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@gihyunkim
Created October 11, 2019 05:18
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 1. Clustering\n",
"\n",
"Unsupervised Learning의 일종\n",
"\n",
"### 1.1 분류(Classification) vs 클러스터링(Clustering)\n",
"\n",
"- 분류는 supervised learning이며, 사전에 label이 이미 주어져 있는 데이터를 다룬다.\n",
"\n",
"\n",
"- 클러스터링은 unsupervised learning이며, label이 주어져있지 않는 상태에서 train을 통해 컴퓨터 스스로 서로 비슷한 데이터끼리 그룹으로 묶는 것을 말한다.\n",
"\n",
"\n",
"**클러스터링의 문제점: label이 정해져 있지 않기 때문에, 정답이 없다. 즉, 결과로 어떤 그룹으로 나누어졌다하여도 그것이 정답이라고 말하기가 어렵다.**\n",
"\n",
"### 1.2 Discrete vs Continuous\n",
"\n",
"1. Discrete : 값들의 유한한 집합을 가진다. 주로, integer 변수로 표현된다. \n",
"\n",
"\n",
"2. Continuous : 특징 값으로써 실수를 가진다. 주로, float 변수로 표현된다."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('./image/matrix.PNG')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 1.3 거리 측정: Minkowski Distance\n",
"\n",
"- 거리를 측정하는데 쓰이는 방법.\n",
"\n",
"\n",
"- 일반화된 공식이 Minkowski Distance이고, 밑에 식처럼 각 x값들을 뺀 뒤, 차원 수만큼 제곱을 하고 그것들의 합을 또 1/p승 한다.\n",
"\n",
"\n",
"- p = 1일 때, Manhattan distance라 하며, 실제 사람이 걸어가는 것을 반영한 것이다. 즉, 장애물이 있으면 사람은 그것을 넘어가는 것이 아니라 좌표이동처럼 이동.\n",
"\n",
"\n",
"- p = 2일 때, Euclidean Distance라 하며, 일반적인 두 점의 거리를 구하는 공식이다."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('./image/minkow.PNG')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"=====================================================================\n",
"길이(magnitude)와 방향(direction)이 같으면 같은 벡터\n",
".\n",
"벡터의 곱셈 : 내적 -> 결과가 스칼라, 외적 -> 결과가 또 다른 벡터\n",
"\n",
"=====================================================================\n",
"\n",
"\n",
"### 1.4 코사인 유사도 : Cosine Measure (Similarity vs Distance)\n",
"\n",
"- 두 벡터 간의 코사인 각도를 이용하여 구할 수 있는 두 벡터의 유사도.\n",
"\n",
"\n",
"- 두방향이 완전히 동일하면 1, 직각이면 0, 180도로 반대 방향이면 -1이 된다.\n",
"\n",
"\n",
"- 즉, 1에 가까울 수록 유사도가 높다.\n",
"\n",
"cos(x,y)의 분자는 x벡터와 y벡터의 내적을 나타내고, 분모는 x벡터의 크기(norm)과 y벡터의 크기의 곱이 된다.\n",
"\n",
"**상호 상관관계를 가지는 feature를 갖는 원소들 간의 유사도를 계산할 때에는 좋지 못하다.\n",
"**다양한 차원의 유사도 구분에 쓰인다**"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('./image/cosine.PNG')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 2. 주요 클러스터링 접근\n",
"\n",
"### 2.1 분할 접근(Partitioning Approach)\n",
"- 여러 분할 구역으로 나누고, 적절한 기준으로 그것들을 평가.(예를 들어, 거리 cost를 최소화하는)\n",
"- 예) k-means, k-medoids\n"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('./image/partition.PNG')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 2.2 계층적 접근\n",
"- 적절한 기준을 이용하여 데이터의 집합의 계층적 분할을 만든다.\n",
"- 예) Agglomerative, Diana"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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1IIlDS0N13hKv8ePH4xOf+IQhXd///vfNUKUwadIk83bl5z73OTN5/8tf/rKZ5K9zLBHTvoY3G+qRlrYoRvH1tG+lTeGsZIz5NA42h9p8DHWIY2/0BP7hB3+BA6XbEUmUhySnIPkUG3lpEtEMPXOKqSR5vj5m0JAkNbcU5eEMEQmzx0nCTH4o4hl6R1ZSQhbRa/iTeGTiQNTkE+QdIRlju7V9kzGJKqaV+srtZZHig/T9o4Zh66PG9DB8jqRdqhn8aUUblY8krD4KcXDoOKC5YNulHH4qg8osGzReHfJeivrDY+ndDMuaty39VAxBNsoGahZphuXZsPFTtaYRJF20DsKhmSBCJWL19tuhPPxwKF270lrSXBbLtdeePi7R74ZxdJ6OjRkTprdtmyNtzQDVeemAesZefPFF05v1/PPPm08ZCStWrDDDlceOHcPEiROxadMmHDx40PgsS8as/ui3wpWewpWGtlbHBG3tNdskzkbGCo42z2PqGZNsrzmEr9z9b9gc/wjH6azjjBLjbYpzqXNMn2TT9Hf9FukRF7IjXS0lhgJcgGSZKeWtjjbySBDFLU/ehR6DH0V1LkIy5iPDCDnNlWPcwiNs86C1uDCoMqoCS7RfL14AcmwgXoqkKoCecLbWPFwN3dazr0Jhhn9Y2U0fgQ44OLQfWONt92XsbZjRnSxNXY6EzCMtyzFMQ5Bs0OTNZNsaY2jMS0A0Njm29niGaeTm81oKJlzE0joGu3W4ANBR15OugQNPky1LsKZPP02ebM/XhcJeQ7J48WlyZ0mbrqnrrF0bxnW4IFi9stBvwX6X0uqatnatMdsjJrGw59n477zzTv15DdFYWJvA2ciYjIaxKYEZotQkfs0Z+0bPb2Nz7S5UMDTFxmCaTlpvb6dpS9J5DV7mkOG9erJNTEzblhS/iRIURHPzM7xX5bWMDdTbe/fEvcMeR1W2Ch5/Z2gztdi8FpkPF5pv+7hgMibI+Kt7V68Q21aFKq8lZqrwtuWh39o2FAeH9oziem71Qr+lK9IN6Y10yO7ruHUsTj9aAOqNEulRD5UlQ5Z0KfxiyNaloJgMKh/F5Mz1nLUapIciY9peUTgXGdOtFHrGNIF/R81h/MsdX8Pu6E7ESMZ8n+d5jCd+qqUNcjqbP2SHdL6GChXegpJmJhsTEa7GhH9AhkHSlUV5Lopbn+6K+0c8iqpcBcPjzHKUjViNbaoRfJp4t2VcNBkT+VI3sNZ40SvAejVYYRI5FYmcinVCDg4dCarztt5bfdFWYhsvImLadzrSAhDZKSZfV18d9oCph6qtkh31wim/yqvyrLxqXprDZYN0sUOQsW5Xk4xtIW2pJhEjaclozirj+WQ5WTNBi+dxX7PgtfCh5n63pOhajQrz1ZhkyDVIubx8CmX5atzS+3bcO+oBVKGUtxHhXdaaEQUxyZCUtX1cEhnTuLxWPRYR06J5ChdBE4pb+Vas43FwaO+wdV5QnZeoB0xvctnfEkvMdMzGd7hIiLiIwNghR/U4tWXydS5YYqb70PZy99x1UEgnOwIZ+6ce/4St8a2o4b9MkDafXtNJuRwbiDn+zid5aob7PnJZ+nsSoJYUZC9QMlmSLq1TmkJpvgY39e6Ee0Y9RDIW9oxl1DNmpnOwERww/hWAiyZjatUPHjzYvFKs9VzkZDTsUky4tCCfjlnROYJzOg7tHQ3JmMiWRK/WL1iwwEw41oRiO0Qp/Sk+R9srziG0BooJmHqURFxEZNrLHCzdn4YydW8il46UtSikc46MOTLWGrhgMiYnIcIlefTRR/HUU09h1KhR5lVikTFVYtvSLy8vx9KlS823vvSGio5bZ+Pg0J7RkFiJbKnXWDqjb+Tt2rWLfvXAGQ0YidUvu1+cjkMBdgiyIQFrz9A9W1Km+xVJc2h2SO86Ahn7u17/jA8T21CGWsT1DVz6bCHHM33GySBl/vrm1SFN0QpaVMxaWI2KSGIj4rGBy9yl+a8kX4sb+3TB3aMeIRWrYniSaSaQJ5FU5vPmDcK2j4smYyJbTz/9tHEo+j1ixAjT86VKLDKmeHZfoh60eFyvWDo4tH8UkyjpgXRk48aNRmcqKytRVlZmwkTStLV6ZXuR1YOmrdUlB0K9QnboTvO/OuJbiLpflYFImXoEHZoVHYWMfaX7N7A9tothMeiNbgYXJupL+FtzxfR6pRYLVZhMUAsKr9aoeDzYmPAPs5wn7criZD6OG/r0wF2jnkRZXvPFaFeZaTNvXwWh7RWAiyZjchJDhgwxPWKaLzZ69GhDxhSuimwdkOIrTL1jsVjM7Ds4dCRID9QDprmVN910k1kXqUePHuZDxNIHHZfuKI4+7aKGy7vvvos5c+aY1/SvOMfQnBD5EOnQhHaJeodcr1BITFUeGrrsaIS0BdFeyZjWGdPSFoaMVZOMdfsqdsR3koxFkSP5yot0if3oU2tZ+XAPOW7z5jfDC6SppcTm+eOi+yGHEI/I5+olw/sKgtBuluaj+HH/7ug8/nGU52vJJclDlH89Qt17RyBjp06dwsiRI02vmByNessUbkUVWkMzCl+yZIkhY66V79DRYBsmH3zwAZ577jmzr2HKgQMHGt2wk/otMZOOSKQz6k2+4hzDWSDjWrCPxgaHkLWUgSVhZQyfwqYcUF0NjB4DfPlq4KGHkaN9KT5fIgOdpWjfmBWJfhRbc+NgKPZ4Y1KUqNKh/zE+rD4Z7VNM0oygUQ97zDa+GVT4G0r4r0HC4f8wncL2klDcS+bmkjULpGvtlYzFkCId87C9+hDJ2D9jZ2IHqVjU2Bqtb2gqc476l5cWShvpw6mbRrdaGcqjnokVUkjojUqkMqjI1eEHQ+7ADS88hqo8G2pmKNMzty6FMyt1XAG4YDJmYQtHDsQOTzaEdSpyMIsWLTKOxYY5OHQkSE8OHz6MTp06maH9qVOn4oUXXqjXHasXVqQz+rZee2rAGL9QEHNLRuQpZEdo/j2a/737kB892gxF5knGslU1ZtQky5MDsqQsT5Zo4cccy0hl5/PcfMBy1JaWN8sWfUDxjJDgaVJyXsa5cfFyajwqHsmwcUZMI+Axnu/zfHNNX3H04hLjSLgfKE/0B4wS3gb/8UmG//QcZRMlxqHxmO6dt6ytCJ+2zQIN12roVluHS4LqkyNjjoy1Bi6JjJ0P5iFTHBlz6OiwPcX67t3w4cPNJ1pKSkoMGdMx6YSOS1f0WyIy1q7mWRom0kAKBjO/9wDwwMNhT9ist5FLpkynlqaySLKBXg4SyfJIurT+EA2xxh9EtLwU6vJRZHJxGuAEDyWQ1WekWHZ+jPt1tDs1JLVnEb82hnQkimyUkmFYLgEvH0eK6XnZJK+dpkH3zLU0KTh844zCfFgyxkfHZ8it7kX3xTCFa9qNOaY4vCEzZFIIazYyJmj5DvWQOUJ2SZAOOjLmyFhr4KLJmC2UcxEr85Apjow5OJzWGQ3d2x4x6YbViWLRcemM5ozpd7uAjKJ8nIS3pNvK7z+AvOY9kUhkCyRMB/JkKnIENKkwH4PKJ2lUKX4SefUWxpNAXQr5YxXIbtiNyjfnY9e4F7B1zDhsHzsB28eMx/bR3B81DjtHj8fu0RPPKntGjMNuyp5RE7BrJM8ZMQY7h4/DsRdeQe3s95D/cCdwqhr5CK8fJ9nLJEnC4syPchbQ6Ito8+bM+Kaesz4rA/NZOLOwOUXETHOiDYdkuOI0KxkTHCG7ZEgnHRlzZKw1cEk9Y1bOBnvckTEHBznkcFjN6oDtLbO/i/WiPZKxQPcv4yipqUH+oYcMeci9/Ta8ZALpbBo+/3lmfaM08iRe2UQcmdoY8NEpRBa8j20TXsKOUS+QYL2ALSNIpia/jBoSJqzbCxylIa6IA7UUkiakWHYZ2hwRuIDpnUVyjJNLM656Iet4XiXlFK+5pwRYvwuxBSuwY9IMbB45GXvGTcW2EZOw/4VXkVu3FSjjNSM8LxbhDZJkM99pOrJkjqJhTj474xx5z2Zo1WxJMk1ZtMBzdYTskiB9dGTMkbHWwEWTsabAOhhHxhwcLgztkYyZb8lVVSI3ZjQJw5eRn/UWcpE65AIfgZ+g0YzDT9bBj0bh796L0tdnY+/QMTj8/DgcfulNeB9sB0pJ4mIkVyRp6iXzgzgCfUidNsb0MsryWtFvE3Ym4W0o6tWSyGFpvpheJvD4O0PxczTqzFc2ELHjdaMxZEnYcsfKEVu4CnvGT8b24WOwecwEHH9jFjI7dyOoo4NL0l0kIgg8n1kR6Q5IwgKmSbKpdOnkfIa3CCwhc5P6LxiOjDky1lpwZMzBoQ2i3ZGxVArZWbNCkjBqJFBeSmOaBpIJIBFD/vBJVE6fjQPqfRo1mcTmHWR3H4BfS7IWraV9TZFUkc7RUeQ8phWkzbwtkRxJkpfQF+jMUkksLjNiSCMsQ2zmaZ1D5HftG5Q6XwtFaKZejJIWkaJxt/PEzEKSNPT5LJ2V5q6lGStFQkiSltv7EUrfnItdwyfg0LNjUf3Gu8CpSiYURRAkUEtSl1DfHzOWy/BiTKrFoJ4xlXU7Wfaiod+QT5GOaDkYfelFQ//qadabyfatfu0L0iHbK10sxenZfYVrXqe2whWje46MOTJ2LpiHTHFkzMHhwtCuyJhWx9eaWA89jPzR4zSiNJaJJPIVFdg1cya2jxqFvS+9hsyO4/CqSbQSaeR9OlQaVZ9MSr1JenNRy0qETlWGWfuSHEmRhv1IpCiaMC8yJr8irmOEcX3GPZtY58Vdc76vtJiAbL05zvP1Jmf49iSvr2syL4FPEsj9FJ2DT2fHGMiRJPq0c+kakq+NW7FlwljsnDQJpbPfRepYFVKRDNIpHzUkY3W6SEtCy15oPl47g/Uhcsra6kWYaDRqCJnCtFW4Fk0WMbPErbS0tP48e66F3Ve4I2OOjLUGHBlzcGiDaLNkzBh9WXcrzFtBzCR2HQ8CHqIpr64MJ+dfew1ya9cAdREgGkfVhk34YMpUrJ/6EtIfHWZYDD4daJLUieY/vF8mLUMqg6pJ8PppxZAybYukfqdwHv+HcSnMDVM+uyiuwZknGZFPLk46XNvM7pNT8iT1pum4yTZP8OjMknmPQsKZjSGv+WRb9+L4hJexeehYlK/7ALV1NYilEjyRxJO5SDE+KQRTIXRtk6D5VX99ew1b3ueFesVEgtvZSv3F+lDsT+xWPWIiYoKeh5aHke8RFMc69IbpCAp3ZMyRsdbAJU3gF8my28ZgHnLhuFYVd4u+tmXoucgAhc4pSyUMqJQBldfLp6iYrNyUIJdiuD4iq7AMz/CpsGE9OJc4XBjaLhkTQ6G+G2F90Yx05U/C31kSsYR6tN58g9blKgRTJyNbXoXgcDk2vTQNH44aiaMiB1rUNUmy4muVb9WRQvpXHIoyrt0iMXWfZSJHaNa1SJMQRGpRseJ97Bo5ErsmTwNOlcIjYYtkE2bCf5bxU2SfOU+9baFTlVOxw6gqbrPQbVMLTPPG2tFwpVBsV6Qn6v2S2OHIatYtbSORiAmX37E+SvGtQy/WK7uvcEfGHBlrDVxSz5itsIJ5oEUi2IJzZOxKgJ6LnqfUOdzTZyfUyqeLgM8abQiavrKf11f9LRmTwoZkTLDP3OHS0HbJGPNCsXpe+GnqjBZnTR47gWzXzsh26Qzvo4PAzkPYPXwCjk6eCv/UiXB+WCJKI6r1wApDkTz3CrGX54FKoUjEnIyD4y8WknlRQGQgSlKWpA6VVGDn5FdQO3MR/LI4/UcKMTZ2IkGSfiZt5q1pjbVQGSksJCWpMJVZk6HveGrIsh1BNsaux9evXz/ccMMN6N+/vzkmP6N5ZCrzBQsW4Mknn8S0adNw8uRJE9/aqGK9svsKd2TMkbHWwAWTMVsoqtSaPKl9Oy5fXFjFhae4joxdOdAT0qrmHpvjGXrYeMZHTa3eXGPjXi3RrMhYmgQtzeMpZHwqLp+/nnPx1op75heOtkvGwvohV2WNvvYl3qw3kb/6ywheex3ZkhjKZ7xLmYVYRQnyXpUhXmZ1/BwJmIgYHYSGCdM8W0OJVyTqs60dlYY8mmVOLBXj4Pifh7XMRYpKpOFN39c8NOpJkgRs0yEcGjYdFTPmI1UZ48EEyyheKJfCycap0qbq3MKVmgwN2WmF/iv4m57SgWI9kF2R35Ff+d3f/V3s3bsXd911F6ZPn27CBQ1NXn311Rg3bhy++93vmq9e6Fixj7Kw+wp3ZMyRsdbARZGxho5WpKy4xWHFxnFk7MqCnpBHMpZMB0ikc3hv8QYMGvgCjVsO6UweeiVfRMxnK97LZgwZO3r0qPn24okTJz5WDzriM9c9WymGykOweiEUx7UiMiadaYtkTLZNOZd4vIc8nzk6dUK+cydkjh1C7dL1OP7ci0juPMY64tGsa6ibovgUkQmzbATvS3OwtMxDk4fd2hrqs63nSmqZpy1kY0W/Td0ne8qrR5nHTBnkpTu0jQw3Lx6QmCYouVQayY0HcPDZyYguWgkk1XvIdPQig15iYKl7vJjImCn4C3Uw6hkjUWkPkD5If6QjS5cuxRtvvGF0ac2aNfjKV75i4miIcuHChfjCF75gjine5z//efNMdK5969KiqqoKx44dM/ZrxowZZl+fL9PLATae0mlTulgMR8Y6JhlTpVQFnT9/Pn784x/juuuuw+rVq41yCDpWTMQk6i5WS8UYqLZaoTs4bEXX0yEXQyKZx4qVO3HjjY/htpv74pUZy1Bbm+KxPElaDGkvQX1IY/n776Nz584YNWqU+fi13mzSM1dabdqAtSCMgSuIYMtCDRfrCHTMbq2+WJEuyZnYl17aDJgV0Q6ZfT8g+Xhvoel1yb/yCnD4KPaMGo3jy5ejNlqFlHrAGF82Xis5aGt5hEiFuS2JEtT2SkR9vkMylvE0uJhDhg2ZWCyNWDKDlB/2Imf1FYGA5FpLYtCJZCnpDAlaJo1UkEQsiCMSjyCyagMOjJiCyO5D5oWHTDZFR6rlO1hPdJkLHqck1CvWTuaOWX2Rjmg4Uvva9uzZE5s3b0Z5ebk5ph6xb37zm0bntmzZgv/1v/5X/SfI7JIY0km9ffnRRx9h/fr1pkE5aNAgs7927VocOnToDL9m/Ze2bQqOjHU8MqaCUKVUZX799dcxc+ZMU2H19opVElVwVWDtC9q6nrG2Dy0XYCo9H5HH+rxs2VZcf92juKfXePS8YwJu/EVvvPjCfNTWJZHQ2kp5OhovhSeeehJlZWWmTlRWVprnL8Jh60JHfOa652JROVjiJVH5KEwinSqOK1Fc24DR7zYDZoU5RF7rgz30IPBf/wns34+97y3GgVfeQK6igvcWRYTkIyUHQZspM6Bb0F1YOeNHfeAViPp8yznL5vlIJSmJAJMmvo2JL8xGPBlQX7SobYpOj1stcJtJwuczLikpw871G1F69BiSmRTiLDfPTyJeGcO+N+Zgz4JFyPHcTOCZHjX+N59UuigHozdb28HK/NIH2Rb5GDX81Jv1wx/+0Hzv1eqU9EeNw1tuucXo0KlTp/C5z33O2CerT4pnIR2058pX2f1i3VOcNgtHxjoOGTMPrPBU7L7G58eOHYtVq1aZbmEVkm09SPRWi1oYH374Id58803jgBTu0DZhHq8qLx/R1m0H8Itf9MLdd41Gt87j0KPzVNx1x3jceP3DeOWV2Wa+T8pLsOUfwzN9+xoiZofUZCQtGbf1oaOhWF9sOUgfNK/ll7/8pWnFy4nI4OuYNf5WVH5ttWcMB/ZBK+hj5HDkSk5i5ZQpqN62EwEbW5mADsGj/vtaYV7EXj19dGqmK0f1QD2v+hf+kp00PoByRaL+0egO9NzYEEnlsXL5durNIPzy509h+kvLEI1peDJAioQslSPpClI4dPwYet51NyaMGY/BAwahsraG5UYXmPFIZgNka6tRt/8gdrw1F4hogVkSBhaY+t4uqn9LREyT+a9wSB8sGZN+/Pmf/zkGDBhwhp3RvvTnL//yL03cIUOGGMKmXjAL6Z3slvyStVcSNYK0tenZ60kvLdqcTXNkrONO4Ffl1CJ6IlsvvfSSaYWosipclVuVXARt37592LNnD9566y3TM2bTcGhjKFRcQUMhe/edwP33PYsunYbi7h7T0avra+jVbQo639aHRm41HQtVNe8hnoqjzzN9642X6oC2Mm62nnTE520MXOG+rU5oiOSZZ54xOqE5KdKH4nIqLi+Ft8YE/vor6ZpGtB+KNnhDq+h/GfmV76Nq5y5sff0N5KJ18OIRM9ymyem8jXAYjUaQd2SMehigA2cnY4XL1EsYOxQb54wD3A+dD3eUEDdKXb9pspl9RjLO5LSDsmJO1/lK71JQf75SFOkOsGLZFtz0i8dxT7fJuKf7dNx83QBMnvgu6iIBEoFP8VCViuHZ54dizao1qEomUELiFWTYiEl5Zh6eSJ2+UJAneUgeOIED094B6ugkvQwdEYk9y1O0wjiaQtFqZpPK6aw3JSKiifxX+FCleZ7UE+nIrFmz8OUvfxm9evVCt27dMHv2bHNMk/Dlg0aMGIGHH34Y99xzjyFZOkdiG0BKy+qdfitcn0NSHKuL9pp2XyjebxNwZKxjkjErKhQ5mdraWvTu3dv81jh8caHZeEuWLKlv5Usc2ir0fHJ0rDns230Kd9z2DO68fTh6dh6NTjc9gyULN8P3ZLxEItSyTOGRRx4xbzOJXGjIWkMHMmaWnHfE511cz1X/VQ4VFRV44IEHsGzZMtNbbMMVT1v93rlzpzmmuSuaAiD9upzlV38lXVPj1Ya18H8yhfzAgch36gT/4EGUb9yMY+++R4JQi6w+kM1/WvrkYqHrWlEqEutU5CPUjBOFMGtvmXwxhhwFYxiyx4jKstyR+uFYmvzNOIyXZ+siXK2fwiDjnyiKf8lFW39+mOsd2/fh1hsfQK87RqDH7VNwV5eX0fOOibjpBi2vMNf0bGVItBLpFO6+9x4zSVzP3Tp/WycMUfCph8xgXj1ih0uxdeIMoIo0zI8gks+YHjINWZo5ZEzXlA/F3NzZ0LVr+EWEKxhWX1RmsjU2TFCYPS5oOQvB9n6pfCUiXYqjuLbMJQoXobNETWF2X2JtWpuDI2Mdt2dMlXvevHl44YUX0KdPn4+1Jmyh2X1Hxq4U6PnwudGge3QC+3aVk5D1x+03PoMF72yGl2I4lSAIwrfGUqmEmTSrlulTTz2F559/3szLsMbN1oGOhuJ6rjJQWYisbqMj1MRg21K3hl66oXgis+o527Vrl2n120+7XDboUkWiS+fl0OTEBw5AOl6Nuj2HULJ8FbKZwjwoPxyK1oKlF4viy4a05kxJ0aCmKXoDU0RLFEzOgi6Z4iHNE8VJ7Bub9cLwQOSELEykzOSTjkmfL9KbjZJLgjJsIIufw57dB/HQ/YPQ9bYBuPuOybi72zT06DoKXTv1xty5K6kzzANPirPR2qNnTxw5cqTebgqqD9bh603TgDcQ8wKk2fBBNIFdk18ByqtZ9lqjjVdk4Yhg6jlZknkuLoa33243b1W2BFQ/3IfCHRlrDVwwGRNkLGRADhw4gDlz5piWvrqE7bfBilsgthAdGWvjKFRc/ZHiak0oVeJ4NIedW49j1usr4Kfp3EjQzFpRJGLpdJzPPHwjSRP49Xq4fUNJdcA6lY74vIvrueq/ykENGKsTmkPZt29fU07SHZWVwovLTsOU0pnLCuU5/C9zh7xdwX36NP7g80zEcPC9pWYCf451QIuYIkVS44efBbpY2OuZazYU/VHi6vYh01A5qRcu/C4lSZnHsmWcDOurRvcCxlO2tO8xQUvg7D85GfXkackNySVBeTMIXaB633ZuP4I7u/RFj87DcGen0eh0c1/Mn/uByZPHTJlV9mkrhw0bZno/9bw1lUO9PKonhojx+QeZPJJkoDVMN0UylsukgOo49rwwE6hMmjlkmtSvtyxZewrONCyms0LPsx1+r7K5IP10ZMyRsdZAk8mYeWCFpyLjYcfcZTi0L0ej/eICk9hCdGSsjaNQcfUnL6dL419TU8VnnEUyTgchZ2t6xHwkU3QaelsuFTPP3fPC+mDrhSUXtj50xOddXM+tg1Wv15QpU8wr9/fddx+2bt1qysweL9YblZ90RuT2spYfr80LytQhpwnfWrZi9UoaajLxIIW9016DX1Nhnn/OzxgGRNsdkp4whYuC7tBcs7Bv7tmIAvlHS3eJNzGCjKyGK/VBb7YLEDDcrN/FH7mAZUdyFjCCH+SRYXyzrAZFt2Ycjk4mydEwYF6JXAqYVPgndIEB05Nf3L39JAlZfzO0v+jdLcik9ExzZljf8zLcpk0D5vHHHzcjCyNHjjTD2Lpv1QnVASSydDoqW5IthuWlU9S/XHktNr/4JltK1Df+juSpeyoYlQ+vfU56aeeNOTQKlbsjY46MtQZaTCvNAy6IHMvixYvb3gKWDqdRqLghcoaMaSgynBumXgiRK1ZwrZeUS4Vb/TYkwj3ThrB1X1D9F2lV/Vcvsob3tUiuytWSWBvfisKkM5efjMmo0wBrOOvqq+Exn1p4NBeLYP/yRUht2U7Ckwx7xMjA1BuVYPbUC3UpI35yfbKZ2pq71R8NLeobS7SqSbKpNFmGvtuY5m+WGNIsv4yILPObykbpOrQIcZzZSvFYhvyNDQlKnMeTTIYczcyxYrWFeKS5hbSueKlQGrp59W6qt07Di8CCeR9g1bJdyCSZX4+OjRfPizj5Kf4mIWOdqKurq+9RVl2QPqm+6JmTi7EBpGRZJ1jQmivn8XiKJLJmzyEceXcJ/HSS96o75fWVBT0Lbs4J9XRewavxtySkk46MOTLWGnBkzKFRSKkL/SMFCZ2NFfWeScHtM3Y4E8XlIuOh3kI5WtsTJnJmwyQ2vpXWI2N8vmNGA9dei+DkSdo15i2VRvzQR9g16w0EPvOjRUsz6lUKiViENcVXDxNJwsVCZ8pmaqu71Qe2jTUVGWO6J+lGqinpXJxEKoFsLI5cDR1JVQSoqAMqK4HyUuSjtcjHaao15BeJIxtNkfSEy0lkSFoCsiSPTEyfGlKvU6W52qVA5yvnoV4o/agWak3zWWfoGCmZpHrsfBKrKEkYhfkP1HvMZyzbKCme4qHnrTpRyxTJKcGs0++IhIKEVB9i15cwfOyf/x6q9+1DNq71G5kOs2LL8JzQMKWGKx0+Bj0DR8YcGWsNODLm0Dj4mOzzU+UPiZdE+8XPUPtXmOG6jLBlaJ2uhcpUPSE6JsdbbGgkrUbGRo8CunZBQHJgelhkyBJprBs7jsylguY8Q6KUNb1MZmiStyQi5tH4aR2ti4VqkPEFFHO7JoB/eJFcykdVxSkkD+wHli5Bycix2N69Fxb/4nosvu0WzO90Mzbd1BnHhw3HnmFDsX3cKGwdNwbbGW/f8AnYM3w0jk2ehGDNWqCUpC2WgEcjHmf5x1j2lwZlVGko92HvsYYh1VtseshIxvK8RuDFGEbJxnmDfO4KY+HZ52/rgp693TLEpKresRTLJMI0E7ycqlE+ToaWiGPlmAlANQmp753+sPj5qosjY2eFyt2RMUfGWgOOjDkUUKi5xbsU6iIrP7f1z1P7VvQ7JGkOjaO4vsuINKz/ZzP6ImOXdZ0xzSXq2hX5Lp2BeNLYZT3VIJNEdNkW7Fm3OiQxDM0xP5qXJLJmhiZ9TSTXpPjz1AMdpuiOTUztk7AkuaulK9IkXiIoQV5EgyHHyxF98z1sGvciSvs/h7JRk7G51yNIvfYOSVUVSQglSePrVSGyYQN2TJwElJzivVQin6pCOh1DMqIetBiyx0oQXbQcuye/hK2jJ2LDyPE4Pvtd4EQZ7zfNvITT+eWIRJSMA0vxj3FQDaRQ/+X6zI+ig0YfuDXPWsP3JoqOiXiRKomI5VhyClMavJatA6E+FYlJicXLeEqKpWKmzqlHUo7ISyVQsn0nji1axXJIoZJPQORYJPmc0NuUGoZ2+Bj0LBwZc2SsNXDBZEwF0dCAnA3WqCi+fTPMhrVnhPcokhI63/B+JaoVGoYoVHCKqShFxWHL5vR5DaFyP20obBSVseLbowo3PkDHZcmNYyhELsBeo/HrOLQmLisZKxAxSSZFEkRbJvVWz0zei6Kk9wR4WeZD42CXAPkLjWaqzovvJGlMM0EOSbKHKAO8FJ3AoXJUvfwW9k0Yh13jx8H7cCuCcpKuqmpsmv4yghOlyMZEnpRgmK4qeiZNKlVRi60vzUCuugJ+qhbVWumeTCanN4AZ15Sj3kiM8x7rovA3bce+8VOxbcwElLwyC96RUngBHVY2ZRqQ0YxHW6+5WrwcRWUiUTKSbGvqjcfyClRmSewY+6L5hmVcdJjlohcWzgkRMUfGGoX8miNjjoy1BppMxswDa/BUbAE1DLew53RMMqZykahyq1J7lDRFSz9k6ueGNFYUtkwlHy9fGYnTv81xhuk62Rxby3qjTCGMotfs1fMQToJmKOMqvpXG03doC7hsZMwSMQ1dcZ+1iHWF4R79O3dSBz/CwSlvsMplaPsuzaqpV0edOuYzSayPqbTWqmNITRrxNVvxweQJ2Dd1BrDtEHJ1deRNEaSyaSS8JNa/NA0oLVX3GckVM2d9pYqGeqaV6+viUcQidTg4+gXEonV0PiRoLEdzUV5TPVXh55k8+F4C2SRJmb6xGYsi2H0Ihya/jo/GvQavpBoJErIIT6zVffN0ifKvrXyWeSStaeR1PyzDwEuhZPZ7CI4eQz6d5jOTTQijnBWOjJ0VsoeOjDky1hq4qJ4xtRpt75iVxhyGeciUjknGJCoXVWhW7Dxb25p8HETNh4D1irt5u6req4Sw5WXFlu/HoTApjuaayNuQiLFVn/b1SRo+H6Yd6A1IPqscnai+eac1mYqfmcRew6Ft4bKQsWIiVoDqrDFi5CgVJCP7x7+C7KkTdPRJVGsBr0uAyIwmzgcy+Ezby8RQtWg1Ppr1Lmo3foBcvBx5n/rB68QYJ0KyUeenULP4Q9QcPcKTkySJGdZnkjFbJNpKZ7wAkSCJmB9DZt9xHJj6FjIkKn6O+qHuONptFWOGJ8SpH3E6p3jOp3vKIU7C51N3crxWsqwGJ+YuR+nMhTi5dDXzlKSOMM8sF16Z8fMmDTV2jPNqJZg6wXvOKO8nqnBs6XKyZw9lsgvne0yOjJ0VsoWOjDky1hq44J4xK7ZQrDNXWEPYuIrTsciYvXcphwZ75IJo1HMJGv04SZIm+WrVclnNM1SnnjCJ8OqNO6Wj3x+HztEL/kpfQsPspU3PmM/KmGXa6pEzhJC1MkiLmIVDmVYs4ZPot0Pzobicra7Yfasz58JlIWMiYSJjImUWzJbmg7G6opoG2esznka6mnE8VJkIFw8t6YCk1qWLo/zAQRx9dhpiR49RH6JIkQylgnzhhQBGJhlMxdMkV5U4NHsmgkwaiViE5eYbgsUSDRMVWDweLa4fkJioJytDQrdsC2oXrkEiE+HxkInpDPkbJa+t0TwVbSRD/dC5PpJsNEV58USmDthxCDufm4LKLfuAOuY9QXKXTlHPMkgb/W09nVGVMPVLb7bGEzgydxHLNsm8q8e9EOlscGTsrJBeOjLmyFhr4KKGKYsLRY5FjkOwcWw8u684HY6M0VCHZEyTglN0OHorLnyjzsuwzLzwxQb1joWkTASM5UlRearMtPSBXXvIlrctv4COR2sWZXN6c4vpsvWfTJKQ+bwi96VEGg5VHgKPxMznb3o6pS2xvZv2WbT3Z3K5YZ+TpPjZWZ3R9lxocTI2ZszHiZjAbBltpgHzaLzrnhrLOkwDRxJFSnZpqI0wxQQOz12Mmhf0XcskYvkE4qlaXo91kRfWemBJjQUmtL5dAtWbVqFy7ULjXFIkQWw6kIypb0ohhTJk8aTZCGGlRtSjy8mnyR/j2PvsJHjJODWQZKtwhoF2JLpRXivCsk6muaNvJ8V5jbReYPAQ5/UzkQjJ4CLsn70QqIkzEzyJOqrFkFPMc6uBWU2xDmlFf82DO/YWyZjsDAvRo+6fEyLhV/j3KVsK0ktHxhwZaw1cEhmzpEH72gqNxdOxjtwzpgVSpREpkqVYnYdXpr+HE0fZyjf+IyRkOq5yymToBFhO+vh62HsWlrOg/bDolLbCRO5IrjJ0Dh6waOFmrFyxS34NCXo0M+TEipmjowpYcX2SMn0fsaamxvS62efT3p9Ha8DWc0lxOWvb6mTsbESM0JWUM3Mkm8DxJ0dxhwYu7aFOYZeAhF+N0tFvIL5iN9IkTJUByQ11Qou4ptL63i3MMFspHUFKCzXEavHRsIlAeTkyjJMmAdIHtrNshBQ8h8mvJMO6rQVgE34aCS1K7FGH5i5D+oMtJChaFDWMF94g71BC3aOSwY95yLDxVM6DldJZzYCnngZ6S5RkLltehoq9+7FqxkxDIJEIhz7FGVsL6pRL8v41iR+ZJI6+RrLI8mSO5UILsc6CK3xpi2I9kv0UpC/FjVdrMwWt4SZ7p7iN6WQxFObImCNjrYGLJmOWiEXYcpw4cSJKSkrq41ixBScl6HhkTJVY7XENJaonjGQsnsPbb6zBDT97DL0fn4SaShpPVhSVkeKoXLZv32k+laOPbuvbhVqpXVB5m3im/FS7wh61cC0j2tbdVejeeQi6dOqP1Sv3Mpx5YH1NypnLaHkBxo8bb9Ls378/9u/fb9JqCjFwuHDYei6xemD3W5WMLV4crsDeCBETjGvj5UwvWDqOE0+M4A4NHBsJkUvMRuXIN5A6fgTJfPhdyyzvMcl7o90Mv22p4cQgQVJVg0yqAjhSis1TXiZpy2D/oRM4UUJSZpytaJCcrfRGf5nVRBbVdCJ+JouKVBoVfoIkrg67xk1mVDWGLBRbdIVxSdJSuQR2nTiBkyWVTIRHqaMih1qzK0HdSqRjbExFkU3WIl9RibUvv45sDWlQig2cZnwsFwqtr6u70rcp8ySex99YxAC5W71oYQaazw4R8XZCxiSCGpkiXUJD3bK/tS1ez03SULcU5siYI2OtgYsmY1ICVezVq1fjpz/9KTZs2FBP0Kyzsfsdj4zpHlWJQzKm+9dnV16bsRS33dAb9945Abff2A/9nh6P0lM1YQVTXJ63ds06vP/++8awyCh0794d1dXVphwtIdN8MPWMpdNUrUwOO7Ycw0P3jEXXW4ajW6dh6NVjCFa+v42VkIoZsMWYovMIcpg8abJZRFTPQenpevZZOTQviuu5tipj1QNt9QmcY8eO1euLtsVxJQ11plmgb02KiJ08WQhoBLRvZYUtcmnk7huLElKzOq2RpQXBzgUavWhBaC1RmWYieZ6UrkXpmBmmt1dQGTS8J2lKwDANsXladt6PILpwGarWbMapE7XodfdgPPn0aJRXRKDOIH0CSfplzqQubNu6CcvemYMFc+ehrjpqhhBTuTj2jBiCDPXH9E3LKZGopLw687mkVCqPgzurcFfPZ/HskBmI1NEBMUk1XMy3IPXGZyyBDctXYt578zBt/quoPHgQe8e/glxMb2tqhpYSNtkw969dhakI5AhaDLyePkWV8pjPZB0+mvcuw+I4oqtr0bZz4Qr/NqXqjrGDBd2x0G+J/JL0Rza0+LhQPA+3sXqoMEfGHBlrDVywVqpQVOFVqUtLSzFgwAC89957hozZVod1OnIkx48fNx9Injt3br1jueIq+gVCFT/QukwiYqas8njl5WXodPtA9LxzPDp3Ho8e3N5y4xMYMnAcTh0vYZkErDweVq5+H0uWLioQrzxuvPFWHDl81JS5Jv5LzeR81DugODu2HcK9PQeTiA1Fzy5T0aPHS7i901DceVd/rF6/3QzteHweAct8/ISJWLVqFXbs2GGen/2gt1FGikPzwZapRGWsZ2U/f6SPhd90003GWVjjouPWidh96VWzkTERMBGx8/WISDV5OTMkGZCwPDaOho8GjnkStzoneJ56i+T+8h7vnedU5WM4+dZCVG3dbqLoXnU/Kodi0CqwZrOOU3e09jwyMWx7fhzqymMYPnw6unZ5Dtdd9xj6D5iCUyV1bJAoS9KRsGEydsIYLJn3Dl6aSh3oeheOUqfSmQhq3p4Jf+tmuZVwmRee6AVJJLw09u45iYd6jcRttw7G9dc/iSHPkpBF9SHv0KFriP/goYN44N57sXLxYurlAtRUlyK29yDK3/8AcUvG9HgK5aaN8WkUE95CYNvKlEGe94FIDY7NW8CLJvncWK7n6hjTNylVD65gqP6oHqkOSTTtQs9L9cEes3qnfemdnZahcBvH/i6GwhwZc2SsNdBkMmYLQVDBqKK/9tprphdn+fLl2Lp1a/2YvY5LSfQB3HXr1hlRXPXKKLyhArQ3qOL7+oYfq7Nei4/GPDqUl3HdLx9Bzx6jcNddL6HbHRPQ6ZZ+6NWjN44dKjWVxqeFXbNuLct0KR011YYt9E63d8W+fQcL5RYqilGWnJxFFksWrcUvf3o37uk+Cr26TUGnTmPQ6+4x+NkveuH1WQvgk9CJjGmByoGDBpvnsGTJEjO8bB2/0nFoXhgDV5BiMrZz507WheF48sknDRkLnX7YOynRb8VXXD0nxblkfWEaxgGrZ+x8kIqzOtCk8SY87Bg/HSgpoYPPnH/OmLLJczOyk6z3WY/G/+QJ7Jn6JvKZOnN/updiW1IPWkxfb0qat4E1jyuJHSNexLwpb6Bztz7octsk3EmdufnGZzBwwIs4eaLaGFl9wF49ZOOnTEQmnUCa5OS1l2aykfgsvDyJyu5tOPX2m+ZewnW5AmOH9uw5yPT6UG9G49bbxuHOnpPQuetgvPzaQpJOfYBcDinAwVNHMHj4UKSrmH/mKcY049Eoyl8h+fHqjP+S9kh0R1ZaGuJb+mi6Ie7lNTixcBEvnDRsuPEB6AI0cb9oKZMrEbYOWb0R0RKkO4LVN6t/FtKphnWw+LigMEfGHBlrDVw0GVOL/cYbb8RUtkQff/xxjB492lR2HZNSWKcihdF24cKFiNKI2TTaO3SfqsRqZWtY5djxWjzdexwN/1Po1m0cW/pj0J3Gf92qveYtskyK5cv4q9aspc9cxRTyOLD/oCFjJSUaOFJlDB1PSMZCEpVOBpj95krc9MvHcWeXEejRcwxuuPFxTJk6F9F4puDcNAgE86yUL2PA+XyswRI6ynO5XDAGrlC22koHRAKeffZZkut9pkdZ88H0DHXcPpPNmzcbXZHoeTULGdMcIU3abwro4M0oF+usloCtOLEPdSNn0zSnkDa16BzQYdlHWsEUK311Nonq3i8hm4ggG5zuFdf2Y/fE8kkHHtIshxQlXZHAWz2fRLebeqBrjyG4u/ss9LxjBu7qHvYojx3zKnUmtC/ShckzWFZeAskghQ1rNuCBex9iWgnkaiqwZcxIZiqKbEZkL4+a6jrc2/Mx6ks/dOs8kjrzBrrdORW3d3ket3Z9DCVVUabjI8E87z3xEX5+640Y1rs/Xp8wBaV11YjxOnXrt6N6zSY9XJaS3pkOCZLRosKttaRGqUdOei2SXL3gffgHDjKEuUibd1/PjnawrIWtR3r20htB2/Xr15t96Zm1ZydOnMCaNWvMiMCuXbvq656O27pYDIU5MubIWGvgoocpRbxUudXrNXnyZLz11lumhWILzRIxifbfffdd43x0rKECtDfo9gINiXDra0kJVoZ0JodTpXV4/Mnh6NRlELp0HYRNGw+F9cYsyBr2Cqz9YB1uvvkGPPjgA3jqqT54b+FSlqFtBYo8iZCpXBlfDpzpavLy7DdXo2unZ3DzLU9g8gtzEU+SqHls4dPBq8wVt3fv3iSC3fDQQw9h7969Jtw+j/b+TFoTKlvpgOaAiYzppYwHH3zQzBsrbrToWajHUg0dbefPn28cyyU9G32HUGSsqWC9TWjLOityUS1z/ch4Epk6eHpT5FxQNmkf1SuWyXmIJapwauhs1u0kkuYNyHOASpL00yRBJGQ0pKkdh7Fj1HTW2SHo3H0g7uz8Crp3noJOtw7FHV36YuMGkg+jZxqKUs/YZERSEURJlFYuWoHHHnjczAvLxyPYOppkLFGHnNYHU95I4t55bSE63/QE7ug6kkTsZerkBNzedSj6PzsFtQlen/qVzmdw8OQhDHxuMKqra5BMkJ5msvBo5/x0FGV9JiKfVD9UwDLTywgFq6+N8hb+ahHoY+0J5i9Zl8CHI1+kgdGEPl6R9kQvH5wVV+iyFsU2SlvpitWZcePG4dFHH8W9995r6oM9Lt3q1KmTeWFpDBsjc+bMMcclOqbzbZrat+ktWLCgPn3FtbBxheL95oLStHk3TJ6iqqR6lWAd16LD+l2oXjZKYaicfymmsc645g19Ceu8tlocPMHmVJKp7Ko+jO90+S721u1DTbaWukriJRIm1mLIF/friVjox1QK9tqifJqzaRZCpr4yJvNAP8QjHo9p4Znmhi0XKx2ajNmKIhRXVIVpDtKpU6fqjxcXnPYVt8O9Tcm6YsqBElbaLFv8eZwqi+DRp0Zi/cYDZt6H1gLL5eJUhij8XIwOrAYrV72PzZs2o7qqho5MZWhSlQpwXzVLKlh4FqxxaiCr/o0aOQMTJ7/FNHySMF1bZFCKGT6vQx99hKVLl2LFihWoqKgI88djDi0LqwNquDzxxBMYMmQIfvjDH+LVV1+tH7q3YnVG5Flzxi7pbUo5XQ1Pap5QE0GtpWMvzBkjf6qhCT8xfxFq1myGnzmnmw8NNetinnWdVAZHF62EV14J1DZhwViek6E9UW9cOptCZj7PfX8LjpWU4e4HhqLnnRNwZ7cR6NljCMtxH/WGp1CfVGYqn4mTJmPrnq34cOcmdL+tCzat22zS0tIUW8aOYh4qaJ/19iTrPBspuWQOs15dgZtu64c7e45H1+7D0P2uwThyosqQybQaR2z8HD9+hI2iJ/DBrh3YuHM3MlUppOMeovkk9g+YwgKKMSMkRbzflFyW1EnekY/sPPTz0kA7EAQJxLfsQ9mshbyu7pZP4LRpaByavH8B9aGtQM+4WA+0L11RB8DMmTPN2+F6U9zCvvT0pS99yTRA1RNdDKtr6nmWLdSUAMUZNGiQeSFNW/3WFByN6Ii8KW5Lwt6T8at6hyXOxlmKdY3HpHkxPtgk66TEYyOfbQojUT7zwI8byUtH0wVJxVkteDbJlpdLoCYXQZVfi+1l+/Hd676P/WUfMd0E/yURD+L0T0ljd+Qz1IngswJbSbHo0xSt+uKx7qXpcFLSEVa4ONOv09cvWP+Yg3DeYjPDlo0VR8YKyqDCUGVWpdFWD1Bh9nhxwWlfcTocGTP3yTJgSyWg8visESlWcL02XxXNIEGylMqwLUElybEy5Vm9fL1Cr3kuMqv0avq2pJwbi1GpmvCG1taUr3rhGJyi4urjy6qE6bQ8gonAY3wedDB6HoJ9ftpaQt3en0lrQmWrcpZBl67IqA8bNswQLYU31COJ4qo3+aIn8NuJ2hfYC6K17UXG5ADkAary2qvDwYFjzUrv5wKrqhERK32aKzFzMSJ5JpIIjfQ5wfqpNbNqaN71eaLk20uQXrcFCT+FjVsO4cabH0KnLo9i/Ye7Tf0OGF9lZuWt195Alx6d0G/EQGz5cBPLj/xLvQE6X8OUNZUkYSk6DtZ7j3U+xnKnb5055wNcd/0D6Hbn09i24xAy1FGtWabeaD2DuvIKPPHkY/hJ19vRtdd9OLBpH8Np+3JJlC1fhdJVG6l46hfL0GHRgypzYmHctKTrNn0RiSQ2DJuMbF2cl/TCHgkVcziF6uPQyxvXXlv4cWWhoY3SvtWVI0eOmDCRMemUyJMwb948/NM//RP69OmDv/mbv8Gtt95q3mTW8eLhf9UfNYpOnjxplmiaPXu22eq3JWKKq62uJ9htc8Lek+yBqTxUHSTYmKYTkKT0EX+SDCNa7Jd23wjtuxo7Er2vrLuXaLqBfkcoFZTDFL2+syZag2tu+Q8cLN3LqiIKxfqbVWz1oonIMG2WianLRnhIt6vWve7bHGc8kjGz1Zy9DPMk5WcDyZCkZkbx85Y4MlaovCoMW0ElxZVUv1W5baHZ3x2KjLGi6E1Klgz3MjTcadZTtvxZDpocPOfdNSivSRjDrzckc2xVaDV9kTZ9l09hKjNN4BfRCotWZWa14jRUlupeDrum6RICXotblrJRavNcRMbo6PWdyrDlc5o86zoO54eGOdY2ZQJ8I1A561mo3DW8r9Z8WVmZ+W2fkdULu69j9m1K8wwvFBqO0hDlBYJaG5IIOXQt1UWP4NHA1a3dhJMLV+rIWaFciq6pQaCFSGtmLaJxTqJU9fZ8zITORQSriqnUkjSVTZuFYPdB6kvS9PKuXLsZ2/ccML1neuNSZE+9ylr0WHU4SGQQSdQiQqeS1duQ6RyqWW4x6sMHY0fTU1WQhKn/is+DaSCV1Zx+RLm77P2N2LP3CPWG5U5CaPRCzo7ZzrNRE2V+Kv0MYlEP6UwhTiyOWN1RbJr2piYpUbdDQmSco0ZzuTnfSiCXgjSvdXLJKiRXbee9JBDhfZrryUycjTOrPlxEnbhcePvtt42e6e3IhrD6YWF1Rc9euiKd0lCloCVU9FvhemFGREvk6vd///fNVtD50j35Lm2tHkrsnDGJ0rDX1W97XUlzw6Zt8lLFpxlnQ0MvnPgJ6HNh6RxtQcDGOwWaD8lnLvHYeImTeUiSrH/6rJgkTWKUoGg/Qr+jUq1geW0tL8GPuv4n9lbuRblXhrqgGslcjOfXsR6zLvNaGeqWhiDNPE6SG31qTF99kWR5/awfZ96iCJIR5NLMj4iZIWJUGu42N4rLXeLIWFGlVIWxiqDf9pi2CreFZn93LDJGY01zSTUwrk1kzMtmkKRizX9vOX52/d0YPmomKivjZjHYrLqE9Ykk1qEdO/fgmb5Po3//fpjJ1r7HChcWl+iVHMWZNSskYnwGbJUHOSqJ+SA5FUYkT8+BjkNELM/WTJ7Po/jZNPb8HBrHwyQ3V111Fa699tomkbLieq7yVTlLZxRmy97Gsb+1tVB86cxFDVNqgvaFzBMrRiEL2khE4I1xTeSwjeSqunQ/m9xp2twcEsyWhtpF9lmTTNw4o8c1tE6jfXzOPBrLCFvljHQ+ZqIeZIm6A2hct08bA5zYQyJWyUZLChXVSVTWkEwxbX1/VcvA5HIa4me918eyScAqSVASqs8ZljVJVIrlRtXCzlETgNJTdDhkScwfFYnXoB7pbUT9ZDyVv3XI9rmE4XTYjOvxulnqqu45qZMiPpg7bB5Eolddy3s33wwIi0/H9UzDfsKLB69HV4d0nmnxvozzSbIuMd+1x47hAO0DEklGC8wQlukQUwbICRuF6kQbni8mMiYdkzQkZfZ5WGhfz0oisiV55JFH6s8pLy83L8D87//9v81+r169zNQAHZdO2c6EYihMjSXNGdPWdjIU28yWhL0n1UNThyh+JoVoNmqIfiIfY1DESC4XYUjMSEI1L836LGEjA8kiUV2g5I0foUdKpXDo+DH87U+/jK0VO1HNtLRiXh3pTa35G2NInJLgrxTDJBqCT1I064xlxziZPK9P8sYLss6x5mlhZVV35bsFuoSLn7fETeAvwBaMKqmVhhW7GDrekcgYb9CQH9XMbFbd4Wp55bF8+VbcfOPjuPfO6eh882iMHTkPNVV6o05kjMaBp6xZuda0zNQ9rkncF1JeildcYYufj0RhNr2mpukQwpIxK+cjZcVlrHKXgbVin4+NY5+VDRMumoxpPTHm75wLu54L8je8nDayYcqX2YmT5EQ8fPTcVFQHNP5sWCgSeYERE4e/Wc1JjvIkaxmUvTafwbXhfZ6NIBQgHfEl6tah89n78ovAkf0sBzqKugQeengEhg1/GVU1CUMAM5rIwtT18XEt83L04GEs2fgBVq1fj3hNhLY4S59gydgkkrESpBnPOAtBjRq25NWJpXu0z0LPp/hZaGKzz7jmJRrenObMZGTlSfbiQQIbh40nMYvynlN0UWExGKekZ3yJZEzDSyKxWp4mwfv16PDUYxFE0tg2aQZyFeXMjHoqNENP/fCEnkVjl7XD1m0YxWTMiiVl9vlYaN/qjQiGepoVV9CSSkOHDjXhTz/9NG/7ajMP7PDhwyZ+8fMt1j3pnEiYhje11e/G0DAvzQWbH9XBStZe1mJ85NdgWfV2vF+7E+vSe7AxscvIlvjO+v21qT14FxuMLKC8VySLsBmLsQXzsQmz8CFexSpMTi3G9wbfgtcrVmKJtwPr8RFW+3vxYf4Q1qT3YbWR/ViVPoCVksxBfJCicP+DzH5u9/D3LnyQ2Illx9bhWLYCNcxvnPmVPqk3rrlhy8aKI2MF2MrYUM4GVfYO1TPGeiK7r9eF9VFw8bIF89ahW+d+6N5lOO66Yzq6d5qILrf1w3ODJyAeY8suTqdLo7t+zYfmLTq9aScjpIrX1PJSvOIKa8v6bHKloSEhagsiUlbcgrcoLuPiZyIDL5FO2DiNPa+LJmPq/biUpQtYdy0Zk08PdG3WSzaDDetK1dbg5IJV8AP1wpIYiBAxnuyfpimqca6AWM5H8sX5pt2tQMU5N0RdJGxhZ9M4Oov3sGM3Al5z0sR30LXz87jl5mcwcsSbqK0VAWM0sjKVk3qLxz0/Aq/Nn4033p6F2tIKOrSsISjqdd49ejJQWQWPeTK9BIWriTmpES/nZ8vdPgdt9Yw011MLN4tlMohhdDa8WZEib9dR7H7lDRKmcIhSvVOGB6kMlE7466JR/9RZ/lpooJbENE87sXXqG8ifLEc+QboW0OmQOGSVX0atP6chVCcKZOVcOHDgQKP1vLVFulCsB/YZ6dlZaHhSBEyQr1HPlmC//KAGruIrXHolsecXp/PGG3ymBShc9UDb4uu3BIrv6YRXa8jY8mNb8cvBd+Gfuv0Hvn73j/DNHj808p07tf13I1/r9R/4v49908hfU7706Gn5i4e/gb954tv4q6e/gz9+/Ov43EP/jM8//a/40j3fw9WP/Bf+tOs38I1HfoKr72b691+Lr/T6T8p/Ua7BP919LcND+fpd11D+C9/gsW/wel/v+UN8/c4f4PYBPfD+4Q9QwdpfmY4jYRpUzQ9bNlbcMOVFVsYOR8b48OlPTG+AR9uQiOTQ+4kJuP3mAejRZTzu6voyenadTGI2GJ1uvQ+HDx1n/aEronNZu3odBg4caLrY9dajKl5Ty8uWbbG0J2hCrZxFa0hXkpyGDkLkUMcaQ3H56xlaEiZDaw2KjVO8b+WiyJi+O3mxw5MWDciYmflIa2bypd4hL0B04w4k121B4FfzaMoMfytynJu4LDGbx3oVv/LV95BP661dkU+Gnwtsweit48C8RkYDO38J8OEurFzwATrf2h89u79IQjYKd3QZgiGDp9HBahiel8qEQ0mvvTAV6j3S5Pu8lnRhC0hUUUtPGDJWpxdkmEnqpLKiF/J1n3Ld1tkWE2QrIqN6syzP1r5pZHEbJalLMPWqF95Dze49RsmVXj0ZU+GJwJqdSwBtiGi+esZySf5IZLBr+lvIHjvFsk8wdZ9loB513qe6JInw3hqBJu43YYhSZKZh3b9cop6thjrW1GkBzQXVpcu5zpjqWDH0W/WwgjWzHEksPboVX+7575h9cg3mHF+J+R8tw8LDK7D8yBosPrwGiw6vxsKj67H60HtG1lDWFkT7NnzF4fd4TihLKe/ynAVH1mMhZfGRD7CEhGopZfnRjTy+AUuOfIj3KAsY9u7h9UYWHvsQ84+txTvHV2DOieV4/fACfJPEbPnxD1DFvMZIxPQSSaEqNitULnomVhwZK6o49nexnA0djozJaLNFr2FHP8PKSet49FANHnlwPLp1Ho67u09FzzvG45YbnsTqlduQpJHVMGWGjmPjho3mdWrbTa6Kd7HlZcu6WBwuDsW9cuciYc2FCyZjdhjqUvMlH8TL6YqyYSIXEu3rUJL10Y/HcGTeQlS/s4wBmjCfMcN3NcynXrXXO/DqTSr9cBNi6zaTUGSQS5zHIlJpklqUVS2YdAbp9zdg09AXcfvPe6LXnaOpLy/hru4v4K4eo3DzjY9g4oSZJCQiSiG5nTRiJF5943XMfXsuakoqkSbx0vpJmly/b9yLyEfjJkzsSz1wKbXfmWcNq5wL5v6VdYkKhQ0mvdKfySVR+uREPijml4quNJWW4hsorimxi0edDAjtiMoXJ+tIKl9B8shx5kXzxPyQSCqifVjcmuJXWDFUJ0TG2jiKhykvNwmzUF1qC2QsnY+zYVOHdfvW4z/uuAZ7owdRy381mRJE/DKkvWpKLVWlFokgRv1Kf0yylIAkXuJTvNRpSXsRIxlKkKGkI8gWJEhFGKeOxLwWyVQNEskaNggyJPlpxPMREq9ylOSO40BiN67p+kNsOriO2pRgxQvr63nnh14EVC56JlYcGSuqOLbS2P2GYqF9tToXs9V+wUMuVyg0bJLXXLGcWu8005oTxkp66KMq9LqrP+68YyhuubEPli7aasiamYtCBVFretWKlWbNG3Wl25a6Q+tDBOxykDCLCyZjGoJqwjDUeVF0Ke3KJZ0hyQAxGrp0Joqa9VtRO/EdM4epNkiwZeyTq/AsMQIzjhjHR89NQiLHRlhCgecAyZiGBLP6ODnvGUdKsbrfKDx2dx907/ocutw+AT27T0TXzoNx+62PYsX7m0nGwiEdldX0Fydj45bNOLT3ELx4GkmSJF/d01U12D1qEnwt+6JWEoNEnTQN2RjqwuXPBlk4a9TNhjqZDejc6ipxeOzLpw+Ee/Xl1BwwnzdPxOEdLMPOF2aSnZGEJaLw0jHz1rVIV0jGeGWVO//r98d6xlQvLmXo+jJBZKy1SJhFWyFjGdZQEbKNBzfhR92uxe66AyjLlzJcE/i1cIVeFxEd1+p2fOKmojYitkJKdKmCaOA7nDFZEPVIF0vxMYq+bqEP78dIxmpQiQqU4FB6P/6ryw+wcf9a5iDGrKghxcSpvs0NlYsjYwWoMGzFsfu2wlpS1hA2XkcjY2op57IxOosoy0Yfg6ZjYBnoG5H7Dx7Bfff1w+JFm5BhPU/RuWlycOD5yLGVX3oqXN/mUnvFHJoXjc0La0lcEBkTQVSvWGG+TLNBly0WIqzHOZKdLLxkCrEjx7FjxBRkDu0lkWJefdoFM6Snye5J7J/5FmL7jrDRIepwLuRoy9Uzxng+76O6DltGTkTJkXLcdecgPHj/NLPo6623PImVK7dRZ2j30+EQpZZ1mTr9BcTSbADRPuf0VQo2gtIeHcSpMmwbO4Vph8OIYc+YyBiVT+brPIZat224JXf0GLI8yUslcWrpSqRPHDbHTCTr+M7cvTTEoohXn8Lul96CH00gHqTgZWhL6IT0rdkC/yL0N7zi6b0CVG+vopm/zPX3YnC5dawxqD61DTIWJ+lKYuOBTfjPLj/GwegR1OVr+fwjlDoSniTrspSA+dSKrCEvMyIVOp/oTd3wI7IUpWFFXdvq4ZJkSGok1EtEWfOTHgLqWILkpyZbjkOJfbi2279j06H1JGN6qYfxqPsf75q9dKhcQl13ZMwUhhVVFokchg1TAdlwiS00HetwPWN8+nlWhpCUaa6QxzqRN61Zlg4q2FrPaHiFcc1cFToTc07ButoyVvk5dExcEBl7+OFm6/mor3G6pH40kLSWlCAZk92NBVlEaNljyVKcenEKKl+fh3xKS1ywXvN8kTFkqlDV90Xo0z3nRD7LcyhaniUV0axrbBs1Dl40hcXvbcYN1z+DG294EkuWbGGZ6Po5U0a+r6UtMnhr7puIeWz40KGIDGqV8FQ6gty6Dah9dykSzKuWVg7JWDjny7Am3sf5oJ4mjb7oMaSp0140jhNvLWQ5lIe9UCorpcP7ViRqs0n6UlEzZxl2jZ+KRKqKfieFgA7YZ8MtrTdZdQEJr00ry13RxPB3uFNAEyfuO4SQzW0LZKyKjEay5NBmfP3Oa7HJO4aTJDxR1ts6hnvqeVYWKVRH1jnNkMywGmo4MZSG/2y44ogvSSNVf6WrEpEXVSlVY1VnxbEcTwd0SZ1TzZATqMGWYD++3usHeO/4GpQgYnpyNZNRnWPNDZWL5RSSDk3GLFQQhkCwwmhbTByKRWE2vOP1jFFYATSR38wf05ZhAXeyDPRzWuBVom95GnUII5OM6Q1MlZsgZ+NwZUL13NZ1qw/SA6szxXqibXGY9vXspTNaP8mm0yg0KVvzgZq7V+wikN6wHyeem4bYwf00lhHUaPV+LcS6/yPse2chKvJx5LSKf5KEhYZUS0Fo+YmwpyqGjMf4GgYlcYr5bH2PngjsPAw/Fsey2avwwcothowkqDtxkkA1bQKt/E2mFE/SDSRkc6hNYk5ki9VeBNumTgYOlYYZPBtIdGS8jXPjqSpuvbiQkHszegnUkfTVkSj6qSgqSJLSe0vMYraGfykN/ZG38hnf9CgwvTSFDTAv79OBMj8UrRSl+w0nlMo2hgNOSa1DyPIJ8rWIHtyDqsHjcGjHHsZhPVKasg28hrKoa2p7XqhOqMf0Ypc56YCQ/rUFMnaMtaWEWrT40Eb8y10/IfE5geP8rbW/atjIUU+vIRnMpum8Yrgk/KB/KA3/2XDFsURMHkbJFJIyy7ZI0qxv9Nasm6GwerI65xBnS6uCR47y74epXfjXe/8DS06sN4tDq47TWpl0mxvF9lHiyFgBtsJokrm+66VF9ayzUUHZHjPtK1yiVn4sFjPhEgeH9oziei49kG5IL6yO2OM2XPsKt8eaTMZExFpxjk0xNHclk6rDgZlzcWDcK8jrKwN5Uq5IDcqXrEd07gZaf30hgjZBlp82k3zEOBPeMM+n0OhXU0rVyt62CRXvzEOZTDzjaP69TwvrkcgoNkvLlJfxIiRN4We/+JNxPb0Ak4li08gRZDvnm8TiMQn1K4TTXeRMTC+1Wc4jQC3zHGNDkq1J1KzaiJOrPiThyyBTZOULt8Ncy4mFzqKWQt4ZJmi/UcOL6N5FnSvoApP8kY9rKkMauZPlKB/5Oo68+AaSfjnyZjVzHlfXB9NRUrpOk8mYesXUa+rQZKg+XU4yJlhbYCF/adgRH/Syo8vwlfv/BWvzG1h9GKC6lOYhNkYsATMVoplh82Rtkj4w7rERpG64vOeZHvGt8cP4Wq8fYtWpdWxkaIiZzSPq4WmtaD4U50XihikLFUaOQkRMH53WN/buu+8+bNmypb6gdMzGtyRNk9LP61gcHNoJivVFOiEdsA0Tqxf2JQ0dV5jVH+03iYyJhLWht+SYeySDJDw/gaCkDHvHvob4rFVASQWJVA1KV63GiUXvI55PmfszjkVvXlE0BypCyxljcC2lmsY+F6/FphEjkPKj8j+G7MhFqowM+cqzscdzFO7TSYjgiEOJRAU0yN5Hp3B06gwGnPv1Lhl2U8JMSERJhEzETL3U+k5mQsOm8Qgq312NqsXrkE3HUKKXA7SWB8/UubL3BT9prqY0JPot0TFl22RWiZsDHtK6t4oyHHr+dZx6fiaiFaUsH54ZU28dU/d5hxLVC6VB0bW0PSdsr9hleuGkvUB1y5Gx03myNsmRsZbHRZMxfftLE80rKytNr9fEiRPrHY6Oq8DsOQoTcVPPmA13cGjPKNYX1XkRL63hpDfFXn75ZXz44YdGTy6pZ0y9Hm2kV0ww+Zb+0xgGKRKKaAIVK9dj0/jJ2Db3HbKUIzi1jYRm/GskMrU03Z4ZzavmuakCUVEPmIb2zQqymQRKJk9HUHrcDJWkC2Ukh2AsLZmX/JBZfd4jkeNxDStq1fxsPInSKbORPnCCx8V+zgERI0Jkzjg7Zt3z8zhFg1+ueW/pWpS9Mgc1Kz5ELhVFxEshLiKVImHkteufjvKtDOlySkysjL81H8eQMUXkH81nM0OW6SiOTpuJI8OnI15ygg6N6elFB96LPoNkesR4n+qlkw01pxek/ppng+sVuyiofjkydjpP1iY5MtbyuKRhSn0BXx8z1lfx5WQsERNRk5PR2zFr1qzB6tWr8eqrrxpnZCqag0MHgXRFuqC6X1paismTJxud+NnPfoa9e/fWkzHphcQaG0vGzjrPsg2uHSWfIP5gHAZ3NNm4RjOivDgyG3fh2PAROPDMIJQtmYsjz49C/NBelOaj8POJ8G3LGG1DiuWgccuEjzjLIH6kDKUrFiJD45rREKfYmy5S8JW6prhPwLAUHUGGbM7PkgWVx7Fv+EsIZIvO460yJDs5jZeSBJkP6udpyDVeKsJ16hQ2jxmH2PZdyCfqUJdLU5hPWXpms7FuKr1RqrS0+n/GJ7PLZphlfd4mgaqgGonjR7BryAuo6DMB/u59JJl1vAf1o4U5VfE1xrj0U8GNHDoTeivRzRW7KEj3HBk7nSdrjxwZa3k0mYwVF4R1HpovNnv2bDz11FOYO3euOVbcO6ZFXtV7dooGTcfVylccB4f2DqsrFtIJETIN4WuO5R133IGNGzcaPbGETBD5UiNGsnDhwrP3jA0c2GxvUDYbaPRoi01Hk3qy9OFvZFIIsvroMHU/eYLHS3Fi6muIPz4MVf/WGenX3iVXqUSMpOwUTXqthOQkKWKSzSFbl8bxWXNodEXqMsilKX7ofVS6oTAenYRPApWlk4Afx9GXZiGz7xTi+gSGyNs5oKlcGibNam5YLo5kNop8NIYjY2ehZMwsoCqKWEqv86ehLwuI/Bn7ru48QzzDfPAOUc2AsnwKJSSYsVyS6dYhna0Eqktx5IW3EHv6BZwc/RZwooz3HSUR06sLaSbFVPWYdWsFh1vwJWeVs6K51pzrgJDOOjJ2Ok/Wjjky1vK4YDKmQpHzkNMQ2ZJzKSkpMQti2uMSDcsonsIURz1o+jaYjjk4tHdYPZDIuKq3WLrw7rvvomfPnujXr5/RB4WLiFmitmHDBtMjpu+TvvTSS403YNTzobWjeE5bgnIpu2dUXGNygXr6NK0/R3KWNeuTISYyQ5JCepb4aC8OPDoMe29+BAfemYtM/BidzSkmUgnfIx3Tsv7xLCLL1qF6/0Hedx0NcGHNPl4ipK8EHUCOltd8GohELPrRQex96x0E0TjjMkfn86s1AfQR8ZNIIEhU4cCrs7FvxGQkdM1IFEkSsxhzHOGNyf6LC/pKVGRTN1xIXy8BaK01ZGPMZwTBiaPYPeEVlPUei73PTyc5PIREEEdEjo15LWfZVOjZJnifXjj3zfhVpckb1MYmb0VFa6VR2DXnVEccLhjSNUfGTudJ5SBxZKzlccFzxiRyHnIc06ZNMyLHoh4yFZIlYbZ3TPH1W618S8YkDg4dBdIL6YCIl3q8Dh8+bIb2p0yZYvTE6oviaSuRHqkBY99APgNtde0oTfZS1xi3Ru+NMMwsBJk3o5C1Mo4iWSkaTBIXLxcBojU4Pmkmol+9HuW/7Iado8ehfOUWJGj7y5lsLFONLeMmkxhpMheJGMtH07HUQ2VYicqMdtnXYrGJOuxk3FRlNYlPBkFSE/0V8eyolPuojqPi1aU4OWgC/L27SLiqUJOvQCmdXQ3vgY+G5FDPh5c0rCmHCjof0WFDCnWRtIeqdZuZ/2mo7TMaR0ZNh3/yBHIkiF4+hWSWhJzxtN5mhAmmdTJvSRxVvE5Olbska0BZ+NOIfInCJbqVc97OpX4ovo3COmELqzNCJKISUzXIoqqqyuiZ9UOCtlaH1Ilg02rMDyn8cpOxhjDXLjz8ZUeX4isP/AvW5TeaBkFrkTFdSQ0Is3QL/brI2JbYIUfGmhEXTMZU4e3QioYfP/jgAyMiZwqzWxunMccicXDoKJDxkBM4fvy4mbivuWO9e/fGjBkzjH5IZ6QTtvGirUQNGPU+fwyaK9bO3pKrpIepzkUR3b4NJX3Hw/+POxH7239D9t6HcHDoE8CUGSgZMggo2UcSo8nuUSS0+JGIHX1xLsM/kRjWvfYW4iS8Wl4iybLUMhdmOhbZm0iU4VEih/pWZlkae95ehRP9B2HH6BGo3byGEfQ6QYyR6eTkfPRVgVwNsrlqPsca2vZaJsA46RpU7d6K8mkvY/egoagaPAJbnx+Lk/OXIldSwePMm5zC5cTixW1uHmFzwfoNiSEHqZQR+RZB+/Iv0ht73Pob6ZfCBG2t6FhDKLw1yZi9P0fGzkRxXiRuAn8B9kEVi5xKsSjMFpxImciY/VC4g0N7h9ULwTZONMdy+PDhGDBggNlqCFK6IociPbGO5JxkrA1O3G8W6NuVEZZTOkkSFUMqV4XYqZ3YPmkMok/0Q/l//Rwn/+0aVP3gxyi9tRtOPvEktgwbgMMLXkLl1vmIbNmGvWNfRP5gCVBFYuanSb7oPJIBPBInL3sYiX1rcWj8eHz0zEDUDByEbWOeQ3L7Shp0PiePDifIGpei3rgqSh1FxK5u63Ycnb0I20dMx4G+k1DX9wXsfWY8Sl9dhJoDO8jdeFbMfqKGnpLPTr12yXP3YTUvNCzZjpeysPpkdcr6GWHXrl2GfNnf0hnpkUhYbW1tfSeBHZmxfsmmVQyFX04y1jAP+m3uw5GxM1CcF4kjYwXYB9VQiqHftuAcGXPoaCjWCxlX6YCdN2Z7wmzL3pIx62AseWuUjGl4cvr0wo/2A60TpiUgtExFlNYzmmO58F8+l0I+E0MkexTlu1fg6NQXcarXk0h/7Seo/qf/QNW//jtO/L9/RMXvfBa1/+OziH3+D1H13S/j1E++jpM3fBsl13wDsX/8OhK/+/9Q8ldfxe4e3bFt4JPYMOBxbB/4FHb1fwoHnn4QVX0eRmXvRxA8/SiyTz+O6iefxCESvv3PjceJN5cjumE3slXVCPwE/VGCz0nji2kzxKnPLOmFhRSfYYoeQFPA6igaSr1s0DIW7bBeWFhfIrG/pStWx4SjR4+ardUh9UYLO3bsMETMhtt07HnFUPjlJmM2H3Zf+XRk7EwU50XihikpZ4M9Xiy24BwZc+hosHVfUJ23jkNh2pfYOMb4FqDfindWMqZesXa4ZIGKSsVg507lPX2Q26PTIbnJBiRjJLE5lovWH9O3GTOkOlkNQ2m9smpk6xhexwRiDM7kkWR6UZoa+i0aY5Zhtgr5rIYgI9yP8gDDYnTWtXENPGoBDjOXy1yfSUnM/HyzLpimW8jAK0DPkXmjy4nmfcR5PEEiKcOf1Yr99nxutWjsZYEdniS5b6+QTkjkS6x+qHEjWbFihZmDqbf6LQFTuJZe+tGPfoTx48ejS5cuGD16tDnX6p32G0LhLUHGbP4bis1H8W/do6lHlKaSseI0iuViYc9XfiSOjLU8HBlzcGiDkLP52IfCRcLa6ZwgGgo6FVpNbmk5+E82ROEUkRszZkihP1C4fJJEL23K+pMO8UB4fngiUTiWYZB6qfQ5JfkujSFqGPEUZZ/5KWqlEHo5LfKa14yzOEO16IQ+sVy4js7XRRWgrX4rb8Wi2fgibbqYYXYtDNWJDrDSfrEvsdBv9S7/+Mc/Nutc6kUyNWzU86x4zz33HL71rW+ZeOvXr8fXv/71VpvAb6/ZmFh/KdHviyFjDdO0crEozo/EkbGWx0UNUzYV9oFKQeRYLBmTODg4nB2NkrG2+hZlM0BLX2iNLhn9nGbay6CS0AQMlxNK0fymDTlKGoKUYpj6QPSxcb1LF6mPl5VLYJnRAssKG1FvSsDzNKQoQ57nVQj5Ku0UjLZ+q6jlB9WjpvQ9ESySL60Jq+toPlklRbzQPBWlr2sVvGfAq4vcaSkAfcq8RaGesHb69uS5IH2wTtlO4Nf+gw8+aPY1F1OERp/q+8EPfmDI2f79+/H5z3/erHupuIK21j9ZEqf0li9fbrb6baF49lpCoH3TU8rHwORERUzdy7BG+jGc4L91KMF87OJeBAdQ2qgcZm06hAocRBn2s3mwz8hJbMcRHi/DglNr8LWe3+d+CY+fYGiJkWOU4wU5QTnAlCTbeX4J05RUsLbu4nYlU9yfZ9MjR81IRMWZzgvdb3E5OzLW8nBkzMGhDaJRMqZ5Qdu2hfvtDLQKolA0+Xkz8Z13bXqz5A5lS2v4K2FCNDxJEqLFXM2ngyh+SHtEoDImHbEqSoEo5QxJ0mpncqZMkY4E+rZkwDR8pqdgScinQlGCDNNyHCJfaT0ChYmhiYnxVMVTnkn1zCHlVXnQIYmSbFGImHfATx5JH4ods/yL5oQN1ELIhCbti0iNGDEC3//+903Yzp078Vu/9Vs4duyYIWoaxtR5gnrXtACzvhLz+uuvo1evXmar3+pxU9qCzjO9VoLqVmNkLC2yE8Pmms3ovWkqHlw5BsPefQGDF4xtVJ5bNB7PvjceQxaOqxfze/kEPDnnOTw1+1l8o9cPMHjRGAyaPxJDF4wxMuzdMRgxP5SR88ZgyJKhRnovH42xcycamfDOBPRdOxFPrxyL2YeXGDJm9EaV9DywftqWsSNjLQ9Hxhwc2iAaJWNtcKHXZoN8nJyERKxG7IZGVLdubKklQGI4tMOKrl2Pe74i64ciqqh43OznQmKWlVVWeoU0FUcbvSygAUmtWqa+rCQvoH43s6SsHJdWd00zMV2XP5WMdtUbJ/dse8ck9TtKWNdRfrRtKeibpBqebMfzxM4G6YN1ytoXmdJaY48++qhZzkKESb1jb7/9Nr75zW+auWNjSFz/7d/+zeiTJVX2fBG3srIyHDhwAIcOHTLr/2mr31qGRrooyI/pPHN9Q8RUKcIqonmHhox5rBWpWszbOR9f7vNz3LtkBJ59axx6LRl1Fhldv71n2Rjcu3wc7l8xHnesGIXbSa56rBqDu94fi+7vj0T3JcPRk+lJei0egbsLcs+iEXjkvWeN9Fo6As/MGWuk35xR6LRsCH7xzlO4Y3bf8OsWFNXf80H3WFzOjoy1PBwZc3Bog/gYGWuu+WIyTLRhSjLshRIV0ar4ojUM0TwnDbudRRQna85kPJOY0+XLjg4yT+xskD5YpyzSJcjHPP7442ZfxExLxwgPPPAArrnmGnTu3NlM4Jde6TxB5xT7Iu0rTF/JKD6mfV2neNgyZ4bRQzKmOYki52nph3pcvSjmbFmAf37mOqzCCZSbl0bUo9uI5EimJfVh4e/aTCWpTQoxvwapbIRpa/39BLK5mJEcJa8XWPS1B0otqo2cJC1K5dmskPC6Bxm2OLkZfd4ezHR5bkZk5fw6q3svLmdHxloeTSZj9uEUPyRtbaWVFMOGSdSa0JthZ7TyHRwczoqPkTH1hBSGYS4JBQOljVwStZj/uKdhvay259FP6v1pCRPSGbJ3DHFoaagnTKRcb1B2UEgfrFPWvkiSyNK+ffvMvoYp9ZULhWm7cuVK8wKZhT2neA6Y/JjSU9isWbPMVr9tL5q9po2X1wsajZGxgIQqUYU52xbgK31vwHYe0RD7GQSsWDRkLtF5QaJekjxPZCzu1yGVixjJBFESjLiRfC7O6xckqzeCP07GkiRjm3AYM44swP3TRFSZdp7SBEXV/RaXsyNjLY8L7hmzD0liiZi2DY8ViyNjDg4Xho+RMa0h1QwTtTW/KZxXRVgWRdtlRcs7aODrbGLiFXWK2SSUroidQwtDE/bb6UscTYX0wTpl+RZt5YO0LxJl1+9TmOZ7iXjZZTDskKM915Ir7QtKe86cOfV+qjjt4v0siZiZg8jT9HIHqRR1R8dS5DvVeGPHu/jHx36OD1GBiFmTjtdtTJimYQsa9lQeJNpnwp6n9ezS5BbUvDyJjuZ7iRBJgiLR4saa+0jx9PKLJrFJvCTJWSUWHF6G/tOfYVy9XEDaqIWJzwPdf3E5OzLW8mgyGbOFYB+SKqS2qtyq+Pa3hY1n4zoy5uDQdHyMjDXT5H2f1smQMakh7ZkhVhTTMaYg2jFGOKsUnWJE5xiNVh6dbrcsRMJExjrgPLHLBfm4pixtIcpBz2eUQB3KUhujPyJDXhSv71yErz51EzaRpGTzATSn7EJE8xElpHH1IsJnxTaOJHrhxTO50Yp79MlUbj/II5lPYSdDph5bhPtn9WPcGNOpo5yfnVjfbf1+a5Exm4+G4oYpKYLIl1obegNl3LhxZsG9kpIS02pQHEvMrDgy5tDRYI2Y1QHt21a4RDph9yUWNv7HyJiccDPMEdKVJEYLZahy1E9uZdAjlDivpXYz2/f18+m1r+Paj3GrpSFkDBUmQqbshZ6I4tAyUM+oI2ItDuliWyJjZydk9q3jnJGPkTGKZo05MsZn0pwZakFcMBnTg9FEfHX56rXfLVu2YOLEiXjxxReNs7FETXGtw9F26dKlZizfpuXg0J5h9cXWdemB9ENvbe3duxdVVVVGL2wDRseLt9KhefPm1b/0Yt6kbA4UDJQ2GlYM6CgyuQx9ipZ+8JHJJuHT0GpKvybq230d1zaXTdEep5AK0mZleqUhu8iDoTdyaH7YNyc1cd+hRSH9awoZ02IpZjlg+n2986LoUlO9AJP143h11xJ8/YlbsUWrFWscU2ztQsQONTYUrbGib6lqX5+ZSFLpJIVhTxE1ZUuSDzwcILV79dASPPb6QKqpdDtukj8fZHOsPZI4MtbyuKhhSrXa5Sy0FSlbtWoVJk+eXN/y11aORh9G1vouEr1m7HrGHDoKrNEQpCeq+/p2Xt++fdG7d2/ceuutZgFK24CxumV1SPpzRs9YM5MxmjK6E+pqLo18KgJE2VBSY+lwCWoXrcX+l2dj//S3cfi1edgz7S2cmLUIwdrtJAQlel2NzfQYE5DFZ0qFNI04NC8cEbuskO41hYz51J5UgYzZhohRBZIxP0jg5V3L8I3Hb8dW0gbTpazkLkTU3daYNNC1ejuTJFGS+NzX2hXqUksFKOX15+1ZjoHTn9WQFvPCzDSBjdl0VQ4SR8ZaHhdFxkTANDFSb6uo5a71XUS4rFORI1E8tf63bt2KDRs2mAX05Fh03MGhI0H6IJ3RGkjSG+nAjTfeaL6pJz1Rw0ZxJJp8LJGuLFu2rEV6xvQSpOaOqXWfzyZRc2A3NkydjmODRmDT5CkoXbMCwf7d8PftRmr3duQ+2ofo1o3Yv2AuDgybhH1DRmLP/IXIUr812Vi9Y7LvV4jNu3IgIqbn7ojYZYN0s22QMSppQym8vVwvBRj7YMmY5hzY8c101pExSrsdppSIdKkFLzKmT07MnDnTPDD1AFgipuPaCtrX2i1yLMXhDg4dAcaYFUiWSJmG6/Xh4o8++sjojER6IQKmhsuCBQvMq/gzZswwBC5fXX1ha4x5etMrp9WNzLBFTkMbSeot9S6aTyCRq4SXqcCpuQtw/OkxqHplIfIllTRaYa+cIHqVz2uqPw1wGGCczR56nkw6CW/1dhwZNh3Hh0yEt30nDWM1Urko4jSEWY9Xp530Q9ZnnJFWsXe4AFgipq3DZYPqf1PJmBYINj1REhEynqLPcHlBAtN3Lce/PNYJ28SKjBIyzgWImjhWpM2nxWgmtTJHKphjDiSaUKBvVaZJiah7SoKXVJwdpEkvHnsf9701lNnIMje+4Wnng/X1Kgdjv5iaI2Mti4siY3IcEk3e10da33zzTaxZs6Z+rpi29iHa+Bpysa18yeWArqM8eHROAVsM6TSrs/mtxS1VacNqranJuXyKoqFXEU3mmfEV18HhUmHrnBovEg1Tai0j6YXtTbaETDpSU1NjepU1Z8wMU+7bd0GfvZEJD81x+DeRYdq8RpZkMJeIomTZahzvOw7x9RuRzNYiGchhZJDxmQ8ZL1Pv2aiSuadO0LKFRk3BceovdSSTj7HhTZKYKMf2ee9g86jJyB8qAWJ0CF4KtTwnZxwVwFAaTf1xaBIcEWs1qO5fWM8Y9UG+gioS8qiAfCWOl82csVvCOWNaiEw+7wJEvc0NJVsQaWZDkpbV0hcUvYRjeugoomh7SJKmH1mMh98czHjSW+aalzgfrJ9WOUiam4zZ9K3IZOU8FaLyTXvJckxmldc0i9hDwHvLcJtieFrHGCsdhFOlKmiLbnn+QXQe9TjK81Ekcxk2DHWvfBYUj+Qsw7ynmIaIq5qYcU/kVffGzCjDFJWZLKekNXDRZEyFsHjxYowfP958HV+tefWKybnomH2INn5rkDHmmnlQD56+Q8YKTMURKdP1ldccm+85PuAcH3g2l0TAhx+LR+GRcXuZ0z14lzfPDu0N0gPphYYoR40ahalTp5rfVlQXpSPFvcoKnz9/vtEZsrNw3lATEZFFE9Spxd2YjLTWGKqLoGLYK4jP+xB+OoG6ZAUNUJKGK4VqmqCkqee0S7x+LqeesVA3TIOFRk36IlLlM5/VNGnlbGPH8rxagg6nsg6HJr6OI6vWwvNjbJBFmbbiEWqKO/VpGhwRa1VIV5s2gV9OnQomEkFHrtFB+XRRI62Q/8quRfjaUzdiszTArBvWwij0qJler3pGkcIBVOC1Qwvw5Ov9zW8tFquo54P1edaPtxQZs+mjmsRWLyTw5ATTrvbqUOnV0L5Eee0Ey1rL4CZ4FTX00iRWGdSwEalPUB3PVKN7/0dw3YPdzKK35YxXofdGadviQcJIVbKGdtFjaI4x9GaqehQLj0Z2kqLnqKanpDXQZDJWDOs4NOxinYcImO0ZU+vfFrI93jo9Y7q+8krnooJO0ymmRcpU8CJkIlxqZ4ROJ+NpThvZNCuciJvN5+XMs0P7g/RA+qFv3X3rW9/CT37yE/z0pz81vWPSI+mL1SFjmAiRsYudwG9GRbSjtNQ6JDnKZuqwbeZrQEUlDRD1lC1HtjjgM32PeqJzmJXCm2H6zIy+4ZehYwl7xySa7K/hxjiVKauFJjPUf5I6P6C5zGaQTtSi5P3V2PfyTDLAWsS0qniKLVjlxTgHh3NCBEyk2xGxVoPqviNjHydLLU7GmF/53Vg6aYhUJS2StuWkXtWkYfqmZjm3J3mHpxh+mNfbw5DDpFhbUIKerw7EzRMe434FdhRkL+UQqoxE2WisZCqSj5InUUOSV5KqgE+bFi6aG9pezaqQtAYumoyJiGkrpyEnIlHhWoJmC1n7rUfG1OFJYpXVG57AkSNVeGHyGygpIbcmMfN9hWvIVb0TrG5eEtU1VairjfJ3oZI4OFwEiuu56pFIl+aLafhRa/LpTWMRLemN7SFTXbRQ+MWSsbyXRYJEK2kcQ4I2OIY9s99G4vBBlKZkzFi3NbQiA8j4mmIhNuZx6/Nayqt9qcDqt9GlHPWcWczSmgds0fh+mkSMJCyThsfftV6MJC6C/PZDODHjTSAaQVkQQTrFho7eBHM4OywRc5P1WxXSVUfGLj8ZUyPQ41b98DXM/Mz1C/HLx+7AnQMewF2DHsI9gx5GjwEPo+ugR3DH4EfRZeh9uOnZu3DbsHtx86j78a0nbsAP+96OX464B9c93wvXDe2Fm5+7G52H3osuz9+Hu/vdhW79euKhkY/h4TFPoSRTjopcNRuitK/6akLAK9O+6blKWgMXRcaEkMSEQ3naytGYQuVvGe9i6HirkDGqhtZR0mrEJSVxPPjAUNx0w0MY+twMlJyKGx2xhEy9AO+/vxSPPPIQ+j7Tj/ldYu5Hx+x9OTg0FcX1XPXHki3ti+RYCese6yh1Rvv2vEbJGBs6TUEurbR9ZHzSsUg19sxdgMiBI8imEwhI0gIvh1g2b0YFZFvTFA1RpmRI1VOsPPCYyFp1ZQzz5y5nAyUOTz3LqYDh1Afl16c7Yp6idRHU1sWQYP6jNGw+W7fZXYcRXbICgR9DXD1r+s6SQ+PQgq6OiLUJSD8dGbv8ZEzQfK4KP4FSluy0tfPQ+7VROBCU4UiuEsfz1TiSrcFHqMMhRLAfJyml2IcSbMofxlb+3oNKbMEJbC/IbsoBNj0PUipypYxRil3xvej27N04mS1hKnFeKYp8lrwkKzurQU/aaT3XVsBFkzFbmMX7tnAbQk6mdchYHmk6pWMnavDQg8Nxy03P4N5eY3Hrzc9gQL8ZdDAZZFJZ+F7ovF597WUsWbIYx44dw6OPPm6c5Lnuy8HhbCiu59bgiJCpTmlfjRcNT+p3cbitax8jY5rA38QV+JPyDqzTqIph2+QZyJVVIk/SlMr68Gks5RzspGNxpDi3KepoNqtpBhlufUPGSk7U4rGHn8UtN9yLoYNfQEVpwrwh6ZGEqfHieSmsWvU+GzCP4Kln+mLK1FcRS3hIkNClvBjqdu3EqVUfwIvpg8et1fnfxmE/ceSIWJuAdM+RsY+TpZYmY8YO0l9rLlc50xk2fxoen/E8jqCKdEtDjPHC0GWGW5/mLcK/4buh1aly1JGoVabLEcnVIp6row2KIJ1jHMZT3LI8CR3PPExCdlO/O3HIL0UZ09Xn1LWQdT6b5nMSCVPum3IHzY+LJmMNYRxGYSvyVYzWImMBH3JpZR26dX8S99w9Cnf3nIRuXcajR/fxuP3WIXjxhXf4EKSAql8+Zs+ehRemTDbrOz3//HATpryrslyuPDu0DxTXc7tve74Eu2/F1jErHyNjAwc2eS5RJmCFziRRPmcpTm7bgkSKJCuZRZTX0BtXpGA0eyR/NDqaV8lAiq7PRkmO7VOGHT1ag0ceGk0i1hcP3TsJN/6yNwb2fQ3V5RHmPYdEOkEil8FLr0zFYjZgThw/iWv+86c4sP8jJGlYa3lMb2nue34acLSKplrvPxG6fe0YX8f7puj2THhHgno5RcLcJ44uClZnJILdVwNHkP4ItkGtrd23cbVfLILCW4KMNbyWlWbDecjYE6/342/N5Y61STIm+6OGIpunJEkpjF34Mga8MRbHc1WkUDFDm6LMQ5THI7RheTYIzdzXQMSMjcOcj3SQQob2K2A+JTnGyXlp5DIp5i6OI9lKHOPz6Dr0ETPRv4TUT31jOaaRZ92gYWPGmBdJK+CSyJgtTG2L0fB3a5ExFemGzXtw400Potsdw3FH5wno3mUKevWYyv3RGNBvcjhvxguZ+Zw5b7OV/7D5msDTT/epn/8mMRXGweEy4WNk7O23w+GsJkAvp6C0DMfHTKB5jCChqksrHVMdJkkK3xdSK1AOS6bztD76NHTHSipw733PomvnEbin53R060yduXMqOt82Cv16j0e0juczT+lMgg2YN83boUuXrEDn7t1I1kqZCIkfHVAsT9K34zgOzXgLqVyNuZq5lByFsdjUq45IxtQLJhKmXjFHxC4K8inSEdOj4nn1Pc3a13xH2W6h+CUzHbcvy0is77IiKKw9kbGDpDKvHV54BhlrylVt/lQOkhYnY0w30MtzPLuUqU1e9Br6vPQ8yvKaup/m9VXaYe+ZlrdAmudojQ6JTJm9Z4l+ewxPMSfmc1H6Nmia6aZxnKl1fvZxHMvr5YAsf7Ee8Bwlac7VYz/3o28xNFvPWGOwBX5pZExxC6XDXUtc66WQliGz2i1KWh9BTvOhzHlnFe7o0g93dh1GpzKOMpYt/n7Yu+eEyZsdJtLitfreppT8/vvvR3l5uUlfxxTPweFy4WNkTEOUcuBNQIqE6/DoVxCUHaYJo3lOh/PCfBk9tiBlNEOx1ue00gT0LOs3bMf1N9yPu3qMRtdOY9HzjhfQs/skNmBG4o5Oj6CyvI46QwfD8xcsnIt77rkb0196Bbd16YpNW7cgyGgtoDySJGOoi2HblJeQP3mEZo+6z2vodowU9sMdSkfAtm3h/DCRa4cLhrX30g/ZbW2FiD7RRWiNPsGSMS0no3gWcvyOjJ0fNn8qB0mLkzEtVE3bpPKrQBQvvvca+k17HtW5CM1XmnaJDUBdW4nzkWt6hfiWWcpQEgYbUbgkw7haFzZNSbBANLyp3rAug57A0UBz00jGGE+jyCJk5mSl35QbaAG0eTJm45+WwoF6SKFCpRL5KkaOYWkvixSd0dx3NqBblwHocvsAOpUBWL3yAB/C6e5rVQh9P7Nz58545plnjEihFW6v7eBwufAxMibn0sRJ/EEqgtJBLyKTq6VxZOWnhZap1DwxvRV52uJYIna6bmd5LY/x5sxZb3Tlzq4jcVf3sejRbSRuvakf1q3eCZ+t0SwtWCqdYAPmFWzatJHZymDEyLEY9OxQnk+DzDQ8WriMF0Vw4hgOjSMh08sBvGZI48Krh5fnn46gXyJgImIiZA4XBGuDrUg/1AMm36JeMYWp10s2W8RMdlvH7bmKrzeZ7TmOjJ0bNn8qB0lrkTEtQSEy5mf5jDUPVolzU0/CJAxqlIwxWUPIKJaMncon0HnA4zjsx0nM/CubjBUXYLEovCFsgV8aGWNBsZKdvo7muUhUwdVjpVfsNfFYLR5TA+th4vNfIslWFB3Iu/PW487uT+KDD/YwLsueFUt5sWRMn6lZuHChyWtlZaU5dvq6Tc+zg0NxPbf7xfXIboXifYuPkTFBPWNNcOS1H36IEwvfp22hXmiJClqsKPUgSx0QETJfnzhLndZK/ek0W4xRYN47m9G1c3/cfktvNmCewar39xo9Unr6qoX0bc6c2ejcpQsGDBiEe+65H6s/3GharfJOAZWsSu6hrgJVfcfzpkgk8x6SeZ/GnfqpC8qJmG5t86t9QgRaL2Do+bmJ+hcF1VUrgvTDDknu2bMHs2fPxpIlS8wx6Yx8jo4dP37ckCt9jm/Tpk31xxwZOzds/lQOkpYfpvQQ5Dym4JkJ+5MWvWqGKSvymi3GktbLRVqhX/fFbLCJeYaIdjcM0+xBKz7/RkjJKrO16D7gIRwNalDGML0CYOuCSVuPvRkfy4XgosiYMm+VwYq5mQawBa74l0TG+AzCh6aKHi4+abasHJm0RwULe7Cyht6ezkeeJ4qw6W3JdCqgI8mhoryazkTLCYTroilvdmvF/laaF5pfBwehuN6oHtkeWFu3tG/RWP1qlIwtXhzOMzoPDgydgGSsElkNz5A8GSJGXQjYXEyb9fNoBOsXPS6+dpjngMc8WrdUIo8FbMD0ZANm04Z9PJ/2ikQsz/M1iV+fDqurqzWObv78d3H06DGznlhGjoG3p7X6ymQmvTiOjHwVuZITdEwygBmaxVC35cVM46q9kjENL6s3zM0PuySoXkqsnwn9QQ779u3DH/7hH5LjnmRj4B7s2LHDhIuISW666SZy4K7o1auXeTFLemftvOLZdCU2XUfGzixvSYuTMfpzenPm0MMx0qaxi1/FEy8PxUnU0n5lSK7or82LRjyZ2YBeRLKihRKVNxkoba1oYWsrzJ/W76/LleOuwfdosQs+mSjLK8bnxXLJUzc1FMrrhHL5cVHDlKrQloTJachhNAZb4IqvTydZMnYhMNEp5pq+Cq2wIjiJl1rndTUpVJZH6CRCBQw/cRQ6mTwfcjarlfWTiMUYRw+L6qJ08qxMYQ9bmMcLzZeDw7lQXKdkbIp1RvVUW4vG6l6jZEzzYZowVBl7dBCNZxyeiBftS7WMi9YYywSm6z4RzyAe0yfCQmIWQlvlWTqh3jF9ENxjI8ZHeVk1/cnpBkwYLxTdh+7PNGLolbwgTT/Ai8hm8xx9ozLvp1G5bBNOvb+c+dCwgxc6Dfk7kjujs00y4VcY7LCkW1H/kmHrW1j/Qmj/rbfewuDBg83w5GuvvWYImSAd0/DlF7/4RZSWlta/ZWmJmCNj54bNn8pB0lpk7ES+xpCxjClonsgN3T//0KY1RsaKCZlIWH28kIxF8uXoNeRelLBcapjrK56MqSLLuUhU4TVJUvvFKC5oHRMZO8OxNBGKrlEMfWMyx8JVj5gcRkaOJZ3FhNGz8cQjo1F2KmJa+7re6WEYtd7j2Ld3OzZvWk+dSJsHE/h6w0aOxZExh5ZBcZ1SXZTOWDJmdceisbrXKBkTNNx1Hude2/s5nh8x5jFJu+Lx2vAT1B31CoCNl1pUVdaF+qLWpoG20hnqBS1eNufTgcWZz7DxExosNbpCl6P4uiff12r9+nYlzzc6pQYRf/OefZLBNB1ETvdbGcGWqS+RCdbJrIdOQ0l56rWTa2uKCb9CINKsIUk3LNkiUF2zOjV06FBs377d7K9evRo///nP2fCOGf05dOiQ+fTYsGHD8J3vfAd9+/Y188l0vkRxBOliNFqHstKTKCsrw6uvzuR+BX1KOWK1JC9s6KvOVvp12FS1B5N3zcbbu9/Dsl3LsGzP+1i8ZzkW7F6C+XuXYf7B5Xh772IMW/ki/vXhn+Cdo2vw6sEleG/fXCzYOwdL9yzGrH2r8Mbe9zFv72qs3L4Eq7Yvxat7FmD+8S3YgSo2WEL/ZeUM/T8brnAyptli8vF6rfE46jBq2ct4cOYQRDzN9NKyOB6vwZwzC0bOg+K0JWyJ4iTp2GE2D68b/gBKs1W8Cksrq8aj/tGW6cT6srv8aDIZs4Un6OZUgbU46ogRI/DAAw+c4Vws7DlSFI3nXwwZU/mHJIvEiaWkVrSGV3yS2NlvrkLXW55Dl5sGo+/Tk3DqRC3TF1lU60Tx6PjohB5+8G7cfOMvEIuywpCg5eWRWHE13GLzeMH5cnA4B4rrlLYy/NIR7ctZ2Le9bDwbV7Dx33vvvY/3JmvO2LXXFn40jhNP9qVBSaCKeqOP4ubSSdrJcIX8suPUhweeYwNmKKoqtKo+06atykp/1TghCdMaPfv378GWrZvgseEicpVK6201kS41YEIHIb02YBLmHkwPQNgzrRcB1PMW6K1Lcz8BNg0ZRf+gD/amkaGDY3MXGeZRZDFn07rSoaFk9YY1cRkShwuH6pN8kOrfpEmTDAkTVq1ahW9/+9tm3/aM2ZewhN/7vd8zPsvqk01DOrZm9So8/9wQjBw5El06d8XIEWMwbMgIrFm+GqloQlQEp7IVeOTFZ/BXPf4VP3zmJnyl54/w1V7/ha/e/V/4yj3X4Cv3/xhfffhn+FLPH+AbvW/AF+/8Lv7piV/gbx++Ft944Pv42n3fwzfvvgZ/9+DP8Tf3/QRXP/AzfIdp/OC+H+Pve1+Lv+nzSyxFCa8U9tpZsfk9JxwZOwPFaUvaPRnThMjNmzfjiSeeOGPYRVAlVxyJHMvSpUvru4ovCLxkli1sDZFojpjmqWju1+w3V6DTzU/hnjum4N5uL6DTTb3R/5lRKC9jy4IPNuNJCQMc2LcTzz87ACOGPYt1q1ciq4nHGqvRc3dkzOEyQHVLeqDGiBolt912m1lCxR4zxqJoXyJn0mjPmCAydo7escN9+rJuR/WCEo0oq7q635NRnKxM44n7JuPOLsPR9fZBePzh0WZVfS9Jg6+5W2y8ZKln0lcN99x6662oq6ur13dBeSmWM8DbUC+2jLFi50jGZLzzImWMu73PCHrJKpSLhWlch+ZAZNEQM8mVDPWGqddSz6aJX0pwuDio3qlOysfoDfguXbqY8IkTJ+L55583fkZETPPHunfvbsiWPtL/+7//++absILVMZuO/EpYc4H3l6/gRRSJYiqy/L+HE3457p/4JL7X/3qsSO/ElvwxbMExbCZ92IwT2ER3/wF/r8VRfIhSLKfrX4EjWMmw7aRFW7EfuxhvLTVgFUnXhyjD7uwh7Aw+wvgjC/CXT/zEkLFokDD5svIxPWsMjoydgeK0Je2ajNkhFw1RDhw40CiAKrUVGW9NqpTzkVOZzpaidSw2nabAzP9i6fiBvn3JR0IitWPLSdz8iz4kYVPRvcs09LhzGu6+exJuuPEJDH72BaQ8Fixb816QxMsvv2yGSNV6GjJkiMmXrq88OjhcDtj6piESTXZXnVy+fLkJly7pmNUL1U/9Lm7AKPwMiIido3fsWJ/evGgdNGE/S8NSk6FuJjNs9b+Bbp1HovsdY9Gj+yjcevPT6NN7HBswMcbTNfVSjG+cmHRFQ0AijTY/xfm0cgb0kyIfJu3S4bxPfaMEqTS2PTuehq6O7iEdki9u5Dw0tw2SKxXFvWFukn6LQ/XO6o3IVe/evc1SRPJD0h/5Jc0l05uUWi+yf//+uOOOO4w+Wfuvreq0TSsQGVOvLvdnzZrNhgQvRPFTPv24z6qaRjXpwF2jH8b3B95IwlCNaD6BOjZ6ail1+Rhq83G6+jg0K7KKvyVluVrSlCRpAM/OVyKTi5vGSAnPrWKol69GIluGBUdW4B/u+gEJ2hEqhEjTaSLxMT1rDI6MnYHitCXtmoypVaEKLQfz9NNPG6Jlb1zKYONoDL6kpATz5s2rj2PTaQpMmnxAGi7RsKMWm1Rrvu+TL+KGnz6Du3tOwe23D0P3O4ehU+ensHL1dtPozvhpxJN1JGl3Y8KECXjllVfMfAKRR6uEF5IPB4eLheqZdRLazpo1C++//75xJqrf1kGIeKmnWcOTasBMmzatvpHzMagX5iwLh0b6Pc2LVtGoUNdSeVTxGjs37EX3m59Bl27j0K3bRMpoOqqx+MUv72UDZoKxsWnmzw98s/ixGlFqwAwaNKj++lZniuUM6CdFwfIN+qySPldCQ4DIsePYP+MtBsYRkTVVktyY1841b61+7toVBM0Hs3PDXG/YZYPqnfTG6o/suYb+tS9o4VfplNUrQT28GrKU6DyJrcOKp0ZIQJ8hn7VgwXvcMm3N51aShTljIlr3jHsMPx7RFRUkYKrXWfq0LHWUyk1RXafvU1hCYfydZpwkCbqX4H6MFV7TFfI8lfRD5MYjifHrsHT/IvzgwZ9iq896lIqHfq8gH9OzxuDI2BkoTlvS7ocpVXFFsETG5GikFNqqotutRHHlXNRdbArmAhBekwqT1SRiHylW7KyfR/mpBJ4dMAO33doHPe4agptueQRr1+9mKzsc9tDHjI8dO4z77rsPp06dMnMFNIFTb9wobw4OLYlifbH7chjaamhFPWMaSrH6Id2RbmitO739pV7luXPnNt4zJogIqDemsOK4vYbk8JA+VIJy5JJx5NN5VPD06ooYnugxEp16jMGdPSfg9k7PcfscuvV4BstWbEaaRjbDfERjUdx1112mAaMevOuvv944suIGTLEUw2iq/lDFNVypb8OaFf+TCexfvBS1G7bydxoJvQ4lMyBd1Ub7kisF6v1SL5jK/yyE2KHloHonXbH+RXokyK7bYXWFayuRjyqGjll9s9DwvOZLCu8tXBRWZv7MeaznJGYiY5V0373GPIJrh3dBSbaaupVCIJ+m+kDdYcKGqNBRGVKWFyHjfp770MtjHn+nSQJ52KePMvMzq48zTgTv71uK/3jk5/gwscvEs3mXNNSzRuHI2BkoTlvSrsmYKvSuXbvMhMdrr70W8+fPN+G2kltF0TlyNjpunZFNpymwcTWEErBC+2y9mAUn2booL43gkceG4Jc33ok163cYIuarW4z/lY8dO7abXgblR3nQHDc5Qu07QubQkiiu57b+SRSmXmL1jKkO2nkr9rgVHbMNmLPqiwiBemUIpSFR3L0zpyJ7cA+NVpy2M4ca6gQb6Ni98QRuuaMfbrmtL3rd8zxu7/wEVq7eZfRGX6owHwg/dhT33nuvacBI1NB6/fXXTdrnA69Of8C8yhrLZjO9HI0dEjFsHjcRiPFech4CTT2Qw5KN1Hm6vbPcYpuDHZLUh9sLRNihPUD1OyRw78yZGw5ThkFmKzKmYUqRsX8fcgsJQ5TOPEDEiL5xmKNrD4XNJ5KXvGlopM0+w3JaujRjiJhmNVdS6nhehn8lbx99H3/98H/gfdIFjylcMBwZOwPFaUvaFRkrhm5ODkNDfrt378aJEyeMKMw6F0vGJCJGxY5Fci7YOMVxPS/DFpBWT2aV9lLmbUkd2nfwMNZv3GrmncjxiKTZ63pskRTnwTo5bc+XBweH5oDqmeqfdEKNkTfffBM9evQwbyB/8MEHpi6qbtp6akXh9m3Kc0JkjKTMGh1dL314Dw698DptYwRVeZrRTC78Rlsqh/eWb0Snro/iuut7YM26HWy80PZQZ7TemJdJY/v2beYrFLq+ZMuWLWb+jfRG6Z8LvEtD6KxB86liuSwdS7QOu54fyd+8N/VA8P7kOKSBSlGq2ObVUcOQmqfnJui3U6gmNp2MncxHkWCkZEHSPE+SoXis2z5F/QJBYd/PZbivVeTDN5yjlDj1IciRzlHmHl6Bv33wP7EK+obrRcw75DUcGTuN4rQl7bZnTFvrNHSj2towWwg2vg2/VDIWrh2mUuI1CiWmrT5srNfoA3Nc2lOATiu6THFaQsPfDg7NieL6pXopwiVCo+Hy/fv3m7e7ir+VpzjF0qSeMUG9M1dfjfyaNeY8E9eLo7bPZORSlTTtmqfCljmdQEZLveR8rFrzIbZt342AjRctE5MVGfQ9+OmkafTYhouGSJUPm/fzQUu3Sg8L6mmckwYiqzZ9iLJZc40xNXdiWBrtAneVXSMKb4sQ8dL8PPWGneMNVocrHaqrTSdjpSQ1pgOAoi9WUIXNOVnuG05RdL7eVDb+SmSGDSL1mEmb0oqUpX5SFh5aiX+4/xqswzHqgmJcIBwZOwPFaUvaFRmrv6kCtC8nIlhnYgtYUoxLIWM5Gne7rpEVxuCWD12LwGpr4oWFb46bisn9Qh7tefYewjQcHFoOts4V7xfrid0XbFixWDJm30A+JzR/7KqrkN+61cSNUC8qX34fVRu3oiZNp+FnkMj7yNDQaaKymjMedSpJcqaVrX2GyxDmSczMAq0Umyft2+tra/b0pxHROVrOIkWzkKI/MbY7n8EHI0YBlaWmvW+GMc1tUx/DDdMNk2hTEMnVJ4zsvDD3lmQ7h2pj08lYhUcSleABNnSQZO1NSRjXbCmaxhaOU4a/SWDY8gKijC+vL4evNf40n42y5sBafLPnT7Eze4rxdOELhCNjZ6A4bUm7HKbUTdqtRE5FsDet38UESCKDfvE9Y3IKFP3jafZ6YU+ZHj6vyUqoNcNMoStSgYxpIckz0/q4ODi0Rag3qslkTFCvjYgDiVmldKQqgz3DpwO1tfAymt+SMQus5mnIpC+az5UhQZORzdAQBbyGbKHIlPTobNc0ofojkc8oFvUU0FhH/Byq6ITSdFJH1m7GifWr6AfKGeEKgCNhHRSqwE0nY6VZvZWv6S+q8xLqVMBGjnl5jML9TEHS/J3JZhiWMV/oMY0ViuLkvISRxR+tw9X3/Awf5kroL5ug7w1hfJ4jYxbFaUva7ZyxpsIWuAjUhZCxS0HxAzAPweGKhtELVRcNURcUXUrDWsW/tjufdYq/pU5BQfT3SsYFkzFBhOyqq5BbsQYxz0fdrgM49cp8Gq8EEtmUmU+ZyzAt0zJnmWXVAyYDSmNEcuZLVwt6c9ZrFoJ1uKEofba7kPRyqOVOKpZA2cDpPCWJhFcXnthWoeFIR8I6MC6MjJ1C1FAE0hsjmrCvift2Er9E5EET+zXBX7ETph+afJ9STRFxCvJJI3MOr8dfP/gLvI8y05l2wXBk7AwUpy1xZKxQ4K1FxlryOg6XB/V0mmRBot+hrqi31DOGhTWKv2hIeSQUGYSmmIS2i4siY4I+l/SPX0b6vYXIJ2l83ngX/g4SDT9tJs5n2Uo3vFatb2NYNZclJGQey0xzMM+pO3oMPKTnoBIuFtlSrQ4QD3ykgjSqV6xFYv9xZOtSKDEx2iBUXnZOmCNhHRhhjVajZPY7c9XJGwapvvOHPm5fRTrQc+wj+I+ht+FUvpbchxSCynRaTvsdoz4UoytKg65eov8iWxKFIBs1svDQCvzDfT/COi36ejF0zJGxM1CctsSRsUKBX04yZtNv6es4XCac9RGKjEnxQxqmXxL9MxbUyJWLiyZjROLYMeBH1yDXvz9y8VqcmPYO8nuP0yj5yFAXU0wvbZ2HurK4rw+EyxyZL16cS3fkWHhIBlfORHPPtC9foDfFAi+HZDaD4PhxVC1byevRjMfzdAkXdg8tChEuLVFh347UviNhHRyyF46MWVgbYO/JkbGWR7sjYw7tDOoRI6QfZo/KDhpB/QqJmNSICqdD5riVK7uOXQoZ05ziWG0Kub4DgGuuQbB9G/ZMm4V0eTUSNKIxGnstvCoD6JmPe/MEU64s5UJ5nxWKyuzI4OqZeOpJ05IyNNLS81QqiXxlHXZOfRm5WB0j+eY1fiXf6tCLDnYoUr1h6hVzcDBQvXdkzML6aXtPjoy1PC5qAr/Eovim7TFz80WQkdb3IeVYHFoWtvyLn9GVjKyfoGHMUylpEDW53Kez96mWvMckHb0f6BNbVNckyQd1OZelydOnTIw1vXJxKWRMtx5lWQSaH7boPeS//A/AsOHYOeklJOrKEKRraVOTJFIiZHlje8K3HOU1znOtQhQZXPMWM5+JWaoixTL3Moju2om9k15BtiYWGm+mWe8gWgO2F0zrsYmEaaFct1irw8cge+HImEV4D6d9uyNjLY8mkzF7U7pJwRamvWkbblF83JGxy4uGz6Ito7ieNIZ8EEPa91BNhx/RyqVZOtd0Nfx0BonAQz6bQNZLU6jQJB9eOsf6Rn0SSbiCcalkTGUgky6SlYnVIhg+FPi7v0NFj7sQbN8CJKIktRnTsxU6htCen9dSy7EwjgxuRmuPyX5GmUKdhyPz36PMR17fCcx4ZrFLPg4+C0a+nF1jImB6mUGr5F9FE6etWyPM4ZyQvXBkzMLaZHtPjoy1PC6YjNl9ESxt7U0X37yNY0VLWzgydnlQ/DyuBCifti41hqXz3sDn/88XUJLyEWOUbIpGMHoK3/rGv2DOguXU/zjyJAXxmjh++79/DjU1yfB18rOkd7mg+7IiFN+ffT7FxwWF23iWjNmh/QuCyokb2RSllgv88D2u3buBu+9F7ot/ivKuPZDffRC5ZJL2NcWjaV6bVo5OJTw7FH0PNq/hSxumFfQZL68XAjymWh1BxYr12DByEkq27EI+rl7LDLLUea3qr/lpeS2p0dJkrCEBU09YB5kL1rAeCfn8SdM7KseV47OS5TUfbWejJsuGip6JYRwZkYE02N4hEeFhw5w7IqQpjoxZ2Dpl78mRsZZHk8mYLTxBjkKLUuomzyhQhksaFoQjY5cHKncRG5W3tvZ5tWXY+qFto/kNavFPX/sKnnx+PGo9KpUXxcsj+uMbX/kqYiQDSNZh5KDB+OE3f4hf/+Rvo7IqgRQdSlxdQ60I3YsVQc+juAFjf9s4VlesqEyWLFnS/DqjuV1btiP7+BOGtER+cT2C12YBNXXwUjFel5ZOZUfDqEVgsx7NpHk+0ussYj7zE4sBRytR+dZ72Dl2MirXr0c8VoOMiFjhfhqTZofmgOkNSBEv2wMmAnaBw5Atns8WwPnyWx7bh7//33+GEeNmI5FNoC6oYyOmBt/7xncxcOR4BGk+z2QGuUwlnn70GTz26ESkSdAytN8dE2JejoxZ2Lpl70lf1vTUWGNZqPErMrY1frgdkDE1REXFdAVCf+hWdI5ssESc5nLgonrGRMSUyePHj9P+DUTfvn2xceNGE6Y4cjKWmGlf8e139mw69mG0JbF5F4rDtFW49ouPtRVRuQu2zJVPlXljcduCWBJiy9SWsaQhsrkotsxagat+9yoc2nUSx0rW44uf+VO8tXs175v3nCrDhMFP4a5778JnPvtFVJQDET6mSO4iDFozwt6PlXSa5rygN1bBdf/2edkykdjwlmjApGiwYyRcSY/5OXUM2SlTkPvnr8H/279H1e3dUDtlOrD7AL05jWtFLVBaBVRFgGOlyK7djMNvL8SG8dOwZ9qbSGzeh2xtBNkgBX0IOZ3NnHHPDeWSIfIlsiXSpflfehNSE/I1Ef8SesBU3lasjrc1NFaeyqvqkvYbQh+o/uD10fidP/p/2BxNkXTVYt07M/GPX/0eqniLmlO5ZfU69Hn0PvzOb/4R7rt/pGnE+CyDjgk9d0fGLIrrmKSjkTHZXetXBdkG2e+WxAWTMUmKhk/OpXfv3uajwkeOHEG/fv3MMTkR62wkKhRt1covfpuyLYsK3m6tgW4Yp62IzZu2xflty3mW2LpRTEwEhZ0BL2Wcx6Db/hXf/PFAPHnrP+G2Z6azVV+LiO7VJxnw4zh2dAc+9em/QGmFCIekZRXnfLD3KejepMj6DuXcuXONrjz33HM4fPiwOaZ49tlZUZlc9DDlOSCHK0KW9WiCkilk0ylei856+05g7BTgW99G/k++iNh//hfKevTE4QEDsXnYcBx8YQpSCxYCWw8hH+M5JHPpFI2knJCvYUutV3aaUDYmFwQRLw07qudLbz6q58uSL4U34yR81UErKvu2CJWf1Wsrtq40VrZ5PR8vg59/+2/xvR696Vx83PHD72LBpkOoy4pE5LFlzXoM7PMorv67f8UDD4xBKstGHNPtmNB9OzJmYXXW3lNHI2OyBbLZEmuPWxoXRcbkVMQce/bsaT4mrN9jaCS1r+Mia0I0GsWOHTuwZ88evPzyy9i+fTv27dvXZkUfb969e7fJr90/dOiQ+d1Y/LYie/fuNaI827wW77c1UV61VW9qWVmZURxVdtUd7RdDyy74qSyqa1bhnz/1P/Gb//h7qCjzkA4ijE8lIpHQp0jKj27Af/vM3+BYlbVLretUra7Yfd3fhg0bcO+99yISiWD06NEYP368OaaGjbZSfMVTGWjf9ozpd7OJJgbR4Kh4zG/NH9LQpUgxyzOgMcwdO4q8Fo0d0J8E6JqQCD38IPIvTUV21uvI79sDHD3Gc0gIWNg5pZnh1j/dAND9FO8X/66XEyeQ378feZJOzJoFDBgAdOlymniJhDHcfHOzuvrj51+C2DxJbN2T0dW2GI2d21pi82eJo/KtMJvPM+DHSLozOLJtHf7X//gDTH35Vdx+Ww9UBaQVjCsylvd4brYGd3bphfvuH42khikb3H/Hge7bkTELW+fsPXXEYUo1hKtpd6RrgvStJXHBZMzuV1ZW4sc//jFisZhxJhMmTDAkTE7EGouqqips3rzZkLBXX30VmzZtMvttWbbS8O/cudM4wnfeeceEKd/btm2rPy4pPqc1RflSfkR61Uu5YsUKs69yt3lua6LylWzZsgVr166tJyNWQYvh0+BR75Gq3oy/+PWr8Dt/8k3sLo1QZ6qRzai3iXWOOlzx0Wr85q//PQ5XUxFlNPQRxlaEvReJJVnTp0/Hu+++a3RD96/eMemMGjMKUxmol1nPb9euXZg5c6Z5hpZsN4cc3rkPx7bv5/4BbDl4AJs+OoBtB0SQ9+Dgnl04QNm/90w5/MFanFj4LqpHjUDsiceR7NIJ/ne/E5ImSvCd7yHZuStSXe/gtjO3XcMtiZUV/ZbkvvSl+vP873zHhMXvuw9Vo0ahlDbiOOtwY/luTtlPAljcODh48KApb3usYfy2IjZv0m3VE2tnG3MS2VyoHwkemtTjJurGr2H0snUk32nzdqvm74uEi4x17dwD96lnrODrOibk2xwZs7C2y95TRyNjxVAn0+VAk8mYhW5SrTG12NXKF+GSQRg2bJjZ6pjt2rMFof1ly5YZpmlbcm0RNr+6jxNstYs46H51P/aYhcLbApQn5UWiYS/l295DW8ljQ9j8Kp/qLRIZUb1oLL9a4V1krPeN30b3PgNx/be+gR/1eBZJGhWzfILHOsfHEjm2Dv/903+DQ7QJepsvR6fTmrD3aCGHOWLECNMo0b0ePXrUDFdKj/RbomcmZ6syUd177bXXTO9hMZG9VNm8Yxs27OSWZHDTjt3YuHO32d+xfSsObNmEHdu2YtPOHWeVjzZtx66t27Flx3aeux0bdu/A7mWLsX/+O9jz1pt4//nnsef11/HRnDk4xMbM4blzz5C9q1Y1mq/LKSK4EpFekeI5zOvSpUsNIbONx7Ymyqe2yrMaMZqDe1JDuURjepPzY/CCBBIkXJPu/AV+/apPYNCcZUilVd/om3hKPRnr0gP3kowlGdbAD3UgyLY7MmZh7Ze9p45GxtatW2f4zZtvvolj+qIJoU6DlsRFkzE5l5EjR5rJ+3IwkydPrj8mp6ICsPtilsuXLzfDM4rTVqE824coYqMeMe3rHnQv5qEW0FbuQ/mwedGwqiqO8ikC2VZh86s6tHr16vpKrjJuiAyLfN2cUfjjv/oT1JblcODIu/gfn/os3tlNBaEiZVM+9AJg1bEN+I1f/XOcqMsirYnIbeT56FnoviTz5s3D1KlTTX0S4Ro8eLApA0tGbT2TKEwEofill+aQZDZAlOKRwWY91nWWnZY50BIWfi6FNAOSdCxnE80383yeR/FYznFf4b4x1LF41PTMSs91X7pecf1smJfWEpsnK+pZFjm2dqv4WMNzW0uUl+JG7vr16+sbXpKGyGayiOXKcXjfYvzDn/41Fsyci69+/xeo81Uf84aM5UTGcjXoIjL2IMkYz+sIZMw+V0H11DS2NV/OyyIVT2HJgkXIpagYJAe5rEqE5CNbiyjpwN2D7sf1T3Qi9dCXLHIsLy2aXLA1KlQj3C8yZYYXFQgSuR5T47OkJEgzKnMR0oM41h/YgGtvvwblXil/XfhH9e09BXmSJuaUOSYVq+JeOT7ctwLPvjCEeU4wbR91JDwXipCOJlhHYkwjbfK9tWwvftjpWmw+ssOERfwa3mIaKT9SOKvpCJiCl0+gOlXBK6QxafZ0PDPpOVLJFMtHRIw2UWXNAvRF2s6BxnS3MlfNUk3gZLYM3Z65G8cyFSyhDGrzvCMvTbtIlsxnk0+RlEXTmD9/Pj7xiU/gs5/9LH7jN34DN954I2bPnm1GAgXpYXE9ag5cNBmTiGRpaEwt+Lq6OmPMVLEtEaivIAwXSVDFt+FtEcXGWIWuoVh7D1Ys2tI96FkINTU1Zp6e7sOWdVuFLeeSkpJGy9ciiEXwt1/635jyxlqqK8s846P3g7/A3/3D9ajSIrAeW03JOD7atxa/8Zt/hiMlWdTw/qNaU6kVoXuzdURbEU7NP7z99tsNKevTp48ZstQ963lZJyux8dWA0fO06TQL1IKm49FisKo1KnHmlP/opGkSczLUJF1nE9FmabeSUY9Bjs9D61fpQ+MRkjERSJExe0/2vpr1HpoByo9EeVMrWG+Gt2W9sXlVecq+aqRBBNIea4h8MnS9P/jGP6L/yBeR53P62Xe+h6V7DiJBZ6Z1+PIpOha/Fl1vvQP3PjKaDg8k283nXNoqrJ7ZfZVpJq1WCQMo786Zh7ryKlb0dD0ZqwtqUBlUYsCUIeg17CEcSZejJkdCFmSQYmvQ1BsRuDT1REvw6IP8hev4YmAMluiyGUPicoaMxbhXka3D8u0r0OWhTthbtockurZedxqKTfNsEpIx0QyRsUqcjB3E2l1LMeH1cSjJVKMyG+GRxtM+p5CGsZnGPMdI8EiauD2cOoUbHrgdaw9u4D3UoCJRxjtiA1nSWBqUxvIsUUmkczGUx0tQ5ldh+sLXMWLmJFLJBCllikSKV6eNyWjNRD9slDQmVk8kxeEV2SqmVYNT+QoMmDoUp5jfKqZdx7QtOdYn3cwq1Zm8maJ01VVXGfn1X/91sxUxu/rqq830EfVK65k35xDmJfWMaYhFW7XitZUxkyhOQwcj59KY0WhLUH6VR9NSYp6LHYr2FWbRVu7F5sPm0z4PoS2Xt82vVRpbbxrmecGUAfj3nz+KcuqJzEyeihJUH8fff+H38PLS3chHyvA3v/vf8clPfQqf+OTv46pP/AH+77euRc1FtP6aE8X3YuuSRPOTNHdMBED1TM9LumHvX2Whrc7RvCAdL653bQk2nxLtK6/Ks+qfwuzzbctQ/tQgKCaQbRm2TE+dOnVGr2lD5OOH8MqkSfjLf/5XRD3WKS+OGZMn4Etf+S4qWC1TWZLoTARI1qJXpx7o+fBQ1ErHcm27EdccaFgvVXf1yTU9ed8PMHrkKIwaNhzPDeiPfr2fxHPP9kPvwU+gz/A+uO3BTvjp3dej95hB6DNsCAY8/yyGDH0OQ597DiMHP4dhAwZjaN8BGNJvAAYMCKXvoAF4tv8QI4N5vN/ggUZ6M93HBj+JZ0YMQL9R/XH7PbdiwKh+6D+iN/r379+o2DQbysCBg40MGNiPaT+JfoOY7pCHMe6l5/E0t7f0vBl9Rwzm9frg6aHPNpr2uaRv/6cwYMgz6DPoaTzKtB97rjcee74P/vP2n2HAuGfx3KTh5lif/k/iiScfajQNSWN5lwx+tg8GUoawLAaNG4I7H78b3Z+8B0+NHIg+I1lmI1nOw5/H0KFDjTSWtkRLbUlsuja8z8in8fhQPsNRz+AHN/0Iffn8eo8cgMcH9cag559D/2cH45nez2DwMwMxbNBQ3H333YaA/cqv/Ap+67d+q37/05/+tNn/oz/6IzMKINjeskvFRZExa7TsfBc5E22LxRqJYrHhSqMtwjpMe38N867wtpx/5as4z201nx0BKntb/vZ5SE9EWFSXtG+HJ3VMdUvx9dueK7KmrY63Vdh7U77tvdh9+7stozi/trzbImw52npixZZxw3yXn9iKz3/6NzBr+w5k1NpPJZBI1uAv//RLeGbCDKTzWUwdMQS/Tcfya1f9Gn6FDZlP/NofYO57SwoptF+ovGx5qvxUplpfrZb+LM064HkkpNmcWcRYXy/IBSmkcjFEgzoS1lqUZatQ6UUQCfSChIc0ddrnOdk0G04UmB77074ko15ls2A1r+vneC1dL0Aqn0GdF0Uin0J1phpRpl2bqUQyFw7zX4hk9WUFSsD8eNk4Lx9HOldLqUNl7CTKYqWIZTNMP8Ft2AN8YZJEkNWbuBnmV0O0aQ0sYl/pEZTHqxEh2U9kNE9R3wgOO2cuRIJsAimWqZ9PotarQ2miAmWZGpZ3EnVBErEgzXJmc9w8n7AR25iYZ1nYt3El0aAWVekKxFi2p2IliPE6dYGeqdZH9JFkuaUSKQQpPkM+Jw1JfvKTnzRDlNp+4QtfwHe+8x089dRTpvdfc3v18pWtP82BJpMxq/zF+7rh4m2x2ArfmOh4W0RjeS0Wa/jaKhqWe1st544AqweCnoV0xBIwa6RVn6zu6Le2Civ+LUPSVmHzafXC5l3b4vC2DJtvPQdb5m0RVp9tmeu36oZ+N1rGfhw1gY94Kk8HTMcU0NmlokgGWTpO1is6ZH10H+k4nWeWzgh0TGwUmIHr9g1bjoKeu3Qyxa36BNU7Vv8VAg0v5vSSUILlwoYUJUNhSdKpp0jGMsaJa9gsIBnLp/k8zHIhPLeoGPXT/PlYeA7ViWqmSzKQj9dfI5W98DlXJl0jvDeNIOQ9pp9gUAqZfAwpkg7dleZ3xjQcd6FgWegLHKxtTEczyLKGjGmoNcGtrqZjWorIlNsFIiCZ8zxN0dec1SSF5IslEhPxY1knSAQzJGM5rWeo14GbCPusVabJLOt/LkoyGkWc5C9BQqZ8SxfMULI5gUVIwqyhSPWAffWrXzU9cZqGJWjaiOyFoLqj3unmwkWRMcH+bhhu0fC4xBqUtoqG+T2btFVcSXlt7yguf7tvyYnEkjD72+pG8Vawit8WUXxP2i/Od/G9tGU0lu+2Cpu3hlub9zPA+lVHz0K+QKfD55Qn2TTLwGheEQ/TAZmDWR/ZDBsHDFMHml7KaO9QedkyU/0Vuc3kNEGc5UJJk8QWSpZCkpH1yHHYiNIcsXQdyQwdO/dJeQwFMY9BYqLzD8tQhCFgmhKfJEZzyEIJj5lPjWnSOAkHnxIyJEvxlJ4Yr8Wc6Nk2JjbvDYWnFYRxSFhyesvcTyOeiCAaq+FWxCzMoqSxtM8lOinPNHWfulXN3UqzDqlXKcNtIDule9eaKZTG0pA0lncJCyQUlmjaS6IuXosa5luEVaK/ITkOpbG0G8qZ6Ydz/yQiqrqORM9AjRprZ/Xd1nQ6Y6ZbaNFt2/slWOKl35qfrXoj2GlBl4oLHqa0MDdINFYIksZwtvC2gqbcg4ODg0Nbh9yEfJv5QLhMNe213kJTL5ghEMaryklJZO+MvzWOtr2j2L7bfZVXimWhYUfRIw1b5tR7mAvgZ5KMI8KRIc/wWI5ppBim3pQsxTSs5A9FQkRm6dD1W8ckprexQFLMmy9mn3FEiEnUApJifaTfN2vAUZi+/Kvypa0lA+cEowRpXVv7vJ7mwPFesnrVnHlQOolkiukrzdP3beV88BIi7sq3zmVZkYBkSPpUTrrHTIYkh8f1Uo+pSOfBx66vMmRamZTKmvfMcvc0LEki7FPSaZJJ3g8Lgzda6Lk8BxqmnwvSzBfPpwR8dpmkltnyw2dsnjW1QvFYbgGfocrLki3bY67nrHC7tfvNhYsmY+eD7UoPbzB8OtpXxSoO17a1UHxtmzdtlXeJGLPyaPPfFlFclhJVDnsfbTXfyp+tB7ae6HdzVmwHh44M9XTpywhpEjAqmP7Dk4MWCdBwk+wD40norvhHXpbHOgQd+zjEYdRfUt9XZQiMyklHcvBEvkgOYrFaE1ulV1JaanpF8ixXOfOQYLFE+Tss31CUniFIxWRM63XR3sXqapGKawJ4FqmUel40dzFZbxe1bZJdLDxMzXdS+jmP6aRJoPQ4ec3a2jqzX1cbY14ZZOoE88B8Ss4Lk3YWkao6JGLJMF0ioXlWJGX6nY6l4KVInkTczgN7XZsPP546XS4sq0xGL/xlkc7oaz45xKJ1DGc5MK6R86A4bXOf+h4vyzpSWcGDPJ9SW1FBgkd/KV9fmD6i29Izaw20GBmzhWG3craCZZX2YbQmiq9v82nFzsew4W0VNo/F+bdkTNIWoXzZPFqjI7HhDg4OlwapPi0BHZwcIx26/jJMvRjyxup9ULtf4dQ+nqAeFNm8tmvrWhKylLI8uvus7BDLQTZJ9skuX2BJUW1NDYkuy7RAdqJ1EaST4ScArd2VQxdlqxemp3R1LCRkjCESowv6bJhqv4Bk4e1qe/2mkDF9mkx50YsEFprHJj/WcPkF9f4U21yTp/MgTdJlCkhRKSUnShBkeC3uJ+NJHNx3wOybeOdP7nQ5FfKhcvDN2m48xoqaSaVN+XrcZnn/IqyGjJlGw/l9RHHaEpWF8hWtqUUu7eHkoSPhtTIsZ/Xw8VqmzHmunldroMV7xuRcNXFZK/Vrq3A7RitRnKZUhpZA8XXtw9O4sPKo/KoS2/uwx1srr2eD8mRFeVX+LeFtq8RGZai8Kb8ae9eyArYuSDoiVCZWinVDYuucLRv7u7Vh81ucL+XbhtnjVtoKbH6Ky1f5tscs2lKeBVsvbN4F6ZBgf1sUagz/yzkbWmZE68uZHjDdsw0zXkm9G+FwTEeEblscKdyybAp1Q+WtVQPeeP0NdOvWDU8+8SSefro3Xpn+MglZFpVl5SpA8tvTyzeFa/idKRrS1ELUhpDxQuE3YQNDaMaNGoP77rkPffv1w/0PPIg3Z79d73e0bQoZMza/QCB9nct9rWPYq1cvPPHEE3jsscfQvXv3wluA4Tek///2zu23quOKw63Uv6BSRR9CJUBCCKkktCWgolDAKBWUlyBVeUAUqEQKBTlck7oUF2iFKLKNqMHQCglaQIICUkmjcFFKuYhbBUIVlxgID+0DxRgcLr5xjFmdb+yfs3Ni+5w0mL2R12eN5+zLmVl7zZqZNbP32UNA3mLKPDrv/Egh6ANH6djRf1jp/AX29oJSW7p4sV29dNnq6+7EGcJcK3OMvaN8JUfb4yBLcMIe3m8MB80q1lXYH2q2xM84Y+3xdmvQVy7omNuNBUimTbh9545Ne2Oalf+q3N5ZvNSq12+wi2f/GR1hZuNYOoyyphZ9tiY9P/rUGZMhswzM2rVrrby83BoaGqLhJBuWtEjmzWemnHEUz549a8uWLbM5c+bEFyvKiUxb3u7A0JAZ+MntzJkz40OH7NP+rEH5o0eWmuAt9Lt37466V8Xpj8i24m2PEOOgMiCQc02gPDmWFR1JZmLku337dvzVEfWFfSpPziFkBckt+ZCXX0nlD76yJDOoDcIO0DOL7Ge1XXrhQH2dIWkbsoW35vzMKiurgr5Dx/7fOnvzx2/ao4b7sed+cK/jFiDwIHv4xuecMV7yqrf1K/04Mxa+N2fWT+3QB4esKdR9nOP7CTskpm4VIkhqLbyGI/w9bIyvx7bKqipbtGhRPI6NcxZr+X5+6aZO4XuFuxg4fEj41CZNnIiiYjhz+rSNfOXluJ/bi8SFUL6Sg8fBcjhkNG3h66XzS23q5B/Zx9euB+cu9MstTcFBpj9j8PHpLGJPJNMm/OvKVXtp4Lc6JAv//rpnr730jQHxF7C8uDrX1PnaoXCwLZyfBn3mjNFAEHizdU1NTTSqJUuW2PHjx2NjokaEuDhjePYk8+WzHALerktnyDtFeN+I5OVYWrImQQY1wMhFwOlFz7zZnU6Fa2F/FkEu1tpbunRp1DPyomNVnP6I6guNJqtVlJaWxp9UM4BBPzouO8wCkgWZWToMmefPn29btmyJx7IkaxJkou7Q+BJv27bNpk+f3uXwomedkxWQCXnQ9d69e6NdVFdXx4XOOeZ8SShrpsYw1xh3tEWttP1he0P1Rvv9xprYmeMw1GzYaH/641Z7UH/PnnT+yjDafHuop3ToicB253vp+S1fx21Q0u90xn7+1jx77733reHhI2t90m6NibpDXIwzFr5hze3Nlgsx7iChetOm+EJaLuluQ73V36uze5/UW453gXVeHzZVjJ1zFQ8e8XqHJ3bt+kdW9ot34mxVU+ODoI9csMPLQdZWa+E9Zk0POr7UC8q3S46wr7k5Z81NbXb40Ie2Yvmvbfxr4+23q38Tn+niYXvSl1YLkUybcLG21ia8/kNreNRod+sbbPGCt2329J98xhmLdT9oq433wqVAnzpjKIHlknbs2BGdA34qymxIsrFTnAbJfPksw6dQmF3CeTx58mTcn7asSZBBjTMyIR9yMsNEI62VEbIga3cgFwtgayHWI0eORPvQ9fRHKC81wKzzyiCAz4xsr1y5EjthypxzsgLlha0B6yTW1dXFgczUqVO77JKY87Jki0mZWHibN3RTb3iTNuWQVZkJ2AL1htv71BnsImuyvpCgv26csZbW0FmHzXfLfmmbNm8OzllwfMP2jm1/tvJ3y+L5j3leLJwUyyi6LZ86YoWcsae5dltRttzGj59o33l1jH139Bj7e2efQ3rExTljuGFt9vgpszvt9knjfdu4uca+/crLNr5kopW8XmKv/WBsdKhybV/8NmXz46a4yPy9e3fsanC8Kip+F/YGXQTH5UlwknJttE9cXccVF0L5So6WVt6pGPTT2m7r11fb+3/7wPb/Zb+9+r1R8UW2KLo9OH2k38L78QqQTJtQ+59/29cHfNOmvjHNxoz5vn3tK1+1jz+6HgovtKe54EAHpwxdB6nIqTOV50ufOWMoACPi1tnOnTvj9sGDB+MCnHyWslQoaZDMl880bIAzdvToUVuzZk3cR6OXbKTTBhnkjBGzhuaKFSvsxo0bcTaP2xeaacoiyIwDxq1rZlR4FoMZVPb3V1SW3C7jVvO1a9figAA9cds8WWeyQmy8gkxyFHHMzpw5E2/v5zs1acpN/oolE7Ij7+rVq6MNUn+QmZA8P0tQp7EFBomsb8qyWtT1pMzOl0d2gk3H2ZIQs7ROZWVl3E+95NEb9K+BO3BeT+WQv59tpb9w4cI4YXHz5s3YhnMLmnwUiilb0gLsWuluDs4jg4xbt27F92axFBvHkTd5jYRC+Shd7mSwxi7PoSkN0quoqIjHNKjuifxjSRmQmcHGkCFD4rNuc+fOtWHDhsU2RXmRfjHofNJFdq596NCh8dEPHj3atWtXXNKI9hY4h8D3qE9p0GfOGKCI2traONLnIlkzivWc2I+iVMBpkTQMPmMMyHT37l1bt25d1/Nt7Ccgc/I7aYEM6I0YmZiRoNJVVVXFJRv2798fjZZjWQTZuV3N82LcgqNzwflAx/0V2RY2N2/evK6G8/Dhw3bu3LmoM5V5VlAdVmBWjIeEL168GBto9um60pRbeRNLj4R9+/bFRpmOatWqVV2DmCzpWEjXDG65fU19of5s3bq167jzbKD80Sc2gs5h+fLl0UboyE+fPm2TJ0/ueiu7BvF65rA78m1Ktkg7PWvWrOhcqwzZz2eFYuxR5/BdQBYcRpymS5cuxX6YeonDB8n0i8lD18WMLEyaNCkOYpgRZwKAARjQX8o57Y78fMhb14suRo8eHWeqyY+0Tpw4ER9/EIWcMdLvLlBfBg0aZJcvX44OHxMBAwYMiM/kqhzU/yBLGvSZM4YCUCie58qVK+PIoqysLDo6KBkFEKSsLIA8GBLPkJSUlNiMGTNsz549UV45ZZwDWZEZOZCJBoEREHpGxz01ClkA2ZjN45kxRps0GtKt9NvfUIOInVFfGA2iC2Zu9FwQekuroegO5KW+IBMjTmQ9duxYlJPyxCZV19OsL8pbdQX5+HzgwIH4jCWDmHHjxsXtrDpjyISe0a86Kx77oP701zrTV0jX6JUYO2awy4LRhClTpsQJBsFxOWQ92U7+frZVbswqUZbcJmcfjhT5KvSUZj7JNIlZ0mfw4ME2atQoGzhwYPzMQI+F8bEfBc4tlAf1WNdIzACR9RrHjh0bHTP6HNItRH4+0jPXzOL3LD90/vz5LqeL2Wse1eA86UVvwu8O0k8GwYzj8OHDbcSIEVEXEyZMiA6q2ifaMTljadGnzhiFRoyTwE9qUSIXrI5XBZFUWppgAMjCLbMLFy7E57CYkqXAkDUrciaRDqlU6JXZiWIrWFpIl8jKg/xUBOkeufsjXLvqBbPHjAZxbgjMllGm6E0hC6i8KLvt27fbyJEjbfbs2XGmkxkE6g3XhOxp2qLylrwEZEJuGntG9zjAuj2Upqy9gT7p9BjE8GMdbm8x68H1ZFXmFxF0iR3IVnACsBUCdsOdCMqCASXwWTHHuyO/fGSLnK9fIIPyVT0v1h45h7QIyEEa9LfIzECJbc1qkZf6YcnM8d7yUboEvq81GvmME8lxPkv+nsjPQ+dLZmRNXgu6p/2jniIvxwql310gfeoOOqG/kbykT3pJfXMsDfr0NqUKj4tTIUo5uuC0Lrw7NDIhxogpGMmPzGwTg+IsgCzSNUinvRltmiAvshFUwSCr8j4PpBPKDjtjEMCMGA0R+9VQcB5xFkAOyg/5kBfH+tSpU3Fki9wcl+xpIvuS7oilb3WwDBiTx7MGsgKycjuVWy04kcgqm3GeDbID2a7aVelYtgPoHqdM2z2Rb1PJNIjpc+gfQeWpkP/dnsDJSKJt9bukC0qTWNdYTD6SD3BsuG6+g35wopRGvhxJ8vOQDIDDhaMLtCug2TBsXbBdCF2f0icdkFPHL9aB4xzDSUteXxr0qTPmOI7jOC8S6sjpxHE01JGzjdMBdNw4N7plJkdHTkQ++U4I20knBEiD/f+vMyYZcOxIk/STDh6BY/kUm76uDWeL7xCTh/KFnq5f5OclPYPSYZvzpFvKgGMMnL4ISlvXzoALJCP7+Kx8gXz5Xhq4M+Y4juM4jpMi7ow5juM4juOkiDtjjuM4juM4KeLOmOM4juM4Toq4M+Y4juM4jpMi7ow5juM4juOkiDtjjuM4juM4KeLOmOM4juM4Toq4M+Y4juM4jpMi7ow5juM4juOkiDtjjuM4juM4KeLOmOM4juM4Toq4M+Y4juM4jpMi7ow5juM4juOkiDtjjuM4juM4KeLOmOM4juM4TmqY/Q8Hx6vsMdnR0gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('./image/hierarchy.PNG')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 2.3 밀도기반 접근\n",
"- 연결성과 밀도 함수에 기반. (밀도가 심하게 다를 때)\n",
"- 예) DBSCAN, OPTICS"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('./image/density.PNG')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 2.4 모델기반 접근\n",
"- 점이 가장 많이 들어가게 하는 모델을 찾아라!\n",
"\n",
"\n",
"- 생성 모델은 각 클러스터들에 대해 가정되어지고, 모델 각 각 서로에 대해 가장 최적화되는 값을 찾으려고 시도한다.\n",
"\n",
"\n",
"- 예) Gaussian Mixture Model"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('./image/model.PNG')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 2.5 Spectral Clustering Approach\n",
"\n",
"- 데이터 집합을 가중화된 그래프로 변환하고, 스펙트럼 분석에 의한, 클러스터들에 부합되는 부분그래프들로 분할한다. \n",
"- 예제) Normalized-Cuts"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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yhf7C9BcZGd2guHszxioYfA0bh6oxJwnxUE38RnV1wAEHxNDiP/7xj/LdzqAivxOoT/nb3/5WvmqCp54KYbbZJiWdlMfpcxGokONnP/vZ8Ic//KF8JyOjM2TSGcN47LHHwjKaRQ4hTJz261//unzVHwgp6jggVDYcgHx4PY35n/HLLz+pPDr9f9NN5Rr9AWIUNszIqAKZdMYwTFj2i1/8onw1NNAAU98tzUF7jacKz2G//fYL55xzTvlONbjzzju7LnzlbVESJsRiT12XE9kUy4SvfjVM6MEMoJPDXnvtNeRh0IzRg0w6YxhLLrlk+d/Qg9KL59UMQmFXXHFFDGNdeumlHbVN2WabbcIHP/jBnkwtsNtuu8Xi1yrw5z//OVyUpiooiGZ86d1MOOOMco3+wjkbCqFJxuhFJp0xjOEcMjElwsEHHxwWXHDBwua+qQ5Ly2abbRYuuuiiSbyDgaAuSP5mRIDnWRxfIpugi8OTT5Yf9he8wl122aV8lZFRDTLpjFE88cQTsTvAcIMaFuG22WabLXx6q63CHgcdFPY55gfh5MLTOe+Wm8NpV/487HvssWHHgkgWXHzxsPzyy4fDDz+86Tw1J5xwQqytuX4IalnaxQQdCyjoPvzhWjhtuunCy4XB/0mHIoVuIQR50kknla8yMqpDJp0xCsl0Mt/hhEsuuSR6MWpfrn/i8Tcr/JtV/Rd/iZy/e8rJ8TuaSNYLA4zS+yVQuPDCC8ODDz5YvuoA99xTK/Tk2Vi+/e0woVQUElr85z//if/3C/JT/cixZYxNZNIZoxiOo1heywzveU+49dln3kI0gy17Hn5YJKo99tij3FKtDqZf0NiyGwKfsPnmE5Vp4xdaqHx36KAx50svvVS+ysioFpl0xih+8IMflP8NPTTD3GCDDcKqa60VHilIZLDeZo1LWveCX/4yzDH33H3pmF0JfvvbED75yTB+qaVqhPOlL3E/yfnKFSYFL45goVFWPTnwkrT4kSNDJEQZA+XBfL7ppps2bQOUkVEVMumMURx22GHlf0MPHo4Q2VW/f+gtpNLO8p0jj4zbGaoOC62C0R9PIIBsimVCQT5Vg8SZgML5aFwWXXTR8Lvf/a7vYbuMDMikM0YxXEjHqFpobOvdd4teTjMyaXX55YsvhOnHjQtzzTVXufX+4Nprr435qMlCCI5M/R3vqHUZKEhhQodhrHPPPbf8b1Jcd9114UMf+lCYcsopw4af/3zYZf/9w+FnnhnOLt4//corw8Ennxy2/frXwvKrrhqmnnrq8LWvfa1t7ykjoxtk0hmjOOqoo8r/hhakzEbfv3nllaZE0s5iDps9Dj44bq+dPmh9QUFME+fDmWmmMKEHbWzOPvvsSOBb7rpruOfVV+L5aHaehCSfKNbXIXuRpZYK73rXu8Ivf/nL2kYyMnqMTDpjFGeddVb539Diq1/9aph34YWDstBmBrKdhTE1Lz/S+fGPf1z7gaEGBd1UU73ZP+397y8/qBaXXXZZPO6NvvCFSCit5MWsc84NN0Si8t2/DEG3g4yxh0w6YxDmdNEheThgq622Cvv98PjwSGg+Km93eeCNN6IR7WcxqC4Cd999d/mqDoXnEVZe+c3czec/X35QLa655ppIGptuu2343b//3fS8DLQgniuKe2G1ddcNH//4x8stZmT0Dpl0xiAUXg42t30/8bnPfS6c8YtrwsMVkY7afQb4O9/5Tu0H+gA1OpPkyMjRp5mm5tkgnHHjtFgoP6wecjgf22STSNyteDiNi+/wjmaeddaOpnjIyGgHmXTGIOaff/7yv6HHF7/4xbBr4ZVU5en85pW/RU/nkEMOKX+hj9AUk2R7gQUmejdhhRXKD3sDUw3MU/yeY++EcOqXXfbbL3bfzmG2jF4ik84Yg0nLhpNc2qRglFZVeTqnXvnz6OlcddVV5S/0BxOuvbbm2dQvM8xAH12u0Rssu+yycfrsZuei3eUXj9SUhLogZGT0Cpl0xhhIZNueo7+HOO644yJJ3P78c+HhLkfqjxYGfqMttojb62cNipzO95NnkwjnHe/o+XTS6n3GjRsXvn7ggU3PR7vLQ//5d5iq2G9ElpHRK2TSGUNgpMhjh8vkZaBSHkmstcEG4XeF0WtmDFtd0kh9nXXWKbfeB5x1VvhfQXT/qyccfdR23rlcoXfQ5JSXePKllzY9H+0uwnPjZpwxXo9WundnZHSCTDpjCBo5zj777OWr4YMjjjgiGrrTr7iiqTFsZWEwv/SNPcNMM81UbrX3mHDbbW8STf2y447lGr2F9kHO27k33dT0nLS7OIfvee974zbzpG0ZvULxhGSMFZj8THhtOGKOOeYIa2+4Yewc3cwgTm5hMKd75zvDiSeeWNtgHzDhoIMmDamVy4QLLijX6C00NUUQP7r6qqbnpN3FOZyxIG3bzMjoFfLdNYaggPD5558vXw0vGLWvsMIK4TPbbx9+fOP14eHxzQ1j4yIPsev++0dj+ZWvfKXcWh9w+OEhpA4DaUkE1MHMpp1ACMxEfPsdfXTTc9Pu8tB//xOmnmaaYaVuzBh9yKQzhnDggQeW/w0f1LerkZA3ypaX2Xn//cIfi/eMvhuNo/d4RM8Uy4qrrRa/s/vuu9tEXzDhscdqHQbqvZzi//jevfeWa/UHH/nIR2IXgmbnqd3lkt/cHc/lxRdfXG49I6N6ZNIZQxguE3Nptb/33nuHvfbaK7zwwgvluzVoPqmFzeqrrx7mnHfesMZ664Vt9tg9fOvgg+OI/psHHxR7iy1ZeEXvKkb5m2++efNuAL3EJpu8STZpQUBDMF2E8zfnPPOE+19/vWvi2W7Pr8cw53ApHM4YncikM4bwox/9qPxvaLHZZpu1rI763ve+F+acc84w44wzxsnF/CXpvbfPHsVEFF7AxD5qDaQzoZvZQ7vAxhtvHJZ93/ui99cJ8fiO3nfk0sNJ2ZgxOlE8LRljBboQDzWWXHLJjgo3kRSJ8JBLeddcc9KwWlpmmy1M6HFdzkAwC6yQ5Hbf2LMpqUxu0TroY5tuEhYaBrOWZox+ZNIZIxC2GsrZQs3/ovvAH/8oUzOCsfDCbyUcXs4JJ5Qr9B/IeOedd47Es+ehh4bHCyJp1eO56v77wvKrvj9MO+204fbbby+3mJHRO2TSGSO48sorw09+8pPyVX9BVTZsphroAhMefbRpaC2+NwwmQkPoyGOplVYKF931q/D4IA1ANfg8+YrLo8x8qaWWCv/4xz9qG8nI6DGKpyVjLOALX/hCePJJgZT+gUR7v/32CzfeeGP5zgjGr371VsWaRX+1738/nH/++eWKQwuiCl4P8llpjTWiOGDn73wnfKPwgHY74ICw0777hE22/WJ494wzxELaY445pvxmRkZ/kElnjKDftRf77rvvkIbzKsfaazf3ch5/vFyh/xhs+ga5r1tuuSV2oCCDrl/Iy//2t7+Va2Zk9BeZdMYI+tnEcc011wy77rpr+WoU4Lnnmns5H/tYuUL/cfLJJ4fTTjutfDU4EJBuFKTqg8HkfhkZvUYmnTGA008/vS8G5bHHHgvf/va34/QJowa33RbGzzPPpITj/6mmCuHSS8uVQvjd735X/tdbIJATTjihJ9MPnHrqqeGmm24qX2Vk9AaZdMYAll566XD//feXr3qD3XbbLSyzzDLlq1GEgkQn8W4KwuH1TLj66nKFGgg1eg0qtbnmmitccskl5TvVY7755gt33HFH+Sojo3pk0hkDUFTZS8jdHHrooeWrUYY555yUdCzrrlt+2D/wcGaYYYbC8bqtfKd3IELo53xEGWMLmXRGObSo//jHP16+qhaUUtrZXHTRReU7owimnV5uubfmcRRQ9nlWUjVWznN9n7pe4umnn875nYyeIZPOKIeCv15M3YxoNJsctVh00UnUauMT+QwQRvs/JNUDSP4LqT311FPlO/2BGV1///vfl68yMqpDJp1Rju9///vhueeeK191j7/85S9RLDAaij0HhO4CdYQz0dvZeONyhbfi8R5Ip6+//vrYxaGxKWo/ILymqPf4448v38nIqAaZdEY5DjjggPK/7kHZpN5nNHchnnD00W96NYlwppgihCfU8PcPyH2PPfYoXw0dFBWPKjVixpAjk84oh55nVeHTn/50+d/oxISXXw4TPvGJNwknkc5115Vr9Aek5yZnGy7kPlxnm80YmcikM8rRbXsWOYU999wztrP505/+VL47cjFBj7HCmJuILRxxRAhEFjvsEMI664Txam9Kohk/9dQhfPSjkhvlNwdHVWKKSy+9NOy///7htddeK98ZeujZN6rDqRl9RSadUY7BWqW0gk996lNDP51AlVh11abtbBLZ+Gz8AguUK/cX1GlUasMRJsvrRUFqxthD8aRljFaQvnbS/0zi+pBDDok9ukbsVAR//WuYcP31NVHAIouEMG5cCFNO+aYooIFsQuHZTNhqq1C4dCHcd1+5kf6ANymEZYDwv//9r3x3+IGo4eabby5fZWR0hkw6oxhCPr/+9a/LV63B+osURvqll14q3xmB+NjH3vRmmpFMk2XCGWeUX+4M3RTHbr/99uV/wx9CfxkZ3aB44jJGK7YqRu7/bGM2S2G0TTfdtHw1AkEaLjTWhFQmKtKmnfZNIpLLgQqmfLjwwgvL/9qD9jlk7SMFGo1eccUV5auMjPZRPHkZIx0m4DJlsWT/PvvsE+toDjzwwDDHHHOEa6+9tlxrYFBJ+Z6lX1XvlUG7lsMPD+G9762RSSIUf9dYI0zYa68wwehc2OzRR+NXJrz4Yu17QwiepE7cRx55ZPnOyMFXv/rVGH7NyOgEmXRGMORshMLMkWKq4iVWWD5s8sUvhq12+2r4wDrrxPd8pmcXQhoIm2yySXj99dfLVyMHE7bcMoTFFnuTZPylOjv22BBU048fX67Ze7zxxhuxXU2r2NK+j2AcfPDBI/4YMoYGmXRGKFSML7jggpFU1tt44/DzBx8IUv5KGNXGa5piOezMMyaSD2FAIzbbbLNwzTXXlK9GED7+8VrepiSb8YQCa61Vftgf/PSnPw0rrrhimHLKKeP5TcsHP/jBKH0eDM8880z538jFhz/84b6358kY+cikM8Ig70JFpHP0poVXc8cLL4THivcGmgvf4rPjLrwwLLHccuFzn/tceLQMM8GIkkNTdvFikIsuAQhnm230oClX6D0eeuihsOOOO4Z55503LF6cz9333z/sf/zx4bCzzozLQSefHHbae++w4OKLhSkKMrLu3//+9/LbowuayXYryc8Ye8ikM8JAJWU0/a0jvz8o0TQu1r33769O9HpelNcYYYgFm8W++xu9nDXXLD/pH4Qq31UQ/i8efWTA85/e93fBxRaL53u0Jt+vvvrqESWEyBh6ZNIZQTBinvm97w2n/PyK8EidcWt1sf6tzz0bllh++bD11luXWx3m0Pfr7LNDWHnlmmdTLBPWWYd6olyhP9B1ebrppgvb7rFH+P3//jvxfDae4/rF53f/5S9hi513jmR/5plnllsbXTjiiCPCLrvsUr7KyBgcmXRGEFZfffXwme2/FB4OE5oauVYXuZ9pSIeHOx4ujpRHY0E4/mpV0+cplan6kMaqa60Vyb7ZOR1sEcz8v9tvi9toR8I+knD55ZdHOXVGxuSQSWeEQJcAYZrdvvvdpoatncUIfMXVVgvHHHNMufVhiH/9K4x/z3veJJvi7/gez4DaDLxL5/0dU08dHvrPv9v2LtOCeJZ7//vDYYcdVtvwKASpfkbG5JBJZ4RAJbiR8g1PPtHUqLW77H7A/mGeeeYptz7MoHZllVXeJJxiiR7PELTkUf8kh3PV737XMeFYfPeIH58dCWy0tpK58847y//exG9/+9sYfiPZ32233aKwYt999w3fLQZP5513XrlWxlhCJp0RgsUXXzzMMNNM4ZEJ3YXW0nLSpZdEAzjsoPtz6vacFuQz11zlCv3F//t//y9stMUW4eHxzc9je8uEOHAgqR7tuPXWW8N7Ck/VPTbtdNOFz2y/ffjOcceFQ04/PWyzx+4TBRaWXO8ztpBJZ4RgmmmmCXMUnklzY9b+cv5tt8YH/nfFCH64YILpARBMnYdjGV8cexQUDAHUQt3/1782PYftLvJB719zzXjeR2tu5/nnn4+Tz80255xhl8I7P+MX14T7//H38GhBuGnA5P8niuW6xx4N3z700LDCaquF5ZdfPtx1113lVjJGMzLpjBCMGzcuzFaM9hsNWafLuTffFI3fsOoiXRiqerKZuBSGbKgw59xzR+FFs3PYybLDXnsVh/S28Mgjj9R+YBThrwU5Ozbe3BW//W3T429chB0tm++4Y/zuseqwMkY1iic6YyRgmWWWCeNmnLGy8NoJhVfhIR9WmHXWtxDO+OKYhxJzFESv5r7ZOexk+dohh8Tzfl+fp0/oBxQtI5xL7/lN2/mv+19/LX7XYqrujNGLTDojBBoseiCvffSRpg9tu8su++wTQ0fDAnfcQQ8+aVit+H8CQcEbb5QrDQ3mLEhHw5pm57CT5XNf3iGSjuQ69eAJJ5wQTj311PDDH/4w1gIdf/zx4ZxzzoltdG677bbw8MMPR+WitkfDGbpczDbbbOHiX98Vj7MT0cXtzz0bPrD22iOnhiyjI2TSGSEw+mOsdt1//44e6MZl2VVWCaeffnq59SHEE09MJJmJhGP52MfKFYYWSyyxRLjpqaeansN2F7mMRQuPdXIe5pNPPhluvPHGWOn/mc98JgoPDBBmLTxBgpIPfOADYdttt42Eddlll8VciOavJoMbKiy99NJh69136+re9N0H/vlGHFz97W9/K7ecMdow+N2fMayw/vrrh02+uG14pIviUA+2pqCECcMCZLOJaPRTm3/+EE47LYQHHyxXGFpQr316yy2bnst2F6TDoFahXvvTn/4U5/A56KCDwkc+8pEw00wzhemnnz5e16WWWip88pOfjN7xLbfcEgnp5ZdfDq+99lrsl1Y1TI2BSA8744ymx93O4t7WIf38888vt54x2pBJZwTBvDlzzjlnbCz5RJMHtpXlZw/cH+ZfZJFhMVvlhHvvDeNXWCGELbYIE77whVAM2ctPhg/U6Uw/blzs4t3tKP6Is/tTp6OJqwXR/OY3v4n90XQLUOulQefee+8dw3unFeR+wQUXxBlmEZgQn3mYvve978VpztXR/OIXvwh/+MMfImENBASHTG955ummx97O4jx97ZCDw5JLLlluPWO0IZPOCANjwHBtueuubRPPbc8+G42D7w91+GKC0F6xHxOGUJnWClJHgimnmir2XOuUeGJHglXfPyImPyPnfuyxx2KIz/QN5s4R5ltttdVieM/Ah7Bl7bXXDjvssEMM+73nve8NT1YkcjngxBPiOc8YnchXdgRCp2mFdx//zGbh9uefa/rgWpKBvPcffw9Hn3NOWGiJJaKHMyxk0qYpGCETx1133XWxuzQP8cYnn2ybeO56+aU4ud6qq6467AUBrcJxmP3UVA+m2Vj+Ax8Ij1dEOsdddGEmnVGMfGVHMBYrq7pnnWOOcNVDv5tkJO6v1/scU/OMeDjCJhmdQbiKcTVPjtl70jmuN5b1S/pMAaTzbxGmGo2YccYZw2LLLlsZ6Rx57jmZdEYx8pUdwZDjoa7ygE4xxRRhxplnCrPOOWeYe4EFwkyzzBKme9c7Jxq8G264YWRN2DYMYTpqHs/Ms80WLvzVrwbsOJ0IR33PfAsvHM8/b2m0Qg+/KaecKjxVEense9yxmXRGMfKVHQUgp/7Zz34WE8V77bVX2HPPPeP/ksX3339/uVZGFfj9738f8xhmDl1qxRXDLvvvFw464YTwQ4n4iy4MR5xxRtj+618Piyy9dJh6mmniusJQoxmaeCKJK+5rrQvBYAvC3mnffcNHP/rRcusZow2ZdDIyOgRZ7yKLLBK9n+RRkiwvt9xyo3am0IHg2Pc/5pimRNLWEiaEeRdaKHrmGaMTmXQyMjK6xtlnnx0WXnLJ2KZpsFzXYMtjxXe/cfjhYWWzxGaMWmTSycjIqARrrrlmVEgikHaJB+HsvN93osekLCBj9CKTTkZGRiU444wzokpy4623HlBk0WxBUJfedVf87nTTTVduLWO0IpNORkZGJaCOPPLII2Pjz7U/uWG4+ve/D7//738mEksj2Vh+9dKfw9cPOijMNd98cbprxbgZoxuZdDIyMirH6quvHj2XqaaaKvzwkotjR4bUM9Bfy1obbjCxQwYvKWNsIJNORkZG5dBKZ6uttoqEgljePcMMsYZs9rnnjtOuJ7JRZ/b448ptM8YKMulkZGT0DApqb7/99tg4VUcMXbHNG6Sn27CatTajb8ikk5GRkZHRN2TSycjIyMjoGzLpZGRkZGT0DZl0MjIyMjL6hkw6GRkZGRl9QyadjIyMjIy+IZNORkZGRkbfMCjpmEf/hBNOKF/VYL70O++8s3yVkZHRDcaPHx/uuOOO8Morr5TvhPCb3/wmnHfeeeFPf/pT+U5GxujBZD2dVVZZpfyvhiuvvHLUzPOekTEccPnll4fnnnuufBXCY489Fl5//fXyVUbG6MJkSWfVVVct/6vhqKOOCrfcckv5KsSH49FHH40Pir/Ddal6/3pxvMN9H4fzMaftjETvoJF07r777vDQQw+F3/3ud+U7ITzyyCOVnn+tZ5q9P1yWXtxrVR/zcH4e0lLl9mzrySefjN55N2jL03nqqadiGOD//u//4hTJcPzxx0/cGQ9OFcszzzwTnnjiiaafdbI8//zz8YZr9lmni4tgu80+62R5+umn4zabfdbpwmg1e7/Tpepj1galqutsW+7BH/7wh+Hf//53vDdHCpCO85rw8MMPx7+nnHJK/IuEkI5z9eyzzzY9/nYX05g3e7/TxfNV5b1R9b1mW/fdd1+l23S/sYnNPutksW9V24CqzqP7zjW+66674oCoGwxKOi+88EL4xCc+EV588cU497653vVRuvTSS8s1QjjttNNiS/MqIXxXdXjhH//4R/lfNai6BbtjlkOrEkb93Y5K6lH1MevL9dprr5WvqoEppG13JOH0008Pl1xySXzejj322EguN954Y7jnnnvi50inyusIfqvK53a4P1/AeFYJNqrqe63q4656ewjsD3/4Q/mqMwxKOkaMFgYx3fSNJ9pDXjXp2F7V26z6oa16e463F/tY5XnsxTFXfZ2vuOKKEUU6jl9H5kS+Xv/3v/+dxFg8+OCD4X//+1/5qhpUvb3h/nxB1cfci/t3uJ9HA1mRrW4w2fDa5CDUVvWJz8joFD/72c9GnKczOQiTVm0wMzI6QSadjIwGZNLJyOgdMulkZDQgk05GRu+QSScjowGZdDIyeodMOhkZDcikk5HRO2TSychoQCadjIzeIZPOMEIyCgqoMoYOmXRGKUh/2ZknnyzfyBgKZNIZRmAUFPg1NkjN6C8y6YxSsDE33RTCYYeVb2QMBTLpDENUXWGf0R4y6YxSJBuTn68hRSadjIwGZNLJyOgdMukMIVo1AtlY9BeZdEYRWjnm/Hz1FZl0hhAm2TrnnHMGDKfpp/XAAw+E6667rnwnox/IpDNKcPfdIey+ewh//Wv5RgMIC26/PYTrry/fyOgHMukMIXbYYYcw77zzxmkYmh2/rrtf/vKXwxFHHFG+k9EPZNIZJTjyyBDe/e4QzFL84ovlmw3Yc88QvvGN8kVGP5BJp0U4UVVDe+899tgjbLnllsXzcWR49dVX4/sXXHBB7AqsuytCMv/QSJvfZSQjk84QwJQcFXczjkTzve+F8MUvhmL0Zl6C2vvXXBPCzTeH8N//1kQFL79sXpDaZxk9RyadFuAEfe5zn4uTfPUCaR4R27+meCBMInbZZZfFi7PxxhvHqR8OOeSQ8MYbb8T1MnqLTDp9xlNPhbD99iHcf3/5RsVALk88UfsdobTi+QoXX1wjmwMPrEmovffSS+UXMnqJTDotwAyJXyxGS92eKHMKDQSzfpp06yMf+cjEHI/Jjrbddttw6KGHhvXXX/8tk9KNxZBkP5BJp8945JEQdt01hLvuKt8o0cn93ey62c4//xnCr38dwqKLvpnj8ff440P49rdD+OhHQ3jmmdr7CVV7XhkRmXRaxMtGRSU8vBcXIyXGCey7KV2Fy8wsWD/pkcm0TM1q1tTPf/7z4eSTT54kVIaIfv/734edd945bs926j0aM4Hanlkak9HwfRN0HXDAAZGIfG6mSH8R1tFHH135LIxjCZl0hgBlaDnC8/PAAyH86EdvvjYhnU4dxAH1oWafFc9POOqoELbbLoR99gnhlVfKDws4Zh0I5EVPP104YdLfYncM8oT3DAq9Tte+eL7id23D52nQ94MfGCXW/s9oG5l0OgCiuPnmm8NNqpsLIKSPf/zjYYsttohEUH8s5qrffvvtw4477hguvPDC+N3k8QineX/vvfeO03i3cg6QiumI5XzMr46UENLaa68dpyxGekJ0f/7zn8tvZLSLTDpDDETy29+awrX2mrEvBmVhyy1D8aDVvJYE97nQ3C67hGAKfN6KcBoIqZ19dgjbbFPbZivhac8m78fvm1LZYBPhFQPGSDbI5+qra0SX0REy6TTBb4sbjifD8PBS/D8YeB1yMAjGg40IEvRRu/7668MZZ5wRSQYppGOVp/nYxz4WhQN/+ctf4nu+n4zDXwv3/8wzz4xCggT7pFWO37Se0J8L+KNiVKh9zogxLMMYmXR6DKSAIBhzeZYf/7j8oAHJJiCde+5xEGLObyb/wXNz7bW10ByVms8TTjwxhPXXD8VDNGnoLHlKtlM8l5Pkcvxm8XxFTwZR+R25phtvrOV+cl61a2TSaQJG55RTToknR40MD6UVOAYkgUh4HUmNJuy16667hq997WthzTXXjKEw3o6/8JWvfCVeBGGzc889N9x2223xfe9tuOGGMd8DPudhyfWk87XnnnuG3XffPdx3330xlJfRPTLp9BhIBCEIXV15Zc0baRVq1v7f//PQhMLFr73nWfCMUqgVHn8kIM9Capz7rW+FcNVVNS+Gh5Ke5+L5Dp/6VC2UBwjFs/bsszVCRDrW/cxnQrj11tr3M7pGJp0mYLzrH9CUwG/FEN1xxx3FffypmPxPpAPICEHsv//+0Xv6VvEgCKu5AFcX7vqLL74Yczlf+MIXwnHHHRe/w8O5/fbbY0gNeElrrbVWlFkLoSEzf3faaaeYExJuy+gemXT6gJQfgRQuq8/VDAQEscMONSJADgm8EaRzyCFi2iEcfHAIO+5YIw9hcOEyx09C/fWvl18qUAzyJv6uiMKnPx3CN79ZC6UhHeE7BLfFFrVwm/cyukImnRYhnPWd73wnEkQySCmMxvP4f8Xoy3Hsu+++4W7JzgIecnkfBPSTn/wkKtAWW2yx8NnPfjZ84hOfCNtss81bvBPez4c+9KHwi1/8IlxxxRVhvfXWi6E5kKc56aSTYheDlE8CxHNrMRI76KCDwq9//eu4nm4GgLiQH0JqVL9lNEcmnSECojj11DcT+SmsTBQjp3PyyTVp889/XiMD8KwdfXRNdLDxxqF4wGp/N9usRkz14baEVVapbeuXv6z9f+yxtfcNEoX6iucrnHXWm+E93pXOBcQIF1xQ85CcS5+zAQaFQn/5+WoJQ0I6WrukkBGMBNIRDrv00kvDGmusMXHfeRda2TD0m2yySXGPfyYsscQSsdBTLoeHQigwwwwzREXZL4ubfOmllw6rrrpqzNcwbAQB8jlp+/JJiEuIjQKNZ2TxfYIBnpBwmv24R5y7wFe/+tXwjW98YyKBITQeF6LR0UB4cMUVV4zeVMbkMRpIx2DjSqGrEiOCdORklluu5pXAd79bW4pnJBZ4IhEkQTggFOYa6TpQPF+RZHzvfe8LYZllajkg8N1UFCovQwSw2261cJvnBbkUz0/M+1C27bdfzUNaffUQbrih9j2KuL33rhEM8KiQI+LjddkmsnvoodrnGYOi76SDXIzgL7/88vKdkUE6wNthwJNBuuiii8K1115b3MO7hRNPPLHwzD8dW9sgBZ6Kh553NOecc0bjT6F2zDHHRFJCMrbzwQ9+MBx//PFRHPD1wu2X0/EdnhPiURyKyGxXXuibhev/q1/9KuaMfAd5ITakJNwmB+W13+JxffSjH43bYUiT95MxOEYL6Sy//PLlqxFCOsJcPJB0n/JoEIn+acJiyGbrrUPYaacQvv/9Giko7lxyyRBWWKHmcfBUikFbJAikstdeNcIQRiMEIK3W9qYYmBUPUm2biywSwoc/XJNIf+lLtfyN9RATwlLHUwz84n4RLfC6EI76IvU9uhvIS5Vh8IzBMSSezlNPPVXcT8UNVYK3YFQvpzGcyKfxIVVP873i5k+JfOQizPXTn/40EoZOAnqpIQz5m+8XD4ZuAuTMSxYPBhEAQhA+Qx5yMxtttFEMoS1S3Pg8l1tuuSUWiHoP+VjvS8WDwPshyxZqO6x4eBAVKfa3iweCx2Xf7JOLaX+cTyT0m9/8Jv7NmDwINYQgkflIJx3gUSfwqIVZed/D5n5o3A8GnleRBADF/R8NvwEqj6IYnIall64Rxmc/W8vf8Oa8nmuumschBLbaarWeaj7/wAdqYoHZZ6+FyYTG1l03hJVXDkHu1HZ4LvI4xTMXw3TyOb5rG6TSSC8NkqngEBjFm/0XVmslF5UR7zv3HxXvkJBOvevP0xlukFtJCjThLySpFQ6vY7PClXcM6nJ4Pjwgng4ikL8RJkMo9957bzj44IOjEo43lAQKm266aZhlllnCsssuG0mFqk14DFFssMEGYbvttoveIBWcz68qHjykQuW2WvFALb744uFtb3tb/FyOyG9ZUnjthmIEKCQnvEYtZ18hybIzBodrPRpI5wMMbgmezrCKJsh/nHZarZZGzga58EAWXrhWi1MMlmICnwchlGZdJCEEx5tBQrwORIMgvCYaAOGz4vkqRnchbLhhzSvikbj/eTtk1AioeJ6j2o0tkvtBPDyepZYK4e1vD8XoL4T3vKfm6SC21MlAGE3NkO8gNLkhqCuVyBgYcs7dTsnfNukIAdXXvgzH8JrwFG8FIQhrLbroorEoE8nI3QitcRMZdOT0yU9+MhIGsvJd6jSMbuRMrcZL2XrrrWPHgfSe0Nhdd90VSWTh4mFzHrTb8TtCdcJymoHyaNTg8JR4hUgIASE0XhBhgQuZOh3YNm9H7ZBtJrI56qij4n43ihcyJsVoCK8ZLBncJAXlsAuvuVcRwFZb1ciGoRfeuuaaWghNLoc6TUiLkIZHghCEvrwn98LLAN4HUpDzoTBj/IW+eCLWLwZnMe9Dpo1YkIiwG2IiOvB7xxxTIzQERTRAZi2kpj2P3ye1TveE3E8xkCyMWCgetDdzRoUdiOSYw9iDYkyq17h5QnmMOAz0MCIF5ChvI6SWjDoiWmWVVYp7+28xvIUYiCOcTODtLLDAArFYFKwjuU/uzOMhFkjg3fy4GLmdVtysdxY3vVzQ6quvHmaaaaZIHEJzPCiktdJKK4XZZ589Es0666wTPRrElgwkcnEe/aWQI1pAavZNPid3KWgNWb1WAXgnPAAy/sYwWoJ1qMEYe404kw046KAQ5pijVodz/vmhYM9avUwy7t4TLuPpAA9ITodnIkRWqkdjTgd4NUJkeq9ZV4eCaacN4aSTah4L1Rzi4fW88521kNr7318LoyGYlKvx/DiHSEUHhPnnD+GWW2pybd6akFvGZDEmSQcoySTxJe5TW5qE1GdNtT+D37hvvsNrUTeDgHgqSCHV0/BK5p577vhdkIMhtdbQU7GnpL9iTgl+BIW0EJvXlHCkz8JnOhn4Hs9l5ZVXLp6TaWM4jed14IEHxjBcAnLR4QB8j5cmHCgEqB4oQWw/Y3Bk0qkAjLCc0rbbNp/LRqjK4ItnU19vA4U3HsNiwsJISR4HqSTSkV+Zb76atwNCcMVzFMmreB6jl8LbsR1EQ9nGCxEWQyS2WTxf0YPhJSENIb3ppw9h5plrSjmej5qdBKE0npjjKp7TcPjhNe/Lurw1BAqOJed4BsWY9XR4CGpn5E7qw028Gcl6eRg1Me8vRjz77LNPDKvJkQif8X5mLm5O4SrSZIl/pENMIHSouFNOBfFQqwmV8VqsJ0nNayImkNdR2CmkRs2HjOYvRk9IhRcjT6O2hzyaEMG+7FKMsBDK5ptvHhuMUqghNSE+BMX7kgcS9uNpCbFY3zbPLh5OTUcRbsbAyKRTARh96rLi2Y65lATPORIiGBCaorCjTKM44xUhGp7JAgvUcjoGgEJgSRwgfKVWh9Evnq/opcjRaF0jb8N7QWgIabrpar+jgwFPCeEQEFhfFEKIjVcj92X7yM1AjoRajshzwpMhq0ZqyE64UljQPtpf+24/kQ8yE+JLHlhGU4xq0vGQCWUNZECoxSTmJelBqIvnwdsARCHXwmjPNddckRx0G5BzUS+DTEDimRAA8SAaoTREJSfD2AuZkUm/5z3vCbPOOmskC8o3pGVBDEiM0o3XgxwAyempRuHG8/EdYUGE5DXxwjTTTBNmm222mDRGcEiPdwM8OOsLtzE66nn8zRgcmXTagAGbkf9A22b8EUoC70ZtDVJinMmVKc4QBIPN4BeDr5h3UZMD8jSIg5xZWEwtjm0Uz1fsFIBMSK3nmacWliNKQDKI47LLausIxwnbeR/ZAO9FXgZh8HyQG4GDfaSGk1eyfzPNVAu9yfEUg8xIVEKGyaPh3Qity/+QYQ8UTsyIGNWkI2FvZC/xDo2G5NniZuGRpFwHL0FdDFJBQDweajUeinyMaQmE3JAA70PIC7nwUhAA0pmvcPu9FsaSowG/S7pMXGB+HEWeCE8tBe8EeSEzXov3eFuk2CTTgAjnKR6os4y4CiAWxZ72Z6mllop5nuWWWy6Sl9CaMJ08Ee8seXLJA0vnwF+klvFWZNJpA4ysRD1vRg6m8TkuzmVs7pmgVEKORkcNqrFiEFY8UDWlmfAwAQDPgQdUPHsxd2IQKGSmPmfqqWueB/UTAkASjL91PC+2oTBUGMw6jz5aIxPhOqE84D153zZdZx0IqObK8HRxsmo5HdJpBMfrUgtkOwQEfgvRIazi+Yq/z6tDhAnOQ10BfMabGNWkw3gjAOEsoSsEwRtg2FP+Rf6GMfe5h1L+RMKeGk3eRQ4GIQhrCasx5lRq1GNCX1NMMUX0QMiokRApoI4F9bUQhx9+eNhqq63ibyJC4S0eTsoleT+pjIDB+0Fxw6d80naFy09ezRiCbVvfZwpFhdMUnyInogFEi6QQo9Cb84AESbnTccsv8dyQYaOarRfXYiQhk04bMGA777yaEeeNCEPJkaR7ikEWSTjwwFqiHUlQq6ng15hTcSbSQigMtxCa5D5iSh6IkJeCTAo34brGvImQG+LiuXi/eG6jd5Uk1PItZZ42wv2towAPy3OKrIrnK3pLCQjU8ykU6HNdChwDwuFBzTtvrd6H7JrX5rcREbID4bs99nizm3Y9xrgnNGZyOkb5QmC8A94Fr4O0mQcgHMYrOLW4EeVoSKKRE6MvfMUIKbTzXQadN8M7sj1hLgSCrCjKbE9LHJBXIWe2vfo8inURAAJCCLyqelDNIbfkKSn+JFxInk6Ccyb3hNB4ZUiEcRFec7y8NqIE5IakfEZJlwiOh0XhZh/qQSghhDdWkUmnAyCCtdaqJeB5GvIuam0IV4oBXAxtMdqMMJIQSpPTmXLKmqdB8izZ7y95M6MkX0JNhpjs+5pr1oiK14LseDIMPTWabSUgOWq4MoLxFiGDa0tEICwIPBxeTPEcTyJ3Rg6eW2F0+4YM5XgIB4TA1QMREyAVv+EcICcEBMgVaQq91YOHxMvr5fUYxhgTpPNI4bIjGYYcEANDTSggkc+4kxTrFgBCX7o7IxEejHoY++ihtQ6vhweFXIgBGPb99tsvyqF5FIiLJ4G0tCIRroN0jPUPv/1Cdgm8JNsWEkxta5555pmYd/K7jeCF2U/7IncEWuZoAiqUR4AgxEZoIKfDa0Jq4LjlvDQLRcAJPDnbQ4pjEZl02oT7tLhno5ci/wLyJu5HHozkvoGV5L9n0P+MN0MvbCV3gox4JJ4Vxt3rzTevyZJ5Fow88iGHNhizbd0DhOGIBeqRlGRgO8QGCYiE6EBY7JWyoajQIBUbpV0j7DMvyD7JBwEy8b981eKL18J99gFJKhZNYWveEoJRmoEAk4fjnAjfJTXeGMOYIB3kogNCGtHzUozmFVqSKjMy5M+Mv3oZHow6HDkaROL/7xYPBtJioHk8yERLHAWYCIenIVfDWDmpvBP5FeGueoPuc3kkIT9ATqkrtYacZh71XeSQBA7CaUKCCE2XA78JyINXY58RkrwSVR5iFEq038Jsjj8VkjpWx+9YEBMgR2G2ZJSE7NQw9XRkPIyRSadNMNgMrvucYfUs8yKEuXg1SEKzzeLejaTCSPMQisFSlDNTjvGEDL7kXxGFpp1IjMEmg6YM073AM8xTl9QXaiuOK/5ugpAYouBhgTqbYpAZ9wnZ+R01OwZwckJgnw2wfEcexm/5HQthg5AhxZqF1yLnxKPj2ZFuIzVenP1UXGp/eF7IDRyX85FCjsKPnr0xOqgbE6RDLSZcJqRFySVXw4MhDpCzUfNCXrzYYouFBRdcMOZPqNMIBhR58ib2KkZu2s5Qk1lXrgRx+auLNCJh6J1QSN5EI4S67I/WOY1AOvI/CBAxIBuEpYtBAq9FHRCkdjc8LR4XTwYxUb8hThJuHgvCASo7eSjvO8a0HefEbwn7JVEFpPzPSIb7qr6AthVk0ukAPA8eTQpZScIz8LwEXorQlfttmmlqOZwPfrDmPZA9M94IRMcBiXpiAkl+noztUrbJ6zD6KeyLEJBFI3hdvl+XI50Iz5ztGvDxhtgc97uwWLrXEY99RQjyMkLlCIYyTv7G+ldfXZuTx4Jo5J4AySJQOSCkSYGXgGgYWgSdkDytEQ6XwXiiVRM+6kmH8ZDDkBNhnJO3I48ihMVIq71BIEJRjDcJ8oeLB0BiXt0MhZhQV2PuxUMsb8NbEhbzF1Ex3p2isVBV/omooB7JIMrnkGTL00w55ZQxp5NUdYQQCEnzUf9rGEr8IPSGPEmsKfEYZFLtZYqHhBjB60Q2qZ+cfFcqmB1pIBnnrSKSVpFJp00YwZM/C6nxUoBRZ4TlVoSveDokxdRqU01VK/YUkiIO0I7Gc2m9hGQPeA1CYQjDtuRX5Iw6Rfn8TwSS4cnUi2nKsHY8FiE95Ck3I3Qm5ySkJuSHcMixeWxChEgISVlHdwR5GyE2bXVIr5GWqEYiOKFGRP2Tn9Tqk0YopNmo2R1qKxjVpKPeRhuZxgNEPMJlPByjfIZVUl2oCmnYH5JlxZkMOunyBYXLzcsZDLblN3kq/UAyIsJhxBBIAnnokMCbkZtBmjovICdekrwPMYQuBUiGFyfUJ2zoLy/QcQOyRrZHHHFEzIuNVLje7dxfmXRahO3xTJBHw4AsEg5iYWT1P2OkhcQUcBpE8Yh4HbwgfxloLWoGAyJjoPs9ADKIpI7jAa20Ui3PRERAvbbQQrX3kI+BjZAdYkSUSMZn7AFSFurjKQnviYSk4yie24mhvhGKdiKFo5p0qL2mKkZV9R2tgZBAPoNnYgRv9C9PwpORy2DEJe+p0ngEFGjyIjwF4afGfRUW4yFAo6dSj0aVWLcgWJDrcRGRDa9LGFExq7yTsJpQG+JFmHJQjk1uR+NPhajIhmDA+0BlRz5ej7EmKMik0wYYXqqy+nCyUbu8I3IRyuLh+F9OhrGhCKNsM8qXt5GQZ5R5DvIvjWCc5Tc9dw3y/kng+arSjhBFkEiLH2npgyjVF8lHeV4ICqjgeDpyVV7LMTle6j1EZH1hNMRlO86Nep66MHbTUOAoxqgmHQaZCi0ZEMaTWkzojHILqQiteSD1KTP/DY+HxFnYTT5FyIphVkgpzGTUn0JNSET4hgH33UbjjIB4Dqmx6JlnnhmT/t10ebZPCNJv2RYDScTgOJEpr4x4gacmjMbj4c3w1BASkQLPTkNQ50BOimcjh8VDUyArf9UYShxLyKTTIhh5xpNxTve0UJJCSwl1kQGLsFnxjEdvRwJfyIp3JHQmaS/RTvHFkEvSy3vYVzbBOkJziKmZh1Pc65GwQDjM73aTi/QM69nmtwxWkaVZRZGkwlb7YT8RKLLRj03YzfHxWChgHTMy5uHx3hyzvA9CAsfu+2MUoz6nUw/hItJhv7fNNtvE0BmFmVCbEJTPTMRmpC8cJbeBVBhlBaPJG1AkyvtBJvI+1mn2QBMuaAiaJNGMum0O5g1NDkJgcjzIAXheyMTvk3qnIldeUAoZ8nZ0riYk0BTUPgnFIS/5Hio+2yR+QNS22UzoMFaQSacL8Ax4Lwy03AdjLBGPaEwrYJSPVMihUxKAISchRh7uOx6F9YTodH9GWinPUg8JfUa/FMrE7fEquhjUxe8jrlTbI6THaxEic2w8OM8ecY/wGbEAslF3REZtXftkv4XYhOWQEEL0HXZOVGSMRQ/qMaZIJ4FBYXwVUDK4eqJJvku6ky/Lj/CCeA9EAcJRPIWkImOw9VJjnHhODHUzUKJJ9ieCqArIs77jwUAqM3Lsd77znbGNj+amCIvUW9sccnBTWQuxOVbv8/oyMulUAoWbKc+hlcxss9VG/4WXHQlIiEoeg6fCE5CsT3lDUmM1M7wm5DRQOxmJePmRZh5Qp/BcNSpPmxEEe0WRhlhXXLFWj8OQKlQ18dtyy9UaiyLgAw+s1RPVFYiPZYxa0mk2UudhCImRCvM+jP5Tk065G7kfijY5EYZaqArpeFjrjRCjb/vCZKmAsxl4DvU1Ogm2J7TFQ+oG9cQDjfuCDHkwpsAW/uOd8b4cv7AbibhOC7oSCCOmsKFrUXX+aSQhk04L4E003H/REDPQwkg8FaN8+Z5FF62p1ISYGF6GmFya54Ng7Fe9928byWOpV7Q1AjkY0DV6NrYnT9KtIqzx+Gy3/j0haN6WECFyFYrTLFR7HcevhkcBLPk0mTgJNthGF9GOkY5RSToOSD+ylEtJnoCRv5Aa44tMtIlRh0MqrZ2NAkmQI9FQU/6mF0AG7ytGf6k4sxMgBcWjBA/g/AmzMZjNYH15IOIC6jbKNnkcbX50w1a342bglclhCb3Ja41FZNJpAVRkijAN7uo9ffJjhZGMsdwIibQ6nHHjagl2RMGD4e3wUnoBBp0ooUEQ0xacK54MUktE43gUwTaSUYJBmxAbxZpwIW+O10Pt5jwQQyBIGmNFs2VR+FjDiCcdtSaWegPJqGs9o05F/iK1oVHUqcUMwpFM5+EgG6N+hlYdjxyPHIjQ2kAFns2gnUyr/coQAIEBz4TqjYFv9FpagVwUxRo4fzy1xospj5S8FvunZY66FZ6c2h0hNZ6PQlkkRGjA+yO19pp4YiSBFyoUqm6qU2TSaQCxgNqYes+c4ZSrUbEvf5GeP7kcYVp5GYWhyMZ0BFRplFwKJxVjklpTtrX63BMaKBRt5Tlxv1uKe+AvxSPMEWnbvPgCb8VANH1ZTtdAMb22L6ILvCpwDkyBUDxDsd8cNZu8lDCi8KImpmqZ1PGYlkFOiEih0VMb5uDI0liUZqVtjHjSIQO2UIY1IoXYtI4xwuf5mCNHAaUJ0YzwiQcUR2oXkzwjNSwMegp/tbJvvBZE1i6QWxICVAmEKWdFqUf4AKY8EErbbrvtoqRanY5jM8WD+iL1OwphhR0VpZpoTjiuG7VdP4G4XXPHl7zWTpBJpwHCSHIszZ4DXoW8jAS7nKcGnJ4D9SvmoeHlIBkGlqdTGJyYSPeah9TqPvkNkYc27QTbxjmp/BZmcTUqRS7CaiAnJZTo2IgRhBOFCnlAvL9iEBcnkTNpHHJWs0REMUiIfjghnXrcjzvHLOnwXiyDFWRSncnZ6DqgwSejusgii0TZsBExA6z9TUqkW59QQChOAn5yHQbsO6+lWf5mIPhOOvG9kCcb8RMJqM9J8+bYRzme1VZbLeZyKPJ4g/I5iIWHJ+yHeFwT4UciCkQ93OHcy10JN5peopt8WSadBrg/DW8Hs9wKink/qvIJA1Tg6zQgjISYyIp9BiIIyIl4gLdU700MBBaOx9XiMdhVWgbo2aVUhs+NctzgPAnBmRuosDFRTCBvJa8DpoAgs0ZMapSIDtZbr3aOhjmM36Wr/BXRN3bolMhHZU4ngSFNsmfeTpIrq2FhfEmM5UWozISS5HL0KhP6Em4jlaZUI6NuFa082I7VPgjr2UdGjqdWhUeRft8xM8TyOMJrwozCaIo/kRFy4Qk5TqE2nQqcD2E2eS7ngNjC9NpCh8MFzpHwabpfDBTk6jQ8Na+RnnPIs5NwZUImnTZgJO9cC2cadLFKXvN2RB/ImI3m9U3zV87HwmqpV0E8ckOt7luL6+kFJvJn96SQ/IT/u0b6fSTIg0nemloiLhVFnQ4Lumc7NgM+LXGEqQ1eeTvqmMioEa9yCg1RhxFwZzJFLqfxxt5715xdplBjiTbG12/BqCYdISOhsuRJpM7OQk8MKkKR42GwdCVQu6Oyn8Gtx2AKNUgGSm6JYR+sT5nj1MEAFG/yQvyefNJdacTUIVxMZOZvPRAQQiXf9jkC1q1h++23jzJwkmmkZB2NUJ0Hxlzosdubo2rwQg0GUuhUnRTRiGM0oEh5uG7up0w6bUDeQ8I9kTxvhHCHgWWlxGLUsmAARlmjTwxQ791PbrDFUwKRCMWWZURiIKTyH1EuTatFvXCeWs2ugGB4K425XvcK28J7QThyO36YJyMsSDItryyPJf+lhU7xbEXSKUP6wwkuk0sKLiWeVP+bHolBzFtL6AvpTG4E3wvSMbqXUNbmX080B8mYIiBhNvkcOQv91yTzeQS8H1X+7YyShXO002HweArrrrvuRIPouIX96j0FRChkxetCNgox9TUjaugkJ1QPBEYGnVryNBoZv2lRm4TwCBicIw1OhR1Nd62uB/EKvckBDTfoukAI4by5rsKgVavsRiLpDHTPpueqJ6TD0DKyiMXIX1Fkym+QSxvRm/BM0SfrxdBIBqTEeytg4GWtEQ+vQT83OaICDg3/1DvidklDaoaROMxPeU/zZ3n9rkDJtsoqb6rO7EDjOUW2lHsk0kJvBBhEA6TjX/5yTc229NI1YYHzNgxh0lWHYKzNBJQ6rMrQc9JJLWTqR/E8C3UqCVWTjnlttH5Rm8J4MP5GyNRdjC6PhAfE0Gt/kzyh+jwA7wYZJOXXQEAcPAgPtG0jofQd22PgGXZgJHlXvA375Jj9NgEDr0P7HesgLXmkyZF1I2wLqaXj8btCgwiRyk1HAr9hHceGYNUiKYbVW06hq4JRc+0stNBCMZ9VD9sBUzMw9N2EsNoFkkk5s3Sd3EO8nHS8A8G5NCBoFSONdJwb9xAvO+23/JbBVfJ6KyUdz6okOkMqjgUC/Z7p4jmL1fuIhnRYjUp9M8v0PLl31K1M5vmK2+XdWE98zOvy+tsE/YJIFXBEOBB+2mnwOcNZ3O4x5UQ0hqTSe8mBahk2avK5dL/xUsSaDDKRI4Xe5z9fW8cP6ULAqzFlg/MlRiUPxONRMMulqEe6PqTVvt/He9Dp5SE6J+mS4Fiq9skJWB2+Q7V+K+g56aQplhm4BCERyf8EpFMlqLHE95OcWN5m5plnjnkTKra0L8iJl8IYe1hT2AuQhw4F9UQ0ECZnfJOxFtZSH4PwkDFI9Evcy53ILbkgjJ48y+SM6eQgREYowduS6yCMSMo0HgMSFlZzPrTMIa5Qt8N70NyUgo+yz/E5T4wYOIeUb/2EfXGOEhC8cycvBa7lQCCWMNFeq0j3w0gBmb/7ScjYPQYGed4jKAGkU2k0wbWo98wNj3kBfl8SPRVm8kLPOKPmATA0ybCybKYBKL2WQTGZ/U5GknhOEwA8kIiIRkEzAHoFTpixr12Uy2/lpwcFAnRMNsTOIRRuluPlxRjomKROnoeHt8ACNXGFUKNQnBlEDex4gRJPQncGmsXgIdYxteMRdgmErW1cMmU4FO/ZfZcOBqpCkPNx3lvNDhgkEft0g0FJhxcAqf8YiLur/0gjecaMwTfK7+bBYIj0HGO0jYB5IQiIkRdCkrg3ojdVtZEgkBNTcgm1md45QV4GMdqnKsHLWW+99WK7HTBaF+oSBtTvDRCe0FYyGN0AYQgrCvHxTkxvIIyH6JDOu9/97tgCh8eHqGeaaaYYItyueHhMSkcyDYyZmUjdLApIG5ub9hr2O5GeQQTvzPVMikPkmQgIHHf9vVQ/oBgI7h/XnVpvJJGO+52nY/CWIgjJ207nzLU3+PDAd+XxsDzyFJIkjKlh7tln10bz+o/J3wizsfzgvAuJqV/RqZlrAs4va8XaVQjhIM4GjwfYNq/TnHHA+cMJ3STDJwG1XvFcR6ItBkfFSa8ds7zOXHOFsMQStfyW53vGGWuSae19KNv0bXM9iusSSZgsfJABVK8g7yUgIxTp0hhTOl+0EKA8Sb/WevNcP9YuxzqDwn1nUC1S0lNPR4jGSJ9xF+JiMCSvhZ3SSL6q8JqDMVkb9RKiodRykJL0vBb91oyO5XEYYvuBAIWbGGCFkQxPQtXhI8eLWHhdZvk0EkU2anyMTO1POg/d/rbvU6Qx1tRdiTy9z6ASD/BCHbewGjLRAoigQhsgZMRDcE4YbOFGnpKQXfLc+gk3rEGKUC0Plucm92R/kKB83HzzzTcxD+W4hJs6wVCE1+y3wUYn8Ewp/DXVuXwegvGsGbTovgE8nUruZ4NII3KhISICpGPUbpSPiFiplERXH4b8xLKQoQ7SvptQwTNfD2EzDtiss9bKYXTcYddF9/AAO5e8okpuYd7J+efXJpdLRIFADKZPPrnm8TgXaSckn7gECmRnn712PnhALD67Y2COwOpsUD9ht40BjOMQkLSccYJDs4tEeHjT7nk8eI+diAoMfHpKOm583ocwlTwCw6H1fqodgSpzOgOFpHgYHkxzy8hryOt4WBl7BooMV5giqZ96AaNyRp1XgRQRgZAaNZaLgCBbGZG3Akaa57JEMcpykevBA6RUSzVIOhMIwyXP0znSqUE+iPeQzqkEfvIQ+w15LuSiazYiFBLkPTt3Oii4vnJRyTt0fZEoQ9vuBHRDQTqmx1h4/iU6Jh7HiHDsN1J2H6fnDirL6ZT3yFsgxGRgw8CqvOftuO/EtxCR54pxbla0W9Gzz3PxU0qCOByCCRo9y0sI/Xi06p2Irn9WeJEn0zjMl9xw/GVqIYYey8FQtNII2kyklA3igOn5PPjgN78zBHD5ZDqK8XnUh8iN4UDnj4LNOSxMZvFM1YhHCss59b12zmXPczqtoCrSSeE5oZ9UKMjgMr5zzDHHxNGxfIUuBvqrqUtZvxh9JMVZM1g3KcI6hf1iAJCb3xLKI9c2IkU8Ruq8L4bdOjwunQq6IUG/Iz+RpjRwoZ0bng21GgOt75xebPZFXsRgwP+bF+4/g05mno7dCJqXyEvqt1Em33YMwpI8V+fK4noqYvW+PJMwIqGKsCrwIJzrdkKVQ0U6S8/84a6IZzBUQjq+n+5HoSS1KUhNpll4TQJAZ2l9x1Tky2EUA4Iw77xvJlmaPedCTK0UiE4GIr440V8RP7sgdcwB43hwvqRK3BoOxc92ZfsMxnhwxaA1JoySqs3/VAsEFWJSiImrhVysQ4/MbbAz3IoyRBzzX7xzOywG2EcgbBxo9yjXNFMQXivMY0zVcVo5zS4j501aHPk43wi+1XwOjCrSkSwWTpD0Vm8iWS7GreJeQ0tSZYo1k5QhKMlz68pdDNZ1wIhR6K4dGGHX9/+SS2LoGW7wu1rx6ISgINVrpJRqieyfhL8L1A14APIdSM2FRkS6MzDWDLKwJ6Mtj+O8ICAk/a53vSuup43OhhtuGPfLviNqHka3N027QMKOQ1gW7PMss8wSPR/gRWrxY4BgTqHkMfLehBfbEWUMFelssMAuYbNF9u4J8VRCOgYfgv3CRAwjOTTXQd2NWIzGlhLppNI8Yj3IrMcjGKz5JsNt222G/4wThdSYDjl7u6P9odfCaARixHOaADCabH75eMXP5XW6zGfXWEunhWIgFncCEC31QnEfRWvMTbAzzpNzY33SaTsn3IawEREbw81wrpJn1Ec4d84VR42HqKmEbkbFGDQCH6p5leZFPslke9R4QAM5wY0YVaQjR0GggFzkRwgBSKcRESOFlNSmUIZJjMuryGUgJQa+avAUqL8AsekCkAQEvAejd/tHLZZCW1VDQtnon1Fzjhlv4gCEy4gLrcn98G5M6DbDDDPEfd6oMCJ6scmBOZ8IVLJa6E1Hg3ZDVt2C9ycHJiwo0U/8QYnHi0EQDKrwqRBcPZxX9UfusVYxOdI57dTTw5e/tHOly3rrrh9JZ7flz+wJ8VRCOsJI8g7UV/4iCi6EWIz2L0bv3udSCLOx9FSD7nlJ8orBk/EzYPSt/CWp/DlkGiLY1eI2b9kgdgTHh8HSPcNKI1zqNC1w5HOEzfRpQzQEGFwIFl7yRLhNAoq3h4C4GaWAp5+gD+G0MlkignaVk/rzn9c+50E6tMbbiBDXVEmJ0CeHUUU6RrTUOkbDHjIk5LW8hJCMmL9kuNfCLQyquhkJWHkmnkYV+wEecKGz1BPOvvA2vK/ehJfB6FunsRZISJAsmadmJF8vL+8EvD31OElxxpgxxM6Xi+/4EYnwFaGD84NwiBB8B2E5Xwy/7yAx/w8F5KPUXwnzmYxO/zxCDHJqIVX75hqm82xwUX8dWsHkSAdJfHqhr4etlji00uXLy/wwkk4viKcS0mHJEQkrThxAQIDMWSkeTXH/xOS5kT1DK6SpNkVoCUMAj7OiZ0xwgqG0ueISR0MJflaOX5cdBrPxJ31upG5kr0EA4VlXcC4kk1JuxnmyM3oWIhKqShI6AgK5Hmwo8SS+hw0Rj+96png4xT1eXPjatvoM5wk/ctCUYfFsOHEuq3Mpz5MirDxNDq3ooHQdr7MVjCrSkQ8x7TQiIRDg2TCe/vJujO69n9RXqV1NUvVYr1v9+GBIyjhGTZhKTkLlv07T9RDKkiyX6JfQr69x6hT1xGZ7CDDBDUDxh1DkkJCUeh3GXEhNGDARH+PdSJJDAaFAogzhQoIBnRR0CkeewMAaaMjjtYtWSAdJJILo1VIl8VRCOgphyH2V9/N6JL6N6Fkjcml5DIo2z1WyQMkQ+23D5KrL2+uQIqiideaMw31EYgxlPewSQ4ovKZipvLtG/TOBmJFses9gj9RLzMpzZAfU63gGWXA5sMR8BFbdXqcKINLHMZMNEDxwHmeeuUZCSfUuyirf024kcFSRjrzMmgU9C/0IBxmpG6VTpxkRq/onBWaseDYJPBxJewKDVPdRNZIgwH6lwr0Zizt+6qmnjvsHyI9HQX0kqS9UJA/UrafTCPklnbWRGuL1l9cnhyNfIzSJmJwjRKnmCZAhSXr95HOMs5soqaR6BeejvtuCzgm8Hb/vXAoNalRKRCCnk4QD9Xm1VjFcSMdSFfFUQjqANBhQhpTV4TIY7qYwmryOMFvK4aTn2nMlX4GUeoA0+uYscBSKSxhnki7GIhOdLGDvcafdd8uSWNfVHFcDHo7zJIxGtSDXI9fFdZDfkgRRSMRDIv0q7uPiIaqxpvqdxhYArv0g92MVcJl4iyk6LVwpDSWKbhddcroQRG7iV4+VsbtcTrume1SRjoQ/A200LhlupGtEjITUc+hIsPLKK8fW/uTSRvaMLeOuSwIjW1V4LQGRCPEwhk52msdG3YsiTTkVRo5xF8qSXxL6ShjM+HUKBEGlhnyEoBhz58m5sW9CgUiSJyb0hmjkgRh850w+ynExYvbPMXSr7pschM3so4EBUqHAc32FKZ1b5wzxyE/JmxEU8CB9r10MJ9LZedlTwqKzrRxOOqFWZN0pKiEdFkkchcduoCQhbrQur4NwWC3GlXXymWfJZwiHdVLbw4JV/IwZlSt5QSYcBikRu0rBpqE1G27EzvEQ2eKs1WsWKncs3DsGiohF5ESyg1LND4vnIWrsJ/6nR5twJeKxg7xG3o5zlBJRQnLOb49BKGBRx8p7wX9+VmkWvQ7Ng0gqqTTvUR2rS15qdlrGqCIdRskIXZhM+EgtDDUWA0SBZTFiVJApwayWQ7zf30pGgQ0Q+mGs1f946IX1hHt0JADiAiQjlyL0h/zkXszuKXfRK1DiScQnL8B+UblpNaOIlrzcOuTkDDj5dP1NgpCEtNKkd5Prwt0u3AupjsvgwLVByPbzve99b7x+SGbhhReO3RwOO+yw6OUSg1gHIfKC9I/j3baL4UI6CGf5edYK3zvo8PKXO0clpGNkzqLzbBRv8HhNRMY6yd2IvRASCGnK4/A2i0FKHBYzvvWWvgK4RDhQSsTtiQvJekWrQMqEsZRSEW5zSzGYQkJ0Dz0D/bGdqB/wEApgQKQ8wwy1pAnPDyl7T4IpwYFhyhQXLMPyVcJlYXItzp2/vD/kTVjn57UKsouFaYqXGo9yyMAtwIyJtPIq28GIJR2SWBXnpMUWRsq01LpHa5FilK64kTKMR5GajEqAM/IMP7WT1wyUE1ElGEHHxZtAhAw1j4cBT7Na+l25G8Wi48aNi0afwTOSd0wMH+POu6gS9gUR1osB1LUQXVCDmVnV5zxDwoIUinTOrYdk5IBSy5WqwUMxUACeFq+VB+Z8yds5VwQWBhdqnMjNU4gShNvI0F3fTopthwPpVEk40DHpGFgY9rpXGE61OKyR4bBkOcvuPiierxjs59W4v+XWJM+N6OU4jO4rhM1SzxONuVWE15AKI8kgunwiWVJOSmXkI/AlT4jt97g7HUirLlpcDZCE/I2dSvA/phObQkjYMb32fPNqWH2hOHEr3++BohaMBcjL8Z50sp5rdoNz6lwstlhtHOGSihTyaPxN6W7fJ1B0bnmZ7Y45RyzpyHsw1oyKheEhUaZikstheIzS5R+EWOQr5FIcMKmtMA3DCinBXyUQC6PNwBtt82qoruRPGDTSbiNx9UTIUghL7oRwgIcGRveOpd6g9gqMOQIEN0TyJiToSaYJChAoYUY7NS+dIintXFteK0LkFSI7jUl1WtAzTh7HAGJe2s4C7iP7hzwRD2+zXbRCOmvNvUWUOFe5JCKrmnCgY9IhW2LdkbdaHK+RDEmv0TmC8fywTBYiAtWC3Ak5DXEtVqli8Yk0h7CPy8RoystQbgsPsdmcDXUmSX1VmIa4aAQgLwFOB21DuyP1jsBqF/Yq7pidp+VmuXk95OQ+l0hBSBi1x6gfiyEajikxovMnOEC5nWp755svhAUXrEX5Elx+/ew6GXeOWNKxvvyNv+m7KVxE8svbEfPXyFPeQj+xVLPDuDIq8jkk1IMZmG6QJNjECdsVLrRcEvLhIQgNTTvttLEbguS9EBGCIRyoV5ZBL0J/jRB2RCjIW8EostGsVTEt4QWCdqMwXkKTjosIAan3qsYogWflN4T8/G/wIAypnZEcjn1GQMib+tB5F9ZEHsQPSa3YKiZHOvJIBCpVLu5PxNMLwoGOSQdp+57QmKGuwYC8zGc/W3ttSmbuhuJGRlXOQjzLFJOeSzUoki09QDkuic0RChMS6y79NC40kn/722u7R0ggfcJxMJ4juqsfi1Qc9WsOpMt1OPDAmmczzTS1HcOKYoDcMgeEAd17dgpBKYJJB9ojpPEAYYXxAT4gTiRG5OQ6t2qCjSPsVqqjZ6bkdNo9fyOWdBJ4Dha5GfBgCc0YlRsRTz/99NGDYKCE2RwwoyTuT2DA2LZrlNpFIh7GXNKdl2XUzhtCiPaL0RFe87ncE8OajHo/PAv7mPZHaI/HyFNEisJr9ofAAKjbnGM5FOe2E29iICQya4T3EY7O0hqRyj3xZJxHHuURxShbsa+/9tO5FnqjYnNO7X+rmBzp9AKI56PzfqknhANd5XTUOMnAsy6eU/lG8Rhxq3e8o2bFkY2QGoPqeWIoWTN5jQrvj4HAWBZmIIrm1GTaNVzIbkszCR2x60bxRu9CcJopyFOUHZN6Dz8mHoW0RS94gURDQpjOE1cDeDp03A7AeW6jxqwVuDzNTJ5bXhrJOEFJEdIR/Nhtt9quIGycyeOx6zjToSBzVR2tBoxGNOn4DlWaRQiNpyMHwlPgUTBOjKP/jdx5GJYUuukn7IcwkN/m1dhXuRphQKRnFC8Up8CRh6Ftj8r75YqhmtxEP4BonMv67sw8B8YKaTLucjqUakKFQl9Ve2Fyc/JxjR0P5HkIRZCwolpeLpm73nHuH8SMcFJnCTe1sKT3fTfNrdQKhop0hFZ7QTjQFenI0xT7F/M6ij6dS66EgZ7RO0uvJF18izUS9G93+NslpJOKRyYaQeRipC7yJ3RkdxhZn8nbi/qtsUYtUqhhgL99gefYDogLFoY3QqgNeIPcNPcdpuSa9UgRKloqAloP5pcsWs6Lk1rcLtGjIa5zjnzuskvlpdAcLwg/Otd4sVWzOuI9HYWKqViRd6PuxYjXKFjNjvyNXI+ml1qomBOmV7U4g0FOJOVMktqLkm3WWWeNhatyO4ypkTvVGNJh4CnEeGW9BjLU+oYXtsIKK0SvJ+1nguQ9j4H3ICzJg2jHmLcCcnf70XiNXDtGGTHKNSEfCj9EyPMSWuMpMt7NINyWFHGTw1CRTq8IB7oiHXAPCqOS/ao3UbtljhzDYXkIQ12hIW4GcUGfwU6L+EHSx7DhajAprHg6pvgpxn2x6FEKUEQQEdXn+3sG95Pn3w7I1COUMh0wEZJOGNFzx41IHTgrhvwNMUUjjBso1eyCNnHGFHI3CJ2uQcrOZa/PByV4XOXVWjHjI5Z0PEQMkwcpPUxGthRrQmmMueQ4AQHlmnUYcT3YGMte5yHqQQotDKU7c/1xUoZprGkeGMWrck7CRqrqdVXohcBhIPBa5MKQM6WYmh3ejP2lcuMhqoMSSlOoyeuwvpY9nQ4YmsG2bB/hCfW5bnJeCE/HAQMIHo3clxxZmibCAIOcujEfBq41cnLPtIKhIJ0qug4Mho5Ih3vA8gj2A2vDCy6ufZywhrvAmrPgSWEpxoWYOskwdwjEYXQuJFQ/PlOHOv30Icw5Z83WE97hR04ao+t7fYMQOS+HcoHlxoS8RARjEf7lZghFYk0WXmuhlECpEG5tRMsDdGmNG5UKydlYnEtdfSgB9V+jeeDhEBN86EM1gmkEAheBbeUWG5Gkw4gw4jyFetKhWDJi1GNN4ltsn7rJCNj2SZaNlklw+wmjcl2c/X49VNXLUWhCKixo0jlEiiQb1+0lkLH9EO7jDTC4wpUUdZBCPymnk4AA2smVtALXluciH0NBZ1+cH6E0XaWp/hAQ5Z+EfiIHAhHneKAea+14t0NBOr1GR6RDvkuxlpIeDKZkibgKtZXYipyEGEwKAXu2SMRaJPgqQPZrhuzGW1HNCbJRc+IzkUFFo5wxh9I3IBIdG0jH5XQMeJ0frhnCERKeaaZa0iQBG2DGiqXmgGx4L3I3xhFqVxHNBhvU0nLSTS4hibmoH9Mszeq17zWaaq+VcLVqwkck6QinbVCcIYWD9WAwGSw5AbkSjT8VOuodJhlO5aQ3G7LiffQLQldyNemh5x3IlRjBIxjdEHgN8jqkwabT1iVAwWajt8MLqBq2qYhWWJL3xevxHnkyqIdBOik86HiIN5zne1I79wqhNofXx9NKoVO1VUiFB+j8UNVR+wnvEQ1QIqrjaQYhOfm9VpFJp4QCGJY7wbVgLIR9nGvqNYRjOmaWnKFkOHlAfbTqPBYpwOSQGXd4vI28zXRp1C6PQQjGZDCu/seTjRqdFJqrFM47z0bdkoVrwfJjQy4Hi8/K2zHgrql4ZeXFtSoGvjPzAg/GJQSkIlpamOLYt5WoTuQUVJb4nKahicansBW1GuFWTcGIJB2hF+EISWKSWYvkvG1QpimulBcQZkMywm5GwkJX5pER/69ScdUuGElybuEj5CmPIp/Dk+BdCAvad52mjfwRKOMquS70VnXLGQIGdS/OleJVBkoIUtcCOSX7ydsgMgAG2T5ZKM3aNmaDwDW0TTdm/T3Bg7F84QtfiKFT54cYw3VdaqmlYg5KGJBgw73gPkhwg/MiW73HMumUYL3lHRhBsSohQOeQy2CYrFMy0mGlhNdU1gu7CRtxP/qI+kvLcTDGQEa4UDgN8UiUS5VQKBOH2U08irB0n3F4ooWVp1GEKXmMYlcbblgTW1AveE31gHi4Fyw+OBiWnkfJy6w4p2t3hMPqb3Hv4UJRUdJzLfQ4WXaFEt4ldj45asYhiCsBfzp/zQipGUYM6aRkOgOYYDQuT2KRgGcsGCwxf16EmL+ROw+IZ4OMEI9w21BBbsR+IA7td1T/IxzejpwFI596xSViZEQZV+fIvDdVIUmxhZ54LcKAPAL5EZ4Nj0KYixeBYHhh9Z4Wb4wIgkHrNdL1t4+KVQlF7AuSJsJA4kjI1NXm/BkozNYKxjTpCP2wvsnQsUbyNPI4ijUKgxHVVyw4wiEq4DbYtgy0ZDhNsu4FQwBRVLsmOi1sZPRut9l4xY6MozSV3XMoIFJISu3QjdZFvLoGe5aiKWJYvEaNy5xLGXuejSQT9ktqUX/rzxsWUIFJhtcH2GWPN8eLs1qYnHip9VyThhId5JzRQXQT9RsxpCPMwujVt/kX39d7yyKfIxyDlBhoI12dACwkx2pO5HksjVMJ9BrIwz5QsCEUdThIkpH0v9AW74Z3pn0OA8vDYSSM4JMMuNWReqsQxko93oT8nBciAgsvi6Fy/hAj6TaCIadOIS/1PPJAqaNzN3Bszg0vVDisPqzoXGiUSjFn8ICY9acjKUc46pyEAJ1f4VX7lQxsJ8q/MU06RuE8lqT0Y4WQiOFu4fnG+JRRuaS3og6iATUmmpq5l1TVkzwli94HuB09Iro1cQy0cKFQw512W981qScpFOshl3Rb2HU1KK3KfduCVgjOBxjgIRS1OLxEbRQwHNcKcUs+WbBfIis7VdyL0ZWoADZnXEBcWC/kZFaM0UTP5XCQNSdMek400C6qzcGJjV5SK7dUI0YM6aTPGZR6SGSnZLbku7yIUbtiUYbcqJiwQH5CzkKYqN/g1TCODCXjLrw23XTTRZIk4ba/JMGk0qS9ck88IsZW5b1RfS8gRMkQObfCd/ax/vxSq6mDkRPjSSBAAgOk43vyUlUSoWuH5IQb3Zj1MOuquYco1TRHdV2F0uR5nKdEQL4r92Qf5Z468cLGNOmwxo1eIqIRVzHU5QYwmKRilFVIxz0jnsWdIIPqM9hoTgMHwuUW6eNIMJYcL4TDUZOj4AVxzJgMp4MBFiVsMCvdw3nEgJ4Pi53EgGUfwwgEv+KKNbeCQMNnXAns4PsptFkR5KukaZGvMUI9lFrNOmtN75CipPjRriV5NZEB0iKrdouICjqEVsNqCSOGdAaCRLzFXP7CVkBVpf1JqmwXbpPwrg8NgVG60XUaufcSRuAIxX4gFLUmkuXCWKkY02geAQkLWsd+CcFp49+PfUyGXo4n1b/IhyGDZtA2R7irSvBQ7Yf7AZnwojRt5YUhPZ6u3yR2UJeFuMGgYsEFF4z3EmLn8ZoOXKeHdpFzOg0Q5llhhdqIXAJE4D+FqI3gxatIfIElSuCtVjhSHwwebXUifs7tykAKC5lPh+6BwSUm4AV5X5W9tJ9dE37rS4o3qQCRimeeW6EbAaZs9nxTQZT3d1Xg5REdpv+Bg+rcUKDZNV6NS2x3qQI5ZM4VcrZLHDYkjTdIqq3bDoaEdIxA68MnnZKO7whHWdSXMEIeLEYnFTYynEbDDKf1LcJa8hk8DjmSfhmY9NDbN0YASQoNyTnJpejPhjyF2xCU0BfPjOF0TPVADN2CUW+E8BWlmByTfAlZt5qcRghbOYaqBRnJg+Kd8q7km5ZeeulIgojGvQN+181L8OD6IyvX1V/XGFG5JzopXh0NpJOegxRe7Ip0EAvjyJIzlO69lFv1nCnicI+IvQALb5Tueyo06/KwvUQ6PPabJ8OuiwTK76gZ1uhTPh9/CiUxpg5LGIndr4dD6fR0TUQ6H/Vg5wyOuWG8Qm4HlVrj/WY957rhua8CLgudAm0Ij4WWgaNFH+KYEQwgZCmoNJ6QmnJurcMpQ04Iq10T0HfSYTQk/smBE7rxdLSQsZAkC1EBw5lAtSQnIR+Q2skIv4j/d/wQdgnGk1osFQQKC84222xxHyXxzf2PfKiyKMga91OSXKiQIekUclwIrzEfwzuUKxOyJLoQskrz5vQDPCvKNA08hRl5NabOdr68TvcJebS8U7OiSoYWcSWCahejgXRcM549sQd0RTogQy9HwdoYrLBcYJusuNDRscfWEikMirwFVBgeahWMJqeMAwZ2SVHoNtvUbPzcc9dmZzAzJnFBoyPGfDDEUlYdgyugrJ9n2AiTuyFlYXPWnovWJ7hsak71G9Vpx+Wj7uMR4j7wiBHIeh95N6tRN+5wCJ2g76Qjke8BYFySEq0b0qlHMqCq0lMDUL+l4zTjLXEO4v+9qC9pBQhSsWUymF6rrkc08jwWORRhNzkMeSBhQOTpQikilWthlAkmOgUPQNjO79fDa10bnB/CBl4XD7KTGTg7gXtBDku/PNeTeMG5ILgAJMSjcc7keXoxYykPaaSTzvmUUgXSPdI16UAK3hu86aLJyzH0VfAh+D/11DXCobYq5fVDAd6NvESKposEqjspHq2Y69G231+dCoTbCAloH4z6CQ3wtBBcGa3vDO4f3kyzZBHrbid5jqRgEks9KAJtBrcAGblUnHyMcivnAelI2eFIEXOmmXRaXqdq8MD7SjoMPqNBoZQMhgdEuC2FRjqFkAtjrvWN0bLROuPBYIvvJ8PZiaKpCjg+xY2pFgYYAuEzOR7eDYNPjSc/QQhB3s0TIl8mKrCekKDQIOLuNNeDXJyvxnPhOshz8RKE9q677rr4t74QN10jHiXVWCchrIFgn1wv3pwuCc4DEka+6nDkvfyeYl+EaN2q4FwKfbo3RzrpKBkAzWOBZ4/EXdeu7n/nW3BfPxQhNW4FOZNkCoJLYd8hesYUhBqhs+kJhUmItTk8G6o2DSwZVIRDWMB5EyGU+yEecxik1aTU0CQKPXl4RrhMjV/2vqSTATKGE0XgUhEQNNq+RFzNvKUO4Sc4rdRr6k6JL3h9s85ac1R5L2WKOYoKpES7HaskuO/YF4PtvpIOIjByN2JNnonRbbcgHGAYSacXK0YPukoTGACDXW+c+5GUbwbGmmvZKGgwqldPhGQYB0aWl0FWDcjKOkJvEubaw8hjyEtpD1PF+WsFckByLGqItM6xID8k1Qmci0YIgfJseKvyNfqpAbJx3yAFNy9hwfzzzx+PX74OiTtPVQwoRoOno2MECJWC89PVuWGtEIwRuRiVpmZzzFEjIeGiJHEC6w0ROBY8lnowpsiEYEDSmxdjSRX3uIGoVZdqyjcRL96O04WAtEyr4LaaPJxjg1E7Y5Bnx9T3pLYBbUJ0udl+y20V47WoREM2xAFk0toWytskOA+aJAixeVQ95lUQUN89HTc+ZVa9oeomvIY1LbwDSi+jb+EnHpX6Fr/ntxyoB5HRTqPA4QC5KF0GkqjAyF3iXCLc8TDqvBtEJBfF6/Ed4SYiCbJhbX0aw2S9AK8H4cnzyMsxzJ0aZ96aXJt7AVwnhGNBuHJ+xAwk5TpOmIyPso+3Q50ov8Nj5NGSSTt36Xp3i9GQ0zEgcH/IH0LX4TUDG3EZlkxyW6tiVYSskWEzb9eonSZXuG0AxWO/wV6rNVHep6pesIOTppmlCLvbj+ez0EI1YsKhkuN4lQCBqsv75fi4t/DDcmN6HibJXYcEblztclHpJdPACSWo4MnoKiADoR0OBTyPRt4LFzgHxXgvXkqCC8Qj5CYXJKLaLfqe02mGbkiHysmiEt1Dxfg2ehKAdKihhKv6mRjnjQym8OKhMZxzzjnnxA7JOk6rVzGyl7eQv6Bsk5MSHuFp8N4SklKv13CN5MoSwTXWTLUDyjzhwbQN104jT5LodC+4MRHQJz/5yZgQN7jgaVGy+et8IGcdE1zfqpAl000gFoVIkDqLVj8kBu8phDRs9jfJg/uAJg7zREiC0zTokCxcJJFONMbAIhypQvkfRpchZuMRTWqjA30Yz70JAishOUsTO9YqXA4hRmP7tP9IRjjNe2lshkhmm602XjDHHKKV67GuXJecDieWkK4KLwdGPOmo3bDwYIRXgBE3Om6EPIAEPJUbr6eKUfFgQDZCfI3dmRMYb4ZAaM2IXgJdjoSh1SOOuGDcuHGxaHTeeeeNHpGQkjoe7Wm6AZXaYIaVjJtsO50joVC5ON4G0na9/O/cVwXCkrRP9o8AxKIbAgEKgpH3IuFGWiuuuGJUqVUdLs2k0wDPlZyN3A24n8sO5G8BsY5GZzyjYpDQS7DL5Lz1kb16pNvCqD3lcDRXQDBzzRXCPPOEMOWUtW4+/hrVU7OZ4lq6qtPbiimzcFQGBEJpFFuIcYkBOtcgn+M8Voj6vnK8Fyo/haCIWRitMJ2RiEX2XEbnlnNbJUY86fieJRlHhlxepNko3GfCU8IwkuOd/marYAx5Bs2KK514ogeG1ihdkaP4u3CI/AXhA8JidHk9wlmaXc4888xRweb4BiLNRL4DARlSrg1W2El0waPwG44BEQqtOXdCN96XV0kKxE5gG0KICEY+zn6lRLcBgt80PxLS1oFAWE1ui5ScV8TDcb6cZ73hrF8FCWbSaYL6e41x1I2g2fODaLgeYjM9jkk5HKPzUhU+CewuoynqxxQYsRMGeBTlaaSm9BMTaiMdTkKCd7+7ForjETVqABKShHgg84Gs/J4I5IAQkkwZe26E7twk1L5kpx0Ad6NTXXIJgkNjBX+TGXJZ7Ltz4Byp1/E/kYXMg1wXEuK0qudxHpwPBESUkY6/U4x40pkcmoXahgMQAwIkFkA4CxdDMSP5eijMtMhtuEg8OATF6xiIcIDqK9UkNYPvuvD1BbrNkIwUctQ9oRc96zQ7pRaT36FK019PONFUDxqgyl8JJSId4gkez7TTThuFIlri+Ex4kZdIRJLqUrpBJp02kIbzPR7AdQIpErJnkmkSYZ5MPdTtyFcwpNrCyN14bIzyBwNDTacx0CE7zYhnsvXb6RkmuZPdl9mvOJZnbCCnhUy0BCKy4Ok5J3RWUkiOmceT2loKN5KUI2QdB5QR2UXTFwg7dvtoZNIZImTSqSGTTn+QSSeTTiadOvSKdNR6qPLvRQFhVSBsIJUm/WVUyZLlKYTk5HXe8Y53xHoUF0mdDhmxTsxUXKmNTWPlvXzPww8/PFHAkI6/k3PsO92E0AYDw05ZiGgo9JANNZ6psldfffU4vw+y0XSUGhGoE4XRTF+gpx6RgVCj0GTqmN0tMum0AeEggxFWdhhCc09kIkeTIq8iVhTJZg2YeeYQZpmlpthCUGTC8kR0EumQGg+NaM/YJumDPH5saMenlxAobaxiqMkRpVtppZqoUJqIkGLcuFqTVDW9+I7STagSzJ5C1eacLbJIjQuJLijfqsCoJh1eAUUYhdhwhGPmbZh6W74ESTCgyIVE2kifMVY8ampmeSjGlkfEU0IulGymIpD4T/CZC0tKLC/k+wzpcAMjSJRAVWgfzQTKOJJmU6YhF1OL+x85k1EjZCRNyYYYyIKrNqaZdNoAiRSrNlACZAiRTIruPUbyyQwofaHimnXWWuKcPBo5GfEzxIytHIi8DEOLtOoT8EjG4VrP+jwf3sMgwYchQ2EGJjpS8jY8NKaC3oNUGgF961tscE1SDkjmlltqXCink0i3quMb9eG1kQSjeCEiISRyaSTD6EqaG/VLmPOGEozskZbGnHqx1UunnU9hK/VLqUBwKMErQ4yN4S+dqoUYeWZqd9LNiHimmmqqGNZznDw7IBLh9SAdYgueUNXIpDM6QV/DoPJUiAv8rx8pId7SS9dISfgpXXqdChha3gHlW2PYjdoLeeliMxxOrXCe4tb6sB5dhxCZxhT+11PO8SEShIlwCQYg6T6E00xaykvSPqiuTWYlyKQzjCBMhnSQhDljGGkjeRLhFVZYIRKOwtcULks5GWo24ahmYcThElpEIuuvv348lgREREHnBtQ1WxhReA0o097+9rfHnI+aHAo3OTBIYUOeELl5undSh4tukUlndEK6ROcZ1QZG+bwX4zSjfj1Lqby0hkklSCnlqYjU5+XtNwkIzRrDb0MFfdRMWFc/rqNYUzYFBIWzz14Lo3lkVlutRiopbOa4EStyBp7fFFPUQpFQ1SORSWcYQbHkIossEsyvw8sRFmRIGV1/haEkzHk+QmtCUt4TclJQmvqQCbmlSnRotXgUeXXTRLQeiEE9FGIksya71l1B5wCdFZBJvchDU1EeW+pQwOj7n0dDuq3LtAJa5JU+d17It8Gx85iqKBLNpDM6YcQuzKZIVDhNmMntw8MRTtOkXjNQ3adMd2CeujTtgeS6XAeIVCObZLJaJR3eg5Y6VWgFeGDCZrwardsci/1DkAQDwmY+T7Ae4YSORUJuwNvjzQml6Vyg+zbRgffBOXHsiXyNB9M56AajinQUL0K/KvSrBoOs3QsvB8nI48hlHHbYYRO7PiMFbWi0gaHs8p6chxBUEhRQm/GInAcNH1tt++M7iGIwZVyrUHejvoa3JuGfCEZDU4Sj6PW8886Lxyy0xijy5ByP3I599x3ejVolghCtfwgpFAKr46mHfU6eULfIpDMAJDJYaPfHCDw/DK7GzhRrRvvCY4gGsTC0H/lIzWibGVMITiRb9NZ3kFPS0/hMQ1AmyzY1DW0FSIeBT0a9G/BG7DtxBAFEKrkrHpO4vwQA66xTawPkc7+pBRClns8RD1IBHpJQo9yVptf2k/fXqG2oG8d2hVFFOhLsDJnR/+QKJIcjnAMjewSDdBwPL8EFMh2CkBMDrBMAL4cAgdQYSQlLMfQuaCIf4Ss5FFLneoVb/bmuD0l1SzaNhpoogqzZPiA+11lxJzWc18jF8fjLCzJ/z0ILLVQ8JEdHwvVaV24EI6fD43EuqPcUg/YKmXQGgP4pyvsN12WkRxjc3gwpYhFGks8pbsnotRBHCjMpEmV8EZOuVFRcajaRjzGNPEfdIxNDdFrIDGRueAnpsfK3GzPXeEsm4uHpyNWYzYIsnLYDGSFHNac8HMctsi2/s9ZaNQL1Wn2qlC/vix5EaE4bHJ5SFeTYDKOKdIR0bEeVe5ITj2TIxxAQSJibZ0d1/gbF00A0IBylSwEionCbddZZoxeh+SfpMSQjg4Qp3NJryXjnhydB3VY/oV6nEPZCHOk6ysEgTATCg9FlwbEIG7rphN2EBREnCL8hR8elE7lQm9ZAckC6DPDktP9BOPViil4gk84gYEXFcgyhRziQhyp8KrXi8YnqLaSDV+V8JNQ9SpRpmmqraWHUhaKSyMDtznALySEyZkdIyvtOle0Ix3UL+SY8rzMACJd5bOVpKNblbQgC7IfPkI6wH/JEikiFyEB4DJkimPnnryn7Ukctx81TctwVmOMBMapIZ7RBKxoejdF+avfPcMtdUHVRuTHI+snxCkx9QE6sTYz8DELiZTDWiAp4UfI/PB/egxY7A7WOcXO0ArkVfdoQXgJik39K02qrmdpuu+0i0Zn1U97JOkgpzXNkf0jChdjkb2acccZIXAkKXh17fS6oF8ikMzZAzcVQM9za3zC4jLZR/qqr1hpeSsQrLEU4moSq4ylu0eJer3kIbk+GvbhloyfikdHBWjiOobceT6QZ6j2mwcBL4YkhsGQmkZvpGcqUZoRGpfaZPbdPuusIHQqXpVCZ8BrxALJ9xztqXl3qtMPjc0xCa71EJp1hBCFBBjV1cda0dP/994/hKF4OrwBJEByo3tf8k2pNqEoBpXURE6GB+hfdt+VLzA+jZseF1vUaybjwfodMu5lXyNvgIbViqIS9yJiRD9gekqmf3M1v+ZwaD3mknAxiTDkcXozecvJWwoVeEwoIHyJRIJDotRebSWd0gudhDJQuLYdZfkOaCvEgHZ5M4bAXnnUtDCW8xpMxb51enIw2Qy1Naj1RXkZdAt72RLGF3Hg9HmO/Vz7Ok4DNFfpq9lkj5IGIAzxezKTLiGyQZv1t6jiQpMdOza7fFkbjyfhfHotYQGcBOSBScA7rZZfVzoNwGu/NdnqJTDrDCOpUTNGAfBh9ISeGguE1dTXi8b+F8RXOYuzJjsmNeTq8GqE26jbrkV/zfpBPMjqmD9jBkG0ykF8SBkMgvKqBBBoIRVgshfAoyXSDrpdrIxYiCXU1SK/eANq27tq8N0TpmLT+ASRMOOHYgYgAcfUSmXRGJ4SjEImEOMMqLCVc5bU5dRhnhEEAqV5HOErojTdDZMD7sZgKQDsY+Q/5IYTAcCcTJjwlTJe8i2ZwKRAT2+uxUkczWBpa7qkYS0bvCHnwtvx2gtuVV0MIwOOpz8cgJ94LQuUBISZ1Senx5N3oLC0sKIznt3qJTDrDCHJRPBWhL0RBsSVP5S8SSt4BA6xLNA+Hseb9MNJa/VOMmYPn3e9+d/xcnoTXwKMBIS1kRnCRPKp6kUE95Hp4G/IwOiTwuJq1xGHMEJ7QF5k3UhHik+wnTuDx6LKAGEnCrQfCaRYqPEWwiIk3xPupn4ZakStSsy3FpEKEvUQmndEJRlUhJ4MsXIUYAIFQoSU76DOpRuOc4vaPXo4QmfCafmWKKuV4JOIZbrkQngcgMJ6P3EnKv6S/jZAaI1DgyZgyGpkMtK7cEuJDUL5nllO5IsRGhcZDMVWDfUM8HmmXG4kiWKE5kuc77qjpQcxOIRQISBah8aSKRy+SVy+RSWeYQi4kLZpaqt0hF+bdCD8JN2kAqjcbD0MHAz3LVi2GYmTIPJyUT2Hkk7H+3Oc+F1VuCbocIK56Q44IQJ5GQSejz7uQwNeANE2J4DVPBGkhC/snXyQsiHTsq5yU3I5rLKejkSdpNoGAz3g+pO7WMXWD2hzHw/CnmhukZD2kk/atl8ikM/rh8ho/MeKEAkiGN8DoCp2RU2sdY94d+Q9eEQny6qvXlGKS8Yw/yNuYp4eB5/UgnXoIyZXR4YjysYxehcnleBqIB3EhIb8PSMFjKZpsvEn6bKI5rWnkmYrHM+6j3xbasx/K7HhNiFRTT2RCpUfRJlQof0M8IJzoGMEjZRupSDTtX6+QSWeYg5Fed911o/xYmIuSzbwyhAO8D4sEvryHsNoUU0zxFjUaYkjGmhQ5QRgPAdX3beOdaDQqNEZdhmBSqxlejAnlTCbH8+K9mAwP6RAzLLDAAsWIbdG4PaE91xXZMXg6LQifkXvrgi3UpuAT0chHzTLLLLEOx7rCegiJ4UeK3kOA/SAcyKQzduBxkOMwn5pggIJKhh158Gw0BFVMKqym9mXqqWs1LfXgnSQbmvIuIJCQyCTBe8VtH3MqPC7bkitCLLZD76O1DnKgTBcSAz3iqM18Vx5J3gYR8nj8NtKxv8izGKNGQYTJ6AgchOI0N/VdeStkSztk1lC/67iRGzLrBzLpDHMgG16BfE86R+TJcjKKQIkEeBjrrbdeDLMx7I1TJCgQlSuxDQTmc16Ei6/RqByPkJhQHhKwTgrHyeMgPuE43haiQUrCXUgwEYzwmv2glpOTQV62SfYsRCcnpUhUIStP7SMf+UjcDsm2PA1Fm9yN9xlHvy8UiKDsVz8l8Jl0xg7kSITReAkJQlBeIxueg8dJGxyEQMUmrFYPOR/vIRgToOlkICdEuCCEx6uQ85GzYehtKynOvScHI/RFEq35JiLhpQibEXZy+JGIbZE6X3FFzSsRykOEvls8PrGbgn2xDV7b4ovXPCf75nMLElXbIxxHBEqph3CZFu/1A5l0RgDkYJBMYxW+c8YrIKOW06FmE/5qrGM5//zzIyEsvfTSMSSHVOaee+6JU3qr7+GJ8Hx0OqAuY/Qp3cD0A3I5PBokRO4sTyPvIoym/5n3hM38lu0jG8TGU0JWppyWb7KfwmVCaghKHsd+UNfxnlLuhoyaiGHzzTePpNZPZNIZW+A1KKBENvVghJklngIPwbTOEvAEBPXgtSAJ0wRY1/TX8877ZphMXQ9Pg2fD1jLyci5JMs34e7TT5aGK43kIv+mOIIQmBMcrQ15yTPPNV9tvYTPb85tEEiLnSMe2EJRQGiWeAlehQwTFQ/J5MaaLYb+ymqJvyKQzAiBfwrDzKhhkxiN1XCAU8Jk8iPCUeXmSyiwZTpPEzT777OEDH/hAFCAIhan74fmogyGxRiDW5xHxbHgYwnbJUFG/8UiA14FQzGXDsyJYsD8Wk9EJs2nfg2x4Wbaz2GKLRQI65JBD4l+Ehpx4N0hywQUXjAWgyI9nowjWa/cGMuonMumMLfAo1OuksZqiSl4KFKcthtoQx3rr1TyD9BmI+FKraYyJdMipi/FWnASN1Jo4QCdnxMRZV6jJ8CMG20I4ILBA5kwYYD3mUEhNB2z5mUSAci+adtofXhPFnaLWWWetybZ5W6TYoFXPNNPUSEwjUCII4TeKPHkp+0pUUDxi8Tf7hUw6IwBIxKhffgMhCIkJRzHyFG+8CHkWYSzJexdV/gOpICP1NvInvBxGnyfDe7Jd7XX0QhMKu/vuu6M3ksJcEv9e8zRMKqerACA+3ol9QYipHgc5ICHkh4h0SpBzIt/WrgexETnwYuSmFKz6Ddu3DX8ZR8dFzeb/obgvMumMLSCZpBpjgFUTCK0Ja5EbIxOzaLr9eQsUa24PYyHEUIzpYr7E9AdUYrwHQQSejPCYnA2RgTY6CAo5aDzqL0JAdn6LACAZf94UL8VniAvkeRSeFo9VbEAqd6NTtOoCv0E04FFERMJ7clNyQkQPqgzkmyjZpHARkmMEhNZP9IV0Un6gHvUx+kw6bwWjx4iTK6f5cBgNyX3Jf4l+54zsWb5FzkQIDNGokXFReRAKRvU/09OM4s025ISSp+TamDZBiI7MmmQbMfFMkAYvSmhPZ2jiBdtEfhL78j9pkjnhNbkcsm0eDGKkZPMdXhJCtG/J8FGpadfj9+RukJfvKGqFJOceCoxE0hlI9p7OdyadSeH2F16SsxGeSpBkRxDIJhljJKKKX30LEuDxMNrCZcJyQmvyKQIBhT2N9UCJxJi1FPqaccYaMVChUcJRxTH8CjPlXcidhcvAPpEuIzWfS/zL4yBA3/U+D0roTbiMuEDuqd5j4Wl5rwxQRJEEL4s3BUN1i/ecdOQhGE9GJUEohbFJyKTzViADeQ6Je3mOwYBshLOoy5Zddtk44yiZM+/FNjTZ1LsNYfEoyKZTvsYNwNBToamjmWOOOaLCjBKOZ0TIoGAVgaxT3O2uZSIsHox1eEA8Gco2YTvejlAc0QCBA8Jh9OrhvkBO8klCfEQJyIu3NdQYiaRDMp/CnyC3xltF+JBJZ1KIQAtvHXRQzTOoR6MpEn7jTSAZ3gwFW6pzoQ4zvbVwGs/HKeaNIC0w3hby4kFptinchXgoyxCI9Xk8QnhCYGkbzKXLKbxG6IC0tL3xO8VjE/bdt7ZPiOe442oeFGFBPRCM3+J9gbErT60+PDgU6DnpmP8e6udpEXphZBIy6bwVGmZKzDPwiSAaobaGl+PcUqDxNCjT5FqEqngl5NOM+bzzzhvl0kJfVG6+K6mPqHxPt2eyZcWbik95NtRlan/0QxMmk6shNEASCk4RDUUa0tEfDnHJBckhgXX8BtJLjT6F9ngxyA8Z1Q9GjNaHg2EcaaQjr0ct6Nqnh1kI07mVHwOkIyyaUYPTQjiAOMox1FtAYVbcojEExmNQNOp/BMDjcet6zzrFoxPrZtT8ICJjJ2Qkic+jWnjhUDw/Icw0U40wdIRWN7PSSrXtESCQRBtf+g7VGQ9JKO3yy2vFobaPnKjQQPjNb8vt8HyYVAo4ITYhQyE+YbokWHBLDwcz2xPSYdw8BAwmgoH0N0E4JoUEGE4janmITD6tQ5gsTWnAi+FZyP0Ie1GrEQ0AQ8+7QfTCcFRuiOA973lPvPiKQ60r3MUz4q3wsITkhNYQj9CbeX2E0xAJQlPQ6a/pEST9bYNXhjjMy4Oc/OVxgZyOQlWf+676HDfgcIH70T3o3hzOpGPeIM+X5wyZCJvydDxHaRK8BDk5EMJ0rhUMZ4+nNWiKobCTkowhJ0NWOIkQkJDcD8jbKNZk3IXINA9FBJL7vAthMZ9TiaXPeVkkzbZBHDDnnLVQHUIqxm2RqORkeEgIBMEJtxnD87jklYzjfc6TAqIGnhhyUnOj8JQce7jAfWcwrdCcveoGbyEdoywjaYnq5PJTRYHwDCNpVJwqznk6RmF5JNYenK/63IdRLc9SyIosWd6FYAAp8JrU9CAOIgQkIQSTvgeuDQOGlOSRfB+J8WSE7XhM1HG8ICICqjeSZ9vWjFTy3+jawAHxCaH663cZc/cEL4xwwf3AuMsPDRfYb4tjGs6kQ9SBeDxnHl6eDtJxvsnbwTmHJP5ATu4V90we2LWOlP8ApKIdjpCVRweZyMEIa7GhvAzehRofHgaCSF6UdRCHdjvqdJAZ+TMSMxkugiAGoCpDNkiJUICXI0ckG8HboYIDogP1QBRp5bgiKuEIC/y+MT5S6tKhqBTuO/efwU/lpFMPD4jRNLkvg8b4eI+hSsjhtc5BkCF0RVjAqKh/kZBHGEbDOgQQEwCy4R0lg4r0hdYMDHgvcgCpBQ2PJ3W8RjY8HITmOlGuCafpCSc853OqNEKB1Yq7HmExfsKCrjelmo4JVHSMIOm2+qLhipEWXkPcSMh94Jx7tlw7ebNEQjmn0zkUXFKeGd8JYQmbCaMJgwmRIQOQLyFfTuEsTvwNN9QS+nIuPBpqMiRBuuzSSPyn3IvcDZJCMsJ4PCNKM0IFC49mxRVr2xMk8gi5TZHdPvvUwnFqezT1TEQ0HNGT8Fq7yKTTOYSu5GjIj414IXVhFkpR98LYA9Lg6STvyOiY0k0uZ5pppolEw5MhQlBLw3jxlCjQiAYo2UAzUp6U4k6hOfkkRanIS/5HfiiFzRhvv2vAYeAhx1Sf8B6OGIlCgskhk077YJKEsRh/XgivA6RYeS2cdPkVBMJjIQKgbEspWHkdSrOFFgph3Lha3oUnxPkk0lQQ6n+JfqEzi2CPx7V4pCLRCbUJoemCzbsRnkN0yCghhfCM4+0vwhlGAYS3IJPOCAePRjKfUadg43F8rBjyeN8IGIHwNAChIIBkUJ13ORZejgJOYS9kAjwUoTAdB3g/cjMISLJaaJSbLEQnN0R4IJxjpE1J5/dSs1GoD+nI8/CUzMGTOiIMN2TSyUjgOQiF8XZ4GDwVYS8JfSown5e6mejNII6kXpdXoWQTMlOw6TtCXh4F61hXoadwGnIRkhNyo0YT1isuWVTWITYkY6zme6TP9aSDqBJ8T5sbpFg87hP3ZTghk84IB7GGhpy8Dp4K9ZhYPzD29RAKA+da/sbMnBRqvoNQ0rQFcjwEAoQFBAW8GV4RQ+y13AwPiocFPCdhO+vL/Sgu5XWlzgjN4PeEfxr3cTggk05GPdzmvA41Nbwe9lJoDepPqUS+0JpbWrrahGnUakJxwmXGYT5DBDo7ESQYDyI1ITaPC+LisfCetLsB35EC8fvve19tigNeVwrjNQOxgdodf4cbMumMcFD96SogXyO0tfXWW0805LwfHQp4LQw8Yyr0posB5dNss80W595BHqTQQmpyAxRrPk8CA6o3uSM1H3IzhCDCeZp1JhARkFsrDlXTI29TL4tPhJaQQnzDEZl0MhI8SkQDQlYUaAhI3Q7wcqjURJIZd9oNeRoei3GfuhsNNuV8eB/Cb8JfPBz5GyQFyMg25Gh4RopQDz20FlJLsA+6HpBYW4cYgSdUj7S9hOEaYsukMwrAmKh7sdR3f5CTkdRnQJGT5L/8izlySJYlmanQkJAuBIp2rY9Y5GUIPuohHIZoeDv6qtXL4HlcbibklNrmJNIS5kOKvJuRgEw6GY3guSCU+pI5dpNwgOdiDCWMRjhAMKD/mrpcoTF/iQ9IpK0vP4RAkFA9inFeDLPxjNTgkGXXAzG5LanUSKrrG73I6fCWRgIy6YxBMEAS+vWtU3geSelEeEDOLE9DAZdAhIDIvE9ubcrsVoGIRgoy6WR0A3U9bGryiBKSnVU9wmOSJ0I86VZTaCr3I5SnXkevtXYwUh6xTDpjEIxP4/nmuRAEgPwQo2uyuKM1iiohz4OciAAo2NT/tAIej8LFkUI8mXQyuoGQXKM54wGRPYPpByT6eT3qt1O/NNFoXhEBgk4ErZIOmfWNN9bCeyMBmXQyIkiv07TUKSzm5mgmBmCQhdGE8sifJ0cm1jXFQerZNtyRSSejaiCU4raKkuny8Yodn6FMwU4CXpJHj9AAQQ0G3xeQSJLu4Y5MOhkTQYFmBlBkcuWVV06sZh8Iiku32267iU0lRwsy6WT0Avq1Ke5kb4vLEcUCg8EYjZx6hKRCW0YmnYyJ0PLGDcE4kV3r2TYYXDPKuOEoe+4GmXQyegGPidCav2zu5MJhTCJV3Ch7vDLpZDRHvaR5rBmrTDoZvUZ9xcBYuyyZdDLeAmEzOR6LfI3u0GMJmXQyeglhMwo2XQWIBrTDGUvIpJPxFmgaSbmmrkZbHfmdsYRMOhm9BLWaljjGcvqpXXpp+cEYQSadjIwGZNLJyOgdMulkZDQgk05GRu+QSScjowGZdDIyeodMOhkZDcikk5HRO2TSychoQCadjIzeIZNORkYDMulkZPQOmXQyMhqQSScjo3fIpJOR0YBMOhkZvUMmnYyMBmTSycjoHTLpZGQ0wCR1mXQyMnqDvpMOcjH//oPmWy3x4x//uHLS0fm46nn4TbtcJareHqNStbE0u2iV16YXx1z1db744otHPOm8/PLL4Qc/+EH5KoT77ruvctLRlXw43xtVbw+0iKoS7l3zTVWJ4X4ezTicZinuFG17Os8991wcTSacbqaiioF0qp40rOrteWirhJu36ofiL3/5S6WGpepj9tA2m2iuG/zkJz8ZFZ7O+9///vK/2iR9VUNj2Cox3J8vMEqvEu6zqo161cdd9fZeeOGF8Ic//KF81RkGJZ16g5X+f+KJJyYhnRNPPDHuiAv60ksvVbLY3jPPPNP0s04WI8c//vGP8W+zzztZbI9Rb/ZZJ4tjdm6r2kfbMUEb49Ls806Wqo/5+eefD08//XTTz9pdHKdjNnldL0bJ/UD987bqqquW/9VIR8dwo8xmx97u4jyZvrzZZ50stlf1vVH19uyjMKW/zT7vZGGjDMKbfdbJ4ngdd7PPOl2qOo+eL/efKNfvTSzUBQYlHQbhnnvuiYu5943Gn3rqqUlIh+GwEwzc448/Xtkibtjs/U6XkbC9fMydL1z+dB9W6d31Grw94TPPGHLxgMMqq6wS/wJvkME0wqzqfJnavNn7nS7D/V6z9OKYh/txV7U92/F8Wbr1atsOrx177LHhuOOOK19lZGRUDQ/5OuusE/9mZIw2tE06kEaSGO+Tn/zkJCPL/fbbr7I5XLjC5557bvmqcxA7EEDccsst5TshnHrqqeHmm2/uKBH417/+NR6jbUjWdwrnz3YoAB0r3HrrrXF/hVO6gf365je/2XXs3kj8Rz/6UfmqhjPPPDNce+21XYexHLtptV2HbnDdddfF83bVVVfF10K9Bx10UE9yIf1Aep7S31/84heTnKO77rornHbaaTEc2w1cv0MOOSSOYruBa2j+pqOPPrp8J4QLLrggXHrppR0/H67l+eef3/X9m84dLwdM5X7KKadEj7gbOHdnnHFGuPfee8t3OoPnyz5dccUV5Tsh7usJJ5ww0evtFI6dzdtnn326EqLwwl3jr3/96xPzzp5d14ctbBcdkU49Ntpoo5j4T2Cg7rjjjvJV9zjvvPPK/zrH+uuvHxNqCDLBSbz++us7uhjHHHNMjIkj2HQzd4Krr7463hT2hRGHBx54IBoVsdhusddee1WSPG28BjfddFPcXw9MNxBrlsvy8HaDV155Jf496aST4l8PK6PlXI4GmP0VsSbcf//9canCEzJw6jYxvP3224e//e1vYbPNNot/gQ1wj3RKOu6J22+/PT4j3YDxlnf56U9/Gl8LU7ovulVggeOrYmZeBEYAkyCtod4sDUQ7hedAaHattdbqinQ8XwbIq6+++kSSufvuu8ONN94Yn+F20RbpuPGdjMsvvzz+KDDk9aRjhC7nUy+rbgVujMsuuyxu31+voV1Px0lI27GfclBrr712PGkbbLBBuVYtTk55Z5TRLo488sh44x5wwAFd3bxGCy4c4rnmmmvie2kkcdZZZ8W/3eBb3/pWJaTTeA2odoyieBfdwj524y0mCPkm75D36vpWcQ77DTFz9637N90Td9555ySkk85Xu2TNiNuuUXUa5BBetEs6CM92LIz41ltvHclm8803n2iEnH8Ds/r8b6vg4fHkeE+ekW5g9lwDm2TUUz6i24EOuD5VkI5zVU86SAjxmAG4WxjAVuEEuEd4rwlJFdfJM9YW6bz66qvx5rKkG3+99daLF5Jx98DwHhikdkMbTnTatiWNotPotVUwOPXbsV2GzUnzgCXPxIPcKenYFrI4+OCDO2L6BA+DETlPwvlC1AQbRiVnn312uVbn2GmnnaLCpls4b5BCEs6d/Ray7AZqaoxkux2xM6C2xcgJpTCKlDbCgCMNDFC6d5MH55gcn2eOAWFIoN3jM6BJ2/YsgwFUu8+A5z1tx/7K8/LMeTxCdT53H7seiKkTXHLJJdE76TYMxlC6HwzseOidnrtmuPDCC7sODYMQ4jnnnBP/N4hlD4ROuyUdA06RJ89YJ2mEBARjOwYArq/9dR5d/04iUV2F1xwU5U260Rh45GP0UwUYdyOJNDrpBin2mhjaPj755JPx/07ggUpGoRswuEY1boq///3vE/NF3RYDcq3FYrs16Ayda2Af07lzXRx/t3Dv2HYygJ3CvhgVO2YhCSNlhNhtXmy4wL2KbFwL9wdPkzff7XnzfcbD9ewWSAbso/OPhNJ7ncD9VkUIzMDOgM4+uTdEZZy7bgaL4Flwz3X7HLiWBnGIEdIzVoV3wha7vt3m7BLJGBTbX4tni4PRCbrO6WRkZGRkZLSKTDoZGRkZGX1DJp2MjIyMjD4hhP8P5cwSEP5UjeoAAAAASUVORK5CYII=\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('./image/spectral.PNG')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 2.6 Clustering Ensemble Approach\n",
"\n",
"- 다수의 클러스터링 결과들을 결합한다.\n",
"\n",
"\n",
"- 예) Evidence-accumulation based, graph-based\n",
"\n",
"\n",
"- 시간이 많고, 컴퓨터 성능이 아주 좋다면 거의 무조건 좋은 결과를 배출."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('./image/ensemble.PNG')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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