diff --git a/Cross-validation.ipynb b/Cross-validation.ipynb index 36f8d09..9ae11b0 100644 --- a/Cross-validation.ipynb +++ b/Cross-validation.ipynb @@ -12,15 +12,7 @@ "level": 2, "metadata": {}, "source": [ - "Cross-validation - " - ] - }, - { - "cell_type": "heading", - "level": 3, - "metadata": {}, - "source": [ - "Lance Martin" + "Cross-validation" ] }, { diff --git a/Dimension Reduction.ipynb b/Dimension Reduction.ipynb index cb52f20..6bf5cff 100644 --- a/Dimension Reduction.ipynb +++ b/Dimension Reduction.ipynb @@ -12,15 +12,7 @@ "level": 2, "metadata": {}, "source": [ - "Dimension Reduction - " - ] - }, - { - "cell_type": "heading", - "level": 3, - "metadata": {}, - "source": [ - "Lance Martin" + "Dimension Reduction" ] }, { @@ -126,21 +118,31 @@ "jpeg": "/9j/4AAQSkZJRgABAQEAlgCWAAD/4gJASUNDX1BST0ZJTEUAAQEAAAIwQURCRQIQAABtbnRyUkdC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\nUAFABQAUAFABQAUAFABQAUAFAH//2Q==\n", "metadata": {}, "output_type": "pyout", - "prompt_number": 2, + "prompt_number": 1, "text": [ - "" + "" ] } ], - "prompt_number": 2 + "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ + "Data:\n", + "\n", + "* Population size (pop) in tens of thousands of people.\n", + "* Ad spending for a particular company (ad) in thousands of dollars, for 100 cities.\n", + "\n", + "The green solid line represents the first principal component direction of the data:\n", + "\n", + "* This is the direction along which there is the greatest variability in the data. \n", + "* Projecting a point onto a line simply involves finding the location on the line which is closest to the point.\n", + "\n", "Each point is transformed using a linear combination, with the first PC shown below:\n", "\n", - "$$ Z_1 = \\phi_{1} x_{pop} + \\phi_{2} x_{ad} $$\n", + "$$ Z_1 = \\phi_{1} x_{pop - \\mu(pop)} + \\phi_{2} x_{ad - \\mu(ad)} $$\n", "\n", "The coefficients are chosen such that the variance of the resulting data, $Z_1$, is maximized." ] @@ -225,6 +227,15 @@ "Implementation - " ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ok, here's the easy way to think about this.\n", + "\n", + "We start with some data." + ] + }, { "cell_type": "code", "collapsed": false, @@ -248,21 +259,21 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 50, + "prompt_number": 3, "text": [ - "" + "" ] }, { "metadata": {}, "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAaYAAAGpCAYAAADGJ5LWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n", + "png": "iVBORw0KGgoAAAANSUhEUgAAAaYAAAGpCAYAAADGJ5LWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nWrRo0WKr8P8DEfN0pvsBkogAAAAASUVORK5CYII=\n", "text": [ - "" + "" ] } ], - "prompt_number": 50 + "prompt_number": 3 }, { "cell_type": "markdown", @@ -272,7 +283,9 @@ "\n", "$$ Cov(a,b) = \\frac{1}{n-1} \\sum\\limits_{i=1}^{n} (a_i - \\mu_a) (b_i - \\mu_b) $$\n", "\n", - "The off-diagonal in the covariance matrix indicates this relationship, with greater values obviously pushing the data into a line.\n" + "The off-diagonal of the covariance matrix indicates this relationship.\n", + "\n", + "Larger values compress the data into a line." ] }, { @@ -289,27 +302,27 @@ "output_type": "stream", "stream": "stdout", "text": [ - "[[ 0.97745311 0.83606246]\n", - " [ 0.83606246 0.98934952]]\n" + "[[ 0.98782844 0.84258793]\n", + " [ 0.84258793 0.99933059]]\n" ] } ], - "prompt_number": 51 + "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ - "We can find new axes (eigenvectors) in which the covariance matrix $C$ is diagonal.\n", - "\n", "The eigenvectors (principal components) are:\n", "\n", "* Orthogonal directions of greatest and least variation.\n", "* Linear combinations of the original axes.\n", "\n", - "The eigenvalues are equal to the variances of the data along the eigenvectors.\n", + "The eigenvalues:\n", + "\n", + "* Equal to the variances of the data along the eigenvectors.\n", "\n", - "We can easily perform eigendecomposition on the covariance matrix." + "They can be computed by eigendecomposition on the covariance matrix." ] }, { @@ -317,18 +330,34 @@ "collapsed": false, "input": [ "from numpy import linalg as LA\n", - "w,v=LA.eig(np.cov(X.T)) # We can also find the eigenvalues and eigenvectors of the covariance matrix" + "w,v=LA.eig(np.cov(X.T))\n", + "print 'The eigenvalues are %.2f and %.2f' % (w[0],w[1]) #eigenvalues" ], "language": "python", "metadata": {}, - "outputs": [], - "prompt_number": 52 + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The eigenvalues are 0.15 and 1.84\n" + ] + } + ], + "prompt_number": 47 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The eigenvectors." + ] }, { "cell_type": "code", "collapsed": false, "input": [ - "print 'The eigenvalues are %.2f and %.2f' % (w[0],w[1]) #eigenvalues" + "print v" ], "language": "python", "metadata": {}, @@ -337,19 +366,27 @@ "output_type": "stream", "stream": "stdout", "text": [ - "The eigenvalues are 0.15 and 1.82\n" + "[[-0.7095158 -0.70468953]\n", + " [ 0.70468953 -0.7095158 ]]\n" ] } ], - "prompt_number": 53 + "prompt_number": 31 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can overlay the eigenvectors on our data, showing the direction of greatest variance (yellow)." + ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.subplot(111,aspect='equal')\n", - "ah=0.1 # size of arrow head\n", - "f=1.1 # axes range\n", + "ah=0.1 \n", + "f=1.1\n", "plt.arrow(0,0,v[0,0],v[1,0],color='r',linewidth=2,head_width=ah,head_length=ah)\n", "plt.arrow(0,0,v[0,1],v[1,1],color='y',linewidth=2,head_width=ah,head_length=ah)\n", "plt.scatter(X[:,0], X[:,1])" @@ -360,37 +397,45 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 54, + "prompt_number": 7, "text": [ - "" + "" ] }, { "metadata": {}, "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAQEAAAD+CAYAAAA6X7CFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsnXd4VGXaxn+T3oGEJPRQQu8gRVCKICIgggKKIthRV1FR\n+RR0bWBDXRRXKSosIiIiCNIVBKRD6B1C6GmkkZ5JZr4/7nMyA66uSg0593Vxwcxp7wzz3E9/XpvT\n6XRiwYKFUguPK70ACxYsXFlYJGDBQimHRQIWLJRyWCRgwUIph0UCFiyUclgkYMFCKYfX5XxYcnLm\nJbt3uXIBpKXlXLL7X2yUtPVCyVtzSVsvXLo1h4cH/+6xa8YS8PLyvNJL+EsoaeuFkrfmkrZeuDJr\nvmZIwIIFC38PFglYsFDKYZGABQulHBYJWLBQymGRgAULpRwWCViwUMphkYAFC6UcFglYsFDKYZGA\nBQulHBYJWLBQymGRgAULpRwWCViwUMphkYAFC6UcFglYsFDKYZGABQulHBYJWLBQynFRSKCoqIg+\nffrw2GOPXYzbWbBg4TLiopDAtGnTqFWr1sW4lQULFi4zLpgEEhISWLVqFf37978Y67FgwcJlxgWT\nwFtvvcWIESPw8LDCCxYslERc0LThX375hbCwMBo0aMDGjRv/5/nlygVc0kGKfzRR9WpESVsvlLw1\nX871OhwOsrOzCQ6+sGde7u/YdiG7En/44YfMmzcPT09PCgoKyMrKolu3brz33nv/9fxLOXI8PDz4\nkt7/YqOkrRdK3pov53oXLdrK6NEJpKSUp0mTo0ya1I1y5cr+13OnT1/D559nYbd70rNnPiNH9rrk\na/4jYrkgEnDHpk2b+PLLL5kwYcLvnmORgAslbb1Q8tZ8udbrdDq58cZFHDx4t/kOQ4bMYOzY3r85\n99Cho/TqlUlaWjsAvL1P8/HHO7nzzvaXdM2lYt8BCxauFPLy8khNddf6NtLT/f7rubt2HSUtrWnx\na7u9EocPX1livWgk0Lp16z+0AixYuFbh7+9P06anAAcAPj4naNPG+7+e265dA6pWXV38OiRkN23a\nVLocy/xdXNZtyCxYuFYxadKtvPXWTFJTfWnb1ocHHuj8X8+rUCGCjz5KZsKEWdjtHvTtG0inTjdc\n5tWei4sWE/gzsGICLpS09ULJW3NJWy9YMQELFixcAVgkYMFCKYcVE7Bg4U9ix45DLFwYS2ioBw8/\nfBNeXteG+Fwbn8KChQtEfn4+H320nJQUTzp3Lk/37i3POb5+/T6GDs0mIaE/kMOmTdP54ou7sdls\nV2bBFxGWO2DBAvDoo3N4//2+TJnSjyefDGXevHPL4GfPPkZCghnxD2D58qYkJSVe/oVeAlgkYKHU\n4+zZDNavjwZ8jNdNWLo045xzvL0LAVcizc8vE19f38u4yksHiwQslHr4+fkTFHTW7R0n/v7555wz\nbFhrGjeeDqTi77+TBx5IpWzZcpd1nZcKVkzAQqlGbm4u6elpDB3q4I03fsRujwbWkpKSjdPpLPb5\nK1WKYN68rqxbt4VKlcJo1OjWK7vwiwiLBCyUWsyfv5k338wgMbEK5csfx26/CRnHg1m8OIXlyzfR\ntWub4vODgoLo1u36K7beSwWLBCyUSjidTt5/P4ljx9T5d/LkdcB3wADjeBBZWXkX/IxPP/2Z9eud\nBAfnMnJkG6pWrXCBK7/4sEjAQqmEw+EgIyPA7R0bQUHJZGU5AQdt2syke/c+v7nO6XRSWFiIt/d/\nbxByx5dfrmTMmDYUFlYG4PjxqSxYcMdVl1a0SMBCqUJGRjpxcSeJjo6iVatk5s8vAHzw9T3KU0+V\npbDwO7y94ZFHbsPP79x24MWLt/L226dJTQ2hefN4JkzoRWBg4O8+a9s2ezEBAOzbV4czZ84QHh5+\niT7d34NFAhZKDZYt28ZLL2Vw4kQjatXayHvv1aNGjTkkJXnRpk0g99zz2yEgJgoLC3njjURiYwcC\nsHRpIe+8M4s337ztd6+JjCwARDJ6fYqyZetdzI90UWCRgIVrDqmpKezYcZiOHZvg4eEPyIx/6aVf\nOXGiMbCd2NhefPrp93zzTU8AzpxJ5f7753DsWAhRUZm8+24HIiPDiu+ZlZVJfHyY21O8OHPmj+sE\nRoy4mePHpxMTE0rZsnm89FKVP+VGXG5YJGDhmsKqVbsYPjyNEydaUbnyTsaM8aJHj5Z8+OFSTpx4\nGIgE8oBZ5OS4YgIvvriKRYsGAzb27HFis33FlCl9i4/v2HGS/Py9wE2ADThO06Z/3IXv6+vL5Mn9\nz0k1Xo2wioUsXFMYP/4EJ070BCI4daorL7+8ji5dfuLTT9MQAQD4AX7cdJOj+LqTJ4OQcOcD81mx\n4hS//LKt+Pjq1acoKroHmA3MBzZRr96fKxa6mgkALBKwcI0hP9/duF3HqVMD2LXrDjIzzxXYqKhU\nnn66W/Hr6tXPAkXADOBWcnNfYtCgIlas2A5AZKQnIombgNsICalE9epXX7rv78AiAQvXFG65xYav\n71EAPDyO4HRGG0faAl/h47OKypWn8uyzoedcN2ZMJ4KCngXqYAby7PbOvP76GpKSkoiOjiAwcDLw\nLfAVoaErCQoKuiyf6VLDGi92hVDS1gslZ81z565n584M/PzO8tFHrSksbAyAn998KlfeQ2zs/QQE\nnKZVq59JTo7G09OJj89hYmIeBLYDpoXgBP6Fl5cHNpsXdnt5wDVWvHfvKXz++cXdfu9KjBezAoMW\nrjn07Xs9ffvCwoUbKSyMBY4AdvLyNhMb+y4AOTkVWbUqEbgRCMbD41sgArkE64DKyDUoorCwHZB1\n3lNsxMQUXaZPdGlhkYCFEoG5c9cSG5tJhw5RtG5d/7+e43A4+PTT5Rw8mE9YWAYhIQHAIODfwFkk\n2HuBBkA8EAdkA4E4HKZBfCtwFHgZGA+UNa6ZCjRGY8U9gDxCQpIvxUe97LBIwMJVg6+//pVFi3Lx\n9bXz9NN1aNq0NgCjRy/gs886YLdXZvLkLYwdu5Hevdv85vqRI+fz5Ze9gTLAaXx9v8XDYzgOxwPo\np74Z2ATUAJYC/zCujEdCPhmoCKwE7kIEACKNJsAB4BXAGw+PECIjg0lKSiEiwr1+oOTBIgELVxzf\nf7+Rd9/dybFj3XA6GwGwf/8cli6NJCgomB9/9MNuV/ltWtp1fPHFf1i1ajE2m5NHHmlA3brVAVi7\nNgg4DewBmpOfbwdGIjMfoBrwDfApnp4tKCq25isC5YFgoBNQiGoJ3LEXqA6cBB7E4ajGypVOhgyZ\nyKJF91z1acA/gkUCFq4o4uMTeOUVD86ciQYaFb9/+PD17Nx5gPbtW+Lhca7vvX17FuvXDwEcLFgw\nlrZtq1KvnidpaQeMMwqADcisd9fSQUAi/v755OcfAjq7nQ/QwjgnD6iErIUoYBbQEbgF1QhUM863\nsXVrND/9tJFu3dpe8HdxpWCRgIUrij17jnLmTHMgBkhDfvpxfHySSErS9lxdu6Zz5MhmnM5mwHJy\nc+OBucB+UlOfYNGiMixaFIui+eWQNgcJ7GjgnyjH/zk2Wwa5uc2QiT8L8MLbew2RkdEkJu7Abq+D\nhH0yUAFYiyyD5sY9C4zXEh2nM52vvy6km6vkoMTBqhOwcEXRokUdoqLWo7Tc18AZoA8FBY/y7LNe\n9Oo1gxUrknA6vYCfkeneEugLNET+v4k0pLFN9EaWwMtoVoA3TucwoB6QidyE2+jfvx0xMYOoVm07\n8CqqBTgDVAUeRgK/ybhnD2AC8D0ikRoUFnqRkZHOtm17WL58I3l5FzaH4HLDsgQsXFGEhoby0UcR\n/Pvf3xEbm86RIy6VmpNzC5s2/Qg8hATuHmABEm4412+vAexDLkAN470jKOgXBuwG6gI/Ib/ehnz8\nHSxcuJWYmExiY28AUoF2QAD+/m8SERFFQoKd/PzdwHHAG4jDy6sXhYXVCQ7exP79sTRocAy7vTsQ\nzXXXzeObb26hTBl3grp6YRULXSGUtPXCpV/z8uVbeOCB6uTlmUJ8EGnwIBS088XTMxibrYZRABQH\n/Ag0BRKA+qi2vzbqD9gIjEIuQh5yIcohsnjYuCfI9B8MmF2Bs4AB+PiMpqBgFDAHuAMRB5Qr9zVd\nusTh4xPI7t1Odu7sA2TgchkcPP30LEaN6vmXvwOrWMhCqUaXLtfx1FNL+OqrDSQkOJHwjwIWAa2A\nYG6++QP271/O8eP+QDmaNElg+/bjyDpIRIE8L0QGzZHQg0ihENiJe4+/0BRIQuY/gD/goLCwAFgI\n5AAfAb3x91+HwxHM7NkjCQg4QFDQj8ZxdyHzoKDA82J+NZcUVkzAwlWFF17oTteuqUAAKszJRX7+\nDuAsP//sz9GjI3E4/onDEc727fXx9MxALkA9JMCeKPKfigTfxDHjntcjC8LcYGQjrtjCQmSBfIxM\n/4bIDakArMDP7xQZGbcDHuTk1CcnJxIRz2rMLEO1agsZMKDORf5mLh0sS8DCRYPD4eC11xawZYs/\nZcvm8fLLjWjQoMb/vtANEyf+wPffRwB9ADvwATLTfYD5bm7AIaTpN1NU1Mw4LxoVAJk5+y+B91Dz\nUBwq/W2LXIMiYCuwyng9CVkL7QGZ8R4e3+BwBCHC6AUEkZb2wznrLVcumIcfXsCRIwFkZLxH8+Z1\nuOOO+tSrV/0vfe4rCYsELFw0jBu3jAkTemFq1TNnprF0afX/WkiTmZnJt9+uxd/fi7vu6sSsWeuZ\nOnUP27c7gRHGWd5AP+ATVP77GNLUlYA2qBAoElkLtRFpuD8rGLkDrVEc4G6gmXEsGZgIhCKDuLZx\nbfPiqwsLexIQ8B05OeHINQGVHv8CdMbH5wR9++YzcmSvv/N1XTWwSMDCRcPBgx64p+zi4qLIyEgv\n3qknPT2NX36J4ccfD7F2rSdpaW2Aprz11nOcOdMOp7MGiuhLyJT3/xEF8QKBKSiHvwVZAk8ioQT4\nD4re/4BM/s7IhfA17nMamfYmwoEURBJNUHpxI3AdIhkIDd3JsGE+TJ68i1OnbkWk1AoYB6TQoMFO\nRo587mJ8dVcUF0wC8fHxjBgxgtTUVGw2GwMGDGDw4MEXY20WShhq1ChEQTKN7apW7SQhIdK8mzfv\n5+GH44iP74xL+4YA40lO/hcwD+iK6vVjgZlIePuiVB5oT4APjesBurg9/QZgOXIjnMDTKGI/AJn3\nN6AA4+3G+cvQz/8WZEEkotLh9YCNSpXS6dQpm0WLQqlcuQYVK47jyJEKpKb6oFqBOmzf3oYNG7bT\nrl2LC/3qrigumAS8vLwYOXIk9evXJzs7mzvuuIP27dtTq1ati7E+CyUEZ8+exd/fQcuWH3LokC9Z\nWXZiY7155ZVvGDPmXsaPjyU+3uzF74iKbW5E/fs+yHQ3G3ZqAYtR6a9ZExCHCnbuQAG+H4BfkTYH\n1Qc8aPz7B+BxRB4LUF1AFRQ4fBORyFHgdUzCUi3Bh3h5pdCu3RluuKEq77xTBocjAjhNSEhbevTY\nwsyZz+ByORx4eJT82PoFk0B4eHjxHPXAwEBq1apFUlKSRQKlCJmZmQwYsIytW4cgTXoAeJCcHJg8\neRWbN39Oaqr/eVd5o8h9AqrRP3+bbx9UmTcTCXcM6uwDme9HjWvNoR5zUWHQt8hFMNuN+6M8fxUU\nGMxA8YVdKJNgohyQTWHhI+zevZht27bjcLxgrNPB2bNz2Lz5BHI77gMyqVv3P1SseBclHRc1JnDy\n5En27dtHkyZNLuZtLVylWLVqF7/8cpojRw6wdesLKMr+K/CE21kd2b79LErbbUeBuSTk078DDEX+\n+Ww0xKMVsMK4djuKBUzk3FQfKJLfz+11H+BRVFdw8rxz4xChRCBrowayAOYAdyL3YRxyCz4mNTUS\nzRWYjaoHo/DwyCI29i5UdfgK0J4DB15m4MC5TJ/uoGbNKn/6e7vacNFIIDs7m2HDhjFq1Kg/3JXF\nwrWBRYu28MwzwaSn90ODOaYjgWkBHDb+BuXqPZF1kIuCbzuQsEYiwb8Dmf3PIk09BAnpV8iXr4H8\n+ROooCcLDQk5iavA5zQK6Jk5+yYo5jDPONdp/MlHswPKoiDgx8gKeAAVBFXGRS7NERFAkyZ72L79\nXmA/KmOWpXv48J189dW3vPpqKScBu93OsGHD6N27N127dv3d88qVC8DL69JVUv1RaeTViKt9vU6n\nk4yMDEJCQop9X3PNy5Zlkp5utuIG4u0djt1ehBpvnMgv90QCWRul90zz+xgS2srAvUjAATogzeyF\nIvynkdm+D0X73zOuSUMCvh7FDQKQFdINCekgFPjbCtyGrI7nkC+fisaH3QS8ZTzPTAtW4XyRKFcu\niTfeOMADD7xGx44TiYnxRsRU/C0RHOxzUf8vL/fv4oJJwOl0MmrUKGrVqsX999//h+empeVc6ON+\nFyWtFv9qX29c3CmefHIDBw9GUblyPG+/XZvevVu5rTn7nPMjI+0MGxbDqFFO7PZMpPWPERgI+fmx\nFBa6+9/hSDBBhLET+ftFyEpohgKHQ5HGTgP+heoCzB18VqBJQaEo4m+WAT+CioaqAQNR1+EpXMG8\nUEQwAcax2sb7m4B05GaYGY5jOBy5dO9enw0bDpKSUhnoic02AaezHJBASMgqVq+uyAcfLGDwYPcO\nxr+HEtk7EBMTw/z586lbty59+mgX1+HDh9OhQ4cLvbWFK4jRo2PYvPl+ADIyYMyYGfTu3Qqn08m0\naauAfKpWfZcTJwZRpswRHnvMmyFD+rB06TcsXx6MNG1lsrO3AmOBt1GePg/5+s8g03wi0vLRaHrP\nctTp554tMOv/3bfwqm6cn2Gc3xzVFAwD1qDMQyEKOKa6XVdoPBeUWRiFrIpUoCaKH7yNrII6ZGT0\n5YMP5rN8eQ5Hj3YGfHA6nyIk5A28veuTkvIs69bBjh37qVBhK926lbx04QWTwHXXXcf+/fsvxlos\nXEVITz83mp+aqlTaq6/+yKRJt+BwlMff/yCPPPIDjz/ehSpVVA/w5Zd9adjwR7KyzCKeFsg/fwJX\nIVEWIoabUA5/JXIjDqEa/e4otWfCjjIBK4xrnIgsHjWOj0EWxE1oGGgDZP4PRlp/PdLunsgqaAJ8\nigS/GSKgisbfoKKkQYA3QUGjmTBhGCKK3SjweSM2WzApKS7XNzu7Hps27S6Rw0WsikEL/xUtWuTx\n66+pyHzOp3nzNACWLw/A4SgPQG5uHQ4d2kW5cmV59tm5HDsWRPnyyWRn5553N3/OHf7RCPn6O1GV\nX2Xj71yUfrOhGv+pSKB/QvGA/Wha0FrgRVwuQB1k+s9Fmv5DVANgPrMKqg+IRsHIo6jsuDIKSP6I\nLAfBZmtB06aTKVu2HLt2NSArK8Rt3fPx8EiiWzdPVqzYRUqKXAAvrwSio89Pg5YMWCRg4TcoLCxk\n376zSPigevXdjB37JAB+fgXnnOvpmccLLyxl9uxBSNMWIRN7BRLkJSgzkIxiAXtQYK4Z0ujXo37+\nJogITN+9ASKFU4iI/IxrmiGt7k4qdmQ55KCMQs3zjoejn7p7oc8ElG241VhHnvEMqFjxOHPm9CEw\nMIjWrReSkuJ2K2Jp3XoPn3zyD777bgMTJswiP9+bbt1yueuuktlDYJGAhd9g1qyVLFt2H8rRw9Gj\ntzFnzhKeffYOoqJOsGvXMmR2/8qhQxvx9W2ICADj7+a4tHI60u5LURPOKSSMIMFbjIqBPFC6bzZK\n0RWgycBtEYG45vrJp/8QdfzFIw2dBXyOCKga0u63Ged/iYjBJIAYY53NjPNHAP/BwyOYWrU8eOqp\nsvzyy3YCA3145BFfXnnlZ5zO+igTcTsNG240SuSvZ8CAv/89Xy2wSMDCb5CbW4SpFQU/cnKKmDdv\nM6tWhaA6gBlAc44fH4M0+wgUUW+EzHVv5OenI9N/JQr29T3nvkoDNkMBvg4oKDffOP5P4F0kqB+i\n3HwhEmY7iiF0QWb9LhRPSEOmfgbadKQIpRjLGf8uQu7AI8YzbiUk5HH69KnL6NF3UFhYyD33LGDD\nhruw2TK5884lPPNMOpMmHSU7uw3XXbea554zU6PXBiwSsPAb9O9/PTNnTmPHjvsBaNp0GuXLB3HH\nHftwOPqhHPwUZEZPQ006h1AgLgQF6BahKr6xyGe/HcUAdiETHEQQZ1CQri/y+VujfH8mitQ7Ebm8\ngNyTtchyiDKOjUc1CGuQ1bAYZQSqoOAeyB2JR0SSj2vUOEAQZ892JjGxCD8/P8aNW8yGDQ8Cnjid\nIcyZczOzZx/hwQcrk5iYSr16t+Hj4z6VqOTDIgELv0FISAizZnXlyy9nYbPZuPPOVrRrNxOH424k\nbHchbWxDPforkXltBtBCjX/7I