{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# [Goulib](../notebook.ipynb).image\n",
"image processing made easy\n",
"\n",
"Combines flexibility of [PIL Python Imaging Library (Pillow)](https://pypi.python.org/pypi/Pillow/) with the power of [scikit-image](http://scikit-image.org/) embedded in an easy to use Image class"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from Goulib.notebook import *\n",
"from Goulib.image import *\n",
"\n",
"import PIL.Image as PILImage"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"lena_original=Image('../tests/data/lena.png') #Image can be init'ed from a path"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"from skimage import data\n",
"camera_original=Image(data.camera()) #or from an array"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"# Image has many \"PIL compatible\" methods, but they always return a result Image\n",
"# instead of working in-place :\n",
"size=(128,128)\n",
"lena=lena_original.resize(size)\n",
"lena_gray=lena.grayscale()\n",
"camera=camera_original.resize(size,PILImage.LANCZOS)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Rendering"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/html": [
""
],
"text/plain": [
"Image(mode=RGB shape=(128, 128, 3) type=float64)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lena #images have a default HTML representation"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
| | |
\n",
"lena | lena gray | camera |
\n",
"
\n"
],
"text/plain": [
"Table(len=2,titles=[],data=[[Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=F shape=(128, 128, 1) type=float64), Image(mode=L shape=(128, 128, 1) type=uint8)], ['lena', 'lena gray', 'camera']])"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from Goulib.table import Table # images can also be put in tables ! and they're responsive !\n",
"Table([[lena,lena_gray,camera],['lena','lena gray','camera']])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Image modes and Conversions"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"Image(mode=RGB shape=(128, 128, 3) type=float64)"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"Image(mode=F shape=(128, 128, 1) type=float64)"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Images have an attached immutable \"mode\" string:\n",
