P1si33gCryCVFxcHJOnTuNCeDgN6tfnyy8WUL169Xw/X8PbhxcXruL2zRt8\n8eoUJr/7OU7uHiyaPZ3EuBi6DBxBekoSMRdOE3LsKG5ubmV4NaIq0mg07Ny5k9zcXLp164arq+sD\ntZ/z7jtsX7aAzYOaY/H/9u4zvopqffv4b6WHQCAJJLQA0qQjHaRKkyLCQUCxUxQFRUApikpTVLoH\nwQoesIBiFAgIBBAIHZRilC7SlFACIb3sZP4vkgfxoYZksglc3ze6J2tm39uP2VfWzCquhqHhB0mp\n3IBZc7+84jKBoaGhPPPk4wytVYKYlDRm/hbJT+s3UL169Wx9jtTUVHbu3IllWdSqVetfvWln2bBh\nA68PfZkLF6Lp8GAXRo97K0f/cI6KiqJyxfI8dnc+agXlY8WfsexO8uXXPfsubowgt64sL9eYA2+Y\nZ8M2q14aNJjwbTvwLRxEsdJl6dz7BQBGPtaBB3sNoEHrjH1vZ789gnurlmPMmDHOLFfkusqVLMag\nygE8Va0kAD+fjGbQjrP8euDQFdvHxcXx2muvsXF9OGVKl2b0uLeyHbQXLlzg/pYtiDn5F8ZAvsJB\nhK0Nx8/P77K2lmUx+o03+GjmDACe6z+A0ePG5ejm8rll+fLlvN7/ad5smPE5Lcui749/seO3Perd\n5gHZ2TxeMiUlJbFjxw72799PWloayZnPaiZNnEDLe+vz26afOPP3Pxssx12Ipmipuy6+Dip1F+ej\no3O9bpGsSEtL49jJ0yw/fBpHejqWZbH40Cny+xa8YvvY2FjurVeHIysX0sQ9lg3r1uTI3qdjR71B\nBUc0m3vUYlP3WtRwjeeNV0dcse2MD6YTOudTVnSuzorO1Vk85xNmfDA92zU4Q6FChTgdm0RqWkZn\nJSY5jYSUVA24yuPUs71BR48epVXrNqS7uHE+6gzJiYmkpCTTvMV9LPhmPv7+/pw8eZK69epTpVEL\nCgYEsmLeLMpXu4e+b04k5lwU77/yDJ9/9gnt27d39scRuSrLsvDzzU8VXw8i45PxcXfjr7hk3n1/\nOs8+++xl7WfOnMny6e/yZbsqAGw8cY6B205y8OjxbNXRqW0rHvE8R6fyQQCE/XmGT855Exa+4bK2\nD7RpSU+v8xfbhh46xbwkP5as/OmytnazLItjx46RnJxMuXLlsrw7j2VZPNS5Ewd3bqZyQRe2nU7l\niWeeZ9zb79hUseQk9Wyzqd/z/anb7j+8PT+MaaGbKFWxCk8PG4e7f3H6PJPxBVSsWDF++Xk7zWpU\npFwhdz6c8QEXTv3N8B5teG/AY7w2YpiCVm55xhgmTJrC0cR07i0ZQD5vLypVq8bTTz99xfbnz5+n\nbIF/nqWW8/PhQkxstuuoUbsu3x2OwpGeTlq6xYI/oqheu/YV2/oFFOZQ9D8LdxyKTsS/cO5vx+dw\nOHjkoa7Uq1GN1vc2oFHd2kRFRWXpGsYYFvywiKFvT6VKtwFMn/WFgvY2oJ7tDSp9V1lemvo/ipUu\nC0DonI+IPnuKjk88y+gnHuDM6X/PrT179izVqtfg/sf7UfGeuoTNn413WhLLf1zqjPLlNrNp0yZm\nTptKWpqDXv2ep23btjn+HuHh4YSHhxMYGMhTTz111X2Yt2/fzgNtWzGnTWXKFsrHa5sOk696Q+bO\n+yZb75+YmEiXju2J2LUTg6FStWos+nH5FReQOXDgAM0aNaRdqYwNEpYfiyZ88xYqVqyYrRqyasrk\nySz5cArz21fB09WF4RsOkXR3ff731bxcrUOcRwOksqldh44UvKsKXfq+REpSIu/0f4xmnbqTv5Af\nK+d8QMTuXf9qHxISwnvTP2Lw1Iy5ho7UVJ5tUY3TpyL17EWyZfPmzTzYri0j6gTj6erCWz8fY9aX\n8+jYsWOu15KQkMDChQtZHx7O8tBFxCUk0L5dO2Z+Oitbez+vXr2aFcuW4RcQQLt27ShQoABly5a9\n5mjcEydOsGDBAgC6d+9OyZIlb/r9b1avxx+lVuRunq6eMZDpl8hoXv41mh2/a7W4O8XVwlbzbG/Q\nJx99SKs2bdkaFkrUmVN4enmz/5dNRGxZz6KFP1zW3tPTk4TYGCzLwhhDUkIc6elpmlsr2fbR9PcZ\nXrskz9TMWKjCx92VDyZPyPWwjY2NpVmjBvinxFI0nwdx8QksXracRo0aZeu6s2fN4s1hL9OrUhF2\nx6TwxazP2LJj53WnvZQsWZLBgwdn672zq0LlKoT9vJ7Hq6bj5uLCj0fOUeHuKk6tSW4N6tlmQXJy\nMnv27MHDw4MDBw4QExND8+bNKVOmzGVtk5KSaHh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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -353,26 +469,45 @@ } ], "source": [ - "X = iris_data['data']\n", - "rca = metric_learn.RCA_Supervised(num_chunks=30, chunk_size=2)\n", - "rca.fit(X, Y)\n", - "X = rca.transform()\n", + "plot(X_lfda, Y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Relative Components Analysis\n", "\n", - "plot(X, Y)" + "RCA is another one of the older algorithms.\n", + "It learns a full rank Mahalanobis distance metric based on a weighted sum of in-class covariance matrices. It applies a global linear transformation to assign large weights to relevant dimensions and low weights to irrelevant dimensions. Those relevant dimensions are estimated using “chunklets”, subsets of points that are known to belong to the same class.