9M8AVUF3o3y/bNwjftqgXz5fca18ajy7whyOerhchGuR23EUca5\nNjQabIxxXjlEAHtwbRwKKvXdhYhkIqovaG8cOwXEsnJlWdLS0rHbbbgP3HI4AsnJKSAysgKRkdfG\nVuTno+S3QFm4JChXrizPPdeD4cNvZenSrdjtzZEW9kCmuIkcZF6fnxEwJwHbUGzBbP+tj8z13shn\nT0OE4Ilaec3R4r1RufBgVPb7IiIP//Oen2ycNxC5KelI6De6nbMHBQdBKcPyqDFpPqpZeJn8/Ia0\nbz8VL69C6tadhawMO61bz6BDh+Zcy7AsgVKK1NQ03n13DZmZvnTuHEzPnk15++0VpKT4EB6eRlxc\nMAUFnvTpE8TWrcmo7z4bRf3HAE8h0/oNlNevhyLzNVDgrQyqy6+CtPwXSFN3RpV/LY3XpnY/iAji\n/4xz3WFDFsMARDYzcLUAV0WkASKSlijnfxAVAxUB24w1b0YEUgbNBDCDmXbAyZkzIXz0UTCffOLB\nl1++TUyMLzt2tOPBB+cSFeXDrl0hhIbm8sorzald2+xZKPmwSKAUwuFwMGTIEjZufASwMW/eLl58\n8X0yM99BgnEUCVE3Nm/eTYUKu5Amz0I+fFMkqI1RMO4Mig0cBV5C/v0XwGvGfcLQrkBOFCNIQX56\nKirkqYHiB0dRJP8MShdWQ+Z9Nq6tv/xRg9HHKAi5H2n+nagEuAvqW8g0jnmjGoD5QFk8PHbidGbg\ndB5Bk4lA5KXNRnJy9rJ+vRfbtt1Ebq62Fvv555bGPe8AICVlGgsXWiRgoQTj1KmTbNrUFDNlZrc3\nxm6PxKUZqyOhWklm5lkyMw8iQWmOBM8f+dcjkRne0DjeGXX2fYVrZt9OXD3/NpQuzEEpwGCkuQca\nx1ujHYCciEwaGufVRDl9M024FxX+tMJlWWxGVokNkdA+tKNRdWNNkSiL8QRPPbWLoCA4fPgDfvjh\nOAUFESi74Qc4+fXX98nOruT2jfngni05ciSS3Nxc/P1LZnHQ+bBIoBTi2LF4nM4st3cKkW9twon8\n6HtQEC4HVzCwGSrMyUPC2QT513fhMtGD0aYh8YgE3Bt84lHUvjzaHize7bkrkcnfEJnoXwP3G/eY\nDQxHLkigseaVKPPQCLkL4xE5FSALoyWyBm5CJNIbh6MBS5Yc4aefOtC9+6c4HHVRnOAUSkHayMqK\npmXLn4mJeQCw4e+/nNxcl+avWjUJPz/3FGrJhkUCpQgLF25i9+5UwsML8PSEoqK5yMw/jDTl98h0\n34QE2YzCB3DuFN9A1HsfhwJ7/rgIwImEKQ8V7NyBZg20xlU30Mc4txVqEkpAbkUqrs1EvVH+Pwul\nBp9FP9d/o2KjH437mE1F36Cg5QxjfXehKcWgmQLXGc+GpKQcevR4j337XkRkBCIybVxSpUoWU6Z0\nYdy4meTl+dCjRzjz5u1kx46jhIbm8uqrjUr0VuTnwyKBUoLx439i7Njm5OV1ISDgIK1bz2bLlu7Y\n7YFUqbIRH5/KxMUl4nQeRMK3G2lID2QlbEXathClCW/DNK917reo8CcPBebCUFDwDNLm5l4Bj+CC\nE2UBfjLutQaZ8qaAnTXefwRX+vE5VH3oy7ldhcHG/faiCUKLUUfhJuP9TmiOwWjS06uSnl4FFwEA\nVKN69SlUqeLPmDHNCAsL5c03XWXAnTtfuxkCiwRKCX78EWOPvzXk5KRy4oSNxYvtHD68l3XrKrJ3\nbzJHjsSj0VlBSGu+hPLtRUj45xv/rocEygvXbL86SPsWIM3/CJrH54dcgXDjnpNwjQ0/iTR6BNLU\n64H3gZuRdbLOeJ57W7onEupCFDA0p1gdMtaTjwjDnA6UhsvyiEIZCHMt7tcfxeksy7Bhlalfv/pf\n/HZLNiwSKCXw8ipEqbSawA2cPNmVTz/9igMHgtiz5z5kis/BtclGWePcTcgkb+12t+9RMU8y0shn\ncM0V9DGu+wYFEmORu+CDovofoYIhbxQEDELa+3XUNFQeEQAohfg86iZ8GFkl7yOt7oMmA0UjV2QA\nSv29h7IMZhCx6LxvwgORSgIKBjZBFk8Njh3rzrhx39KpU+M/8Y1eO7BIoJTg0UdD2bnzOAUFZg98\nAMuWBZCV1QMJ9Gxc8/1NhKLI/haUAuyOdgDaj7RxTRTAa2C8Ns34rciKMGvRPkT5/KUosJiPzHeT\ncBrgGi2WZDwvE6Ui/VHB0AeIqMqiyH87Y21lz1t3I+Sq/BOlMPcb67gdkY2p+bNQTGKIse7FwDFy\ncnwpbbBI4BrDV1/9yowZOTidMHCgH0OGqN+9T582zJ59jGXLXOdmZeUgwTiISnWbIN++GorIm5t7\nVEd5+S1II0cjM3sXErT2qP7/etS4Y8YSTISiyrwuSAgdKKXnThzpxt9haAeiMkhQk5ELYFoFnmiA\nSD5yQb5FQ0Ix1nwKxRaqGv+ORsTzNCKxnihTkIF6EMzn3wrM4EbXWIFSA4sEriFs2bKXN96oREaG\npvwcPryLOnV2cf31Mm9ffbUtmzZ9THr6zchkDkc5/TtQlV9v5KdnId++FkrTVUbC/jSuVN8WpJFP\nIQ3fFAnyJiTkdmTyO5HpbUObjpj59yjkGtyOGpLaGe/PxuUmzETNRGahklkp6I1iALcggc837huM\nSKQAWQj3oAxBFEoffoS6Etui+oIzuOYO5NGz53Feftl9XHrpgNU7cA1hy5ZjxQQAcPZsY554Yhlr\n1uwFoHYfofDkAAAgAElEQVTtaoSFOZA2rYSi+R2Q4IaiQRutkdAUIa1/C/LB6+IiAFBK7xAy/bug\nCbw3Ia1sR/GF+UhTRxrvuRfgNEFVg98jof4Qzf5PwOUmBODqOQhCfn5fRFZtUBXfeFwTgjqjOIQd\nWSVlkLWwxLhHAuCPzbbD+A6+BTbi4XGAbt3+w6RJj15Tqb8/C4sEriG0bl2DsmVj3N7ZwalT/Rg1\n6jBOpxOAGjXCkWDsQRF0B/LJU9FegCnIjz6CtLuZRquNtvEGafepqKjHhqL7JiKQRXA7EswuyOVo\niavGHySY1VFA8TAa//UMSi+ayONcFOH6yd5gPDuAczcmOWX8qYayFqGIFH5ApDCM9u0DePTRlTz3\nXBWWL3ewYkUm06bdjbe3e8qx9MByB64htGhRjzffXMdrr00mJSUcmcSdSEyMJzs7m6CgIB57rAa7\ndi0kMTEUVdwNcrvDOCSE3ZFbcBvS1Hei1NoqlO/fjfxsf2RNzMRV+rsAVfY9h9wND2QJHDCu+Rb1\nBSQZ9/wRWRXm5h3XA58Z64hBfr65a5H7nhVFxuutiNB8jXPiUNxhASKJhsgiGWisJYvmzQOx2QJY\nudKPmJhjjBgRfU3sKfh3YZHANYa77mpHUlI2o0ffiNMZBjhpGB1HUJCaYTp0aMz8+Sfp23cRp09X\nPu/qGriCeseQgB1C+f4yiBzykZa9ybimA7IKphrnNMNVa/+gce4ZlFUwx33lo0Ci3fiThzYp6YAC\nev6IcN5Bwv0zCiyGoMKicNQZWIQ0fDsk9B2RdWFOHfJFRPEMUERk5B4GDMgmPNyH117rWDwwNT5+\nFj/9FHVNlQL/FVgkcA3iySe7kpu7hJgYT+5Jnc/Dm6Zhv3Uy+T1vJ2/QYCIjQ0lJOYJL25u1+FlI\nAJeivL0fMuvfRy7EDlQcNByXLx9mXJOCXIc9KGjYAFfnX3nOHfzpg0z1d3CZ9/9CVkU+qhQcjIQY\n5KasR3EAO4oPVEbpwEREAAMRmZwFQvDyOsV777Vk06YzHD8+h+rVs3jrrQcJCAjgueeWFhMAQGxs\nPRIS4qlevcbf+r5LOiwSuAZhs9kYMeJWnE4nKS8sgx3gHbMF75gtrBq3hP72B8nPr4kq88aiIJ05\nFHQD8rfdtWJ5JKDdkHWwEVf5bwxKFU5EUXkHIpVN563qmHFsNzLPgzg3JFUJVQj2Qn78WbdjTvRT\nvQ4R13eoG9F0IQ4gUohH+wSCw3GAmjXTGDTot/MAo6M9sdlScToVdKxZ8yAVKlz47kElFRYJXCPI\nyckhISGerVtP89VXWRQWepCbu5283VWKN/wC6Hl2LbmsQQL/Coqop6LIeTKquPuSc6f7piNTfQUS\nzh5ud2yJhP5DJOR1kIVwA5r+2xURyyE02OMW1D04CRUEmTX/eSiFNxGVJaegeEAFpOlvNa7rgNwW\n9w1Ac3F1CwoOR10WLJhI27b1WbZsO598kkBeng9duxbwf/93KwkJP7JuXQDBwfm88ELNUusKgEUC\n1wR+/XUPI0acIi6uDk5nMk5naxR88wWeZw1LuYG1xefvoQEN2Ysi931QpD4eCbQ/8uXfRJH3bEQS\nW5DwpaL6ADOekIkEfygKyq1DNQgvIwvjI1SZVwUV/Jjlxw+hoSOVjWeazTpDkctxB9Lw45FrsQKR\nTTquXY9ro7qCDOSWrEdxAX3Kzz/3ZN26N0hObkJy8hAA9u07TVTUr7z+eu+/+C1fu7BI4BrABx8c\nJTbWHKzZGAleF8wIfi8WEMpJFnEz9UigAfvYR03qM924pjsy0w8goV+HgnC1keaea5wzCxiNqgdT\nkRbfgsz3iSgol4qrHiDYWM8y4HHkOpjwRKRSBpFPmPF+ERJ4c2S5v3GPCBQ8XIqIIt5YxwiU6vwM\nD49dlC+/maSk6siyacPevUMQyY0DamK3B3HgwPnzEEs3Sm9e5BpCZub59e6ZSHtqF+gMyhJHI+rz\nFHuMPHw94jhY3GlnbgDaDM0OzEQpvu6oSq8nErgI1Jv/CBLOAyiYWB6N/e6O2nfNDUDXISE/i4KK\niUiIHSjab1YCLsBVyjsNxQt2GudlGdcsRJbDrSituMd4VjWUCnwChyOS9u0zUUFRZWSBeKPgZzVU\nt1CV3NzEv/DtXvuwSOAaQPv2OciHzkZC5EDR9hvQ/gAzkJ8/kEacZicNAahNPEcog/zuoaghJxpz\nlp6i+G1QaW5XJERPIo3eEwmt2eTjDhuqP5iOGnPuQrUG5saeA5Em74qEPQllI9aiUuWeaGTYrca9\na6FagzTjz/vGepfi2iK9AGjMypUeqBbh/J+2WWNQ2xilZsGE5Q5cA3j99dvw95/L+PGxFBa+in7w\nJ1EuvgKKzL+A2UHXlN1spSbNiaMGZzlGT6I4btwtn3Mbe86gPP0Hbk8MQ1q5DiICcO3ll4HKjiOQ\ni9EAaWQT1yOh3418+76IrAqQcIciqwJUMNQMkcJBRHBP4RLwx5GFUhVlL6LIyChEWYzPkRtRE5st\nBqfTTFEWEB7uXmFowbIErgEoJXg7wcHNcGm8KsgUDkGC/TouM/0nWrCcLdQEoBonOEUl5Ee3Qk1F\nCaggx72jz8QpZPqfQmSTg2ICo9H4L08UAPRG1sRat2sPoJjB8ygbcYPxvo9xz/P1krntWF1jPfbz\njvkgAnoa6IPD8SghIbOAF/Hy2kXbtqN5+untREcnEhGxkNtum8bw4V2x4IJlCVwDWLt2D9OnHyc9\n3X1opxNp3BDk35dDkfYTyIfPohX3sZ4ltGUjlYgnkWgiWYhM/DkoTlAWadpFSOjzUEBvGnIf9hp/\nTiF34V7j+YtxlQzHo9x+CnI3OqMAYDa/bSdujAaS9EX1B+Z8w3nG55iBBog4kRVwGlk5JqrSrp2D\nNm1m0bx5Fdq1exqAl15yYrfbr7ktxC4GLBIoAXA4HMyfv4b09DwqVgxi//4kOnduSJMmtfnoo9mM\nHRtGQUFnpI0nIStgA4q6e6Ha/mpI8JzIIsgFvLmeXqwhjfYcJIJsUuhBGJ8gU9tm3GcusgRuRCa/\nHY0dW4F8/X+gjMSdbqu+FZn4h1Fg8DASaH8UCFyHKv7GGveKN9Z0EyoZXo3L3x+P2n/Xo/TlL8Y9\neiN3ZROuwSLJZGSc5R//GEJ4eDDJyZmArCWLAP47LBK4yuF0Onn88VnMnXsn0qbRwC28995Kbrll\nPAsWZKIxWxNQOa8fCsgNRRHy+cin3oqEpjbSnhuR772AGxjMar7hRvYQSg7pDKNs8aCOtkjo3kRW\nRCzyuUE1+xOR5dAR1SbUMY5loTqFTOQuvIvIZADS9HchV2Ir8CsiijaITJq5PQPjM7RC7sP3KNNg\nQ9ZHDrJYZiPXoJBataL/+hddimHFBK5y7Nixl3nzOiFz3gcJHNjtnViyxAuZ5pORVv0ZmelncRXz\ngMz/XEQAIJ/cE/n6J4GBdGAOvxgCXIYsMot7+vNxzRI4jSL1JiR0QgskoKuR9TAbl/XxsvGsUJSz\nH2yc3xtZD10RYfghAV/ldt+lyK0BWTCHCQioQqNGzZDr8RjBwUdQPUNvKlUKYeDA0tkD8HdhWQJX\nOYqKHDidnkgYPc876o386Odx8fkMpEkPIq2ch2s6rzvMqcDPYu4ZcBNr+Imb6MpugsgmFx/8eQ1Z\nGOCqADQHcZrTfUGCm4+sAXMYyDwUUzDXlmkcc//ZRaKU3l3IrE8x1jQaEV4dRFSj0ExDD/z9/Zg5\nszOTJs3G4bBx3339+eWXnzlzppCePevQsGHNP/hGLZyPC7YEVq9eTffu3enWrRuTJk26GGuy4Ibm\nzRvSo8fPSKMeRTXyABsIDDQn5Lj/N55FAbV1qFZ/C66dfr5D2nQZithv5Nwcf1lupjNLjNJeP+wU\n8E/ktzsQ4VRCQbu+yDJIQ8SzFwUQ70Wdh2koJlEWpRNBRTsrkfmPcc+lxj3XogIic9PRocYzGqIS\n42bG/bJ48skgIiLCGDHiZrKyCnjmmf2sX5/F4MHXWQTwN3BBlkBRURFvvvkmU6ZMITIykn79+tGl\nSxdq1ar1vy+28KewatUeTp4MIixsHoGBGRw//i3mLroZGbWRH70TaekkVBdgztnPQEG1kShu0AAJ\n6zHkw69GJnw/ZC1MAN7kVsqwkB70YDHeFOHkn9iIQkL/otvqHsE1J8CJXJGxyE931SXIPZhorK0l\nIrQ3UAVhK0QY3sg6yUa9CWVwTRkqMo43o0yZE9x/v+oO3nhjCVOnDkCuhJPMzGnMnGkWOln4s7gg\nEti5cyfVqlWjShV1dPXs2ZPly5dbJHCRUFhYyCuvnODgwXsASEm5E/n/rdEsvbeRUD2PNG4Oypeb\nKIP8+bHIQmiOCOM2JJDVEHHMNc73xez778ki5tOC29gGgJMh2FiGBLaccX4irjkBNuMZnZDVYRIA\nKJhZhKYSO1HNwjOIGDyRK+BvrOUF1N24wVhPWWN9ZolzEHZ7ARDIoUN+uGYO2Dh82H1mgYU/iwty\nBxITE6lY0TUTLjIyksREqy77YiE9PZ34ePeWWR9UbJOETPD7UO78PmQuB6JR3ib2Gq+fQxN8f0Qm\nfQXjHntQzCAB+fKHkGAD2OlNf37gdrKqw863Ydot7yLNvwaZ9R8hwQbFA04gTb4el8kPqjloavzb\n3GZ8qbGOQuQWgMilGSKNu5HrMxYRQTCQQbduRyhbViRUuXIO7puLVKmS+bvfpYXfxwVZAn91Mmu5\ncgF4eZ0f3Lp4CA8PvmT3vhT4X+sNCwukRo157NyZgMzh3ci0j0T1AAuRJi5A/nR945wE9F+7Hw3i\n8DL+dEduQRlEAoNwFepMRZOC/40EKxHw4Nnq9zJlyjwAImwbYGktJOzeSGhfQ8G+ZONesciPD0Kp\nPTtyIxKNZy5BQn2X8dwiVN78JIpZVESpv89RNqMyvr5zuP/+DJo1q8Cjjz5QPA/ws8/6UlAwkz17\ngqlUKZePPurwm++0pP0m4PKv+YJIIDIykvh4V5VaQkICkZG/35yRlpZzIY/7Q7gXhpQE/N56p01b\nxcKF+fj6FvLgg5FkZUWiNNpplOozLa/HkHavgAJpY4z3ZyKzvAsqGop1fyqyJlYb93EncW9gOdLo\n5YAmREXNZcqUAcVnPDnhPlzThV4znvsBiuBHoUBjGAo+ikSkwX1QBuAssgTcd/jwRFWNjyGCikMD\nSl4wPhvk50fwyCP1GDduG99/P5e6dQsYNao7Xl5efPLJuXMB3L/TkvabgEu35j8ilgsigUaNGnHs\n2DFOnjxJREQEixYt4sMPP7yQW5ZqLF0aw6uvRpOdXQ+A7dv/RUKCqTGdnLsLL4gUnChHbuIO5Gt/\niYTOjkzqmkjAqiBCKYPScWHIJN9nnBsGBFC1aiBTp04tvuuDD+4k7ug+FHeojdJ4NiSwnkjDv4Qp\nuHrdBBHKzyiguAD1CszDVS6cbqynMipK8kTNR+Z9AK7nySc/Z8OGVwAPfv45h6KiH3jjjduwcOG4\nIBLw8vLilVde4aGHHsLhcNCvXz8rKHgB2LQpmezsTsWvExK6EhS0l6ysSijYthgJcxgyndOQ5k4y\n3vsRl7ati2IE21D13m4kcJVRUU4sSjkGIMFrgioLx1ClyhmmTXu0eB0PP7yduLjGKN14PxLgMigV\nudC4roBzBbcVckeqobLiKajewIb8/ZdRUNMG/B8iiG3IuhmPYhQaVOrhsZzTp804AsBN7NlTeseB\nXWxccLFQx44d6dix9A5pvJioUcMfD49EHI6NAHh6HqV9+2TWrdtGZmYLFDVfjiLnLZAJ3gllCcKQ\ndg5EZvocpHV9UQAwHPnq7RGZ+Bl/DqFAXBzgT+XK1fjqq8eL1/TIIy8TG1sR9QnkI6Gdg9yN2xHB\nzEaViztwBQDX49pazIaIxnQ/KiIXwD2dVx+X6/IUmgTkDWThcBSSmurEtbfBdMLCSt9OQZcKVsXg\nFYDT6WTq1OXs2pXKjTdWpX37hjgcDk6ezCIk5GPS04cBkRQVwdKlU6hdezeZmebmoF1RF94StKPu\nbEQCn+JKy/kjAdqCGnnyjNedkMntj0ugYpBAtqVSpUFMn/5N8ToffXQqhw/3RVbEYlzpOB8U3AMF\nAPORlj6OyCkbBfx6Gv/+zLhmBWoQsiPy2APGgBOtKwoFHauioqENiCg+ISvrUVzboN1H48Yz/+zX\nbeF/wCKBK4BXX/2RyZO7UVQUzpdfxvDeexs4cCCVDz/sjsxz9+BqDQ4dWoSi92G4JvqaqcN0FIUv\n4lwkoEk+IA18u/HvPsa9ZiAiqANsplKlKL7+2kUAQ4e+z6FDQ4xX5majX6OAYCjnIheNL29tHP8n\nCh5+jAqTeiDyMrcsb2V8jjnIsrEhFyMfBTbNmQEvFX8H52azbQQFudchWLgQWCRwmeF0Olm4MJCi\nonAA0tNb8sILn+HlZUdR9SJcU3pAdQFtkS8OSsV9ifzo3Sid9jDS1B+jBp8juAaIwG//m8uh1OEG\nIJkKFary9deuzrvHH7+bgwdrIWHcj3z/65BmP40qEccgc3+v8awIJKimu+BnrKUKcjmWo7jBY7ga\nmaJRHUNT4xkhuGYDrEWWQiOgFmFhb5GSMhKANm2mcvfdJqlZuFBYJHAZYbfbyc/Px9v73GaejIxI\nZPZ+jQZ1fIci9nYUja/rdnY4EpZvUS+96YObZv8CZDHUQMU8g5GmPoKCirHIrC8PfEJkpI1vvnEJ\n1BNP/If9+2MQwWxAZn808vEHoeq9ZON5B1Hd/z+MNddEwbwTyOKIR5aAL2oA+rdxnxhjTU1QM9JU\nRGbu+yK2R+3Lh/H1TeSzz27k4EFVNt533+34+58/19DC34VFApcJkyatZMKEInJzA6lUaQ9lykSR\nkWFu8lnfOCsIlQUHoIq7emgmn/uobjvysyugYNtPSItGIp9/GRI4f2Riv4DM9F1oZHgnlFJ8i4gI\nf2bOfLX4zv/4xzr27bseafBlSLuHI+ukKUo1VsA1BbgbqjlIQu7CVGQd7ENCXgsFJ+ejyUTP4frJ\nfYArA9AUWTx7cZHaCQIDM2jSJI1Bg6rTqdN1dOr0J79sC38JFglcBsTHxzN2bAgZGcqipKS055ln\nvubAgcUsXnw/rj37TqOtum3Ix/4ANfh4orZfD5QW7IDM8+dQkNCGcv7/QhrU1JI2FKjbg0z2SKTd\nZxAeXoZvvx1dvMannvqVvXttSGC3oQajm5Cwf4+E+Fm3e89Apno5pPHjUHyhPi4z3kQBcg/cf24a\nROrl9QqVKnkTH98Eu305IoNCIJns7LFUrjyd/v3bYeHSwSKBy4BTp5LJyHBvcQ3A07MCX3zRj5Ej\nF7BjRzAnT24iObkC8u27IfPdF0XKywH3GO/NQNpyCQr2dTLu+T2yIE7j2lkYVDfwBBJuH+AM5cun\nMmvW+OLVPPVUf3bvXoAENxC5E+aWXkFodFci57YdByGL5EfjuhrIGvgUBSVNc/8nFNM4jawYs+Dp\nJJBMYeEnHD+eRN++S2jWrAzjxm0hLW04Zs1BUlLAn/mKLVwArMlClwENG9amSZNVxa/Llo2hW7cq\neHl58d57fXjgAU/S06OQJo1H+wEGI+F6DAnbKuRzP4rSgvG4CMDcCDQHae5vkHDORJo5CVkBHpQv\n78l3331dvJann17F7t2DUSnvINTDn3feJ0hHgp3v9p5ZKGRuUpJmrHMvSu/1QY1GNxjrOIAI4gc0\naiweWRbBQC3mzWtHmzY1iYoSUQk5NGzo/kwLlwKWJXAJ4XA4GDt2Cdu2eVG5cg7R0ZPw8AijZ89y\ndOt2E8nJmTidTv75z+PY7f8wr0LNM2qXdc3ji0XxgiSUbvsaCWcIchUao2DdbuM9s6TWNNu3ERbW\nle++c40de+aZX9i5s4PxjIG40Ae5FoOR8C5BnYpzjDXl4NrANNFYRy/UqlyIRpY3RFmL15HQeyL3\nZi0KNkbg3rvgcAQxdOgKjh17EU/Pw1St+g49e0YxatStf/l7t/DXYJHAJcS4ccv44INuyJx3csMN\nU2nXrog1a1IpX34LbdrUZffuw6Snu+fdDyOBP44EqjUS6ubGn8lIw96DTHwHKuHNRzP7eqOswGSU\nmgukbdv93HnnOq67bkjxU4YPf4sdOzqh4OFalMs3+/HzURrwY2QdPISag/qirMJU5JI4kEUQjjR7\nU/STikKtxitRkNLM6Y9AdQQjCQj4P3JyFiDyyCcw8AuOHRsDeFJU1Izs7Hief745Xl7WT/RSw/qG\nLwH27Yvjp58OsHRpOq4BHDY2bw5hzZpuQDAzZy4kImIjJ04EoVRbCsoIVEMm9jJcTTUVkIkch3xt\nf+RfD0ZjxDZx7rjv+1FH3p3AIoYPn0x4eELx0eeeW8C2bZ+jASQByGefjaL52UjDtzDOro3I5gmU\n3tuJzP01yAq4zviMicB/UDtytvGeL+fORfREKcUF9OkTQXx8HAcPvkOlSjlERTVk9mzXuQUFfhQW\num80YuFSwSKBi4zVq3fz5JP5JCT0x2abitJr+nHb7eZOvpCdnUZcnOkCONF0oG64hO9eZH57GNeb\nLbM/oFjATmQtBCNyOIssBpAl0QRIpFatdoSHv3HOGrdunQ+8g+IHx9GIsu3IpfBGhJSAcvyg4OQ+\nXL0AG9CosiO4qhKdyOxfhoKGrY11fYOsCU9kobTD13cGoaENef75m6hSRdWRa9bs4ddfV5GY2BFz\neEiZMtf90Vdt4SLBIoGLjK+/PklCQn8AnM7+eHuPwWarhdN5FqfzNA5HEvKH3TWkDQX9klFArwCl\n/ryRpm7tdm5HZIJ7op6Bish/n46siGRkzt8KzKNJk8nnrG/ixHeQub4WuRRFxjVHUUDQjoJ7j6MC\nnk+M+65EWYICVPZbE1f/gPkZQhChmG7FYWO93xtrvgtoQn7+cT75pB+LF//AtGn51K5djRtuaMj0\n6YdYsuQ7IiK8GTKkHxYuDywSuMjw8HC6vQrEZitHQYG5NZcTb++PKSzsjtO5DQmFBzKfs5EVcD3S\nquORYDZGpnowisIfRBq4lXHOd8brwbj6CAYbz7uPVat+IDLyHg4c6M369b3Iyws0zrkTNf3UQ8G7\nMUjY9yPh/z/jWC0UD/BAPQN9kTXyGiIMMx2Zb6xtO8oIrDCOVUVkdiMqEW6CCGwPsbGeDBs2lx9+\neAxfX1+aNq1N06ZmSbGFywWLBP4kFi/eyIEDadx4Yw1atqx7zrGiIjXveHp68tBDNdmyZRHHjnXH\nzy+OgICypKYWoJn7JwkPz+Hee5fz8cd28vNfR5reG2nh64072pAADcfVKLQVmduJxnkNjPcHIrch\n2riP++ARL1JTmzBhQhYSXh9kyldGgliIKv4aIdN9Mwrw3Y18+gcQAT1vvM5GlkFzNAtgFfCFca+1\nxn0+R2XD7YzPVBtXr8AWFFfIMr6P3sTEdOehh6bw1VcD//K4OgsXBxYJ/Am8994Sxo9vTX5+FGFh\nmxg7djO9emns9ejRC/j+e39sNhgwIJ8XX+zBnDll+OmnOURHhzNmzAlSUxciP7sRp0+/xNixp1BA\nrz8SlBeRlnUvpknERQAgDToX+f7nC8seRBJpSPMWGee8jEz4OqgICeTbD0e1CImoku85FPUHWQlr\nUPAxEQn0GiS0IcgiyUbZg6HI1A9HA0K3onhALHJHTqFSZT/ASevWuylf3ptFi6JwEZ4Pq1e3JCEh\nnooVK/3P/wsLFx8WCfwJzJ3rSX5+FAApKa2ZOfM7evWCJUs2MGFCewoKVPb773/H0arVFtq3b0RB\ngZNNm06SmBiNtPA8FIUHaWKzN96Gq+NuvHEsEAnQelzCsgKZ3Tcg0zsZCd8CFCisjrT0k6iGYBcS\n9s24ioownvMGMvfNPfwKjGPfGvc9jJqC/oPSeiAX5TOUJQBp/qOIDJwoFjDVOG7udxCAiMIGJNK1\nay5PP92De++dzM8/u3YjDgxMw98/4ne/fwuXFhYJ/Al4eDjOe62/jxxJKyYAgPz86hw4sJ7PPjvE\n6tUPAOl4eOw1jp7f72++no2E0iSF95BJPgLNCkxEQlYbadu+xutfUD3/Q7gakJ5BPnkEMscrGM8p\nxPVffRSlBs3Bk31QgDENCXJ1RAprUQDRhI1zLZPr0cTjU8b638XHpwIFBWkosGhHAU3Taolk3z5v\nbDYbH3/cj/vum0JMTBeCgk4zdGhm8RhxC5cfVtnwn8CgQd4EBe0CHFSqtJwHH5TZ2qVLfSpW/KX4\nvCpVfsbf38Hq1f2RWV8eh+MArkEgc4BcbLa1yBf/BtXUu2+Z7YMCcgeR790Wafw4XCk7G6rtr2ic\nayIYCXkNVOk3E3UMTkO1BEtQR2KB2zVbUQXg8yhQ2cu45joUaDQDnUVI4E1sMNaYCbxNs2YncTgK\njc/TEk092u12vp3ISD23fPlQfvihN4sWnWTVqrI888zNWLhysDmdTuf/Pu3i4FKOf77U46W3bNnD\n7t0n6dixITVquDTir7/uZtq0k9hs8MAD1cjNzeTuuxviGg0+Gpe/X4gCeumIJPYjAXwZmc5bEWGY\n+fE5KDU3HGnoDci8fwoJ25tI4w9CLsKryFqIQ3X5p1DZsB/S3E2QlfErrhmDZ1Gq76SxZj9jrdsR\nITmRRbALlQIXGZ8nBMUXYgkJ8aFcuTYcO2YWLG1CsYFVQBgeHk46dUpmypQBl3UOgDVy/Nz7/h4s\nErjIcDgcNG78McnJjyNt7IEEcA8yydeiwh8vlN93oqi6P9KcL7ndLRPFEtyHbYw3zotApFIPBR3L\nIiFdg9JxZm2BEw3tfBYJ93TkAixCBUkYa9qC3IQsFBtwIELwRTGKTqiM+EVcJn4+1asPpnv3lkyY\n8CTm7sbCfIKCTtGgQXkeeqgsffu25XLjavlN/BWUuH0HSgu2b99LSkom7ds3xc/vt6Oujxw5ydix\n28nJ8aFrVz86dKjG99/vRvn0ccZZVdGGn4/hquy7G3gfmeJm5P0UCg6CiOP8HZsqIwLog7ryvI17\n9zBgD/oAACAASURBVDeOt0HmvzsJOJBF4o0Cg+/i2qzEPMcc5rEQpQY9kMty0ljXLJQpyMc1+iyL\n0NDqTJjQFhFec+P9M5QtG8vEia3p3LnJb74vC1cXLBL4Hxg1ah5Tp7bEbq9Jq1bzmTHjFsqUcW18\nmZ+fz9ChMezYIW29cuVB3nijgMTEONasqYTM91ZIyLNxCdBC5Ou/i6LqzZGwjkKavBwyuyORpm6N\nzPiaqJMw3rjvaqSZ3cd9p7o96wPj9QPI3WiLgo2/oG7EAtTzb+4X4Y+r+CcdVRWCshK5yL3oAeTj\n7/8BW7eOMta4GJhLUJCdtm3j+PDDflSoYEX8SwKswOAf4MiROL76qiF2e30gnM2bH+CTT9YAcPjw\ncSZPXsS0abPZsaNl8TW5uXXYu7eIOXP60a1bGKoDmIa6+k4gy+AAigW0Rvn5jsh/3oHiAcGoCjAC\nCelqpLnrIddhB3IBFqAqwpfQf+UKlOI7gQhjMbI8mqM5hQNRMLIxchs+Q/GGyij7MAtXZP8srtoB\njPtXQNWIh4CXGTo0Gvn+oLqA3jz5ZBEzZjxhEUAJgmUJ/AEyM3PJzz9XEOx2T1as2MEzzxSQkDAA\nFf3swZWmyyE0VEM5brjBwbJlq5EZ7o/Kcp9AzTtdjfOTkGZ+2Xj9E+ofKIOE/GHUebfCeD8OBex+\nQrEGs+GoMarWy0FBxO5u63YPxjlQQdAduKYFHzXW4Yesk8+QJbIXWQ4eKA6xAGUoIoEWTJxoJzLy\nnyQmvgN40aDBTAYNao+FkgWLBP4AjRrVpXPn71ixohrgTbVqC+nfvw7vvHOwuElIM/3GIQ3rA5ym\nd+82zJy5krfeOo2EqRYyof+NhKkqEqYsFHV3n6EXi4J8USjw9xmK6j9jHJ+CNLQ30sjuKI9SfO8g\nC8IHafUM4/gu4/2zuOoUGqAA5ErjuTVQN+NRYw1zjPuEInfjelRMdDe5uRXJzc2gRYu36datHoMG\ntSciIuxPfrsWrhZYJPAH8PT0ZOrUPkyc+AM5OdC3bz2io6tw7Ni6886sjmbyL6F69RBeeGEJmzZ5\nIkHKQea+DQnPTci3DkKNO9FIyG5EAnsQpfnKIu2cgAKIIKvjZlxFO3YUL2hnHAtFgn4DsiwKEQGE\n4SoTfg2lGJcit6MqIpPaiBi8UTxhjbEGs5vPgVyWPcZzzBRoGXJyGjN8uGnZWChpsEjgf8DPz4+n\nn5Zp7XA4ePDBmezf3wAJXTsk6J74+U2nadM84uIy2bTpFZRmewj50YuRSV3POL8v0rJtUVUgiCBA\nlsPduAqI3kf1AbVQHMA91XYbMBJp69NIYL2R8BYhIghBRUM9Ua//s4h40pBg70eugS8KVlbBVZeQ\nh9yQqiggmIvNloXTmX7OdxQUdP5MQgslCVZg8C/g8OFYli27EWn2UOALypd/l9q1D9OrVyF9+niT\nlPQA0vTlcO3SeysSJrNgyCzHrYViCQHIJC8yrnOvIKxgnDMbCfp0t2OzjXvfhYQ3BxHG10jbhyKe\nvxdtD55unPsyykqsQaQSgCyKX9FOQeHGew8j4soHKjNwYDkOHbqDqVNrU6PGFLy8dlKjxlyef95V\nOm2h5MGyBP4CfH198PLKpbAQJBwFZGVFc+ZMJQ4d2sKcOflIMG/jt70Coch68D7v/RA0QOSfqBBo\nHC5/HpTeS0Fafj8qHvoeVfQNxNVS7ETZBHNQ6fn8ftRYk1mi64XI7HWUPdiMYgmeKAC4Ftcswb3A\nbvr160dISAg9enSkS5d84uNPExHRjoAAayx4SYZlCfwFREVFcffde/DyOgrkUr78QvLyOqL8+104\nHBVQJH86Kvo5gATvP2gcWFmk6eegPP9cRA7exnXZKHvwFjK/p6Ng30njmln8f3vnHhdlnf3x9wx3\nASGRq4CIoZjmvVpTK7V1UZPctLX82QUvWVur1ivN1trcsgi33bLaXM0wL7UmZkYSZt7AdL2hiXhD\nKU1UQJDbcGfm+f1xZhjQFE0EYb7v18uXPM8888xh9Pt5vud8zzlfa5UeWAUAZMZQiDQAmYs8+UsR\ncViJ5PJ3QkTCQhYiQnmIj58PgF6fhSwpOpnt/SMwFYPBKmxOTk6EhHRQAtACUCJwjcTEjOK///2Z\nDz5Yj5+fAXlSG5BswLuRDUECkaSeeGACMtAtS4hjkRTcTORp/wOysqAh23ydQnz2ccgg740k+jyE\nDMaTSHAxB5kVgAjNN4h74YE8zR9HIv6zkGi/DzAE6fOXgUz9NyDZikFIXsJmgoPj+Ne/fOnb9yfz\nZ4cgrkEou3ZZxEfRklAicI3odDruuacPGRmlpKW9iEzjs5GIfGvEt/8TIgz3I0U+QcgT/Rfk6dsG\nyfbbgwzQkeZrbkVcAQekCCeTulWC3ZAg4x7EhfgJ8e3fRcThE6yVe/aI2FRj3UzEHckZOGz+0xtx\nX/YjjUW8ad8+nXHj7uP990fj5HSg1mcXEqxc/xaJignUQ3V1NUePHsfDw42goCCSktKYM+ckx487\nIZH9MKQgKBeZ9gcjQpCOZO65IoMvGxnoryOltnbI138bEpXvjDx1fZHBPh+rGFjqAJYhMwLLNuIZ\niP8+DalT8EJWGSzdfMqQIGQ8EhSsQp7qKWa78tDrMzGZ/o2lX8C2bYVs2rSTIUN+x2OP7SQ2djkm\nkwdQwI8/1u2roGgZKBG4iKVLk0hIKMfBwcjkyf58+OExtm27DxeXC0yenMCmTSYOHbLk01um8B2Q\nAToDayXdZsTnH4ek8u5H/PYgxEXYbj63EUnwKcW6uzDma8ci0/a1SAzhAOLbWwjF2hsgCBGTTshM\nxMLH5vu+ZbanL+KaaMAycw+A2u3K2nDoUAZDhkBOTltMJut+BklJ66msrMTRsfbqhaK5c10iEBMT\nw9atW3FwcCA4OJjo6Gjc3S9fsniz8913KcyZcyslJTIF3707hsJC2U67tBQWLjTh5pZd6x065Ila\nhLU9uIVOSAnwXeZjZyQGYEKm9MPNr01GZhOWzUBXIQG+FMRVGIgM2PnIk/5b83sx/zzafM9UZNp/\nDpmhhCPuRITZvl3I7MMSm9CZfy5FBKk/UIaz8w5GjIhk69ZUUlLOIALkB/wON7dSHBwuXt1QNHeu\nKyYwYMAAEhISiI+PJyQkhIULF9b/ppsUTdP45JP/UVJyHAnWQWFhCLV1srzcDz+/o1gj7JYp/vvI\ncltKrTvGIfn8IH75EcRVaIcsFZaZ/+6GLP1tRf45Dph/vhvJ7vsAEYYnkCKivUj68ftIYHAbMhtp\nhSz1PYusQvREZiGBSODwIBL9r65l4zn0ek+mTUulQ4d/EB7+Tz79tD86HUyfXs6ZM1ORkmUNT89P\nmTXLS3UEboFc10ygf39rsUiPHj347rvvrtugpuK1174hKWkSkihzEkjEw8OIs/P3ZGf/HjBy113f\nsm+fJRfAGUjF3T0Hd3eNs2d7IwMtHhngJ5Eg3Z3INP0prIU8f0G6ABmQp7o9Iia7kQE8B5kd/IT4\n9JGI4HyOxA3skQFdjAjHS8hAn4c0Jz2ODPZuZpueRGYZ/0JmFKFAHnZ2vzB1agdefnk8s2dbv4vY\n2PWcPVt7W7N+TJhwjAkT7m12TToU9dNgMYEvv/ySESNGNNTtGp2tW13QNG/zUQiurt/zyCNG8vKK\nycl5m1692pObe4Zdu6KQAXoUcKO4eDDFxdVIlP4l5CtdZf55PjIlT8S6jRjI2rsHsjZ/AnElNiEB\nxFAk+v8TEsg7j0zZt2Ct7cd8/4HIbsEgU/0/I2nBv0PyFCrNr8s/s4uLF2VlfwayGDZsOR9/PO1X\n/ftu3QJxdT1CSUlXAJycTtGjR+Al1ylaBvWKQFRUFLm5uZecf/755xk8eDAACxYswMHBgZEjR15y\nXXPB2bmyznFwcCUrVgyhpCQcO7scunbdwPr1RmRQhyHRf8vAtkc6+8xDfPEByBKcEYnK344k+4xG\n/PuPkD383BFf3cv8uqW9N8iy3xzzuRVI4k5t/JDkotp7FVxAgoKWMuKvkRmDN56ee3nxRS/On4+j\nbVs9kyZNxs7u4q5Fwp13dmPGjE2sWHEETdPzxz8aGTYs4levVTR/rrvH4Jo1a1i1ahVLly7Fyeni\n/6h1qa42Ym//6//xmpqvvtrN1KkFZGZ2oVOn/Xh4nGXPnqeRgVxMWNgWzp7NpKSkHTIF/xlZmrOE\nVXYwZ85PbN7cGnv7Ks6f/4GDB6cjcYI8pIBnNyIC+cgKAUh8IQF54lvOgfj8gUjV3itIQtFY5Ilv\nRNKLJyFJSk8groUl7djit0uj0b593Zg9uzejRt2FQnEx1yUCycnJxMTEsHz5ctq0aVPv9Td7o9EL\nF/LIyMgkPLwDgwfHcepUfyTBxxtn5x2Ehblz8KA/8nTPRwbjo0AOQUEr+fvfh3DqVAFFRfnExZ0i\nM7MrMkP4EhmkPZAsvS5IwM2SB9AGWcp7E5lVVCM9/SchuQankJWEdcgU/xQy7XdFZgLvYa0JOF/r\n53U4O/uycmUld98tvf5SU08wf/4xKiocGDbMhf/7v4FX/f00t8adzc1eaIbdhocOHUpVVVVNz72e\nPXsyZ86cy15/s4uAhbKyMm6/fS1FRXZIOTCAxgMPLKKw0JFt27IQf3wLliYd997rTlJSILK8F4LM\nFDRkgJ9G0neLEDfiF6Qy7zQSYPRFVhfWI9P+DPPxPkQUDMjyoi8SH7iFuvkCXyPpyieR+EMA9vZH\nadPGjUmT/Gv6+hcXFxERsZPjxyXo5+p6hIULcxg6tDdXQ3MbVM3NXmiG3YY3bNhwPW9vMgoKCvns\nsx3Y2+t48slBNW6MpmmcP38eACcnH6y+thFYx/79VTz6qCdVVW3ZuTMB8f3tgCKSktKQtGHLtlsg\nPQXGIgM3EYkJBCArCJHI0l4nZABbOv6uQXYE+h5ZUfBGhGY2kmocgbXNWAdkSdHNfM1m83vs+Mtf\nynnppQj0eusqcGrqcY4ft67olJR0YceONIYOvb7vU9G8sbmMwfz8Ah5+eBOpqY8D1Xz//ad8/vlo\n9Ho9U6asZvPmbjg7F3PrrYfIzW2DphmR6fxwzpxx4513DPTuHYM8iS15/VnIFN6dutl3rZDBbdl5\nGGT6bqnGs1buSV7BQCQ/wNn8PstqhSPiQgwyH49EcgwWA2W0auWMk1Mi+flzATs6dIjn4YdvR6/X\ns3fvMd599wQlJY707XsBLy+NvDzpc6DTXSA4WGX/2To2JwLLl+8kNfUJZLA6kpz8KN9+m8zZs2V8\n8814wIWSEigtbcvcuftISJjHoUM+FBZauuq6sW+fpTuvBV8kMu9m/rsNEvArMH9ONeIG7ET6APwJ\nySFIRTYM2YwUGPkjEf+9WIt+LJQhSUR/MB+74+pazKxZ9zF58hAMBgMffbSW3btPYzS25h//MDB1\nahnTp58kPV3ak+3dm8mYMV+RknKe8nJHBg0qJCrqjw3wrSqaMzYnAnZ2ls04LKsU1djb67lwQcOa\nzPMjZWXprFxpx5NPdsfZuZDNm2vfxQ3p0WdJ3/0aGcAm5IleZf7ZCYnqm5AU4lJkSdAJKSIKRcTk\ngNkeDXExdiJdhN5Gcv3TzK97Iu6C2O7n58OUKeLvt27dmqCg1nz44diaTVIPH44mPd3SEBUqKwNx\ncQlg27ahaJqmsv8UgA2WEj/55D3cddcS5ElbRETEKoYN68ewYaH4+CQjmXnZwCMcPBjFa6914Pe/\nt8fF5SMkRddSOXgrUpCzAnlyj0bq9Q1Ir/+pSKZeBdLeyxepMoxA+gN0R5YE483nnkICimfMfzog\n8YITWN2GnkgV4YNAd/r1qzuI9+wppbLyjPmeO/n55/4EBByseV2nu0BoqJ35ZyUACsHmRMDV1ZVV\nqyJ5771EFixIYsmSsdjZ2dGnTyf+8x9HBgxYjBTTCAbDbeTk6IiIcEH88klINt9BxFcvw1ojUGx+\nLQHpKjTf/Hos8CEysC1FRhWITx+FuBCrkKYg3yD/LAeRxiEPIbOCWUjvwFPAIVxc5jN37qQ6v1tm\nZjoiNpGAD61a7eTNN1vTt+9KunT5ismTv2XSpMEN8C0qWhI25w4AuLi4MG7cpS2yBwzoSkCAO8OH\n/8iFCwMAcHTMpHNnd3x97Vi37guqqoKwsysiKqoEf39fgoJ8OHjwPKtXv05JSSbFxU+jae2Rll69\nkSBgKtJvwAtxBQqR9t2TsPYSbAXsR6czEhaWS2GhE9nZ/shyYRg63c9o2hPAQXS61fTu3Yn09DP0\n7GmNTRgMnREXAyAULy9/Roy4k2acza1oBGxSBK5EaGgwjz++m8WLj1FV5YCHxz4+/3wAhw+foKrq\nGcADo7GcTZvms2BBR3r37kpBQRIXLgyhoiINGfhliFvghEznZ5jP/QWJO/wHSeqpXU/gDXyApj1B\nerorHh5rkWm/oGmr8fRcQ2FhGzTtKbZvD+aZZ9aSmNgWT89bAHB0rNvc1MfnyhmcCgXYoDtQH+Xl\n5SQmumIwTKSi4nFycv5GcrIrubkzkYy9QuALfv55IiNHejJ79tckJVVQUdEB6eOXgWQFvoAE+KLM\nd3ZBlvj8kPX+25AgIli3BuuCrCh4UlgYhnWFIBudTqOgADRtClKSDBkZA9m9+2iN7ZMnt8XHZzNg\nwNd3M0895Y1CUR9qJnAR2dlZZGR0rnWmDRLt16PX22MybUIq8/RUVbVl2bIyhgxJQiL7dyGNPvZj\nTQDSsOYO6LFuIQ6SLBSPuAwPIaXC9oA3jo6d6dXrfVJSXKiu7oamhSJFSeew7P5zyy1HCA8Pqrnb\nyJF30LPnWVJSkujT51aCggIa8JtRtFSUCFyEr68fHTtu5dgxyzbfeVj89p49i3B1zWfbNusEqqLC\nnfHjO7F1678oLb0XEQwvpAHpCOBVpNlHJdZW4Rb0SOKPDkn5NeDh4YijYyLjxhUyatQQIiLsqK7u\nab6+G1Ky3BOd7jyvvBJAcHCPOncMCgpQg19xTSh34CKcnZ355z9DuOeelXTvHkdIyPt06FDGgAEr\neO+9frz++h8IDk4wX11Jx45LmDnzIGVlZUjk3gGp538ZGdihyPLho4gQWLYb28uAAWdwcZmPrB68\nC/TAYPDmgQfOMHv2CJKSDlBRUXtAOyHLhCMJC3PhsccG3OBvQ2ELqJmAmaSkgyQnn8Xf344JEwaz\nerUlJfjSOvoVK/R89VUcGRnprFvXFZPJ0uzjS6RIyJJENBYJAsYhA7g9srdgCD4++SxePJ1Tp7IZ\nPvxTjMY3gDYYjbBkyTECA1fy1lvHkRjB84AOne4bNK0N3t6bmTZN+fuKhkGJABAfv4sXX2xDQcEY\noJC0tDW8996Yy14fHh7Cyy+HMGbMYUymsbVeGY1e/wmmms7cyYgL4Is0Dc1Hcv5nUVqaxp49PxMW\n5oHR6I/EHiyEEhMzD6Nxkfn9q4FjaJoHkydnMG3aSHx8fBrq11fYOModAOLjCygosJTTerB5szdV\nVVX1vi84uBWS3WfhAsHBB9HpziLNSlsjbcAeQPIG/LF0+zUYurFtWw4+Pj44OloqAAV7+0+prByI\npAe3QYKJ3kAExcVBSgAUDYoSAcDRsbrOsbNzxWVbb9UmOjqKVq3eRQbwNpyc/s7Jk7PQtHRkhcAS\n0HNAUoJ/QbIAjwIG/P31uLm588Yb3XF2/h6d7h1cXP7G66/bU3fPQA3JGgykXbu6tioU14tyB4Bp\n07qSlhbH0aP34uFxnClTnOrU4V+OuLhkSkvfRFKAjVRURCMuQASSIVh7efA00p/wRSARvX4VvXoN\nZsuWg3z8sRE7u1H07HmEjz4aQWhoO7ZsWcj33y8FPNDp0mjXzo/+/VfywgsPXmqIQnEdKBEAOncO\n4dtvvdi79yChoQEEB3e/qveVlRmR2n9LPYARa7+AAFxd51FRMRx395/Jz2+NNQNwBCZTNYcOnWX1\naiMnTjwKwP79dxEd/TmLFweyYsUUEhN3UFRUzsiRk3B1dW3IX1mhqEG5A2bc3Ny57747CQ4OZN68\nRIYO3Uhk5Lds2PBjnesqKipISztCbm4uY8feTY8eS5EnvolOnT6mS5ez6PXzgVuorBzI6NHfs2KF\nBw4OtXfzrMTN7RQDB4ZTWOhS5/5FRZLqq9PpGD68P488MkQJgOKGYjfnSk0BG5jS0sr6L/qNuLo6\nNcj9V67cxuuv38HZs3eSmdmNHTsOEhh4HA8PV/LzDTzyyBZiYjrxxRcn8fLK5JVX+mE0riI8fDvz\n5w9D0y6QlPQ44IfJFER6uifjxxtp3fo4Bw4UYjQW4+X1CbGxd9OnTzg//riPQ4e6ILUGn1FeXsWe\nPcfo39+XVq1c6rG2cWmo77ixaG72wo2z2dX18nUkyh24iMOHS6iqaldznJXVh4kTD9C2bSZhYbv5\n8ceXAMjNvZUPPviSvLydLF/eDYMhkCNHNnHHHXpq7xFQVeXD+fOnefXVB5g06SwGQymhoc/h5+fJ\n+fPFvPvugwQGfk1c3ElOn55JVpaOdes0YDmxsarrj+LGo9yBi9Drc5AovoUDwJ3k5g7i0KG2da41\nGFxZtMgRg6EfEERKyhNkZxcRFJRovkKjT5+vGThQVgn8/QMIC7u1zsqDg4MDs2YNx9s7DGsQUcep\nU813Y1dF86JFzwTOnTvPyy//wJkz7oSGFvLOO0OvuGtyeXk5rVtrSFOQdkgOQD8siTzOzi5AKkVF\n3YFy+vY9zrZttTf00OHm5sfSpf6sXLkKR0cjzz13Py4u9U/r27cvYt8+y2qCRvv2Rb/xt1Yoro0W\nLQIzZmxjwwbpz3/ggAlHxxV88MGvT7Hz8i4wfvwmUlJGo9efxmT6BeiETmeHpoFen8uoUSYGDswn\nOXk1bdtqPPvsOCZOXM133/UAnPD23kFkZADdunVk7tyO12RrTMz9wHJOnnQnKKiYmJhB9b5HoWgI\nWrQI/PJL61pHek6dcrvste+/v4OUlChAh8nkj5NTMVOmZBAWVsrRo0cJCXHm8ccj0el0/MHc8Fe2\nMx/Dv//9NQUFOiIi2tOvX5ffZKunpwcLF6oYgKLxadEi0L59IUePWqbYJtq3N1z22vJye2rvGWAy\ntWX8eB9CQkIuuba4uJhnn00kLc0LLy8Dc+Z0on//axv87767nnXrSmjVqoKZM28nPPzSz1EoGoMW\nLQLvvHMfDg7LOXPGnY4di4iOvvxWO6NHh5CYuJWsrPuASgYN2kVw8NhfvfaNN7awfn0UoCczE157\n7XM2brx6EVi58gdefrkrFRWSO3Dy5H9JTPSvd0NXheJG0KJFwNfX66qX2e68M5ylS4+zbl0c7u4a\nzzzz0GVTh3NynKm9sJKd7UF1dTX29lf3daaklNQIAMDhw93JzDxNx463XtX7FYqGpEWLwLXSq1cY\nvXqF1Tn3zjvfsXatHjs7E08+6UxU1L306KGRmJiHpnkBGl265Fy1AAAEBoLsNCSZgAEBGfj69m2w\n30OhuBaUCFyBhIRdzJ9/BxUV7QF488199O6dzvTpQzEav2P/fj1eXqX87W/X1sv/uefuJzv7azZt\naoW7ewXPP++Lm5vKC1A0DUoErsCxY/k1AgBQVNSd1NS19OjRiRdfvLTj0NViZ2fHxx+Pa3bbZita\nJipj8Ar06xfELbfsqzkOCEhm4MBuTWiRQtHwqJnAFejXryvR0f9j1arV2NlpTJzoT0hIu/rfqFA0\nI5QI1MNDD/XjoYea2gqF4sah3AGFwsZRIqBQ2DhKBBQKG+e6RSA2Npbw8HAKCgoawh6FQtHIXJcI\nnDt3ju3btxMQoPa+UyiaK9clAtHR0cyYMaOhbLmh/O9/h3n77fWsWLEVTdOa2hyF4qbhNy8Rbty4\nET8/P8LDw+u/uIlJSNjDCy+4k5//MHp9Lmlpa3n7bVW7r1BAPSIQFRVFbm7uJeenT5/OokWLiI2N\nrTl3NU/XW25phb19/Tv7/Fa8vX89/z4hwUB+vuT3m0xt2bDBi0WLWl3VLkM3ksvZezPT3GxubvZC\n49t8RRFYsmTJr55PT08nMzOTyMhIALKzsxk9ejRxcXF4eXld9n75+aXXYeqV8fZ2v2wuvslUVufY\n3r6cvLwSdDrdr17fGFzJ3puV5mZzc7MXbpzNVxKW3+QOdOrUiR07dtQcDx48mDVr1uDp6flbbnfD\n+fOfwzhwYC0ZGUNwdz/GxIkOTSoACsXNRIOkDd/sA6p79zDWrfPihx+S6dy5HeHhqomnQmGhQURg\n06ZNDXGbG4qXVxsefPCepjZDobjpUBmDCoWNo0RAobBxlAgoFDaOEgGFwsZRIqBQ2DhKBBQKG0eJ\ngEJh4ygRUChsHCUCCoWNo0RAobBxlAgoFDaOEgGFwsZRIqBQ2DhKBBQKG0eJgEJh4ygRUChsHCUC\nCoWNo0RAobBxdJraiUOhsGnUTEChsHGUCCgUNo4SAYXCxlEioFDYOEoEFAobR4mAQmHjtDgRiI2N\nJTw8nIKCgqY2pV5iYmIYNmwYkZGRPPfccxQX35ybZyYnJxMREcHQoUNZtGhRU5tTL+fOneOxxx5j\nxIgRPPDAAyxbtqypTboqjEYjo0aN4umnn27Uz21RInDu3Dm2b99OQEBAU5tyVQwYMICEhATi4+MJ\nCQlh4cKFTW3SJRiNRt544w0WL15MQkICCQkJZGRkNLVZV8Te3p6//vWvJCQk8MUXX/DZZ5/d9DYD\nLFu2jI4dOzb657YoEYiOjmbGjBlNbcZV079/f/R6+Sfo0aMHWVlZTWzRpaSmphIcHExgYCAODg6M\nGDHipt970tvbmy5dugDg6upKx44dycnJaWKrrkxWVhZJSUk8/PDDjf7ZLUYENm7ciJ+fH+Hh4U1t\nym/iyy+/5N57721qMy4hOzsbf3//mmNfX1+ys7Ob0KJrIzMzkyNHjtC9e/emNuWKvPXWW8ycObPm\nodCYNMiuxI1FVFQUubm5l5yfPn06ixYtIjY2tubczZINfTmbn3/+eQYPHgzAggULcHBwYOTIjLYa\nxQAAAYRJREFUkY1tXr3c7NvOX4mSkhKmTp3K7NmzcXV1bWpzLsuWLVvw8vLitttuY9euXY3++c1K\nBJYsWfKr59PT08nMzCQyMhKQp9fo0aOJi4vDy8urMU28hMvZbGHNmjUkJSWxdOnSRrLo2vD19eXc\nuXM1x1lZWfj6+jahRVdHVVUVU6dOJTIykvvvv7+pzbki+/fvZ/PmzSQlJVFZWYnBYGDmzJnMmzev\ncQzQWiCDBg3S8vPzm9qMeklKStKGDx+u5eXlNbUpl6WqqkobMmSIdvr0aa2iokKLjIzUTpw40dRm\nXRGTyaTNmDFDe/PNN5valGtm165d2pQpUxr1M5vVTOBqaS5T2Llz51JVVcWECRMA6NmzJ3PmzGla\noy7C3t6eV199lYkTJ2IymRgzZkyTRLCvhZSUFOLj4+ncuTOjRo0C4IUXXuCee+5pYstuTlQpsUJh\n47SY1QGFQvHbUCKgUNg4SgQUChtHiYBCYeMoEVAobBwlAgqFjaNEQKGwcZQIKBQ2zv8DGQX2ZyAB\nD1cAAAAASUVORK5CYII=\n", + "png": "iVBORw0KGgoAAAANSUhEUgAAAQEAAAD+CAYAAAA6X7CFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nFTaRIjT5AAAAAElFTkSuQmCC\n", "text": [ - "" + "" ] } ], - "prompt_number": 54 + "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ - "We can use scikit-learn to do this quickly." + "The features can have different distributions.\n", + "\n", + "We normalize by z-score prior to applying PCA:\n", + "\n", + "* Subtract the mean, giving each feature a mean value of zero.\n", + "* Divide by standard deviation, giving each feature $\\sigma^2=1$.\n", + "\n", + "See here:\n", + "\n", + "http://stats.stackexchange.com/questions/69157/why-do-we-need-to-normalize-data-before-analysis" ] }, { "cell_type": "code", "collapsed": false, "input": [ - "# Normalize\n", "X_1=np.subtract(X,X.mean(axis=0))\n", "X_2=np.divide(X_1,X_1.std(axis=0))\n", - "sns.jointplot(X_2[:,0],X_2[:,1], kind=\"hex\")" + "sns.jointplot(X_2[:,0],X_2[:,1],xlim=(-5,5),ylim=(-4,4))" ], "language": "python", "metadata": {}, @@ -398,21 +443,32 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 58, + "prompt_number": 49, "text": [ - "" + "" ] }, { "metadata": {}, "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAaYAAAGpCAYAAADGJ5LWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nsDAREZGl/Ad8Qpphbu/6zAAAAABJRU5ErkJggg==\n", + "png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAGpCAYAAADY7qJlAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEBFJApQQQoiI9H8AM8Mr3INxkgkAAAAASUVORK5CYII=\n", "text": [ - "" + "" ] } ], - "prompt_number": 58 + "prompt_number": 49 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now, let's apply PCA.\n", + "\n", + "Basicallt, we rotate the data.\n", + "\n", + "We can see that variance is maximized on `PC1` (x-axis)." + ] }, { "cell_type": "code", @@ -422,9 +478,7 @@ "n_comp = 2\n", "pca = PCA(n_components=n_comp)\n", "X_t = pca.fit(X_2).transform(X_2)\n", - "plt.scatter(X_t[:,0],X_t[:,1])\n", - "plt.xlim([-5,5])\n", - "plt.ylim([-5,5])" + "sns.jointplot(X_t[:,0],X_t[:,1],xlim=(-5,5),ylim=(-4,4))" ], "language": "python", "metadata": {}, @@ -432,21 +486,28 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 65, + "prompt_number": 50, "text": [ - "(-5, 5)" + "" ] }, { "metadata": {}, "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAXEAAAD+CAYAAADMFjUdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n", + "png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAGpCAYAAADY7qJlAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nBCghhBARSQKUEEKIiCQBSgghRET6/zQLFEBOZQWeAAAAAElFTkSuQmCC\n", "text": [ - "" + "" ] } ], - "prompt_number": 65 + "prompt_number": 50 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The loadings are the eigenvectors." + ] }, { "cell_type": "code", @@ -462,12 +523,66 @@ "output_type": "stream", "stream": "stdout", "text": [ - "[[ 0.70710678 0.70710678]\n", - " [-0.70710678 0.70710678]]\n" + "[[-0.70710678 -0.70710678]\n", + " [ 0.70710678 -0.70710678]]\n" ] } ], - "prompt_number": 66 + "prompt_number": 10 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We know that these specify the direction of the principal components.