{
"cells": [
{
"cell_type": "markdown",
"id": "a7261cd4",
"metadata": {},
"source": [
"# Clustering"
]
},
{
"cell_type": "markdown",
"id": "db63aba9",
"metadata": {},
"source": [
""
]
},
{
"cell_type": "markdown",
"id": "c63859d3",
"metadata": {},
"source": [
"Clustering is the process of examining a collection of \"points\" and grouping the points into \"clusters\" according to some **distance measure**. The goal is that the points in the same cluster have a small distance from one another, while points in different clusters are at a larger distance from one another.\n",
"\n",
"### Points, Spaces, and Distances\n",
"A dataset suitable for clustering is a collection of _points_, which are just objects belonging to some _space_. In its most general sense, a space is just a universal set of points, from which the points in the dataset are drawn. All spaces for which we can perform a clustering have a distance measure, giving a distance between any two points in the space."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "ce93eeff",
"metadata": {},
"outputs": [],
"source": [
"# Import pandas\n",
"import pandas as pd\n",
"pd.set_option('display.max_columns', None)\n",
"\n",
"# Import seaborn\n",
"import seaborn as sns\n",
"%matplotlib inline\n",
"\n",
"# Apply the default theme\n",
"sns.set_theme()"
]
},
{
"cell_type": "markdown",
"id": "39a95c9e",
"metadata": {},
"source": [
"## K-Means Algorithm (Step-by-step)\n",
"K-Means is the best known algorithm in a family of clustering algorithms known as _point-assignment algorithms_. K-Means requires a Euclidean space and assumes the number of clusters, _k_, is known in advance. It is, however, possible to deduce _k_ by trial and error. \n",
"\n",
"In order to explain the K-Means algorithm, we will start by creating a low dimension \"demo\" dataset that has a clear number of clusters (K=2)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "dac7656c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[[2.5, 1.1], [1.5, 2], [2, 3], [4, 6], [4, 4], [4.5, 5], [3.5, 5.1]]"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# create demo data\n",
"points = [\n",
" [2.5, 1.1],\n",
" [1.5, 2],\n",
" [2, 3],\n",
" [4, 6],\n",
" [4, 4],\n",
" [4.5, 5],\n",
" [3.5, 5.1]\n",
"]\n",
"points"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "d7c36c35",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
],
"text/plain": [
" x y cluster\n",
"0 2.605097 1.225296 0\n",
"1 0.532377 3.313389 2\n",
"2 0.802314 4.381962 2\n",
"3 0.528537 4.497239 2\n",
"4 2.618585 0.357698 0"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"blobs_df.head()"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "d7460892",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAxsAAAH6CAYAAABvWVHHAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAAAsTAAALEwEAmpwYAAEAAElEQVR4nOzdd5xV5Z348c/p5/YpDFVQpAkiXRQUBQEBuyaWmJ5sTNusySa7ycb0uunZzSa/ZEsSk5hEY4m9g4Ci0qSqIB3pTLn99PP74zKjIwPMvTMDM8Pzfr3yesW553numXuZe8/3PM/3+5XCMAwRBEEQBEEQBEHoZPKpPgFBEARBEARBEHonEWwIgiAIgiAIgtAlRLAhCIIgCIIgCEKXEMGGIAiCIAiCIAhdQgQbgiAIgiAIgiB0CRFsCIIgCIIgCILQJdRTfQKCIAjC8b355pvMnTuXkSNHAhAEAaZp8qUvfYnJkyfz8ssv8+1vf5tHHnnkuPOMGjWKF198kZqamuMed9lll6FpGqZpEoYhYRhyxRVX8LGPfQxVPf7XxnPPPcfatWu5/fbby/slBUEQhF5JBBuCIAg9gGmaPPjggy3//dhjj/Fv//ZvPPXUU13yfD/+8Y8577zzACgUCnzhC1/g+9//Pl/96lePO279+vWk0+kuOSdBEASh5xHBhiAIQg/U1NREXV3dUT/PZrN885vf5PXXX0eSJGbMmME///M/t6xI/PznP2f9+vUEQcBnP/tZZs2adcLnikajfO1rX2POnDl87nOfQ5ZlvvGNb7Bz506ampqIxWL8+Mc/JpvN8te//hXf90kkEnz84x9v87izzz67018PQRAEoXsSORuCIAg9gGVZXHvttVx77bXMmjWL733ve9x2221HHfed73yHqqoqHn74Ye677z42bdrEb3/725bHzzjjDB544AF+9KMf8aUvfYmGhoZ2PX///v2Jx+Ns27aNJUuWkEwmufvuu3nyyScZO3Ysd911F+PHj+eWW27hiiuu4HOf+9wxjxMEQRBOH2JlQxAEoQd45zaqZcuW8elPf5qHHnqo1XFLlizhL3/5C5Ikoes6t9xyC3feeWdLYPKe97wHgJEjRzJs2DBeeeUVZs+e3a5zkCSJSCTC/PnzGTx4MH/84x/ZuXMny5cvZ+LEiUcd397jBEEQhN5LrGwIgiD0QNOnT2fIkCGsX7++1c+DIECSpFb/7Xley3/LstzqsRMlfDfbs2cPhUKBIUOG8Oc//5k77rgD0zS5+uqrueqqqwjD8Kgx7T1OEARB6L1EsCEIgtADbd++nT179jB69OhWP7/44ov505/+RBiGOI7DPffcw/Tp01sef+CBBwDYuHEju3btYvz48Sd8rkwmw7e//W3e+973YhgGzz//PNdffz033ngjQ4cOZeHChfi+D4CiKC3BzfGOEwRBEE4PYhuVIAhCD9Ccs9EsCAK+9a1vMXToUA4ePNjy86985St85zvf4eqrr8Z1XWbMmMEnPvGJlsd3797NddddhyRJ/PSnP6WqqqrN5/vCF76AaZooioLv+1x++eUt83zkIx/ha1/7Gvfeey8AEyZMYPPmzQBceOGFfOELX+Db3/72cY8TBEEQTg9SKNa0BUEQBEEQBEHoAmIblSAIgiAIgiAIXUIEG4IgCIIgCIIgdAkRbAiCIAiCIAiC0CVEsCEIgiAIgiAIQpcQwYYgCIIgCIIgCF2i25a+ra/PEQSiUNbJUF0dpbGxcKpPQyiTeN96JvG+9VziveuZxPvWM51u71tdXeJUn0KXESsbAqqqnOpTECog3reeSbxvPZd473om8b71TOJ96z1EsCEIgiAIgiAIQpcQwYYgCIIgCIIgCF1CBBuCIAiCIAiCIHQJEWwIgiAIgiAIgtAlRLAhCIIgCIIgCEKXEMGGIAiCIAiCIAhdQgQbgiAIgiAIgiB0CRFsCIIgCIIgCILQJbptB3FBEITTnSRJaJqCLEsABEGI63qEYdc/tyxLSBIEAYQn4wkFQRCEXkkEG4IgCN2MpimYpoqhq0iyTBgEIElIkkTg+9iOj2W5eF7Qqc+rqjKmqWEapedt5nsell16ziAQgYcgCILQfiLYEARB6EaSCQPD1HEa9lO/5DFyG5cSFLIAKIkaEuNmkpy8gEh1NcWiQy5nd/g5FUUmEdfQdB03fYiGF5/AObCD0HOQjSiRoeNIjJ9NNBrDthyyOafDzymcHppX5iRJIghCPM8XAasgnGZEsCEIgtBNVCUNFClk/70/pLDp5aMe97P1NL1wH03LHiAx/jL6zL8NOWGQyVYecKiqTCpp4DXuZ98zv6e4dQ3Q+mKw8MZKGhb9mfh5l1A7+4NUpUzSGeukbOcSeh5Zlo6skCkoauvLjDAMcWwXy/ZwHP8UnaEgCCeTCDYEQRC6gWSiFGjs/eNXcPZvO/7BYUB2zTN4mcP0v/nLxGIG+Xz5AYcsS6QSBs6+rez/63cI7MKxn9K1yK5+CvvNTQx437dIJgzSmY6vqgi9SySiEYsZhK5N9pUnya55Frd+L6HvIUfixEaeT3LKFaT6D8V1HDJZR6x0CEIvJ6pRCYIgnGKqqmCYOoce+s8TBxpvU9y2hvpn7iQS0VqSyMsRj+n42Xr23/3d4wYab+cc3Mn+v37nSF6JVvZzCr1XNKoTj5ukX/w7O3/+Ueqf+i3OwZ2EvguEBMUs2bUL2fN/X2DPnXcgOXmqkkZF/3YFQeg5RLAhCIJwikUiKm7TAfJtbJ06kewrTxM6FpFIeRf+siyhGxpNL9xHYOXLGmvvfYP8puVEDKWscT2JLEvouoJhqOi6iqqKr8vjMc3Sikb9M7+nYdGfCF3ruMfbb77Ont9+kbCYIZkwTtJZCoJwKohPT0EQhFNIkiQMXSWz4nHemSvRHqHnkF37LKZe3oV/JKIROha5jUvLfk6AzMrHUHUNTetdAYemKSQTBjU1MVKpKMlkhFQqQnV1jND3iEQ0JHEj/ijRiEp27ULSLz/c7jF+tp59f/0OqipWyQShNxM5G4IgCKeQpilIskzu1ecrniO38XlSU69CVeV2l8PVVYns+sWEXmWVpaxdr+I2HcQwqnDdnp/oK8sSyYSOpuvYB3dyeMVjFLauJrAKSJqOXjeE5KTLiZ1zIdGIRjbn4DjeqT7tbsEwVBRVpenFv5c91j20i8LW1ZhnjsM6/mKIIAg9lAg2BEEQTqHmdhZ+Pl3xHH6uCSitkrT7eRUFr2F/xc8J4DbsRRlU3aE5ugNZlqhKmQSFNHv+8lPsN19v9XjoWlg7N2Dt3IASq6J27kdIjplOLmdjWe4pOuvuwzQUijs24NbvqWh8ZuXjDBgxBVXt/N4xgiCcemIblSAIwinUUj62I3tz5PI/yiVJIgw6dmc+9Hr+hbYkQSppEGTr2fu7fz0q0HgnP9/Ewb//jMyqJ4jHjV63jawSuqGT27Ck4vHFbWvxrTy6Lu5/CkJvJIINQRCEUyg8Em2oyT4Vz6EmawHKKiEa+D5KJFHxcwIosaoe32vDNHUUWWLfX77VskJ0YiH1T/2W4o71xKKn9wVycyUpP9/UgVlC/EKmrJU5QRB6DhFsCIIgnEKu6xP4PolxMyueIzFuFr7r4vvt34Li+SHR0dMqfk4lUYMxYFiPz9eIGDK5jUvxGsvcUhYGNC27H03XT+vVjU5ZmeuM8YIgdFsi2BAEQTiFwhBsxycxaR7I5V+0ymac2LkzKNrl7XUvWh5G3RCMM0aV/ZwAyYlzCcMQ2+65W6l0XUHRNDKrnqhovLVjPU7Dfkzz9F3dCMOQMAxRErWVTyIrqNFUyyqfIAi9iwg2BEEQTrFi0UWNpUhOurzssVXTrkOSlbITlV3Xx3NdUhdcU/ZzSppJYtI8bMfv0duoNE3FbTyAvXdLxXPk1j+Hrp3eX6WO7ZIYf1nF42Mjzkc2Iti2qO4lCL3R6f0JKQiC0A34fkCh4FA79yNER0xp97jExLlUTb+efMGt6K5woegRP+fC8gIOWaHfu76AbMYpFCorm9tdyLKEl63v0Bx+tgFZOX1XNgAs28McOBy9/9kVjU9OWYBjO2VtAxQEoecQwYYgCEI3kM/b2I5Hv3d/kdSF1yLp5jGPlSMJai57P3VXfIJCwaZYrOyi37Y98nmb2jkfpPqSW0A6/leCbMbpf8tXiAwdTyZrl5WQ3n11NNegc86iJ3McH991qb74Jsp9QczBo4mcNRbL7tm5P4IgHNvpfTtGEAShG8lmbYJYSM1l76N6xk1k1y0it/H5I5V+JNRkLYlxs4ifezFIMrlc5YFGs0LBIQyhesaNJCbOIbPqSbJrnm5VmUnvN5Tk5PnEz7sEJIV0xurxieFQqt6lJTuQawAo8RoCT2z/yRU8kiOnUDP7AzQ8e2e7xmh1g+l307/h2I7YQiUIvZgINgRBELqRfN6hWHQxTY34hLmkpixo9bjnuuSLHpbldVpCbbFY6oYdicSouvhGqmfchG/lCF0b2YiimDF816VoBxSLxV6TyOu6HtGqvhgDR2DvfaOCGSQS42bhiEZ0OI5HLmdTdeE1KPEqGhb+ET/b0PbBkkzsnAupu/JT+JJKJiNahwtCbyaCDUEQhG4mCEIKBYdCARRFbullEARhl+1r9/2AXM4mL4GuqyiKgaQZBB746QKO0/NXMt7JcUpJ8snJ8zlUQbAROes8tOp+aIAig2X7WNbpe4feskq5Q/HRFxEfczGFN1aQeeVp3IZ9hJ6DEkkQHTmV5OR5qPFqwsAH10fXVbGyIQi9mAg2BEEQujHfD/BP4nV+GHJaXfhZtk/83ItpfP5evMZ97R8oyVRNvwG3YR+NS+4mNvYS4sMmEov65Ate2dXBegvb9nAcj1jMIDp8MrFRF7R6PHCK5DYsIbP6adREDckpC0gOm4hlOWSz9ik6a0EQupIINgRBEITTlmW5mIbCgFu/xt47v4yfa2zHKInaeR/FPHMM+//6XYrb15LbuBQ11ZfUtGtJTZ6Pokjk8z27WleldF0lEtHJrHmW9PJHUKJJJEUlsPI4h98kdIoAOAe2U9iyiuiIKfS94fMkEwYZEXAIQq8jqlEJgiAIp60whHTGRo5VM+jDP8AcMua4xyvxavpe/zmSky7n8GO/prh9bctjXvog9U/8D4ef+G+iUYNIRO/q0+92FEUmETfIrl3I4Ud/hXtoF9bODRS3rcHe+0ZLoPF2hTdWcuCe76PrCtHo6feaCUJvJ1Y2BEEQhNNaEIQ0ZWySiQQD3/9tnEO7Sa98nOLW1QRWHknT0fsMITHpcmKjphK6Ngfu+xGFTcvbnC+z6kmUeA1VF70L23Z7SYng9olENPx8E4ce+01Z44rb15F+6SGSF1xNodBFJycIwikhgg1BEAThtBcEIU1pG03zMBP96DP/Y0hS654RzsFd1D/1f2TXL2nzDv3bNS27n9T5VxKJaKfNdipJAtNQaHz5CQjKz/vJrHqS1LTrME3ttM15EYTeSAQbgiAIgnCE6/q4rk8+71CVNHH2b6Vp2b342UacA9vbPU/o2mTXPkt80nzy+S484W7EMDQIIbvm2YrGe5lDFLaswhwyDktUwxWEXkPkbAiCIAjCO0iShKKpNC39K8Utq8sKNJpl1jyDoqpomtIFZ9j9qKqMc3j3kSaUlSluW4OqifuggtCbdOlf9Pvf/34aGhpQ1dLTfOtb32L8+PFd+ZSCIAjCaULXSxfyzbudgiDEtr1O6UXS3NvEbdhf8RzekbHNc/V2kiQRWB1bxgnsApIs7oMKQm/SZcFGGIbs2LGDRYsWtQQbgiAIgtARkiQRiWiYuoyiabjpQ/iFDJKsoCf7EKuJ49oORdvvUL+Q5gAmrCD3oFkY+K3m6olkWcI0NXRVeus1CcHxQiyrdfJ7GIZImtGh55M0o9d0qBcEoaTLooBt27YB8JGPfISmpiZuuukm3ve+93XV0wmCIAi9nKLIpBI6khSSW7+YzOoncPa/bXuTJBMdMaXUKG7oOGy71CiukmvX5otoJZLAzzZUdL5yJH5kroqGn1KKIhOLauiGRuja5F9fhpct9SBREzXEzrmQaDSKbXsUCi6+HxAEIWbNQCRVJ/QqS4o3+p5F4J0+TSUF4XTQZcFGJpNh2rRpfPWrX8V1XT7wgQ8wdOhQLrroonaNr62Nd9WpCW2oq0uc6lMQKiDet55JvG+VCQMf59Bu9v/12/i5prYOoLB5OYXNyzHPHEv/G79EbU0USa4sZyIMfGKjLsA5uLOi8bFRFxCGIalUpKLxp1IY+HhNBzm88EFyG5YSuq0ztg8/+T/Ex15C1YXXUl1V1+o1jo2eRm794rKfU9JN4uNmImsadXVah3+HtxN/cz2TeN96Byk8SeuVv//979m7dy9f/vKX23V8fX3utKpNfirV1SU4dCh7qk9DKJN433om8b5VpqbKxGvcx947v3zCsrPN9AHDGPj+72B7Iblc+Xfa43EDLSiy6z8/Bke2RJVj0G0/g0T/HtUVW1UVqlImhW2vcPD+nxC6xz93STPpd8PniZw9gaZ0kWhUI6zfxd7ffbHs505Mmkef+f9AQ0OhU7//xd9cz3S6vW+9ObDqsiyslStX8uKLL7b8dxiGIndDEARBKJtpasiKwoF7vt/uQAPA2beV+md+h2nqFSVpF4suaixFfEz7VuTfzjxzLEbdEIpWz9oSlEzoWG++zoF7f3jCQAMgdC0O3PtDrD2bSSYMLMvDHDicxPjLynpeJVFL9SU3Y9ueuNEoCL1MlwUb2WyWH/7wh9i2TS6X44EHHmDu3Lld9XSCIAhCF5IkCcNQMU0N09QwDPWkVVkyDZnCGyvx0gfLHptbv5jQsTDN8rfl+H6AZTn0WfAJ9H5D2z1OrepHvxu+gGM7uG75KyKnimGoKKrKoYf/C/z2B0mh73L4kf9CUVUkSaJQcOhzxSeJjbm4XePVZB0D3vsNJD1a0QqUIAjdW5ctNcyaNYu1a9dy3XXXEQQBt956KxMnTuyqpxMEQRC6gKYpmKaKoatIskx45CJUUlTCIMB2PCzL67KLalWV0XSdw6ser2h8qbneQuKT5lEolD8+m7WpShkMfP+3OXDfDyluX3fc4/UBw+h/8x2Emkkm3XO2TwFEDIXC1jV4TQfKHus27KOwfR3mwHNIZ2wkCfpd/zkyZ40ls/LxNvNeZDNGYtwsqi56F6EWIZ21RSUqQeiFunRf02c/+1k++9nPduVTCIIgCF0kkTAwTR238QD1Sx4lt2ExQTEHgGzGiY+dQfL8K6mqGYBtOV2Sm6CqCqHvUdy+vuI5CltWkpp6JbIsVbRFJ52xSSQMBtz6daw9b5BZ+Rj5114k9N3SAZJMdOT5JKdcQfSssbiOQzrdsy6cFUVGM3TqKwzqADKrHqf/0HEoiksuZ+P7AbHzZpKcOBfrzU0UtqwisPJIqo5eN5jYuRcjySq27ZHrYa+XIAjtJ5IoBEEQTmOqKrdshwqCEM8r1WlNJQ1UBQ7c/xPyr70ItL4QDKwcmZWPk1n5ONFRF9D32ttJJQ3Smc4NOGRZIrCLRz1/OfwjjeYqDTbCEDIZm7o6HbnPmfS99naCKz9FUMxCGCJHk8iqhu/72LaL4wQdOt9TQVFK/wbsvVsqnqN5rKJI+H4p56VYdNF1j0jdUFL9z0aWFcIwIPADinZIsVgQQYYg9HIi2BAEQTjNyHJzYzwF+R2FO3zPIwxBlkL23fV17Dc3nXC+wqaX2fenrzHgfd8mkTDIduIKRxiGSB0sLiIp2pG5On4+6YyNojgYhoZuJlFkkGQFN1NPYBeQdZN4vIZ4TMeyPSzLbQngujPpSMe+wLFOcOSxNY+V3tHF0HE8HKdnJcoLgtB5RLAhCIJwGonFdCIRncApkln1FLkNS/BzpaZ1SqKW1PlXkjjvUg4+/F/tCjSa2Xu3cOjRX9Lvus9RLHbeBXYQhMhGBCVRU3FzPb3PGYRhSNBJ3fUURSEa0Uqv4cqnyax+qlWegxxNkhg3i+SUK6iu7kM+b1ModO/E5+bVBdkw8d3KAg5ZNwFENSlBEFoRwYYgCMJpIhE3MAyVhmf/QGbVE0d1efZzTYSBj28XiY+5mOSkywl9Dz+fJv/aMvKblkNw7DvU+VeX4V32QUwzTi7XOasbjuMR+D7JCXNoXHpPRXMkJ8/Dsd1OWdkwDJVEwiT/2jIOPfxfbXbKDgoZ0i89SPrlh6m6+F3UXHILQLcOOHy/FIiZg8eQf21ZRXOYg0e3mksQBAG6sPStIAiC0H3EYjqGoXLgvh+Sfvmhoy6S9QHD6PvufyUxbiaSJBF6Ds6hXXhNB1ET1fS74fMM+cyvqb7kFiT9GB2xw4DM6icwDQWpk6rihiHYjk9i8nyooBO4MWAYRv+zsezO2caTiBvkNi7l4AM/azPQaCUMaFr6N+qfuZNYrBTodVe+H+LYDskpCyqeIznlShzbESsbgiC00n0/+QRBEIROoSgS0ajB4ad+S2HziqMej42eTt9r/gm36SD1T/4f2fWLj2qep/UZTHLyPFIXXEV05Pnsv/u7bW5ryr36AjUzb0VVlU4rh1ssukRqUlRNu46mF+5r/0BFpWbOh/FcF8fp+LmEYYCXOcShh39JOQng6Zcfwhw8hujQCdidFPR0Bcv2SQ4Zg1Y3GPfQ7rLG6n3PJDJ4FOl0+5suCoJwehArG4IgCL2caer4xRzZ1U8d9Vh01FT6Xv85cq++wJv/88+l7VVtdOl2D++m/sn/Zc/v/g3FjDHg1m8gm/GjjvPzTQCd2vDP9wPyeZuambeSmDSvfYMUlb7XfhbzjFFkc26Hz6E56Tmz4rHjbiU7lvSKR1B1DU0rf3XmZLFtD9916XvNZ5E0s93jJN2k7trbjwR13TeYEgTh1BDBhiAIQi9nGjLZV55+qy/EEUqyD32v/Sz5114sdY1ux0W0e3g3e+/6BkokTt1Vnz7qcUkqfa10djXTQsGhUHCoW3Abfa78FFqfwcc4UiIybCIDP/BdYqMuIJO18LyOr2qYpga+T3bdoorGWzs34DTswzS794aCdNZBqxtM//d8tc1g8p3kSJwB7/kaWu0ZZLLdNydFEIRTp3t/6gmCIAgdomkKsqKSXb/4qMeaE8APPfIrytkW5DXup37hH+l79T+iVvVrVYlJTdUBdEnvhHz+SKO4sZeSnDCb4q5Xyb+2DD+fRlJU1FQdiYlz0VJ1uI5DU7rYaVWxNE2muOtVgiM9OypReP0l4lOu7JTz6Sq+H5DOWKQGDOeMj/8HmZWPkV3zbMuKVTMlXkViwhySU65AMmKkM5ZIDBcEoU0i2BAEQejFmrf/+Nn61g8oKskJc8itW0RYQanT/Ksv4M/+IMlJ82hY+IeWnyfGzSLwvE7L13gny3KxLBfDUDH7Dad28Oi3ekT4Prbjk2vMd3pvC4mw1MSvA/xiFlnu/hsKPC+gMW0RjUapmnEz1ZfcTHHbWrwjJZLVeA2Rs8e3JO8X0pZIChcE4ZhEsCEIgtCLNVeFeuelYGzE+SixFJlVT1Y0b+g5ZNcuJDH+MhoW/QnCAEkzSEyYg9UJydgnYtvekWRrG0nq/G1b7xQiISkdbC6o6gBEo3opP6IbrwQEQUguZ5OXSlvItMHnoR75VxQikcu72J1UTlgQhN6t+99iEQRBECrWfMdZjVe3+rlWOxAv14TbsLfiua3dr6JEEyjRBACpqVch6SbFYscTsstxMi54g4Dj5Im0j1YzkNB3MGWHmpoYqWT3LocLpde2WHTJZCzSGZt0xiaTsbAsEWgIgtA+ItgQBKFXU1WFeNwgkTBJJk0SCRPT1DqtD0R353k+ge8TP3dGq5/LeqTNqlPlCOzSeEmPEh97CTUzb6VQ6J19FmzbRe8zCGPQyIrGy5E4sXMuoOmF+9j5849y4N4f4e/bTDIZIZEwOvlsBUEQug8RbAiC0CuZpkZVyqC6OorqZgj2vYa3ax007CQe06mpjhKPGyhK7446mvfVJyddDvJbd9ED10bS21/etC3ykfHJyfPpe+3tFItOt+6S3RGu6xP6HsnJ8ysanxg3C0mSya5dCIFPftNL7Lvr6+y/+3voCqSSIuAQBKF36t7rt4IgCGWSJEgmDDRdpbB5BYdXPkFxx3renrWgJGpITphDYvJ8jFScTNbusoTm7qC5KV5i/CyyrzwNgNd0ECWWQkn2wc8crmheY8AwwsAndf4V5PN2rw00mkmKSnzMxWRWPo699412j1MSNaQuuIbca8sICplWjxW2rGL/X7/DgFu/Tiymk8/37tdQEITTj1jZEAShV0klDBQ89v3x6xy494cUd6zjnenRfraBxqX3sPuXn6S4fQ2ppNmtm611lCxLhGFAn8s/innWeQDkN71EaBdLKx4VTaqQnDwfz4f6hkKvDzSauZ5P/1u+gt7vrHYdr8Sq6H/zHRD4NCz8Y5vHWLs20rj0biKmetps7xME4fQhgg1BEHqNeNxAkWH/Xd/A2v3qCY8PXZsD9/w7xe1rSSaMTu163Z3IsoQkyRR3bWTAzXeQmDCb0PfIrnuOxPjZUEGVpdjIUjWrbNbqkp4a3VUmaxMoBgM/8D2S51+JbETbPlBRiY25mIEf+j5KJMG+v34HP9d47HlfeRrCsNQ8UBAEoRcR26gEQegVJEnCNFQanr0Te9/W9g8MAw488FPOvP1/MU2tV9+hP3Dvj+gz7yPUXfkpqi+5mdzrL6FEE9TO/iD1T/1fu+dRYlXUzP0Iju106/KtXSEMoSltEY8b1M75EDWz3kduw2KKOzYQ2AVk3UTvN5TkhNkosRSFbWs49Mgv8bMNx503KGTIvbaMyKhpJ72alyAIQlcSwYYgCL1CJKKV7tavXVj22NAukF27kPiEuRQKXXByp1jzyoMSSXDokV/R9PIjpCbPJzn+MiRZIXX+FYSuTcOiuzhRJ3ElUcOA93wNOZKkKWOfhLPvnnI5m3zeIRLRiI2dSXLi3JbHfCtPbt0iMqufwq3f0+45i1tWkxh7CVB+k0VBEITuSgQbgiD0CqYuk9vwHIFdWbSQWf0kqSkL0HUVx/E6+ew6h6Yp6Lrast0rDENc1z/S3O7YXNcnDAJiY6aTfulB3EO7OPzEf1O/8I+YZ4wiPnYGqWnXYgwaSXr5IxTeWAlh6xULJZYiMX42qQuuBi1COts7S9yWIwxDCgWHQgFisRDVOsye336R0C5yoqCtLb6VB0rb3k7311YQhN5DBBuCIPR4kgSKplHctrbiOdxDu/HyaVTVxOlmO6lMUyNiKKi6hps5jNd0kND3UGJVJPsOIfA8LMenWHTbvEgNQ7Bsj+SUBaRffrglkAidIsVtayhuW0Nu4/NUX/xu+t/4RbzMYfKbVxAUc0iKilrdn9jIqSCBZfsUMnavvRhWVRlFkZEkiTAM8f0Qz2tPpbIQSVYJKwx2AeQjHcZPpxwYQRB6PxFsCILQ40lHSvhUuqrRLLALSGakM06pU0iSRDKho2kq+U0vk1n1BNbODa2O0WoGkJg0j8SE2Rgpk0zWxvOOzqOwLJfq6jpi51xI/rVlRz1e3PoKxa2vlPINJs/DHDwGJRIj9Er5A5Ki0NiYw/N6z4WwqsqYpoYsSygyyLKMrJSqkoVBgCSXaqh4jovllAIOSQJNU48k3Zc6tLuuTxCEKPFqJCNaccCh1Z1BGPiiM7cgCL2KCDYEQejxmi/OJE3v0Dyyqnebu8qSVGr0JnsWe//8Vey9W9o8zm3YR8Mzv6fphXvpf9OXSQ0YTjpjHRVweF6AZTnUXf2PuE0HcI6RRO8c2M7hx37d8t/mkDEMuPXrFIvOCQON5ot3VQZZLr0vwZGmgpbVfbamGYZKxFTQdB03fRhn/1Ycx0I2ophnnIMSTVDcvo7MqscJrALJyfOInTONMPCprYkiyQqh74NE6f+HpdUPSZZJnHcpmZWPl39Skkxy4uVYdu/t9yIIwulJBBuCIPR4YRgSBj563zMpbF5R0RxyJIESqyIodI9KQPG4gRJ67PnjV3EP7z7h8UExx767vsGA93+HZN8zaWwqHnWHPJu1qUoaDHzftzn40M8pbFp+nBkl4mNnUHfVp3G9gFzu2MngrS7emw5Q2LKawMohqTp63ZnEzx5PLOpj2QGFgn1K79wn4gZmRCe/ZRWHVz5Ocesa3p5fISkasdHTSU6ZT/+b/o2GxX/h4N9/hhL7LXXX3E5k6Dj8Yg4lEsfL1hNYBSTdRI1XA1Az54M4h/dg7VhX1nlFh09CTdaSbcx34m8rCIJw6olgQxCEXsGyfZKT5tH0wv1HJTe3R2L8ZSBJJ0y2PhkURcI0dQ4+9It2BRrNQs/hwL0/YMg//hrD0LCsowOnpoxNMmHQ/91fxGnYR2bFY+Q2LiEo5krPHUsRP28mySkL0FJ1WEWH7HECjVhMJxo1Shfvyx+luP3oJopqVT+SE+eW5kyWtnqdipyPRMLA0GQO3Pcj8q+/1OYxoe+S27CY3IbFVF30Lmpm3gphiLVnM+bA4YSuTW7jUjKrnmz13siROIlxl5E8/woGvvfrNL34AA0L/3T0E0gy0RGTSU6ci1Z7BrIRIXBtFDOG53ptboETBEHoyUSwIQhCr2BZLpHqGqIjJpe/uiHJJKcswLK9brGNyjR1/GKO/KsvlD3Wz9aT3/QykWFT2gw2oNSYTrM8zGgttXM/TJ95H229LSgIsGyPXGP+uBe/0Wgp0Dj81G/JrHj0mMd5TQdoWPQnshuWMODWr5FMxElnrJO6whGJaBiGyoG//aBUbasdml64D0mPUDPzVsIgILByOAd2oEQSaDUDSmVtjwS2QTFH+uWHSL/8MKlp11J72ftBVml45vdHZpNITb2S1NSrUFN1WG9uIvfqC4ROAUkzMPoPIzJsIrU1ESw7IJ8/fcsKC4LQu4hgQxCEXsHzAlzboWb2B7F2vUpgtX87StW0a9FSdeS6yRYWU5fJLH+a0K9sS1dm1RPER09D01xct+0cANf1cV2fvOygaUpLkn0YOjiOf8KgS9MUYjGD+oV/Om6g0eo5D+1i35++zsAP/zuxmHHcrVmdLWIqZF95pt2BhjFgGKlp1xMbNZXAsSjuWE9QzIKiotcObKnalVn9FOnljxC6zb9LSPrFvxPYReoW3EZQzNH04t/pe/U/Ejv3IrJrF5FZ9TjO/u1HPaea6kti4lxSU69ESxqks063CH4FQRA6QgQbgiD0Gtm8Q1Wyjv63fJX9d3+nZWvQ8SQnz6dm1vvI59uu4nSyybKErKoUtq2peA5r54ZSaVxFPmaw0SwIwoq2jpmminNoN+kXHyhrnFu/h6al91Bz2QfI50/OxbSuqyiqRmbVE+06Pn7uDOqu/jRuw37qn/o/suuXEDrF1nMeqdpVddG7iI48n/13f4+gkGl5PLv6ScwzzqF6xk0kJ89DiSY4eN9PyG9qe/sWgJc+SONzd5F//UUGvOdrpJIGTWmxwiEIQs8mn+oTEARB6Cy+H5LO2mj9hjLoIz8iMX42ktp2hSpjwDD6XvdZ+sz/2JHGbN2juUZzw77A7tgqS+BYLXN1NlmWMAyN9MrHKhqfXbeIMPAxTa2Tz6xtpqFQ3L0J5+DOEx4bO2cafa/7LLkNS3jzfz9PZtWTRwUa8FbVrr1/uAM12YcBt34dSW9dNjm94hEkRUFN1HDwoV8cN9BoNff+bez7yzdRpJBYzGjfLykIgtBNiZUNQRB6Fc8LaEpbxGNV9Lnyk9TM/RC59YtxG/aV7vZH4sTOuRCj/9n4rks2ax0zt+FUaCnje4wgqb0kVSO0u2bVwDQ1Qs8ht2FJReODYo78xueJjL6I4tHX8Z1OVSCz88TVodSqftRd+09k1y/m0CO/atfczv7t7Lvrmwz84HepW/BxDj7487ce27cVe982lGRt2fk3zv7tpJc/QurCa8l3j919giAIFRErG4Ig9DpBEJLJ2jQ05LF9hdj4OdTM/iB95v8DVRffCFVnkE4XaGjqXoEGQBAEhGGI3vfMiudQU3XImtFlFZ9kWcI5/CahY1U8h73vDRS18+53SZKErquYZikRXNcVjqShIMkygX3iqCY5eT6hY7XqM9Ie7uHdNCy6i9iY6SiJmlaP5V9/EUmp7PfMrn4aSZJP2gqQIAhCVxDBhiAIvVYQhOTzDo1NFvUNBQ4fzlPfaJHJ2jhO92yeFobg2C7JyfMrniM5aR6B73VZGV9JkjoUaEBpm1dzh+6O0DSFRMKgtiZKKhUhkTBJJiOkUlFqqqPE4wZhECJrx9+OJKk6ifGzyK55ltArf0tdbsNiQtcmOfHyVj/3i1lk3Sx7PgAvc4jC1tUY+tGvk6YpGMZbwZWmKRU9hyAIQlcT26gEQRC6maLlUdX3TIxBI7H3bC5rrKRoJCbOxbK7Ltk9DENkI3LiA49D1iOEQeXnKEmlBn2GqeM07KN+8WPkX3sBv5AFSUJN9iExfhbJSfOQ5Rj6wOHHnS92zjRkM0bmlacrOp/QsciuX0xi4hwal/z1rfNUNEK/8qDP2bcV86zxpbkkCdPUiBgyiqaVXj9JaqkkBuC5LoVi1wWagiAI5RLBhiAIQjfjuj6e61J7+UfZ98evlnWnvfqSm5HNGFYXlvH1/QCjzxnIZqysEsNvZw4eje9VdkEsSZBKmiihx/57vn90Oduw1NujcfFfaVx6L3XXfIb4mOmoyTq8zKE259RqB+Jl6vGaDlR0TgDWrldJTVmAZEQJ7UJp3poB+PmmiucMXBtJljAMlUTcIAwDcG3QNOx9W8iuew4vfQjCoNSQcczFJIZNJB7zKRQ9isXutU1QEITTjwg2BEEQuqFsziHVbyj93vUvHLj/x2/r43BsVdOvp2r69eRyFr7fdSVlLcsjFo2SGDeL9PJHWn6u9z2TyLBJKJEESKVE8OL2tdj7trYar8SqiJ0zjXyFF8KJuIESeuz9wx2tKkxJqk783Isxh5yLHIlDGOAXshRef4nYiCkkJs2l8bk/tzmnrEcI25HXcTzBkQBD1iP4dqG0NWvcTDKrnqx4TtmIEAYhyWQEa/frGINGUtj9Go1L78F5x+sKkFu/GDXVl9SF15CasgBZlkWDQEEQTikRbAiCIHRDnheQydokh45n4If+nabn/0Z+03IIjl4NMAaOIDXtWuLnTCOft7v8bnYYlnpzJKdcQXrlE8TOuZDUlPmYg0cTWHm8fBoIUaIpama9F2vvFjKrniC/8XlC3yUxYTZIVJScr2kKhqmz76/fbQk0lEQtqQuuJjFuFrIZxd7zBn4+DbKMMWA4yQmz8e0CqalXkX/9xTYb6gWuhaR3rMxsc25G6JbyWeLnzkDSI2TXLap4zshZ45AVmfzmFURHTCaz6knqn/w/4NjBpJc+SP2T/4tzYDt1V36KMAy7TWlnQRBOPyLYEARB6KZc1y+V8U31p98Nn8fLp8mtW4SXPkjo+yjRJLExF2H0OwvPdclkiidtr37Rcqmq6svgT/4Craovxe3rOHDvj8i/sQKCI8n3kkx02ESSk+dTd9WnSE2ZT8Nzf6bq4ndTtHwq6efX3EywuHU1UAq0+t/0byBJZF95mszqp/DSB1uN0fsPJTl5AfHzLmHAe77Ovr98C2f/tlbHeOlDqIlalFhVxdue9P7D8K08gVVAjsSpuvjdEIYYA4fj1u8pf76+Z2KeMQp7/w7MM0ZR2LT8hIHG22XXPIsSq6Jm5q3Ytofvn/qmlYIgnH5EsCEIgtCN+X5AOmOjKC6RSITE+VciKwogEQY+rhvQ1FQ4YafwrjivwPOQzRh77rwD+83Xjz4oDChsWUVhyyr0/kPpf9OX6Xfjv+H5YUVbe+QjuQuHF5WaCer9zmLArV/HObiD/X/792N2jHf2b+fwo78iu+ZZBrz36wz8wHfJrHiUzOonS/kOQP7VF6id+2ESE2bT9MJ9ZZ8bikpywmxy6xYhm1H633wHcrwGx/VInn8lufWLy54yOXkeoe9T2PYK1dOvp37hH2lvoNGs6aUHSV1wNaZpiO1UgiCcEqL0rSAIQg/g+wG5nE1Do8Xhw3kOH85R31Akk7VPeqABpbwJApe9xwo03sHZv529d36Z0ClSaV9zTVOQJJncxueRNIP+N30Zp34P+/7y7WMGGm9n79nEm//7eSAkdcE1DP70/6PfzV+m+tJbSEy6HKd+T6nksFT+V2P8nGkosRRO/V4Gfujf0fudTSZrUyx6mAOGUXXRu8qaLzpiComJc/HtPJEzz6Ww9RW8xv1lnxe+R2b1U5iG+LoXBOHUEJ8+giAIQllUVcYwdQ4/8kvcw7vbPc5LH+LAAz9FM/SK+kJIkkTou4R2gfi5F6Mkqjn4wE/blTzfcg4N+zj4wE+RFIVCwUEbfB7JC66l+pL3oNYORolXUzPz1rLOS0nUUDP7/QSuTd2C2yDeh6aMhecFuK5PPm9TM/PWdgccsVEX0veGL0AQklv3HOagkWTXPFPWOb1d9pVnkBUVXRebGQRBOPnEJ48gCIJQFtPU8DL1pYT1Mlk71uMc2o2Z6FfhikxpXSQ5eT6FLasrKlVb2LIaL1OPrCVIZ1oHKpGIRtX06wlci6bn7z3hXEqyDwNu/RpKNIXlBFi5PJ7XOjeiOTm7ZuatREdOJbPiMfKvLSP0354gLxE5ezzJKQuIDp+MbbkYptzSo8Nt2Ff279nMSx8kDAJkudI1JUEQhMqJYEMQBEFoN0kC01BofOlxCCtLOE6vfIw+8z9GPu8QBO3PQQjDEElRMYeOx+h/Ng3HKGN74okC0isfp2bme8jnaZWoXiy6SJJEzaXvwRw8hvTyhyluXcM7cyWUWIrE+NmkLrgGNJPG9PHLDRcKDq7rE6kdQt9r/wn/8o9g7X6NwC4gawb6gGFoqTpcxyGbtbBtD8PUQCmtAHWkMWDzeEk6sjpUSWa+IAhChUSwIQiCILSbqipIskJ+84qK5yhsXo604OOoqozjtH91w3F8wiAgOWE2AMXt6ys+h+KOdUjy+1AUuc2VCM8LiJ4xmgFnj8dNH6KwaTl+MYukamg1A4mNnFoq32v75NN2uy7gXdfHdX0UxcE0ddQzJyAREiLhBSG5xtarIoHvIeulTu1yJF7x7yqpOrKmE9cgfmQa3/OwbB/LcssK+ARBEMolgg1BEASh3aQjO3Hak5B9LH4hd2Su8rb1hGGIZXtEho4ncO02e460V2AVjnsOjuPheT6xGGjxGhKTLm9ZFQiCkHzRxbLcisr3+u2sxuW4IbHhk/GLWWIjp2K/uan8JwOiI88HoP7ZP+I27EXWTYyBI0iMv4xoNIZtu+RydsvvoigykYiGoclIioIkSQS+j+v5WJaP45T/usty6bUTiyqCcPoRwYYgCEIPIUmlfAldk1sqOoWULkpLF75dfyXX8hRK5V8fklr5WMtyiVQfuT0vyRVv5ZKPNPBr6zXTNIWIqWKYOr6Vx9qyhsAuIGk6Rv9haNX9MHAIQ62ixoTtVfpda8lvepnE+Nk0Lrmb0Cu/OV9y8nyKO9aTfunvLT/LbVhCw6K7iI+dQc2s91KVNMkVXKIRFd3Q8XKNpFcvxGs8QBi81dMlNXA4vutSsDws69hBhyxLmKaGaSgob3u/A8/DcgKKxfK20AmC0HOJYEMQBKGbk2WJaFTHNBQIobDtFbzMYQhD1HgN0eGTiEWj2I5HoeB2afO25gtErWYAfuZwRXNo1QNazVUOzwuwbRfD0ND7DsE5sKOic9D7ntXmOUQiOvG4gbVvKwdXPEr+1XcmcoN51nmkJi8gPup8NE0mm+2a/hWeF+DaDmqqH0o0QXzsJWVXpdL7DyUyZAwH7vvRUY+FrkX2lacpbl/HwA99j1QygXPoTfYvvZvC5hVHBXLplx9C7z+U1AXXkhg7A0WxyedbBz+SBPGYjmFqhJ5Ldu0zWLteJXCKyJqJMXA4iQlziNbGsS2HbM4ROSSC0MuJYEMQBKEbU1WZZMIgtPM0LnmU7Jpnj+pwLZtxEuNmkZx6FVWp6i7tveH7AZ7jkpwwB2tHZTkTiYlz8D234nPMZCxqaySSky7n8OP/XdEcySnzse3Wd9cjEY143KBx6T00Lrn7mGOtHeuxdqwnOnwyfW/4AsmEQaaLAo5cwaOq7xCcxv3Uzv0wzsEd2Hu3tGusEq+i37v+BfvAzuPm2CjRBLIeobBtDQfv+/FxV0+c/ds59ODPsfe+QZ/LP0IQQLFYOl6SJFJJAyX0qH/yf8muX0zoWK3G519bRuPivxIbPY2ayz5AdSpGU8YWqxyC0IuJPhuCIAjdlKLIpJIm7sHtvPmb22l64b6jAg2AwMqRXv4wb/737Vg7N5BKmqhq1328W45P7JxpKLGqssdKeoTEuFlYdsdWX4qWT/y8mURGnE9q2nVUz7yVqhk3kpgwBzmSOO5Yvf9QzIEjsKy3gh1NU4jHTRqf/9txA423K2xZxYF7f4Cuq0Sjeod+n2PxPJ9M1kZL9SX0HAbc+nUiZ0844TitzxkM/MD3kGSV/Xd/F4JjBXYSddfcjnNg+wkDjbfLrHiUxqX3EI8bKErp31oqaSC5Bfb8/ktkVj15VKDRLPQccusXs+e3/4qfrS+NKzN/RxCEnkMEG4IgCN1UMqHj1u9h313fJChmT3h86FgcuOf7WHs2k0wYXXZeluUSSlAz671lj62ecSOS0rFch+brUklWGHDTl6iadj3xMReTnHg5feZ/jCH/9N/UXf2PGANHHD1W1ekz7zZ8122V6BwxVexDu2hc/NeyzqW4bQ2ZlY8RMcpvUthejuORzligR5E0kwHv+SoDP/g94ufOeEfujETk7An0u/FLnPGxnxF6DnvvvAM/W3/MuSNnj0evHUj9M3eWnQ/S+Px9ePk0kYhGNKqjyLD/L9/CPfxmu8b72Xr2//mbSJ5NLNY1wZogCKee2EYlCILQDem6gqpp7H/kvwidYrvHhb7LoQf/g8Gf/hWGoWLbHevP0OZzhJDLOSTHX4aXa6Sxnf0uUhdeS9WF15LLWS3bZiRJQtMUZFlqaTrneQFBEBxVkhbe2lYmS5B7bRmZlU9g73mrSpMciZMYdxnJyfNIjJtF04sP0rDwj0CIpBn0veHzGAOH0ZR+6667LEvohsbhhY9V9HpkVj1JaupVXfZ6Q6lsbkNjEcNQiUZUjIEj6HvdKPq4n8IvpCEMUCIJZCOKfWA7h5/4b3Iblpywu3py8jzs/duw92wu/6QCj+zqp0hNv4EwCMitW1h2Do2XPkh6xSNUXXQjeQlRrUoQeiERbAiCIHRDpqFi7duKs29r2WO99EGKW18hMmRsl1382rZHLmdRfdG70GoG0vT833AO7mzzWK12EFXTricxfhb5vE2x6KKqR8qr6iqSXOqULb2jwlXge1h2gGU5+H6Iqpa2lTkHd3Dgnu/j5xqPeq6gmCP98kOkX36Y5PlXUDv3Q8hmDGvXRqqm34BaM5B0xm4VyJimRuja5DYsrei1cBv2UtixHnPAqC57vZvZtodte8hyKUjTNAXJSBEEICkyxTdWcuCe77drLtmIEh0+mcNP/m/F55N55SmqZ9wIikJm1ZMVzZF95RmqL74Rw+ja6l6CIJwaItgQBEHoZmRZwjB1Dq58vOI50qseZ8DwSShK11WnKhZLDeFiI6YQHz0N681NZNctwsvWQwhqvIr42EuJnDUW3/PIZi0syyWRMDBNHb+YBRQC1ya3YUlpbPpQ6S59rIrY6ItITppLtCZBseigazLOgW3s+9PXT3jHHkIyKx4lsPL0veYzJCfOwbEdmtLWUa+HoshYe18ndNvOMWgPa8d6qgaPJhLRKu6/UY4gCFsCj2aaopeqlLWTEqtCkhXcQ+3b9tQWP9tA4Hs4B3YcM9g84Ry5RgpvrMI4awJW5W+BIAjdlAg2BEEQupnmhFtr9+sVz9HcAE5R5C4thdt8wavrHpG6odRdMarV447tkMkUWy6KU0kDVYb8G6uIjZhM4wv3k37xAQK70Gqcn2vCObCDxqV3kxg3iz7zP0boe+y/+3vtCDTeklv/3JFyq3NJZ9oeJ0kQWvnyfvF3COwCkiQRi6jEojqW7VEonNxeEiESitn+TuOSVsqTCL0OVtIKgnbnaRyLW78HY+iEjp2HIAjdkkgQFwRB6GaaE6DLydV4p8AujZVP0qd8KYnZ5tChLPX1Oerrcxw6lCWdsVsCjUTCQFUgu+YZYiMmc+ixX9P43F1HBRqt+B7ZtQsJijly658jKGTKPrfMikeRVRXDOPb9NUmPlD1vq/GaSWDl2fkf/0DDoj+h+XmqUl1bFeydPB8iZ09EUrR2Hd/cRV02Yx17Ykk6qhdJuULfRRSkEoTeSQQbgiAI3UzzFhxJNyueQz4yNui6RY1jCoLwqDv6iiJjmjr1T/+OxITZNL30INlXnm7XfNERU1BiqYpzAtyGfRS2rztmxSjfDzH6DwW58opSxoCz8dKHCIpZ0i89yJv/88+4B3eSShgoysm5ii4WHZRIjNiY6e063ss24BcyRM6eWPFzmkPORZIVlBOUGz4ROZIQvTYEoZcSwYYgCEI307ztyRw0suI5jCNjg1MRbbQhEtHwco3ImokkyTS9+Pd2jzUHjcRt3F9xTgBA/vWXUPW27/hblosSTRIbObWiuZV4NbGRU8muXdjys6CQYf9fvomXPkgifnLKugZBiG05JKdeBVI7vt4Dj+yaZ0mMn4WkVnaOySkLCMOQyNkTkLQKyy1LMtGRU/ECsbQhCL2RCDYEQRC6mSAIcWyH5JQFFc+RnDwf13HaLB97skkSGLpCZtUTJCddTu61ZWVth5LNGH4F26feLihkkCSpza06vh+UXu/zr6ho7sSEOYS+S3b94tbPaeU5/Niv0XQdTeu6PhxvV7Q8jH5DqZ39gXYdn3nlaWQzRnzsJWU/l5KoJTZqKoWii6QZpb4fFYgOm4iWrBWVqAShlxLBhiAIQjdUtHzMQSPR+51V9lgl2Yfo8Mkd7tLdEZqmoOulPAnT1JAVBXvvG2g1A8htWFLWXG2VxS1X8/hjVYkqWj6RIWOIj5tV1rxa3RCqLria7Lrn2syxsXZtxKnfg2menHosruuTy9mkLria2nkfO+HWMC99COfQm9Re/pGy/q1JmkG/G79IEIRYlotju6Tau6LyDsmpV+Ha3SMwFgSh84lgQxAEoRtyHA/fdam76h+RtDJyN2SVvld/hjAITvqdYkWRiMUMaqsjVFVFSaUiJJMR4nGTMPBJTi6tHHiZY3e0botfSKMm60Cu/IJdre5P4PvHfNxxPIpFh7orP9nuO/R63zMZ8J6v4jbup2Hhn455XGbl46V+Iidpl5BluWSzFsnJlzPkM7+h6uIbUeLVrY6Ro0lS065n8Kf/H3rdYEJkBrzvWxhnnHPC+eVIggHv/QZ637PIZG3CEApFF612EH3mf6ysc62acSPRoeMoWMd+bwRB6NlE6VtBEIRuKp11qKobQv9b7uDAPd8/ftUmQFJ1+l7/z5hDxpDOnNyGBbGYQTSq4xfzZJY/RXb94iM9H0LUeDWxcy8mOfFyAGpm3sqBB34Cfvsa4OVfe4maS24hNmoq+deWlX9ykkxi4lxs5/gXtLmcDRj0ve6zRIZNJLPycey9bxx1nJqsIzFpLqkpV+A27DlSjvfYr7e9ZzOSLCPLXVuG+O0sy8V1fSKRGFUX30j1jBtx04cJ7QKSEUFL9gFJwrJ9ck0FfD8gmTAY+IHvUNi6msyKxyhuWwu8tRSk1Q4qdWYfP5tQVklnrJbVCM8LyOZskpMuR1JUDj3+m+O/v5JMzcxbqZp+PbmcjeN0bTNEQRBOHSkMu7r1UGXq63OiMsVJUleX4NCh7Kk+DaFM4n3rmcp931RVIZXQ8QtpMi8/THbdIgIr1+oYSTeJj72U1AVXo6b6ks3ZOCe4sO5MiYSBoas0PPsHMqueOHYZVFkhcd6l9Jn/MYq7X2f/3d9td8Ax4H3fhBD23fX1ss8vMnwSA26+g8bGfLu26pimRsRUUDUN+8AOiltfKfXR0Az0fmcRHTaR0LHIrl1Iw+K/nrAZoFY7iMGf+E8aGwt43sm/gy9JYBgaiiKXeoqEpTwV2z66+aBpapiGjKbreLkmvPRBQt9DiabQ+wzC9zws28ey3Da/ow1DJRE3COw8mdVPkV39NF7mUMvjSixFYsIckpPno8SrWzrKdyXxWdkznW7vW11dxyq6dWci2BBOuz/o3kK8bz1TJe+bokhEozqGrhIGPoXNK4506Q5R4lXERl2ApGrYtkeh0HUdw9sSixlETJUD9/+YwqaX2zXGHDKG/u/5KvnXXuTQQ//ZvucZPZ1+N3yefX/9LsWtq9t9fpKqM+AD30WpPYOmdHnN63RdIRrRUJVST4rAtfGz9WTXPUdu49J2Nxc0Bg5n0Id/QENDHkWRkWWp5aLf8/xumaugqjKGoSHLpb1fYRjiun6rjuXHoigSpqljGgqSJOFlGwicIrJuoiZqALBsn2Lx5PxbFZ+VPdPp9r715mBDbKM6wjBUVFVBliXCsFQj3ra9k/qlLQiC0BbfD8lmbXKSg2lq6MOmYDY3/guh6IRYmcJJv0EjyxKRiEbDoj+1O9AAsHa9yuHHfkPfaz5DevnDOPu3n3BM/vWXyG9eTr93fYF9f/4W9psn7q4uqTp9b/gCet8zK9pW5jg+YQhVVVH23/uDlq7s5YqOOJ8wDKlKGciKSuh7hJ6LpJtIkoTrOEdWC7rPViLPC/Aq7Czu+yH5vE0+f+S7VUsg6Un8MMTKu22uqAiC0Hud1sFG8xelZihoisr+7CGyhRyaolEXq6EmFsOyXRzba9fdHEEQhK4UhiHFokOx8sbinco0NULXJrPyibLH5jYsoebSW0hOmsfhx3594gFhQG79EqLDJzPwvd+g4bk/k13zzDHzWMwhY6iZ/UGM/kNJZ+yKVw9c18dzXZKT53OogmAjNfVqqi56F4FdIPvKM2ReeQqvcX/pQUkmcvYEklMWEB82kajpkc46Hb7JJUkSqiofuXlWKqV8KrZvAdi2h11ZzCIIQi9x2gYbmqYQTxi4gctTWxbz1Nal7MseaHlckRWmDhrP/BGzGF03HMtyyGbFJ6YgCEIz01DIvvLUCXMW2hQGZF55mqqL3kXDs384YfK73n8odVd9isK2Nfjpw9TMupXqS28ht2EJhS2rCawckqq3JDHrtYPwHJemtNXhbUqW7RMfPZ36p39XVn+Q6ktupnrGTTQte4DGpfcQek7rA8KA4tbVFLeuRq3uT793f5Gq2oE0pe2KAg5VVYiYpXLDkty62KTvulhOQLHo0k13TwuC0Et1ebDxgx/8gMbGRv793/+9q5+q3VRVIZk0ee3wFn70/K8puEffJvQDnxd3r+bF3auZPHAcn5v+DySSJtmTXOFFEAShO1JVGUVVy+6Z8Xa59UuomXkr5lnnHWcblkTsnAupu+rTOId3c/D+nxK6Fo1L7yExYTbJiXNJTpzbcnQYhti2S1NTAdftnLv5luUSjWj0vfazpaT24MTzxsdeSvWMm6hf+EfS7eiW7jXuZ+8f7mDg+75NqnYQjWm73UGBJEEyYaAbOm7TARqef4z8puX4xQySoqJVDyAxYQ7x8y4hGomSyzuigZ4gCCdNl/bZePHFF3nggQe68inKJkkSiaTB64e38t3Fv2gz0HinVXvX8f0lv0TTZGIx/SScpSAIQvcmHWka4eUaK56jeWzfqz9DzWXvR6sdhKTqoKgoyT6kLryWwZ/+Jf3e9QWKO9ez765vtqyi+Pkmml64j13/9Ul2/OzD5DYsJQwC6utzZLN2pwUaUMqLyWRtIkPPo98Nny+d4/FIMjWzbiW38YV2BRotz2MX2H/3t5EIiES0do2RJEglTZTQZf8932f3Lz9NevkjpSpSjkVQzGHvfYPDj/0/dv3HP5BZ8SiJhEk0Kr7LBEE4ObpsZaOpqYmf/exnfOITn+D110+cyHeyRCIafujz4xd+gxe0Pw9j48FN/G3jo9x47lUUCo5IbhMEQegkshEhdcHVVE27rtXPA88h/+oLHHzgZ232uygJSU66nPjYGWSzVpd9NruujyTJRIZP4YzbfkZ6+aPk1j931PYvJdmH2tkfQE32oemlH5T9PH6uidz654iNu4zC8XeWAaUVDdm32Xvnl3Hr9xz32MDKU//M7/HyTdRe9v6W7t+CIAhdqcuCja997Wt87nOfY9++fRWNr62Nd/IZlfiBz8JtL5Bz8mWPfWbr87z73Cvp06f3lSfrzSXXejPxvvVMvel9UxM1+JnDFY59q6u1JCtHPZ5/dRmNS/+G13TgqMcAtJqBVF30bhLjLgUgkTBJJMrotl4BWVGQqvpSe/mHqZn9fopbVuPn0yDLqKm+RIaeB0GIvW8rzv5tFT1HZtWTJCfNo66ufasbe+78xgkDjbdLv/h39NpBxM+7tMtfr+6iN/3NnU7E+9Y7dEmw8be//Y0BAwYwbdo07r///orm6Io+G7qukkpFeGprZXuMM3aWF3ev4oKBE0k39Z7cjdOtlnVvId63nqk3vW811SbxsZdg79lc0fj4eTMJfJ+GxkKbzeViYy4mMW4mha1ryG1YjJdrREJCSVQTH3cZ0bPG4nsemUzxpFQMfPt7J0lHqhkOnUTzhqRQkgj8AFmWyW1cWvHzOAd34jTsxzNryOePXZgklTTwD2ypqCRv07L7SYy/7KS9dqdSb/qbO52cbu9bbw6suiTYeOyxxzh06BDXXnst6XSaQqHA9773Pb785S93xdO1m6rKNBUz7Gxq/x2gd1q9dwMzzpwK9J5gQxAEoRKWHZAYfxkNi/5E6JT5mSgrJCfPxz7Sy+KouS0Xy3IxDJXIGWPoO2xCq8cd2zmlF8phGFIovFVdStMUkgkD58AOzIHD8MuoWtUWP9+EHK095uOKIqMbOgdWPFbR/G7DPgrb1xEZeE6vDzYEQTi1uiTY+N3vftfy/++//36WL19+ygMNKN2Jyrvt2AR7HHmnNF6WJdHhXBCE05pluUSjUVLnX0nTC/eVNTYxbiZqvIpMw/G3tNpH+hxJkt2SlB6GYbfKm1MUmWTCwNq5gQP3/pCh/3oXSB2rvyLJynF/R11XCFyb/OblFT9Hbv1z9B06Dkmyu9XrKQhC79Kl1ai6nxBdad8e2GNpHi/qlAuCcLoLgpBi0aX60vcQGz293eMiZ42jz/zbKBbb38CuuTldEHSvQAMgFtXwGvdz4L4fEroWfjGHlqrrwIwSaqruuN8zkiThF3PtKsN7LF62oWUuQRCErtLlwcYNN9zQbXpsBEFIlZkiolaeEDco2R8/CLrdl50gCMKpkD/Ss6Hv9f9M1fTrkTTj2AcrKolJ8+h/y1dw3IBcruc3SpVlCcPUaVp2X8tWssLml4mPm1nx6kZk6DjUeBW23bWVoiREkCEIQtc7rTqI27ZHNKZzyVkX8OSWxWWPlySJucMuwRH7WwVBEFrkcqUGdNUz30vV9HeRXbuQ7Prn8I5UqVJiVcTPnUFy0lyUSIJi0ekVgQZAJKLjW3nyry5r+Vl61ZMkxs8mOmwihS2ryp4zOWUBruMct/N5GIYokQTIKpRRxv3tlCPVwMRKvSAIXem0CjaCIMSxPRaMmFVRsDGh/7n0iVXT2Fh+2VxBEITeLJ93KBZdTFMjPmkeqalXtno88D0sO8BqyOH7vefiVlcht3Yxof/WKoSzbyvW3jeouvjdFLavBb/9wYAxcATR4ZPJ5Z3jHuc4PvG4SWzUVPKvLTvusccSHzcL1xZ9owRB6FqnWc4GWJbHwGQ/5g6bUdY4UzV437jrsR33uHebBEEQTldBUKrQ1NBYpLGxQDpdIJ0u0tRUoL6hSD5v96pAA0BWZLz0oaN+Xv/k/6H3PZO+19xeWn1oB63PYPrfcgeu652w2Z7vBzi2Q3LKgorOW6sZSPSs8yjanddpXRAEoS2nXbDhuj6Fgs1HJ9/CRUOmtGtMRDX54oxPMSDRj3zu+HebuoIklWrOx+MGyWSpaVUsZqCqp93bJwhCD+F5Po7j4zgertubL2glCI++AWXvfYODf/8ZsZHnM+A9X0Hvd9axp1BU4mMvYdCHvk+gmGSy7dtiVrR8IkPGYA4eXfZZV130LgLPE2VvBUHocqfVNqpm+byDJEncPu2jjOxzNo9vXsT+3NF3phRJZsqg8dw89mr6x/uSy9rtrpzSGRRFIhLR0Q0FCYkdTW+SsbPois7AZD+qq5PYjottiS8MQRCEUyEMAuRoss3HCptXsO/P36Tvtbdzxj/8BOvN18msfhr38G4Cz0Ex40SGTSQ58XKUaALLssllrXZva3IcD8d26Hfjl9h755fb3UW8avr1JMbNJJsttvfXFARBqJgUdtPMsK7oIP5OkYiOGVFQFZX1+19n+Z41ZO08mqIyINGX2WdfTMpMYNkOhbx7UgMNXVeIJ0yydo4ntyxm4bYXaLTSLY9LksSkAWOZP3wm4weMwbIcsu28G/ZOp1uXzt5CvG89k3jfKiPLErJcqp7UXAL3ZGvrvUskDBSrkd2//DRwjHOSZKIjppCcPI/o2RNaPRRYBSQjQqHgtGoS2F6SBKmkiRy4HHr4FxQ2rzjmechmnOpLbiJ1/pXk83ZFz9cTib+5nul0e996cwfx0zrYaGYYKrqpomsK8pFShZ7v4ToBxeLJDTKgFGgkkxGWv7mG/3z5d7j+8ffuThxwLv88/TZCXyKbKb+z+en2B91biPetZxLvW/tJkoRpakQMGUVr3SPJdZxSwvkJchs6U1vvnarKVFfH2PeXb1PctuaEcyixFEqsCkkzCKw88fGzSE29hvqGyhvOShIk4gaGqeOmD5FZ+Tj5TS8TFLNIiopa3Z/khDnEzp2BJCvkjpQrPl2Iv7me6XR733pzsHFabqN6p+YOtd2BLEvEEwYr9qzlpy/+T7tKEr6ybyPfX/JffHXm7cRiBvl815aUbL7DWGqyJXqOCILQ+WIxnYipEQY++Y1Lyb36An6+CSQZNdWHxLjLiA+fTCyqkS+4p+zi2fMCXMchdeG1FLet5ZirG0f4+TR+vrRKLZsxkhPmYHUwSTsMIZO1UYsuppmiZtb7qJ39gdbP67oUrADLsk/4vdIdVpEEQeg9RLDRzUQiOpZn84uXfldW7fNXD73Bfa8+zrvGLKBQoNMDAEWRMM1S/oiqKC0/D8MQ23axrN6eBCoIwslSukuv0bj0bjIrHiewcq0ed/Zvo7BpOUqyD9UzbiQ5YQ6yLJ2ybUGFokfyrPOouex9NCz8Y7vGSKpOvxu/hKRFKKbLX5Fui+eVGiXm8zaqqhzpDF4KFk5URbG5EIlpKKjvWEXyHBfL8bEsV9xcEgShbCLY6GZ0Q+bRzUux/fK/NJ/eupR3jVmAYWiddpdPkiAWN4iYOlk7z0ObnmX9gdcpuEV0RWNI6gzmj5jJ4KoBOK5LPnf8RlSCIAjHE4vpGIbKwft+TH7TS8c91s8c5vCj/w+v6SA1M28lCMJTssLhOD75vE3VtOuQjSj1z97Z0k28LUqiln7v/hf0fmeTzlidvnIQhpR18yca1YlGNAgDcq8tI7dhCX6u8ci51pA4byaxcy4kGtEoFF2KxdNnC5YgCB0ngo1uxDBUFFnh6a3PVzQ+bWV4+c1XmDxgfKd84UqSRCJl4Icev3jpd7y4ezXeOzrVbjq8jae3LmFUn7P58MSbObNqENmMLVY5BEEom6LIRKMGh5/83xMGGm/X9MJ9qMk+xMfPxrZPzd33YtElCEISE+YQH3sJ2XWLyKx6Evfw7iNHSJhnjSU1eQHRkecTBAHpjHXKb87E4zqRiEHTsgdoevkhgkKm9QEHdlDcsholVkXVtOtIXXA1siyRP0HTQUEQhGYi2OhGVFXhYL6eg/nDFc+xdv+rTB8yBej4snwiaWD5Fl9f+BP2Zg8c99hNh7fx9YU/4V8v/gSj60aSSVsnPbFeEISeLRLR8HJNZFY9WfbYxqX3kJgwp1NXdstl26XtpKapEZ8wl9SUBYSBT+i5SJqBJEm4jkMu75yyoOjtotFSoHHwoV+QW//ccY/1803UP/N7nIZ91C24jSCAYvHUBhxSKa3klL+OgiAcn+gK141IEuSdyiuSAOSdYstcHRGJaKiqzHcX/+cJA41mtu/woxd+w4H8IaIx7cQDBEEQjpAkMHSFzKon2mySdyJ+rpH8ppeJGMqJD+5Cb++ink4XyOVdCg7kcjaNjXma0na3yH2QZYloVKdh8V9OGGi8XXb1kzQte4BYVDuSE3JyaZpCMmHQpzZGnz6JI/+LkUwY6Pqpfe8FQWibWNnoRsIQdKVjF+mGqrfM1RG6ofDi7tXsaHqzrHGWZ3P/q4/zmQs/TEFx8H1xy0kQhBPTNBVZUciuXVjxHNm1C4mPnoai2N3is8dxfKB7bimNRDRCxyL90kNlj21adj/J868kEtFOWlK+rivEohqqpmEf3EXDuoV42QYIQ5R4NYlxs0j1H4rvuuQKHo7TPSpMCoIggo1uJQhC6mK1GKqB7VVWvnZwaiCe37EPWU1T0DWNJ7c8V9H4l3av5iOTbsY09S4vwysIwsml66UqR5IkEYYhrut3SoKzLEuEQYCfra94Di99EKClCpNwbKaukF31FKFXfrAQ2AVyGxYTGzuTQscW49vFNDXicYPi1lc48Py92Hs2HXVMZsWjGAOGUXXRu0mNmkouZ4lEdkHoJsQ2qm7Etl10RWPGmedXNF6VVWaffTGO3bFcCcNQ2Z87xKbD2yoa7wYei3e8hKqf/CV2QRA6nyxLxGI6NdURUqkoyWSEeEwnmYxQWxsnmTTQ9U64d1XB9qlWgtIqwqnY3tOTaJqCrKpk1y2qeI7s2oUoWmm7bVcyDJVEwiSz4lH23/29NgONZva+rRy49wc0vnAf8biJYZT/b1KWJRRFEv+GBKETiZWNbiQISj0rFoyYxTMVVKS64IyJJIwYDQ25Ex98HLIscaDpUIfmOJivR5FFLKtpCpqmtHxxBUGI43gieV7oMSIRjVjMIHQssqueIrPmGdyGfRD4SEaU2IjzSZ5/BamBw3Edh0zWqWilIwxDJEVFMqKEdmW3y+VoEkA0oTuB5oZ9btPBiufw0odazdUVJAniMZ3shqXUP/27do9rfO7PKNEkifGzj2xlOz5VlY/0GFGR3va95Xsell3qLyL+TQlC5USw0c1YlsfgqoHMHXYJT29d0u5xSSPBreOuxbI7J0/CCzu2z9gPfCRO3ztDpqmhmwqGppGzC6TtLLIkU2UmicdjWLaDbfliX7HQrcViOtGoQeML99P0wr2EbuttkeGR7TS5DYsxBg6n37v+lapkkqaMXfbFmev6hGFIfPQ0smuereh846MvwvdEMN9uQeWf82HL2K77nDcMDUmChmfvLHtsw6I/ET9vJqZ57DxIRZFJxDU0XcdNH6LhxSdwDu4kdB1kM0pk6HgS42YRjcawLYdsTpT7FYRKiGCjm3Fdn0LB4aOTb8byLJbuXH7CMSkjwR2XfoYqM0WmqeMlb8MQqsxkh+ZIGnH84PT7wpdliUTSQFUUlu9Zw5NbFrPx4OaWxxVZYeqgCSwYMZNz6oZj2Q65rH3KK9MIwjuZpkY0alD/9O9IL3/khMfbe7ew53dfZOCHvk8qUUVjmV2xgyDEsV2S519ZUbAhaQaJCbMp2t0zIftYJIlWK58nQ3jkA0eJpVpWKMqlxFKt5uoKEUMhv2l5S4PBcgTFHPmNS4mMmdHm46oqk0oYeE372ffM7yluXcM783wKm1fQsOhPJM67lJrLPkhVyiSdscTntSCUSQQb3VA+byNJ8JkLP8yYviN5bPNCdqf3HnWcoRpcPOR83n3uFST1BNl023cTZVlqWeoOQ0541891fc6uHkJdtIZDhYaKfoeLhkzBP806icuyRDJl0mA18b3Fv2Bf7ugtCn7g8+LuVby4exXn9TuHf7no4ySSJpkyL8wEoatFIyrZtQvbFWg083ON7P/Ltznjtp9jmuX3uyhaHlV9z8Q86zysHevLGpuYMAdJM7Cy+bLGnQqSVArmTF1B1d+68x6GpYCraHld2hjVdX3CICA2ejrplx6saI746IsIfB/P65rzVBQZVdfIrn6q4jkyrzxNYvxlbcwtkUoY2Pu2sP/u7x53217oWGRWPYn15mYGvPcbJBMG6YwofCII5RDBRjeVy9n4fsAlQy5g9tkXsenwNlbuWUvOyaMpGoMS/bn0rAsxVB3bdsmkraMCDdPU0A0FQ2+9jOz6Ho517H2oluUSiWrMGTaDv6wv/4todN0IBib709R0EsqUdCPxpEGTneYrz/yQtJ094fHrD7zONxb9jG9d9nnicZ2cWKIXugnDUFFUlaYX/172WLd+D4U3VmAOnYhVZgztuj6O7dDvhi+w9/dfKuWGtEPkrHHUzv4gxWJl+SInUyymEzFVCCH/+ovkN71MUMyBoqJV9yM5aR5VdYPxHJdcwe2SoCMMwbI9klMWkH754fIT82WFxKTLsR2/y+7yK0rpBplTX1759bdz6/e0+fNYVMfPHubAPd9rd36Qc2A7++/+HgM/8B1MMzhljSMFoScSwUY3Viy6FIsuuq5yZuIMho0dgiIrBGGIH/i4dkBDJn/Ul6thqERjOooss3rfBhZue4GD+cP4QUDCiHPhGROZNXQ6NdHYMTvAOrbP3GEzePD1pyi4xbLO++pRc3DcrvmS7K4MQ8XQNH648NftCjSabWvcxW9fuYdPnP8+CgWRhCh0D6ahUNyx4ZgXayeSWfkEA0ZdgKaVf4c+k7WpSpoM/ND3OXDvj7B2bTzO0RLxsZdQd9WncFyffL57B+yJhIGhqzS9cB+ZVU/g55taPV4EMisfxzjjHGpmvY/UGaPIZO0uye2yLJfq6jpioy4g//qLZY2NnzsDNZYi09CVq0hHVuMrKM3bLPSODghkWUI3NA49fS+BVd7523s2kd+8nMjZk0WwIQhlEMFGD+A47W9QFIloxOMmS3a8zN3rH2pzG9Rrh97gz+sfZPbZF/H+8TcQtJFbUSw6pKpM/vXiT/LdJb/A9dv3wfruc69kyqBxpNPlBSgnIkmg6yqyLCNJpe0Gnhd0m4BGNxRePfgGO8tsggiwdMfLvH/8DUQioi+J0D3ohs6hjUsrHl/csR6/mEPTtLL/RsMQmjIWyYTBwPd/C2vfVjIrHiP/2rKWC0/ZjJMYN5PklCvQqvtRLDrkct37byceNzA0hQP3/oDCGyuPe6z95uvsu+sb9L32n0ieM410Juz0zzrPC7Ath7qr/xG3aT/O/u3tGmcMGkmfKz6OVXS6NBG/ORdENhOllZ8KyGbsqJ9FIhqBUyT/6gsVzZlZ+Tjxcy5E006vG2qC0BEi2OhFDEMlHjd54NUnTrj9yfZsHtu8kJ1Ne7jj0n8knjDIZd/6sg6CkGzGYVSfYXx95uf4yQu/odFKH3M+TVZ5z7hruWrUHPL5zrsTpygykUhpO5gsyRRcC9d3iWgmcdXEcV2cI6UJT1XSnqLImIbOE288V9F4N/B4ZuvzXDnyMvLdf7u50Ms1Jyu/8657eUL8fBopWlfZ6BDSGRtd9zCrB9P3ms/ANZ8hcCyQJGTNIAwCbNsj11josryBzqJpCpGIzsGH/+uEgUaLwOPgg//JgHgN8f7DaUx3/u+YydpUpQwGvv87HHzgpxS2rDru8bFzLqTumtvxfMh2cXDneQFhEBAdPonMikcrmiM6fHKppPLbembomkRu7eKKV0ysnRtw04cwjJQINgShnUSw0YtEYxrP71xRVp7FxoOb+OXLd3L7tI9ivyMp0fN8MukiQ6sH86urv8vLb77Ck1sW89qhLS3H9I31Ye6wGcwZdjFRLUI2a3Xa8nIkohOPG6StLI+8uphntj1PY/GtgGdk7dnMG3Ep0wZPxoio5DI23ilISm9uarVy77qK51i5dy3Xjr4cRZEruluoqkpLI6rmVR9R/lPokI42NeuEPjuO4+M4PnLeQdfVI6cUEhSLOI7fpZWQOpNpqjiH95Art4le4NGw6E8M+uB3u+xOejpjk4gb9L/5yziHdpNe+Ri5DUsInVLCjWRESZx3KckpV6DXDsSyHLLZrl9FCsMQ2/ZInX8lmRWPUUlH+OT5V+LYLoapt/xMlpV25wIdi9uwD3lAVYfmEITTiQg2egnDUFEVlXs2PFz22Bd2reTGc6+i2qw+6svM8wLSjUVMU2PKgPFMHzIFL/CwXBtN0TBUHc/3cOyAhuzR+SOVaq7vf+/GR7lv42P4bSQwbq7fxub6bfxxzX184aJPMKzmTDLp4kkPOGRZwvYcvKDy1ZysXVrSKLdrbfOqj66VigC8/S6e7bjYlodti14eQvuFYUgYhqjJPpVPIisosRSu99bnwVsV8cKyVyGDIOyxe+RlWcIwVOqfq+zuvP3m69iHdmEm+ndZsngma6NZHmaiH33m30bdgo8THOmp0rKK5Hg0NRVO6t38ouVRXd2PyLCJFLeuLmusOXgMRt8hNDUVWgUbkiRBBz6roZQLIhqMC0L7iWCjlzBMlXX7X2N/rrKa6Y+/sYgPT7qJQv7oai5h+Fayuqa5KIqMLKu4boDlFzs9edEwVKJRgztfuZdHN7eut6/KKn2i1US1CG7g0WRlaLIyfPO5n/GVS/+JETVnkW46ujJXVwpDUGWlQ3NoSnPFsPadt64rBGFAJKrx0u7VPLllCdsad+L4LqZqcG7fkcwfPpPxA8bgeh657KlZ9RF6Jsd2SYyfQ2bl4xWNj404H8WI4tvFUlK0obUKpD3XbenM3EMWJyqm6yoEAdn17W/S+k7Z1U9Re/lHu3RFwXV93CNJ9pqmtASHQbGI6/qnpHiF55Wqk/W95p/Y87sv4jUdaNc4JVFD3xv+GddxjgqOgsBHjnSsj5QSS/X6f7eC0JlEsNELSJKEoWss2r6s4jmW7HyZD0+6CV1Xj3sHsfkLqSuZUZVlu1a2CjRK27UuZtbZF5E04q2OX7v/VZ7asoQfP/8bfnHlt4hEtJNalSYIQhRZoS5Wy6F8fUVzDEz0bZnrRAxDJZEwWbl3Hf+94q6jql9Zns2qvetZtXc9/eJ1fG7aP3Bm1SAyaUsEHEK7WLZHqv9ZGAOHY+/dcuIB71B10Q0EnkcyGcE5/Cb1i5/EbdhL6HsokTjRkVOJj7mIWFSnaLndvopUR8iyhF/IEDqVF81wG/cjSaV+SV190R8EYbdaDc1kHapSJgM/+F32/+XbOAd3Hvd4rXYQ/d/zNSQj3mY/DM8LiY2eRtPzf6vofJRELUb/s8n14n+zgtDZRLDRCzTfgTpY4YUuQNG1KLo2ktTxfdYdoesKuqrx8KZnSv+taHz8/Pdx0ZApFJwii7YvY/W+DaV+I7LGoGR/Zg+7mH+5+BMczjewZv+rTB00/qQmWjuOh+f7zDn74or6kgDMGTYD2zlx6VtVVYjHDZbseJlfrfjDCfesH8gd4usLf8Idl36G4adg1UfomRzHx3NdqmfczP67v0c5++VT025A7zcUe+8bNCz8I9bu1446Jv/6S9Q/83uSky6nesZNKLJE5iTkAZwKkgSh3/FtO6erMAxpStukknEGffTHFN5YSWbl4xR3rOft/y7NIeeSnLKA2KipeF5AU6btJrfNjSONgSOw975R9vkkJ809kk9y+r4nglAuEWz0IkG5jZnaGC+f4mDDMFS2N+5ia8NOIqrJHTP/iSHJAfzPyj+zZOfyo0rwbmnYweIdL3Fm1Rm8f/y7mHrGeFRZxTDUk3p3zrF95gybwd82Plp27saARD/O63cOmcyJ73xGoio7mt7k1yv+2O7kWNt3+MHz/4+fL/gG0ajR7UuECt1DvuCSHDaR2ss/Qv1Tv6U9AUfs3BnUzLyF/OblHPz7z+A4F9lBIUPT8/di73mD/jd/mUTc6PIKR6dCEJRK9XaEEkkA9JiE+M5WCjisUtf1oRMYMGoqXj6Nn2sEQIlVocarSo0Q8+4JV+c91yV14TUcvP8nZZ2HpJskJ83r0maGgtAbndorS6FTNH8BVZmV70NVZIWoZp7yu96qprBs1yoUSebzF93GoEQ/vr7oZzy77YXj9vrY2fQm31/yC17a/QpBEGAYJzeOtiyHhBHj2nMuL2ucJEm8b/z1eP6JE7mbS+w++PpTbSbMH0/eKfDUlsXohiISG4V2cRyfXM4mOWUBfW/4PGqq77EPlhVi515M3VWfxt679YSBxtsVt6/l4IP/gRnR0fWO5T51R57no5hRzMFjKp4jOuoCPLf357eciGW5NKVtGhsLOJJJkBxIkByII0doairQmG5fNcRC0SM+ejqpqVe1/8llhX43/AuSEaNQEFuoBKEcYmWjFwiCEMd1mTZ4Mqv2rq9ojqmDxqPICq5rdfLZlUdVFLJOnmlDJjOu/2i+uehnbG/c1a6xfhjwy+V30idaw7CaM7v4TN/x3H5IPm9z83lXk7GzPL31xA3RJEniY5Pfw5SB49q1qmGaGhkrx/I9ayo6x2e2Pc+7xlyBYWg9trKPcHJZVmlrX2LkVGLnXEhh62qyq5/CbdhH6DnIkQSxkeeTmDQPNZYCoOG5u9odaDTLv7YMe/8NmFWDcJze1bug+U56csp8rN2vlj1ejiaJj55Ovij+Zpt5nt+h3iq27VEo2NTO/TCSEaHp+fvgODdwZDNO3xu+QOTMc0lnxFZUQSiXCDZ6Ccf2mT5kCneuuZesXX631fkjZmHZXdsRtj3CMESRZC4ffinr9r/GxoObyxrvBz5/2/gIX515O6qqnNRmX4WCgyTBx6bcyllVZ/DwpmeOWR1sRO1Qbjr3Ks7rP5ps1mrXBZaiwZIdK/GDyn6nxmKaVw+9wYiqs0WwIbSb43jUN3ilLSxDzqP/8MmtHg98H9vx8W0XKX8Ya+eGip4ns/Ix+lz5KeQ2KuL1dJbtEzvnQtRkHV6mvIqBqcnzQUL8zXayfN4hCKDmkltITpxHZtXjZNc826qZpd5vKMnJ84mPvQRkmXTGEo38BKECItjoJSzLJRLVuWLELO4us9fGsJozGV03nHS68mopncXzfUbUDuWcPsP40fO/rmiODQc2cSB3mGQkSS57cr8Y8nkH3w+ZNXQ6c4dfwtr9r7Fs1wrSVhZZkukTq2H22RdxZtUZOK5LJl1s95eXLMmkrUyHzq/RShNW0BxLECzLxbJAURwkSS4lPh9pIAnQpzZGw+onK54/t/F5auf9A4ahUuxld/EtyyViKPS7+cvs/cMdhHahXeMiwyZRdfGNFE+DEsGnQrHo4DgekUiMqhk3U33JLfjFbGnVTo+gROL4rkvRCSgWrdM2Z0YQOkoEG71EGIJVdLlhzAJ2Nu3hpTfb1wCpLlrDF2d8CttxO71fRiU8N2Da4Mlk7FzFW8JCQp7d9jw3j70GOPkJp6WLMhfDUDmnZhjj+49+69zCEMt2K2qOVQoSOpZwISF1eA7h9Ob7IdD6364kSUiyjNvYvj4IbQk9Bz+fRtarOnaC3VAYQjrrUFU7kIEf+C4H7v7eCVc44mMvLeXAOF6vLg18qvl+QC5nk5fAMDRk2UTSTAIf/HSh123rE4RTQQQbvYQklbp9u67PZ6d/lMXbz+Wv6x+i0Uofc8yoPmfzhYs+TlyP0dhw6lc1oNQ8sCYSY1/2YIeqax3K16PIp7b+gW03J33byLJEGHasmkwYhPSJVnfonOpiNSLUEDpdc9GBDpd47eD47sz3g1IJ1+oBDP70L8m//hKZlU+0yuOQdJP42EtJnX8Fep8zKBYdUT3uJAlDsVVNELqKCDZ6OFWVMU0N3VBRZLnlAn3W2dO5dOiF7G7ay90bH2blnnVAqW/FBWdMZMGIyxheeya246LISrdZHvb9AM/3O7zVxw9Kr0Npq0dnnFnHdMYedN8LmT5kCr9/5W/Yfvl3OvvF6xjVZ1i7ktEFoRzNf2PNJVorJZvxbvNZ1BV8P6CxuYTr8FJjQ9/KE1h5JEVFiSZBVrArXP0UBEHojkSw0YPFEwYRU+dwvoH71j/Hkh0vk7ayhIQkjQQXn3k+C0bM4l8v/iR+4OOHAbqiAWDZDul0EcfxqKvTTu0v8g6u45MyO3bRkjxy0dKbrluaV32mD5lSUbf4y4fNaFeJXUEoh6JIJBMGgecSGzWV3IbFFc1jDByBGkuSa2pfPkNPFYalv+Vi0UXTXDRNRdKrSp9XRQ/bFtWOBEHoXUSw0UMlkgaqKvNfL/+epTuXH3U3MGNneWzzQh7fvIipZ0zgHy/4EBIymUwRz/OP7LvunhzHoyZVxbCaM9nasLOiOaYPnoLtdI8lcUWRkI7sMwnDsOLXPghCbMflutGXs2z3Kmyv/dsraiPVzB52MY59aquNCb2LLEukkgZ+5jCZdc9RfclNKIka/GxD2XMlpyzAc93T6m6+6/qn1e8rCMLpSTT164HicQNVU/jukl+wZMfLx912EBLy8puv8I1FPwUpRNeVbh1oQKmZmOO5zBt+aUXjByX7M6bvCBy7c77EJUkiEtGIxQzicYNYTD9h08DmMakqk5qaONXVMaqrY9TUxElVmUQiWkXN9Qp5l76xPnxh+m1oSvtWpBJGnDsu/QyqpIlmVEKnSsR1wkKGfX/8CukVjxC6DqkpV5Q9j5KoIT7mIqxO+psVBEEQug+xstHDKIpEJKLzPyv/UlYPiq0NO/l/y//A7dM+SrHotpSr7K4cK+DiIedz9/