\n", + "\n", + "Link to paper: [RCA](https://www.aaai.org/Papers/ICML/2003/ICML03-005.pdf)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "rca = metric_learn.RCA_Supervised(num_chunks=30, chunk_size=2)\n", + "X_rca = rca.fit_transform(X, Y)" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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/J+C2Hx06dMh2W+bm5phbWLLPeymqqhL44C6XTvvQo0ePXEwshBAiKwrUMPLR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\nKbZCiEJXp04djien8eu5a4T7l2PtqSRSsnOpWrWq3tFKnS+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Dh7Nw0WIsbWwoVrosD65d5uCB/VSsWNHgGYXIy140spVTf0SOpFfVfxQIE1NT9CmG2VEq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\nAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -380,11 +515,7 @@ } ], "source": [ - "X = iris_data['data']\n", - "rca = metric_learn.RCA_Supervised(num_chunks=30, chunk_size=2)\n", - "X = rca.fit_transform(X, Y)\n", - "\n", - "plot(X, Y)" + "plot(X_rca, Y)" ] } ], From 80aa89ed17af845a7d7fcc15fc795e7b3889b718 Mon Sep 17 00:00:00 2001 From: Bhargav Srinivasa Date: Mon, 7 Nov 2016 16:19:41 +0100 Subject: [PATCH 4/4] Added manual constraints --- examples/metric_plotting.ipynb | 223 ++++++++++++++++++++++++++++----- 1 file changed, 194 insertions(+), 29 deletions(-) diff --git a/examples/metric_plotting.ipynb b/examples/metric_plotting.ipynb index 14767a51..f8661181 100644 --- a/examples/metric_plotting.ipynb +++ b/examples/metric_plotting.ipynb @@ -24,7 +24,7 @@ "cell_type": "code", "execution_count": 1, "metadata": { - "collapsed": true + "collapsed": false }, "outputs": [], "source": [ @@ -98,7 +98,7 @@ "data": { "image/png": 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i55ZzmPvZMgwePPiRc/vss8+w8Yv3Mau1A4yNBGxPyMEVMy/sjT1c4+1mhvfI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\nS5cu1fDjjtOAo47SlClTgo4DoAmibJuo2bNna8i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V1q35EXd3d53EMG3qFIzGT2D5+PewsbFm9coV1K1b943rCwwMZNy48Uxav5tC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\ncXUo7jJvHuTOz6tjH+ieSxctpFt112vbCA6O8GD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BwYIFzR1HiD/Jle1LqEuXLsyYNpXzOzZy48gO1qzyx8/Pz9yxMuXEiRNUrO1H/qIlAGjc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\n/16rBZ4GllprBxlj6gPLLiKGofAqetd/HSy8p5x72iEPv/4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uLo7KFcrRvrg5Nbxt2X03kRALT06eOY+Z2X9//96wYQNvDHgNawszVDNz1v2+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\nEQmJeHh4GC2DlZUVp85fJMzCg+knHnM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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -303,10 +303,19 @@ "metadata": { "collapsed": false }, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/bhargavvader/Open_Source/metric-learn/venv/lib/python2.7/site-packages/sklearn/covariance/graph_lasso_.py:252: ConvergenceWarning: graph_lasso: did not converge after 100 iteration: dual gap: 2.377e-04\n", + " ConvergenceWarning)\n" + ] + } + ], "source": [ - "sdml = metric_learn.SDML_Supervised(num_constraints=200, seed = np.random.RandomState(1234))\n", - "X_sdml = sdml.fit_transform(X, Y)" + "sdml = metric_learn.SDML_Supervised(num_constraints=200)\n", + "X_sdml = sdml.fit_transform(X, Y, random_state = np.random.RandomState(1234))" ] }, { @@ -318,9 +327,9 @@ "outputs": [ { "data": { - "image/png": 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om78rkq5eNXNWppOTkwONTocIdxUAQGWlRGN3FU6fPq13m6SrKWjmZQ+gfKGD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\nWxEREY8pbEVERDz2f5aaO8N7iiuiAAAAAElFTkSuQmCC\n", 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aDTVq1MDCwsLQKQkhRIEkxVYIIYTIY3LqjxBCCGEgUmyFEEKIPCbFVgghhMhj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\nDz/EwiL7WdNC5KXs3tlKsRVCZCs0NJQ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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -339,16 +348,12 @@ "\n", "LSML is a simple, yet effective, algorithm that learns a Mahalanobis metric from a given set of relative comparisons. This is done by formulating and minimizing a convex loss function that corresponds to the sum of squared hinge loss of violated constraints. \n", "\n", - "Link to paper: [LSML](http://web.cs.ucla.edu/~weiwang/paper/ICDM12.pdf)\n", - "\n", - "[TODO: add manual constraints)\n", - "For this particular case, we are going to use our own set of constraints.\n", - "Normally, the constrains are randomly created, with the constraint classes built into metric-learn." + "Link to paper: [LSML](http://web.cs.ucla.edu/~weiwang/paper/ICDM12.pdf)" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 11, "metadata": { "collapsed": false }, @@ -360,16 +365,16 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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NmvPpZ+OyJb+7d+9SwbshACYmJpSr1YA7/nez5dhCCPFvUmxFGrt37yafmzuWVtbkc8/P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\n8owxG4DXgHuLj00DXjDGrOfSP7NTgSrFE642Ac+WcJ4FYFn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Zcty+fTvTuLcqV2HTjt24VKzJroNHKVe+IlqtNkNMSkoK3Xv0YNTXC/l02Vamr9rNl1/N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\nLwRjDC4DbWsHsnVLmtOxRM6q4nxyRGwQEBCgoi2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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -395,7 +400,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 13, "metadata": { "collapsed": false }, @@ -407,7 +412,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 14, "metadata": { "collapsed": false }, @@ -416,7 +421,7 @@ "data": { "image/png": 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ckV9oZCsipUZQUBBvvP0Ox7NOcOsTz/JzQBUaValAZFAAAA1iIgj2ejl+/LjL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\ngOPHj3PpkIEs/mkJGMMD99/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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -440,7 +445,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 15, "metadata": { "collapsed": false }, @@ -452,7 +457,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 16, "metadata": { "collapsed": false }, @@ -461,7 +466,7 @@ "data": { "image/png": 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TgOtRV+g2qA8vvfRSWUcXolL4cuEXvDxzJqgqDevX48etv7Jm8xa+nP8JOp2O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\nfzoLY6BLp068Nf76G8VHR0cT6ON68RZ9kI87CYmJpKenazO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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -486,7 +491,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 17, "metadata": { "collapsed": false }, @@ -498,16 +503,16 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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Dh7Nw0WIsbWwoVrosD65d5uCB/VSsWNHgGYXIy140spVTf0SOpFfVfxQIE1NT9CmG2VEq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\nAAAASUVORK5CYII=\n", 