\n", + "\n", + "We can show this below directly from the eigenvector." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "x=np.linspace(np.min(X_2[:,0]),np.max(X_2[:,0]),100)\n", + "m=loadings[0][0]/loadings[0][1] \n", + "y=m*x\n", + "plt.scatter(X_2[:,0],X_2[:,1])\n", + "plt.plot(x,y,c='k')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 48, + "text": [ + "[]" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAXEAAAD+CAYAAADMFjUdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nGCPiBoPBUIL5fwZ9mb3AjU3OAAAAAElFTkSuQmCC\n", + "text": [ + "" + ] + } + ], + "prompt_number": 48 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If the data were only varied along one dimention, then the eigenvector would point be a horizontal or vertical line.\n", + "\n", + "One feature would have a eigenvector value of zero.\n", + "\n", + "So, non-zero eigenvector values (loadings) contribute more strongly to defining the direction of the eigenvector.\n", + "\n", + "As a result, we can use this as a feature pruning trick: non-zero loadings are feature that more strongly contribute to the variance in a dataset!" + ] } ], "metadata": {} diff --git a/Intro and Philosophy.ipynb b/Intro and Philosophy.ipynb index df5fb68..74db8e9 100644 --- a/Intro and Philosophy.ipynb +++ b/Intro and Philosophy.ipynb @@ -12,15 +12,7 @@ "level": 2, "metadata": {}, "source": [ - "Intro and Philosophy -" - ] - }, - { - "cell_type": "heading", - "level": 3, - "metadata": {}, - "source": [ - "Lance Martin" + "Machine learning intro" ] }, { @@ -39,7 +31,7 @@ "\n", "I wanted to published them so that others could benefit.\n", "\n", - "They draw from two sources:\n", + "They draw from sources:\n", "\n", "* CS229, an excellent machine learning class at Stanford taught by Andrew Ng.\n", "* An Introduction to Statistical Learning (ISL), an excellent text by G. James, D. Witten, T. Hastie and R. Tibshirani (Springer, 2013).\n", diff --git a/Naive Bayes.ipynb b/Naive Bayes.ipynb index 91a0826..1d62a1e 100644 --- a/Naive Bayes.ipynb +++ b/Naive Bayes.ipynb @@ -12,15 +12,7 @@ "level": 2, "metadata": {}, "source": [ - "Naive Bayes - " - ] - }, - { - "cell_type": "heading", - "level": 3, - "metadata": {}, - "source": [ - "Lance Martin" + "Naive Bayes" ] }, { @@ -39,12 +31,10 @@ "\n", "I wanted to published them so that others could benefit.\n", "\n", - "They draw from two sources:\n", + "They draw from:\n", "\n", "* CS229, an excellent machine learning class at Stanford taught by Andrew Ng.\n", - "* An Introduction to Statistical Learning (ISL), an excellent text by G. James, D. Witten, T. Hastie and R. Tibshirani (Springer, 2013).\n", - "\n", - "Some of the figures are taken from ISL with permission from the authors." + "* http://nbviewer.ipython.org/github/gmonce/scikit-learn-book/blob/master/Chapter%202%20-%20Supervised%20Learning%20-%20Text%20Classification%20with%20Naive%20Bayes.ipynb\n" ] }, { @@ -186,7 +176,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Furthermore, in CS229 weshowed that we can compute the joint likelihood, which is the product of predicted value for our class. \n", + "Furthermore, in CS229 we showed that we can compute the joint likelihood, which is the product of predicted value for our class. \n", "\n", "We can take the derivitive, set it to zero (to find the maximum), and then find the expected parameters.\n", "\n", @@ -217,6 +207,13 @@ "outputs": [], "prompt_number": 1 }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's pull some news group data." + ] + }, { "cell_type": "code", "collapsed": false, @@ -226,26 +223,387 @@ ], "language": "python", "metadata": {}, + "outputs": [], + "prompt_number": 2 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "news.keys()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 7, + "text": [ + "['DESCR', 'data', 'target', 'target_names', 'filenames']" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "A post." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "print news.data[0]" + ], + "language": "python", + "metadata": {}, "outputs": [ { "output_type": "stream", - "stream": "stderr", + "stream": "stdout", "text": [ - "No handlers could be found for logger \"sklearn.datasets.twenty_newsgroups\"\n" + "From: Mamatha Devineni Ratnam \n", + "Subject: Pens fans reactions\n", + "Organization: Post Office, Carnegie Mellon, Pittsburgh, PA\n", + "Lines: 12\n", + "NNTP-Posting-Host: po4.andrew.cmu.edu\n", + "\n", + "\n", + "\n", + "I am sure some bashers of Pens fans are pretty confused about the lack\n", + "of any kind of posts about the recent Pens massacre of the Devils. Actually,\n", + "I am bit puzzled too and a bit relieved. However, I am going to put an end\n", + "to non-PIttsburghers' relief with a bit of praise for the Pens. Man, they\n", + "are killing those Devils worse than I thought. Jagr just showed you why\n", + "he is much better than his regular season stats. He is also a lot\n", + "fo fun to watch in the playoffs. Bowman should let JAgr have a lot of\n", + "fun in the next couple of games since the Pens are going to beat the pulp out of Jersey anyway. I was very disappointed not to see the Islanders lose the final\n", + "regular season game. PENS RULE!!!\n", + "\n", + "\n" ] } ], - "prompt_number": 2 + "prompt_number": 8 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Category for the post." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "print news.target[0]" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "10\n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "news.target_names[news.target[0]]" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 10, + "text": [ + "'rec.sport.hockey'" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "So, first split the data." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "P = 0.8\n", + "split_size = int(len(news.data)*P)\n", + "X_train = news.data[:split_size]\n", + "X_test = news.data[split_size:]\n", + "y_train = news.target[:split_size]\n", + "y_test = news.target[split_size:]" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 12 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now, recall that we want to run cross-validation on our data.\n", + "\n", + "A model is trained using $k-1$ of the folds as training data.\n", + "\n", + "The resulting model is validated on the remaining part of the data.\n", + "\n", + "It is used as a test set to compute a performance measure such as accuracy.\n", + "\n", + "The simplest way to use cross-validation is to call the cross_val_score helper function on the estimator and the dataset:\n", + "\n", + "http://scikit-learn.org/stable/modules/cross_validation.html" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from sklearn.cross_validation import cross_val_score, KFold\n", + "from scipy.stats import sem\n", + "\n", + "def evaluate_cross_validation(clf, X, y, K):\n", + " # K-fold cross validation iterator of k=5 folds\n", + " cv = KFold(len(y), K, shuffle=True, random_state=0)\n", + " # Score used is the one returned by score method of the estimator (accuracy)\n", + " scores = cross_val_score(clf, X, y, cv=cv)\n", + " print scores\n", + " print (\"Mean score: {0:.3f} (+/-{1:.3f})\").format(np.mean(scores), sem(scores))" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 20 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "OK, let's build a pipeline for this.\n", + "\n", + "Recall that we have to convert works into token counts: \n", + "\n", + "* The algorithms can work only on numeric data, so our next step will be to convert our text-based dataset to a numeric dataset.\n", + "* We use `CountVectorizer()`\n", + "\n", + "`CountVectorizer` creates a dictionary of words from the text corpus. \n", + "\n", + "Then, each instance is converted to a vector of numeric features where each element will be the count of the number of times a particular word appears in the document. " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from sklearn.naive_bayes import MultinomialNB\n", + "from sklearn.pipeline import Pipeline\n", + "from sklearn.feature_extraction.text import CountVectorizer\n", + "\n", + "clf_1 = Pipeline([\n", + " ('vect', CountVectorizer()),\n", + " ('clf', MultinomialNB()),\n", + "])" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 16 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's run the pipeline." + ] }, { "cell_type": "code", "collapsed": false, "input": [ - "# FINISH THESE NOTES # " + "evaluate_cross_validation(clf_1,news.data,news.target,5)" ], "language": "python", "metadata": {}, - "outputs": [] + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "[ 0.85782493 0.85725657 0.84664367 0.85911382 0.8458477 ]\n", + "Mean score: 0.853 (+/-0.003)\n" + ] + } + ], + "prompt_number": 21 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can then tune the model.\n", + "\n", + "There's some nice points in this notebook:\n", + "\n", + "http://nbviewer.ipython.org/github/gmonce/scikit-learn-book/blob/master/Chapter%202%20-%20Supervised%20Learning%20-%20Text%20Classification%20with%20Naive%20Bayes.ipynb" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from sklearn import metrics\n", + "\n", + "def train_and_evaluate(clf, X_train, X_test, y_train, y_test):\n", + " \n", + " clf.fit(X_train, y_train)\n", + " \n", + " print \"Accuracy on training set:\"\n", + " print clf.score(X_train, y_train)\n", + " print \"Accuracy on testing set:\"\n", + " print clf.score(X_test, y_test)\n", + " \n", + " y_pred = clf.predict(X_test)\n", + " \n", + " print \"Classification Report:\"\n", + " print metrics.classification_report(y_test, y_pred)\n", + " print \"Confusion Matrix:\"\n", + " print metrics.confusion_matrix(y_test, y_pred)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 22 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "train_and_evaluate(clf_1, X_train, X_test, y_train, y_test)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Accuracy on training set:\n", + "0.926638365614" + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "Accuracy on testing set:\n", + "0.844827586207" + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "Classification Report:" + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " precision recall f1-score support\n", + "\n", + " 0 0.89 0.86 0.88 175\n", + " 1 0.62 0.86 0.72 199\n", + " 2 0.93 0.13 0.22 221\n", + " 3 0.59 0.85 0.70 179\n", + " 4 0.88 0.88 0.88 177\n", + " 5 0.78 0.91 0.84 179\n", + " 6 0.88 0.68 0.77 205\n", + " 7 0.89 0.89 0.89 228\n", + " 8 0.94 0.94 0.94 183\n", + " 9 0.96 0.93 0.95 197\n", + " 10 0.96 0.99 0.98 204\n", + " 11 0.90 0.99 0.94 218\n", + " 12 0.87 0.88 0.87 172\n", + " 13 0.91 0.90 0.91 200\n", + " 14 0.93 0.94 0.93 198\n", + " 15 0.81 0.95 0.87 191\n", + " 16 0.80 0.95 0.87 173\n", + " 17 0.90 0.99 0.94 184\n", + " 18 0.83 0.84 0.84 172\n", + " 19 0.94 0.54 0.69 115\n", + "\n", + "avg / total 0.86 0.84 0.83 3770\n", + "\n", + "Confusion Matrix:\n", + "[[151 1 0 0 0 0 0 0 0 0 1 0 1 1 0 14 1 2\n", + " 1 2]\n", + " [ 0 171 0 6 0 7 4 0 0 1 0 3 0 1 1 0 1 0\n", + " 4 0]\n", + " [ 0 53 28 76 10 32 0 2 1 2 0 6 2 0 1 2 0 0\n", + " 5 1]\n", + " [ 0 6 1 152 3 5 3 0 0 1 0 3 3 0 1 0 1 0\n", + " 0 0]\n", + " [ 0 6 0 5 155 1 2 0 0 0 0 3 4 1 0 0 0 0\n", + " 0 0]\n", + " [ 0 13 0 1 1 163 0 1 0 0 0 0 0 0 0 0 0 0\n", + " 0 0]\n", + " [ 0 8 0 9 4 0 139 15 1 1 2 4 7 3 1 1 4 3\n", + " 3 0]\n", + " [ 1 1 0 1 0 1 5 202 2 1 0 0 2 2 0 0 4 1\n", + " 5 0]\n", + " [ 0 0 0 1 0 0 2 2 172 0 0 1 0 1 1 0 1 1\n", + " 1 0]\n", + " [ 0 0 0 0 1 0 0 2 3 183 3 0 2 1 0 1 0 1\n", + " 0 0]\n", + " [ 0 1 0 0 0 0 0 0 0 0 202 0 0 0 0 0 0 0\n", + " 1 0]\n", + " [ 0 0 0 0 0 0 0 0 0 0 0 215 0 0 0 0 1 1\n", + " 1 0]\n", + " [ 0 5 0 2 2 0 0 0 0 0 1 1 151 3 6 0 0 0\n", + " 1 0]\n", + " [ 0 2 0 0 0 0 0 1 1 0 1 0 2 180 3 4 4 1\n", + " 1 0]\n", + " [ 0 6 0 0 0 0 2 0 0 0 0 0 0 1 186 0 1 1\n", + " 1 0]\n", + " [ 1 1 0 3 0 0 0 1 0 0 0 1 0 1 0 182 0 1\n", + " 0 0]\n", + " [ 0 0 1 0 0 0 1 0 2 0 0 2 0 0 0 0 164 2\n", + " 1 0]\n", + " [ 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 182\n", + " 1 0]\n", + " [ 1 0 0 1 0 0 0 1 1 0 0 1 0 1 0 2 13 5\n", + " 145 1]\n", + " [ 15 0 0 0 0 1 0 0 0 1 0 0 0 1 1 19 10 1\n", + " 4 62]]\n" + ] + } + ], + "prompt_number": 23 } ], "metadata": {} diff --git a/Probability.ipynb b/Probability.ipynb index 07b9095..8884ca0 100644 --- a/Probability.ipynb +++ b/Probability.ipynb @@ -9,20 +9,12 @@ "cells": [ { "cell_type": "heading", - "level": 3, + "level": 2, "metadata": {}, "source": [ "Probability" ] }, - { - "cell_type": "heading", - "level": 3, - "metadata": {}, - "source": [ - "Lance Martin" - ] - }, { "cell_type": "heading", "level": 4, @@ -45,6 +37,7 @@ "* An Introduction to Statistical Learning (ISL), an excellent text by G. James, D. Witten, T. Hastie and R. Tibshirani (Springer, 2013).