qHqS82ljX26lFzcL2ObxdSVYVIREU3VPwgoKHYhOM7RLUItclqXN/DtX2KRbfVtodoVCcS0QjCgBd2rWTJzpdpLJYS9WsiVVxy1gVMHzKZSFSnWHApFtsfAPh+QDZjM7bfOXxj1uf4zYq72JXec8zjR9eN4NNTP0i1mSKbsXv1fnjh5FJVGd3Q2ffAr/FzTQA0vfwg1TNuwt67hfyml9o1j6Sb9L/5DoIgFAm6giAIvZAUdtOrj/r6XK/ctypJUkvSciUvfSxmECgutz30JbygvItpSZL41VXfJSrFWlU4qatLcOhQtuxz6UqSBMmqCAfyB/nqsz+m4LYvqfny4ZfwD5PfQzZrVXThIkkSYRgSi+lEowb7s4d4/I1FLN7xUqtzGBDvy9zhM7js7IswFJ1c1sZxfGJxg2hE54FXn+CRTc+QdfJtPk/CiHP1qDlcN3oehYJddmlLVZVJpkwUWWHz4W08seU5tjXswvJsolqEMX1HsGDELAYl+2M7Lrms3Sv/nnqi7vj3Vol43EB10uz+r09CS0EHib7X3k5szHQOP/7fZNc8c9w5lEQt/W+5A632DJrS1ilvKnoiveW9O92I961nOt3et7q6juWqdmci2DgJFKW5YpSCqigtP/d8H8f2sSyn3VubqmuiPLzpaf6y/sGKzuW60fO4eew1NDbkW5Knu+sftKKULqgP5A/xg6W/OmY3bgBFVrjunMu5+bxrKBQc8vm3gqm3AryjE8YliZb3RtdK25Ka/yT+sOY+Ht387HHP0VANbr/wI0waeB6OXeqy/MuX72Txjvbd1Z01dBqfnPoB8nm77C1OdXUJ0ukihqlgGnqrx4IwxLFdLMsTe8K7me7691YOSYLamhgNi/5E+qV3fBZJMn3m/QPJyfNwDr9JZtUTZNcvbtXIzhw8muTk+cRGTyMIQtIZu9sHGtA73rvTkXjfeqbT7X3rzcGG2EbVhSRJIp7QMQ2drJ3n4U0L2Vy/HcuziagGo/oMY86wi6mpiVO0HPI557irHapaClaW7V5Z8Tm9sGslt467Dk1Tun2zIt8PyKQt6pJ9+I8rvsmafRt5YstzrNn/asvrVBupZs6wi5k77BKSZrzlol3TFAxTxTBUZOmt1CTHdY8EeC7RqIFhqoSELNu1kvUHXmdE7VlcPvxSfrPiLp7d9vwJz9H2bH70wq/5/PTbmDJwHI9tXtTuQANg0fYX6ROt5V3nXoFluWUH2I7j4TgeedlBlmVkuZRI7vuh2DIldBlZlpFkGWvXq0c/GAYcfuK/yW18nuTkedTO+RC1sz+IX0gTei5yJI4SSeAc3gOSTKHYMwINQRAEoTIi2OgisiyRSJnk3Ty/efFPvPzmK0dte1q5dx33bHiY6UOm8IEJ7yKZMshmjr3dpblHXZNVeaTfZGUAWqojdXe+H5BuLGIYKmP6jGLiwLEEQUDRs9EUFV3R8Hwf1/FpaMgf2X5lYmgaezMHePq1pezLHsANPBJ6nPMHjePCwZOIRDXCMOSeDQ/zzLbnydo5JEni5rFXs2THy+0KNJqFYch/vPRbfnnltzFV/cQD3uHhTU9zzTlzMc3KE7iDICQIunfwKPQezZ8fgXPs7Y3W7lexdr+KEqsids4FKLEqJEXDt/LYe9/A2rmBs/7lrooKJQiCIAg9hwg2uoAkSSSSBg3FRr6x6Kc0FJuOeawbeCze8RKvHdrC12d9jmQyQTZtHbc/hNyBHtBvv8vfkzR341ZVB1VVkCQZBx8reCsRXNcV4gmTbY07uWvtA7x66I2j5nn5zdUkzQTDa87iu4t/web6bS2PTRpwHn1iNTz6wsKyz8/1XZ7csoRrR1/OnWvupeha7R5reTbPbX+Ry4ZeRKF3txgQeonmVTNZM054rJ9vIrPqyTYekZBUndAWFdIEQRB6s5555dnNxWI6bujy7cX/cdxA4+0O5g/zncX/SUhANNr23fHmFY8+sZqKz61PpLrVXCeDpikYhlrKjdBVZLnyYMnzAiyrVMGpWHRbAg1VlYknTFbtXcc3Fv60zUADYObQ6ZxbN5IfPf/rVoEGlJLL36jfzvbGXRWd27PbnkeVVS4584Kyxy7avgxNVVFV5cQHC8IpFgQBYRhgDBxe8Rx6/7OQZFlsoRIEQejlRLDRySQJNF3h8TcWcShfX9bYfdkDPL1tKbrR9gWn5wW4nselZ11Y8fnNHHohnt/1ScOyLBGN6lRVR6iqipJMRkgkTFKpCDU1MRJJA13vvAvraFxne+Mu/uPF/8M9TpWueSMuZdXedWw4uOmox4ZVD2HlnnUVn0OTlWFrww6G1ZxZ9thDhVITtI4EYoJwsoRhabUxOXlBxXMkJ83HP82a+AmCIJyOxDaqTmYYGrIk8czW9u/5f7untyzh6lFzMAy1zT4Rju1z6VkXctfaByh67d+qA6DJKnOGzejyLtKmqRGLG7i+y8LtL/DMtqXszRzAC3xiepTJA89jwYhZnF0zpFPKsmqagqFp3LXu78cNNEbWns1ZVWfwpzX3t/l4VI+Sdzu2jynnFIhpkbLHBaG4uyv0LJblUVU3GOOMc7DffL2ssbIRJX7eJRRFR3tBEIReT6xsdDJNl1mz/9V2b596p/25Q7x68A30Y3SotiwXTdG4+pw5Zc89b8SlxPQoltU1e6Q1TaGqKkIkphEeuXiePPA8Zg2dTl2slpCQnJNn8Y6X+NLT3+crz/yIvJcnkTI7dEffMFX2Zw+ysY3Vire76MwpHMwdZv2Bti+MPN9FlTsWf2uyetyA51hSRqnknaggJfQUruvjOS59rvg4kl5OgC3RZ8EnkGSVYlE08RMEQejtxMpGJ5Mk2Jc72KE59mUPcHZV21txgiCkWHB497lXcihfz6LtL7ZrzgvPmMT7xt9AodD+nh7tpesqkaiKfqQC1Au7VpCxc8iSTF2shhlnXsAVIy9j/YHX+eu6h5AkiZgewQt8fvHy7/j01A+STCZIN5W3UtPMMFQaMk18cur7CYKAjJ1jxZ61bGnY0eq4ajPF3uwBQtr+/ZusDAMT/So6BwAJif6JvqyqYCvW9CFT8AMfz+v9W0oMQ0U3FDRNRZFlwjA8UlEsKKvnjHDqZXIOVTWD6H/LVzhwz/cJrNzxB0gyfRbcRmzMdDIZSwTXgiAIpwERbHQ2CTy//Dvbb3eiO+OFgoMkwSenfoD+8b48vOkZcsfoVB3RTK4YMYubxl6NZbmtmt11hkhEJx43WL13PQ++/jSvtZGY/ed1D3LlyNlcc85cvjX78yhy61yN/dmDqIqCaWrt7vpdasano5sKsiRTG61BkUv/v0+0huvHzGdbwy6e3LKYpTuX4wUemqLh+see/4Vdq1gwYiZ/XHs/tlf+6zSu/zn0jdXy/K4VZY1TJJnLh12CY/vHrULW00UiGkZERVNUXj24meV71pJz8miyyoBEP2YNnU5NTRzLdijkRdDRE/h+QDpjkRownEH/8BPSLz1Ibv1zBPY7tiPKKrFRU0ldeC1G/7PJZi0cp2Ofk4IgCELPIIKNThaGkDBiHZojocc4xs33Fvm8QxjCtedczlWj5vDCrhUs3vFyaftWGFIVSXLxmVO59KwLUWWFYtEhn+/c7VOmqRGPG/xtw6P8beMjbR+jGnzmgg9x/hkTqC808tjmZ1mxZx1ZJ4cqqwyI92X22RdRF6slGtMJw7DNXJW3UxSZRNIglEKe3/kyT25Z0qqClCRJTOg/hsuHXcLHz38vl551IT964dcUnAK10WNX8npm21KuHz2Pi4ecX1afjWbzhs/kYO4wb9RvL2vcRWeeT1UkSUNDKWDUNKWl63kQhHhezw9CYnGDaETn6S1LeGzzIvZk9x91zF/XP8QFZ0zgprFXU5eqIZux8Tyxp7+787yAxrRFLJakdu6Hqbns/eRffxEvfQjCACWaIjZ6Gko0iWM7pDOWSAoXBEE4jYhgo5OFPkweOA5FVvAraLKmKxoTB4wl8E58dVkolMq/mqbG9MFTmDl0WqvHXc/DsXyyVscSsNsiyxKxuMGjmxceM9CIahG+NvOz9I/X8fNl/8dLb64+KhH6UL6edQdeo9pM8Z5x1zJz6DRyOeuYe7kVRSKZMtmXPcB3l/yizdyYMAx5Zd9GXtm3kRG1Q/nixZ/kazM/y7JdK7lw8CSSRoKMfXRjxPpCI6v2ruP60fNYsWdtm8ccy7l9RzFp4FiCMGB4zVlHbeE6lhG1Q7ltynuxbKdUGtiQUZXWf5Z+4OPYPsWi2yPLhMZiBqap8ouXfsfSncuPeZwXeLywayWv7NvIl2Z8iuE1Q8mkrR75O59ugiAkm7XJSQ6RiIY5ctqRJqQSQRji+FBsyIv3UhAE4TQkEsQ7WbHokjITTB00oaLxFw2ZQkQz2504GYYhxaJDutGioSFPU1OBpqZC6f83FikUnC7pqRGJaFiuxV/W/b3Nx2VJ5vMX3UbfWC1fW/gTlu1eedyKS41Wml8t/wMPvPoE8biJcYwE+XjS4ED+EF9b+JN2JeG/Ub+dbyz6GX1jtYzqM4wwDJn1jqDs7X73yt/QFI0vXfKp0gpTO5QCmk/gOB6eF/D1WZ/jgjMmnnDchWdM4uuzPoccypiGTqh6PPbGIj7/xLf50P3/zAfv+xy3P/p17nv1cWwsampixOMnbqLWnWiaQjSq87vV9xw30Hi7glvk+0t/yYH8IWJxrYvPUOhMYRhSKDg0ZWwammwamiya0ja5nC0CDUEQhNOUCDY6me8HWLbDVaNmI5XZ6VuWZK4YORvbdisKEHw/wHV9XNfv8i923VB4dvsLOMfIgZg6aALn9TuHH7/wG3al97R73r+sf5CXdq8mEj36ItMwVHRV40fP/7qsErVvZvbx29V3M2XQOF4/vJXLh19yzKpThwsNfG/Jf9EnWsN35vwr0wZPOirHpFlCj3HtOZfzjVn/DIFMLmuTTduEHnz+otv4jyu+yYIRs4jp0ZYxMT3KghGz+M8rvsk/X/Qx5FBCViT+tPZ+bnvoS/xp7f3sTu+l4BYpehb7cge5d+OjfPLhf+NXy/+Aqpe2kPUUhqmyN3OAJ7csLmtc0bW4a+0DGLqOqoqPKUEQBEHoqcQ2qi5gFT2G15zF+yfcwB/W3NfucR+ddAuDUwMqrsp0sui6iqqoPL1lyTGPmTfiUl49uPmYnbyP596Nj3Hh4EnoutoqidQwFdbuf4292QNlz/ni7tV8aOKNjOs/miAM+McLPsh/vPjbNitT7Wx6kzue+SGfPP/9fG76x2gsplm4bRm70m9iew5RPcL4fmO4aMgUZEk+knj/Vj5MNmuXehCYVXxw4rv58KSbcI8UDdAUlSAMcGwPy3IxDJWfLftfXnpz9XHP3w8Dntv+Igdyh/jKpbf3iBUOWZYwDJUnXn2uovGr922godhExIySy3VuYQNBEARBEE4OEWwch6Yp6LqKdGSBIgxDHMc/YXKj6/rkcjZXjZqDruj8/pW/4R2nwpSmaNw2+VYuHXohmUyx25c/lWUJ1/fYnzvU5uNnJAdwbt+R/GzZ/1Q0/670HjYd3saZicEtwYaqyhi6zhNvPFfRnF7g8fTWpSwYMYv7Nj7GreOvQ0Lil8vvbHN15lC+nm8993MGpwbyscnv4brR81Dkt+6wO56LVfSxrLbLdzavMBXyTkvCN0AxdHEcH0mC6poYf13/0AkDjbd77dAWfr3ij3zmwg9X8CqcXIah4gcBi3e8VNH4IAx4estS3n3uFXCCiqqCIAiCIHRPIth4h1JJVQ3dUNA1jYZCE43FNBIS1ZEU1VUpbNfFsfzjlmktPRYyZ9jFTBs8mWe2LuXprUs5XGhoOaZfrA9zh1/C7LMvIqKaZDLFE1Zi6g4kSTpuCdlJA8dSdC2W71lb8XM8t30ZHz//fWQprfI0b6VZs29DxXOu3ruBG8YsYNW+9ezNHuD2aR/lV1d9l4Xbl/H01qUcyte3HBvRTC458wIWjJjFwGQ/CgWbQsEBpLJ6AwRB29W1IhEd13crCp6e37WCW8ddR02kquyxJ5MsSzQW0xTdylfq3szsQ5EVJIkeX5FLEARBEE5HIth4G1mWiCcNVEXmpd2reWLLYjYd3trqmHP7jmTe8EuZOmgCuqGQyx670pNlebiuj2nqXD1qLteNnkfGzmJ5DqZqkDTiRyoNBTRmC12SyN0VwjDEVI+9jSeux0hbmYqqcTWrLzQBpfckCEIkScLybPzjJJmfSN4pHDm/KCv3ruMLT3ybeSMuZc6wGVxzzlwO5xsouEUMRac2VoMqK9i2R1NT4W2rWZ3zHumGwsIdL1D0yr8QD8OQJ954jveMu7abX4RLOH7Hyi03j5ek8oI8QRAEQRC6BxFsHCHLEomUSdrO8J3F/8m+Y+QFbDy4mY0HNzM4NZA7LvkMiVSMTJN9zAsh3w/J523y+dK2ElUxSMgmoR+SzVo9YiXjnTwvQJZlzu07io0HNx31uITU4UvykNZBRRiCdoyk7vbS1VLSefO2qQP5w/xhzX38df1DTBs8mZG1Q5k5dDoEEnbRJWt3fslgKK3SaKrK8+2sztSWpTuX897x16NpardtjhaGYavk+Eo0j+8pgbggCIIgCK2JMi9HxBMGOSfHV5754TEDjbfbnd7LV579EcX/z959x9lRlQ0c/83MvXP79t1kU3fTO+m9QxJIKCKIFFFUBBuKDVFBxIpdkFdEKQIiKCKdQICE9N4T0pNNb1tvn/7+cbNLNtvu3fTkfD+f9/3I3jlz5+7sbs4z5zzPYyYJZqlpvYemmcTjOrFYakvO+RhoAJimhWYYXN5tQqOvR/UYWZ5gXZ5Ca+R4s4GPJ5m27aDICm2Dha0+Z/ustgBUJWrqfV23DOaWLeHvK1/gzS3vI8mpEsbNTXDdboVgyENWjpfcPB/ZuV6ysj34fG5a+ti135fKE64jE9XJ8LFztfoUp51p2uT6sumY3a7V5xjYti+6kV4ZaEEQBEEQzj0i2CA1cfSobv60+EmqkulPAMvjlTy69Gm8qorb3Xh51BOpqkIoy0Nunp/CwhD5BQGyc70EAh4U5RyeOZ5AT1oMa38J+b7cBq+tP7yZgOpnUNu+rT7/uM7DsWyLnFwfbreS6mFhmVzWdVyrz3lZl3GsP7y5bqLemPd3zEeRZbzexvs7eDwusnO85OT4qdIrmbl9Ni9ueJ1XNr3D8oNr8fpc5B7rh3EywdaFQNdNDNNkatfxrRof8gQZ3WkounZuF0wQBEEQBKFpYhsV4PW52F29j83l2zMeu/bQJg5FjpDjzWm2SpXX68bjU1BdbnZU7GbJvlVE9BiuY0/rJ5aMIi8vSFLTicfO/U7Rmmbg9bn4zpg7+MmcP9Sr6LSzag/bK8qY2m0Cq1qR0N02WMiAtr15fs0rDGjbm75tehAJa+iazaVdxvDvDW80m6DemI7Z7ehT1J3fL/xbs8cdjVey4cgWuud0bVAAIBBQ8fs9LNu3hre2fsCmow1/Xp5WA0wsHc01vaaSleMlGk5iWfVXSGq33OX5cuolpWci99jKz7mexqBrFhNLR/HC+teIG4mMxl7WZSwSUrOFGARBEARBOLed1pWNhx9+mOnTpzNjxgyefvrp0/lWrSbLEh7VzcxWllQFmLntQ1SPq8kn2YGAh1DIy9J9q/n+rF/xg/cf4rXNs5i9cyGzts/j2TUvc+fr9/LnJU9TpVeRle3F5UpvpeRscRyIRjRKczty/8RvNtib/+72uQws7kNJToeMz31N72mEtShvb5vNL+f9mSV7VxEMeTAME7/bx6f6zsjofIok89mB11EZr2ZFGhWyjsQqQKo/i/f7U4HG06v+w+8WPt5ooAEQ0WO8seU9vj/rlxyNlxPM8iLL9X8uTNPGME3Gdx6e0ec43viSEdiOjWGc21vxkkkDRVL4zpg7mmyO2Jjehd35VL8r0ZLGOR9QCYIgCILQtNMWbCxbtowlS5bw+uuv8/LLL/Pcc8+xc+fO0/V2reZyyUiSxOoDJ1FS9eAGZElutNNxapKq8uTKF/nz0qfZVbWn0XMYtsn83cu4972H2Fqxk1CWB0U5t3e5maZNuCZJl9zOPDrjZ9wy4FqKAgUALNqzgrKqfXx/3Fcp9Oelfc7pPSanVi/Wv45hm1iOzaNLn2FX1R68PjexmMYnek/jqp5T0jqfIit8bcRt9C3swZ+X/iOtalb2CVW0XC6ZQMDDC+teY+a2OWm9b0Wiip9++CdiRoxAoGFOj65ZjC8Zic/tTet8x5MkiWndJqQS8c/xibhtO0QjGn0Le/DDcV/H52r58w4q7sePxn8d07DqNUtsjCRJyLJ00W9ZEwRBEIRz1WmbzQ4fPpxnn30Wl8tFRUUFlmXh959cZZrToXaSEjXirT5H/FhJ1RMnPMdPUt/dPjetcyWMJL+e/xcORg4TCKaXeH42WZaNljDxyF6u7Hkpj0x/kKc+8Tt+ftk9JM0kITXAr6bcS9+iHs2ex+PycPOAT3DboE/x6qZ3eW/H/LrXTNvk5Y/exqO6MQyLWEzj1oGf5Bsjv9DkyomExCVt+/DApG8xosNAHl7yVKOVsxqT7c0C5+N76fW5ORwt59VN76Y1vlZVooZ/rXsVr1dtsLqRTBq4FRfTu0/O6JwA4zuPIM+fc95MsA3DIhxO0ruwO3+56hf1gtJasiQzvP1Afjzxbn4w/mvYJkTCjXcNl2WJQMBDbp6PgoIg+flBCgqC5Ob5z7vcJ0EQBEG40J3WnA23280jjzzCU089xeWXX06bNm1O59u1Su2TYVV2Z5wHUMutuI+dq/5jZq/XTUW8mlc3ZzZJTZhJnl37Mj+acBcul45pnnv5G7Is4feruFUFWZLYXL6DqmQNsiRR5C+ga35nTNvCscCreHlg0rfYW3OAt7fOYfn+tUTr8lWKuLTrGCaUjMSreHhuzcu8seX9Bu+36uAGKuPV+Lx+olENy7IZ0X4QYzsPY3tFGQv2LKcmGUGWJAoD+UwsGUnbUBFlVXv52YePpJWP41bcZHtCDCzui5FMfc8lScLjcfHOpjk4rSjou2jvSm4b9Cl8PpVY7OPJs207JOIGN/S7koORIyzauyKt8/Ut6sGdQ28hkdDx+c79YLSWYVjUVCfw+VRm9JjM1b2msD98iLAWRVXcFAUKyPIGSep6k80tJUkiEFTxeVViepy3ty1kS/kOkqaG1+WhR34pl3Udl8p9SupEo7rozSEIgiAIZ5nknIF/jROJBF/+8peZPn06n/70p0/327XKfe//lq0Vrdvm1b9NL+6f+M0GX7cdmxfXv57xE3FIPZl/9MqfUeDPOyefYFu2RcxI8O62uXywcwGViep6r7cPtWVKt3Fc2mUMLtmFIiskDQ1VcSPL9RfUqhM1fLBzIe/vWEBFoqrJ9/x0v6v4RO9pDfb+27YNUurpeOrabLZV7OS5tf9jW8WuZj9Hx+x2TO06njGdhxE8Lu/Esq269zEskzte+z6xY6tfPreXvoU9CHmCyJJEVI+zuXwHNU1Uubr1kk8yvcfkRnMWan/9Xlz/Om9vnY3WRBM8RVaYWDKKLw65ERmpwffwYmDZFnEjwbNrXmbR3pWNPhxwyy5GdhzM5wZeT0D1Z5QnIgiCIAjCqXfaVjZ27NiBruv07t0bn8/H1KlT2bIlvW0sABUV0TPWyCs718tlXce2OtiY0nUcmmEQrv64G7TX6yYQUJm9c1Grzung8O72udzc/xOUl0dbdY50FRaGOHo0ktaxLpdMVraXbRW7+PX8x+om4CfaHznEP1a/xFtbZ3PfhG9Q6M9nb/gAf1j0d7rkdiKg+jFtk5pkhI+Obkur23h5vApZklu81lCWF6/Lw87K3U0eUxxqw51Db6ZPUQ+qEjXM2j6XfeGDGJZJUPUzuLg/Q9r3x3EckqZG3EzQKbs907qNZ1zn4XiP5VrYjo0syZi2xdJ9q5m1fW6D5PFd1XtRZKXJ6w4EVG7sfzWf6D2NObsWMbdsCRXxahzHJseXzZhOQ5nSdRwhT5BEQicaTa2QZHLfzmeSBKFsL2E9wk/m/KHZCl61uU+bjm7ngUnfIteTTbgmeU7ltlws9+1CJO7d+Unct/PTxXbfCgtDZ/sSTpvTFmzs27ePRx55hBdeeAGADz74gOuuu+50vd1J0ZMWYzsN49k1LxPVYxmNzfVmM7z9wAaJrLIsEdGjhLXW/6LsrTmALMvIsnTOdFAOhjyUVe/j53MfqVfutilHYxU8MPv3PDTlBxSHiqiIV1ERb3r1ojm2Y6e1ypOI63TKac+dwz7DY8uea7D9qXt+KfeO+yo1WoTfL/wbK/avbZA4/sHOheT7cpnWfQJX95rCw9MfpG2wkMp4Na9tfi8VECSqwEn1gxjTaShTu43nwcnfYdWB9fxp8ZMkzVRQoJmpnw1Jkhrd1hOL6SQSBl6vmyldxzO9R/08DtOy0DWLysrYOV8S+XTw+z042Px87iNplwouj1fy87mP8OupP8Tv99TbwiYIgiAIwplz2vZiTJgwgYkTJ/KJT3yC6667jkGDBjFjRmYlS8+UZNJEkmQ+c8knMxonIfHZQdfj4KBp9SfekkRak/HmnOz4U83rdeNSFP646ImMrq06GeYvy54lqAboWdC11e+f483CtFpeATFNm2hEY0LJSL41+nb8bl/da8WhNtw77qvsCx/ivvd/y9J9q5usUFWRqOJf617l1/Mfo8Cfx9byXXztzR/x8kdvUx6vxHEcHBzCWoSZ2+bwrZkP8uv5j9GroBs/nnQ3XpcHoK7iVHM7Fm3bIR7Xqa5MUFUVp6YmQU1NgurqOFWVcWIx7aIMNABUj8ysHfM4GDmc0bjD0aO8u+1DVI/YSiUIgiAIZ8tp3fh911138fbbb/PGG29w1113nc63OimO4xCLakzuMppbBnwirTESErcN/hSjOw4hGtEbbNNwHOpNclujdvy5sgVE9SisPriBI7HyjMeuP7yZw9GjXNt7Wqvff1zn4ZjNNE48nqaZhMNJhrUfyN+u+TVfHvYZSnM7csfQm6nRIvx6/l/SbjK3+uAGHl3yD3oUlDKwuF+zx648sI4H5vyBdsE23D3qiwD0K+qJbqYfnJmmha6bqQ7caX7eC5XH48KluHhv+7xWjW+pI7wgCIIgCKfXxZdl2gRNM4lGk1zTexr3jP0K3fNLmzy2V0E3fjj+61zebSLRqIauN6ycY5oWAdVPaW6nVl/TJW37YJjmOVFRx+WS8ahu3tmWXgnfEzk4zNz2IZe07UNQDWQ8vldBNzpkF5NMpt/ETtdNqirjGEmbsZ1G8OupP6RvUQ9e2vBmxt2sF+1dwdbynUzrNr7FY3dX7+PPS//B4Hb9GVzcnzGdhqEnL85ViZOlelxsOLyFw60IcCHVEX7d4U24VbG6IQiCIAhnw2ktfXu+SSQMLMthQFFvhrYfwO7q/cwrW0JlogZJgjxfDhNLRtEhuxjdMAiHE+h640+edd1CNw2mdRvPX5f/M+Nr8bm8TCgZia6dG0+2axsMpturojEbj2xBkRW65Zew5uDGjMZe03squmFk/KTfcVLbk4hDVpYXzUmyLI0u4o2ZtWMeXx9xG22ChRyOHm322JUH1rEvfJBP978KRZJJJpPNHi80QXI4kOH2qRMdiBymZ163U3RBgiAIgiBkQqxsnEDXTWqqk1RXx2njLeSWAdfyzVFf4Bsjv8BN/T9BgSef6uo4NdXJJgONWoZmM7bzcEKteJI/sXQUbsVNMnlu5G1IkoRlWxh2+isLJ4obqQn3FwffmNEWs5v6X8OQdv1x7FTAEMrykpXlzbiBm+KS+WDnwrQqXzVm8Z6VxPQ4YzoNTev4Wdvn0TmnPUnt3FidOl+ZJ/EzB2BaJudg9WhBEARBuCiIYKMJhmERiWhUVMQ4ejTC0aMRKitiRCJa2k/XEwkDGYlvj7kDl5z+IlKX3E7cMuBakkn9nKlC5TgOiqygSK3/kalNmM735fKLy+6hfVbbZo/3ubzcPuQmru1zOQA6Opsqt7L68Do2VW7FVgzy8oKEsjyozWyTUVWFYMiDS1HYFz7Y6us3bJMjsQpyvdlpHb9w9/JUWdyLPO/ipDi0Klg/XtATOGfyngRBEAThYiO2UZ1GjuMQCev0LujGD8Z/jd8tfJyE0fx2mt6F3fn+uK/g2BCLNt7g7WQoioTXq6K4JRRZAiRM2yQY9JBMGk12K68NekpzO7G9sqxV712S0wGASDhJYTCfP17xABsOb+GdbR+y5tBGdMtAkWQ6ZBczpet4JpSMxK24OBw5yosb3mDpvtX1nnK7ZBcjOw7iiu6T6J5fSjyu1ytx6vW68fgUVJeb3VX76extj2Gd3FNywzJQlfSSjSN6DNtOr1yv0DjbgsHt+uOWXa1aVXPJLoa2G8BJLo4IgiAIgtBKItg4zUzTIhxO0rugO3+58he8v2M+s3bMr9cvQEJiQNveXN59IoOL+6HpBpHIqd3jrygy/oCK1+MmpseZU7asrnxrtjeLsZ2GkZebg6YbJOINcyMMw8KwTKZ2G8/2ZWV4XR46ZbcnoPowbYuwFmVP9f4GPS2Od0X3iWh6KqCpqU7i8Zh0yy3lu2N7AvW7dpuWiSIr/HvDG/zvo5mNns+0TRbsXs6C3cu5ovskbhv0KQBiMY1g0IPPpzKvbCkzt81hZ+UeXrjhUYIef6PnSldA9RNtopHhiSQkEWicpGRSJy8vyMiOg5m/e1nG40d0GEjIE6SyMrP+OYIgCIIgnBoi2DgDDMOipjqBz6cyo8dlXN1rKnuq9xPWIrgUN22CBeT5UhP9aFQ75XkabrdCKMvDwcgRXln9Dkv2rmrwlPj5da8wqG1fruk9jV4FXRu9DlmSGNNpKLbjMKrj4Lr+EbUORo4wa/s8PixbTEyvPyEvyelAt/xSdP3jc2qaiaaZxBUDl0s+1vROR1FkAgEPT658kXe3p1f9aua2OdiOzReH3IiiSLhVhf9b+gxzy5bUHVNWtY8hxf15f8eCtM55ouJgEe2z2vLyR2+ndXyuLxtJOncaMp6PLMshqRlc2fMyFuxZnlHui4TEjB6XktSMi7ZHiSAIgiCcbSLYOENs2yEW04jFwOt1UeQtoo2vTd1rVVWxJrcwnQyXSyaU5WXtoY/446K