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l0qRJBRVdE6u++45Ppk7jpVbt+SvgEs0aN2Tj+h8eK7j79+9n8JBXadSuC+H3gjBTsjly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\n77//ztBBA5gXWI+q9pZMXLOKZ1t63BoV2qKGA3EHruqcsmy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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -517,6 +522,166 @@ "source": [ "plot(X_rca, Y)" ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Manual Constraints\n", + "\n", + "Some of the algorithms we've mentioned have alternate ways to pass constraints.\n", + "So far we've been passing them as just class labels - and letting the internals of metric-learn deal with creating our constrints.\n", + "\n", + "We'll be looking at one other way to do this - which is to pass a Matrix X such that - (a,b,c,d) indices into X, such that $d(X[a],X[b]) < d(X[c],X[d])$. \n", + "\n", + "This kind of input is possible for ITML and LSML.\n", + "\n", + "We're going to create these constraints through the labels we have, i.e $Y$.\n", + "\n", + "This is done internally through metric learn anyway (do check out the `constraints` class!) - but we'll try our own version of this. I'm going to go ahead and assume that two points labelled the same will be closer than two points in different labels.\n", + "\n", + "Do keep in mind that we are doing this method because we know the labels - we can actually create the constraints any way we want to depending on the data!" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def create_constraints(labels):\n", + " import itertools\n", + " import random\n", + " \n", + " # aggregate indices of same class\n", + " zeros = np.where(Y==0)[0]\n", + " ones = np.where(Y==1)[0]\n", + " twos = np.where(Y==2)[0]\n", + " # make permutations of all those points in the same class\n", + " zeros_ = list(itertools.combinations(zeros, 2))\n", + " ones_ = list(itertools.combinations(ones, 2))\n", + " twos_ = list(itertools.combinations(twos, 2))\n", + " # put them together!\n", + " sim = np.array(zeros_ + ones_ + twos_)\n", + " \n", + " # similarily, put together indices in different classes\n", + " dis = []\n", + " for zero in zeros:\n", + " for one in ones:\n", + " dis.append((zero, one))\n", + " for two in twos:\n", + " dis.append((zero, two))\n", + " for one in ones:\n", + " for two in twos:\n", + " dis.append((one, two))\n", + " \n", + " # pick up just enough dissimilar examples as we have similar examples\n", + " dis = np.array(random.sample(dis, len(sim)))\n", + " \n", + " # return a four-tuple of arrays with d(X[a],X[b])" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(X_itml, Y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And that's the result of ITML after being trained on our manual constraints! A bit different from our old result but not too different. We can also notice that it might be better to rely on the randomised algorithms under the hood to make our constraints if we are not very sure how we want our transformed space to be.\n", + "\n", + "RCA and SDML also have their own specific ways of taking in inputs - it's worth one's while to poke around in the constraints.py file to see how exactly this is going on.\n", + "\n", + "This brings us to the end of this tutorial!\n", + "Have fun Metric Learning :)" + ] } ], "metadata": {