"h(str(lena)) #usually RGB(A) (float) for color images\n",
"h(str(lena_gray)) #gray images can be either F (float) or L (int)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"{1:Mode('bool',1x,[0-1],\n",
"F:Mode('gray',1x,[0-1],\n",
"U:Mode('gray',1x,[0-65535],\n",
"I:Mode('gray',1x,[-32768-32767],\n",
"L:Mode('gray',1x,[0-255],\n",
"P:Mode('ind',1x,[0-65535],\n",
"RGB:Mode('rgb',3x,[0-1],\n",
"RGBA:Mode('rgba',4x,[0-1],\n",
"CMYK:Mode('cmyk',4x,[0-1],\n",
"LAB:Mode('lab',3x,[-1-1],\n",
"XYZ:Mode('xyz',3x,[0-1],\n",
"HSV:Mode('hsv',3x,[0-1]}"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"h(modes) #supported modes are those from scipy + those from PIL (but in float instead of uint)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"OutMultiEdgeDataView([('bool', 'gray'), ('bool', 'rgb'), ('gray', 'bool'), ('gray', 'rgb'), ('rgb', 'gray'), ('rgb', 'rgba'), ('rgb', 'cmyk'), ('rgb', 'lab'), ('rgb', 'xyz'), ('rgb', 'hsv'), ('ind', 'rgb'), ('rgba', 'rgb'), ('cmyk', 'rgb'), ('lab', 'ind'), ('lab', 'rgb'), ('lab', 'xyz'), ('xyz', 'rgb'), ('xyz', 'lab'), ('hsv', 'rgb')])"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"converters.edges() #a graph between modes"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" | | | | | | | | | | | |
\n",
"\n",
"1 | CMYK | F | HSV | I | L | LAB | P | RGB | RGBA | U | XYZ |
\n",
"
\n"
],
"text/plain": [
"Table(len=1,titles=[Image(mode=F shape=(128, 128, 1) type=float64), Image(mode=CMYK shape=(128, 128, 4) type=float64), Image(mode=F shape=(128, 128, 1) type=float64), Image(mode=HSV shape=(128, 128, 3) type=float64), Image(mode=I shape=(128, 128, 1) type=int16), Image(mode=L shape=(128, 128, 1) type=uint8), Image(mode=LAB shape=(128, 128, 3) type=float64), Image(mode=P shape=(128, 128, 1) type=uint16), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGBA shape=(128, 128, 4) type=float64), Image(mode=U shape=(128, 128, 1) type=uint16), Image(mode=XYZ shape=(128, 128, 3) type=float64)],data=[['1', 'CMYK', 'F', 'HSV', 'I', 'L', 'LAB', 'P', 'RGB', 'RGBA', 'U', 'XYZ']])"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#conversions from/to any mode are implemented by traversing the graph automagically\n",
"lena_conv=dict((mode, lena.convert(mode)) for mode in modes)\n",
