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@cjnolet
Last active October 11, 2021 19:17
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{
"cells": [
{
"cell_type": "markdown",
"id": "1b2e39cd-c319-4334-b887-35993f964b9c",
"metadata": {},
"source": [
"# Clustering Algorithm Comparison\n",
"\n",
"Example notebook showing the strengths of density-based clustering techniques DBSCAN & HDBSCAN on datasets with odd and interleaved shapes."
]
},
{
"cell_type": "markdown",
"id": "e415b0e6-8fbb-4f8a-a849-b06dbd68a8f8",
"metadata": {},
"source": [
"## Generate the data"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "5dd16f41-8440-4dac-9803-c06d4a953278",
"metadata": {},
"outputs": [],
"source": [
"from sklearn import datasets\n",
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "75264a1e-c73a-44ed-ba62-f7d558443216",
"metadata": {},
"outputs": [],
"source": [
"import warnings\n",
"warnings.filterwarnings(\"ignore\")"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "7ced961c-b1a0-4474-9e02-478cd4fe3727",
"metadata": {},
"outputs": [],
"source": [
"X, y = datasets.make_moons(n_samples=1000, noise=0.12)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "c9b0ee3f-98d4-4e52-acd4-a195f5daad30",
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "e309d47b-8a54-4807-83ed-e8ab68aea4e2",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7f2a25cff400>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(X[:,0], X[:,1], c=y, s=0.5)"
]
},
{
"cell_type": "markdown",
"id": "48ef3951-34ac-4720-927f-23a70ef140c4",
"metadata": {},
"source": [
"# K-Means\n",
"Even when we know there are only 2 clusters in this dataset, we can see that k-means just separates the space into two evenly-sized regions. It's not possible to model the interleaved and odd cluster shapes without performing some heavy pre-processing to project the points into a space where they can be modeled with fixed-sized balls."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "95ed38cb-436c-49f1-b6cb-0afb01abc05c",
"metadata": {},
"outputs": [],
"source": [
"from cuml.cluster import KMeans"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "fb8e4418-52ce-4015-b53e-a6d12129d792",
"metadata": {},
"outputs": [],
"source": [
"kmeans_labels_ = KMeans(n_clusters=2).fit_predict(X)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "7df4c7f1-3d04-418b-852e-63ef16ee0bea",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7f2930771760>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.title(\"Interleaved Moons w/ K-Means\")\n",
"plt.xticks([])\n",
"plt.yticks([])\n",
"plt.scatter(X[:,0], X[:,1], c=kmeans_labels_, s=1.0)"
]
},
{
"cell_type": "markdown",
"id": "0f8ba722-2b9e-4807-8d28-a1d515380119",
"metadata": {},
"source": [
"## DBSCAN\n",
"\n",
"While this particular example dataset tends to be a great demonstration of how DBSCAN can find clusters of odd shapes and similar densities, the `eps` parameter sets the radius of a ball around each point where points inside the ball are considered part of its neighborhood. This neighborhood is called an epsilon neighborhoods and it can be pretty non-intuitive to tune in practice. In addition, it's assumed that the same `eps` setting applies globally to all the data points. A little bit more intuitive is the `min_samples` parameter, which determines the neighborhood size within the `eps` ball for a point to be considered a `core point`, upon which its neighborhood will be expanded to form a cluster."
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "3c5623a6-9513-4482-9257-f63cd613ebed",
"metadata": {},
"outputs": [],
"source": [
"from cuml.cluster import DBSCAN"
]
},
{
"cell_type": "markdown",
"id": "82669db3-6278-4586-9846-e3e864545704",
"metadata": {},
"source": [
"As we can see, the default paramter settings of DBSCAN (and other density-based algorithms) make assumptions about the data that won't often lead to good clustering results. "
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "d2687cdc-7baf-4511-a017-e474a4189d2f",
"metadata": {},
"outputs": [],
"source": [
"dbscan_labels_ = DBSCAN().fit_predict(X)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "a95cfb88-d0b2-4c62-9e03-b7ab9958e53a",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7f2930730fd0>"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(X[:,0], X[:,1], c=dbscan_labels_, s=1.0)"
]
},
{
"cell_type": "markdown",
"id": "31a71d20-7ed3-4184-845e-5e6173a07092",
"metadata": {},
"source": [
"We can set the `min_samples` parameter to 10, but the amount of noise is too high for this alone to result in good cluster assignments."
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "08472a77-1ef3-49b9-adca-fde49b7f954f",
"metadata": {},
"outputs": [],
"source": [
"dbscan_labels_ = DBSCAN(min_samples=10).fit_predict(X)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "cfa6cdde-008f-4f3e-a51f-0e30a314c7ff",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([0], dtype=int32)"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import numpy as np\n",
"np.unique(dbscan_labels_)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "4c6ddf06-2f66-4d41-a50a-92435f7a4270",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7f29306a8340>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(X[:,0], X[:,1], c=dbscan_labels_, s=0.5)"
]
},
{
"cell_type": "markdown",
"id": "71cdd7ea-bee6-4741-8921-f31533b8a4ae",
"metadata": {},
"source": [
"We can introduce a setting for the `eps` parameter, but it's unclear how to determine a good setting for this value just from this visualization. Setting this value too small can yield too many small clusterings which are not representative of the larger patterns in the data."