\n", "* A pretty good, free online textbook: http://www.statsoft.com/Textbook/Experimental-Design\n", "* Another textbook (actually on Deep Learning, but with some probability): http://www.iro.umontreal.ca/~bengioy/dlbook/prob.html\n", + "* http://nbviewer.ipython.org/gist/fonnesbeck/5850483\n", "\n", "Some of the figures are taken from ISL with permission from the authors." ] @@ -205,9 +198,9 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 39, + "prompt_number": 1, "text": [ - "" + "" ] }, { @@ -215,11 +208,11 @@ "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAALkAAACQCAYAAABUDsqiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nA6cQQ3POmtuGAAAAAElFTkSuQmCC\n", "text": [ - "" + "" ] } ], - "prompt_number": 39 + "prompt_number": 1 }, { "cell_type": "heading", @@ -701,7 +694,7 @@ "level": 4, "metadata": {}, "source": [ - "Method of moments - " + "Method of moments and Maximum likelihood - " ] }, { @@ -739,169 +732,13 @@ ] }, { - "cell_type": "code", - "collapsed": false, - "input": [ - "v=np.random.gamma(3,1,1000)\n", - "plt.hist(v,50,normed=True)\n", - "plt.show()" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAXsAAAEACAYAAABS29YJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAcg7AHAAQh7AHCA/wcoMe1v55ZFwwAAAABJRU5ErkJggg==\n", - "text": [ - "" - ] - } - ], - "prompt_number": 50 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "a=(v.mean()**2)/(v.var()**2)\n", - "b=v.var()**2/v.mean()" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 55 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from scipy.stats.distributions import gamma\n", - "plt.hist(v,50,normed=True)\n", - "plt.plot(np.linspace(0,10),gamma.pdf(np.linspace(0,10),a,b))" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "pyout", - "prompt_number": 62, - "text": [ - "[]" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAXUAAAEACAYAAABMEua6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhjoRUQBhqBMRBZD/D4Kl0mKvEZDlAAAAAElFTkSuQmCC\n", - "text": [ - "" - ] - } - ], - "prompt_number": 62 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "a" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "pyout", - "prompt_number": 57, - "text": [ - "0.91528198059541721" - ] - } - ], - "prompt_number": 57 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "b" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "pyout", - "prompt_number": 58, - "text": [ - "3.2832893663636304" - ] - } - ], - "prompt_number": 58 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "c=gamma.pdf(np.linspace(0,12),a,b)\n", - "np.max(c)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "pyout", - "prompt_number": 63, - "text": [ - "0.96375665149116785" - ] - } - ], - "prompt_number": 63 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "np.linspace(0,10)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "pyout", - "prompt_number": 61, - "text": [ - "array([ 0. , 0.20408163, 0.40816327, 0.6122449 ,\n", - " 0.81632653, 1.02040816, 1.2244898 , 1.42857143,\n", - " 1.63265306, 1.83673469, 2.04081633, 2.24489796,\n", - " 2.44897959, 2.65306122, 2.85714286, 3.06122449,\n", - " 3.26530612, 3.46938776, 3.67346939, 3.87755102,\n", - " 4.08163265, 4.28571429, 4.48979592, 4.69387755,\n", - " 4.89795918, 5.10204082, 5.30612245, 5.51020408,\n", - " 5.71428571, 5.91836735, 6.12244898, 6.32653061,\n", - " 6.53061224, 6.73469388, 6.93877551, 7.14285714,\n", - " 7.34693878, 7.55102041, 7.75510204, 7.95918367,\n", - " 8.16326531, 8.36734694, 8.57142857, 8.7755102 ,\n", - " 8.97959184, 9.18367347, 9.3877551 , 9.59183673,\n", - " 9.79591837, 10. ])" - ] - } - ], - "prompt_number": 61 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [], - "language": "python", + "cell_type": "markdown", "metadata": {}, - "outputs": [] + "source": [ + "This notebook has a nice review of both:\n", + " \n", + "http://nbviewer.ipython.org/gist/fonnesbeck/5850483" + ] } ], "metadata": {} diff --git a/SVMs.ipynb b/SVMs.ipynb index 5517e55..a30c76a 100644 --- a/SVMs.ipynb +++ b/SVMs.ipynb @@ -12,15 +12,31 @@ "level": 2, "metadata": {}, "source": [ - "SVMs - " + "SVMs" ] }, { "cell_type": "heading", - "level": 3, + "level": 4, "metadata": {}, "source": [ - "Lance Martin" + "Preface - " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "These are notes I wrote for myself while studying for PhD qualifying exams at Stanford. \n", + "\n", + "I wanted to published them so that others could benefit.\n", + "\n", + "They draw from two sources:\n", + "\n", + "* CS229, an excellent machine learning class at Stanford taught by Andrew Ng.\n", + "* An Introduction to Statistical Learning (ISL), an excellent text by G. James, D. Witten, T. Hastie and R. Tibshirani (Springer, 2013).\n", + "\n", + "Some of the figures are taken from ISL with permission from the authors." ] }, { @@ -808,6 +824,136 @@ "* Seperate two classes that are represented in a 2D space as concentric circles.\n", "* Define $\\phi$ as a mapping that will transform x,y into a (higher) dimentional space in which the classes are seperated." ] + }, + { + "cell_type": "heading", + "level": 4, + "metadata": {}, + "source": [ + "Implementation - " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "So, in short:\n", + " \n", + "* SVM constructs a hyper-plan in a (high) dimensional space.\n", + "* This cuts the training data.\n", + "* It can be used for classification, regression.\n", + "* A good separation is achieved by the hyper-plane that has the largest distance to the nearest training data points of any class (functional margin)\n" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import os\n", + "from IPython.display import Image\n", + "i = Image(filename=os.getcwd()+'/Images/svm.png') # from the ISL text.\n", + "i" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "png": "iVBORw0KGgoAAAANSUhEUgAAAyAAAAJYCAIAAAAVFBUnAAAAA3NCSVQICAjb4U/gAAAACXBIWXMA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\nAQsAAICABQAAAAIWAAAAAQsAAEAO/w+aplmPUuc/JQAAAABJRU5ErkJggg==\n", + "prompt_number": 1, + "text": [ + "" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from sklearn import svm, datasets\n", + "%matplotlib inline\n", + "\n", + "# Training data\n", + "iris = datasets.load_iris()\n", + "X = iris.data[:, :2] # we only take the first two features\n", + "y = iris.target" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 7 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Linear and Polynomial kernels.\n", + "\n", + "For example, the polynomial and RBF are especially useful when the data-points are not linearly separable.\n", + "\n", + "http://scikit-learn.org/stable/auto_examples/svm/plot_svm_kernels.html" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# We create an instance of SVM and fit out data. We do not scale our data since we want to plot the support vectors\n", + "C = 1.0 # SVM regularization parameter\n", + "clf_1 = svm.SVC(kernel='linear', C=C).fit(X, y)\n", + "clf_2 = svm.SVC(kernel='poly', C=C).fit(X, y)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 12 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "for i,clf in enumerate([clf_1,clf_2]):\n", + " \n", + " # Step size in the mesh\n", + " h = .02 \n", + " \n", + " # create a mesh to plot in (test data)\n", + " x_min, x_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n", + " y_min, y_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n", + " xx, yy = np.meshgrid(np.arange(x_min, x_max, h),\n", + " np.arange(y_min, y_max, h))\n", + " \n", + " # Class prediction\n", + " plt.subplot(1,2,i+1)\n", + " Z = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n", + " Z = Z.reshape(xx.shape)\n", + " plt.contourf(xx, yy, Z, cmap=plt.cm.Paired, alpha=0.8)\n", + " plt.scatter(X[:, 0], X[:, 1], c=y, cmap=plt.cm.Paired)\n", + " plt.xlabel('Sepal length')\n", + " plt.ylabel('Sepal width')\n", + " plt.xlim(xx.min(), xx.max())\n", + " plt.ylim(yy.min(), yy.max())\n", + " plt.xticks(())\n", + " plt.yticks(())" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAWwAAAD8CAYAAABTjp5OAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsnXd0VNUWh7/pM+m9F5KQQIDQDb036SKgiIqigoDYQAUb\nT0HBroBPAfGJnSLSe+9Nei+hpZBeJpPpM/f9MSa0kFASQpL7rZW1CLn3nDOTPTv77nP2b0sEQRAQ\nEREREXngkVb0AkREREREbg/RYYuIiIhUEkSHLSIiIlJJEB22iIiISCVBdNgiIiIilQTRYYuIiIhU\nFoRyIii2iQCIX+JXuXy1a9euvExXtG3xq0K/SrJtiSCUzzlsiUTCy3MPlsfQIveB5+TzAAiM8q3g\nlRRPQKOxlJPplopo21WLEXNG4+cZDkBS/7AKt/mSbFtMiYjcRIPa24AH11mLiJQVI+aMRoIEgFmm\nlhW8mtIRHbbITTQ5l1LRSxARKXcKAxNfzzAAegxOeuCDFHlFL0DkweRBN1wRkXshSphBi/HHkEsU\ngCMV8m+g/UAjOmyR64gSZgCeFb0MEZFypcvPx4ry1oUERj74QYqYEhG5jnYKz0oRaYiI3C2OoOQq\nlSW6BtFhi1zDiDmjgcoRaYiI3C3XRtduXW1A5bF50WGLFGF+oQ1IKkmoISJyFxQGJYWccI2oVDYv\nOmwR4Nro2qeCVyIiUr4URtfmziFA5bJ50WGLABDe36+ilyAiUq7cGF2nu0srVXQNosMW+ZeznrWQ\nyBUVvQwRkXKh0FlX5ugaRIctAozT/QFAQLhHBa9ERKT8uPYYX7q7tFIGKKLDFiHDQyYWyohUWa4t\nP4erJeiVMUARHXY1J2D+jopegohIuXFj+TlUjhL0WyE67GpOZTZeEZHSaDF+XlH5OVQOgaeSEB22\niIhIlaQwuvbyCCr6v8oeoIgOuxpTqHktIlIVuTG6rkwl6LdCdNjVnMocbYiI3IpCvZBro2uoPCXo\nt0J02NUUMboWqapECTOKVeOr7NE1iA67WiJ2lBGpyhTnrJP6h93i6sqF6LCrIWJHGZGqyo3l51D5\nFPlKQnTY1RQxuhapqtwYXVc2Rb6SEB12NeNG8XYRkapCydF15dIMuRWiw65miB1lRKoyVTm6BtFh\nVyvEjjIiVZUb9UKg8irylYTosKsRYkcZkapIcXohUHkV+UpCdNjVhCn5E4GqFW2IiMDNFY1wNbqu\njIp8JSE67GrC1FWdqly0ISJSmOa7saKxKkbXIDrsakOPwUkVvQQRkTKl8MTTjRuNlVnvujREh10N\nEDvKiFRFii0/p/Ir8pWE6LCrAWJHGZGqRnWtJxAddhVH7CgjUhW5VXRd2RsUlIbosKs4VfnxUKR6\nUlxFYyFV3d5Fh12Fqa6PjSJVn+Ki66rQoKA0RIddhWmn8KzoJYiIlCklRddQ9at4RYddxanKj4ci\n1ZPqGl2D6LCrLGJHGZGqRnF6IVC19K5LQ3TYVRCxo4xIVeVGvRCATHt4tdHIkVf0AkTKHrGjjEhV\nokHtbbQYP6/Y6Br+LUOXVQ9XVj1eZTVEjK5FqgqF4k436oXA1XRIdaniFVMiVQzxKJ9IVaIwvVec\ns4aq16CgNESHXcUQO8qIVCWKk04tpCo2KCgN0WFXIcSOMiJVicKnxVtF11VVQrUkRIddhRA7yohU\nJW6lF3It1SV3XYjosKsIYkcZkapEaXsx5s4h1TL1JzrscsJqNpKdlIBBm3Nf5jvrWavaPR6KVAz6\n3CyykxKwWczlNkdp0bXjKF/1s3fxWF85kJZwnFVfjUHj5Iw2O5P4gSNo8PDgcp+3uj0eitx/9v41\nk8OrfsfV0xuL2ULPcdPwCo4s0zlK0wuZZWpJD5Kqpb2LEXYZIwgCa6a+xfPjJ/HNkq18vmA9h5f/\nQsaFU+U2Z2FHGRGR8iTx2F4Sdq3km6XbmLp0G/2HjWbDd++Vy1wlRddVXUK1JESHXcZYDAXotTnE\nd+oBgHdAELUaxZOVeK7c5hQ7yojcD7Iun6Nhy/a4eXoD0KbXANIvnkUQhDKb41Z6IYUUHuWrrogO\nu4xRaJxRqp04tmc7ANqcbM4e2Y9H4M0aCGWB2FFG5H7hERjK8X92YSjQAXBg63q8gsKQlPHJpOL0\nQgqZsyKsWp+EEnPYZYxEIqHry1OYOv4l/ENrkJ58iTod+xMQXb9c5qvOj4ci95fwhq1JPLyT1x9p\nh3dgMBnJifR445syG7+06Br+tfdqXGcgOuxyIKTuQzzx+V9kJ5/H2cMHj8CSz5LeLVPyJ3LWs1a5\njC0iciMSiYQ2z46jbpeBGLS5+IRFo3J2LZOxC0vQS4quq4vmdUmIDruc0Lh5EuzWpFznOOtZq1o/\nHopUDF7BkRBctmOWVIJ+LdU5ugYxh13pEQtlRCo7pQk8iVxFdNiVFLGjjEhVoFDrurToWkyHOBAd\ndiVE7CgjUlUobExQUnRdnVqAlYaYw75HTmxewu650zHpdUQ2bkuH4RNQOrmU65xiRxmR8sZs1LN5\n1kQS/tmMysmFZo+Nom7HR8t0jkK9kJI2GqH6aV6XhBhh3wPJJ/7hn7++5/0ZfzJzwyF8vdzYOueT\n+zK3GF2LlCfb53yKp6uaGesPMmHWXA4unk3isb1lOsftqPEVIu7VOBAd9j2QeHwfHfo+TlhMLBpn\nFwaNfoukMjbqGxE7yojcDxKP7WXQ6LdwcnEltGZtOvZ7okxtuzS9kEIK0yEiDkSHfQ9oXD24fO5U\nUWluYsJpNK7lK0gjdpQRuR9oXD1IPHcacOjjXD53GnUZ2/btRNdiOuR6xBz2PVCn/SMs3racyaOe\nwi8kjL3rV9B51MflNt+IOaMxv9BG3HwRKXdaDH6NGR+MJb5jDzJTk0lPTeWRp98pk7HvNLoW0yFX\nER12CQiCwNE1czm2fgEIArEd+tGw59NF2gkKtYZ+//mRs7vWYtbreGTC7DKXmrwWsaOMSFlhyM9l\n209TSD17FBdvf1o/8xZ+EbFFPw+Na8YjE34k8ehu/ANiaNWsCwq1pszmv53oOtMeLj5N3oDosEvg\n9LYVnNr4F69/Mh2pVMa3772KQu1Mvc79i66RK9XEtutT7mspLEMXow2RsmDt1LeIqVOHEeMncPrg\nXn777GUemzIXZ4+r9uUVHIFXcESZzns7eiGFpLtLET329Yg57BK4dGAzA0eOIbJOA2rUrscTL4/j\n0oHNFbIWsaOMSFlh1utIPXecZ9+aiH9IOG17D6RmXGOunDp4X+Yv7RgfVM+O6LeD6LBLQK5yIiv1\n6pnnzNQUFCqnCltPdeywIVL2yBRK7HYb2uxMAOx2OznpqSjU5WvbdxJdA2L6rxjElEgJNOz1DEs+\nGk5uZgYyuYyNi+fRZ/x3930d43R/kOEhu+/zilRNZAolTfsO5cNhj9Gu56OcOvQPglxNSL34cpvz\ndtT4rsXRs1F0TzciviMl4B0axaMf/sTpbSsRsNNvwo93nNPLS09m959T0WWl4hdZl2aDXkZ5h5GM\n2FFGpKx5qP+LeIXFkHDuCB4x8bTu9CiyO0y5ndm5mhMb/gKgTqcBxLR8+JbX3q4aH1xNh4hPlDcj\nOuxS8AgIo9nAEXd1r6kgnyUfDafbwKeo07QFq+fOYd308fR8c9ptjxEwfweUf/9ekWpI1EMdiHqo\nw13de27PevbOm84L70wGYPbkd5DK5NRs1vmma+9GjU/cryke0WGXI8kn9xMUHskjz78MQGSdBgzr\nEIdRp0Xt4nZbY4gdZUQeRM7tWMWTr75NozadAHjy1bdZs3hRsQ77TqJr+DcdUmYrrVqIm47liEyu\nwKgvKKqENJuM2G02pPLb+zspSqiKPKhIZXIMBQVF3xsKCoq160IphduNrmeZWgJiOuRWiBF2ORJc\npyl7F3zH9xPGUKdJMzYunkds2953lMMWo2uRB5F63QYx9+uxGA0Op734x295+PUvb7ruTgSeChHT\nIbdGdNh3gS47gzVT38CozcHJw5fuY79E7XJzRCBXquj77kwOLv+Z7Vu2EtykM3FdBlbAikVEbo8T\nm5dwePnPCHY74U070mrwK8VeF1S7ET3emMqRLUsA6PHmNAJq1rvumrsRKusxOImAcDFIuRWiw75D\nrGYj898eRIMWbYjv9BLbli9k3rjHeXr6KqTSmzNMSicXmj320h3PI6ZDRO43p7avZPucTxn0yjs4\nubjy29eTsJoNtHt2XLHXB0THERAdd8vx7ia6FikZMYd9h5zbswGVWsWoj6YR36kHr30+E5vFTNKx\nPWU2h9hRRqQiOLziV/oNe5Vug56lTa/+jJz4NRf3bbyrsW5X4OlaCvPXIrdGdNh3iGC3I5XKigSg\nJBIJEqkEwS6U2RxiRxmRikFAKrtaoCWVSkG4e7u+0+haPBFVOmJK5A6JataZXb9/zQ8T3yK+cw+2\nLf8LiURGaBlViTnyfp6i4Yrcd+p1GcTCmZ/j7OaBs6sbcz59n5AGre94nLuJrgFR5+k2EB12MaQl\nnGD11LcQrBa8wqLpM/7bop8p1Rr6T/qVNVPf4NCuLajdvBk45c/rjjQJgsDpbStIO3sEJw8fGvR4\nEqXG+bbm7vLzMYeM6gNKanoes//YijbfQNf2cXRuE4sgCCxYvp+9BxIIDPDgxafa4eKsruilihTD\ntl++IGH3WpBIiR84kjrt+xb9rG7HR7CajSycNQ1BsBPWpAPtho6/7n5Dfi5HVv2BMT+X4HrxxZ67\nhjuPrpP6317JenmyaecpVm04gpurhucHtyXQz53s3AJm/b6FzMx82reKpVfn+hW6Rokg3MMzT0kD\nSyS8PPf+qH+VJTkpl1jw7mDiO3Unsk4DVvw6E0GqZPCXf9/2GLvmTif12C46PTqYM0f2c+HMafp9\n8D/kytKd2HPyeSB5MDtEZ2Tl0+XxL3jIV4mfRs7y81rGv9aHhIvprFq5j05hLpzJNZMhUbL819fR\nqMvveFZAo7GUk+mWSmW17XX/fZ+L+zfRb9hrFGhzWfXHj7R55i3qdux3W/eb9Pn89d4Q6se3IDwm\nllV//kRMu0do1GtI0TWFAk+3qxlSSFL/sAp9qpy/7B8++mIRvaPcyDTa2J1mZOGPo3nqpVnUcoYw\nNwWrL+gY+nQHRj3bsVzXUpJtixH2DWz8YRI16zVi5MRvAGjctjNjHmmHzWZDJitdgMlmtXBoxW98\nu3ovbp7edH38GT54rj+Xj+wismnJZcAPekeZ+cv/ob6Xghca+QFQy0fD1zNWk5qlY3bvSNzVcnoI\nAu9vu8KWXad5uEO9UkYUuZ8kHdnBiA+/Jr5TdwBkcjnrF864bYedsGcD4dExDJ/wGQANWrbn3ad7\nFznsOxV4epD4ZsZqxsT7EevrqJEw7k9n8vQVBKlgVFN/AJoEujBu9vpyd9glIW463oDNYsLN06vo\nexd3TwS7DWy31wzUbrMC4OTiCjiiMRd3T6xmU6n3PugdZYwmCy6KqybjppJhNP/7ehWOP2YSiQRX\nlQyjyVIhaxS5NQICrh5X6wVcPbzgDh5SrBYzru6eRd+7eDjsujAavNMS9ELcutoqPH9tslhxVV0N\nyFwVEozG6+3dVSXDZLZW2JMdiA77Jhr1fob9W9axafFcLpw8yrTxo9C4eSBTKm/rfoVKQ3jDlnz/\nn7FcOHmUtfN+5uzRA4TUeajE+6bkTwQebMH27u3rsfGyju2XtZzNMvDdwUz6PdyYtvHRfLs/nYRs\nIyvP5nAmy0Srh2pW9HJFbsDJ058fJo3j9KF9HNy+kb9mfElIw9s/ShfesBX/bFnL1mULuHDyKN+9\n/zoxLbshkUjuSuCpkBOuZdvV5m54pHtjvj+YyZksAzsua1l/Ucezj7diX4qOjefzSMg2Mu2fdPp0\naVB0QqwiEHPYxbB7wfecWDcPwS4gVSgZ+PFvuHj5k3L6EEnH9qJ2cUOu0pCfmYp3aBRR8Z2u+yWa\njXp2/f4NqWcP4+zpS4vBr+MdGlXinM/J5yGRKx54DYWd/yQwZepS8vONdOsYx5ujumMyW/nP54vY\ne+A8gX7ufDi+P7WjAsp1HWIO+86x2Wz8+eYAzPk5AHhF1OWRd/6LzWrh1Nbl6LLT8QgMoyAnA5vF\nQlR8h5t6lKYlHGfP3GmOTce68TR7fDRypYoRc0Yjlyju2GG7dbVxwjWiwk9FWa02vpq5hpXrDuPi\nombcyz1p0yyGg8cvM/HzxWTn6mjbvDbvvt4btap8S+dLsm3RYd+AzWJm8UfD8fHxpkatOmxd9heN\n+w1HrlSx+8+ptOszkMunT3Du+EHaPzKIQ9s341erMa2HvHlP8z4nn1fhRluZEB32nXPlzGFWffk6\nbXr2R6/TcmjnVvp98D+2/vgxKqlArQZN2LJ0Ht4BQUTXb8q2FQvpPvZrAmMalDhulDDjrqsazZ1D\nSPeQPdBPlvebe9p0NBqNLFy4kIsXL2K1OvKVEomECRMmlO0qHxAS9m7A1dmJcdPmIJFIaN2jH/95\nth9ylYZxU38isk59BEHgs5eHEBweRb/nXuaVXq1o2HMILt7+dzWn2FGmYqhutv3PwpkMGfsf2vRy\nNJH+7atJ7Pj1Syy6HCb9sRKpTEaXx57m9b5t+M+PC4moXY9VC2fS++2SuyzdSwm6o9GuyO1SqsPu\n27cvHh4eNGnSBLW66p+tNRXk4x8SVpTi8AsOw2w0YLNa8Atx7H5LJBL8Q2ug1+Xj5OqGi4cnJr3u\nrh222FGmYqhutm3W5+MfetWx+oeGc/TQQXwDQ4oqHD18/JFKZZiNRvxDwzHr80sc824Enm5EjK5v\nn1IddnJyMmvWrLkfa3kgCKkXz6IPZ3BoxybCY2KZ/92X1GjYEplSxZxP/8OTr71N0vmz7Fi1iNc+\nn8nyX2ZitdnxCAi9q/nEjjIVR3Wz7dAGrflj6hRGTvwKfb6WZT/PoH6voeyZ9y171q8gpkFTlv38\nPYHhkeTn5fD71MmENSy50vFeomu3rrd38krkKqU67JYtW3LkyBHq16/YCp+7JePiadLOHcPZ05ca\njVojKUZRr5DUs0fIvHSG+j2f5qfPJ6LPyyakblM6jZyERCJh609TeOvxh1E5OaN28+brN0fiE1aT\nXm9NR6a4vVMkDWpvQ3fyOAkSR9uxitRP2H/kEsfPpFAjxJs2zaIrdPe7IqjMtm23WbmwfysGbQ5B\nsY1u2hy8FqvZxIX9W9B4eFPgHcKEoY7+jQ17PUPdjv3wColk7oxP0WWl4ertj16bw4ShjxLT8mGa\nPPJ8ub2GTHt4uRxjNZosrNlyHJ3OSOv4aMJDvMt8jorilpuOcXEO2USbzcbZs2eJiIhApVI5bpJI\nOHLkSMkDPwAbM6e2Lmf3n1Np2LojF04exdk/nC6jJxfrmA6u+JVjq/+gfot2nD60j8C6zWjzzFtl\nvqZCnYUZz35bJKFaEQ77+5838v3/NtAw0JlTmQY6d2zA5HcG3Pd13C33sulY2W3bbrOy8ovXwFRA\ncGQ0B7dvoMOwCUQ0aXfTtRaTgSUfDcfN1QXvgCAO79jEw69/SVDtRve8jkJbvtsI29w5hAxvVZme\njNIbzPQbOg0KCvDRyNl/pYCfp71As0a3/oP2oHFXm47Lli0DHMZ5482VIRKz221s/ekTJv26lJDI\nGCxmE+Of6E7i0T2E1W9+3bVGnZZ9C2fyxcJNePsHotflM/bRDsR26IdPWHSZram4fF9FOOtcrZ4v\nZqxhWrdwfJwU6C02XllzkKcHtiI2OvC+r+d+U9lt+9yeDUhtRj78eTFSmYzTh/bx9VujinXYxzcs\nIjAoiLFfzUYikbB3w0rmzviCgR//XiZruRe96/Lo3fj7ot04mQyMax2IRCJhZ6KWdz/+i/V/lX3w\nVRHcMj9Qo0YNatSowXvvvVf072v/70HHajJit9sIjnA4XIVSRUhULfR5WTdda9Tl4uzmibe/w1k5\nubjiHxpR7LX3wrX5vsJCg4ogJ1ePm1qBj5PjPKmTQkawu4qMrJI3mKoKld22DXlZ1IipU7RRGFG7\nHgV5WcVGZYa8LCJq1yv6Q1Sjdj30edn3vIa7VuS7gbKuO0jPzKeGq7zo9UZ5qsnI0ZXpHBVJqWdq\njh07dt33VquV/fv3l9uCygqlxhmv4AiW/PRf7DYbZw7v58S+HTe1MQJw9QnEbhfYtHgudrudwzs2\nkXz+DD5hMWW2nmujawmSCtW8Dg70QKpQsD4hF7sgcCBFx6VcE7ExVT+6vpbKatuBtRqyd8MqLp85\nic1qZf73XxIS26TYp4OgOk3YtGQ+aYkXsZhNLJz1DcGxjctkHfcSXZfXhmPLplFsSizgSr4Zi83O\nglM5tGhSctFaZeKWOezJkyczZcoUDAYDGo2m6P8VCgXDhw/nk08+KXngByCHrU1PYe308aQlnEDj\n5kGHYe8X+9gIkJWYwIrPXiEvIwWNqzux7R9BJlcQ1rA1VpMBBIHA2g1RqDTX3SfY7aScPoTZUEBA\nzbpo3LyKHX/EnNHXGXhFq5OdSkhl2Jj/kZCYjb+3C9998nSlMux7yWFXBds+vX0l2+Z8ismgJyS2\nEZ1HT8bZo/jjcQeX/cKued9it9kIiI4jKLYJahd3whu1Ji/1Mi7e/vhFxN50n0GbQ+q5Yyg1zgTW\naoBU6ojo71aR71pmmVrS48nkcjnSN+v3LXwyfSVmq5328TX57tMhuLlqSr/xAeGeKh3Hjx9fqgEX\nO/ADYNSF2KwWZKV0Yt40+yPO7VxNRGwcl86cwG63ExoVw+Wzp/APi0ShVJGXk0Pf92bh5OHYdbbb\nrKz+5k0K0pPw8g/k8tmT9HprOr4Rta8bu7jNmYp22IVYLDYUispXtFMWlY6V3bYFQcBus5Zo22aj\ngblvPopSocDDx49LZ07g4eOHxWxCr80jumE8SefPENWsCy2ffL3ovsxLZ1j+6WhComqRk5GGk1cA\nD4/5EplccVPwcTfMMrWk55C0cpNiEAQBm82OXF61bPuWm44HDhwAYODAgUX/vpbGjcvmsep+UJqz\n1mWlcXrrMib/sZrgyGjysjIY068drp4+tO75KM+97ThZ8utXk9i74DvaD3sfcJxCkduMfDZ/LXKF\ngq3LFrD0pyn0n/jzTXPcaOAr/wgptwjjTqiMzvpeqSq2LZFISg9EfpiEf3Ao78+aj0wuZ9OiP5n/\n38+wWi2898N8ouo2pCA/j3GPP0xkfCcCoh1HHLfN+YRBo9+iwyODsFmtTB71FCc3L+HbpM1IymCr\nsMfgJKD8NDkkEkmldNalcUuHPWbMGCQSCQaDgf379xedVT1y5AhNmzZl165d922R5U128nk0Lm4E\nRzo2KN29fQkMjyT10nna9upflBusF9+KU/+bWXSfNiOFOk2aIVc4DK9ufGt++2bydWPfanPm2Z6X\nSRfFEiuE6mTb2oxkWnfqguzfjkj1mrXm1y8/RCKVElW3IQDOru5ExNZDm3GlyGFr01OoF98KcOhm\n132oOXrTXqDs9K4fdKGzB5FbeozNmzezadMmgoKCOHDgAPv372f//v0cPHiQoKA7l1B8kPGLrItR\nX8DBbRsAOH/iMEkJZ4ht0owNC3/HbDJitZjZ8Pcf+NSofc19ddi5djnaHMcO/br5v+AXWefm8Yt5\nfFSuT7ojLWKRsqM62XZgTAO2Ll2ANicbQRBYO28OLu6euLi5s33lIgCSL5zj9MF9+IRfPcLqF1mH\ntfN/QRAEtDnZ7Fi9lC4HLt+V3vWNmDuH3PMY1ZVSc9h16tThxIkTpf7fTQM/IHk+s15HzpVLOHv4\nFGl92O12Lh3ajsVQQI0m7VCqnTi6bgE7f/8auVyO2WTCarWgVKpAIsUu2JFKpYTWi6fry58gV6rI\nSkwgLeEYmRdOcmLLUpQqNa4+gXQf+zUuXo6OLCVtzhhtNrY11RAeE0BkmE9RFJ+Ykk1mjo6oMF+S\n03IR7AK1ogKQycRo/FrKIodd2W1bm56CIT8Hz+AIlGpHp5SC3EwuH96Fu18IQbGNsNvtLJ74PKnn\njqNQKgEJFrMJQbAjVyiRK5RYLWbaPvc2sW17Oz4bB7aiy8nk1JbF5GekYDYZ6TK4LZ8l5+PvVaPU\ndaUbDCTpC6jh4orXvwVJZpuN01otSqkU22M1SczQUbd+MIF+7uX4DlVO7kmtr379+rzwwgs89dRT\nCILAH3/8QYMGJcstPiiknD7E6q/fwNM3gOzUZBr2epq4bk8wb9wArEYDKo0T2+Z8Qp/3fqAgNwu7\nzYba3ROL2YzayRkv/2CyU5PQOLmjUKkw5udis5rZ9svnnNm2Ai//ILLTUojt+ChN+zyLk4fPTUer\ninPWl3U6HtuyEck6OflWE21a1mLqx0/yyfQV/LJgJ76uSlJyDDipFKgVUvwCvJg7Y0Sl2umuDFRW\n2xYEgV1/TuXUlqV4+gWSl51Fz7emkpNyic2zPsTDx4+8rAy8QqPp9/4PmAq0KFQqVCoNBr0OL/8g\nzCYDZqMBT79ActKvYNTmYDbqmfvmAOwWE0qVGn2Bjodf+wK/yFhemT8eubR0+YU/zifwn0MHCHd1\n4nK+nqnxzWni7cOAzRvQ280UWGwY1q8m0ENDus7Mqy905qWhne7Du1Y1KDXCNhgMfP/992zb5ij0\naNu2LSNHjixV3ayioxBBEPh5dHdGTPiURm06kZuZzjtP9sTJJxg3jYJ3vv8dmVzBn1Mns2PNMnQ5\nmbw3az5mo4EfPhrHR78uw8Xdk52rF/P3rG/47K+NzJr4JqlZeVzcv5WPf1tBcGQ0F04e5YOh/Rj8\n5d+4+V59nC4pun5iy0Za1nBlbHwkBquNvksP0rh9PZYu38en7YNxVcnYelHL3GOZfNszgu/2ZxDa\nsFalKh0vb8oiwq6stn3p8E72/P4lk35ZgoubB1uX/8XfP36HLjudIW9+QNteA9Bpc3n78W7InD1Q\nywQ+nLOE2R+Nw83Lh6fGvI/NauWL14ZSN741rXs8wjtP9sLZJwhPNyfGTf8VmVzOb19NZO+WDbz/\nedfbEnlKKiig05pVrBsUT01PZ/an5vHo3/tpE+CP3MnAMw19sAnw0ZYk6gc40S7cjbc2JTN31ijq\n1Qq+T++4lk6KAAAgAElEQVTeg09Jtl3qc7ZGo2HMmDEsWrSIRYsW8frrr1cKKUqLoQBjgZZGbRx/\nvT18/KjVKB5DThotuvVGrlAikUho0a0PxgKHTGp0/cYkXzhLXLM2uPzbuy6+U0+uXL4AQPMuvci+\nfA7/kPCiDcqI2DjcvHxISzheNHdpzUjPaLX0i3F0ZNHIZTwc6sWxk8nU99MU9ZVrGebKFZ0ZgBZB\nTpw+d6Ws36JqT2W17Zzki8Q1b4OLm2PTrnmXXqRfTsCgy6d5l14AuLh50KBVB7TpyTTr0hOVRkPy\nhXO06NbbcYJCoSC+Uw9SLpzF0zeAmnGN0Wen0bJbX+QKRdFnw6TT3rYi30WdjtreLtT0dAagSYA7\nPholp/JyaRnm4phXKqFlqCtJeWa8nRTE+jpx7kJ6+b1ZVYxbOuyBAwcCUK9ePeLi4q77qgzqZgqN\nM2pnt6KNxNzMdE4f3IuTVwC71izDajEjCAI71yxB7eyKPl/LmcP7CY6I5ujureTnOtoo7d2wgsBw\nh3DM7nXL8QqrSVrSJZLOnwHg/IkjaLMz8Y+qWzR3ac1Io93cWHQmFQCD1cbqxGzqxQZzJE2P1uSo\nANt5OZ8gV8cj6K4UPbVqVq8qxPKkstu2V3AER3dvQ6fNBWD32mX4hUWhcXFl97rlAOi0uRzesQk3\nv2D2rFuByWAgJDKaXauXIggCVouZvRtWEhQRTXb6Fc4dPYCTlz871yy5+tlYvQSVi9ttr6uGiwun\nsnScyykAYH9qHllGM7HuHuy4nI8gCFhsAjsT8wlxV5Klt3AyQ0/NCL+yf5OqKLdMiaSkpBAUFMTF\nixeLvbFGjRolD/wAbMxcOX2I1d+8gYePH9mpV2jUewj1ug5i3riBWI16VGoN+gIdfd//gYS9Gzm0\nbA4ePn7kZmUgk8uLctgqJxdHDtDVm15vTWPHn9M4vXUZ3v6BZKVdIa7rIFo9+SrgiK5bjJ9XYkSS\nWFDAwM0bUMgkZJpsNG9cg1lThzJlmiOH7eOi5EquAY1ShlIuIyjIm7kzR+LqUnz0Z7fbOX0+DbVK\nQURo9RCDv5eUSFWw7Z1/TOXUliV4+AaQn5tDjze/ceSwZ36Iu48v2uxMvMNieOS9Wcx7exAF2emo\nNU7oC/Jx8/LBbDJhNurxCggmO+0KTfs+R53OA5j75kBsFgNKlRqjXs/L73dlyMaU2y6U+fN8AhMO\nHSDMVUNSvpGp8c1o4uNL/03rKbCZ0VttGGx2fN1UZBVYeH14V0Y92/GW4+kNZk6eSyE6IgC3W9h/\nVeOeKh1nz55Nu3btiI6+M9W6B8GooaRTIjuwGPXUaNwGpdqJK6cPserrsUiQYDbqsVmtqJycUTq5\n0nrIG7j6BOIVEllUnpuVmED6+eMExDTAM/CqMd9uM1KjzcaZvDz820sx14wjqKYjykhMySbpSjaj\nx/9KWrYOCeDr6czGv8fj4eZ00zipGXl0Gfg5Wp0RuwBhQZ5sWjgOpbLU/eRKTVnksCu7bWszUjDm\n5+IZFIFC7diQ1udlc/nILtz8ggmq1RBBENg9dzqHV/+JQqlCIpVhNZuw221ENetMXNfHcfHyKzrZ\nVHSCymSkRqPWvDL3rTuuakw3GEjW6wl3cbnulMgZrZZtqal8fOQgEokEi13gib7xfPGfx4sd58e5\n25n4xWLkUglmm8BLQzsyfnSPe3jHKgf3lMO+fPkyL774IhEREQwcOJDp06dz6NChMl9keaF0csE/\nqu517bukUikRjdsQ07IbSrUTVrOJ1d+8yagPv2LWxkNMmP0XGmcXPpu/lt5PPc8/C2fiExZd5KwB\nvEOjiG3X5zpnXSjwdDudo9UyGfW9vPA/4nHdyZLQIC++mrEGH5mdPwfE8OeAWgSrJDz90qxixxk8\nYga13eX8OSCG3/pHIzPoeXHcL3f8PlVHKrttu/kG4RdZp8hZAzi5e1G7TU+CajmKYhL2biDl6A6+\nXbWXHzYfpV3vAdSLb8nMDYew5qWSfv5EkbOGws9GW2JadOWVuXcnSeqn0dDI27vIWQMoZTLquLsz\n5fhhRjULZN5jtZjWI4KFy/9h7dabj1Fm5ej48IvFjG8TzB8DYpjcOYzv52zkxJmKE017ECjVYU+c\nOJGNGzdy4sQJWrduzWeffUaTJk3ux9ruG7qsVFRqddEGZWSd+oRFx5J8/ixdBg4h7cIpBLu91HHu\npV1S6qXcon+fv5BO92hPlDIpCpmEh6M9SEzKLPa+K2m59IzxRCaVoJZL6VbTg9Nnku9qDdWN6mDb\n6edP0OrhPrh6eCKRSOg26FkunDqG2smZdr0GkHXxZIn336tmyLVcKijAZhdoX8Nx9jrETUVdPye2\n7j5907X/HL6Iq1JG40AXAGK8NQS5Kdm272yZracyUqrDnjRpEt27d6dr166cO3eOL7/8ksTExPux\ntvuGk4cPBdo8ks87jCEvK4Ok86fxDgjm+L4duPsGlthaDO6tGalfnh3Bain63tvLhYNXCooeiw6n\nFuDu7lzsva4uag6lOjZ5BEHg4JUCfP3Ekt/boTrYtptvEMf27sL2b1f4Y3u24xMYgt1u59i+nTh7\nBxR7X1npXV9LsEaDIMDZLAMAOrONc9kGYovZUK8dHYjWZCNZ6zgplaW3kJpvoW501apEvVNKTXT+\n/fffKBQKevbsSdu2bWnZsmVRO6UHjVupl9msFqQyh6i52WhAqb6+AEWpcabNM2/xwQsDiKgdx4WT\nR5BKpfz06QQunDpKt1c+K3Xu242u7YKAXRCQX/MHQLk+CfpfPQI488uhdH3sc05lGZBKJKTrrfz9\n42jsdkfF5bUKe999+gwDh/2XfSkFGK12dFaBDTOeRBAER57w32vtdjt2u3CTIE5lVesrCyqTbV9r\nw4Vca+9Wq8OxyeXXF7fEtu/LpQNbefOxLnh4+3HhxCECwqN4+4ke2GUKeo8ff8s57zS6ttjtyCWS\nW3btUcrlDOnbjHeX7aGml4bLuSZqRvrTr7tDbOtaGw0P9qZ/ryaMWXmAKC81F3KMtIqvWdTqy2Zz\nPPHKZI7Pg1wuvem9sVrtVc62S910BNBqtezYsYNt27axYMEC/P392b59e8kD3+eNmSNr5rF73nSs\nZjPh9ZvTadRHmPU61k4fR1rCSZQaR67aZrWgcXWny+jJhNVvUXR/VuI5Vn/1BjmpiTi5e/JQ/xdx\n8fLHLzIWZ8+SZVBvp7edIAh8efwY00+ewGoX6BkawtT45mj+FeW5UW41J1fP74t2k5ap5e9le8nO\nNyGXSlCr5BQYrYQHeTDri2eJqx1CakYec5fsxWC0sH7LMU6dT8dFo0AACgwW/DydydEasAsCPdrV\n4+uPBnMxKZPhY3/ifFI2vp7OfPfJEFo2rR562NfyoNu2SZ/Phu/e5+KhncgUCpo/9hINug/m1LYV\nbP/5M0wGPU6ubhRoc5FIJPiGx/DoxDnXOe5DK35z6GFbrYTWbUqdzgNRu7gRWKthsWp/d6p3nWYw\nMHzXdvamZ+KikDO5cRMGRhTfQzGpfxjJugI27DjFmfOprN98DLNNwEkpw2IXEIBeHerx9aTBqFUK\ntu45w65/EtAZTMxbvJcCg5kALxfSc3RIJBL8PJ25kqXDVaPko/GPMqBX0yqth11qSuTo0aP89ttv\n/Pzzz8yfP5/g4GA6drz1MZyK4PLR3Rxd9StT/ljFTztOER4eytb/fczqb96g7cO9+GVPAm//9zdU\nGic+X7iJ/sNfY+3Ucdj/zUvbrBZWfP4qA4a/zK/7LjD6o2/Y99cM/GvWK9VZF1JaNPL3pYssTb7I\ngWdbc2lkR2xyE5MOX7/BdW0e29PDidFDO7J05X5aBTmx8PFafPVwDaR2O1M6h9IvTM1TL83CYLQQ\n4OvOay90Yd2mozR1sbNgYAzvtgzEbrEyrXsNeoQ5EeCk5OLwDtiTMpj4xWKeHDWThwMV/PVYDC/G\nefD8mP+RkV09WoQVUhlse+v/PiE4yJ//bT/Jp/PWcnztXA6v+oPdf07lPz/+xc+7ztK21wBqN27G\njA2HcNGoWP3VG0X3Xzq0gxPr5/P5Xxv4aedpwiPCufjPRkLqPlSiNOudKPKN2r2D+BAX0l7uzMrH\nHuLDwwc5nH3rNmRNG9SgTXxNNmw5xocdQvl7UC0GxHrh5yTn10eiSD1zicnfOPputm0WQ7f29fh7\n6V4mtQ1kwcAYmnrLqeWt5qe+UbgIVt5tHsXKfk2Y9PliZv+5je9nr+PrrmHM7V8TSWYmb02af9uv\n5UGnVIf99ttvk5+fzyuvvMLJkyfZvHkzEydOvB9ru21STh2kXa8BBIRFIFcoeXT4aySd+Ifs5Av0\neXYUUpmM6PqNiWvehvPHD9N98PPY7TZykh0VjPmZV5BJpbTv+zhSqZQGLdsTHBlD5uUzpc59u7m+\nXRnpPN8ghEAXNU4KGWPiI9iVkVb08xvz2IVk5ul5Is4HmVRCmLuKtuFunMow0K6GO2opXEx0bEbq\nCowkJGbRr7YXMqmEWj4aGgY4cy7LSJ/aXuQYHWdgxzQOZ9ueMwgWK50jPZBKJDQOdCHcQ8XJM9Wr\nmrJy2PYB+g9/DYVShX9IOO37DOTC/q3Ed3yYsOhYZHI5j416g7OH9+Ps6k7f50eTm3z+6v0nD9Ch\n72P4h4SjUKp4dNirJJ+8WQP8bhEEgV3pGYxvEYVcKqWujyu9a/qzJyOjxPtWbjxKPT9nYn2dkEok\n9Iv1IktvxSZAvxgPdl6zufjP4Ys0D3ahhocamVTCk/V9OZVpxFkh5dFYL3YkZzvmjfJj7ZbjdAh1\nJsBFiUImZWBtD3btTyiz11vRlOqwly9fzrhx42jZsiUKRfkJjt8LTu7eJJw8WvQYcfHUUZw9fJFK\nZSRfcPziLWYTSedO4+7jS+rlC1gtZlz/PeqncfWkQJtDVqrjyJBel09a4gWc3L1va/7byfX5qjUc\nStMWfX8oTYvfNe2plOuTir1PJZeRkG0EwGYXSMgx4qGRk2Owkl1gxsfLsYuuUSuRy6Qk/rtJY7HZ\nuZRrwkMj50q+GbNNwE2p4FC6lgBfN7RGCxkFjj8QeouN5DwTvt6ut/V6qwqVw7a9uHDyKOBwjudP\nHsXZy4+Lp09gtzmqYs+fPIq7t0N47Pzxw8ivaWPn5OFNwokj13w2juHscWu7LkyH3C4SiQRftbrI\ntm12gSMZ+fhpSi5yCQ324lKeCfO/uejkfDMCoJFLScgx4utztcLSx9uFi3lmbHbHa0jIMeKhliGR\nSDiXbSTAWe2YN0tHoL87F7SWotebkGPE99/PSFXgtnLYdzXwfczzWc0mlk4egZNaiW9QCId3bKLb\nq5+Rn5XG7j++oUGrDpw9/A8F+bnUb96OQzs2EtaoLV1GTSoa49DK3zi66nfimrfl9KF9BMe1oPWQ\nN0uc905yfXlmM702rCXYTYmnWsGWy9ksaN+Rup6eRdck9Q9DIldcJ+z+xYy1fPvjWuKDXbmUayJT\nb6FFDQ+OZRh49om2vDa8a9G1C5bv4z+fLqJJkAsn03TozDaahrix+1Ieoe5O1PFzY2tSDvNmjWTr\n7tN89+N6GgY4czLTQNfODfn47f538rZXKGWVw74b7qdtp5w6yKqvx9KgZQeyUpPRFejp/fZ3rJ02\nHsGkI6hGFPs3rSYwPBJ3Lx9OHdxLn3dmEBAdB4DFZGDpxy/i4uyEd0Awh3duovuYr4rOaV/L7VTp\nFsea5CRe27ubrhG+nM4qwEOu4bc27a7bWAdH490TrhEERvlit9tp3XsyBq2OGG8N+1J0+DgrifBx\n4liGgYU/jqZ2lOMEi9Vq48lRM0lLTCfEVcH2C7lEeGtwU8k5nJJPt5r+JOpMeAZ7M+OLZxj4wnfY\ndTp8nRTsv6Ljl+nDiG8YcZe/gfvPPVU63i33e9PRZjFzYf8WTHodIXWa4h4Qij4vm7XTxpGWcAK1\nqwfBdeOxW83IFEpSTuzDbDQgEexYzEakUhnugTWo06Ef7v4hhNSLv+VuN9ydcessFtYmJ2O02+gQ\nEEig0/WVi8X1ucvXGXn2lR84eDwRJ7WSoU+2xc/blVpRAcQ3jMBgMNO672Qys3VIJBAc5MXIZzqy\nZfdp1m86itUOKoWU5wa3JSLcj/YtahVpEB84eonjZ1KoEeJN6/joEl/vg0Z1cdgAeenJJB3bi9LJ\nhYjGbZErVVw4sJUtP07GVJCPX0QdXHwDEQCLXkvqmSNIpFLsVjNWsxmFSkV06154h9YkpF487n7F\nK+PdbpVucZzJy2NPZgbeKhXdgoKRFXMM1q2rjRNuEQRGOvaF9h46z4tvzCE330hkqA9PP9YKtVpB\n++a1CPBzZ/Hqg7z5wZ+YrHbkUgl9ezShcVwYX89YR1aOY7/Fx9uVV1/ojK+PG13b1kUmk2I0WVi7\n9QQ6neNkSXjw7T0pPyhUC4ddHIsnvkDdho3o8+xIzh49wMyJb9Fi0CscXPIjY7+cxcwPxuLm7cOL\nE74gOz2Vz14ZQkSzbnR4/u1Sx74X474V5s4hpLtLrzst8sKY/2FITOGpet4k5pn4el86C38cTZ0Y\nx7yten+MRK/nzVZBGC12Jm5JIiwigOOnk3m1eSD1fJ1Ycjqb1edyObvrE2SyqnHMqTo57BvJTkpg\n8aRhvDLlW0KiajH3209JTc8CIMDPm66PPcNHwwYy5M0PaNy2C1uWzmfR7Gk8PX01Gpfi0153G13f\nCdc67CvpeXQc8BnDG3hRx8eJJWdzuSioWPn7GADy8g006DiBx+p60SnCg73JOmYfSCMi3A9tRjbv\ntnV0rfl4axJ+oX6s/ve+qsBdNTDo3bv3LQeUSCQsXbr03ldWjpiNeq6cO8aUX/5GKpXyUIeH2bZy\nEed2r6XX08OIiI0j40oSL3/yHd4BQXgHBNH9yWGsWfArULLDLpRPLUtnDTefxwbYsPM0s3tF4KKU\n4aWR0yrEhW17zxY57IyMPMa1DibAxXGMa1CcD/87mEItbw2twxx5wCENfFl+JoeDxy/TtH7leTQs\nLyq7bSce20t8xx7ENW8LwNBxkxjWPg6JRMLbm46wefFc/ELD6dBvMAB9hr7Eqt9nk7BnHfU6PVrs\nmKUpTJY1ew9dINZXQ8vQf200zpsn/j6HNt+Am6uGJWsOopZL6F/HIWbWtaYHy8/kkJycyUsPBRDi\n5jgvP6SBHzP2p91ynqrGLR322LFj7+c6ypxCvevstCv4BAZjt9lIT7qMyiuQtKRLjmvkCtKTLhEc\nUROAK5cSkMpLL5wob+O+cj6zqJu6m5OKVJ2Fml4yBEEgTW+97kypRCIhNd9MPT9HeiVFa0YqlZJe\nYMFmF5BJJWQbrNjsAsH+XuW25spEZbdtlZMryScuFRVHpSVdQuPqhiBAWtIlPHz9yM1MLyoS02lz\n0RfocPMvuZdiWQcgJeHuqiFdd9VGswxW7IJj8xwgMswXvcWOzmzDRSnDZLWTY7QCElLyzUXjpOSb\nkVaj9nm3dNjt27e/j8soe6QyOc0fH80Hzw+gVfe+nDt6CInKhVZPjmHRh89RoNXiHxbBtPGj6NT/\nKTKvJHF4xyb6vj+7xHHvRODpbvDLs5PucTVt8f7Yvnzw6ULahbqQordhUGro2/XqhtHQp9rz3U8b\nOJ9jwmC1s+OylulTnmbshD8Yt+4S9QOc2HRBS40QLwL9xf55UPltu2bzLhxbN4/PXhlKWExtti77\ni+aDXgHgk9FDaN3zUQS7wPvP9KFR607sXrsMJzdPwurFFzvevcgq3AnatTL4d1+7TXw0weH+fLj9\nCjEeCnak6HlrZLeiysTW8dF4ezgzds1FWoe58k9KAXKFnDde6s4HXywh7d/mHpsuavnwreKfGqoi\npeawz5w5wzvvvMPx48cxGh3HyyQSCefPny/ptvuS59NlpbH9l8/JS72MysXj300WI2EN2/BQ/+HI\n5AouH91N6pnDOHv6UbttL2RyBVt+/oyEnatBsGMTJJj0+UhlcvxrxGA1GXHzC6bl028UuzkzYs5o\nrCpf3jnwD+fztdR29+CjRk3wUakYumMbezMzEBAIdnLGKtgJ0DjxQYPGxHp48NHhQ/x6/ix2QcBH\nqUYulaCQSckwGNHbrLgqFPz8cgu8mza7Lo+979AFtu49S3qGlkUr9mGz2pHLpQT6eyIRBLLzjejy\n9QB4+7ihVsjw9XYh32glJ09P88aRTJ80GJvNzlcz17By3SEUCjnubk6kpucSHuLDx+8OuOXmTEpa\nLu98vICEi+n4+rhh0JvRG8106xDHm6O6V0j5b1nksB9k2z63dwNHVvyK1WxC7e6FMS8LpcaZJv2G\nExrXDKvZyMktyzBocwip+xBBtRth1GlZ9OFz6HMzkUilmI1GbFYLSicXPANCsVvNhDdux0OPDkMq\nuxqrjZgzuih3vTwxkf+eOo7JbmdAWA1G1o7ltDaPZ7dvIcdsRiGREuzkjNFuo42fP+81aITRZmPA\npvVc1OWjkMoI0Ggw2W1oZHKSCnTYgLrunsxr14HMxyOLbNtisfHXyv2kpOawcedpTp9KAgQ0Tmq8\n3TTI5VIupeRgs9mRSiWEh3hjsdgIDfbmQnK2IwU0uju9OjcgMSWbdyf/xYXLGfj4uGHUm9AbLfTo\n3ICxI7rdJMlQyIoNR5j+w1qMJgv+vh6kpufi6qJm3Ms9adMsplx/x7finiodhw4dyogRI1AoFGze\nvJlnnnmGJ598sswXeadYzUaWTh5JXIP6PD7ydTIvnaL/cyN4edKX5F8+zu653wIQFtec+P4vUrdj\nP2RyBQdX/M65bSsYNfFr3pz6M94+PsTENSEgOIzY+g157ZPpNG7WjGWTR2A26q+bM0qYgdFmo/+m\nDcQFqZjVoy6h3lIGbd3ECzu3cyo/h9/7NCTa05lIbxUzutelZy1PBm7ewBdHjzD77Cleivfn7bbB\nGCVmovxk9KrrQr7VwvNN/OgQ5UKfL7aQmaO7bt6HGkYwuG8z5i3eTfdIdz7qFEb7MFcuJWXibbUi\nNZt4v10Ib7QKIjc7n/Y+MuLkJlJSclj5y6tMn+TIZX7235WsXr6HZ6OdyEnLxjkvm1F13Qgy5DLg\n+f9SoDfd9D4bjBb6P/8tnnlZPBKm5tCxy3TxgWG1nNmybj8fff1g53tL4kG17ctHd7Pzl895cvRY\nouvURWYpYPTEL+g/9EXW/fcdMi6cQq5UE9dlIPH9hxNUuxEAiz4cSlBoKO/O+JOnx05AgkCf50Yj\nFew8Pnw0oyd+QW7CIfbM/65ormuj6y2pqbxzYB/jW9Xgy84xLEg8z3cnT9B3wzo6R3jzfdd6GGw2\nhjcJ4vvudbhszuXNf/bSfd1qZCoL/+kQypMNvTmvy+fxBu6EeINGKeHdtkFk2vLpt2n9da9ToZDx\nRN94klPzOHUykTEtAnmvbQgKmwVzXgGXkrJpF+bKx53C6BXtQWpKNs/FOFOQkkaTuqHsWDyeXp0b\nUGAwMeD5/+Kry6FPqIojxy7T1VfCsFrOrF+1l8nTVhT7Pm/dfYZxE+fRJ0BGAGZSEpIYVsuZTp52\nhr8xh6Oniq+NqEhKddgGg4HOnTsjCALh4eF88MEHrFhR/BtwP8m8dBaNk4YBI8Zw5VICnfo/SfMu\nvYis04AXJ3zGud1ri73v7I7l9Bv+Ko3adCKmQROGTficlEvn0Ou0PPf2x9SoVZdHnhuNp48v6df0\naQSHwFMGbmiUEt5uUZP6fm5MbBNDvtXMnswMvu5Uh/q+bhxM1zL74fo08HPjhQZhNA304M8L53m8\nng9Ng12o7aNhdHwAp7KMNA9xpVeMJ4l5ZgbW9cHPRcGq7Se4cv56OdU5C3bgqZYzuL4vkZ5qhjby\nQyWXciQjn5EPBRDr60TjQBcGx/mQkGOie00PYrxV7Nh3rmiMxasO8GJDHzzVcgosdkY09SfSU03/\nWC9cZQIHj9+sVHfybAoyq5VBdb1J1prpFuVBqzA3or01jGzkw+I1FS/kf7c8qLZ9fs96HnnuJRq2\n6sDpg3sZOfEbouo2JL5TDzo/OpiEfRtvusdut5OTcpmXp3xLRGwcbXsNIL5zT/7ZsJIujw0hvlMP\nouo2ZNj7n1732bhWtGxp4iVej69BlwhfmgV58mmHWvx58TwSKXzavjaJ+Ub6RvvzRJ1gGvq5MaNb\nPRZfvMSFfB1jWwYR5aWmY4Q7LUNdydBbGd7EH7NNwFUl59XmgZzIy71p3QBrNx5mcH0fmgS5EOvr\nxEvxgaQbzEgk8EJjPyI91TwR54uXRo4AvNzUj2XrrxYDHTuVjEZi57E6XiTmmeke7UHLUIeNjmjk\nw5LVxVd2Llm1n37RbjQJcuFEhoHXWgQS7e3YCO0U7sLKDUfv8TdZ9pSq1qdWq7HZbNSsWZNvv/2W\noKAgCgoK7sfaSkSmVGLQ5WO1WFAo1WSkXP1rmJ+bg1xZ/OahRConPyf7mmuzkUplmE1GTAY9aidn\n7DYbBVrtdWMUlqCrZDK0JisWmx2FTIrRZqfAYkUmkZJlMCOXOs4y55ms+DgpEQTh3/+XkmeyFo2n\nNdlQyRzX5ptteKjl2OwCBWYbAdy8oenmosZgtWO1C0UdOExWAZVMUtQHEiDPaEUplyAIAlqTDbXq\n6lgqpRytyYqbSoXZZsdoFdAoJNjsAjqTDY3q5nlVSgUFJitWu4BCJiFNd3UurcmGuhJ3tnlgbVuh\nRJvjOKanUKrQ5eUU/Uybk41cdfPmsVQqRSqTkZ+TjbOrY69Cm52JXKki/5r783Ozi+z6RlkFlVRG\npv6qPEKWwYxaJsNotWOw2lHLpWQbr/m50YxGIcdmsZBvcmwOgsMulDKHjRqtAkqZhPQCK7JbnPOX\nyqTkGa+1KysSwGyzY7YJqOQOGy2w2FDKpOSbbKiUV5ULVUoFOpNjY10pk5BRcMPn7BY2qlIryTc7\nKi2VMgn513yO8i0CavWDV/1a6qftm2++Qa/XM23aNN5//320Wi0///zz/VhbifiERuMRHMlnrw6l\nTnpPgGkAACAASURBVJPm7F2/EqVKTUBoDZb/9gON+w0v9r4Wg15mxeevYrfbcfXwYvHsqUTFNSI/\nJ5uJzw+gXd/HObxrC2pPP/yuaawLjhJ0H0GgtpsHg5YcpFukD0vOptPWP4A6bp68sv4Yl7UGmvi7\n0WX+HkY0DGPflTwMJpjcqAnP7NiKIICrSsaC41m0DHVl9v40Nl7Io3+sN5O2JCERpIxs7cq5G3JY\nwwa35puZa/hg02VahLqx+WIeMinE+7vz7d4rpBdY0FtsLDudQ5/annyzLx00TrRvWatojNdHPsyE\nKQvpHeWGr7OCdzZconOkB4czjYTV8Kdh3dCb3q/Y6ADqxoYyZWcqsZ5KdiXlo9ovJdBZwfLzWsa/\n1qcMfpsVw4Nq2/W6PM6iic9jtVoJi6nDl68/zyPPv0zGlWT2b9vIgI9+Lfa+0AYt+OjFx+k1ZAQX\nTx3j9KF9dB44hA0Lf0OuUOIXFMryX2fx0GNXHfW1566fj46h94Z1WO12/t/emcdHVV5/+LmzJzPZ\nF7IRSCAJ+xJAdoKCbIoIlrpVRVSwWlu1KmrrT7vY2qpttWpbWxQ31ALuUGXfA4GwJmFNAtn3ZWYy\nmf3+/hgSAgmQQCCZ5H345I/MzL33neHMybnnvOd7AnRq3ko/zd+vG8sL+/dy88o0bk3owY6CKh7+\n4TDDwv1590A+TwwYyM6yUn69MY9b+wWTXW0lq9zCgDAfnt+QR7CPih15JlZkVjKvZ+8W1/3sYzfz\n7MsrcLllDBol/82sJCnYQIGpnl9vyGNyXACp+SZcbsgqq+OH03U8/tCNjccP6R9N375R/DG1hKRA\nNVvzTKiVCsL1ar7LNvLC03NbvO4Dd01i9r37cLplegdqeXlrIfMHhlBR7+RghZ1X57RcpO1IWt04\nYzR6tAL8/Vs3RflaFGZcTgeHfvgcY0keKBQUZu7F7bITM3AMKQ88d8HOvYKMNHZ9/hZul5PwvoNR\nKBQoNTq0vn7UVZbgFx7D0Bl3oFR7thidL59qd7l478Rxsk0m+gUEsKBvAkqFgifTdrOmIB/Z7SbC\nV49VdhKg1vDW6HEkBgSwraSE3x88gF124a/WUmgxo0Si3uXG6naglVQMDw2m3uXCLyGMOpsVWZYJ\nDw+ktLgavV5LVm4ZploLhgBfVLIbp8NNZHQIJpMFlUrJ2FEJmE0WIiOCWHT3JAz6czUdtu46zpoN\nB9H7avH39yW/oJLAQD2n88upqjIzaWw/Hr3/hnOKNHaHk/c+28HJnBJiokMwm62YzBamXz+EG8b3\nuxr/tZekPRtnOqNt1xSfJnPjF7idDkyVZVTlHUeh1jD+7ifpNWzcBY/b/vFfKMzcg0rnS2TiUBwW\nM/rgHtitdTitFnonpxA71CMr3LTY2EC2ychHJ09id7uZE9uL0WFhVNlszFr3AzUOO0pZIsRHi83t\nYmRwGG+OHoNSoeDF/fvYXFKMj1KF3eWixmnDV6Gm3FqPLMnE+hgI9dXh6uGLwaCjylRHSLAfkgQ1\nVXXofLUcPJKPLMuEhQVgrrWgVisJ6xFAdZWZyIggBiRGYTLVkzKuHzdNOXe6vd3hZOln28nOKaVn\nTAhGUz1msxWDwYeMzNNotWp+ev8Uxo44V0I453Q5H67cid3uJDYmhNzT5fj7+bDwzomNHcHXmivq\ndNyzZw8LFy5sNOrAwECWLl3KyJEjL3rRa9kNVlOSxxcv3s9ti35BeHQsn7/zGjHDJzNy7oPtcv6W\nDPt8Vp7K5Y8ZB/j9pET+eSAPCXhiZBxpxbV8llXMhumzCNR4/gD84+gRPj19kv8b35dCs5WXth9n\nyeh4XtuTy2PJvQH4W3oui0aEo5Ak3k0v5eGhvfDTqnnzUD7/+cv9PPDEezyd3Ive/j68vCeXWbeO\nPkdXpLWUV5qYMv9VpsfqiQvU8NWJWpLHDeSVX81v87muJe3hsL3BttO/eZ/Tu9dyx8+eoaKkkBX/\n/AvzXnyPoKjeV3Te1mi4g0dw6kebNxARoGRaXChPbjzCE6PiGBTqx+tpuQzzD+d3yZ6xajaXi5nr\nf2BMjD8z4kP5IKOAE1V1pMQG89WJMl69vj9v7M3FLjuY2y+Yw2UWNucaeWPKQD46VoIhLoL+SVF8\ntXInL1wXT77Jyit7c/n6w1/Qt3f4RdfZEp99tZs/v/Et9w4Kps7h4uPMaj55ZzHJg69eN2d7cFmd\njg0sXLiQd955h4kTJwKwfft2Fi5cyKFDh9p3lVfAidR1TJh1KzPuXAhAeEwsf3jknnZx2K1VL/so\n5ySv39CfST2DefD7Q5x+eAq+aiU3xoWxv9TIlpIS5sTGNr7237MGMvzMvuhCk5XthdVM7RXK06P7\ncM93+7l/eBgpZ2bfycD+olpW3jqSozUW3lq2iR/1DefhYR7D6x3gy49Wpl6Ww163NYv+wVp+NMCT\nF00I8eHBr/fwh+duQ3GJsWjejjfY9pFNX7Lkr0uJTewPQHlRAcd3/sDoHy2+4nO3pg39dF0dJ4xG\nvvrxJD7IKGBGfBhPjvIMJxgW7s+wZdv57fBkJEniUHUVsuTm1ev7IUkS18eGMnDpFnYX1fKPaYMY\nHRXIg/87yEfzEtCqFCRHGThdY0chSXw4YzC9/7WJvQdP8emNAxkU5mmhzzPW89X3+3nq4eltfn8f\nfL6dxcNCGRbpGa9nsrn49Mtdnd5hX4xLfiNVKlWjQQNMmDABlapzFZokCdyus0Ny3U6X58F2ojVq\nfBLgkmWkM/9cTf5CutzyOS5fwjMqrAGn240EOM/IRyokaDrz1+2WG/9oOGUZSQJXkz/ATrd8+W9X\n4py1ut2e7jlvEoK6XLzCtpFwuc4W0dxO5xWbdlskVCXAjWesnSR57KMBp3y+XUuNNgweG3fJMgqp\n4TsgnXn87DGuM/bWIJ0qKTznPXuNy/8qKxTnfQ9lUHi5XV/SOlNSUli8eDF33nknAJ9//jkpKSns\n2+fZKpOcnHx1V9gKEsfPZOUL9xIUFk54TCyr/vUGg2788RWfty2GvbBvIk9sSOf/xvdlZEQAc1bt\n5bERvdlTXMOpWivXR54dNPpAQhIP/S+D58f2ocBcz/uHC3hyVBxvpp/ixW3H6Rfsx5v7cpHxOO/3\n95exeFgv/rDrJFuKanh/yW3c+7N/E+mroZe/D39OP8X9d026rPc4PWUgr779Pz4+XEFcgIZvsk0s\nmD+uWzhsb7DtQTfezpvPP8b8xY9TUVzItjVfcttvr7ww2tqJMrF6PUOCglmw+hDT40NYd7qC3+44\nzuAwf97Ye4oHEhIbbWVocDAGpYZH1mYyPT6UjzIKCfXRMKJHAIvXHubliUkMCffnpc353JIUxOEy\nC/lGOya7g7v+d4i504cxICmaBz/czLMjepNvtrLiZCmrf3PXZb3HB++ZzIuvrOJOm8tTkM82suLZ\nC+f/vYFL5rAnT5580S/vpk2bWj7xNVY0qy46xf5vl+GoNxM7bBL9UmZfkdO5HPWyv2Zm8NmpbBQy\n2FxubLILJQpSIiJwyG5GhoSxMCERhSSx8lQuqwvz0UoK9pZXYJGdSG4I1HkKOsFqHZUqJ8gykkaF\nqaYOpUrJpHH9ULhlQsP8qaw0UWe2cuMNQ7h9zihkWeajlamk78+hR49AHl04hUB/30uuu7Ckmr/8\n43vKK4zExUVgMnoahu6cN4ZR5+kI5xdV8Y8PNmEyWpg2ZQizpw5t2wfbTrRHDtsbbFuWZY5u+468\nfVtQ6/QMm30fwdEtz0tsLa2pyTTF5HCwYNsWTteZ8FGoqbZbkSWJUI2OYSFBSJLEPfEJjAgNxeRw\n8HrmYXJMRhRIpFWUgwQGpQYkGQVgUwaBsgYfg47qWgsuu5PgUD/GDIvD5XITEuLPqdxSDH4+PPrA\nVBLje1BWYeSdZRupqjQxYVw/5t88slXf7/9tOsyKr3ajViuJjg6hpKSaqKgQHls4hYDz5jyu3nCI\n79cfxM/fh8X3Xt9hsqzdVl71SmirfOrawkJ+nraT2wYGU+9wsSKriseSe7Eso4B+oTqGRerZlGMi\nOSCC10eNbjxuzOpvCDeomJcYye9SjzOupx9+GgXfHq/mzkGhKCSJTw6XM7NvEE63zNrsGpaM7sPO\nUhOa6BCW/m1ho+G++OcvSd+WxYL+kewpNZJmtPLd8ifQ+7RuEnj6odPc/ei/mNvXH4Uk8cWJWpb+\n9YHG4bwlZbVMu+N1JkXp6OGr5quTtTy2eAYLbp/Qxk/3yunO8qpXQlsH7MqyzMId2yh21DKul57U\nfBOlJidzEyN492A+dw32iJR9kVXNRxNTGBPmKQ6mV1Qwd9N6Hhneixqbk8+OFHL3kDC2na7F6pS5\nOSmIQ6UWDpbUcefgUL4/UYPNKfPkqD68uu8Uf3rxDmZcPwiA6loL029/jZtighgQpOedwwXMmTem\nTTWbZ19eQdqOTKbE6jlaZSffqeJ/y5/E58xe649WpvKXt1czNyGACouTjQUWfvjsSaIjgi5x5vbn\nilrTS0pKeOCBB5gxYwYAWVlZLF26tH1X2Mm4HPnUt45l8tDIcG5KDOJHA0OZPzCEg2UmwnzV/HJc\nFFPjA/lVShSf5+ZidniaDw5VVlJcX8+X80aiVysZGObLT0dFUFrn5L5h4dzaP4Rb+gXz0IgeFJvt\nPDiiB8Mj9WRVmlk+cwjpB3LJK/Q0AdkdTpatSGXlzcO4Z2AMb1zfn1AJtqReei5lA+9+uInb+wU2\nXvcnA4P457INjc+vWJ1OcpiWe4aEMa1vIE9e14O3399wkTN2brqbbTfYdVsG7BZYLOwoK+XZSZFM\njQ/k+YkxKBSwv9TIA8PDmdMvmDn9grlrSAj/On6k8biXDx3kzv7R/N/4RDIqjPxiTCRT4wPIrrbx\n8pRYpsYH8sSYSCINGkJ81Lw8JZaSOjvzkyL426R+/KuJXa3ZcIjhwXpemZjEvYNi+HzWUP7x4eZW\nv4d6q4NPv97Dr8dFMDU+kEdHhKGyW9mWdnZu5NvvreeJUeFM7xvI3UNCGR2h47/f7m31Na4Vl3TY\nCxYsYNq0aRQVeeYdJiQk8Ne//vWqL6wjuRz5VKfb0wnWgI9Kgf3MYw0RsEapQCVJjUWVercbtUJC\no1DgaHK80y03O1dDMcdXrcTudKNWSmhVSuwOT0HKdaYK6XPmOEmS0KvPPt8a7A5ns+s6mhzvcLrQ\nKaXznnfjrXQ3274cu3a4PbbW0MGrkECrVGB3tWzvDTjdbvzOdD7aXW58VIrGYqNGedZGfdUe29Yo\nFUh4Uol6jRKH42zXocPpRt+kL8BPo8TpdLf6DsvtbuhmPHvd823b6XThoz77fnRK6ZznOwuXdNgV\nFRXcfvvtjZNK1Gp1p6uktyeXK596Z1xflqaXs7+4jp35Rj49XMHkniHk1lj57HA5R8otvLmrhLHh\nYY37sUeEhKBVKHl0XQahPhr2FJn57lgVfYK0vL+/jN0FJvYWmXk3vZS+wTq+P1HN9jwjk2JDeHrL\nMULDA4iP9Sif+ejUTJ/YnwfXZZJaWM2b6ac4WGlm4nUJrX8P88byaVZ143U/zKjijnljG5+/ecoQ\nNueb2ZBTQ0aZhbf2lTP/llFt+pw6E93NtqHtdt3bYCDW18C/9pZxpNzC+wfKMNpcpPQM5j/7StlT\naGZPoZmPDlZwR++zTSmLk/rx74P5fJpVyJjIIN5KK+FYRT1xgVr+vKOQrHILKzIrOFFlRa2EV3cU\nEqRTk1lh5qltx/nRrWe7DG+c1J91eZX8+2AeOwurWbguk9tmJbe6RqX31ZIyOoE39pSSVW7hiyNV\n5JudjBvZt/E1P55zHW+nl3O4tI6NubVsyDMze1rzuZcdTauKjqtWrWLq1Kns37+fXbt2sWTJErZs\n2XLxE3tpnu/8gky2ycjKU6eQZZnbevcmwb/l7idZlvnT4UOsyMtFAchuiXq3E4UsU+t0Issy/moN\nO2feRIBOx56Kcn4oLMTpdrO+uJBquw2tQkmMXk+9y4m/WktenQm3LFOvkrBbPULt8b17gNNFUkIU\nLzw1h6CAs0XFequDV978jr37c4kID+DXv5xDXGxom97/N2sPsPTjzciyzL13TOJHN4045/n0Q6f5\n81urMZrqmTFlCD+7fwrKDhCQb6+iY3ex7ZaK6N/l55NeUU6UXs89ffqiu8D4uBqbjft3bCXXbMJX\nqabO4cAlyTidburObDmcERnNvydOwul2szwnh1yTkQqbjW2lxThkNyEaHXqNCqXk2fpXUm9B5afF\naK7H5XSjN+iIjQxCkmHu7FHce95OpSMnivnj376lqsrMxHFJPPnwjDbJ+lrq7bz8xrek788lKiKI\nF5++lV4xZ4uKbrebt9/fyJr1B/Ez6Hj60VnNCu7XiisqOqanp/PYY4+RmZnJwIEDKS8vZ+XKlQwd\nevHdAd5o1H3kf56jXna0toa5Gzdwx4BIlBJ8nFnE5yk3MDS4ufjOrvIyFmzfyoLBMZgdTr48Vsry\nCSncsmk9fUJ0DOuhZ212DXYnvHHdWJ7au5uFQ2IoNtvYeKqKH6bNIEyna7zuLRvWkRLnhwSsOVHN\nDXEB1MsShQ4F/1v+ZLOW8+5Gezjs7mTb5xfRX8s4zFcFufy4fyRpRTWY62HF5CmoW2iWemZvGgdq\ny5ndN5wNpyoJUvoSqfPlg5wTzErwDIxec6KG++ITKLZaqHZZmNI7hG9PljEsIIw/jzwbLf854xD/\nPX2Sib0NHC6tJ99oY0bfAHYU1TN/3jieemTmtflAOjFXvEvE4XBw7NgxAJKSklCrL50H81ajbhqB\nPLprJ4OjNfx8pOcv7bsH8tiWY2bp+InNjr19y0ZuHxzGHf09X4jf7TzBfzNLcCocvDUrHqVCotbq\n5P6vTtLHz8ArU5KY0ssT/f58XSZRymCeHOipiv80dQeGQAtz+3sigNXHq8gsq+eZCdH8MbWE+ffc\nyN3zxlzVz6Kz0167RLqDbZ8fiNhcLvquWsHhhZMI12txyzI3LN/NkgHDmRJ1bsqkxGJh4verObxw\nEv5aFTanm1Ef7KDSZuXHA0OY089jo18freS/GZWE6HTsXTAejVKB0eZk8Htb2TbjJiJ8fbG5XPRZ\ntYJ3Z8cT6KPCLcs8vfY0dw8OJS5Ix+LVuZzY8Qc06q6dlroUl7VLJC0tjeLiYsCT20tPT+f555/n\nl7/8JVVVVRc6zGs5X2oSwOJ0EOV3NpKN9tNhcTqavQ6gzuEg2nD2tTF+OupdToJ1KpRnCjZ+WiVK\nhYTR6SSmyXmj/LTUOc6e1+x0EOJ71nGE+qqxOj2FkxCdkrr6szPtBG2nu9l2U2cNHoetlCRCfDy1\nFIUkEaHXUudsXmSrczrx16gaC4halYIwH41na6D+XBuVJIlwX01jcc9Po8Rfo2o8r83lQiF5vgcN\n1w32UVHvdOOvVaKQwGbrfIW+zsQFHfbixYvRaj37d7du3cqzzz7Lfffdh7+/P4sWtSxd6u2c30ww\nM7onr6Rmk15Sy4EyI7/bcZKZ0c0lSBte+8K242SUm9hdVM1f0nL5SXxfjldZWZddQ7HJzrvppSgl\niVtjevL0xqMcrzKzKa+S9w4WMC367IDUm2NiWXG4ihOV9WRXWXl/fxlJoT7sLjCxo8DM5LFJLa5B\n0Dq6o203xV+jYVhIMEs2HyWnxsInmYWkl9YyOiys2Wt7GQwYlBr+kJpNTo2Fd/adprTOTohax/v7\nyzhZZeVklZVlB8oIVesoMdt5Z99pcmosvJx6EoNSQy+DofG6Q4ODWbqvjGKTnfU5NWSVWwjxUbH0\nQDnD+sfgZ+jeqb5LccGUyNChQzl48CAAjz76KGFhYbz00kvNnrvgib3otvFCymWyLPOfE8d578Qx\nZODe+L78tF//c4ohFqeTr/PyqLXbOV1nYmNxEWqlgplRsYRotWwqLmZXZSluWUYpSSwdN5FJEZH8\n/uB+1hQWoFepuCk6Fj+1mt4GA9OjPXMk/33iOP85fhQ3nvmPhW4rIcF+/OaZuUxow86P9sZSb+eb\ndQcwm21MHJ1AUp+IDlnHlaREupNtn58OaaDKZmNJehrplZVE+fjwh+RRDDmvNnO8tpbNJSW4ZJkt\npUUcq60lzmBgSmQ0uN38/egRLG7P9jt/lZoDs+dw2mLhmfQ0ckwmEv0DuD4iEoWkYHJEBIkBAVTZ\nbDy1dzfplRUEaTS4ZaiWXAxOiuGNP95NcKD+mn0253M8p5Stu45jMGiZfePQVjectTeXpdbncrlw\nOByo1WrWr1/Pu+++2/ics4VbJ2+npVZdSZJ4KDGJhxJbjmjrnE5u2bCWcIOKXgE+fJVXyj/GjKeg\nzsyrmYe5qU8YR0xV9PLzZWLPYFZnl5FjNjNFoeA3w0fwm+EjeD3zMB/mHGdElJ73c+v5viifv44a\nw6LEJBY1ue67tnHMuruQyPi27fpoT+rqbdxyzxv4OKyE+6p47Z3/8c9X7/O6iL872XZLzhogWKvl\n3+Oa12Ia2FpSwqLU7cxJ6EGB0UppvZ2N02Zy/85trC/PI9qgpd7t5qb4Higkia35VeTX19PH359V\n10/F7HAwa/0PfFt6klBfFa9mHuK9cROZGBHBe+PP1b2xT42hLEDRoc562+7jPPTUMsbFGKiwuPjn\nsk2s/vhx9L4d47QvxAUd9p133klKSgqhoaH4+vo2qpqdOHGCwMDAa7bAq01bBJ7OZ3lONrGBWj6e\nPRRJkpjVJ4xfb04nz1zHtrvHUlJnY2tBFVvuGotWpeCxEb0Z/eGOxi1U1TYbf8/K4u2b4wjyUWF1\nuvn56lNk1NQwOOjcltgFN+VRJnes3OmnX6UR4LLxzLgIJEliVA8fXnhlFdu+fr5D19VWuottXwkv\nHdzH29MGMjM+HFmWWbD6EM/v2wdKF9/+aCSPrs3giVFxPDPas/f6z7uzeT3rMG+N9ogrfZR9khA/\neGp8FJIkMTzKl1/t38vWmTc3u5ZmfQHcFktxTkWHBST/96cveDQ5lOui/ZBlmdd2l/LxF7tY/JOU\nDlnPhbigw/7Vr37FDTfcQElJCdOmTWvURpZlmb///e/XbIHXgra06jalymajX6i+MUXSL8RAlc2G\nS5aJD/Qls9JM3yBftGc6wnr66dAoFZgdDo/Dttvx06oI8vH8N+hUCiIMGqpszaeXNxh1R1JVXUeM\nXtn4fnsGaKkxel+RrrvYdkuF9NZSabXRP8STe5YkiX4henadrqNfmB6FJFFpdXDTmecBBoQY2JNX\n2vh7hc1Gz0BNo63EBmiptlde8HoDTLlk+cVRnFNOZHzzXPrVpqrWQq9BHg1uSZLoaVBRWWW+5uu4\nFBcN2caOHcvcuXPR68/eqiQmJnYK2cn24Eqia4CJPSL4JLOIw+VGjDYnv91xkpSICAYGBfJy6kn6\nh+hJLaphXW45FoeL19Nyifb1JeRMwaunXo9WUvLd8SpsTjc7840UGO3NouumlJxuefL0tWDi6AQ2\n5deRW23F4nCxPLOKiaM7Lp9+JXR1226gLap8TZkUEcHvdpyk1uYgs8LER5mFzO4Zyzcny0grqmFs\nVCB/2p1NkdlKkdnKX/ecYlKPsxLCk3tEsDHbyKkaK3V2F8sPVZLS48L1DuNaJTGr8jzTOjqASaMT\n+SSzmjq7i1M1VjbkmZk0JrFjFnMRuq1aX0Pnl6wLZ1d5OXqVipSICNQKBbIss720lAqbleSQ0MYq\nd0t8kn2S3x48QJ3TyYTwcOb16o3TLbPs5HEOV9fgp1bho1JSYbWTHBrMO2PG07OJk8g2Glm8aztZ\n1bXEGvS8PXocI0JDKa2v591jR5FleDApiShfX0+uL1DZ7LaxutbCjj0nUasUTBqT1KhAdjX47Kvd\n/P5v32G22JgyPok3fn93hzTxCLW+i/Pwsp9xuNZELQb6BQYy4Eyqp8pmY3tpKVqlgpSIyAt2N5od\nDh7dtZMNxcXoVSoW9EkgKSCAgro63jl2hFq7nWi9L1U2zxbTBQkJ/HrIsHMGBHyUfZKXDx2gzuFk\nenQ0f7tuDAa1mk1FRfxQVEhCQAD39+l7zmSjgttiQaIxys46XsSx7BJ6x4YyfODVu8Oss9h44oXl\nrN12BL2vhuceu4mf3Db20gdeBYS8ags8vOxnHDdaeXDfYZJCdFTWOwlQ+rBi8hQeT9vFEWMVicEG\ndhRW8c6YcdwQ2VyDwe5ycfe2zVQ764ky6NicX8HgUH9qrE7yzRZGRPpxqsZGSngkfx01ptXaB0dr\na5i+7nt6+mtRSpBbY+ObG25kwO1DKQtQENnn7C3jqfwKbr3/78T6qah3uHGotXz94S+aaf12NYTD\nvjiuX9/CqqJSkkJ8yCy38PSgIUyOiGTuxg0MDjNQa3Nisct8fcON+LXQLHSgspK7tm7muqhATtVa\nyDfVMykmmK0FlfhpVcQF6sgos/CfcRNJiWj9TqHn0/fwUU42g8N9ya62EqHTs2nazHOc9ru2ccy6\nq4D/7TnK6+/8jwHheo5VWLhn/niefnRWu3w+nZkrmunYFWmQmXz5RC53Dw1mSnwgblnmlW1F/Co9\nney6Grbe7SkUbi+o4qE1uzk4Z26z83yWm4ukcrJp/hiUColVx4p5Mz2XEks9L0+JpU+wDpvTzVPf\n57GzrIzxPXq0an0P79zBDXEBPDTC8/oPD5TxyO4d7AwJaZbH/s1rXzG9py/z+gcjyzLvpJfz9/c2\n8OtfNC/uCLoH1UWnWZ1fzBuzehOgU1FqtvPE9wdYV1TEoyNieWxEb2RZ5uEfMnjn6BGWDB7S7BzP\n7tvDHyYn8uN+UbhlmR99mU6wj5pIPw0vT4lFrZQ4UFLH42mp7L+l+XejJexOJ++fPMnr03rRO0hH\nvcPNI6tz+CA7m/sTzqbWFml38rdlQ/nbuu/467RYehg01Fqd/OKz7dx28yjie137HHdnoWtPWb0A\nDTKTxZZ6BoR5xJMUkkRiiI78OjPJPfwbC4WjIwMprbeeM4OxgSJLHaMiAxs7GcdEBVFosmJzA5If\nCAAAF6dJREFUycQHefLUWpWC+CAdRRZLq9dX67QxMPxshDwg3BdTk07IpnnsouJq+od6UhKSJJEU\nrKGo6MLFHUHX54ZPf0W0n4YAnSce62HQEKxTU1BXx9goT2pEkiTGRAdSVF/X4jmKLBZGR3pqKQpJ\nYkx0EHnGehKCdajPSOz2D/WhpN7a6judwvp6FBL0DvLYq49aQXygjhPG2mavneneSqCvmh4GTzdm\ngE5FTKCO4vLmr+1OdDuH3VQ+dWRoKN8crcbllqmpd7LtlImUiEi+zy0nu7rOs2sg/RTJocEtDu8c\nERrKymPFFJk9Dv2NvbmMjAggxk/LmhPVAJyusXGwtK5FwagLkeQXyLdHq7E63dicbr45WkW8wR+A\n8Fo3suus8x6VHM932UYcLhmz3cWGvDquS+5zoVMLugF9Db4UmhxklnmChNR8EzanzJiwMP6xPw+H\ny0211cFHhwsZGdzyNrqRoaG8te8UblmmpM7Gp1mFTOkVSmqBiRKzHVmW+fpoNcNDglud6uul16NW\nSPxw0hNw5FZbySi3cGML6cZYvR67E3YVmADILLOQX2MlMb51d6ldlW6Xw24q8FRts3Hvti0cqKrC\nLcv8fMAAlgweykfZJ3lhXzqS5NED/mBCCrEXKDy+kZnBnzMyUEgQoFFTa3PgQsZP49lXLQGvj7qO\n23q3XqrR6nRy/Q9ryDV5thXFGvRsnDYTg0aD/zQXWX5xjXlsS72dny75gM27TiDLMnfdeh1/eO62\nc3KCXRGRw74wDy/7GVlWDQ/u3I7D7cKgVvPRxBSSAgJZvHM7W0tKcSOzoG9ffjd8RIsOt9Jm5Z6t\nW8iorsYly/iqlLhkQJaxn+najfcz8PHEyUTrW9/wsrawgEWp27G7ZGTgwYQEfpc8ssXX7qus4L7t\nWzE5najVSv74y7nMneu9+uutReSwz3D+vtRqu52iegv9gvyosto5WluL0+3mnj59uTMuHrPTSYBa\nfcEIwul28+mpHPw0SkJ9NBSYrbw1ZizTY2LQKhTUOhz4qVQo2+g8dSoVqTfdQqXVihsaZVfBs/2J\n286+1tdHwwdvPkSdxYZSqUCnvXo7RASdn4atqrlmEwpgQIgf2dUW8urqSA4J5eNJkzE7HKgUigvu\nEAE4UFlFVm0NPf18qLLZ8VNp+HbKNMJ0Otyy7BGFush340JMi44hZ96PybdYiNTp0FxkYERySCiH\nbplLjd2Oz8x4KoKUHdpc0xno2mFYCzTdl7okPY3Fw3uy5SdjSL9/AjVuC8tzcgBQKRQEajQXNcgl\ne/fiq5XIejCFtPsm8NsJiTy/fy86pae5JFCjabOzbkqITneOs27K+fux9b5a4awFANSrg/lTxiG2\n3D2WDXeO4bv5o3hqTxpGu2cLnkGtvqizBvjFnlT+b3wCexZMIOuByQT6KPn9wQMoJAmVQkHAJb4b\nF0OhUNDLYLios25AkiSCtFp0GwsJr3Wz5pNoirPLKc6puKxrezvdxmG31PWVYzIx80xqQaNUMKV3\nCDkmY6vPedxYy8y4MHRn5s3N6hPeOGD3ahJe60a+gMyroPvSsPspr66OxCADvQI8hetBYX6E+mgo\nrq9v9bnMDiez4j0T0LUqBbP6hHPS2PrvxtVAs76ARdqdhNe6QZYpzqno0EayjqDbOGxo3vXVPyCQ\nT7OKkGUZk93JdyfKGBDY+rH2w4JD+OJ4CTVWj/P8JLOQgDPzGq8mmvUFV/0aAu9j7LOfIyHRx8+P\nY1VmMis8BbudhdXU2BxE+/pe4gxnCdCo+SSzAFmWMdqcrDxW3KbC+dVEs76A8Fo34TUuZKeD4pyK\nbhNxd8kctux2YywvQqlSow8O56cfPNZiC/qrI6/jji2b+PxIMSa7k1nRMQwLDsbkcLTYTHA+vxk2\njN3rS+n3n82NRcZPJk5un/cgyxRaLLhlmZ56/WXffgq6Fg5rPabKEgzB4Wh8mhf7GnRxXhkxkpn/\n3UOYj4Yqq4NXRoyi1FqPTqlE1Yo03XvjJnH7lo0sPVxAnd1JHz9//pA84pLHtQary0VBXR1hOt1l\nBzgNQUv4VI+OfFmAojHajujVdQW8upzDttWZWPP645jKCnE67MQMvI4HDW6iQ5rv0oj09WXD9Jmc\nNpvJqK7m2X17Sa0oo8Jq59URI5l3iZ0dkiQxJiycY7W1uN0yPbQ6YtpQMb8QVpeLB3ZsY39VBQpJ\non9AEMsmTEJ/Xs6vuxdguht5h3ax7q3n0fv5Y6qtZvKDvyZhzI3A2XRIA3N79WZKZBRFFgtLTxzn\n6b1pnskxKg2fplxP1CWi7UhfXyJ1PlTYrUh47Lw9goaGnR8+KgUV9Xb+b+gwFiRcvmZHU8e9bHUP\nZt1VcE6apKs57y6XEkld/jf6Jibx9vdpvP19GlprDR81URE7H5VCQZSvL8/u28t7Nw1m/8IJ/PDj\nUTy3L53CupabChr4Nj+freVFZD04mZOLr+f2QRE8uWfXFb+Hv2VloNG6OPJgClkPTiLUT+LVjEPn\nvGaAKRc6aFub4Npjt1pY99bz/PL1f/HGt9t58T8r2PreHzBXlQFnm8Ga4q/RcKS2hn01ZRx+YCKH\nH5jI7KRQfrln9yWv9+SeXczpH87Jxddz5KEUdleV8FXe6St6D7Iss3DHNl67oR8HFk5k20/G8mrm\nYY7UXHkeuml+e/WHPVj9YY8z6ZJySk7XNP54O13OYVflnyTllvkoFAo0Wh1jZs8nx3XxG4miegt6\ntZKUnp6BogNC/RgY6seJSxRZsmqqualPOEE6z/amuwdGk9kOxpdZU83tAyJRKxWoFAru6B9JZk31\nOa8xrr14lV/QtTBXFGMICKT/CI8gUa/EAUTFJVBTfNaJNkxEb0pGdTW3JIQToD1jowOim9lSS2TV\n1PCTgdFIkkSAVs3shHAyqi993MWosdsx2h3M7utpfokL8GVsVBBHa9vPkTY47kXancSsymPNJzHn\nOPCmztsbHXiXc9j+PWLYt20DAG63m8Nb19HH5+JCSD10PtTYHBwu9zjoQpOVI5WmCzbLNBDn58fm\nvCqsTs+YpLW55cRd4pjWEGfwY21OBbIsI8syP+RWEGfwa/G13mh0grajDw7HWF1J/smjAJQXFVB8\n6iT+YdHN0iFNifPzZ+Npj3wvnLFRv5Zt6dzj/PghpxwAm9PNptNVxPn5X9F7CNBo0CgUpBZ6HH9l\nvZ29pTX0voBttwcNznuRdidrlp913hdy4B3lyFt77S7X6VhXXc7XLy/G398HZ42RKAn+O24cvpfY\n8/l13mme2buH/iEGjlWZeXzAIBYn9bvoMS63m5/u2sm+qgoi9FryjVY+n3w9/QJalzcrra/HT60+\nZ20ut5sSq5X7t2/FJjs8OiUuBSuvn0Kw9txxRZ1hbFhH0R07HY/v/J5ty/5EdHwSRbnHGXnbYoZM\nu52Hl/0MlaRuMcJ2ud08lLqdwzVVhPtqKTRZWTH5BhL8Ay56rRPGWuZv3ki0n44yi43BgcH8e+yE\nVvUVuN1uiuvrifTxOafj1uJ0sq20hF+k7SIp2MDJ6jru65PAMy2IT10L3rWNu+Bzs+4qQFJdu74G\n2elgzXJPAfVXX/yse8mrOu1Wxr71EDqlhomxia2qigMUWyycMBrpqde3KgoBT17ucHU1JoeDwUFB\n+Lei6n3abGbW+u+ptHoaGcaHh7Pqhqksz8nm+fR0ZGTi/Qz8cuAQwnQ6hgUHo22h0eH8NvXuRHd0\n2ADmylKqi07h3yOGgPDoRl33iw0qkGWZQ9XVmB0OhgQHt2oHFIDJ4eBQVRUGtZohQUGtKjq+lZXF\nHzMO4pZBpZB4bcR13BwbyyOpO9hYXIwM3BkXx+yesUT56unrf2VR+9XiYs78arFIuxOAsE+Xd6/W\n9CT1MkYEB7R52kakry+RbdirCp4v7/nTpi/F/M3rGRrpw09HxWG0uXhm3WkeTd3J1rJittw1hr5B\nvryWlsM/jmWxeur0C57n/DZ1QdfHENIDQ8hZASTzkcxLTk2SJOmy9lD7qdWtlgQGj477KxkHeSEl\nhiE99OzMN/JU6m52V5Sh83GR/8gUzA4n877Yx5C6ECZFRF76pB1Eg/PsbHS5HDZceFJ0Z6HUauW2\nASEoFRJBPiqm9wlkV3kZM+LCSAj27Ll+fGQc6RVVLcq6nk93aRoQNOfGDzIueyZpe7OpuJgYfy1D\neni2to7r6Y+vRsnO8lIeTe6FRqkgWKfhvsHR7K0s7+DVeiddzmE3yKd2ZnRKJUfKPW3Cblkms9xC\nqM6H/WVG7C5PcSituIZwH12Lsq5NCa91X/X1CjonFys2dgSJ/gEUm+0YbZ4ifFmdA5PNRbSvnt3F\nnmKaLMukFdUSqWvbnazAQ5dLiXT26Brg98NG8sSeXWzPM1JpcVJrdZM6azrPpO9h0ie76BesZ2tB\nFX8ffemZcqGK05TJrZduFXQdzEcym+297kimREUxNCiYn63OoV+oDxllFmbGRPPc4GHM3bSerXnV\nGO1OjPUufndDx8xL9Ha6lMNuSeCpMzI/Lo5+gYEsz8kmMFjDo/36YdBo+Pe4CWwrLaXCauW5fqNa\nVfgUeezuy40fZBDcyYKTb6ZM45Psk+yvrOLBUT24tZdnfZtnzGJbaSlahZLJERH4tEKpT9CcLvOp\nNdwedvbouoHBQUH8ccS5wu0KSWrTQNOmiDZ1QWfh7j59ufu8oUchWh23xnrHd7Mz02Vy2A1KZd0R\nTx5btKl3J7zlblLQvnQJh90wZaOzVMuvNZr1BcJfd0O85W5S0H50CYcNdFtnLRAIug9en8NuiK6v\nlNL6epakp5FRXU0vg4E/jbiu03ZhXYjinHIi47tf12N3o63pkLWFhfwp4yBmh4MZ0TH8asgwNJcY\nESbonHh1hN1QaLzS6NrldnPX1k0k9tDw5W3JzEoKZv7mjZiuwbiv9mKAKbejlyC4hrQ2HbKvsoLH\n9+zixUnxfHrrMI7UVfC7gweu8uoEVwuvdtgtaQBfDgUWC+U2Ky+OT6BPkJ6fDu9FtJ+Wg1VV7bDK\na4NxrVLksQXN+KGwkAWDo5naO4x+IQZeu6E/qwvzO3pZgsvEax12Q3TdkkJZW/FVqahzODHanQA4\nXG4q6u34qsRto6Bz0dYUoK9KRbHZ1vh7sdnWbHKRwHvw2v+59oquAcJ0Oub3jmPOqnTmJISzOa+K\nvoYAhgWHtMv5rxVrlscw6+4Ckcfu4rQlBXh3fB+mrzvBz9dl0tNfx38O5vP74SMvfaCgU+KVEXaD\nXkh7RNcN/DF5JA/FD6CsUsmsHvG8P2HSJXU8OhuLtDtFWkRwDqE6Hd/fOIMoZTC1NWreHTuROaKB\nxWvxygj7auiFSJLE/Lg45iN0OQRdizCdjicHDuroZQjaAa+LsL1BjU8guBq01xZWgffidQ7bG9T4\nOpI1y2MozhZaw10V0SDWvfEqhy30Ey5NZ52UIRAIrhyvctgg9BNai5im3rUY2m+bSIcIvMdhi/xd\n62mYvizoOox99vOOXoKgE+A1DhtE/q4tyE7vaasXtA5h/wKvcNgium4bIo/dtehssxsFHUend9jt\nJfDUHRF57K5DZ5rdKOg4Or3Dbs8W9O5EeK0b2eXs6GUI2gGRvxY00KkddnsKPHVLZNGn3lUQ3wEB\ndHKHLaLry0ezvqCjlyBoB0T+WtCUTuuwr4bAU3dE5LG9G/ORTBG0CBrptA5btKBfOSKP7f3c+EFG\nRy9B0InolA5bCDy1IyKP7fWIu0xBA53SYYvoun0QeWzvRgQugvPpdA5bCDy1P8U5FR29BMFlIAIX\nwfl0OocNQuCpPfFMUxdpEYGgK9CpHLaIrq8Swl8LBF2CTuWwQUTX7Y1xrZj87o2I/LWgJTqNwxYC\nT1cXkcf2LkT+WtASncZhgxB4uloMMOWK7X0CQRegUzhsEV1fXURaRCDoGnS4wxbyqQKBQNA6Otxh\nC4Gna4fIY3sHouAouBAd6rCFfOq1Q+SxvQdRcBRciA512CK6vnaIPLZA4P10mMMW8qkdg5Bb7dwI\n/WvBxegwhy1u+649a5bHILvENPXOzNhnPxc7pgQXpEMctiiqdAyLtDtFm7oXIHZMCS5EhzhsEV0L\nBAJB27nmDlsIPHU8YnufQOCddEiELaLrjiO81o3Ii3RORMFRcCmuqcMW0XXHo1lfIPx1J0VscxVc\nimseYYvoWiC4MGKbq+BiXDOHLQSeOg9rlseIPLZA4IVcE4ctBJ46FwtuykPkRQQC7+OaOGzRDNC5\nEHnszofoTRC0hqvusEV0LRC0DlFwFFyKq+6wReW7c+LJY5d39DIEZ7jxg4yOXoLAC7iqDlsIPHVe\nnpq9TaRFOhnieyK4FFfVYYsW9M6LkFsVCLyPDp84IxAIBILWcVUdtoiuBYJLIzqABa1FRNjdmDXL\nYyjOFoXHzoAIbgStQTjsbswi7c6OXoJAIGgDwmELBAKBlyActkAgEHgL8lUiJSVFxrPTV/yIn3b/\nSUlJuVqmK2xb/HToz8VsW5JlWUYgEAgEnR6REhEIBAIvQThsgUAg8BKEwxYIBAIvQTjs83j55ZcZ\nNGgQQ4cOZfjw4aSlpbXr+Tdv3szs2bNb/fiV8vXXX3PkyJHG3ydPnkx6enq7X0fQ+RG27f2oOnoB\nnYnU1FRWr17N/v37UavVVFVVYbPZOnpZV8SXX37J7Nmz6d+/PwCSJAZJdEeEbXcNRITdhJKSEkJD\nQ1GrPfrdwcHBREZGApCens7kyZMZOXIkM2bMoKSkBPD8VX/88ccZPnw4gwcPZs+ePQCkpaUxbtw4\nkpOTGT9+PMePH2/1Ourq6li4cCGjR48mOTmZb775BoBly5Yxb948Zs6cSWJiIkuWLGk8ZunSpSQl\nJTF69GgWLVrEY489RmpqKt9++y1PP/00ycnJ5OTkALBixQpGjx5NUlIS27dvv/IPTtDpEbbdRbhW\ne1e9AbPZLA8bNkxOTEyUH3nkEXnLli2yLMuy3W6Xx44dK1dUVMiyLMufffaZvHDhQlmWZXny5Mny\nokWLZFmW5a1bt8qDBg2SZVmWjUaj7HQ6ZVmW5XXr1sm33XabLMuyvGnTJvnmm29udu2mjz/33HPy\nxx9/LMuyLFdXV8uJiYlyXV2d/P7778vx8fGy0WiUrVar3KtXL7mgoEAuLCyUe/fuLVdXV8sOh0Oe\nOHGi/Nhjj8myLMsLFiyQV61a1XidyZMny0899ZQsy7K8Zs0aeerUqe34CQo6K8K2uwYiJdIEvV5P\neno627ZtY9OmTdx+++288sorjBgxgszMTKZOnQqAy+UiKuqs2Pydd94JwMSJEzEajRiNRmpra7n3\n3ns5efIkkiThcDhavY61a9fy7bff8tprrwFgs9nIy8tDkiSmTJmCn58fAAMGDODUqVOUl5eTkpJC\nYGAgAPPnzz8n6pHP22o/b948AJKTkzl16lQbPyWBNyJsu2sgHPZ5KBQKUlJSSElJYfDgwXzwwQeM\nGDGCgQMHsnNn68WSXnjhBaZMmcKXX37J6dOnmTx5cpvW8cUXX5CQkHDOY7t370ar1Tb+rlQqcTqd\nzXJ35xvx+c83nKPheEH3QNi29yNy2E04fvw4J06caPx9//799O7dm6SkJMrLy9m1axcADoeDrKys\nxtd9/vnnAGzfvp3AwED8/f0xGo2Nkcr777/fpnVMnz6dN99885x1QHNjBY/Bjho1ii1btlBTU4PT\n6WTVqlWNhuzn54fRaGzT9QVdD2HbXQPhsJtgNptZsGABAwcOZOjQoRw9epSXXnoJtVrNypUrWbJk\nCcOGDWP48OGkpqY2HqfT6UhOTuaRRx5h6dKlADzzzDM899xzJCcn43K5zokEWqpmS5LU+PgLL7yA\nw+FgyJAhDBo0iBdffLHZa5oSFRXF888/z3XXXceECROIi4sjICAAgDvuuINXX32VESNGNBZmzr+u\noOsjbLtrILRErpDrr7+e119/neTk5A5dR11dHXq9HqfTybx583jggQeYM2dOh65J4N0I2+58iAi7\ni/DSSy81br+Kj4/vtgYt6HoI2z6LiLAFAoHASxARtkAgEHgJwmELBAKBlyActkAgEHgJwmELBAKB\nlyActkAgEHgJwmELBAKBl/D/o5lQZwgfG5IAAAAASUVORK5CYII=\n", + "text": [ + "" + ] + } + ], + "prompt_number": 20 } ], "metadata": {} diff --git a/Statistics.ipynb b/Statistics.ipynb index ec8fdee..ce94c35 100644 --- a/Statistics.ipynb +++ b/Statistics.ipynb @@ -15,14 +15,6 @@ "Statistics" ] }, - { - "cell_type": "heading", - "level": 3, - "metadata": {}, - "source": [ - "Lance Martin" - ] - }, { "cell_type": "heading", "level": 4, @@ -39,10 +31,8 @@ "\n", "I wanted to published them so that others could benefit.\n", "\n", - "They draw from sources:\n", + "They draw from:\n", "\n", - "* CS229, an excellent machine learning class at Stanford taught by Andrew Ng.\n", - "* An Introduction to Statistical Learning (ISL), an excellent text by G. James, D. Witten, T. Hastie and R. Tibshirani (Springer, 2013).\n", "* A pretty good, free online textbook: http://www.statsoft.com/Textbook/Experimental-Design\n", "\n", "Some of the figures are taken from ISL with permission from the authors." diff --git a/Tree-based methods.ipynb b/Tree-based methods.ipynb index e07618e..7daeb80 100644 --- a/Tree-based methods.ipynb +++ b/Tree-based methods.ipynb @@ -31,9 +31,8 @@ "\n", "I wanted to published them so that others could benefit.\n", "\n", - "They draw from two sources:\n", + "They draw from:\n", "\n", - "* CS229, an excellent machine learning class at Stanford taught by Andrew Ng.\n", "* An Introduction to Statistical Learning (ISL), an excellent text by G. James, D. Witten, T. Hastie and R. Tibshirani (Springer, 2013).\n", "\n", "Some of the figures are taken from ISL with permission from the authors." @@ -44,7 +43,7 @@ "level": 4, "metadata": {}, "source": [ - "Tree -" + "A Tree -" ] }, { diff --git a/Unsupervised learning.ipynb b/Unsupervised learning.ipynb index 92544c9..b1f7bc2 100644 --- a/Unsupervised learning.ipynb +++ b/Unsupervised learning.ipynb @@ -12,15 +12,7 @@ "level": 2, "metadata": {}, "source": [ - "Unsupervised learning - " - ] - }, - { - "cell_type": "heading", - "level": 3, - "metadata": {}, - "source": [ - "Lance Martin" + "Unsupervised learning " ] }, { @@ -39,12 +31,11 @@ "\n", "I wanted to published them so that others could benefit.\n", "\n", - "They draw from two sources:\n", + "They draw from a few sources:\n", "\n", "* CS229, an excellent machine learning class at Stanford taught by Andrew Ng.\n", "* An Introduction to Statistical Learning (ISL), an excellent text by G. James, D. Witten, T. Hastie and R. Tibshirani (Springer, 2013).\n", - "\n", - "Some of the figures are taken from ISL with permission from the authors." + "* `Seaborn`: http://stanford.edu/~mwaskom/software/seaborn/tutorial/dataset_exploration.html\n" ] }, { @@ -95,7 +86,7 @@ "(3) Manhattan (k=1) and Cheychev (k=inf) and k-th root:\n", "$$ \\sqrt{\\sum (x_i - y_i)^k} $$ \n", "\n", - "(4) *** Angle ***\n", + "(4) Angle\n", "$$ acos \\frac{abs(x \\cdot y)}{abs(x) abs(y)} $$ " ] }, @@ -128,8 +119,8 @@ "%matplotlib inline\n", "import sklearn.datasets as datasets\n", "# Make data with four clusters (X are data, Y are centers)\n", - "X,Y = datasets.make_blobs(centers=10, cluster_std=0.5, random_state=0)\n", - "plt.subplot(2,2,1)\n", + "X,Y = datasets.make_blobs(centers=3, cluster_std=0.5, random_state=0)\n", + "plt.subplot(1,2,1)\n", "plt.jet() # Set the color map.\n", "plt.scatter(X[:,0], X[:,1],c=Y)\n", "plt.xticks(fontsize=5)\n", @@ -137,9 +128,9 @@ "plt.grid()\n", "plt.title('Pre-clustered data',fontsize=7.5)\n", "\n", - "plt.subplot(2,2,2)\n", + "plt.subplot(1,2,2)\n", "from sklearn.cluster import KMeans\n", - "kmeans = KMeans(4, random_state=8) # Random state is the generator used to initialize the centers\n", + "kmeans = KMeans(3, random_state=8) # Random state is the generator used to initialize the centers\n", "Y_hat = kmeans.fit(X).labels_\n", "plt.scatter(X[:,0], X[:,1], c=Y_hat, alpha=0.4)\n", "mu = kmeans.cluster_centers_\n", @@ -155,29 +146,318 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 1, + "prompt_number": 4, "text": [ - "" + "" ] }, { "metadata": {}, "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAXAAAACLCAYAAAB4O8JRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nuCmRwAVBENzU/wO1j/ZXTljt4QAAAABJRU5ErkJggg==\n", + "png": "iVBORw0KGgoAAAANSUhEUgAAAWsAAAEFCAYAAAAluMZSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n", + "text": [ + "" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 4, + "metadata": {}, + "source": [ + "Hierarchical clustering -" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "I just use `Seaborn` for this.\n", + "\n", + "It is very easy to plot hierarchically clustered heatmap of a pandas DataFrame." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "flights = sns.load_dataset(\"flights\")\n", + "flights.head(3)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "html": [ + "
\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
yearmonthpassengers
0 1949 January 112
1 1949 February 118
2 1949 March 132
\n", + "
" + ], + "metadata": {}, + "output_type": "pyout", + "prompt_number": 6, + "text": [ + " year month passengers\n", + "0 1949 January 112\n", + "1 1949 February 118\n", + "2 1949 March 132" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's pivot the data." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "flights_rect = flights.pivot(\"month\", \"year\", \"passengers\")\n", + "flights_rect.head(3)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "html": [ + "
\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
year194919501951195219531954195519561957195819591960
month
April 129 135 163 181 235 227 269 313 348 348 396 461
August 148 170 199 242 272 293 347 405 467 505 559 606
December 118 140 166 194 201 229 278 306 336 337 405 432
\n", + "
" + ], + "metadata": {}, + "output_type": "pyout", + "prompt_number": 7, + "text": [ + "year 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 \\\n", + "month \n", + "April 129 135 163 181 235 227 269 313 348 348 396 \n", + "August 148 170 199 242 272 293 347 405 467 505 559 \n", + "December 118 140 166 194 201 229 278 306 336 337 405 \n", + "\n", + "year 1960 \n", + "month \n", + "April 461 \n", + "August 606 \n", + "December 432 " + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Then, we can cluster it." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "cg = sns.clustermap(flights_rect)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAogAAAJdCAYAAACxuoYmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAcDnCxwX1fJlAAAAAElFTkSuQmCC\n", "text": [ - "" + "" ] } ], - "prompt_number": 1 + "prompt_number": 8 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This is a little skewed because the number of flights increase by year.\n", + "\n", + "So let\u2019s standard_scale the data (i.e. divide all the columns by the maximum so we can compare year-to-year on the same scale). " + ] }, { "cell_type": "code", "collapsed": false, - "input": [], + "input": [ + "cg = sns.clustermap(flights_rect, standard_scale=1) # Scale columns!" + ], "language": "python", "metadata": {}, - "outputs": [] + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAogAAAJhCAYAAADCAkHwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRERERExUEEVERETERAVRREREREz+H5cpeUh7XlVOAAAAAElFTkSuQmCC\n", + "text": [ + "" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can also normalize by Z-score:\n", + "\n", + "* Subtracts the mean \n", + "* Divides by the standard deviation\n", + "\n", + "So, each column will have 0 mean and a variance of 1. \n", + "\n", + "Each value will simply indicate the number of standard deviations away from the mean! " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "cg = sns.clustermap(flights_rect,z_score=1) # Scale columns!" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAogAAAJcCAYAAAB65lWDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", + "text": [ + "" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "There's some nice tricks for adding color panels:\n", + "\n", + "http://stanford.edu/~mwaskom/software/seaborn/tutorial/dataset_exploration.html" + ] } ], "metadata": {}