"lena_conv['1']*=255 # multiply 0/1 image so we can see it\n",
"Table([[lena_conv[m],m] for m in sorted(lena_conv)]).transpose()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"note that displaying multi channel images assumes RGB(A) images, so for the above images we have:\n",
"- LAB : L=Red, A=Green, B=Blue (low)\n",
"- HSV : H=Red, S=Green, V=Blue\n",
"- CMYK: C=RED (almost zero), M=Green, Y=Blue, K=Alpha transparency (hence the image is low contrast)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Color / Planes separation and reconstruction"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"Lena | Gray | R | G | B |
\n",
"\n",
" | | | | |
\n",
"
\n"
],
"text/plain": [
"Table(len=1,titles=['Lena', 'Gray', 'R', 'G', 'B'],data=[[Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=F shape=(128, 128, 1) type=float64), Image(mode=F shape=(128, 128, 1) type=float64), Image(mode=F shape=(128, 128, 1) type=float64), Image(mode=F shape=(128, 128, 1) type=float64)]])"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lena_rgb=lena.split() #extract gray level images from each channel\n",
"images=[lena,lena_gray]+lena_rgb\n",
"Table([images],titles=['Lena','Gray']+[c for c in lena.mode]) "
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/html": [
""
],
"text/plain": [
"Image(mode=RGBA shape=(128, 128, 4) type=float64)"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"camera=camera.convert('F') #not all conversions are automatic yet ...\n",
"Image(lena_rgb+[-camera]) # merges color planes and use camera as alpha channel"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"Lena | L | A | B |
\n",
"\n",
" | | | |
\n",
"
\n"
],
"text/plain": [
"Table(len=1,titles=['Lena', 'L', 'A', 'B'],data=[[Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=F shape=(128, 128, 1) type=float64), Image(mode=F shape=(128, 128, 1) type=float64), Image(mode=F shape=(128, 128, 1) type=float64)]])"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lena_lab=lena_conv['LAB'].split() #extract gray level images from each channel\n",
"images=[lena]+lena_lab\n",
"Table([images],titles=['Lena']+[c for c in lena_conv['LAB'].mode]) "
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/html": [
""
],
"text/plain": [
"Image(mode=RGB shape=(128, 128, 3) type=float64)"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Image(lena_lab,'LAB').convert('RGB')\n",