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "1edd7b25-1554-4558-8779-da7991aca2ac",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([-1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,\n",
" 16, 17, 18, 19, 20], dtype=int32)"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dbscan_labels_ = DBSCAN(min_samples=10, eps=0.08).fit_predict(X)\n",
"np.unique(dbscan_labels_)"
]
},
{
"cell_type": "markdown",
"id": "734e4346-6f65-4191-bb57-962ef74d8041",
"metadata": {},
"source": [
"Increasing `eps` to 0.12 did the trick and we notice it found the points which surround the dense regions as noise (these will have a label of -1)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "b25b5c96-cace-4a4f-91b6-625ac8e89c6f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7f292cded820>"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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0PPTsu9Cdy5HCV4DqJZJUl/ZntDWNr0m9YBrghoKKAK2p8V+lUJGjT6QDVwMp+A8UfYRCgXszKvz82plmzD0Q9yx4NiLOlX7ndfuP6EWfVDKKFawdwNLG16kAPBuNtGfXWvCmlb0XCc2dYGLS2DBdEA0EPecucG9Ba7K8VsYTbxYoDVQcuNeCbYCxuq4lRC8GFem3eahn3wredLTUWbVzHe9RJPMyVNwTqMjLa2VME5OTjemCaMCIXgxihaibSx3LrtGYypKM0hKNjbGwswIaX3HMQ8+42DDWVZpvIZJ5KVI81f+6ie+iUqZXe97+A8ZD+DCwdq28rYlJI8M0wA0BPRNcy0vCxcS5HEk/v+QRX5xL0bNuQLfPQc8YWWWDGRQVD1oKUvAyesYlRiSGZ5dxnYIX0T1H0YumIO5t5fqFga0nKkBsslI2lKo9f6rSotAS/ouy9ai1MU1MGgqmAQ6CXvgBet4TNR5HXGvQs2/xy0YrjbK2QTVddaICha0HRN0CPlUy8eaCngHKBloc1JIrQYUPQsU8CI7phpIaCil4DfIfhaIPwbUSCl5C7GVXtEqFoSW+iQo/r1bmUR7xZiJFHyDVVHWrCXr27egFL53065qcnphylMHw7gHP/pqPo2eCZy+IHYgN2qx0ZILSklBxjxjRAjn3QtiZqPj/gLU9KmJYzedUmrCzUSlzwdLa8OfGPw16NmhJoBIRS0vIewQ9/CKU9yhEjvaLotALXgW8NQqZK4NrOVLwEirsLEOM6GSiIo2XiclJwDTAQdDinw16TkRAilBa5aIvKmIkKmJk9SYhdkMM3bkcwQtRN0DURLC0LePTFb0QKfwfKuomlLVV2SH0PCRzDMTch1ZGp8E3P6XA2ubEey3JML7HsbZCLE3Bs8tImrCkQvkS955dQPUjFcR7FPRclK27cSBiLMrWr0x8cJn2nr2IfQYq5p4KMwQBRDxI0buoiEsDukzKo9W10LyJSSlMA1wNpGgyFL4CqQvqtHKw0uKRlPngWgoqBbQoJHM0Ku5pJHI8UjwNnCsg5k4o/gxsvaGcAUZFgK0HylJ5YoO4NxkxyJYWJ7pbWqCSvzA0gm19A65Ia2q0JO9v4NmKavKLcU2lQTDjK4I4lkLRexB1JVhaVjy4ngmFbyJEoGKqpqdhYlLXmAa4GqjwcxE9A7REv3OiF4KeE1Iml4jdWPlZmge/lncXkv8viLwKYu5Dxf4VwgeDcykUPAeEo7THockvKM3fxaFUOCqxvDZDkPlk32FsriV9EGAcDcL6GO3ss5D8f0JYP4iYgBY5opL7dIH3CMraLvA9xv0d9NA2FqXgWXDMhdTFxmq8EpSlGaQuBi250rYmJicbcxOuGihbV7S4RwJWHZb8J5GscUErCpdt+08jnEvc/ue8RwytBa01xPwZ7F+inEtR0Tf73AAXohL+h2q6CnAj2ddWqVKxiBc96yr0oo8Q12r0wncgYRIq7h8B2krZOVpbG8bXvR08lYv6SNFHSOZlhqshAMraIfQqHmHnQ8QlKC0ltPaAsqQ2mqoeJqcX5go4RER0JPsmiBiGFn1r0HYq+i4IHxrSB15F3Qi2gYHLx+uZRrqv5ED07RB+DlhPpP0qFQYRw425oYCqVoFQoKJARSCF7xpuDktbJPoPqFI+YQDJfwKcP0HqUiNLz9Y74KpaxAFofn5ZFTkatBgk92+IFoGWWFaWUpw/g7UTytI06Gx1+wwomoxKnoqKGFzFe60Y8ewF9wZU5LhaHdfEpDJMA1wJ4j3q2xmPA1W5oVO2bmDrFtLYytbDCDkLeK43qunqEwdsPYOPY22PSvkhpGuW9FEaKuljAPSIsVD4ITjngOT5Nw4fAireL+utPJJ1jZEdl/x52WtZWkLU9UZtu3IRFCJ2JOduiLwCFV9R5QwLdfXAJkUfG6JFESNQ5SIgRC9CaSenJJTJ6YeZilwJevr5YO2ClvRhyTHx7ANLU78PayiIuMC5zHAhBFr5ngREdJTSEPGAZxtYe5YYVxG7cV7PDBqFEAy9+EtQkWiRY6o2H9casLT31y0uP37RZEBHi74t8HnHEnD9gop9FKUUevYtYO2Gin0o4M9at88Ax3yI/zdKT/eLkhDnCiTnLkN0qJqFTk1MwExFrjYq7imIGI54DgHH03DHIAUvhzyGiBs998+IcwU4lyG5/wfO2tJ8OOJLWjB8tHrRh4hrrfH/4uno2beVEbOR4ulI+pmINw0cM5Csq8G94cT5rKsgcyySOQrxHqngnqTcex2Fhgo7u5L5HkMvmGSkX/tQYQMrNb4AOBeDw1+3V5wr0XMeNEL2HLOA4/53DYo/RgpeCTyeZx94dhsblT7jK95jJ3zV1s4QdTVYO1Y+NxOTamC6IMohejZS8CIq5j7j0Tl8GKT3R8J+QSX+D1Q0Ku5pYxMq5EGd4FqJ2Hqhom5EJbwBtaROhmMRUvBfcG+B+P8YIVcRI1BhA0ByjaQKdIxHeMDW2Yii0AyNBRXngePxtwBRN4HuQim9RJ2tPHrhO1D8EaQsPPF47j2I5D+Jiv0LBFmhAuBaDUVvQ8QQ0HoFbWYItk+EyCsNf7h3HyrxI8S9EXGuQIWfe6KtZ6dR2il5Niru7yUx0irxA6T4Y1TYuQGvocU+ALEPlL1uzh9AHKjU2cbmXTlxeROT2sR0QZRD3BuQrOtRiW+gwo0KDuJaD5ZmFW4SVetaepFhOMIuqtC/Kp5dYGkTMOngeBkg3OvRUucjep4haF6H7g1x/oI4vkPFPYtSJ77Dxb0V0ZpB4WtGtEaAxAcRAf1YpVKbIm4k53aImACun8C9CZUyB8m+HvRjaKmLKp+n2IGISn3XZfq41oK4UeEVr+RNTKpCMBeEaYADIOKqNMOqVq5T/BmS/y9U8tdBxWbEcxDJHGmUJoq6Fcm+ASKG+0ViiEiVDM1x9II3wLsLLSHIY3oVEc8eJHMcKv5ZVOTYWhlTz7oN3D9DyjJjH1SclcZZi16AZFwEUbeixf5frczDxKS6BDPApgsiAHVhfMW903gcjn0cpUUZByPGobTmvqKUQbC0QMU9gVh7geiABgHiaUMxvqLngOhl/a1SAHp+6Pfh2Y04FqCi7wgocamsHaDpqoAblHrBS+Bchkr+tmpfFlE3gF2hLAmh/25UFEReXfIUY2LSEDE34U4Wnk3g+KEk40s8e5DCNyD8vKDGSDy7kLzHEWtvyJ6IcnyJihgCxZ8akRhVRLLvQLJvLHNMi3sULUDmW9AxHPOhcJLPtxyYoNEhltYQJBuuIrTIoWhJH1Tpi1EpC1rcoyhf9t7JwOv1UlxgP2nXM2n8mAa4moheWKVSOSryclST1ScenV0rofgTKFVV2A/PTiM2V1kh+h4IuwAiLzeU0SxtgvcLNofYP6PiHqm0nYgLca70i3QAUNF3olIXlUkDFu+RoFlupdGirkZLeLVarpKTTVVcc8eZdN/73ND+Xrwes4SSSWiYBrgaiLiQ9IuQjOGI63cjVVfP8Wun239Ez3kYPetGRNxlV3CR16Ka/OynXlYaFXEpqskacK0Ba1uUtbUhVRk5utJMOxEPeu4jRujb8fHCz0OFD678Bu0/IDm3gXu93ymlLH4CRJJzJ5JzV+XjVoJe+B56+nnG5mQdIM4V6Gn90DNGG0khwdrp2Uj6IPSiz6o0/tDrLuCKP43GYq290k8mpzanvQEWvRA972+IZ3fA83rR5+jpQ8oJqtsg6irDf+o9BMVTkfQLSmKFS7B/A64VIAWIYzl6/vMlKyulFEqLq3R+StnAPg3sX1Xtvrw54PgBKf66Sv0AiLgE4p5Cij7zv6dAc4x72oiXDoCe/xx65uiQLqtsPSDsHChVUUO3/4ieeXntGGVLc7B1ASkGcSP2WeiubUZyTJmJxED4+Shb1cog9b6wB9f/7Yqaz9PktMHchNMzwD7T+OAHCLhX1taIrUsZo6CUQsU9CnGPAj4tAf02KLcyVInvIK41KBWBOGaDYwbE/gWoOERMvFmgH0XZjDhZlfw1oHwuD3dIZeWVFm1s3EVUrFQWuG8M2HoYKmxRo/0lLsu3DxuI6LmBT1q7hbzJp8LPM8odOZdCifB8dXQu/BHvMaToQ1TCmyhLMqIXIXmPAlYk/BxUKX0KpcJQCaEn2piYVJfTfgWsrO1RTVcbgjGBzoefj5b4ToUbQMraHhVxqZE95t6CiMNIVtCzoOAZJO8JQ9FMxSKZo9DzKg7ul4J/I1nXG6nC+AyCsiF5jyIZF4d2X1oUWspXaJHVE4NXtl6Q+AbiXFqpsps4lyDp5xkpxeXQoiZAWF/0nHtC8qtKwStIwXPG//UiVMQwtJTpNddj8OwG+7fg3QsYX1AqebrhW7edWSV/volJbXHKr4BFzwEVU2FiQq2Enakwo8ilCgPPHih8zVgRR94Ihc+Dd7+hZqbnQ4AkBBEB72GUtZVRpy1yXJkkBwAixkAIVR1qDeevYJ8FsY8Apd0CMwDQjsf5WnsaGXTWzoHH8Wb6NhuFSsWMEt8En0tAsiaApSWqlA5HVRER8Gw1Si81XVO29JOtM+jpSM6dYG1huF5MTE4ip3QihrFZdjZEjEOL99e5Ndp4/A1dbVzbexi05uDdgxS+iYr7B0qLN8455hs12Eqppol9JpL3CCrp85MaOlURxt+Gx+/LS880/Jxayjd1en29aBpYUtEqqYMn3kwk6ypU3F/9yj+JcymScw8q4Q0jhK98X3GAfQZEjAqpxJSJSXU4TcV4bBB9LypyfMkREUFc640UXr0QST8HvTC0ihGlEc9u9MxxiNtfkFw8exD794COsnZCS3i5xPgCSN5jSOGksp3CzoaYB8HWxUgnbgAopQI+OajkT1HJnwbsIyLoBS+VCAIF47h7pSK06GvKGF/RcwKK16PCjRjj0rXsjmM7ExX3BISdFfAaSkWgoq6u0PiKXoSe95Th6zcxqUVOaQOslEKLuaPsitK1Esm+Gsm81NCmjRhpCNdUEfFmGCI7+BsScSyCwjcNERlAt89BLzqhkauSp0PsI0YNtuPHLCloMXeD8yck/dwy58qjZ9+MHkzh66QQjhRNMzQq/HBC8efGKj8I4jmApA9E7DON986fEOevFV5R151GpEnuH/3OKS0WLXmKUUXZ71wUKuramvmQ9WNGRIt7Y/XHMDEJwCltgAMS1h8iRoOtH0pZ0eKf8dN6Fdcq9OIZQYcQ9ybIuR0Vcz+gGSvhUplpKvo2iHkYKfbFkdqnGUkXx89b20DRu0jWtYg4yw5u6234Uy3tgt+DijZedYh4M9DTByOOuQFO5kHhyyUGtMzUVAQkTQWtefDNOy0Jwi8pqfAh+c8Zim6VoihRdTtJiHO5Uai06So/bQs9//l6/iI0aeycdgZYqXBUzJ9QEWWjCcT5E3rmGCMIv/BtKHzJr2/JY7OlA0Tdhaho45G43EpYKQ08v4HTUOxSie+iyvlLVcy9Rk23UuFtAMrSHC3ur8ZKvVQSRWm0xDfRYmqe+FAe3bEIvWiKbyIRRmXiAI/1SktEpc5HxdwXeCDnIij8L+iBs/yUFoOW8ALKZhhglTQFlfRuhXPTtHBUkxWoUqJB4lqLnvMn/y+xaiCO2ejHzkYv/rrEBSTeY0jOXUjRlMDp1d4DxuaqiUk1OeWjIAIhRe+C/RvE0hQV/zIqrC/GysqnI5swCSj7oZbir5CC5yHlR0NKMaw3knufsbmTOsfvGir+FYxd/8BRFsrSssKS6lLwX9Diy+jeVoRe/AU4l/uMejXjZu1fGOFa0TehtNiSkkWBqEhOUkXfARGjK5WcPDFWE8S1FtFX+W2ilWlXruqzuHf6El2K0J0rwbMJLdiXQmVYWoK1K+Q/Yazwo2835EcT3wtaDkpLfKt61zIx8XHaGWCjJNAqI6TLu6ukRpmRpnteqZblHvFtPYwwJS3BeB9+tk+YfRAAesH/oOg9iLoZLe4vPiNY/QQClfSZoQERKt6j4D1c7esBqITXIdAmV1XHUTajcnIVkMLXjeoUFRjg8mjR1yBRE1FKIc4fwbkcib43uLiRezvgDSj9qWy9IWmyYdBtJ/YMyv5NVHIP4gJsjULrwqRhcNq5IMAC1jaG4fRmlvg4xZtVYVl3ZeuJFv98SRypUpGoqKtOSEvquYATPNtrZZbKklwmcqIytNg/GgkLNfjwK2U7cT8nGZXwP1/GX+WIXojohUY/3/2quOdQqQsrFrbP+yuS+6eKx7b/gDiXhTjr0nMqMpJRyke3mJhUwGm3AlbKgkp61ygz71pR8ngpBf8yao41WRtQ57YytPgnId4sX1NdDPdCbKXtAEOUHkFUGETdhRY53Pc7q/j3phJehgoz3nRwrwEtGSIvLXtNcUPxFCNe2NI8wOCREDkWFX5OSPdgYgKnkAEW0Y2MpojhaFHXVNxWLwQVjZZwYuddxfzJKI0eovE1khT0ahlrkxoSdSuIB+yTAVdlrUtQ1g5GTG/2HaiYu/2iX5SyoFIXBOwrnv1Q8KIhaB9zp//YSjPijU3qnCO70xARWnYK8EXYyDiFXBACeh6UUi3Ti6cbIWJyQiRbPLuQ9HMMYZxSKGsbVBUKZUreo0YscUVtij9H3FtDHtOkcsSbAUVvgeM7tJQf0CIvO3FOL0AvfDu4MBCA2A03kTetStdV+HzjKtLIsAwgP2pycnhqwn/5x+WhhC02fE6ZFbBSFlRKOR+iCjdK06Ch5/4d9HRUwqsQdQ3YAlc1FvEYYulhgyoubBl+AWiGKLno2UjWRFTsQyWbSCIOpOAFiBiPin+q5jd4GqNn3wSWtka2W+GLED4eSokM6UUfAeEoa1so/B/YuhmVnwOgLCmoJlX38WLthkqaCraeSP6T4FgITVb6PQGJZ5eR+hz/YoNJKT/VeOiDe6EagvkNkVPGAAdCi7wMfCsk8aw3QqyUDS3ub2Xa6cVfgkpEixwOrl+QnLuNeNMKxFm0yNFQoqAWBloTUCd8mEpFQMoc0BJr/b5ONfTiGShrs4CZbIBR/cPSBmz9QWsDMXej2UpJhzrmGF+2UR+jUuZVGN4XCNHzkZzbUTEPoMIvKDu3vCdBCoyipWH9jYORVyPWHkHcT2Gg4kqia0xqn64D/WVjGyunnAEWbxZi/xIVdTNKizpRLTj2ISh4A/ScEt1eEQ/Yv4ei9w2Fssjhxso34ZWgK6hAKC0GlTzV/3iIcbCnPYUvIdaOqKTABliL/9eJN038fbQq6TNAGb/nSrSLA+MFvQjE4X9KRVA+3VyF9UcdN8alEPGAZzMq6ZN6iyYxaVw0Kh+wuHcgxVPRdR09/wV0xxL/Rq5foXAS4t6IrutI5nD0vKdQKgo824zspeN4diL5T0DUdajE9wCf9m7EJX4ZaiZ1h0r51pf8Us3+ylKmRJN4DhnhZKUeU3X3JvRjA9GLvvTvryWipf6IihhutC36GD1jOCJ2tLjH0eKfq/D64tmF6MXgXofkPgTOwBt5JiblaVwG2P41kv8CSKGxieZc4t8o4lJI+hxy7gL7ZxB+IYSdiQo7C9V0LSqslCKctRsq+QtU1HW1YnD1omno9oU1Hud0Q2lJNRdcL4UUT0XyHgPJR1y/Ic5fwLPf+LuR4oB99Pyn0TNGIu7NoLUEawfEuRK9+PuyY7t+Q8+6ytgMBETPQzLHG/G/toHGF3nESPTir9AzhpUrZWViUpZG5YJQsX+B6NtQljgkdQmBpq+UAlt3JPIKsPU2Cltakn3njJRg8WYh2dejYh9GVaI1WxnGZtsrEDEKCv5haABHVqJfK16f+HrVKxubVI6KuR8ix6O0ePSCZ0HPR0udh0SMKknUEHFgZK35/LiW9uD9Csm+GeJfQ8W/guTcDe6N6J4NaMdDzKTYl3RzPCoiDhX/L7ANMFbhvsw50ZoYgkoVbeSanPY0qhWwUmElflWlgqd8KhVmJEYUf4JkDEN3lyu4qaygxRnB8zXFmw7Fn4F7G0TdDvEhqGPZpyGZlyKePTW/vokfSosuKaipEt5EJX1k/L/U34tkXILk/aXkvRZ9k6HHLA7IvRXJfQiV+A6EX0TpaiAq/Dy01PkoS4uSMVXkeFS51GulNFTsgyHV7zM5fWlUK+BQEL3AKAmkJfuOFEPeA5Ay60Qj7wFDoNun41ATlLUNNFnhK3sUYhpw+DBUrNMIqzKpU1S5QqklRF1fIod5HC3mTnTnz+BeaTxpaVGoxNeqdV3JewIsrYIK15uYwKlogAvfNFJGrX3AuwciLoeoG8u2cSyB4qkQfadRx60cun0+FH+ESvogsAxhOcqrdFXa3tIMom+rUp+Tye7sLL7dtpUHB52DzXJqZvoFk/M0VsveGpepUkmfljxhiWMhoAUsiWRyetPoDLC41oN3Dyry8oDnVfTNRrymtTPouT6pyXJtYu6H6FuDl6GRIvAeQ/RClKUW3BSNjKX79/HBb2u47ozetIiNq7CtR9exao3Kk1UhSimjxpw4UNZ2Ve4v3jQk5z4IH4IWe79xrPBVEA2sHYxkEZNqszUjnWYxsSRGnhqfy0b3yZGiD5D854OeV5ZmqIjhKGu7EuMrIuiZY9Dz/4Ne/A1S8L8Ka4CpsAGgH0XZv63t6TcKbu3bnxW33V2p8Z38+zoGvvcm2fYTkQVOj4dl+/fh1SsuZd+QkdwHkZwTTyh60SeIa3WIff9ihDuWStJQSZ+CrTOSNdYnWWlSHTy6zpVffc4zPy2u76nUGo3OAKv4f6NS/EvhVIq1K1g7QsFrUPxexW0trVDx/4HIK6o3SXzVeD0HKm/YAFFKhbTC6NO0GZd07ERM2IlNqrm7d3L7D9+y+kjNtIlrghRPQ9zbqt1fxf0DFf+CMZYIFL6OFH9eSa/jfZ8w/s7sJ7RGlBaPivkDKu7ZgOL8JqFh1TQmXTqGBwcFLlLw57k/8tjCACW0GjCndFn6QOhZt4N7JarJ6jrLVhJxI8cGQsSIMoprpwN2t5sl+/cyvEOnenFNiDiQY4MgcgJa/D9qZ0w9D1QkSoUZcb/5/zJKSlnbB2yvOxaBXoAWNa5Wrm8SGo8vnEeYxcpTg4fW91T8CFaW/rQzwOL6HXEuMurCVVO8XJwrAalQ+1XcW8DSDBWoVLpJnSLeo0YhzTrIZhTPLiRzLEReY4Q6moTM9jW7ObjtMBffcGF9T+WkE8wANzoXRE1RYX3RYv9co8oRUvAcUvBsxdex9Wg0xtfl9ZJVHDhDbMr63/jo97UneUY1Q1ma+xlfERd6xgj0wrdrNra1E1i7g+eEzKg45vjKHZlUxJf//Z43HvyQqiz6ypNtL2b5gVOnEOppZ4BrA5X4ASrxw/qeRo05UpDPNV9/wZ/mzmLIlA9wef2rRczZtZM5u3aWvNdFWLJvLw5PzWvHnVwsRtyvpfIoBNGzkeIvTlTBLodK/hyVZFSPFhEk73GkKHiBTvEeNvWDgb98cA/vbXipRouf99et4bYZ04MuGGrKqtm/MSHlVg5sOzl7GA0mDC0vM599mw7SZ3DgCrTVQcRVKv04w/dYWnFcq174Nlg6oEWOCNpGWVJrbY71SbHbzcH8PMZ27caA5i0JCxDz++mEqwD48Le1TF6/jn8Pu4S7Zn7Hc0OHc2WPXid7ytVGKQsq8fXQGjvmIvnPoGx9wZdRV3assFL/V5D8HWgJiHuzkcoc+4ihmGbtBIBkTQRr55KMvNOVyJhIImNqFj52R/+BnNu6LclRdbN/06RNCmdc0J245OBRUrWKiIT8GjBggNQVb//lYxkZNlHysvL9zul6seiuHVUaT3fvE29ab9GLZ4juSRfv0V7iLXir0n7e9IvFm31/la51quH0eMTp8ZQ5tnDPLrnrh+/E7nLJ/N07pdjlqnCMl39ZLv9YvKAup1kl1s5fL89e94q4Xe5K2+q6S3TX5iqNr+te8bp2iTfjSvEe7SLe9FEnztkXiu7aEOI4epWue7pR6HTK1oz0+p5GlQHWSACb2mBcEFc/PI5/zXyM7at3MyHlVvZvPVRyTgrfRLLGI3p26ANqyRA+AnH+jOhFEHNfidxgRaiUWUbVDHxfTjUs9d4YuX76l0z8elqZY0Pbd+Sd0eOIsNm4uEMn3lm7ipu+C17F+FB+Pofy8+t6qiGze8M+1i/ejMtRuetEKVvA0vUVIUXvQNYEiP0L2AZAKQ1jFTEUZTuj0jH0oi+Q9LMQb1aVrn068dqvKxg/bSp5jgDazY2QBuOCSGwSz4Dhfdi/5SA9z+tKXHKp6hKRE8HaAZR/dQkRJ5L/Xwi/GLQotLDeRh8tBokYDbl3ghaHFvd4SPMoE6fpnGeUMU/6xEjOOE2Y2PMMPJUkUoRZrHh1nb8umMtj519IQkTZR8uXRlRcL+9kc9Wfx3LVn8fW+rjH3Vwq/CJE7Kiwgajkz6o1lrJ1RcIvhAqShE4HnB4PP+7cwchOnYm0lVWTu7lPf3o2aUpc+Kmh191gVsDHadujNc98/yiJTU5oNChrK1Tk5YGd93oW2L+EvPsh+0pDz/V4v7A+EHahoQfhQ/Rs9KxrEFcIO/thZ0LM/4G1W43uqb4pcDrJKCri1u+n8/NB/x1kl9fL4n17SozulT16cU2v3kHH00Xo36w58eERzNi+laOFhXU297pC3FvQMy9DPLv9z+l5RhXkysawz0DSz0Q8B1C2Hr7omuprZ6iwvmgJL532xQB+OXSQvy6cGzDaoWVcHOO6dg+6kTf6syk8t2xJ3U6wFmkwK+DqoiwtoMkvhsCO62cjC+n4OS0BlfR+2Q7iAj0DpHKhbKUloWLuqeUZn3yu+eYLFJDrdHC0wP++l+zbw/2zZ/Lu6PEMbhc4ueA4IsJFk98nNiyMtKJCVt95T5lMuMaD8r38kby/g2sFNFnj90EXbxp4jxlf7tbuEHFZKeW9AGO5txpFOhP/h7IF/1IT0cG9wdCwVg1uXXRSubBtO6ZOuIr+zVpUuW/XlBQ6JgX/fTQ0TvlEDPGmgWsVRIwJKfxF96SDewvKEo0KO/MkzLDumb1zOxZNY0THzmWOOzxuxnz+KRN7nkHb+AQGt2sfkvrZP5cuYmCLlgxp18HvEfFUQNzbwbsfFeEfCaPn3A+uFagma0P6exLPASTvEQi/FPSjaHGPBm7nXILk3ItKeB0V0fAyuRoimcXFxIaFEW5t+OvI0zYRQ4q/NMrT6BmVtxUdModB3l2GqMopwqWduzKsfUc2HEsrEwRvURqt4uJoFRfH8I6dQpaefPKioYzq3PWUNL4AWNsDKqBwjop9FJX4bsixrMraBi15Gnh3grMCnYKws1Fxz0AF2ZUmJ3B5vQyd8gFPL11U31OpEaf+ClgvBu++kHe19YI3jPL1Mfei2TrV8exOHj/u3MEf587io3ETOK+1KYlYEeJYiOT+HyrhjYAavmKfCdZOKFvoewPG50yvkY/YpCwfr/+Nfs2a07tpw68+flpqQYhrPVjboTR/0fXTjUKXi5k7tjG+W3cirMFXrtn2YmyahdhTZJe5IkS8gNuvbJCI2/ABh52LKlfTTcSLpA+E8GFoCS+GeB0B70GwtK5RFphJ4+W0c0GIXoBkX4cUhpj9dIoTExbGNb16V2h8Aa76ahp3/HB66CBL7kNIxki/40rZUOEX+Rlf45wFlTwDFfdUxWOLGIYcwLUUyRyJFH+Knve3OtUEfvH2N7mz95/rbHyT2qXBGmC96GPEvaGSNp+hF30S8JzSYiHhJVT07SXHjMSKY2XaiTcNKZoSNO//dOOhc87n/846TfyQkeMg6roqd1PW1hUK+gNI/j+RjMHGKtvWHxXzR6Oasv1bxL21wr4lY7i3oxd+UCXxmjMu6E7foY0nRTwU1qcd5bejRwKey3M4mLTql4C+4Hyng6+2bMJdTuMkz+HA6WkYn/cGaYBFXFD4GlJcNtNKvMfQ088xfHAAjlnGK9AYnv2Q+wi4Vp44aJ+OZAxF3DtOHHPMRwr+bRTqPIU4mJfH7uwTGVXfbdvK+mNpfLZxPdsyg29IjurchfPbtEVEeHzhPObu3hm0bWk2ph9jzOefcDAvr8ZzP1loEUOC1oarMeEXQcQYQENpcaiYu3yZmFaUnhnSEOKYAYWvgYQeZ33JLUO479WGW2+wOjy+aD6PLpzndzzHbufcD99hzq4d7M3xFzuat3sXf1s0n80Z6YgIr65cwdqjh7n4k4/4y/w5Qa/32MK5/HFOYLtS2zS4+A3x7ENy7oT4l1Dh55U9qaLB1hcsrYy3PkWqgGipEHk5lE4BDT8Xov8A1jYnjkVdiwo/P6i4dmPlgTkzyXHYWXLzHQD886dFnNmiJcsP7OfKHr14evCwCvt7Rfhp/z5iw8O5pFT4mtvr5af9+7igbbsy4j0erxe7x41XGm8popog3nRAQ1lSANAiBkPE4BPnXWuRnLsh6aOgWZXiOYDk3IaKfw4Vdpaxao66paToqxRPB1tXlK32BKsaA29fNg7B/ykgLjyc2/sN4NJOXeie6l/9elzX7nROSqZ302a4vF4mr19HgcvJA4POpktSStDrRVptqCAx4rVNg9uEE+9hJOcBVPw//f7QRFxI1hUQeTkq6gagXOqwSQlbMzNwuN30a24Es6cVFhAbFk6e00FyZFRIsZMi4rdptHjfHu6e+T1vXDqG4R1PnSiRyhD7dLD1C14FI3MUEIaW8l3g/p6DRp25iAlosYGTe8SbZkRfxD3ppx1hbP6d6dv8O72qrNQWhS4XUTYbX23eiM1iYUL3k/dF1mg24ZSlJVrKN0G+5S2gNQEtBcm+Ccny99+JnoeeOQZxLKj7yTZguqeklhhfgGYxsUSHhdEiNi7kwPVAO/bnt27LW5eN5aJKMuYaIyJ2RJz+x/UiJO8fSPHUoH1V7N9QsY8FHte1Cin+FFRcGSF3/0GiUBEjweL/s1XKgkr5ERX/z8pv5BRj6sb1jP78k5D9tk8vXcRt308veZ9jt/PN1s1EWK1oSvH5pg18tqni/aWTRYMzwBWhlAUt6QO0yLEQeTVEXV1y7njFAyl4G7ABZeMtRc9Dz7nHKBV0muL0eHho3mzWBdjQmLF9K+d/9G6lQtc2i4Vh7TsG1A5u7EjWNUj2LYg40XPuRpw/A6C0aFTKD6jYh4x23iz0rImI67eSvir8PFT4oMDjOpaA/VtI+hSV8FrwCbjWIAUvgXu9sWHs3nwikgJfxW91apRjrwrRtjDiwsJDDuFLiIggMfJEaOGPu3bw2MJ57MwyfO9fXHkNn024Olj3k0qD8wGHihY1AREdPfMKiLgYoiYasZaun1Ap3/mHEOl54FoL3kNQRanBU4Uit4tFe3fTp2kz+jcvm2ffNDqGDglJNUrrFBFcXm/JGJ9vXM+mjHSeHVq5DGiDIOpmUBGGXoh7uyGy49uHUNZ2pRq6DBEoKQo4jBFRYykxGCr2YYh9sHKRnfAhqJRZYGkHnq1I1lWouCch6poa31pjZny37ozv1t3v+CsrfybH7uCfQ8ruZ5Svmnxl9570Sm1CtxSjkEJDSl1uODOpFgq0FPDsgfTBkPgh5NyOFH2EKre7Lc4FEH1HwPz+xoyIoHt1LNbKV6RJkVGsves+tAAriUGtWjOoVesazeXdtat5c82vLL3lDhIiItmckc7GY2k1GrMq5BzLpbjATstOzavVX4uaUPJ/1WRJ0HbK0hyVGtjFJeJBMi6CiFGouL8Z7ZUCKk9sUUr50qBBrF1QcU8biwuTgBzOzyc3BF3gJxYvoE18An2aVe/voi5p1AZYKYVKegdx70BUjKEkFfsYhPunj+JcBroL3bkYIi5Fi76p2tc9vnHZELKanrv+NXb9tpePtlbwaFuKQMY3EOVXs/N276RDYhKdKlCaGtSqNYcL8kvU0f51kle+z13/Goe2H+Hzg++c1OuWxQIRoyDsvIBnRS801NFi/uAf5VMKpawQdVVdTfKU4MUQNaf35GRT6Kq75Jea0CgNsG6fDaKjIoehVATK1gUV/w/jZPSNAfuoxA+NoPicW8CbiZ51AyrhZZTFP3ylMv590yT2/L6P9za+XIO7qB3OHXcmrTrX/jf788t/Yvq2zfx8613YLBYemjeboe078s/Bw/jHkoXoIoRZLGU+BH2bNadvPa4y7v7vTeRm1G8VDqVUyco3MG7QjyJ6rl+gk7i3gJ6OCh9chzM8/XB5vWw4lsaf5s7iuaEjGpSIVKM0wBS9B97DSOEzkPpzSAInSiljVZH8KeL8BXF8h3gOI8Vfo6JvRmnRIV9+wPDepLZsGCXnh0wMvoqqCYPbtUcwjKxSiu8mXk9KVDQZxUUs3LubgS1akhoV+s/sZNCpX8OPzFBaYnD3RcGL4NmOavLzSZ7VqYvD4+bR8y9i/bGjvL1mNflOZ4MywA0uDjgURC9CXL+CeyMqYgiS+zAq8U2UtSN6watgaVPGnxd0HMdsJPchVNJUVFi/up/4KYJX19GUYm9uDs2iY/hs0wbGdu2GTbOQGBl4l37t0cPk2h0M69Ax4PmGjO5YCs6FqLin69TtJHo26IWo0olCJpWyaO8eWsXF0SU5hdtnTKfA6eIfFw2hZ5Om/Hv5Uj5e/xuzrruZA3m5lRYcqCsaTRzwcfSiz9CLPw94TmnRaBFD0WIfBGygoox/AZwLwbnUr4+41qEX/LdsXn34SFTqAtP4VhGLprHi0AFGTv2YKRt+5z8rlvH4wnlcMPk9ioL42l5csZynGqt2q2uV8XfFiZAwcW9Bz7qq2kVbdccC9PznyxxTWpJpfKvBQ/N+5OVfjKeGjolJbM5I58VflgNwTa/ePDV4GNM2refumd+RY7fX51T9aLArYD3rGkChJQc2wsEQ0RHdjvJuBtuZJSsWveBFKJ6GSv0JpUXVwYxPL4pcLj7ftIGre/biYF4e8/bswqo07j/r7ICrxFyHHbvbQ/PY2ACjNXxE9JJSQSKCZI4EPQuV/CXK2qHK4+l5T4FzESp1yWlfgqim7MnJJiEigiMFBXRITCKzuIjYsPAyT2NbM9L564K5vHLJqHopWdToVsAq6VMIvxQ99xHAV/04BJ0BpTSU4wsk+xbw7j1xPOahRm98n73uVR44t6INnspZtn8f324zklHsbjf3zprBmiOVr+IW79vDjzu3l7yPDgvjjv4DiQuP4EB+Hm+tWUW/5i2CPqInREQGNL6Lpi1nxferq3k3Jw8/I2ntArEPV8n4igjiWo+IBxX3D1Tq4tPe+G7LzODLzRtrNEaHxCQ8us4VX37Gu2tX0SY+oYzxTS8qZP2xNI4VFZLVwFbADXYTTikroh8E794TsZXhI1HxT/m1FW8Gkns/EIVKfBkiJ6AsLcukdCqlfK6Kxkuv87qR2qpm397vrF3N4YJ8Lu/Wg2K3m9VHDnFBm7a0TUgIuqkmIry28hfsHjejOnf1Oz+iQyemXTGxWhEQnz83najYSM4d13jq7ymlUImTqt7RvRbJvgkV/29U5FjKZ2uejkxZ/xvfb9/GuK7dq5UgsTH9GPHh4Xh1nZGdOjOui3/Cxv9WreTrLZtYd9d9RFVjA27Phv207tYCW1jtb941WBdEaUQEKXgZFX52wNhJ8exGMi8HBBJeQ6EClpKp8Bqu1aAloqyntsDMscICPLpOy7gTVUKeXLyQb7dtZs2d9wb8EHy3bQuPLpzHZxOu9sugqylF+cVoFo3I6IjKGzdyRFxg/x4iRpYonJ3u2N1usu12WsbFVav/2R+8TYeEJC5o25YXVyyne0oqM68rG+OfWVzM3N07aJeQWOVyXAe3H+bO3g9x139uZMKDl1VrjhDcBdFgV8ClMWIrHwrewNIKUBA53tD8df2CilhbpWtI7h/B2hmVNLkGM2343PL9dCKsVr6deH3Jsat69qJDYiJphYU8uWQBzw4dTqtSBrp/8xbc2Lsv3VJSmfz7Wg7l5/P3C6v2BReM6LjG/VRSFZQKM5MryhFps9EyhFWp0+Mh2273c2O9M3o88eHhtIqLJ1yzBozCSYmK4ustm8lzOlh00+1+5yuiRadmPPDGnZw9un+V+oVKo1gBV4ae+yfQC1CJr4MUg54DlraAt/L8ex/i3gFaHMrS8Av81YQ5O3dgsxqCOuX57egR7p75Pe+PvZxIq42bvvuaVy8ZxVktW5X4du+d9T3bsjJZcONtIWfVnWqINx0p/gIVfXuj3lNoTPx57o/M3LGNn2+7m9ToqsefpxcV4tZ1WsZWfaV9ZHcavy3cyKg7L652GGKj24QTvQg960bEubzyxloLsHY0suK0JJS1I5J7H5I5NuTrKVuXU974Aozs3CWg8QXo17wFUydcjcvrJTY8jLjwMD7d8Dv9332DjGJDeKZ/85Ycys9nf17uSZx1A8O1GoreBu+u+p5Jo+Nwfj4Oj7vyhuXo1aQpAhwuqF6mY5PomGoZX4C5kxfzxoMfkpdZ+1mWDdYAGymbaYieW2lLLe5htLhyWqwRE0pUpETPQYq/RHf+jDgW18FcTx2eXLKAB2bPpFlMLGEWK9uyMhnctj2xYYbw/Q29+/DVldfQPiGxnmdaj0SMQqUuRNl6I671hjSlNz1ocxE3euFbiOfUKnsVCkZxUuMp2+FxM+LTj3humRGn79V1XOXqtQXjtn4DWH3nPRVu9G5KP8bvaUcrHMfl9TJ3986g192ZlcXwTz5ic/qJ2pHX//1K3tv4MgmptV9dvcH6gJWWgEqdX/K+qgI4WuQlJ9445iH5T4OlA4K7yht0pypeXeeZn5Zwbus2jPBVt3hxxKUlwiWfXzERMCoqHyfCamuQqlInE6UUHH9akmLQMyGAkHsJ3mNQ+AaoKES7Asm9DyKugMIXUHHPoCKGlmkuYgfCT4kQteumf0mE1cpH464gwmrjyYuG0s/393P99K84UpDPT7feGdJYCRGGfzejqIhRn03hbxcMLiNT+djCedg9bhbcGLwm3rL9+/i/2TN567KxAZ8ELZoizGLBop342YeF26qtsFcZDdYAl0dy7wc9A5X8ZZX66YXvQ/FUSPoULO1QeNFz7gEpRkv6uI5m2zhIKypkyobfmLd7Z4kBPv6YJiLYPW4KnE4cnghSosr6Ov+2cD65TjtvjArdzXMqosLPQaUuDHhOz3sCpAAt4VVIXWjUKZRcQ7caB1i7giW1TB8RL5IxFMKHoeL/Vefzry4iwoafttDtrE6ERwbfZzm/ddsykTUTe54otbQ1M4PkIKnrFRFls9G/WXPaxJddkb45aiyeSnIFLmzbjndHj+e81oEzDjskJjHruuorJVaVRmGAxb3FKMYZRAC7TFvxGKI7x7G2B1tPlK13yXGx9TdWLqc5LWPj+HzC1bSO9/eNzdq5nYfmzSbSZqN/8xZ8OLastkZseNhpUYBTPPuQ4s9QsX+qejUKFQUYj7rK0tR3LAmV6kvJjvKvyqCUBYm8FhXmt1/ToNi9fh9/HfEM9716K2PuuSRou/vOOjvouU8nXEViRNnwwwN5udz47Vc8M2Q4F7ZtF7BfdFgY74wZ73e8dSmDHOyJ2Wax1JseRCAahAEWEaT4E3D/jpbwcrlzTiRrIkSORYt/tuJx9Fwk42Ik5j606FsB0CKGQURZxXwtJrRHntOBYCLsA1u05K4BZ9I9OZWOyWWTPyZ8MZUWsXE8M+Q0EAt3rYPizyHqOihTFaNy/PYlQu0X+0C1+p1MOvRuy2OfPMDAS/pUe4wzmjT1O7Z4314O5ufzW9qRoAZ4V3YWLWLjSpIq1qcdJdfhKFOn8MZvv8YreokbraHSIJxMUvQ+FLwA7t1+55QKRyW8hor+g9HWvR09YyTi3u7XFhUNEZegbH1Dv7Znb0gpzqcD64+lsXjfHsAo4tm3WXP+smAOul7259OrSVN+OrCPO374tj6meXKJvBzV5JdyJYmqjoiOXvgB4tlTO/OqZzRN46KrzyU6vvYkSQ/n5/P8siXcN3AQD5x1Dp9tXM+dP3xbRkArz+Fg9Oef8OrKE5Kdzy9fyt8Xl5X4HNq+PUPbVV2j42TTIAywCh8EkdegUr4J3CB8CFL4EnrxV6AsoMKMf8uPo2xo8c+GrG4mrt+QzMvA8WNNpn/K8MLPP/G3RSc2PjslJnNZ5y40iykb/P7PIRfTJCqGw/lGWM7Yzz/hwTkzS84/v3wp13z9xcmZdB2jlEJpMdXqK95M9Pz/Inoe6NlQ+ApiN/7WRM82v/jL0SQ6mj8MHMSEHj1RSpFtt5NRVETpTIW48HD+78yz2ZOTTb7T2Ph8fdRYppVb6d7WbyB3DjiR3v7I/Dm8vmolVcl7OBk0CBeEsvVGxfeuuJFnH1hao6xXoVJm1M6Fbd2MSrfh51be9jRg0sjR2EvFaLZNSOC/wwOXfXl91GiK3Ea0xLmt29A2PqHkXJPoaJpUI1j+lMOzCYo/gojBqLAzIXUBaCmI9yiScTFE34eKvbe+Z9lgsFks/PHsE5/F+886m/vL+ZCVUrRPTOKddavJsduJCw/32yAOxP68XL7fvhVB+L+zzqn1uVeXBp8JJ651YO2E0qoXRG1SfTKKiliXdoQRHTrx+aYNfLVlE19cec0pWZK+rhA9G6WVrZ4i4kbSzwFLK7SU78qec29Hsm9EJbyKOkUXBmmFBUTbwogNDy1LNRC6SEkmptvrJc/prNAQe3Wd55YvZUyXbvVSNqteM+H03AcMPd4QET0bsU9H92Yi2TcihW/V4exMgjFlw288MHsmmfZibJqGTbOw5shhtmdl1vfUGg3ljS8YrjKV8Aoq7in/DlqiEfFj8d+gCobH7an+BOuBcdM+5U9zf2Rfbg67s7OqNYamFC6vl4V7d/OvnxYz+OP3K8yws2gaT1w4pF5rFgbi5PiAxWu8QsU+C8n7O0rPQSVMQkUHD6z2v9Qx9KwrEdfvIbZPQ6TqqZGnA3f1P5NpV0wkNSqa77Zv5YymTXl4/hyeXBy4ptlxCpxOLvl0Mt/5dIdPF8Sbhp771wqz4o6jwi9AhfX1P25pgpb0LsoaWummH99bwBWpt5F5JJsf3prLvQMfwe1qmH/PIsLba1YxsHlL/jDwLP5v9kzunvV9pf2e/WkJ47+YWvLe7fVy1Vef89yyJdwzawbtE5P489nnEW6pmkd10Z7d3DtrBh69/nzxJ8UHrCW+UbUOURNRYX1Qts5g61xyWC/6EgqegoQ30SIGB+nsAT0fxFHpZUTPQTJGQPStqNg/VW2OpwGx4eH088lPxoaHserwIV4aMZI2pfy9gbBqGvEREWUy6E4LPPvBMRuiJkII1bZFBCQPpSVU+5KdB3TgwivPITYxmojoCKLiouq0bl1NOFZUaJQKEuGJi4bwn4svwR2C8WuXkECW/UTc/r7cXH47epS28Qm8NWosF7Zth60abrHdOdlsTD+G2+vFqtVTPMLxXO1QXgMGDJD6xFv8o3iP9havY2WF7XTXJvHmPi667qi4ne4Vb8GHort31uY0GxwZRUXyyPw5cjg/r9pjrD58SLq/8ar8euhg0Dab0tNk6b49kmu3y7L9+yTf4ZDPNq4Xh9td7es2NnTdFXrbwk/Ee7SX6J5DdTijhsXmY8dkZ1amiIjY3aH/rEpT6HTKX+fPlR2ZmbU5tToFWCMBbGqDCEMLFS3yUrRm69HCB1XYTlwbjNAyPa/CdkppaDG3nvIi7AfzcpmxfSu7c7KrPcbAFi1Zf/f9nNWyVcDz6UWFjJs2ldtmfMt7a1dz83df8+KKZfxjyUJ+q0QgpSGjZ9+EXvC/sscK/oue92TA9kqd0LY13GHXIu7NZdqINx1xzEHCzoHoW4wU5VOQvbk5Jboix+nRpAmdkpJZfyyNfu+8URJ3DnDjt19x98zvKh03OiyMf188gs7JFVeHOVpQwMu//Eyxu2G6ZKCBxAHXFiIupOgTVOQlqCa/okJ4DDwd6Ne8Bb/ffT8XtGnndy7bXsyYzz9h2f59lY5T0WNeYkQkZzRpihIY0akTiZGRtI5P4Jurr2NQEKPdKFBR/qWs9BwjrhcQ9zaj0kUgxAF6GugFZQ8Xf4bkPoTS4tBiHzKE2k8xXF4voz/7hGd+Cqw+2CYungnde9IlOaXkWN9mLejfrOYVVw7m5XG0oIBVRw7xztpV7MvN4a4fvuOeWbUUvlqLNPgwtNLo+S+AANZUtAAbc+LegGRdg4p/FhV5+cmfYCMkq7iYa7/5grNbteaJC4dUy5d2HKfHw6H8PDomJVPkcmHVtGrV+WosiOcgkjnS2D+Iugk8e1E2/5p5fv30QvDs9imqeYz6hacgM7ZvpUeqseKtS0SEv8yfw0Vt2zG2a3eGTfmQmLAwvpt4PZnFxaRGR/PfFcvQlMZD5/iXNDsZNOqSRCU45xnRFC4rBDDAytYbkr+HapQJP11Jjori5r79eXrpIq7v3ZeupVYkgfDqOgUuZ4k0YGnCrVY0TeONVSv5dtsWmsfG8snlVSvB8/D8OaRGRfHIeRdWqV9dIKKD43sIvyhgOBmWlqi4pyH8AiieghS8AilzUNbA+hrHUVoMhPVBz5wAUoRKnVtHd1C/jO3qXyCzLhAMPYim0dGM7dqd54eNIMxiQSlVUj3j4XMvOClzqSoN2gCL6CDFJamgKmU+Il6UCh7SJt6jUPg6JLxUVhXNJChX9+jFwBYtKzW+AK+s/JnJ639jxW13ExcgkH7Rnt1MWr2SPw06l45JAYxWJRS5XERaa7/6bLXw7kPy/oaKfcTw1ZZDKQ2irgRAIsYAVkRLJdQYBBX3RMU6wg2cPIeDSatWcmf/gTSNqV66dnneW7uaTknJJEVFoSkVULCnPJpSLLjpxIIs2D5FQ6RBWygpfA2KPkZSZqNZm6OU5hOpruAD6t0J7nUgLjANcFAyiov46Ld1/GHgmcSFR4RkfAEu7dSFMIs1aIjZrf0GMLZr90rrdhW73Qz/5CNu6dOvTM7+m5c1HH1hZe0AydMM3d7K0FKML373Vkh4odLmIjriWlMrxQG8Hi+bft7GGRd0RzuJ4VR7crL5ZMNvnNOqdZUMsEfXsSgVMFzu4w2/0adpc3ZlZ2HRNH70afMuO7CPSb/+wgdjJ9Qog66h0aA34VT4UMALBaELU2vRt6M1WWYWS6yEjceO8cFva9iWGTyr7XB+Ph5dZ09ONg6PG7fXy7q0o1x7Ru+gBTk132Pf6iOHeG7ZkqDiJ2EWC32bNa90J7u+MXSkK//AK2WBmD+hoq5FPLvLlL7S819Azy1X1VtyoXBSiThPTVgxYw1/HfEMa+dvqPFYVaFf8xasvvMehnWoPGnE7nYzb/dOnB4P53/0bsnm3LHCQh6cM6uk1tu8G27ltZGX8fbocbxVSuy/0OUiy26v16SJuqBhG+CwPqiEF1Ex9wVtI97DxqaGSZUY2r4DP992d9DHtaMFBQz75ENe+3UFoz6bwqRVK9mVk80zPy1mwR5/2dB7Z83g8YXzSt4v2buXr7ZswuE5kSb71ppfeWftasBI1nhj1BgGNwLJwOOIczl6cXCVNy36elRYX6TgNSTvoVJfPh7QixDviTpjSksy6srF1FyM58yRfXnko/voM7hnjceqKnHhhqB6ZZv5s3ft4P7ZM9lwLI3RnbuWaP0eLSxg4Z7dHMozQkajbDasmkb7hETaJiSU9L+0UxcW3nQbBS4negNTNKsRgYKDg71OViKGN/dJ8WaM9zuue4tO/F93iddbJN60/uLNfuCkzOt0wuP1yvvr1sjenGyZtmmD7M/NERGR7ZkZ4vZ6/do/umCu/HvZ0pL3uq77BdrfMP1Luenbr4Je0+XxyOTf10paQUHt3EQt482+Q7zHBlfaTvdm+SX3eDPGiTfj0rqamoiIFOUXy+sPfCBH9qRVewxd10Nqd7QgXyZ8MVU2HEuT77Ztkd5vTZJDFST6ONxuWbJ3j3jLjT9z+zYZ9P5bcqyw8t/5lox06TzpZfli04aQ5tiQIEgiRsN0ktp6AGUfNcRzAMkcDXFPQcQlSNYVgNvYhTajHmodi6Zxe78BALQrVQG5SxBf8fPDRpR5r5Qiotxm2pTxxobVkn172JR+jPvLyQLuz8vl2WVL0ZTGjb371vQWah2V8Lqxt+BDRMCzE6ydy/gzlZYE5aImVNzfQOpWNOfY/gxmvbuAHud0pXn70MV8jpPncDB0ygfcf9Y53Nq3f4VtnR4vmcXF7MvJocjp5MK27bAqja+3bGJMl25+4YfhVmuZihXPL19KuMXKRe3a0TExmV8OHmRs124VplF3SEjk4XPP56K2DaekUE1pkC4ILWoiWvwzZQ9aUiHySgjrA56t4N0HtrNQkaNRth71Ms/TDY+uM2X9bxwtKKi8cQCUb+Plhx3b+XTjer/znZKSmXP9zVzby18betbO7czdtbNa160tlApHaaXE6V1Lkazx4Pqp8s62ARB2ZuXtakD7Xm34Ov0DhlxTvVjXLHsxF7RpS8/UyhOY2iYksPSWO5i5YxvPLv+JVy8Zxaojh3h80fyQMh/35OSwJyebAc1bMqhlKx5eMIe0wopdieFWK3f2P5OmMTHkOx0sO7CvwQmsV5UGaYADoVQkWvyTKGtHVNhAVMp8VPxzJef1oino9vkVjGBSUw7l5/HssiXM3rXD71yuw86g999m2qbKN4KevmgoHRITWbzXvzxPh8SkgMIob63+lbfWrqrWvOsM20BU7KOGca0EybkHyboy8Dk9B6mlcLSo2KpXGQZjk2v055+QHBkdchjXscJCluzfy4TuPbBoGpd26sK0KyaWZD7+sGMb53/4LpnF/gVwz2/dhr25OWQVF3Nr3/5MnXAVzWNj/dplFhfz1ZZNeMttvn2y/ndun/EtR6q5GGgoNEwXRAj4BbsXTwVLa4gcXj8TOg1ol5DI7OtvpnVcPCLChC8/48K27fjT2eeRUVREZnER2yuIqgBYvG8P2cXFpBUWku2wh3ztz6+YGDTyIhhej5c9G/bTqV/7OlEIU1oMRIdYwtzaDRw7Agu0Z14KtkGoxNdqfY6hEm2z8eSFQxjYwsjKm/z7Ovbn5fKPi4YG7ZMaHc1fz7uQoe0NF6BV0+jf/EQqcdPoGDomJeH2enlrza9c16sP8b4qyN9s3cL2zAyy7MV0SU7hzBaBjf7MHdt4bvlS+jVrXiaj7obefenVpCktAhjtRkUgx3CwV32roVWErhdXSYnKpGboui4D331Dxk/7VESMDbRJv/5SsllXnkP5eZJjL5YrvpgqIz756KTMcf4nS+WSsImy6edtJ+V6pfHmPine/NdL3uuOpeJNHyK658iJY65t4i14V7yFU0V3rjrpc6yIP8/9Ua748rOS999t3SLjp31aLQWzZfv3SedJL8vCPbtLjrk8Hil2OUvepxcWSlZxkV9fh9stG4+lidPjkZu//Vpm79xe5es3BGjIm3Drl24mNjGGDr3bVnsMpar36GVSPZRSjO7SjeRII97aZrH41e8qzZVffkaX5BQmj7+S/bk5fPDbWm7p0w9LHSYODLqsP/836XY6D6iHTVrv4TIbdir8QlTqojJNxDELiiajmixvcCW3XhpRthbg/D27SmJ1q8p5rduw8MbbaBV34h5tFkuJ7ojD4+bab74gLiKC6VdfV6ZvuNVKryZNcXjcHC7IJ62wkPt+nMHYLt25pFNnGjsNwgC/cOMkmndsykuLn67vqZhUgYoeT726zrBPPmRUpy48ct6F/HPwxTSJjmbZ/r0s2beX73dsY1SnLuQ47CRFRvpVXi7NTd9+jVLw8fjAPtRgxCbGcNld9eOS0pLer7SNinkAom5qEMa3wOnEo+skRgZeyFg1jW7JqX6RLaGglKJ1fHzAc1M3/M6TSxZye78BDG0fPKGj0OVmaPsOjOzUmcnr19ErhBTlxkCDMMD/nvcEUbER9T0Nk1pEU4qBzVuWfFCGd+zE0YICHp4/h9iwcBbeeBvNY2MZ9dkU+jdvwQdjy6rXfbVlE72aNKV7SiobjqXVX8WCOkQpK1hCSwGva+744Vsyi4tZWEpToTSvjrwspHH25GQjInQMoIDm9Hi44duvuOGMvozrZgj1dE5OJjY8nEEtW3N2q+AiRlsz0vno93UMbdeBJTffEdJcGgONSo7SpGFzrLCQ348dZUSHTmU2vXLsdp5cspA5u3bw8iWjGNy2fUk+/8pDB2kaE0P7UrHGLq+X/u++waAWrenVtAn3DDgLTdPMasx1yLL9+8h3OrmsSwi6FxVw2WdTcHu9zLvxVr9zTo+HK7/6nJv69OOqHr2CjnEoP4+x0z7l2aHDubRTl5LjuQ57QBW+xkC9VkU2adgUF9i5d+AjLPtmZY3G+Xj9Oh6YPZNse9nohm2ZGczdvZOxXbtzfuu2ZcRUzm7VuozxBUMnYu4Nt9AyLpYp639HKXXKGV/xHkWcv9b3NEq4oG27oMZ3fdpRLpz8XkjVsF8cPpJXLhkV8Fy41cqMa26o0PgCxIWHc1aLVrSJK+u2aKzGtyIahAvCpAEQIEyryOXCovlntAXjnoGDGNGxM8lRZYWQzmndhl9v/0NQ/2IgWsbG8dTgYTx6/kUnVdRd13WWT/+V/hf3JiahYkW3miAFL4NjHjRd2+BlU6NsYaRGRRMZwu+hewVJHPlOB0OnfMh9Awdxa7/gsdNx4RG8PXpcteba2DBXwCZExUby5uoXuOCKslEME778jFu+nx7yOLHh4fRt1jzguVCNr7OUeI+mFFG2k6sNvH/zQZ67/jUWfBpCdlsNULEPo5I+btDGVxdh7dHDtE9M5Jurr6u0GnZFrDlymBy7g7NatOJAfh4u7wlN71dW/sw/lxoRIqWPnw6YBtgkKHf2H8itfSrWBAiVrZkZnP/Ru6yvIE31261b6P/umxzIy62Va1aHdr3a8MK8J7j09uARHjVFXKsR5wpUWN86u0ZtsPLQQa795kvm7Q49Bfz3tKPszc0pc0xEuPX7b/jvimUMbteeqRvXs7OUO+NAXh4H8vL4bON6Brz7BsdKpSSLCO+sWcX6Y2kBrzd962au++ZL3I3UcDfcr1+TeufKcr66A3m5zN61g9v7DaxyVEK0zUaLmDiiSwm5f7l5I91SUundtBkAPZs0YWzXbqREnXj0/2zjejonJwfNlKptlFL0uahuZR2l6H1wb4ao8XV6nVA5lJ/HYwvn8cyQi8sILyVGRDCoZSsGtQr9Z3/3zO/pnJTEpxOuLjmmlGLy+CtoHhNL0+gY+jVrUUYH+rjPeHP6McZ06UZCxImIKKfXw+urV3KsqJA+vr+T0hS53RS6XTRaRYhA2RnBXg05E86k7vlg3RrpMullOZiXW+W+y/bvk++2bSl57/F6pfdb/5M/z/2xwn4D3n1D7v9xRpWv15DRvUWiezJrdcwt6cdk/LRPq/W72XAsTc58701Zd+RwmeNfbNog3d94NWh2YyA2HkuTA7m58uKKZTLs4w/EE0C6tKpkFxcHlEBtTNCQM+Fqyl8veYaWnZrxwBt31vdUTmlu7tOPRXv3MHPHdv4w8Kwq9X17zSoO5ecxzleo0aJpzLvhVuIjKq42Me+GW4i2nVpl241qLVWv2PLTN7/w9Us/8ML8J4mMLhs37/B4yHU4quVDPaNJU1bdcY/f8at7nsFlnbuWPLU8NG82TaOjOZSfj1eE54cNLxFkP87xuO8uySkczMsr0e/YcCyNZ35azBujxtAkumr146qyedvYOCV8wKmtkklt3bBL25wKWDQNTVVvo+Sd0eP4duL1ZY41jYmpNMIiKTLqlC5tXxU8Lg9OuwsCxO73a96CxTffTofEqhdCBeN3euv33zC3nL+3tMuowOkkq9jOgr27mbt7J4fyg6cmj+nSjVdHXlYSD17gcnKsqLBMhZTKmLt7JwPefaNe9wTqnEDL4mAv0wVhUp70wkJZsndPyO3XHTksjy2YKy6Pp+TYhmNpMnvndtmRWbuP5acDuq7Lg7NnyrQaVokodrlk6McfyMe/r6u0rcvjkSJX5aI832zZJJd/MVUcbne15rTpWJrcOeNbybXbQ2qfk54rU5/7RooLiqt1vbqEIC6IU2IFbFJ/vLN2FXfN/I58Z2h6tuvSjjBr5w4KXS7+sWQhD/z4A1d99TkPzp7Jg3NnAbAjK5MFe3bV5bRPKod3HWXpV7/U2fi7srPYm5NTecNSeHW9jMZupM3Gwptu46Y+/fzarjt6hJd/+blE/FwpFZIQui7C4fw8PvhtbZXmdpyeTZry7pjxJRKWlbFh6RamPPUlu9fvr9b16gPz2c6kRtx35tlc0qkzcSGUCnd6PPRKbcrqO/5AmNWKy+vhSGEhLq+XcV268YczBwHw2q+/sPzAPn6/+/5KdXwP5OWydP8+zm7Zis5ByiXVN1+/9APzpizl7NH9CY+s3ZLqSilmXheiJnEprp/+FYLwxZXXVNp27u6dTNu0gRvO6MMnG39nV3Y2644e4dc7/lBhvyt79OLbbVvYkplepbl5dZ1ch8MvoacyLrjibCYP7EizdpVX9GgomFoQJieNr7Zs4m+L5vPFFRPp5xPu/u+KZRzJz+epwcNKVjq5DjvZdntI/sxXVv7MG6t/RVOKJTffTovY+lcWK09RfjEZB7No1zO42MzJ4HB+PnfN/I5/DbmYjelGheZAK97y6CIUu91szUzn+ulf8X9nnk241cpdA06UWPpx53Y+2fA7Z7dsTWJkZEjjBuO1X1fwztrVLL/1TpIiq75Z2RAJpgVhroBNasSTixewaO8ePh5/RUAFrNKM7NiZCKuVM0rFcy7eu4d2CYllHjMTIiJJiIgkvaiQF1cs56FzzqdpTNmdc4fHzRebN3Jdrz6c3ao1+3JzK5S0rCscHjePLpjHLX37B80CjI6LIrpn/RsSQfDoOjpSJQOpKUVMWBhntmjFz7feRUpUlN+TSaHLRa7DwU8H9pIQUTMDPLJTFyxKOyW1H8pjGmCTGjFzx3aK3C7c5Wp2BSI2PJwxXbqVOfbDtTcGLTW0Py+XmTu2c0X3nn4GePXhw/zrpyUkRUYxpks3zmnVpvo3UQMKXC6W7t/LOa1aBzXA9Y2I4NZ1WsXFM/eGW2o0Vmp0YH2Mq3uewdU9z6hxkcyl+/byl/lz+OLKsiWoit1uxk37lFv79ue6M/rU6BoNCdMAm9SI3k2bERseRreU1Gr1r6gixpktWvH7H+4PqIS2Md1ITe3dxD87KhAur5dch71KMagur7dSFbbUqGjW3XVfndScqy1eX7WSD39fx7Jb7yQmrPox1Y8umEtaUSGTx10RtM3xn8PBvDz+b/YPaEpj0qWjaRkXmmuoSUwMrePiOFpQUMYFZVGKZjExVfYLN3RMA2xSIyaP9/8w6iK4vV6/+N3Fe/eQ63AwqnOXkGN7gxnAa3v1oVNSMm18lRZK79AH4rllS/h662bW3HlPSOpumcXFDJ3yAX8++zxu6VuxHkZDML4iEnQeg1q1JqO4KCQ1s4poGRdf8oW55shhdmdncXXPMwJet9Dl5HBBgW9DzR6yAe6ekkq2w86LvyznvDYnSpSFW618cvlVNZp/Q8Q0wCa1zl/mz+bXQ4f4+ba7So65vF7u+XFGiWjK5d171OgaiZGRjOh4oibYH+fOYndODjOvvTFg+4k9z6BDYhLhFuNP/vYZ0ylwuZgy/oqABjkuPJwxXbqWbBaW5nB+Pi1iYxuE4QXjC+/Cye8xokMnngxQJuqslq1CLjVfEf9XqubfvbNmkGkvpnfTZgElKLunNmH1nf7ZdaHw4dgJp03yjRkHbFLrjOrUlat7lhXyCbNYmHbFRJ4fNqJOiime27otF7QJXtS1e2oTburTr8Rontu6DYfz87jyq2kB24dZLDw7dISfAMz6tKMMmfIBM3dur73J1xAFDGvfgUEtA0dZfL1lE5t9UQ+6CNd98yUf/V692NzjvDNmPE9eOISu1XQ9VUSHxCRaNsBolrrg9PiaMTmpXNyhIxd38C+w2LdZc7qnpHLbjOnccEZfLu3cJUDvE3y+cT1pRYX86ezzAF/WJgTctJvY84wqzfH2fgNpEhWNo4pp1Z2TU/jjoHMrrF9Wl7i8Xp5euoire55R8uWglOLpwRcHbO/RdZ5euphLOnbiRV+lY0FqvFnWr1lz+pXadMx12IkLjwi6oWoSGNMAm9Qpf5j5PQUuJ1N98oS6CFnFxeQ6HJX2/enAPg7n55cY4McXzueXwwdqrSjjGJ8wUFWIstm415cwUh/kO538sGMbnZOSA8ozlseqacy74RYSIiIY+vEHpERH8+WV13DU55+taBM0VDKLi7lw8nvcf+bZ9fqzaYyYLgiTOqVf8xb0bda8JO010mZjzg23cO0ZvSvt++aosXx3zQ0l789v05aLA5Qu/2HHNh6aN7vGq7qTycwd25m5o+pujJSoKNbceW+lG4OlaR4bS6TNhsvrZVd2FocL8hky5QM++n1dla8fiISICO7oN5Ch7TtUqd/u7CzOfO8tlu3fV63rZh7J5trWd/PT13WX5l3XmCtgkzrlpt59OffDd1l+YD/flzKmoaCUovQD7WVdugYsHLk1I53f0o6gi2BRigKnk5iwsBJ/798Xzeeslq0Y27U7C/fsJqO4iGt6GV8ARS4XM3duZ1zXbiHXvqspTo+HfyxZSHJkJAkRESRHRdG9Cr7U6hYoXXTz7SXRKX8cdC7DO3QK2vb7bVv5Yec23r5sXFDxfa+uo4tgs1j48znnVXk+cRER9ExtQpOYqslTHicyOpx2vVqT0rJ6CnANAXMFbFLrPPPTIh6YMxMwMqRcXg9dakmnYeWhgyUbSmCUpCl2u1l00+1szczg222bOffDd5i0yqjwLCKsOHSAdUePADB5/TreW3cinf7ng/t5YvECVh0+TGZxMfpJWEXn2O0UOB0Mbtuev8ybzfPLltb5NcEw3NFhYVg1jT8MPIu2CQlB27732xoW7d1DWmFB0DY3f/8NV371ebXnkxoVzeTxV9C1mn8b0fHRPD/77/Q4J3A158aAuQI2qXU0NDTf2jU1OprN9z7o16aiuNWKeHj+HJrHxPLlVYaIzJojh1lz9DAAr65cwe9pR7ipTz+G+B6HlVIsuun2kv7vj7kcT6msvWHtO/LVldeQEhXNBR+9y0PnnM8d/U+k7OfYDf3by7v1qHIZpmAkREYYYkS6l8+uuJrYsOACPSLC6iOH6dO0WY1Ds3IddhIiItmelcnTSxbx0ohLaR57In1bRHhrzSqGtGvPV1dew6H8PFqVKw1fmnFdulHodtVoTqc9gTQqg71MPWCT2mDSryvkzPfelOIQNGXLsycnW44W5Ac8l2u3V6skj4iI2+uV11aukN3ZWWWOT93wu3Se9LJsTj9WrXGDkV5UKM5SmsjBWJ92VDpPelmmbVxf5WvcMP1L+fvCeSIi8svBA9Jl0svy0/69svLgATn7/bf99JfzHA7p8car8p+ff6p8/oWF8tFva/3uIc9hl3yHo8pzPdXhVC5JZNK46NO0OYPb5lXqy1ywZzfz9+zi38NGlKyW25cqGrkx/RhL9u7h/rPORilFfEREyNqx5bFqGg8MOsfv+JU9etGrSVO6p6SSVVzMlV99zsPnXsCoUiF0hS4XUzf+Tv/mLSotHvrD9q0UuFwh6xn0SG3Cf4ePZEi7wBtch/PzeWzhPP45ZFiZgpoAm9KPlegEd0lO5pa+/eme0oSUqCh+uf1uv7HiwsP56ZY7K/0Z3vTd16QXFrInN4dBLVvRPbUJG9OPseLgAaZv3Ux0WBjTr74upPs73TENsMlJ54K27bigbbuA54rdborcLlKjovkt7QjLD+zHo+vYAhjrH3du59MNv3NrvwE10jioiDCLhd5Nm+HRdbLtxTSNjubnA/v559JFzLzuRlKiovnz3B9ZuHc3l3bqUqkB/mzTBvKdTj8DLD7Jx+hy92HVtJI6eoHIcdjZlpVBtt3uZ4D/dsFgIm3GxmJSZBSPnX9RpfcbitbCIN89Xtq5S4lew7+XL2XNkcP85+JLiAlBG9rEwNQDNql1RIRtmRl0TUmtcmD+3TO/Z93RIyVprFKBr9ir6xS6XNVe9T6/fCkOt5vlBw9wdc9e3D0geKHRt9b8ymu//sKSm2/nbwvns/TAPpbdcifNY2P5Pe0oWzMzuLxb90ojKVxeLyJCuNVaRuxn2qYN/POnxcy74ZYK/a4ng9VHDtEqNr7EPzx75w7e/20Nn15+VYlBL88dM77lWFEhPwRJBT/dCaYHbEZBmNQ6Kw8dZNwXU5mza2fljYF5u3dxx4xvcXu93DVgII+XWqlVtFFn0bSQje+enGwm/74OXddLNuHSi4rILC6mU1ISrSsxepd26sJDZ59HalQ07429nM33PEDz2Fg8vuoNIzp0DCmMLcxiIdxqZcGeXfR953W2ZWYAMKB5S67peQapUYHlHquLLsKYzz/h5V9+Dqm9R9e55btv+M+Kn0qOuXUvTo+nwgiR98aMr3KYoYnpgjCpA/o2a84TFw7h/Aq0GUqzPzeH3TnZeHSdAc1bMqB5yypf8++L5nNG02ZBU5K/27aF99atYcOxNFYdPsSim27jorbtGd6ho99j/3HSiwq55btvGNO1G/cMHMSdA85k2YF9xNjCSkR6lu7fy10/fIfNYuHnW+8KWS6xc1IKozt3pblPRL5zcnJAIZ2qklVczK+HD3Fpp84lcdSt4+JpERuaWL1V05g8/ooyX0hju3ZnbCk3SGZxMSnl7rN8zLZJaJgrYJNaJ9Jm48befUOqEwfw5ZZNtImPD/p4C5BWWMB761bjCqLd8HvaUTYeSwva///OOocFN93GyE5dGN2lG78fS+ORBXOYv2d3mXazdmxnrS+s7YE5s9ibm1NSmSHf6eT2Gd/y57mzS9pf0KYdj51/Ebf06UdCFVwhbRMS+M/wkSGv4A/m5THwvTd5ZeWKCtt9uWUjf5w7q6RkvFKKNy8byzW9evP+ujXM3LGNRXt388TiBUEzB89s0SpodZFVhw9x7ofvsHjfHn7av4/pWzeHNH+TwJgrYJOTSr7Twc7srDKr3Jv79Kv00XvJvr28uGI5F7VtHzCpo7LClDaLhZaxcbSMjWNwu/Z8sG4Nr4wYxYiOndicfoznli/l1ZGX8a9li+mW0oSPxk3gsfMuJNthZ0i7Drz8y8+sOLifHqlNuKl335JxwyyWMnHD1eVwfj6T16/jwUHn+m0ofrdtC5+s/51ch4OelWTM3XBGXwY2b0nreH+XyldbNtEqLo5OicnM37OLJy8cEnBzszwH8/Kwe9x0SU6ha3IKd/QbSPfkVB6YM4uM4iImdO9ZtZs1OUGg2LRgLzMO2KSmPLdsiXSZ9LJkFxdXqZ/H65X9uTm1Moc9OdnSZdLLMmX9byIisnD3Lun2+ivy6frf5FhhgeQ7HOL0eOTXQwdF13UREfnwtzVy1w/fBhzvsQVzZdznn9RoTj9s3ypdJ70iWwLEG1/55Wcy8tPJ8uuhgyIisiMzUy748F15d+2qMu2cHo8Mev8t+ffypQGv4fR4xOP1iq7r4vXdVyhM+GKqXPDRu2WO/XvZUun2+ityMC8v5HFOZzDjgE0aArf3G8BZLVqRGFm1gosWTaNNfILf8WK3G4fHXWH13KMFBczbs5Prz+iLVdNon5DI4ptvL3nM7pqaitPr5dON67net7qdvnUzjy6cx2cTrmZgi5bc2ncAt/YdEHD8nqlNaizDOLpLNy5s24648LIuCafHQ0ZREVf06Fkiqp5tL+ZoYQHLD+ynaXQMk1atpNDpZPHNt3Nx+46cFSQUbvrWzXy3bSufTriqSll9zw0bQbGrbMbb2G7dSY6KomWIvmWTwJgG2OSkcP+PP9AxKYk/nX0ewzpUT3wlEPf9+AM7szJZXqr6Rnnm7N7Jv5cvxapp7M/N4/ELLqJFbBz5TgerDx9maPsOfD/x+jJ+zxEdO2PRtJAkH68v5ZKoKl5dZ+I3X3BRm7Z8s3ULTw0exuB27QF4cvFC8p0OeqQ2IcJq5YHZM3l+2AgGtWrN9vv/hAIenDOL9KIihrbvQJjVyr+GDg96Lbeu4/R6QlaNm7d7F3tzsrl7oH94XveU1CoJCJkExtyEMzkpODwenB5PrY9794Azeeic8zhWWFgieVmeG3v3Zc4Nt7A1I4OZO7eVGKAvNm/knh9nsDc3hzOaNitT8TcmLIxxXbtX6CPNKC5i5KeTK5VTnPz7OjZUsEFo0zSy7XbSigrJtBeVHLdoCqum8eZlY0mNiuGnA/t4ZP4cFu3ZjaYUSimK3W5So6N55ZJRla7Cb+zdl28nXh+S3xcM3/PnmzaE1LYqvP/Yp3z6r69rfdzGiLkCNjkpvD/28mr3LXA6iQ0SUXF2q9ZkFBVx4eT3GNelO4NateLycptCx90Ozwy5mKdKJXZc26sP3VJSy6Q3VwUNhc1iQdOM8XIddt5YtZI/DDyLZN+motPj4eWVPzOmSzd6l1pNXzf9S9olJPDc0BF8fsVE9uRkszE9vczmZKHLxf68XD7ftIGxXboxsmMnhk75kE7JKQz1VRx5e/S4oF88NWXSpaPLCBfVFnvW7yciunrJM6caZiacSYNma2YGl38xlZeGXxpQCxhgxratTFq9ksSICI4UFFTojqhLZmzbyh/n/cjVPXrx74svKTmeWVxMXHh4Ge2LxxfOo11CIrf3GxCwKoWIcPGUD9E0xf68PN66bCy9mzQjOSqqVsr+FLpcRFqttVIRw6RyzEw4k0ZJ67h4ruvVmz7N/H2x2fZihk35kCX796GAd8dczoxra5aN9dvRIyzYs6tafS/r0pV7BpzFXQPOLHM8JSrKT3jouWEjOK91G3q//To/BXFhtIiLY0K3nnxz9XW0T0jk/I/eq7ZLwKPrrE87iojg9nq54KP3eHrpomqNZVJ7mAbYpEGQ53Aw+OP3/QL7Y8LCePKioQH1EayaheTISCZ078G8G28lISKiwmiIUHjpl5/5x5LqGSaLpvHweRfQPCaW4Z98xNQNv1fYvllMLMM7dKRdAGF0pRSfXH4V95w5iJ1Zmfx1wVzuHjCwpPJzVZ5cwRAuuurraaw+chirpnFb3/6M7tIt5P7pRYW8v25NnfjxT2dMA2zSIAizWGgVG18lLYS48HC+vOrakFOe/zT3R8Z/MbXCNk8NHoqu6/wYpOz8ykMHuWjy++zPzQ06hkXTaB4TS0ol95IcFcWrIy8LGF5XGpfXi9Pr5b4zz6ZNfALrj6XR++3XWXX4kF9bp8dToi9RmsHtOvDMkIvp07QZSin+b9A5JWFtpTken1qexfv28p