/o1mNb81yHIdVBzew+tBGPj/oBi7vPhHHcdC0VFCiqgoSEm7FzeB2/Xhzy/ss3beGiBZFkRXaBAuYXDqamwdcw039r+bp1S/xwc7UpN6tuPnikBsJaxGCahBJqt87xLLsepPBrGwvqw9uTDvQqPXu9rlMLB1F17zO/G3F8/UCDUhVk7pj6M0U+vM4Gq/M6NwAU7qNI5yMsHTv6rSOn1AyEsu2MQyxh+dkJBMGnXM68PlBN/DUqn+nPe7WgZ+ka15namoyK3MsCIIgCMKpI4KNsyDVK+LMTECDIQ87Ksv4/cLH09rz7jgOT636NwG3n9Gdhh6ruOXgC6gYtsnflj3Poj0rGnTdLo9XsvHIVp5Z8zI39LuSO4fdQo43xFtbZ/Pt0V+ic04Hnlr5b7464rPIstzkk+bafh4zt85p9WfeUbm70dWLhbuXc+sln+Ty7hN5bu3/Mjqnz+VlYulo3t8xP63voyzJqYDNdgiFUitAtu2QTKbKK3s8LmQ5tcXKcRxM077oG/g1xTAsYlGNy7tPRFXcPLHyxWYrVLlkF58fdANTuo0jEkmK76sgCIIgnEUi2DiHSJJUNwmVJLDtVM5HaydLqurC7XLx95UvZJxc+9TqfzOy42C8Xjcut4TtWDww5w/sqtoDQJtAAVO6jWdkh0FkeUO4JIWYkWBL+Q7e3T6XingVNw24hindxuNVPPx6/mNE9eixz9n0+3q9bspjlaw99FHGn7dtsJCueZ15dOk/Gn1ds3Te2jqb6/tMZ9PR7aw4sC6t8yqSzLdG344Eaa+2TCodTa4vm61Hd1KRqMLjUinJ7Uhebg6WbSEhEdFjWLaF3+Mj6PKjGQZ60kLTDFE96QTJpIHjOEwsHcXw9gN5b8d83t8xv94KVb4/lyldxzGl6zgCqp9wOFG3MicIgiAIwtkhgo1zgMul4PW58HhcqQpWWgzTtgh4fASDfnTDQNesYxOuj8cpiozP58alyriV1K20bRvdMNE1C9WjsK18F7ur92V8TTE9zvzdyxjfeQQuReGXcx9lV9Ue2oXa8LlBn2JQcV8iWpT5u5dxOFqO5ViE1CAjOg7i/onf5EDkMB8d2Ua3/M7c/8Hv2FW1l14FqcZqze27lxRYe3BTs4nmTZlQMpKIFmXxnpVNHvPyxrfpmFXMt0d/iceWP9di0rHP7eU7o++gb1EPfj73z1TEq1q8joFt+3L7kBuZvXNhvYaOkiQxuLgf07pNYGBxX9Yc2shfl/8Ty7boW9STy7tNYFj7S/D6XETCmsgzOIGmmZimhderclXPKXyi9zRqkhGSZhKvy0OWN4RtO+iaRXVVHMsSEZsgCIIgnG0i2DjLAgEVv9/D4Wg5MzfNYe6uJcSOq3bUs6Arl3ebwMiOg/F4U5NQAH/AjdejEk5GmbV1IQciR1IlbNUAwzsMpG9RDwDeWf1hq6/tvR3zmFg6kp2Ve1hzaCM9C7rw/bFfpUaL8H9Ln2HR3pUYVv0k8pc/epse+V24qudljOg4CIAOWcXsqtpL36LuWLbV7CRQkiBhtG6PfYE/j33hQ82u4jg4PLLkKe4Yegt3jfw8V/SYxKzt81i4Z0W9z1IcasPUbuOZXDoaVXGjyAqDi/uyp3ofEb3xykYeReWyruP4zCXXsurgBv6+4l/139txWHlgPSsPrGdUxyF8fcTncMkuHln8FBuPbGHjkS0UBvK5d9zXKM4uIlyTFAHHCSzr49wnj8eFW/GgKl4c2yEa0cRKhiAIgnBRWbp0KT/72c948803WzX+pZdeQtd1brnlllN8ZR8TwcZZFAx68HhdPLHyBd7bPr/Rp/lbynewpXwHz639H/eO+yodc9rhOHAkVs5/Vr7J0v2rG3TEnrltDqM7DuHu0bdT1opVjVpxPY6ExDvbP6Rjdjt+MO7r7Kzaw28X/rXZfiFbK3by+0V/45peU7nlkmu5sf/VLNyzgqndJqBrzW8Jc5zUpL01PC4VzdRaPM5ybB5b/hxL9q1mWrfxfHnYZ7ht4Kc4Eq/AtE2yPCGKAvkYlomhWVSHE3g8Lmb0uJQruk9i0d6VzNm1mIp4JbbjkOPNYkynoUwsHYVHUXl3+1yeWfNfbKfpQGHx3pWYtsl3xtzBzso9vLHlPQCOxiq474Pf8PPJ36NNVhHh6oTYUtUEEVgIgiAIwslZuXIl3bt3P63vIYKNs8TnU/H5VP646AkW721620+tykQ1P579e346+TsUh9rw83mPUB5ruqJSWEvlR2hm6xsDDmjbB9uxWbRnBT+/9HsciZXzmwWPkUxjQg/w2uZZ+Nxeru19Odf0mkquL7vlfgc2lOZ2btX1Jowkub70unsDrD64gdUHN1AUKGBMp6Hk+LLomtuZAl9ug/3+iYRBMmng86mM6jiE8SUj6p1Ltwze2Pw+7++cn9ZWK4Dl+9fywc6FzOgxmbe3flCXdJ8wkvxy/qM8OuNneL1uEolTWwpZEARBEITz03//+1+efvppZFkmNzeXT37yk3Wv3XvvvXTv3p0vfvGLDf77X//6Fy+++CJutxuPx8NPf/pTdu3axezZs1m4cCFer5dbbrmFxx57jFmzZmHbNu3bt+eBBx6gTZs23HrrrWRnZ7Nz505uuukmbr311rSvWT7l3wUhLV6fize3vJ9WoFEraWr8ct6jSMCYjkObPTZ+bCuS/4ReGJnI9oSI6XG65HamJLcjz655Oe1Ao9ZLG98iokW5ru8VJDW9xW1BmmbRLb9zXbfxTOwLH6I0tyMBd2aN+47Eynll0zs8veo/RPUYhmk2+tTc5VLweFPx+dK9a3h8+T95eNGT2I7N06v+w783vJ52oFFr1va55PlzGNJuQL2vV8SrWLJ3FapHyeh8giAIgiBcmDZv3szvfvc7nnjiCd544w0mT57MX//61xbHWZbFL3/5S5544glefvllbrjhBlauXMmUKVOYPHkyt912G7fccguvvvoqW7du5aWXXuK1115jwoQJ3HfffXXnycrK4u23384o0AARbJwVXq8bRZZ5uxXlXauTYRbuXcGUruOa7U59OFqOZVv0a9Oz1dfZJliIA0zrNp794UNsOLIl43NYtsWsHfNQJIVYtOVVFl03MUyTqd0mZPxec8uWoEgKE0tHZjwWoNCfx6Difuhaw4BIVRWysr1sPLKFO1+/l98vepwPdi6kQ3YxCSPJ/N1LW/Weu6v3s/nodi7rOq7Ba+9sn4vqduN2i4BDEARBEC52ixcvZuzYsRQXFwNw22238eCDD7Y4TlEULr/8cm688UZ++tOfkpWVxfXXX9/guDlz5rB27Vquu+46rrnmGv75z3+ya9euuteHDm3+QXdTxDaqs0D1KKw+uIHyVjSWA5i1fR6TSkczsG1fVh/c0OgxMSPO4Wg5l3ebyFtbZrequlNJbgf8bh8jOgzi+XWvtOpaAd7fsYDr+kzH7VbS2mevaxaTSkcxf/dSNh3dXvf19lltGdd5OLm+bFRFJW4kKKvax4Ldy0iYSdpntUVC4oruk3h725yMuk0DXNZ1HJZtN+icrigywZCHVQc28PuFj9frMdIhu5itFbvQrdZvddpwZAsTS0c1+PqW8h1EtRhut0v0ihAEQRCEi5yiKPUeNCeTSXbu3Fn335Ik1Zv7GMbHc5Pf/e53bN26lUWLFvG3v/2N1157jYcffrje+W3b5vbbb+fmm28GQNd1ampq6l73+zPbOVJLrGycBR7VzdJ96XWhbsyOyt1UxKvokd+l2eM2Hd1GUbCAAW17Z/webQIFtM9qi1tx4VJc7K7e39rLpTJRTdxIIMvp/bjF4zqGYfH9cV+lZ0EXRnQYxI8n3s0fr3iAy7qMpTjUhpAapGtuZ74w+AYev/pXfHfMndw77qsYpkVhIJ/PDmwYsTenb1FPru41Bb2RYMjnc1OdDPOnxU80aGboc/laXT2r7vMaCfxuX6OvRfRYsytYgiAIgiBcHEaMGMHixYs5cuQIAC+++CK//e1v617Pzc1lw4bUQ+jDhw+zbFmqvH9lZSUTJkwgJyeH2267jbvvvpv169cDqQDGNFNzn7Fjx/Lf//6XaDSV9/vwww9zzz33nPR1i5WNM6x24hjWWkiUbkFEixJQG5+g1npjy/tMLB3Fl4d9hh++/2uqEjXNHl/Lo6jcPfp2qhNhQmoAt8t9Uk/uIZVArUrpbweKRjSCIS8/mfRtFFnhoyPb+OOiJ1i2f0296lu5vmwu6zKWqd0m4HGpdf1IZvSYjOPYPLfmfy2u6lzStg/fHXMnhmETi9Xf6iVJoHpc/G/9h41+D3RLb3X1rFoexdNkIr9LVqAVq1KCIAiCIFxYevbsyfe+9z1uv/12AAoLC3nwwQd5/PHHAbj11lv57ne/y7Rp0+jQoQMjR6a2lefl5fGVr3yF2267Da/Xi6Io/PznPwdg/PjxPPTQQwB86Utf4vDhw9xwww1IkkRxcXHdaydDBBtnXGrimJpEtp5LdmG20BX8QOQwWyt20SW3Iz+Z9G1+Oe9RDkePNjsmqAa4Z+yXaRdqw8sfzeQzl1wL0OST93T5XF5MLf1Js+Ok/p8DzVbsqkrU8NLGt3h107t8bcTnGNVxCJIkYdkWM3pcyiVt+zJz22zm717eoCxu/za9mNZtAkPbD0DXTSLhhuV8vV43Dg6zdy1q9P3L45UMade/wdJlJkpyOzSaWK4qbrK9WegJsYVKEARBEAS45ppruOaaa+p97aqrrgKguLiY559/vtFxN954IzfeeGODr0+bNo1p06bV/fc3vvENvvGNbzQ47rnnnmv1NYtg4wxznNSeuLbBwlafwy27yPPnUJOMtHjs21tn850xd6Aqbn479YfM372Md7fPY09N/W1Rhf48Lus6jku7jMEBfrvgr9w+9CaSmo7LrdC/bS/WHNrYquvtmtcZr9tDdSze8sHH+P0qqsfFbxf8lZUH1rd4vGGbPLz4KQCGtr+EhbuXM6rTENqH2vClITfz2UuuZ1P5dmJ6HFVxU5LTgaJgAZphEIvqDfI0arndCh8d2UrkWCnhE324azGXd5/IoLZ9WdVE/kxz8nw5DG03gKdX/6fBa2M6DcUtu4homVUAEwRBEARBOFeIYOMs0HSTy7qO4/XN77UqcXtUpyH43b608j6W7VvDgt3LGd7hEpbsXcWQdgOY0m08Oyv31DWly/Zl0SO/lISR5MOyJXywYwFfGnozRf4CwjVJvF64rMtY/r3+9VZtp7q820R008goydnjVXhr6+y0Ao1aDg7/t/QZ/nzlz9Atg9tf/R53DL2F8SUjkGyZPnk9cAAJsG2Hqqo4ptlCk0Gcup4ljdlZtYftFWVM7TahVcHGpV3GolsG88uWNXjtiu6T0HQD2xbbqARBEARBOD+JBPGzIJkwaRMsaHVZ2qndJrDm4EccamFLFKQmy39Z9izViTBjOw/nw12L+euyf7K35gCyrKC6VMpjlfxtxb/46hs/YtORbXxnzB10zyslEk5iWTaJhI7X5WFs5+EZX2vIE2RMp6Hoyeb7axzP43GhyAqzts3N+P0M2+SDHQsZXzICWZJ5dOk/eH/HAtyqQjxuEAknCYeTRKNai4EGgISEIjX/azJz2xwGt+vHyA6DM7rWjtntmNFzMh+WLSZh1t/CNaLDIEpyO6IlRZdsQRAEQRDOXyLYOAtM00IzDG7qfw1uObPFpeHtB9Ijv5RZ29OfiHtcKtneLEzD5preU7lj6M14XCpL9q7i/R3zWbF/Hfm+XP40/Sd8d+yd5HvzCdckMc1UgGDbDknN4LaB19Mxu13a7+uSXXxn9B2A1OQ2pUav1+ti7aGPOBwrT3vM8T7YuQBVcTPuWHD0xMoX2FtzAJ8v84U8x0n1G2nO/N3LmL97GV8feRtDT2jO15SO2e340fi7OBQ9ygvrXqv3Wr+innxj5BdIJHV0XeRrCIIgCIJw/hLbqM6SeFSnNLcT3xz1RR5e/CRGC8nekCrP+s1RX2DD4S1pby9SZIXvjrkTRVKoDicAB4/HzaC2/RnZ8eMn8ZZtoWsWlZWxRrt8x6IaoaxUdahfzXuU7ZVlzb6vz+Xlu2PvpFdBV2pqkhklT7tdCqsPti4/BFKldnfX7KfzsS7ktmPz1tbZfGXYrcRiekbbkjTNpEteJzrntG+2/O9jy57DJSl8d+ydfLBjAe9sn8vemgMNjqutnjWjx6Ucih3lV/P+r64re1ANcFnXsXy631UYhkU0InI1BEEQBEE4v4lg4ywxTZtoJMmQdgN4YNK3eH7dK/Ua2B0vqAa4tMsYbux/NY7j0D2/lIHFfVqckPvcXr475k56F3QjHP54wp9MGsdWGpJIkkRBQZDKiuaTtx0HIuEkwSwvP7v0uyzbv5Z3tn3IpqPb6h2X789lStdxTOk6Dp/LRzicTGu70vFkWSZmpJ9M3pi4Xr93xaI9K7ht4Kfw+dwNyts2p66jedfx/H3lC00eZ9omf1r8JFdVXcb0HpOZ0m08Hx3ZxsYjW4kbCbwulZLcTgxrPwDbcdhSvoM3t7xPcbCIHvmlDGt/CWM6DUORZJJJI6NrFARBEARBOFeJYOMs0nWLcE2CkuyOPDj5O+yrOcisHfM4GDmMYZkE1QBD2w9oMAkNhTz8YPzX2XhkKzO3zmHFgXXYxzWbaxMsZGq38VxaOgZVUQmHk00mZ2ey4uA4EKlJ4vW6GdK2P6M6DuZItJxD0aOYtkW2N0Rpbkds20HXLGqiiVYlNzuOg6q4Mx53PNWlolsfT9h1y2DVwQ0MbXtJxufSNYsJpaOYue1D9oUPNnmcg8Prm9/jrS0fMLT9JVzebSLX9J6KIsnYtoNt2yQTJrIMfQq707eox8fvYRpoCYtkMrNVIEEQBEEQhDPhjTfe4LHHHsM0TT73uc9xyy23pDWuxWDjrrvu4qabbmL06NEnfZFCQ6ZpU1OdxO02KPDmc9ugG5CP6xjd2CQ0EtHQdYuuOSV8d+ydRLQoR2IVGJZByBOkfVZbTMtE12xqIq2b8DendmXE7TYIebLIyslGklLBSHNlZNNlWCYds9LPDTmRS3bRNljI+kOb6n09okVTpagylEjouFQvP5rwDX4y+/ct5pJYjs2Gw1u4ptdUJCSqqxreg0hEQ5YlJAlsO7OgTxAEQRAE4Uw6fPgwf/zjH/nf//6HqqrceOONjBgxgm7durU4tsUE8SlTpvCXv/yFadOm8eSTT1JdXX0qrlk4gWFYRCIaFeVRKiqiVFZGKS+PUlOVJJHQG0xGNc0kUqNRWRlDsdy08xVTEupMnjuPcDhBVWWCWEw7rWVTDcMiGtWIRFIVniKR5EkHGgCmbjOxdFSrO3OP6DCILE+Qebvrl5NtbSNFx4FoWCPkDvDLKfemVpqaOJeExCVte/OLy75HSU5HouGm74FtO1iWIwINQRAEQRBO2ocr9/KFn8/i6u+8xhd+PosPV+49ZedetGgRI0eOJCcnB7/fz7Rp03jnnXfSGtviysbVV1/N1VdfzY4dO3j55Ze5/vrrGTRoELfeeisDBqRXeUfITCYBgmXZF9z+/kTCIM8XYHSnocxponN3c6Z1G8+6Q5s5GDlc7+ttQ0XgtGJpg9Q9CdckCQY9fHPUF/iCdgPv7Zh/XE6Gly65HZnWbSJFwXw03SBck8CyRCAhCIIgCMLp9eHKvTz60lq0Y9vmj1YlePSltQBMHNLxpM9/5MgRCgs/rs5ZVFTEunXr0hqbVs6Gbdvs3r2bsrIyLMsiPz+fn/zkJ0ycOLHRluaCcDJs20HTDW7odyWrDm6gJhlOe+yYTsPoVdiN3y74a72vFwUK6FfUk0gk2cTIljlOavtTPG7g9apc3XMqn+xzxXHXbaPpJlVVsbqywcLpp6ouVFVBllOBpG076LopygYLgiAIF41nZ26qCzRqaYbFszM3nZJgw7ZtpOO2+TuOU++/m9NisFG7P6tjx47cfPPNPPzww7jdbuLxOJMmTRLBhnBaxKI6Wdkh7p/wDX4295G0Ao6h7Qbw1eG3MmfXIpbvX1vvtSldx2LZFpp28k3yUqtJGrEYx/IuJBzHEZ2+zyBJkvD53KgeBbfLxb6ag1QmqgEo8OfRLrtNqmu9Zh/bhnh2r1cQBEEQTqfyqkRGX89U27ZtWbFiRd1/Hz16lKKiorTGthhsVFZW8ve//51evXrV+7rf7+f3v/99hpcqCOmxbYdIWKM4qw0PTfkBL218k4W7l6NZDbeMtQkWcnn3iVzRfSJL967mb8ufb/D61G4T0LVTv9qQCjDETPZMUhSZYJYHB5vZZQuZtX1eg54mpbmdmNZtAuM6D8eteok0kzsjCIIgCOe7glwfRxsJLApyfY0cnbnRo0fz5z//mcrKSnw+H7NmzeJnP/tZWmMl5xzNTq2oiIrJwRlSWBji6NHI2b6MRsmyRCCg4vG4SZoaH5YtZl/NIXRLx+/2Mai4LwOL+xLWory9dTavfPQOznGT/3x/Lj+Z9G1yPdmEa5IX1BPuc/m+nS6yLJGV4+Vw9Ci/mPtnKhJVzR7fJljIfRO+QZ43h3BN8pz4m3Ix3rcLhbh35ydx385PF9t9KywMndT4E3M2ADxuha9/6pJTso0KUqVvH3/8cQzD4Prrr+dLX/pSWuNEsCGcF7/Qsizh9bpxe2TcigtJkjAsg11Ve3l3+1yW7F1Vrwu7IiuM7DCI2wZ9Cp/LR6TmwnuyfT7ct1MtO8dLZbKaH77/a6J6LK0xud5sfjnlXoIuP+Gas9+V/WK8bxcKce/OT+K+nZ8utvt2ssEGpAKOZ2duorwqQUGuj89e0fuUBRonQzT1E84Ltu0Qj+sQP7baEVTxelTaBAtpF2pDvza9SJpJvC4vPQu6MKXrOEKeIElNJ1ytifKyFwBVdaG63fxxzhNpBxoAVckaHl36NA9M+hZut9lkg0tBEARBOJ9NHNLxnAguTiSCDeG8U5vPEVcMfD4Pn+g9rV7fC9Oy0DWLysoYliWqQl0oPF6FbRW72FW1J+OxG49s5UD4ELnePBFsCIIgCMIZ1GJTP0E4V1mWTTSqUVkRr2uEWFERpaoyTiymiUDjAiLLEl6PyjvbPmz1OWZu+xCPx5V2qT5BEARBEE6eCDaEC0JtN+4LLS9DSHG5UitXaw9tavU51h76CFmScbnEnz1BEARBOFPEv7qCIJzzahcj4kbr64XHjo0VKxuCIAiCcOaIYEMQhHNebX6/qrhbfQ6Poh47l1j9EgRBEIQzRQQbgiCc82w7lX/TKbt9q8/RKbvdsXOJYEMQBEEQzhRRjUpoUW2PC5dLxpGcVMNsR0LXTTTNbHG8IJws07TRDYOp3cazuXx7q84xrdsENN0QhQMEQRAEIUOPPvooM2fOBGDChAncc889aY8VKxtCk1wumVDIQ25eAMUDa49uZOG+5Sw9uIq9sX1kZfnIyfXh96uIbfDC6aZrFqM6DibLk3njo8JAPgOL+6KL4FgQBEEQMrJo0SIWLFjAK6+8wquvvsrGjRt577330h4vVjaERnk8LoIhDwcjR3h7w2zm715G0qzffbljdjumdh3PpC6jcbm9RCMXXpdu4dyRTBr4/CqfH3wDjyx+Cof0ftZkSeaLgz+NZdskkyLYEARBEC5MkQ3zqJrzPGa4AldWPrmTbiHUb/xJn7ewsJB7770XVU3lPnbt2pUDBw6kPV4EG0IDwaAHn0/lw12LeXz5P7Gcxred7K05wJOrXmTWjnncN+EbhLL8hGuSiPxb4XRwHIhGNEZ3HEJUi/HU6n+3mOytyApfGXYrA4v7Ea5pfSUrQRAEQTiXRTbMo/ytv+IcezBshsspf+uvACcdcHTv3r3uf5eVlTFz5kxeeOGFtMeLbVQCkMrLCAQ85Ob58XhdLNy9nMeWPddkoHG8vTUH+MnsP2A4BoGg5wxcrXCx0nWTaFRjSrfx/Hji3VzStjcSDffwSZLEkHYDeHDydxjbaRjRSFJ0DhcEQRAuWFVznq8LNGo5pkbVnOdP2Xts27aNL3zhC9xzzz2UlJSkPU6sbAgAZGV70SyNnVX7aJfVhseWP5f2NhWAg9EjPLvmZb487DPEY7rYTiWcNslkKsm7W04pP5rwDY5EK5i3ewnVyTASEnm+HCaUjCTPn4Om64TDItAQBEEQLmxmuCKjr2dq5cqVfOMb3+CHP/whM2bMyGisCDYucooiY9k2u2v28buFj/PbaT9izq7F6JaR8bkW7lnO5wZdj8/nJhbTT8PVCkKKYVgYNRYul07IF+KantNQlNRCrWXZmIZNVVUM0xSVpwRBEIQLnysrHzNc3ujXT9bBgwf52te+xh//+EdGjRqV+bWd9BUI57VQlod94QP89MM/MaRdf0KeIO9tn9eqc+mWweydC5nWbSLETu11CkJjTNMmGtFaPlAQBEEQLmC5k26pl7MBILk85E665aTP/eSTT6JpGg899FDd12688UZuuummtMaLYOMi5vG4cLtc/HHREyRNjeJQGyrj1RyKHm31OTcd3c6VPS9DkhCJ4oIgCIIgCGdAbRL46ahGdd9993Hfffe1erwINi5iqtfF+sObORA5DIDP5SFhJk/qnAkjNV6SpBYrBQmCIAiCIAinRqjf+FMSXJxqohrVRUpRZLyqm3e2fVj3taSp43GpJ3VerytVjUrEGYIgCIIgCIJY2bhIuVypOHPDkS11XzsSKyfPm0O+L5eKRFWrzts1rwTTstJe1VBVFx6vgtutoMgKjuNgWhaGbtdVHRIEQRAEQRDOTyLYuEhJUqo3Qe22J4Cl+1bz+cE3cGnXMfxnw5sZn1ORFaZ0HYeutVxm1Ot14/WlckY2H93O0n1riOoxXLKL4lARk0pHk5cXIKkZxGO6CDoEQRAEQRDOQyLYuEjVrjyoiruuzG3S1JhXtpRLu4zl5Y9mYtmZ9SYY3n4gWd4glZXNl6IKBDz4/Sof7FzI21tns7emYcv7F9e/zogOg7ih3wwKswuIhJOijKkgCIIgCMJ5RuRsXKQsKxVslOZ2qvf1d7fPJdsT4jOXfDKj8+V6s/ncwOtJas2vQgQCKj6fm8eWPcvjy//ZaKABYNomC/cs5wfv/ZptlbsIZXnr+igIgiAIgiAI5wcxe7tImaaFbhhM7Vq/asH+8CGeWv1vZvSYzE39r0nrXPn+XH486W5CapBYtOlmfi6XjN/v4dk1/2XOrsVpnTtuJHho/v9xKHqEQPDkktcFQRAEQRCE1olGo1x55ZXs27cvo3Ei2LiI6ZrFqE5DyPKE6n191vZ5PLvmv1zb53J+PPFuhrYbgCw1/FHJ9mbxyT5X8JupP6LQn08knMS2m04M9/rcHI6W8/bWORldZ8JI8s+1/8OjuusS2wVBEARBEIQzY+3atdx0002UlZVlPFbkbFzEkkkDn9/N7UNu5I+LnsDh40DhzS0fsD98mOv6XME9475CeaySlQfWE9GjuGUXbUNFDG03AJDQNZNwRGu2ApUkSXg8Lt7ZNKfe+6Rr9aGNVMSr8HsDRKOiY7QgCIIgCMLx5u9exgvrXqMiXkm+P4+bBlzDuM7DT8m5//Of//DAAw9wzz33ZDxWBBsXMceBaERnRIdB3DnsFv624l/Yzsf5FqsPbmD1wQ2U5nZkatfx9CrsSkD143f5UF0qWtIkHtfT6qnh8biwHYcPdy1p5bU6zNo+jxv6XQUi2BAEQRAEQagzf/cyHl/+PLqV2s5eHq/k8eXPA5ySgOMXv/hFq8eKPSkXOV03kSSJiaWj+Oml32V4+4ENtkztqtrLU6v+zeub3yNhJPG4VGIRjVgsvUADQFEkqhNhYka81de6L3wQRZbryvYKgiAIgiAI8MK61+oCjVq6pfPCutfO0hV9TKxsCACEa5J0DrXnu2PvpCpRw8I9y6lOhpGQyPfnMq7zcAKqn6SmE65pTRlaqcEvQaZqx0uS6FAuCIIgCIJQqyJemdHXzyQRbAgAGIaFUWOhKAY+n48pXSagyBIOYNsOluFQGY3WlczNlOM4BFTfSV2j3+2vO5cgCIIgCIKQku/Po7yRwCLfn3cWrqY+sY1KqMeybKJRjXB1kqrKBNWVCcLVSWIxrdWBBoBp2mR7s+ic077V5xhU3BfdNMSqhiAIgiAIwnFuGnANqlK/RYCqqNw0IL02BqfTaQ02Hn30UWbMmMGMGTP4zW9+czrfSjjH6bqJYZoN+nqkK6gGGNNpGHpSdBEXBEEQBEE43rjOw7lz2C0U+POQgAJ/HncOu+WUVaOqNXv2bDp06JDRmNO2jWrRokUsWLCAV155BUmSuP3223nvvfeYMmXK6XpL4RynaxbjS0byr/WvEdMzSxSf3GU0siSTTCZP09UJgiAIgiCcv8Z1Hn7Kg4tT4bStbBQWFnLvvfeiqiput5uuXbty4MCB0/V2wnkgkTBQJIXvjL4DRVbSHtezoAs39rsaLWmIfI3TTJLA63Xj96sEAio+n4rbnf69EgRBEARBOJ7knIHZW1lZGTfddBMvvPACJSUlp/vthHOc7dhsPLKV3y14nITZ/ErFgDa9+e7YO3HLbhRZpBidTo7j1DVcjGoxdNvA7/bhd/uwbCujAFEQBEEQBAHOQLCxbds27rzzTu666y6uvfbatMdVVESxbfEU+0woLAxx9GjkjL2f260QDHnQLI33dyzgvR3zORIrr3tdlmQGF/fj8u4TGdC2N0lNJxIWjfxOdKruW2oVw0N5rIp3t3/I7F2LiGjRute75ZUwrdsExnQaigNEw1orSh8Ltc7075tw6oh7lyJJEi5XqueR4zipioVW6/4meDwuVI8Lt0tBUWRsx8E0bUzDJJEwTsk8QNy389PFdt8KC0Nn+xJOm9MabKxcuZJvfOMb/PCHP2TGjBkZjRXBxplzNn6hZVnC51NRPTKKrLAvfIiwFkGV3bQJFpDlDaHpOlrSQtPMM3pt54tTcd8CAQ9+v8pza/7Hm1vfb3abWrYnxPfGfpmueSWEaxIi4Gili+0f0AvJxX7v3G4Fr9eN6nEhn9BcVdNMdN0kmTTSOpffr9YFGWu2HmHZR4eJJQxUl0zHNiEuG94Jn8eFppnEYtpJzQcu9vt2vrrY7psINlrh4MGDXHvttfzxj39k1KhRGY8XwcaZc7Z/oT0eF263UtcZ3LZtNM0Uk