8Vy9iTk13hXE2qhrkJZ9IgiLTZ+HTCVdXun+90+MXQlmdg8xak+FbIDo+bQpfbT9OgSXQMnZKTgxrP6LAwUqOiCbcGjyQIs1iYcvmVVbyDshwrLGTiN9N48sKhXNOrd0kNO4Cm0dFc0KZtiY5Ead5bt4ZJq35hyc13lKl2ERceHlQnozTDP/mIAS1a8kIpHzbAVT16MahlqzKSlw6Pm22ZmfQtVZ7epGqYK2CTRs+vhw4a1XUP7ONIQT4ztm8NuIq7vndf/nbhYAD+Mm8OI6dO9msTFx7OJ5dfVbI6FBFWHT5U8uh9RpOmfH31tUG1EhweIzEkVFYfOcTN331NgdNZ5niYxUJqVHRAneNmMbG8ednYgOnGV3Tvyb+GDqdZNQtdDm7XnnNbt/E7rinlpzf86Yb1XP31NHNVXANMA2zS6OmcnMyNvfvRLSWVTzes5+H5c8i22yvsc0vf/jx87gW4vF6e+WkxW32P7ftyc3hy8UIKfZlf64+lccO3X/H99q0hzeWab77kmq+/CHnu6YVF7MrOxlHOt5oYGclXV11bxk2w/lgadnfFxr15bCxX9ehVRsZTRFi8bw/55Yx8IP5+4ZAKBeBLc3m3Hvx3+Eg/w2xSBQLlJwd7mVoQJvVJRlGRrDx4oMI2hU6nX/02j9crN3/3tXy9eZNf+7SCAunxxqvy0W9rRURkxvat0u31V2RnllEvze31yvfbtoRc5+y7rVvk262bQ2pbEeW1Gg7l5UnnSS/LG6tWBu2zZO8e+eOcWeLxessc35OTLZ0nvVyiHbE5/Vi16vGZVB+CaEGYK2CTRsOkVb9w8/ffUOQKXok3OiyMHqlNyhzTRcgsKiLbUezXvmlMDKvuuIeb+/QDYEyXbqy76z46JSUDRhLHOa3aBNUMLs+4bt0Z361HmWP7c3MrzZYrjd3t5uz33+Z/v56QnmwRG8uLw0dyVY9eHM7P59wP3mHh3rJSmlsy0vnl0AE/yc528Qm8P+ZyrunZm2OFhVz+xVTeWbs65PmY1B1mIoZJoyGjqIid2VkBfZTH8eo6bt0bUnWKIpeLXw4dYGj7jkGTG/bn5jLi08n8/cLB3FhNzYcH58xi4d7drL/7/pASH7y6zuOL5jG6SzcuaNPO73yO3c4dP3xLnsPBu2PGl9RlCwUR4fvtWzm7VeugfmyT2sdMxDBp9KRGR1dofAEeWTCXwR9/ENJ432/fyr0//sDmjPSSY9n2YgZ//D4zd2zD7fWy/lgadw8YyEVBiohWxMK9u9mXm8MTFw7hiysmhpx1ZtE0Xrh4ZEDjC4Z/+OnBwxAEdxVThZVSjO/WwzS+DQQzDM3klGJ05660rSSu9jjju/WgZWwcvUq5LMIsVlrExJEYGcnKwwf5y/zZvHrJqEpjdcvj0XUemD2LSzp24uVLRvmFu9WUXk2asvCm22t1TJOTj+mCMDEJglfXWXHoAGe3bF2pgtjvaUd5eP4c3hszviQqYFtmBk2jY0iMjCStsIBD+fkMbFH1eneVsTn9GGuPHuEmnx/bpOFhuiBMTKqIRdO4oE27kOQbLZpGuNWCRZ34SHVLSS0Rnn/h55+4+buv60RdbNrmjfxnxTIzTbgRYq6ATUxOAkcLCjiYnxcw/bcqvLpyBbuys3h91JiSY06PhzyngybRtSd0b1K7BFsBmz5gE5OTQPPY2DKpwdXF4XFjL5dpF2610sRqGt/GiOmCMDltOJyfz2FfufbGyqPnX8QHYydUu39xgZ3X7nmXQzuO1OKsTKqLaYBNThvu+OFb7vjh2/qeRr2SdSSbeVOWsnz6r9zV5yEObDtc31M6rTFdECanDc8OHY5QNR3d0hzMy6NVXFwZnYXGRuuuLZme+SEHtx9hwdRl9T2d0x5zE87EJAQ2HEvjyq8+5z8Xj2R8t9DEakxMjmOGoZmY1IDOScn8+ezzOK+NkYm34uABnly8AL2KlSlMTEpjGmATkxAoSMtjVEzLkoodvxw6wI+7duDymrG3JtXHdEGYmITAHy98gowDmUzd9xZgiNp4RbCaVYVNQsCMAzYxqQEPvH4HRXkn5CyVUlgDbMY5ip1ERIWfzKkBMHPHNr7btpV3Ro8zS803IszflIlJCHTo3ZYzLqh482313N+ZkHwrW1buKDmm6zpFeUV1Pb2STDuv6ZNuVJgG2MSklmjXszWX3DqYlp2alRz74PHPuKrZneSk59bpte8ccCZzb7iFsBB0K0waDqYBNjGpJVJbJfPgm3cRnxJXciwsIgy3y83RPcfqcWYmDRXTB2xiUodc/7cJDBrVj65ndqrvqZg0QEwDbGJSh1htVrqd1bm+p2HSQDFdECYmJib1hGmATUxMTOoJ0wCbmJiY1BOmATYxMTGpJ0wDbGJiYlJPmAbYxMTEpJ4wDbCJiYlJPVElNTSlVAawv+6mY2JiYnJK0lZEUssfrJIBNjExMTGpPUwXhImJiUk9YRpgExMTk3rCNMAmJiYm9YRpgE1MTEzqCdMAm5iYmNQTpgE2MTExqSdMA2xiYmJST5gG2MTExKSeMA2wiYmJST3x/0ZffLewU3spAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dbscan_labels_ = DBSCAN(min_samples=10, eps=0.12).fit_predict(X)\n",
"plt.title(\"Interleaved Moons w/ DBSCAN\")\n",
"plt.xticks([])\n",
"plt.yticks([])\n",
"\n",
"plt.scatter(X[:,0], X[:,1], c=dbscan_labels_, s=0.5)"
]
},
{
"cell_type": "markdown",
"id": "a7b8e4c7-4fff-4c92-85e3-131bb68d0a69",
"metadata": {},
"source": [
"## HDBSCAN\n",
"\n",
"HDBSCAN removes the need to specify a global epsilon neighborhood radius around each point (`eps`) and instead uses the `min_points` argument to create a radius to its k-th nearest neighbor, using the radius to push sparser regions further away from each other. Since HDBSCAN is built upon the agglomerative clustering technique single-linkage clustering, each point starts as its own cluster and is merged into a tree, bottom-up, until a single root cluster is reached. A `min_cluster_size` argument allows us to specify a minimum threshold for when clusters in the agglomerated tree should be merged. The dendrogram is cut at varying levels, or selected, using a measure of cluster stability, based on the distances between the points in each cluster and the clusters from which they originated. Clusters which are selected cosume all of their descendent clusters. HDBSCAN provides an additional option `cluster_selection_epsilon` to set the minimum distance threshold from which clusters will be split up into smaller clusters."
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "70877443-7018-41b9-9afd-48e6423e5904",
"metadata": {},
"outputs": [],
"source": [
"from cuml.cluster import HDBSCAN"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "f7114ace-6699-4295-a321-fb145b255005",
"metadata": {},
"outputs": [],
"source": [
"labels_ = HDBSCAN(min_samples=10).fit_predict(X)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "4cfe8220-02b2-4f90-8263-8b771c35c71b",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([-1, 0, 1], dtype=int32)"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.unique(labels_)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "97353da3-b2be-4264-96bb-9fcb0fcf9f28",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7f293054af70>"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(X[:,0], X[:,1], c=labels_, s=0.5)"
]
},
{
"cell_type": "markdown",
"id": "cb442a6a-e6af-4e5c-a16f-bd858bebc04b",
"metadata": {},
"source": [
"Adding the same clustering against the reference Python HDBSCAN implementation"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "9273a543-be4f-410f-a1e4-3f4d4f06b630",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7f292ce4df40>"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from hdbscan import HDBSCAN as HDBSCANref\n",
"labels_ = HDBSCANref(min_samples=25).fit_predict(X)\n",
"plt.scatter(X[:,0], X[:,1], c=labels_, s=0.5)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python (cuml_2108_072021_3)",
"language": "python",
"name": "cuml_2108_072021_3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.10"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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