9kWnOx983rdhEJeHl/+Tz7YuTCtMW7Zxf0Tv0m3vBJqqpPid7QVzvbvm9B6F+u9k2WJQNCL1+Ni35EIbyzYxeotR4gnDVS3QknbLK4YXcLQ3m2wLIdoNIlhWE2eLxjy4PW4eWP+Tt5cuIuD5bEGx3jcCuMGteeWab3IDqhEIslWr55crPftfHex3bcLOdg4bdWonnzySTRN46GHHqr72o033shNN910ut5SOE9pmilWL84Cr8/F7J0L0w40AAzb5NcLHuMvV/4Cr9dNPH5yXeEFQTi3ybJEKMtHNGHws6eWsm57eYNjjlYlWL7pMG3y/NxxbX+G9m5DNJJs9O96MOhBdbv41TPLWbz+YJPvqxkW7y/bw4qPDvPgHaPo2CZIuCYhHnAIwnnojCSIt4ZY2ThzLranBxeKk7lvquoiO9vHd975GXtrMq8S97lBn2Jq1/FUVyZa9f4XM/H7dv662O6dJEEoy0dNVOd7f55PZbjl0uOyBN+8cRATB3ckHE7UW+FQVYXsbD9/+Ncq5qzcm/Z1ZAdV/nj3BHKzvCQTOolEelu1al1s9+1CcbHdtwt5ZUOU9xGEi5DHq7D56PZWBRoAs7bPw6248HhO2+KoIAhnmderIssS9z++KK1AA8B24JF/r2Hrnip8vvrdjD0eN9v2VGUUaADURHX++c5mFFkiGPQSDHoyGi8Iwtklgg1BuAi53S6W7Fvd6vEHI4c5ED4senAIwgVM9biYu2o/BxrJqWiOZTv85/2teDwuXK7UNEOWJbxeN28s2NWqa1mwZj+RuMGKTYfxet0EAmrLgwRBOCeIYEMQLkKKLNcrb9saES1al9QvCMKFRVUVVLfC24taFxys3HyY8uoEXq8bSBWkiCcNFqzd36rz6abN7BV76NI+mydf34jf76kLZNIl/lwJwtkhgg1BuEi5TrJJnyIroqO7IFygVNXFgaNRtu2tbtV424EPlu/BdWz1U5YlDlXEME6iyuCeQxHysry8tWBHvUCmKbIsEQioWJZNYWGIgoIQhYUhsrP9+HyqeFgiCGeI2HAtCBchwzJpGyxq9XhJkigK5OOIIg6CcEGSJIny6pMrAFFRk0RR5LrzaXrT5XDToR9LNldcCm8t3MVnruiFFNM48ZmHJEkEgh68HhdJzeTNhbvYsa+apG7h97ro37WA8YM64PerJDWDWFQ0jRWE00kEG4JwETJ1m0mlo/nPhjewnMyfNA4u7k+WN0RVVWZ7uQVBOH+c7KOE48c7jkPQf3J5Fn6vG8uy0XSLWUt3c+sVvfF43PUaCdaW6o0nTf7+2hrmrdnfIMj5YPlennx9A5cN78xnLu9FVpaPSCTRIGgRBOHUENuoBOEilEgY5PiyGNr+klaNv6L7RDRdF40XBeEC5TgO+dnekzpHbshT14jPNG3aFwYpzPW1+nxDehex60AYgHBMJ5Y0kOWPt0JJkkQo5KWiJsm3/zSX95btaXI1JRI3eOXD7dzz6HwMyyYYOrnPKghC00SwIQgXIcuySeoGN/S7Eo8rszKS/Yp6MqBtb7TkyW2JEATh3KXrFh2KQpQUZ7VqvCTB5KEdMY1UsJFMGtiOw+UjS1p1vqJcH8N6t2Xm4o8T1k/M/wgEVDTT5v7HF3E0zS1gO/bV8OCTS3C7FHy+5nNABEFoHRFsCMJFKh7VKQ624Xtj7sSjpLe9oXt+KfeM/TJJTRdd3wXhAqbrJoZhMX10SavGX9K9kLb5gXpbnHTN5IpRJXhaUTL7itGlxDWTuas+rmbl97rqilRIUiqp/ZUPt3O4Mp7RuTeXVTFvzX5UVewsF4TTQQQbgnCRsiybaESjb1EPfnrpd+lX1LPJY31uLzN6TOYnk76N5ChEIyKhUhAudLpuMnloJwpzMtv6JEtw/eTuGKaF1+uqSxJPJHT8XhffuWUwcgaFoIb0KuLaCV15c/5OtGNJ4v265ONVXXVbOb1eNw7w3tI9GV1rrbcW7kJVXaJ3kCCcBiKMF4SLmGFY1FQnaRdqy48n3c2hyBHe3T6PfeGD6JZBUPUzsLgvE0pG4pIVkklTVG4RhItEIqGTpbp48I5R3Pt/CwjH9LTG3f6J/vTvWsCGneV0bBMiLy9AUjPRkgbRaJKR/Yr5/meH8fvnV6K3kPc1ekAx37l5CMs3HeaFWZvrvj5jTCnasdUXAJdbYemGQ1S38u/Tlt1V7DkUpijHV3dOQRBODRFsCMJFzrJswtVJ3G6DHG8Otw78JLL08aKnYZroSYtIUsMWpW4F4aLhOBCNJGmb7+f33xzPQ88uZ8e+miaPzw6q3H5NPyYO7sijL63h3SW7UWSJ4X3bcvW4LvTrWkAsphEOJxjRry1P3T+VmYvKeGdJGRU1ybrzuBSJkf2LmTG6lH5dC/hw1V4efnENtX9+CnK8jOpfTDz+cfAjSxJ7D0dO6vPuORSh6CQS2IVTp7YFSqofSqpggWnaIhA8T4lgQxAEILXKYRgWRDRkWUKSwLYRjfsE4SJmWTbhmgS5IS9/+tZEtu6p4s0FO1m15QixhIHHrdC5OIvLR5Uw9pJ22LbDQ88sZ+G6A6nxtsPi9QdZvP4g107sxheu6kssplFTHScU8vGpS7vzqUu7U3YwTDRhoLoVivMD5IQ8rNt+lIeeWc6i9QfqytJ6VYX7vzAS23bQtI/zQSRJQjdPso+HaZ98vV/hpCiKjM/nRlWP5eMoErph4/e6CQaV1GqWbpJMGqJU8XlEBBuCIDQgVjAEQahl2w7hmgSq6qJTUZBv3zykwTEHjkZ55q1NfLB8D9GE0chZ4JUPt6PIEp+b0QfDsKiujhPK8qIoMpXhJHHNRDcs1m8v58NV+xqsVOSEPDxw+0g6tQ0RrqnfF8N2HEIn2ccj5HcjmoqfPX6/SiDgoSqc5OUPtzBr6W6qjssP7FOax4wxpYwe0A6P1000khTl188TItgQBEEQBKFFum6i6yaxmEZOjp/VW4/y/rI9VIQTbNldldaT5v/O3saYS9rRoSCAYVhEwklCIS/D+rRl484K3lywkyUbDmJaH5+sS/tspo8uYdKQjkhAuCZR17+jlmM7jOjblqfe2Niqz+bzuOjfrQBTbNM5KwIBD36/ynNvb+K/c7Y1+sDro12VfLSrkrysjdz3+eF0aZ9NOJwQAcd5QAQbgiAIgiCkze1WUBSZx19Zx6GKzMrMAry5YBff/PRAYjEJ23aIRJLouknX9ll8/7PDiCUMyo8FFCG/SmGuH92wMHSTRMJodGtnMmnQrjBI/64FrN9RnvE1TRrSAdWtUBVJtnywcEp5vW78fpXHXl7L24vKWjy+MpzkB39ZyM+/Mpqu7bMJ1yTEavw5TpS+FQRBEAQhbarHxeotR1oVaAAsWLOfeNLE6/24iZ6mmUTCSSorY2DbFGV7Kc7zE/Ao1NQkqKmOE4/rTeaQGYaFpptcM75LxtcjyxJXjeuCppli0noWeL1uPli+J61Ao5ZmWPzsyaVYllPv5whSeR8ul4yiyGJb3DlCrGwIgiAIgpA2RZbZsKOi1eM1w2L7vmp6dsxp8Jpl2fWqTGV03qTBiH7FXDO+C6/N25n2uK98cgDtCoLU1LQcPLlcMl6vG0mWAAlwwEkFS7ouGp1mqra3yatzd2Q8NhzTeW/5Hi4f2RldTwWvqvpxXxdI5RtpuoGWNEUlq7NIBBuCIAiCIKRNliUS2slNrGMJIzVXP4U0zSQe17j9mv543C5emr212TwSlyLx1esuYcqIzi3u/VdVFx6vG6/HRUVNglVbjhBPmKhumS7tc+jZORfDsNB1s9XB0sXI43GxuaySsoPhVo2fuaiMq8Z2ITc3QEVNgv/O2cGGneWplTOPQvcOuVw5tpR2hUE0PdUn6sR8H+H0E8GGIDTD40k9dZFlCcdJlYHVNPGERBCEi5dtO3g9J9dp2+91n+pYA4BYTMdx4NbpvblseCfeXLCTD1bsTQU3x+Rlebl8VGeuGFVKVkAlHE6gNRM8BQIqfr+HNVuP8vr8HazcdJgTd1uVFGcxfXQJlw3vjOKSiUaSojRrGtyqwoK1+1s9fu/hCPuPRjlwNMrPn17WYBvc5rIq3liwk/5dC/jKdQMozg8QiYik8jNNBBuCcAJZlvD5VFSPjCIr7K7eR00ygiIrFAULKMrJRzMM9KRFMtl4iUdBEIQLlWXb9Oqc2+rxLkWma/tsLOv0zMbjcR1dN8kJqHzx6n7cdmVfDlfGSGoWfp+LtnkBbMfB0E2qq+PNPun2+1OBxhOvbeC1eU1v9Sk7GOYvL69j9sq9/OT2UQRDPiLhxOn4eBcURZbT7kzflOpwkmjcaDbfZv2Ocr73yDwevGNUqoqVSCo/o0SwIQjHcblkQlkeNEvnra0LeH/HfA7H6lc26V3Yncu7TWB4h4GoHoVIWBON7wRBuGgYusXQ3m0pzPFxtDrzCfXoAcWEAmoqGfw0MU2baDRJLCZRUBAkL+hBCqW6osdiGprWclM4t1shEPDwjzc3NhtoHG9zWRX3P76Ih742lkDAQyymtTzoInd8jkVrxxtpbI2KJU1++uRSHv72RIIBDxFReeyMEdWoBOEYl0smK9vL9soyvv7m/Ty/7pUGgQbApqPb+OPiJ7jvg9+iOxqhbI+oeCEIwkUjmTSwHYfLR5W0avyVY7uQTBpnZO987YOgWEwjGtWIxbS0u097vW52Hajh5TnbM3rPbXur+d+c7agel/i3oQWmadM2z9/q8bIEhbn+tFdHwjGdVz7cjqq6kMTNOWNEsCEIgCRBMMvDzso9/GzuI8SMlquS7KjczY9n/x4bi0DQcwauUhAE4dygayafmNCV7o1UlGrOFaNK6F2S12yOxLlAliU8HhdvzE+/qtXx3llShixJeDzulg++iBmGydQRnZHl1k38h/RqQ362l4VrD6Q95oMVezEtG59P3JszRQQbgkDqCZYsSfxu4eMYVvp5GPvDh3hq1b/xedVW/7EUBEE4H0hSahIuyxKxmIZjOzx4xyh6dEovf2PqiE58+ZMD6nIqzmVer5ukZjFvdeuSlytqkiz76BBuVexWb04iYZCb5WV4n7atGj99TClb91SxfV912mNiCYNF6w6guE6uyIGQPhFsCAKgehSW7FtNVbIm47GL9qwgpsfx+dTTcGWCIAhnjySlJt5Z2T4KCkLk5wfJzw9SUBDEcRw8LoWHvjaGL13Tjw5FwUbPMaBbAT+8bRh33TCIZNI4L/IYFEVmx/5qtJOoPPjRrkpcJ5mPcKGzLJukZnLztJ541Mwm//265jO4Z1FGzQBrHa6Miy1uZ5AIuYWLntutoLrdzNo+t1XjDdvk/R0LmNFjMrHTl+8oCIJwRvn9al135sXrD7Jw/QHCMR23ItM2P8AVo0vo3DYLw7SYPrqEq8d3ZcOOcnbsr0HTLfxeF4N7FtX1OGipxOy5RJIgdpLVBhOaiaKIGW1LEnGNTm1C3PvZYfzqH8vQ0yhL261DDj+6bThrtx/lw5V7M35Py3ZEzsYZJIIN4aKXqmRhsuloZkmAx1t76COu6T0VWZZEOT1BEM57waAHj8fNf2dv480FO6mKNFyNeGvhLnqV5PK56X3oU5pPPK7RrX023TrkIEmpyk+O7VBdHT/vehM5DgS8J7en3+dxnbbyvhcS07SJRJIM6lHIQ18fy5Ovb2TjzsY71HtVhclDO/KFq/ux60ANDz2zHKsV/+ZmBz3i3+ozSAQbwkVPliWS5smVwIsZibpziT9ggiCcz4JBD6rHxa+eWcaSDYeaPXZzWRX3/XURd980iPEDOxAOJ867wKIxlmXTpX02HrfS6q1UvUvyMEW36rQYhkU4nKBzmxAPfW0sew9HeGvhLvYejqAZFkGfmyG92zBlWCc8qoJlOzz0zDLiycxXyhRZYsyAdji2uDdnigg2hIue4zi45ZN7guVR1LpzCYIgnK/cbgWfT+WRf69uMdCoZdkOf3phNXlZXnp1zqOmuuVqfue6ZNIgLy/AuEHteX/ZnozH52d7GdG37XmRn3KuME2bmpoEbrdCQbaXO6/tX2+rk2FY6LpJVUwjO8fH+EEdeOXD9PqfHG9Ev7bkhDyntc+LUJ/IXBIuerbt4HV7KPTntfocnXLa4TiOWNUQBOG85vG6OFAe5b0MJ9iW7fDMW5tQ3Qpqhom+5yLbdtA0k6vGdmnV+GkjO2M7Dpp2cnkfFyPDsIhGkkiSREVFlMrKGBUVUaqr48TjOpZlox+7N5kmlcsSXDuhG0ntzPR5EVJEsCFc9DTNxLQsLus6rtXnuLzbxLQ60gqCIJyrJEnCo7p5c/6uVo3fuqeKnftrLpjeEsmkQZf22Vw7sVtG47p3zOG6Sd3RNVP8m3CSbNvBsuwGD/ISCYO8LC/33DoUJYOy83dcO4AenXNJJgxkWSIQUAlleT/+v5D3ggiWzzUi2BAEQNdSwYZLznxnYc+CrnTILibZir2jgiAI5wqPx4XjOMxekfm2oVrvLC7D47kwdmgbhkUspvGFq/pyzfj0Vjh6ds7lp3eMwrGdJrdQKYpMIOAhK9tHbl6AvLwA2Tl+gkEPLtfFPS1zuxU8Hlfdz1BT/assK5VUPrRXG37ypVFkBZovPe/zuPjWTYOZMaaUZMLA63WTnx/EkWRWbj7K3NX7WbzhEIcq42Rn+8nO8Yty9qfQhfEXQRBOUjKpk5sb4IZ+V/Kvda+mPc6jqHx+0A3ohnFBJEUKgnDxkmWJaMIgdhIPTg5WxJAk6YIplhGP60gS3H5Nf4b0asMb83eycvNhTvxonduGmD6mlCnDO2NZFpFIosG5XC4Zny9VTjgS03lvyW6OViVwHIeckIcJgztQlBtA00wSCf2i+TdFliW8Xjdu1YXqrr+qkJeX+n4kkw3/ja1NKu/XNZ9nHpjG/DX7eWvhLrbsrqo7plPbEDNGlzJ5WEdUl0IyqePzudl5oIY35u9k/ur9DUrtdu+Yw/TRpUwc0gGXWyYaSYoVqpMkgg1BACwr9RTqE72nkTCSvLLpnRbHeF0evjvmTjrntCdcc3LVrARBEE4nSUptk3Icp9mJ08lWTzKOTdwupBYGsZiOYdj0KcljUM8iyqsTrNpyhFjCwKMqdGmfTa/OeakEZs0gHtcbnENVFYJBL3uPRHjpg20sWnewwff6uZmbGNyziOsmdadf13yiUY3kSfb6ONd5vW4CAQ+mZTN7xV7eXbKb/UejGKZF0K8yvE9brhrXhZLiLDTNJBJJ1ivEYhgW1VUxvF43Y/oXM2lIR0zLJqlbeNwKbpdcl1ge102CQS+vfLidp9/c2OTvwba91Tz879XMWrqbB24fSSjkIxxuGDwK6RPBhiAck0gYSJLETQOuoWteZ97Y8h5bync2OM4luxjRYRDX9ZlO22AhkbCGmUYTIkEQhDOp9omxqrpwH/fE2DRtdN0kmdTr9YFwHOeke0uE/KmtJxdaVVFdN9F1E5dLJuB1M35gO+BYROU41NQk0PXGV4RcLplgyMfKTYf4zXMrmyyl6ziwcvMRVm85whev7sfV47siy1Ldvy+2bV9Q/9b4/SqBgIc3Fuzk+ZmbGqyoVUc0Zi3dzaylu+nXJZ97PjuUrGwfkXCi3qqZ46T+/U4kDNxuBUWRkSSJpGkRt2103cLlksnJ8fPa3B089cbGtK5vU1kl9z++iIe+NpZAwCMqi50EEWwIwnFqK10MbNOX4R0Gsqf6AIv2riCsRVAkhaJgARNLRhHyBEhqBuGapKhoIQjCOUWSIBDw4PG60Q2L95btYcPOCuJJA6/qolvHHKaN7ExeXpBk0iAW07BtB9O0CQZdDOhWwLrt5a1671H926Ib1mktAy5J4PG4kWWpbrXGsuwz0p3cNG2i0cwmncGgly27K/nVMyvSWjmyHfj7axsI+N1MGtyxXt6Cbljox7YVnc+l1j0eF4GAh3/O3MS/39/a4vEbdlbw7T/N5Xd3jScY8hKuaXylwTCsRrefeb1uyqsTPPXGhoyuc9veav793lZuntaTeFwT26laSQQbgnACTTPRNBO326DIW8B1faajyAo4DqZtYeoOlZUxEWQIgnDOkSSJUJYX23Z4/H/rmLNyH4kTJuEL1x3gX+9uZsyAdnz+qr6EsnxEI6lmfJpucuXY0lYFG1kBlXEDO6AlG24jOhVcLjm1UuNxgQNVEQ3NsPB7XORm+TBMC0M3SSSMcyZfpHZV6bGX12W8Re3vr25g7ID2/G/ONt5atIt2BUGmjezM+EEd8PtVYrHzd5uVz6cyb/W+tAKNWuXVSX7898X8+TuT8HrdaX92SQLV4+LND7Y1yLVJx6ylu7lpWk+8XjeJxPn5/T7bRLAhCE1o6gmJIAjCuSoU8pLULX74l4XsORxp8jjDtPlw1T7WbS/nl18ZQ2Guj3BNAl0zGdG3mDZ5fg5XZtac74pRJcgyp6Uyn8+nEgx6KK9O8J/Z23lv2W5qoh8HNe0KAlwxuoSpIzqTk+MnGk2i62f/77fH42JTWQVlB8MZj40lDOau3selwzrx4ntb2BStZFNZJU++voFbr+jNFaNLkSSJROL0BHenS20A9tIH2zIeu+dQhGUfHWJQj8K0gw2v141t06rmjADVUY2Faw8wsl9bEWy00sVdY00QBEEQLhB+v4qsSDzwt8XNBhrHqwwnuf/xRWi6RSCgomkGpmXzwO0jCfjSz98Y3LOIm6f1QjsN23v8/lSg8cKszXzx57P47+xt9QINgAPlMZ58fSOfffBdlm48RFaWD1U9u89Ta3Nm3lpY1upzzFxURlGen35dC+q+Fokb/OXldTz/ziaCQc95V2rY43GxuayyVQEYwNsLd+FRXbhc6fXDUBSZA0ejhGOtD8o27Kyol/ckZEYEG4IgCIJwAXCrLmav2MuO/TUZjTtaneDVuTvqJuexaJLi/AC/vWscRbm+FsdPGNSe+784Al03iZ3EhK4xtXv7n3pjI/96d0uL22A03eLXzy5nwdoDBEMeFOXsTXNqcy12ZXg/jrfrQGpsQU7D+/Die1uZu2rfedcPwuNJ/Zy21pptR4nE9LSb70mSROwkt5slkgbyhVRi7Qw7v8JhQRAEQRAaUI/1KJi5qCzjsZIEhypjAOTnB5GOTaraFQT42w8vY8n6g7y5YBcbdlbUjfGqChMHd+DKcV3o3DaLREJvNHG69um+y60gSRKSlOoKbVs2iYTRYu6bx+tm6caDvPLh9rQ/j+3AH19YRc/OlxLKYHXmVKv9PjZVfSodlu1gmDbeJibW//lgKxMGd0BVXU1Ww0pdy8fXczbzWVI/AxJVkdaXi3ec1NamgixPmsc7eE9ylct7rOGl0Doi2BAEQRCE85zH42LH/uqMVzUG9yziy58cQHFBgJ37a5i1dDdHquLYtkNhjo+rxnVhRL9ixlzSnljCIJowcCkSWQEVlyKjaSbV1fEG+W2KIuP3q3g8LpK6xdzV+zlSGcd2HLKDHsYNbE9eXoCkZpJsooGd263gUV28OndHxt8Pw7R5c8EubpvRJ+Oxte99fLUr07QzLgpSOzn1e1s/1VJdMm6X3GSjxT2HIny0q4Iu7bIaBBu1VbtUjwvPCZPtZNJA08xmA5TTo3bCfnKrBBKkXRnKshzaFwbxeVwNiiWkq3vHHJHDeRJEsCEIgiAI5zsJ9h2OZjTk0mEduetTA1mz7Si/e34lW/dUNTjmnSW7aZPn5wtX92V0/3aoLhldN9GSBmHNbPQpududamB3tDrBy29sZO6qfSRPSNZ+6o2NDO/Tlk9O6kbPzrnEGmlg5/G62H80yoYdFbTGB8v3cOsVveuVjm2OJEl11a5qO1nbjlO3fSZVqdBIu8SuZdlYts3AHoXsOtC6/ISBPYsA2HOo6fEfLN9LnxsGEuHj1QK/X8XjdSNLEovXH2TBuv3URHQURaIo18+0EZ3p0TkX3bBIxLUzlkzvOKkgrCDH2+pzyBLkhDxprzRomoE/oDJpSAfebsXKX8DrYtKQjhhnPDC7cIhgQxAEQRAuAEYGDd+G9W7DXTcM4r2lu3ns5bXN5kIcrozzq38s57LhnfjmpwehHysv2xhFkQmGvHy0q4JfPL2MeBNP5G3bYcmGgyzbeJA7rx3A9DGl2LZT70m7LMssXn8w7c90onBMZ+POCgb2KGzxWFV1EQx5sG2Yt3ofMxeVsfNATd0WpgHdC7lyTCmDehahGxbRSMs9lhwHdM3kyjFdeHXujlb1aJg+qoTNuyubDVYqw6kgQ5YlbNshGPTg86m8PGcbr8/bWff68WYt3U2X9tl85vJeDO3d5ox2K9c0k8uGdeLNBbtaNX5IrzYE/SpVVbG0jrdtB00zuXJsl1YFG5OHdcKlyIRFJapWEwnigiAIgnCek4CQP738BJcic9enB7Ji06EWA43jvb9sD8+89RGBQNOJ18Ggh92Hwvz0yaVNBhrHsx147H/rmLNiL8GQpy6vAECR5ZOqIAQQPtawsDler4usLC8L1x7gtp++y59eXM2WPVV1wVtSt1i28RA//tti7vzV++w/GiUr24fL1fIUKpk0KMrzM/jYCkUmigsCDOndpsU8nOOf8AcCHjweN795bgX/ePOjRgONWjv31/Dzp5by9qIygkHPGavepWkGXTvk0L1jTqvGXzm2lKRmZtRNXUsadGwT4vrJ3TN6r3YFAW6Z1gtNM0XOxkkQwYYgCIIgnOdM0+aSHoX40iiDOnpAMbkhL/9486OMm5y9Onc7NVEN33GJ1y6XTDDoISvbhyTLBL1u7v/CCKYM74QnzXKhj7+yDsty6p3XdhzcJ1lNyu1SaK6IkNutEAh6eWdxGb97fmWLwc2B8hjff3QBO/fXEAx5W9yiZZo2Sc3gmzcOymjrkM/j4vu3DuVoVZwFa/Y3e2x+dqpSlSxL+P0qT7y+gfktjKllO6nv/bKNh/AHzkxVK1230A2LG6f0bPbeNKZ7x5zU6pKW2SqDYVjEYhqfm9GHq8d1SWtMh6Igv/jKGFyKRCzW+oR2QQQbgiAIgnDeSyYNVHeqQlRLpo8uZe22o+w7klmOB4BpOcxcXIZbdaGqLrKyfOTmBogkTN5btof/zdnGovUHMUybr39qIP/48VS+eHXfFoOgWNJkzoq9uI97uu7YDu0LAxlf4/E6tgnWWy05kc+nsrmskr++sj7tbU4JzeTBJ5ag6VZaZWejEY2A182vvz6O9oXBFo/PCqj89M5RFBcEePCJJegtPMG/dGhHkpqB1+umoibBWwsz257kOPCPtz7C7VLOWM+ORFxnWJ82fP7KvmmPaVcQ4IHbR6LrVtp5M8eLx3XicY0vfaI/939xBAN7FDYa7BTm+Lj1it784ZsTCPndRCPJVm2BEz4mcjYEQRAE4TxXuy/96vFdmLV0N1YTSxZ5WV76dsnnN8+taPV7zVqymxun9CQ728fKzYd5fd5OVm890mBCVpTr4/JRJUwfXcol3Qv5yd+XNLut5+3FZUwbVYLbrWAYFqZpMXZge/722gZirdgv36sklw5FoSZfd7lkPB4XL8/ZnnE52HBM550lu/nE+K7EYg1L/h7PcRwi4QQ5IS+PfGcic1buZeaisgaVw9rm+7liVAmXDe+MZdn86LFF7D7UfHPGTm1C9OmSTzicIBDw8N85O1pV2nbfkSjrd5TTvUN2qybymdJ1k2hU49qJ3cgJeZrd8iVLMLxvW7756UG4XTKRZn6GWhKL6alVwG4FDO/TlkMVMZZ/dJhoQkd1K3RuG2JwzzbYjoOumUSimgg0TgERbAiCIAjCeUCWJWRZqqvoc+KkMpnQaVcQ5GvXX8Ij/1nT6DlyQqneBAeOZr6qUWvy0I4APPXGBl75sOmytEeqEjz79ibmrNzHg18ayc/uHMU9f57fZBnXXQdqsB0HRZExDItEwsDnU5k8tCNvzN+Z8XXOGF2KrptN5iLUrgSs+OhQxucGeGdxGddN6obX624xudq2HcLhBD6fyqQhHZk2soTdh8KpcsC2Q362j24dcwjHdN5ftpvXmkjsPtGnLuteV5JVUWRmLdvdqs8C8O7iMvp/ZigxueU8l1Mheazb/PiB7ZkwqAOL1x/k3SVl7DsaxTBsgn43I/q2ZcaYUgpz/SSTBpFw4qQn/6mqYiYul0K2382U4Z2O/V45OI5DLHbmkuUvFiLYEARBEIRzVGPlWGudWIrVNG2i0SRTRnTGpcj8+aU1DSpU1eZAGBn2jKjVpzSPz1zRm+dmbmo20Dje3sMR7n98Mb+5axx3XDuAP76wqtHjHAcMw67b2uI4qdWa6yd3Z/6a/VRHml9BOF6PTrmMG9ieREJvMtiQFZm5q3ZnnLdS63BlnK17qujcJpTW5NRxUlt5iKeuqSjbS9tjHdpdLoV40uD+xxeyc396ZXI/fVkPJg7uSDicQJYlNN3K6Ht0ogPlqepOqW1nZ+Zxfm2vD4/HzdDeRYy5pF291y3bRtdMqqpiGSWEp8M0LaJR0TvjTBDBhiAIgiCcgwIBFa9XxbJt5q7az4K1qQm3LKd6JUwZ3onBvYrw+x3ica3uiW04nGDC4A4M7dOGd5fs5p3FZRyujAMQOzYpzvK3Lhn4qrFd2HMown/e35rRuP1Ho7z43hY+f2Vfnn5jI9WNdRuXwKMq6NrHSdrxuEZWlo+f3TGK+x5fRE205epUJcVZ/OT2kRhmqkt5MNh4YraiyI1eRyYqapKUtG16q1ZTdD01yZZlCZ9PRZYdfB4XD397EoZps2NfNTMXl7Fgzf4GORtBn5vPXNGbGWNKicVS993nUzHtk5uMm8cC0EyTtk+W46RWOZJJA0WRjzVThOxsP1WVMbGN6QIggg1BEARBOMcEg6kSpi/M2sxbC3cRidd/cr5tbzUL1x2gTZ6fm6f1YvLQjkSjGomEjqaZmGYMr1flE+O7ct2kblTUJIknDXweF5ZlM6JfWzbszKxZXl6Wl5H9i3nitQ2t+kyzl+/hc9N7M2VEJ176YFuD1/t1LQCo9wTbth0ikSTti4L84e4JPP3GRhavP9hoTorP42Ly0I7cNqMPEhCJJJq/IAdOtpN1ug0DGxsXCHjwet3EEgZvLypjz+EIhmkR9KkM69OGb900mC9d04835u/krUW7aJsf4PKRJUwY3B5FlolEknUrKo7j4Pe4UGSpyXydlmQFUlvszsQWqqZYlo113GKDCDQuDCLYEARBEIRzSG2vhF89s4wlG5rPJzhcGeePL6ziSGWcG6f2xLZtNM3EslJ7z2MxDY/Hhc8tE/B4cRwH07SZOqIz/5y5Gc1IfxvJxCEdME2bOSv3tupzxZImc1fvZ8rwzo0GG1eOLUXTG/ZPsCybcE2CrICH7392GDVRra7pXlI3CXjd9O9WwKVDO+F2y2hJg0gaKxaWbVOY42vVZ6lVlOvPeEKsKDKhLC9VEY3HXlnf6OrFGwt2UpwfYMbYUm6c2pNPT+mJLEvohoWWNOvyHWoZhoUsSYzo25ZFrWyEOKp/MYZhndVgQ7gwiWBDEARBEM4RLpeM36/y2MtrWww0jvf8u5spzPUxYXCHBtWETvxvWZbIywswaWhH3llclvZ7tMnzs/9oNK1mfU3ZuqeKS4d1QpLqP7XOz/Yyom9xk5Wdalc44nEdn8/N9Zd2x3VcDw7DsFIVjiJG2pNly7SZOKQDT72xsW4LUSY6tw3RpX02NTUtrKAcR5YlQlle9hyK8OO/LW62r8fBihhPvLaBjTsr+P6tQ0kmTSKRj5PGvV43qqrUZVdYls2tV/Rm1ZYjJPWmg8iA18XkoZ3o3jEHv8+FYdpE4gaTh3ao18FdEE4VEWwIgiAIwjmitkLSO0syryr0/LubmTSkY4vVkWzbIZk0+NI1/di1v4Yte6rSOn9WQM1oJaQxSc1EkSVUt4J2bELsdsl8/9ahWLaN1kKzNsuyiUY1QEOSUsnMqSpCrbiWpE5eXpAxl7Rj7qp9GY+fPrq0LshJVyDgoSqstRhoHG/x+oM8/O81fPvmweh6qoqS6nEhSxIbd1ZQfizYKcj20bdLPs88MI0PVuzl5dnbqKj5ODjp2CbENeO7MHFwB2RZZtveKiJxHb/XTY9OuXjcLnBIq7qWIGRCBBuCIAiCcA6QJFBVV6t7JRytSrBhx1H6dCnArSrHJuIADqZhHdt6kzo2GtUIZfn4+VdG89Azy1m5+Uiz525XEGBwzyKOVKX/FL8xtTkjtYGG3+viR7cNp0enXMIZljWtLQHcWpblkNQMbri0O0vWH8wokGqb7+fSYR0zCjQUJVVZ7P9eXpd2oFFrzsq9XD+5G+0KgiR0k//N2c47S8o4esL9KMzxMW1kZ6aNKmHMgHb89Ikl7Nhfw8h+bfnuLUMIx3T+/f5W3lu6p15yvCTBwO6FzBhTyrA+bXG7FaJR0cxOODVEsCEIgiAI5wBVdaEoMu8v35Px2L5d8rlxSk8GdC8kEtdZvP4g4ZiOIksUFwQY1rsNPp+KrpvE43pqW1I4QSjk5SdfGsXm3ZW8uWAXC9ceqLelaED3Aq4cU8qIvsXYtk37wiAhv7tBwnq6+pTmc7AiRm7Iw7SRnZk+ppSQTyUSSZ7y0qbpSMR12hcGuefWIfzqmRVpbafKy/Ly0ztGIwGJRPpBg9erEonrLFx3IOPr7FAUpDDXz+5DYX7y9yVNVtE6Wp3gn+9s5o0FO7n/iyP5+ZdH89zMTdxx7QAWrzvAH15Y1aAcMqQCt9Vbj7J661EGdC/gvs+PIBjynlQDPUGoJTkn81jgNKqoiIokpTOksDDE0aPNdykVzj3ivp2fxH07f53ue+f1uvH5Va69542Mxl06rBN3feoSduyv4fV5O1i47mCDSXNOyMPU4Z25enwXfB4X0UgS69gxqurC43Xh9bhJ6iY1UR3LtsnyqwT9Kppuoh8rq5ub5+eZtzbxyofbM/582UGVf9w/jSNVcdrk+8GhXvBzurR039xuhVCWl81lVfzl5bXsaaZr98Aehdz96UFkBVTC4URG152T6+eN+Tt5+s2PMrp+WZZ47J7J6KbN9x+dn3bOjN/r4g93j6dtXoClGw/x62eXp91TpGfnXH711TEYutVih/TT5WL7W1lYmHkJ5fOFWNkQBEEQhHOAJGVednTswHbcfeMg3l60i8dfWd/k+OqIxn8+2Mr7y/fw0ztH0a4gQLgmNVmu7fkQVzRU1UXIqwAuHMehujpe16EaQNdMrhxbymtzt2fcDG/K8M7IskR+lod4TEfTjHNim45hWIRrEvTomMP/fW8yH+2s4K1Fu9i5vwZNt/B7XQzoXshVY7tQXBAgeayXSab3yu1S2HM488nz8D5taFcY5Jt/+DCj5Px40mRTWRU5QS9/eGFVRvdry+4q/vXuFj5zRS/ice2cuE/C+UsEG4IgCIJwDrBtB9Wt4FE/Tp5uTkGOl2/dOJjZK/by2Mvr0nqPynCSHz22kD/cPYGsoKfeNhnLckgkmt8elUwaFOb4ue3Kvjz1xsa03hOga4dsbpzSk2TSOGtPyptjmjbV1XFU1UWX9ll87zND671eG5RVVcUxzcyT5Gsb5elG5lvFpo8uZVNZJTv312Q0TnXJDO/TlneXlKX183SiWUt3c/O0Xni97hZ/LgShOXLLhwiCIAiCcLrVriCMGdAureMvH1mCYdo89vLajN6nJqrz1/+tw+tx43JlNg0wzVQ1qGsnduNzM/qk1W26Z6dcfnbnaHCcczLQOJ6um0TCSSoqolRVxamujlNVFaOyMnYsr6R11bhqk9kDPndG49rk+RnUs4i3F+7K+D1HD2hHVkBlZgbljY8XjunMX7MfVRXPpYWTI4INQRAEQTgH1JakvWpsaYvHuhSJqSM7M3vF3mZ7KjRl5abDlFcn8Hozm/xCanUjGk1y3aRu/P6b45k0pAPuRoKWru2zueuGgTz0tbG4Fanljt7nENt2ME0Lw7AwTfukql7V0nWLob2KMhrTvjAIwIad5U0eE/K76d4xhwHdC+jZKZe8LC8AnYuzOFge41BFvNXXvGbrERFsCCdN/AQJgiAIwjlC0wy6dcylT2keH+2qbPK4ob3bkhvy8vaizJ94A9gOvLVwF5+5ohek0W37RImEgWnadCwM8u2bh3DHJ/qzeutRonEd1a1QUpxF1w456MdK7mZStelCpesmw/q0pTDHx9Hq9AIvnyc1TWssV6NPaR7Tx5Qyun+7BsHeys2HcRyIn2S/jNix963tZyIIrXFag41oNMqNN97IX//6Vzp06HA630oQBEEQznu6bpHUTH5423C+8/A8Dlc2/lS6bb6fWMJg35Foq99r654qFFkmJ9ePLElYtpPqgZE06iWFN8UwUk/+43ENr1dlWO/jnto7UFMTxzRtZFnC5ZKxbeeirjKZTBr4/CrTx5TyzFvpVaRKHuvj4VVddQFHQY6XH3wu1Ztk35EoT7+5kfXby0loJh5VoVuHHK4YXUKvznkcKG/9zweAx60AJ9fPRBBOW7Cxdu1a7rvvPsrKyk7XWwiCIAjCBScaSZKV5eX33xzPL55exqayhiscXo+rbiLaWgktNf6thbs4WpUg6Hczqn8xJcXZ6LpJMmmgaS2/h2XVz8WQpGNlfH1qgy04H5fRbViJSlUVVNWFJEl1lbkMw0rrGs4XWtLgkxO7sWFHeYuNFIG6pn3dOuawbOMh2hUE+OVXx2CaNvc/vog1W482GLPnUITZK/byhav6cuXYUvxeV0ZVrI5XUpyVVu8RQWjOaQs2/vOf//DAAw9wzz33nK63EARBEIQLjuM4hMNJQiEvv7lrXKMN9yzLwd+KfIvj+bypKcCbC3bVraD8690t9OycyzXjuzJuYHvicT2jpG6fT8Xnc+MAC9ce4MNV+6g6VvEqP8fH5CEdGdW/GL9fJZHQSSYNvF4V1eNCdSvsPxrlSGUcByjI9tKpbRaGYaHrJomEcd4/YY/HdRRF5kefH8Hvn1/ZYoO/w5VxwjGNGaNL2FxWyU++NIpYwuRHf11IdaT5+/LKh9u5alwXLh3aiTcW7Mz4Wl2KzOWjStAvoGBPODtOW7Dxi1/84nSdWhAEQRAuaKmAI4GquihpE+K7twzh2zcNJqmbSJJUt5e/pDiLsoPhVr1Hn5I8EppZFwzU2rK7it88t4INOyv4yicH4DgO8XjLOReBoAe/T+XlOdt49cMdDbpc79hfw7KNh8jL8nL95O5cNa4LnmMB09xV+3l70S627a2uN6ZTmxBXjC7hsmGdyMqu34zwfBWJJAkGvdz7uWF8tKuCNxfsYvH6A5jWx4FUYY6Py0eVcPmoEoI+F4N6FvGZy3sRCqh88/dzWgw0AKoiGovXH2T6mJJWBRujBxSTFVCprIxlPFYQjnfaO4hPnjyZZ599VuRsCIIgCMIpZFo2s5buTrvHxvEUWeLJ+6awbOMh/tLM+Osnd+dzM/qkfd4/vbiaD5bvafG4nJCHR787Cd2wuP/xxew/2nxuQV6Wl5/eMYoORUEU5cIppGnZNoosE43rHKqIkzQssvxuOhSFcHBQ5NRntSwby3Z4e9Eunnw9/f4mfUrz+PXXx/HEaxt4bd6OtMdlB1X+cPcE8rO9ddcgCK11zlajqqiIXtSJZGdSYWGIo0cz72oqnF3ivp2fxH07f51r987vV7l0aCeeeeujjPfkj+jblvxsH28vKmv2uJfnbGPayM5kB9xEm3iaLssSeXkB/vXu5rQCDYAffG4YhmnzvT/Pp6Im2eLxleEk3/+/Bfz+G+MpzPFSU5N+Gd1z7b6dSFFkPB4X7Qv8dVWfYjGN5HGVpPx+lUDAw8wW7teJPtpVyUsfbOULV/UlqZu8u2R3i2NyQh5+escockMeqqviZ20udq7ft1OtsDB0ti/htBHhqiAIgiCch5JJA5cicfeNg5DTaK5XKz/by5c+0Z+12462uAXLcVI5HR7VjdREBz+fz01SM3nlw/SenPcpzaNPaT6P/Gd1WoFGrVjC4KFnl6Oqrguq94Nl2cTjOtGoRiSSJBqtH2hAKiDZXFbJgfLMtzQ9N3MTby3axdc/NZBv3zyYbh1yGj3O53ExfXQJf7p7Ah0Kg0TCSfHQVzglLpzfVkEQBEG4iNi2QzSaZGS/Yr510xAe/vfqFisHtcnz85MvjcK2HX7//Mq03uf95Xv43Iw+eL0uEomGfRvcqou3F5ahHVcut1dJLn1K8wn63Fi2Qziqs2TjQY5WJZg+upR9R6KNVlJqSdnBMB/trKBL+yz0k6zGdV6R4EhV65rzOQ787ZX1FOX6GDewPZOGdGT7vmqWrD9IJGGgumTaFwaZOKQDqltB00zC4YQINIRT5rQHG7Nnzz7dbyEIgiAIFyVdt4hEkowf1J7uHXN4bd4OPly1r66sba02eX6uGF3CtBGdCcd07vvrIqrSSDKG1IpCZU2CkK9h9Su3W8HtUnhv2W48qsLEwR2YPrqULu2ziSUMwjEdRZbICXn44jX9WLP1MJd0L+LpNzY2KH2brjcW7uT7tw4jrujnRbK4x+M6VtIXHAAn1aPkxNWLZjlgn2SK7dY91QzuUURNNE6HggCfvqwHiiJjO6n+KqZhURURqxnCqSdWNgRBEAThPKZpJpYVJy/Lw5evG8AXrurLis2HCUd1FEWiuCBAv64FxBIG7y3bw0sfbCUSz6yzdFJPJS6fSD5u/9afvjWB4oIgyz86xD/e3MiabUfrAgqPqjBhUHs+OakbLkVmdStWNWqt3pIaqyjyORtsSBJ1fUbcboUd+6o5XBlHkSXaFQbpUBTE71frmiJaVvMTfEmC3JD3pK4pJ+TBdhx03ULXW27aKAinigg2BEEQBOE8Z5o20UiSeEzC63UztFcRIAEOquri3SW7eeLV9ehm6ybnfq+r2R4XP7tzNAnN5Ou/nd1oV3NNt5i1dA8VNcljvSIyC3aOFz+2IiBnkqhyBsmyRCjkxQbeXbqbmYvKkGWJ6aNLmDikY13ZYkWRUBQZt6pgGhaxWNMrNbpu0a9rPnlZXirD6ee51FJkifED22Ofo8GZcGETwYYgCIIgXCBsu2FPjOwcP25FanWg0TbfT2Gun3C4YQUo59gWnKRucc+j86mJNt+Pozavw+NWWnUtAOqxsedigz9ZlsjK8lFek+T+xxdRUZPgK9ddwtQRnamoSfC/OduYs3JfXcCQl+Vl4uAOzBhTSl5egEQilSh+Ik0z8PtVpo7oxIvvbc34ukb2KyY76BE9M4SzQlSjEgRBEIQLmK6ZTBjcgWAjORfpuGJUCaZpozXSSVqWZRRF5udPL20x0ADqqk91Ls5q1bUAlLRNjfX7PedcVapA0EtNTOf7j86nvDrBD28bzqQhHfjzf9bwxZ+/x4vvbeVwZRzDtDFMm8OVcf79/lZu+9ksHv73atyqi1Aj26UcJxVczRjThYA3s8+syBKfnNQNw7TO2W1nwoVNBBuCIAiCcAFLJg0UWWbKiE4Zj/W4FaaNLGmy8pOquli95Qh7DqXXD+FgeYzNZZVcMbok42updcXoEo5WxVmy4SDZ2T683tYFUaea263g9bh4+N+rqYpofPmTAxjYo4gHn1jKrKW7sZpJvLZth/eX7eHHjy/G5VYIBj31Xpfl1JYr1a3wg9uGo7rSm75JEnz1+kvo2iEbWZJoonqxIJxWItgQBEEQhAuY4zgkNYPPXN6b7h1z0h4nSfDtmwfjVRUSiYarFi5Xqhndmwt3ZXQ9by/axeCeRRQXBDIaBxDyuxk3sD1vLdzFr59bwatztxMMnhsrHF6vmwPlqZK+HYqCXD6qhL+/up6129JPhl+/o5zHXl6Hz6fW65Tu9brRdItfPbOMnp1y+flXxlCU62v2XFkBle99ZiiXDevE31/dUHceQTjTRLAhCIIgCBe4WFTDsR1+/uXR9O2S3+LxbpfM9z4zlFH9i4lGGy+H6nIpWJbNik2HM7qWBWsPUB3RuPPa/igZJnnffk1/HOC9ZalO5U+9sZElGw7h96sZnedUkyQJVXXx5oJU4HXFqBKqIsm668zE7BV7qIlq+I7b9qa4FBatP8iarUf5wV8W0ibPz99+OIX7vjCcwT2LcB9b6VBkiZ6dcrn7xkE8ff9UhvVuwy//sYy3Fu5i9dajuE4iV0YQWuvsPwoQBEEQBOG0i0QSBENefvmVMSxef5C3Fu5i/Y7yesdkBVSmDO+USljO9hIOJ5sskyrLEgnNzLgvg2Ha/Pb5FTz4pVF866bB/OnFVZhplH794tX9mDy0I795bgXhWGqlxXHg+Xc2Map/MarqOmuN/hRFQpYl1m07ikdVuHRYJ95auKvFJouNMS2HmYvKuP7S7kiShuOkPn9tUvn2fdXc8av3mTCoPdPHlPLgHaOA1Pe1Nug4VBHjn+9s5oPle+q+VxU1DRP8BeFMEMGGIAiCIFwEHAci4WSqNG7vIsZc0o7DFTH2HomiGxbZQQ89O+ciSamk8prqRLMJxY7joLha96R83bZyfvvcCr77mSEUF4zjpQ+2suyjww0CF0mCS7oX8slJ3RjQrZD/++9a5q/ZX++Y3YcifLSrgi7tzl5XcelYMkRcM+neMYeAz83cVftafb65q/dx49SeuFwKhtEw2KstJTxr6R66d8yhfWEQv89NUjM5WpVgw87yVjdNFIRTTQQbgiAIgnCBkSQanWy6XDKuY0+/TdOiIMdHQa4Pxz5Wwjahk0waaU1Ubdsh6HGRHVTTqkR1okXrD/Lf2du44dIe/OjzIzhaneDDlXspr0ni2A65WR7GD+pA+8Iguw7U8LMnl7By85FGzzVr6R7uvnEQUSl5VibZdc0L3QqhY1u6qiKZ98OoVXVsFaM2iHGcVJncxmzbW822vdUtnjM/u/kcD0E4XUSwIQiCIAjnOUlKJf+6VRee45KldcPC0E0sy8bjcePxuDhalWDB2lRegCLLtMn3M35gezyqC8cBWTZb7GgNoB8775Thnfnv7G2tuu5LuhVi2w6xpMbKTYe5dFgnQn4VSYJo3GDNtiP86cVVbC6ravY8R6vjx74P0lnpv2HbqRWgru2z0Qy77lpa7YSxlmkxun8xf/2fi0QjJYhbkhPyMKhHYaOJ/oJwuolgQxAEQRDOY4GgB4/HhW3D/DX72bCjnHjSxOtR6NYhh0uHdcLvV6mOajzy0hoWrNnPiWkWT7y2gQmD2nP9pd3Jz/ITiSQwW2gC6DipgGPGmFL+N2dbg3O2pFPbEH265JNMGhimzf/9dy3/99+1GX76FPtYcHS2Srvadqri1/QxpTz79iYA8rO9dfkSmcrPTq1i1AZOyaRBbp7KhMEdeGdxWcbnmzqic915BOFME8GGIAiCIJyHJAlCIR+SLPHc25t4b9meBpPbD5bv5Zm3PmLC4A7cMq0Xt1zeiy27qzhcGa93XEIzeWfJbuavPcCPvziCHp1yCdc0n7MBqclrQW6A6WNK6yoxpUOW4LYZfTBMC9O0CPpUZImMA5Za2cf6UthnsWedljTpU5pPUjMJxzQmDenIrgMbW3WuyUM7Ypp2Xb6GbTvomsm1E7oyZ+VetCaS9hsT8ru5cmwpum6KPA7hrBClbwVBEAThPBQMeTFth+8/uoCX52xv8il6Urd4d8luvvvIPHDgJ18aRcjfeL+FWMLgJ39fwr4jUQInNJZrjGnaxOM6X7qmP2MHtkvrumUJvnLdJQzt3YZ4TMMwLDyqwpDebdIa35jxg9qj6eZZ2UJVS9dNDMPizmv788HyvVw2vBOeVpSaVV0ylzfSSDEe12mT5+fezw7DpaQ3ffN5XPz4iyMJ+tzE42ILlXB2iGBDEARBEM4zPp8bt0vhJ08sZvu+6rTGHKlK8MDfF5MVcHPrFb2bPC6hmTz+v3V4VBfuNCbLsZiGphl8/9ZhfG5GnyYTmQG6dcjhx7ePZOrIzkQiqbK6pmmT1EyuHNslrc9xorwsLyP7FaO3IpfhVItGk/TonEvX9tkEvG6mjynN+BxXjC4l4HM3yK+wLJtIJMmgnoX8/MujW2yK2KltiF9/fSzdOuYQjTTeK0UQzgSxjUoQBEEQzjOq6mbu6n0tJk6f6FBFnNfn7eS6yd35x1sfEU82PkHfsLOCfUciFGR5Gy29eqJoVMO2HT4xoSufnNiNJRsOMn/tfsJRHUWRaJMXYNrIznTrkINuWETCiXr9O3TNYHDPIkqKsyg7GM7oM31iQldsx0HTzn4+gmnaRMJJ+nbJJ5owuG1GHw5Xxli07mBa40f2K+YLV/UlHtcbDQ4MwyJck6BHpxz+9oPLWLP1CG8t3MXWPdUkNBOfx0WfLnlcNbYLfUrz0Y8d39J2OEE4nUSwIQiCIAjnEbdbQVUV3lpY1qrxs5bu5sapPZk0pCNvLWw6z+LNBbu449r+SNHGy+ieKB7XSSR0PB43Q3oVMXrAx9uqHMdB00xqauKNNgnUNBNNN/nJ7SP5ziPzqKhJr2zsxMEduHZiN2Ix7ZzJRzAMi5qaRF1X83s/O4xn397Emwt2kmwi18KjKswYU8rnpvdB0wxiMa3J85umTU11AlVV6NU5j4E9ihock9QMamoSZ63viCAcTwQbgiAIgnAe8Xrd7D4UZuuezFY1alVFNJZtPMTEwR2aDTZ27q9BliRkWU77ybjjpJLGk0kDSfq4/Gs6W3iikSShLB+//+Z4fvH0smZ7RyiyxNXju/D5K/uSSOiN5iN4PC5cx5oOBoMebDsV8JyJp/y1W54URSIU8vHZ6b359JQevLdsD3NW7K3rBp6X5WXi4A5MGdEZr6qQSDQeaMiylNo6p7pwH9dI0TAs4nEd00wFMY6T6peSTuliQThTRLAhCIIgCOcTCXZnuNXoRHsPR+jaIafZY5LHnoo3V07W40nldciyhOMcq5p0LFHaccgoYdu2HSLhBMGglz/cPYHNZZW8uWAni9YfxDhWhrcgx8vUEZ25YlQpOSEP8bhG7LjE+NSkXMWtKrhdCvuPRNlzJIrbJdMmz09eXoCkZqBrJtoZyPGwLIfq6jiyLOH1url8RGeuOiE3xTAtdM2kMtowr0KSJAJBD16Pi6Rm8vaiMrbuqSKhmfg9LvqU5jN5WEeCPjda0jinVngEoZYINgRBEAThfOJQN/luLd20Ud3N14jxe1MVq04MGE6c0JcdqKH6WG5G2zw/hbl+NN1E18yM+zrYtkM4nEBVXZS0DfHdzwxNXa9hIcsSLkXGtGwM3aSyMlZvlcLtVgiGvGi6xZsLdjFzcRkHy2N1r7sUiZH9ilP5DF3ySSR0otGmtyudSrbtEI+nVmBcLvm4zuBOk/1MZFkiFPKSNCz+/p81zFu9H+2E/Jm5q/fzj7c+YtKQDnx2eh9CWT4i4eRZrcolCCcSwYYgCIIgnEckCYJNlK5NV9DnJpZoPhDo362gwZYcl0smGPKiG3ZqQr+ojIMVsfrjuhYwY0wpo/oX41ZdRCOJjJ62S1Jqom1ZNomEXtcVXDNtbNvBMBr2i3C7FbKyfKzbXs6vnlnWaOK7aTksWHuABWsPMKJvW+65dSihkJdIJL38kFOlpWaJUNtDxUt1VOeHjy1s0BfleIljKx7rtpfzi6+MIZTlJVyTOJWXLAgnRZS+FQRBEITziGnaXNKtEK+aeQ+HWsP6tGHH/pomX1dkiemj6/d6cLlksrJ8bN9bze2/eI+n3tjYINAAWL+jnIeeXc53H5mHYdqEsnxpdfZ2uWSCQQ+5uQECAQ+65VATN9AtB59Pxet111sVqCXLEsGgl/U7ynnwicVNVtg63tKNh3jwySW4VaUukftc4vd7MG2H+x5f1Gygcbx9R6I88LfFSJJ0Tn4m4eIlVjYEQRAE4TySTBrk5alMGNyBd5fsznj8gG4FdCgK8ehLa5s8ZmS/YnJDXiorU8GEJKWaCO7YX8P9jy9usJ2nMdv2VnPv/y3gd98YRyDgJRptegXB71cJBDxU1CR4ac523lu6h+rjtjiVFGdxxegSLh3aiWyvm2gkWVeS1+t1Y1o2v/rHMswMEqPXbSvnxfe2cuNlPUgk9HMq10H1uPjfnO31toGlo+xgmFlLdzNtRGfRxE84Z4hgQxAEQRDOI7VVla4e14X3lu4m015tV43rwu6DYTburGj09TZ5fr56/QCSSaMuJ8LrdSNLEr/8x7ImA40+pXkM79uWrICKLElE4wbrdpTzt9c28M1PDyIe1xqtShUIqPj9Hp5/dzP/eW9Lo5+n7GCYx15ex7NvfcQ9nx3GwO6FhMMJDMNCVV28u3Q3sTRWNE70zuIybrysB16vm0QL28rOlNrv9TuLy1o1fuaiMq4c2wWPx3VGkuAFoSUi2BAEQRCE80wiodOhTYg7rh3AX/+3Lu1xV4/rwsh+xfzunysafb1DUZCf3jEKr1shHP54JUJVXSxef7BB/wu3S+bSYZ2YPrqE0nbZlFcnOFqdwLYdcko8XDOhK0eq4uiGhc+nNijr6vG48Ps9PPHael6bt7PF648lTX76xBJ+9PnhDO5ZRDyu4XYrzFxUlvb34HjVEY1F6w4yvG+bcybYcKvK/7d35/FR1ffewD9nmTNnZjJZSSYskSSALCoqiwQQUGQLKaK3tGJ7tXZvtY8+1ur18enVa2t7e7tp1fv43Nva9aW2tqKVVigWaxUBUbRSQShKwhqSEJLMdubs94+BCITALBkmy+f9evF6GTO/M994jJ7P/H6/7w9v7WpFW2dm+y72tUTwXmM7aoYXMmxQv8CwQURENMBYloNYVEfD7BrIooDHVm2DfZYpjo9dNQ43Lp2EP2zYg7++ffCk79WMKMTSWTWYP60KrusiEvmwo1HyEEG5x5kchQEF//rZGRhXVYLX323G489vx7b3205ajjRmZBHqZ1XjyqlVULzySbMlQPJT/A3vHEwpaBxnOy7+41dv4if3LERAVdDepWFfSyTl8ad6470WzLl0ZMbjn9W1EAAAHt9JREFU+56AA62Z/zwAsL81ipoRhX1UD1F2GDaIiIgGoETChOu6WDhjNC67oBIvbGzEnzbvRUfkw9mDgCpj/vTz8JHLazBiWAEcx0H9zGqMrixEZ1SHJAqoLAugdmQRDNOGaVg99i9IkgjTcvDuCcuuAqqMb395NgoDCr72o1fw/oHO09b4wcEuPPrbd/DUul34xhdmYcSwAMLhOGzb7Q4xz/31g7R/dt2w8cLGRqxcOB7ReHYzElEtubfheNerfBMEpLX35HRS6XhFdK4wbBAREQ1Qum7BsuLw+TxYuXA8Vi4aj+YjMcQTFnxeGaFSP2RJhGFY6OiIw7ZtqKoH51cVoftx1gW6urSTOk+dSBQFaPrJD/R3fHIqSgpV3PXIqzjYFj1rne1dCdz16Kv4wa1zUV6soqtLg6p60NTchV17MzsJ/U+b9+L6ReOheDLvygUA3u7x+Q8aQPIU9gJfdq2NA1m2RibqS2x9S0RENIDZtoNoVEdHRwzxmIHSAi+qygtQFvTC0E0cPRpDJJKAZSVP9dY0E+FwApHjfyKJXoMGkDx4ziN/+EBfPbwQ0ydV4rFV76QUNI6LaSa+9fMtUBQZXq8MSRLx2rbmjH/uo+EE2jo0lBWp8Hkz/+x0VCgI23b6TTcq13Fw2QWVEMUU+gWfhiKLmDYhBCfL2RGivsKwQURENAi4bnJpVSymIxpNIBbToWlm1kuDHMeFzyujosQHAKifVY32Lg2bMggK+1si2La7DYrXA0kSEYll1571YGsEsixi3pRRGY0XRQH1M6vPGLbONU0zUVqo4rJJoYzGX37JSAR8HmgaW99S/8CwQURERL1KLtVysLiuGqoi4cqpVVi7qemsG9J7s3pDI1SvDMd1IUvZPYa4ggDHdnD1nNqMxl82KYTSQrXfdKICkjNVCd3E8rlj0h4rCsDVc2uRSJinbTNMlA8MG0RERHRGhmGhfmY1RlUE4fPK2LqzNeNrbd3ZAiC5PGvEsEBWdY0sL4BtO6gKBbG4bnRaY/2qjBuXTkJCP7lDVn+gJ0xcOGYYPrlkQlrjPnv1hagdUYREov+EJyKGDSIiIjqjRMJAgd+D5fOSn7ZHs5gJMC0HpmXDsR1cOXUUvEpmG7wvGjMMoVI/NM1EPG7g5o9ejMsvGZHS2IAq497P1mF4WQDxLJdy5YJh2IhGdaxcOB6f/siks+7fkCUBN390Mq6eOwbRqN59uvqJJEns7gDm8UgZ7wkhShe7UREREdEZ2baLWEzHFcf2Rihy5p9VCkLywVdPmAgEvJh36Uise31f2tdpmF0D3bBgmjZM04YgAP9yw3RMqtmD1a/uQfORWI8xsiSg7qLh+OfFExEq9SMS0bKe1VAUCaqqQJSE7k3mruvCMu2s9swk91y4uPaKsZg3ZRReeK0J617fi87oh62Ny4pULKmrRv2sagT9CsJhrcdBfqoqQ1E88J6yid5xXRi6hUTCPG04IeorDBtERER0VppmQhQF+P1eVFUGsfdwZgfPjaoIQhQE2LYDXbdw3YLx2PT3ZkTSOC9jYnUpZl40/KQTyaNRHbbtYkndaCy7vBZ/+0crNr97GNG4AVmWMLI8gEUzRqOowIuEbiIczi5o+HwKVJ8HoiDAcV1sfa8FbZ0aXAClhSqmTwzB51Og68mzSzJ5L00zYRg2/D4PPrF4PD6xZDyOdCag6Sb8Xg+GFfvguC5Mw0JnZ/yk9/B4JBQUeCFJIt7a2Yo/vtaIpuYwdNNGQPXg4vPLcfWcWlSFgtB1C9Fogvs8KCcYNoiIiCglsVjywb1hVg02/O1QRtdYUjcapmXDMGxYloOSIh/u+1wd7vvxZsRSWJ5VO7II9352BgzT6rE3QdMMaJoBr1fGhNElmDy2vHu5kGnZsEwbHR2xrA69E0UBwUIVkiiiK2Zg9at78OKWveiKnrwcK+Dz4KppVVg+dwxKi3yIRhIZzSAcb20sCDq8Xg+CqoRCnwzXTc426brZo22vosgIBlW8/Y9WPPbMNrQcjZ/0/XDMQPOmGNZuasKFtWX46iemoLjQh3BYY+CgPsc9G0RERJSyxLHNy6MqCtIe61UkLJwxGsaxpT6O4yIaSaB2ZBF+cNtcTJ8UQm9bCXxeGQ2za/AfX7kcHklENJLo9X103UIknEB7e7S7ZkkU4fMpKCkJoKysAMGgCiXN/SKiKKCw0AdRFPGPfR34yvdewu9e2t0jaADJc0Wef3UPbvneS9i2uw3BQhVyFsvPPmxtbCAa1RGLGcdOkT/5dbIsIRhU8erfDuIbj7/eI2ic6t097fjqj15BW5eGYFCFwK0c1McEN9sG3DnS3h5luj5HysuDaGvLbDqc8of3bWDifRu4eO8+VFzix7t72nH/jzen1QL3c1dfiGVza9FxNHbS/+MlSYA/oEL1ymjv0vDCa01obO7qXvJzyfnlmD+tCopHgp4wET1h30JvFEWCz6dAUWQ0NXfhz1v2oz2sAS5QUqhi/rQqjB1VDMO0ocWNlM7aKCz0QRAFHGiN4u7/3ABNT+18DlkS8a0vzcK484rR2XHmh/9sBQt92N8awV2PvAorjYP9QqV+/Oed82GZFuLx/G+aH2q/b+XlwXyXkDNcRkVERERpiUV1XDy2HLdfPwUP/fqtlB5qr1twPpbPG4NIpOfeANt2EQlr0GQRfjW5P0E64QwO07RhGBY6TjP2dFTVg4ICL7bubMWvX9yFXXs7erxm9at7MK6qGB+7ahxmXjQC0WjijOdtKIrUvcn64affTjloAIBlO/jBk1vxk/+7EKoqI5HIzSGCkiRC9cp4+s+70woaANByNI6/bN2P+dOqgH4QNmjwYNggIiKitJimjUgkgTmXjESo1I9fv7gLb+1q7bGkBwDGVRXjo/PHYfbkEYjF9DOeAWFZzrFZCx2CIEAQkp2d0lmD4fUm9yv8/q8f4PHV755x7O79nfj2z9/ADfUT8fEF58Nx3B7dnD68rgdRzcCB1ig+ONCVekHHtHZoePO9FkweMyxnYcPn86AjnMCWHYczGv/CxkYsmVkNRZH71anqNLAxbBAREVHaDMNCOKyhZngh/u3zM9F6NI4Xt+xFW2dyk3Fx0IsrplShdmQRDNM+bVvWM0k3ZADJtrqBgBcvbz2Anzz/bsrjfrXmPRQFlOR+EiPWo12tKArwemWogoA1G5vSK+oEf3ytEdMnVUKWxaw2qfdGkiW8tHlvxsvQGw+FsfdwGBVFKsMG9RmGDSIiIspI8owLDbIsIujz4LqF4yEfW/5k2w5M00ZXVxyGcW7OcfB6PYAA/HR16kHjuF+8sAPzp1dBVT3Hzrj4kCxLEI7tnH6v6WjG9e08NlYURQA5CBuigPbO3jfOp+JIh4bKEl8fVUTEsEFERERZOnH5Uz4pXhmb/96Mjkj6dUTiJl55+yDmXDKyR9g4sUNTOns1TnV8rJirXqAC4CK75jpszUN9ja1viYiIqN+SZRGq6kkeoqd6oCin/5xUkkR4FRlrNu3N+L3Wbm6C4pEgy723xPV5M/+c9vhYp+8nNQAkN9qXFqpZXaOsSGU3UOpTDBtERETUrwhCsqNUYZEPJSUBBAJeiLII1aegqMiH4hI/AgGl+8A+INk+FwD2t2TeLnV/S/JcDvGUwz5OfPieMLok4+uPH1167Hq5SRu2ZeOKKaN6PavkbKpCQdSMKMro8EGi3nAZFREREfUbsiyioECFJIl4ffth/PG1Rmx7v617s/jwYQHUz6zG4rrRKCkNIBY93uHqw5PCM3X8IfvUg+1M04Zh2uiK6qifVYO/bD2Q0fUbZtdAN6ycbA4Hkof+lZcEMHVCCG+815L2+PpZ1TBNO62N/ERnw7BBRERE/YIsiygs9KHxUBjf/sUWtHVoPV7TfCSGn67ejifW7sQNSydi+dwxEAQB1rGQUeBXEIn33l73TAr8CgD06EYFAKZhoTjoRXmJH7Uji7DnYHrtb8tLfJg2MYRYLHf7WizLga5bWHHVOGzd1ZrWcqiyIhULp5/HLlTU57iMioiIiPJOFAUUBFXsPtCJu//fhtMGjRPppo2f/P5dPPmnnSgo8EIUBTiOi+kTQxnXMH1SCK7rnnbmIZEwIYkiInEDt378EqhK7/s6TiVLIr56/RTYjnPGc0b6gqYZmFBdipv/aXKPGZreFPg8uP8LMyGKwhkPNiTKBMMGERER5Z3Pp8AwHXzz8dehp9Eq96l1u7Bl+2F4VQ903cKyObUpP2SfatmcWui6ddoZAcdxEYvpCPoVjAoFcd/n6lDg85z1ml5Fwj03TcekmjJEM+iSlS7TtBGNJLCobjT+5YZpKA56z/j62pFF+MFtczFiWADRSOK0szpE2eAyKiIiIjqJKArdm6Qdxz0n3YkURcbqDXsQjhlnf/EpVr38Pi67oBKRSAKVZQFMGV+BrTtb07rGBbVlGF1ZiM7OeK+vSSRMiKKAQMCLcVUlePiOK7B6QyP+vGVvj6VbflXGlVOrcM28MSgv9iEc1rqXeuWarltw3QTqLhyOGRcOx8Zth7BmYxMam8PQDRsBn4xLzq/AsstrMH50afKAxi6NXagoJxg2iIiIqLsDlEeR4T2lvaxuWDB0C7pupn2qdyq8XhmyLGLNpqaMxm/f0479LREMK1KR0E189RNT8NWHXkHL0d6Dw4nKilTcdcM06Lp11k5M8bgB23ag+hQMK/bhUw0TcUP9BLyxowVtnRrgAsWFXtRdOBweWYRpWujq0mDbOep32wvDsNDRYUFVPZhxQSXmXjqqx2sSCRNdXRr3aVBOMWwQERENcT6fAp/PAxfAxm2H8PLWAzgaTp5EXVqkYv7UKsy8aDj8fgWaZvT5un6PR0LjoS40H4llfI1X/nYQH79qHLo6NRQWqvjerXNw339vQuOh8BnHVYWC+MYXZqLA50EkfOZ9IsfpugVdt6AoMrxqMpzNuLDy2PkZyTRmmTY6wmefLRBFAa7r5iTEuS6gaSY0zYQsixBFEYKA7n0pnMmgc4Fhg4iIaAgLBLzw+xU8+/L7WPXy++g8ZV/BBwe78MaOFpQEvfinK8fimnljIYoCYhksd+qNKArd4SZTXREdkiTCdV2EwwkEC1U8dPsV2LIj2T73nd1tJz3QXzRmGBpm12DmRcNhWjYiKQSDUxmGBcOwEMGH7XLPFhqOzyApinzSAYW248C2HMRiek5a4yaveW5nV4gAhg0iIqIhy+9X4PcreOTpt7Hu9X1nfG1HRMfjz2/HwbYYbllxMRwn2fmoL7husmNTNiRJOD6pkAwcXRpU1YNpE0Oou3A4uqI6OiIJuC5QEvSiOKhCNyzEYnqfdIhKZWYiEFDgVRW4rotX3z6IrTtbENVMKB4J54WCWDqrBqUlAZimjVhM5+F6NCgwbBAREQ1BoijA71fw63W7zho0TrR2UxPKi31YcdU46LrZJ0txXNdFZak/q2tUlPhhnbIvIpEwEQyq6OiIQ1EkhIp93e/X2Rk/pw/zwUIVsizhybU7sXZzU4+N8Jv+3ozfvrQb0yaGcFPDJIwoDyChmYjH+24GiSgf2PqWiIhoCFJVD3TDxjN/2Z322Gf+shum6UBVz976NRW6biFUFsCkmtKMxsuSgKumnwerl/BgWTbicQPRqI5oVEcsZpzboBFUIQgi/vX/b8TT6//Ra8ctx3GxZfthfO3hV7CzqQOq6oHPp5yzOolygWGDiIhoCFIUGS++sQ+JNM60OC6esPDSm/tO2nOQDdO0YRgWls6qyWh83UXDURhQcn5gXia8Xhmq6sG//2IL3t3TntKYeMLCNx/fjOb2OHw+Dzye1A8QJOpvGDaIiIiGGI9HgscjYf2W1JdPnerFLfvg8UiQ5b55lDAMC5dfPAK1I4vSGudVJKxcMB4J3Tzn7WVToXg9eGd3W9rnfsQSFn69bickSYTP3zczSET5wLBBREQ0xAjHWieleg7F6bR2JMceP/wvW5pmwrId3P/5mRgxLJDSGEUWcfeN0zGqogDxPuyO1VckSYTqlfGHDY0ZjX9tWzO6ojq8igdSlhvoifKF/+YSERENMcfbtNpZbO627eNj+yZsAEAknIDPK+GH/3se5l46ErLU+7XHVRXj2zfPxqXnlyMSSfTLWQ1VlRGO6diy43BG4y3bwfo39sG0+m5/DNG5xm5UREREQ8zxDlLFBV5oemanRxcVeAEkOzv1Fdd1EQlrCBSouPOfp6ErqmPNpia8vasVMc2EV5FRPTyIhtm1qB1ZBMO0EQ5rOTmXoi8IgojDR6JZdew62BaDLAmwzxC8iPozhg0iIqIhxrJs2LaD2RePwO9eSr8bFQBcfvEI2LYDy+rbrk6uC0QjCWhxAz6fByvmj8PKheNP+L4LXbfQ1RWHkcHm9nNJEAAjy65XpuVAEAQIfTiDRHQuMWwQERENMa6b3JDdMLsGq/6yG+l+8C6KAhpm18AwrJQOs8uEbTuIRnUAyZPBBSFZt+O4fTqbkkuu66Iw4M3qGkG/B6blYGD8xEQ9cc8GERHREJRImBhW7MOsi0ekPXbOJSNRUqhC085Nq9nkDIoD23YGTNAAki19q0IFCGVxYOFlF1QinjABxg0aoBg2iIiIhiDLcqAlTNx23aUYk0a72XFVxbj145dAS/TPVrP9ia5bsB0X9bOqMxpfFQri4nHlKAwoMPv5kjGi3uQ0bKxevRpLly7FokWL8MQTT+TyrYiIiChN0UgCggt855bLMX1S6Kyvn3FBJb5982w4joNoJHEOKhz4DN3Ckrpq+Lzpr1y/ek4t4gkTtu32ywMLiVKRsz0bLS0tePDBB7Fq1SooioKVK1dixowZGDt2bK7ekoiIiNIUDmsIBlXc+9k67DscxuoNjXh56/7uk8V9XhlXTBmFZXNqURUKIpEwEWHQSJmmGSgu9uOem6bj/p9shmWnthzqyqmjsGRmNXQjebo60UCVs7CxceNG1NXVobi4GACwePFirF27Fl/5yldy9ZZERESUgUgkgUTCREWxDzd/dDJuWXExNN2CAED1ynCOdYDq7IzDzLK70lDjOC6i0QQmjy3Hv31+Jv79F28gdpa9Lktn1+AL11yEWMKERxQQj+vnqFqivpezsNHa2ory8vLurysqKrBt27aUx5eVFeSiLOpFeXkw3yVQBnjfBibet4FrKN27E5f9iIIAn+qBb4AeLNdf7tuFtWX4xb2LsP6N/fjjxkbsOxzp/p5flTF/WhWWzqpBVSgI3bCgeiRIkohhw/pH/edaf7lvlJ2chQ3HSfaFPs513ZO+Ppv29uwOwaHUlZcH0dYWOfsLqV/hfRuYeN8GLt67gak/3TdRFFBY5MOiutFYOrsG7V0aopoJRZZQVqRCksTuTfeu46IjHB9Q3bf6Un+6b+fCYA5WOQsblZWVePPNN7u/bmtrQ0VFRa7ejoiIiKhfcxwXnR1xiKKAggIvioNelBX5ur9vWQ4s00Y0osFOcW8HUX+Xs25Us2bNwqZNm3D06FFomoZ169Zh7ty5uXo7IiIiogHBcVyEwwkcbY/hyJEI2tujOHIkgo6OGGIxnUGDBpWczWyEQiHcfvvtuPHGG2GaJlasWIHJkyfn6u2IiIiIBhzXxZBdKkVDQ87CBgAsW7YMy5Yty+VbEBERERFRP5XTsEFERERDmyAAoihCFAW4rgvHcdkAhmgIYdggIiKiPidJInw+DxRFhiSdvEU0oZvQExYPqyMaAhg2iIiIqM8IAlBQoEJVPTgaTuB3L+/C27taEdVMeD0SRg8vxNJZ1ZhUUwbTtBGL6TwokGgQY9ggIiKiPiEIAgoLVeiWgwd/vgWbtx/usWSqqTmMv751AOdVBvGlayfjgtoyRCIaDIOBg2gwylnrWyIiIhpagkEVMd3CHQ+9go1/bz7j3ox9hyO49783YvO7zSgIqpBlPpIQDUb8zSYiIqKs+XweyLKIe/9rE5rbYymNsWwX339iKxoPhuHzKzmukIjygWGDiIiIsqYoMl7bdghNzeG0xpmWg9/8eRdUr4ezG0SDEH+riYiIKCsejwRFkfHH1xozGr9lRwuOhhNQVU8fV0ZE+cawQURERFlRFBmtHXHsaDya0XjHcfHnLfsgy1IfV0ZE+cawQURERFkRRQGtR+NZXaOtU4PEZVREgw5/q4mIiChr2Z4K7jguhD6qhYj6D4YNIiIiyorruigpVLO6RnGBF7adXWAhov6HYYOIiIiyYpo2qkJBVIWCGV9j3pSRsCwe7Ec02DBsEBERUVZ03YJp2Vg6qzqj8ZNqSnFeZSESCbNvCyOivGPYICIioqwZuoUF089DcdCb9tiPXjkOhmHBNDmzQTTYMGwQERFR1jTNhCgKuP/zM+FX5ZTHfXLJBFx2QSU0jbMaRIMRwwYRERFlzXVdRCMJnBcK4nv/aw5GDAuc8fWqIuFL116ElQvHIxpNwDCsc1QpEZ1LqX/0QERERHQGtu0gHNZQWRbAf/2fBXh7Vyv+8Foj3trZCst2IArAqFAQ9TOrsWD6eVA8EiKRBPdqEA1iDBtERETUZ2zbQVdnHF6vjEnVpbh0fAUAwLRsSJIIURBgWjYM3UJHNJH1+RxE1L8xbBAREVGf03ULum5BlkVIkghBSB7Z5zgODIMbwYmGCoYNIiIiyhnLcmBZTr7LIKI84QZxIiIiIiLKCYYNIiIiIiLKCYYNIiIiIiLKCYYNIiIiIiLKCYYNIiIiIiLKCYYNIiIiIiLKCYYNIiIiIiLKCYYNIiIiIiLKiX57qJ8oCvkuYUjhP++BifdtYOJ9G7h47wYm3reBifdtcBBc13XzXQQREREREQ0+XEZFREREREQ5wbBBREREREQ5wbBBREREREQ5wbBBREREREQ5wbBBREREREQ5wbBBREREREQ5wbBBREREREQ5wbBBREREREQ5wbBBREREREQ5wbBB2Lp1K1asWIHly5fjU5/6FA4ePJjvkigNDz30EB555JF8l0EpWL16NZYuXYpFixbhiSeeyHc5lIZoNIqPfOQjOHDgQL5LoRQ9+uijaGhoQENDA7773e/muxxKw49+9CMsXboUDQ0N+NnPfpbvcihLDBuEO++8Ew888AB+//vfY9myZXjggQfyXRKlIBKJ4J577uF/iAeIlpYWPPjgg3jyySfx3HPP4Te/+Q3ef//9fJdFKXjnnXdw/fXXo6mpKd+lUIo2btyIDRs24Nlnn8Vzzz2H7du348UXX8x3WZSCLVu2YPPmzXj++efxzDPP4Fe/+hX27NmT77IoCwwbQ5xhGLjtttswYcIEAMD48ePR3Nyc56ooFevXr0d1dTU+/elP57sUSsHGjRtRV1eH4uJi+P1+LF68GGvXrs13WZSCp59+Gvfddx8qKiryXQqlqLy8HHfffTcURYHH48GYMWNw6NChfJdFKbjsssvwy1/+ErIso729HbZtw+/357ssyoKc7wIovxRFwfLlywEAjuPg0UcfxYIFC/JcFaXimmuuAQAuoRogWltbUV5e3v11RUUFtm3blseKKFXf+ta38l0CpWncuHHdf93U1IQ1a9bgqaeeymNFlA6Px4OHH34YP/3pT7FkyRKEQqF8l0RZ4MzGELJmzRrMnTv3pD833XQTgOQMx9e+9jVYloUvfvGL+S2UTnKm+0YDh+M4EASh+2vXdU/6moj63u7du/GZz3wGd911F6qrq/NdDqXh1ltvxaZNm9Dc3Iynn3463+VQFjizMYTU19ejvr6+x9+PxWL48pe/jOLiYjz22GPweDx5qI5609t9o4GlsrISb775ZvfXbW1tXJZDlENbt27FrbfeinvuuQcNDQ35LodS9MEHH8AwDEycOBE+nw+LFi3Crl278l0WZYEzG4Q777wTo0ePxkMPPQRFUfJdDtGgNGvWLGzatAlHjx6FpmlYt24d5s6dm++yiAal5uZm3HLLLfj+97/PoDHAHDhwAF//+tdhGAYMw8D69esxderUfJdFWeDMxhC3Y8cOrF+/HmPHjsW1114LILmW/Mc//nGeKyMaXEKhEG6//XbceOONME0TK1aswOTJk/NdFtGg9Pjjj0PXdXznO9/p/nsrV67E9ddfn8eqKBXz5s3Dtm3bcM0110CSJCxatIiBcYATXNd1810EERERERENPlxGRUREREREOcGwQUREREREOcGwQUREREREOcGwQUREREREOcGwQUREREREOcGwQUREREREOcGwQUREREREOcGwQUQ0hD377LNYsGABYrEY4vE46uvr8dxzz+W7LCIiGiR4qB8R0RB3xx13IBgMwjAMSJKEb37zm/kuiYiIBgmGDSKiIS4ajWL58uVQVRWrVq2C1+vNd0lERDRIcBkVEdEQ197eDl3XEQ6H0dramu9yiIhoEOHMBhHREGaaJlauXImVK1fCcRz89re/xVNPPQWPx5Pv0oiIaBDgzAYR0RD2wx/+EMOGDcPHPvYxXHfddSgpKcGDDz6Y77KIiGiQ4MwGERERERHlBGc2iIiIiIgoJxg2iIiIiIgoJxg2iIiIiIgoJxg2iIiIiIgoJxg2iIiIiIgoJxg2iIiIiIgoJxg2iIiIiIgoJxg2iIiIiIgoJ/4H0QTAb/knb+oAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"scatter = sns.relplot(\n",
" data=blobs_df, \n",
" x=\"x\", \n",
" y=\"y\",\n",
" hue=\"cluster\", # color by cluster\n",
" kind=\"scatter\",\n",
" height=7,\n",
" aspect=1.5,\n",
" s=300\n",
").set(\n",
" title=\"Blob Data\"\n",
")"
]
},
{
"cell_type": "markdown",
"id": "148cf6cb",
"metadata": {},
"source": [
"## Picking the Right Value of _k_\n",
"We may not know the correct value of _k_ to use in a k-means clustering. However, if we can measure the quality of the clustering for variouss values of _k_, we can usually guess what the right value of _k_ is. If we take a measure of appropriateness for clusters, such as average radius or diameter, we expect that value will grow slowly as long as the number of clusters remains at or above the true number of clusters. However, as soon as we try to form fewer clusters than there really are, the measure will rise precipitously. \n",
"\n",
"The K-Means algorithm aims to choose centroids that minimize the _inertia_, or within-cluster sum-of-squares. We want to choose a value of _k_ that also minimizes _inertia_, but not at the expense of choosing an unnaturally large number of clusters. _Inertia_ can be recognized as a measure of how internally coherent clusters are. It suffers from various drawbacks:\n",
"\n",
"* Inertia makes the assumption that clusters are convex and isotropic, which is not always the case. It responds poorly to elongated clusters, or manifolds with irregular shapes.\n",
"\n",
"* Inertia is not a normalized metric: we just know that lower values are better and zero is optimal. But in very high-dimensional spaces, Euclidean distances tend to become inflated (this is an instance of the so-called “curse of dimensionality”)."
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "35aa6c02",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"72.47601670996697"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"result.inertia_"
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "0a88d05a",
"metadata": {},
"outputs": [],
"source": [
"dist = []\n",
"dfs = []\n",
"for i in range(1, 8):\n",
" km = KMeans(n_clusters = i, init=\"random\",\n",
" n_init = 10, max_iter=300,\n",
" tol=1e-04, random_state=0)\n",
" result = km.fit(blobs)\n",
" \n",
" dist.append(result.inertia_)\n",
" \n",
" blobs_df[\"cluster\"] = pd.Series(result.labels_).astype(\"str\")\n",
" dfs.append(blobs_df.copy())"
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "5ff645f6",
"metadata": {},
"outputs": [],
"source": [
"idf = pd.DataFrame({\n",
" \"k\":range(1, 8),\n",
" \"distortion\":dist\n",
"})"
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "55351797",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"scatter = sns.relplot(\n",
" data=idf, \n",
" x=\"k\", \n",
" y=\"distortion\",\n",
" kind=\"line\",\n",
" height=7,\n",
").set(\n",
" title=\"Distortion\"\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 40,
"id": "632d426b",
"metadata": {},
"outputs": [
{
"data": {
"application/javascript": [
"IPython.OutputArea.auto_scroll_threshold = 9999;\n"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%javascript\n",
"IPython.OutputArea.auto_scroll_threshold = 9999;"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "79a1f2b7",
"metadata": {},
"outputs": [],
"source": [
"for idx, df in enumerate(dfs, 1):\n",
"\n",
" scatter = sns.relplot(\n",
" data=df, \n",
" x=\"x\", \n",
" y=\"y\",\n",
" hue=\"cluster\", # color by cluster\n",
" kind=\"scatter\",\n",
" height=7,\n",
" aspect=1.5,\n",
" s=300\n",
" ).set(\n",
" title=f\"Blob Data ({idx})\"\n",
" )"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "5f35b01f",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "ce79a261",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "12b68f7e",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.12"
}
},
"nbformat": 4,
"nbformat_minor": 5
}