"lena_conv['LAB'].convert('RGB')"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/html": [
""
],
"text/plain": [
"Image(mode=RGB shape=(128, 128, 3) type=float64)"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lena_gray*'cyan' #gray colors can be multiplied by a color to make a colorized image"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAIAAAACACAIAAABMXPacAABa0klEQVR4nF29d5hdZ3Xvv/c++/Re5kwfzYw0I42a5SLLlmQb2xSbjukOBC4kgRRIgBv4QS7kSbghP0iouakEfpBimjEdN1wk27JsuchWGWlGmhlNb6f3c/bZ+/fHZ96Vc8Pjh8eWZs7Z+33Xu9Z3fdd3rVf/5jd/R9cd2zYcRzcMu1738Z+67ng8Ta+34fPVGw0v/1y8uHNtrdvnqxuG7Ti6aVouV7vddmmaZhi2ZZnhcMnlamuapmmaz1c3TYs/Nwy71XLruqNpmuPoPl+92fSYpmVZpsvV1nWn3XZ5PM1228VX82P8w/N4vY1Wy80n67rjcrXlJ/lzw7A1TTNNq173eb2Ndtul60697jMM27YN2zZqNX+1GgiHS6nUZjBY8fnqwWClVvM7jm5ZpmlafDiPxFcbhs1XuN2tdttlGPbBg6e83obb3Wo0vMeO3fLss9e7XO1YLG8YdrvtcrnapmnZtqFpWrvt8vtrrZbbto1Wy+3313jHSiVoWabH07z66hdLpbDRarlbLXej4bUss1oNyE7wei5X2zBsl6ttWWa5HKrXfbZtsBksXKPhdRxdNqxW81uWKU9Qr/ssy3QcvdVy81Z8GpvH9rhcbbe71Wq5m02PLLf8jG0bbDDP1m672m2X4+iy7iw6P6/rjuPo7KKmac2mB2vgF93ulsvV5uFZX9bdtg3TtDACw7BN0+IbHUfHvLAh+Ux22u1uhUJlyzJZWZ6Z72q13NicZZlidhgchmLbhsfTzGSSzz57vcEXY1ZiWfwcS8yi27bB4zqOzuo3mx6sjCWr133sIg/n8TRZEX7GcXSPp4l98Yjy/u22q9n0eDxNt7vF8um6g02wBJw2jl2r5e7clVbLzd+yGY6j1+s+l6tdqQTZGwycJWu13NhEpRJsNLxy2jyeJm/hdrcwF4+naRg2J5L/Z8PabdfaWjcPbxj23r1n+/uXajU/n8zD8FJ8Y7vtYmuDwQpnyLLMQKAaiRTX19Pf+c77T568wRDD4TebTQ+bgYXy3Wwvr80S8JT8w5+IMeLHajU/S8k68lGmabHKvCqrIO+GwYrhB4MVvIEsMaZqWabb3RKLkQPBQ+IEeCqXq+331/h8t7tl20YgUMUJNBreet2HOeu6w/97vQ2/v8aK8ySWZYrts6Bzc8OFQpRXC4dLR48+icGJTWCs/K540UbDy1Ox2tls4ty5PcVixOVqG+22q9Hwut0tXXcsy/R6G4Zh4/rF8Dm2HH+sw+1uNZse3Jl4ANs2DMNuNLxygGzb4OBjI7IWHEweCGuyLFNiD//Oi7E3Hk9TdgIvwQPruoPF8AycPw6i19vgbXkAftHnq/NelUoQ11Gv+zivEng0TeN38Y1ieaxGu+1aXBxoNLy87PDw3MTEJG5cfAuP5/fX+Bd5AKx2enrs8cdfUShEfb66ZZkGOy+uQxwo7k/8eyBQxbh4OHGXGGy97sMoWAtZXDaANZLAwLuxtdgaz91senhD7FGOiGHYhAeehLPCd7FkvD9fwfkwDLtSCeJC+UNAQaPhZe9rNX+5HOKZJeTwYJ2uXPZPPK3L1V5cHMhkknxmMFg5fPiEWCevwLfzphg0exwKlS9d2nH69AECEqu6dXDwsCyH19swTavVcnOyeI5KJWgYtmHYPLcEVY4bu4iX51ubTY+EONyFhDXDsGs1P38ii4v/Ae2wMXgJPA9bzpfynhwpNhjzZ5txbrwFzyBIRvxVu+3C+rAztjAQqIqlswGcP9yUxE/C5OXL26vVAK+TSGRvvfWxZtPTGfPxY7Wany1nxU+fPpDNJppNTyeiMzh94m05dxgRb87PsZNsL64A62A12X/LMgl6WCjrYtuGPBlGRMjtPJV8ICuIEbDr4kBl7SRENRpeAh1vS+zlROJ/Bc4JFOYDeUHBJyy6y9XmyYEJhmEHAlXxmfLwbF677apWA5lMErTj99d27boQCFTl3HRuIYgzFCo///y1Z8/unZ8fCgYrzabH56tvQSy2lC3Cin2+Oo6FA8UXs3DibXG+GJGEcU3T/P6aQHiQJVaDXwY/CFLExOp1X+dKAajYCbe7JRgMJ4B/Y422LMiwazU/789r82OCaPEzcr75Cn4Ys+W0scqsF6/GGxFaBDeD1lot95kz+0DGhmGnUptvfvNPAV3skPhh7PvMmX0vvHBNreb3ehu1mj8cLnEsXK72VtBLJLI8KJ/earl5c8Fw7EGr5S6XQ5ZlYtQYGvvHIRWUydLLeWc5+BO2rdVy12p+zorL1SbGiNMX9y1Jorh7cWj8JGuEObNSsu4Yr2WZrZaJMWLXOHocHaYg/84T8niCJsVNcRD5l1bLPTc3DEwyDHtgYHH79sssq2w5XzQ5OfHss9dj3LWaPxQq12p+zmu1Gtg6AbWan+3Ck8jKShbDy7CsPHEgUGV9HZVCCzbw+epiKbhyPlliNS9MdHIcvVwOlcshDoHX2+B4cao4qkBGrJX4JmlwJ5DlSSSwSzC3bRfHF++HiYgPJG7Lbklyg81hW4J0sQa2+dKlHbWanz8MBiu33HKM1W+3XYVCFF996dKOs2f38qXiXQKBar3uI0s1eW5JsjhWHFUSbnFHIEhirOPoxWLE623gLjhxvDAgXXIc4jmmRCDx+eokSrZt+Hz1et0nOYeEWeI5vjsQqO7bd8ayzEIhWqkE19a6WSbJP/gc8dfYqc9X5wcEbgrRwvIJ6OTk8V4SbPhqYUc43LruVKsBFoovmp4em5iYjESKROPDh088//y1uAddd6amxl988Wqe0Ott2LYRDpcqlaDEFZ+vbrI57HO1GgD84c3FFbCZJIc+Xx1f1mlQ2I7L1WZBWWjSC/4cK2u3TQGFrZabnfD7a5Lf8+3d3WuOo0cixXI5FI0WyKcMw47Hc7FYvloNFArRSKT48sv7Z2dHNE2LRIq1mp/ICcbguPDtglaJDZIS85OEnHbb5ffXhF/BDuRRiVJEMs6N7MfSUv/g4EIgUDUMOxisXHfdcy+8cI1pWpFIcXZ25Nlnrw+Fyp25RavlDoXKmUySCGfbxpZ78ftrlmWSwZZK4Xw+5igqiqXBU3FwHJUbc1AkbTFNq9HwgmLltTk0KuFqcyDYYKwSPFMuh1otdyKRTafXQ6FyqRTOZJKJRDaRyBLH8I0XLuza3Exhttdc88Jdd913222PcibwdfgcMiCJSTwzQIDlMAybREn2RpIe+QdPCHCwbaNcDvGH4BwiTaUSPH36QKUSxDV1d6+9+c0/DQSqGxtdL710FV8quKBaDTQaXk4ASLTddm0lPtCHzaYnl4uXSmGgIQ9KbOD3WWIBRaQzfK7j6CA50mbhCYD8vIzgSE2xWhypnp5VTdNgUvmcRCIbCFTz+djMzOjqas/qak82m3AcPRbLJ5OZQKC6uZliS/r6lt///u9cddVLgGDWkc0gQuAQ2GyoLbwcz4ynxd75R9M0cgJioZxLoLPkiSyO291aX08vL/fhqUzTGh+fchz9ySeP4ng9nmYwWCFEiduIRIp+fw3zNcmhwCTlcmhjo8tx9HC4pGmax9MEO+J/QqEyh6tQiAaDFV13ksmMbL5EDsF8HDFN0ZZ8PUvcaHhjsXwslgdWZbMJj6e5uZkSzjYYrJimlU6v1+u+RCJbr/vC4RKBWtedRCLLAuE3TNMaG5vevfv8t771QSJKKFTGY+Do8OadHl+WWPJzIURZSh5S/grXpKn/CfYjqzhzZl8ymenq2tA0DZAj+wpmIcjh4XkeoJRpWgavWihE63VfNptYWur/b/QF/gdHaVlmPh8DdBuGncvFbduAwGLdpUJgWSZMEa6JmImXazS8N930xPJy3+LiwNJSf7UagMSOxfJebwNIWqkEy+VQPh/L52P4vc3NFF6byO/z1VkIqDGO+W//9r9de+3ztm3kcnEOOBbHQoMXMWG8vHhRwT+SweAD2AO+Tj6QTxBajL2ZnJxg286c2ffAA3fILvr9Nf4ll4tz6KH9iTrVamCLhNE0jdWXgowkIEKB4UPkPAp6w/PgXnB5nUeblAKYL/nko4/eJs4UtOooJjkUKrda7ng853a3isUIW+7xNLu6NhKJLA6NAMhLYuw8j9fbuOaaF975zh/wksVihI3HbDEjFlSQDBYjfDXbILwCeSVkF7QKeybZK5vqdrfy+VguF3/ppas+9KF/3vItphWJFPl21ioaLRB4XK52JFKsVIK1mt8Qb14qhdlqNood5uQKr4S/wqETbAGpfA2ZC/sk78wPsDGkBbFY3u1u+Xx1PrZYjPCL5Ifs4upqTyBQjUYLoVC5UglubHTlcnExSY5UKFRuNj3AB7y8pmmNhjcSKf7O7/xrqRSuVgOlUhiLIRRjTPCDnTSRBG3WgaUByxmq/EJigevAsQhtgwU88MAdn/rUF6H+2RUptzUaXhgIjCyRyGqaVixGbr31MQPCCPPHJEGWfJnkwBg4BsKztlUJwlF0PydG6EPslMXFYE3T6u9fWl3tkayKbahUgh5Pk8TC42mGw6VgsFIqhcEeULtLS/267nR1bTQaXp+vXi6HsAwQjuxBo+H1+2v9/Utf+crHv/jFTxWLERABLohjxwEFIHIESV84IplMEr9XrQaEB/1vmY2jCF1cECb44x+/tVbz43j5NJcqWyWTmVrNL6fNcfTNzdTExOSttz5mOI5eqQSz2USpFOaz+BoelOWWj8OuORyChXRVvZEUH0v0+2uChUgvXa52Lhdn59iqSiWIW4d3KpdD6+vpYjECKi0Uor29KxigaVrAMywd6wO/WZa5sdEVCpWTyUx39xphtlwOuVztj3zk77LZBEYmoBDgy2HCUDRVgzIMO5+Pzc8Pra72iLFrqlAsKbqsPk+i6879999p20Y8nsPOWEaWyOer67pTqQR52b6+5Xbb1dW18brX/crjaZqFQnRjo2txcQCXwkI4iuzsRMf8IW6x3XYFgxWwTbUaABThuPh6oerYNgCZy9W+cmUbP8CGEYj4kEbDm0ptRqOFzrRoczPFgoZCZa2jROP31yqVYLUaaLXc27ZdkTolP2yrOsSuXRd27rx4+fJ2v79GPUDYUKF3JCWWfGVzM+XxNJPJDM+JV5AUupOb4gXPn999+fJ2l6tdLof8/lokUmSfhODZ3ExxuKPRAlnk0aNPstlGuRxaWekVNycP0UkhsOGYniwr5m/bBpCOdeF4ctyElZV8Z22tm2iM47Zto1iMhMMlNqO7ey0QqJqmFY0W+OpkMsNBaTS8oIh8PsZHzc0Nr6+nh4bmt2+/TNgkweFsceyw+o9+9BtebyOXi+fzMX5S6g2dLD/fCAoolcJzc8OZTJIqiMfT5NA4ji6sjpDbuVz8scduJanGf5ZKYU3T4Ky83gaG7/PVeTu/v3bddc8lkxmSJGNjo6tYjIDqOE2CPnlVVoqwzurLgooXLpXCOJlqNcBHcZwxSf4qk0nqqkhQqQQ5QC5XO5NJkuIRRbD0UKjMNjQaXkIZngpn9eKLV+/bd2bPnnOaphUKUYgj/AO5q89X56zw5F/4wmdIzcgMQH3EWLFoU8kjeC9iQLEYqVYD+By2kzAJVgRK/PKXr6f6xkMS2PitaLRADONJAoGqz1ffv//lVGqTHUomM8bi4oDWUQbB+3caCP4X8Mur4qBllSkkCAGraJ8tpQbGxQtLZPZ6G4hccNyRSJEfw5D5ItO0KpUgbCgn2uerX7q0wzStm28+DqB2udrBYKVYjBSLEag3HpVqCVlesRgxDPtrX/uToaF5aFdyNCkV8PpsIbGBaDE1Nb65mSJpIgqKKyZfMU3rzJl9mUzSNC2cD5iiWg0Yhh2JFDVFoIZC5Uik2G679u9/uadn1TStbDbR3b1mmpYhfsZSUhbemd3m6/9bcVFqGiS3AvkJGFJq0JQ0qKtro1IJIoxxFAMcCpXJbgqFqOPo6fS6lE852pDYxWIElsLnq584cXj37vPbtl0BkCBuqFSCVFzbbRepstvdgiqXXLLVcgeDlc9+9vMHDpwWwQv7x4tIGZ38nxCaz8cymSSOSDCr0FwUix566NUi14BVlHdsNj2lUpgNJlyNj09Rd7Fto6dndStw4geIkLCmUt+QvMNWxVLJ1EE4OH32A/sNBKr8IgiahysWI5lMEpMXBUej4SU1B8ZgMiRlAB4yZND0+nq6XvcdPnwCGEetmOQchxAIVMPhUjyeI1MjDAhZz5PU676Pfeyr5XKoVArjY8GIWke5WFYDqDY/P7S83EcNCjOFZGXFjx+/WdO0YLDi8TRhZIFYjqNHIsVqNQBOw//s3//yzp0XQcNEGr7UEOjJd/NuuB3icFtVyoTnQRFGNGPdJSXB97GmfOYb3/hzIm0wWOG7xMyj0QKsRqvlhpfmVR1HDwYrrZa7Wg1sbqZWVnoPHDh9zTUvkBzAykEE2UqxwSLWan6/v8ZJ4oDynDwVz/Oxj30Vz95WpTcsmoglpsaBqNd9U1Pjy8t94otaSvU2PT12/vxuASyEMZbb620QtDkW1WpgaGh+//6XAWaBQDUUKmN8Llfb1FWBG8PhOwBqVoduAOyPK4SKwKfbSiwl5R6SAPRPtm1Eo4ViMQKsDIdL5PQUEkiR+CgMmVOMP3UcvVQKRyLFm28+jr0Qx1otdzab8Ptr8XiOb8/nY9FoQRAqr5PLxaFXCUhYutvduummJ+69923EDKlMuFRVHKuUpAyOYXZ25Pd+71/6+pYty1xb606n1x988DX3338nS8y6wW7yPHjCUKgMMRyJFDm75XLI621EIkVDVXkty9wCAJKJkOVCJwhJYimRAdhA8hfwnK1qqjx0S8lRazX/6OjM1NQ4oI3tCYdLwqmBEKDmhcQGMq6tdTca3v37Xz5y5CmwzepqDyxsrebv6VkF+wKFqdJUKkFenhgYi+WlQK0pvQLQ8BOf+HJnZmMq+RQPwIbxW62WOxwu/eM//n46vX7p0o5Wyz06OhONFu644wEpzuiqpl2r+WEVUe/CINm2cfPNxyF03e5Wd/cajC+LrGmaIfyB0FuCBMQWCE3gos7lFveF7wbwcvY5y3fddZ9gRPZPfCgJOp63VvMvLfWbpuXxNAuFaKPhXVvrvv76Z3lc/iQcLuVy8dXVHoA2J4b9xsOQaobDJehFKQJzJkQD0G67+vuXAHti77IInBWiruPoR48++aMfvR2CYWJiMhot8Ofd3WsQbZLkZ7MJmDQeyeNp5nJxt7s1MTE5PDzHTwKshbtkEbZk344Sz+LZhWDCOZodkutIpAhOwIoNJQ9hzx0lUSEDtCxzcXGAr+djqSLVan6fry4JcKUSHB6eY6HrdV+5HLrjjgdYyvX1NCl6Ph/r6Vl1HD2bTQSDFVg/6DPiOWy2wHweWMgAt7tF5kHR+0tf+iQ5HY8k7ouYQWj5/Oc/+7nP/eWJE4cNw8aEwREkPe95z3+A/YR4IGZgr5SyY7H8wYOneAzyTUvJLyTv28JPxFUoU0KKvAN7QMWVJdOUCFCKqI6qMhOFwNE4WeyLXMG2jVrNH40W4vEc/hd6h9jg89Wz2YSmaa9+9UO67pTLoc3NFJDZto1UarNYjOi6EwxWVlZ6IUcty1xZ6RVtmTAoEEEwptVqgCxaBIRki2984885Qzy/Ydi1mr9QiFargUik+L3vvXv//peffvrG669/NhotwHlgLiSDkt9wmDBtGDDeyzDs229/hENDCsZxx3MIRbYlBYRmIJkkgTY65O1sAEeGCjBhgze3bSMYrAAKcabswejoDAmw31+j3AYPHghUpdWAohh4YG5umLp2Ph8rlcLLy314m+7uNci1np5VKbG6XO18PlYuhwYHFzAFLAOtB1VA07ROnDhMfkTEY6VIIA4ePHXHHQ8QyYhbRL4777z/+99/1/p6em5u+PrrnzWU4gZQLxqnkydvAKaXSmH8AaaMLdZq/h07LvX3LwljiquQJ7GUhnWrYgV4YiGwVgIFzkdSdknfofVRGhH9WfRKJRgKlTkfBw6cXlvrLpdDHD1MzLYN2DeweSBQRWSZzSaGh+dGRmZZShBRJpPs7l4DumUySdi6Uinsdrc2NroikWIikSWS88AkAXgV2zYuXdqxZ885KHjh4PAzUN/hcAkHW6v5qX2+6U0/q1YDy8t96fQ6nBr1RQgGU0m1Wi33+fO7MTV2XY4+29ndvXbgwGmQMb4U8wetmkpo1Gq5t0CCofp4RAMqXoXUjPREansEW9C05AqGkq1Txtq//+XV1R52jjoPLsvlam9sdAHMl5b6Xa52sRiZmJhMp9cBM35/LZ+PxeO5YLACjwg5DEoJBKozM6NDQ/Nwc8AqCIxMJuk4+pUr25aX+7LZBN0T+I1225XLxUUZls/HqMJu334Z6vDw4RO33fbowsLg6mpPIpElKeHAyVk3lAAdtIb+jKWkgAOmSqU2r776xVCojPGR8EsFFG8peostPRZWw2JpSliqqcYr4C0lULIEAg4ZkHCQltK4EwaRKSSTGds2QPTQs7h7Xqa/f6lYjAwMLOKI19a6h4fnzpzZ19e3TAZvmtbi4kAslqdUeeHCrkCgumvXheXlPoIqy1cqhb3eRjyeo5QWCFQtyywUohxTocfxM3gMt7tVKETRII2PT83MjJbLoVRqE/mmo/q0XKqDqqWac/DV2WwC5zE0NL+01E8OjLtLp9fHx6eAlLFYnkMpknqx4C0vRNDf3Ex1+nqhhgwlyCa9gkmWYpsoO/BxkklSJ7Fto7d3hZPe17fMEhSLEcADYoBazY+srFiM5POxrq6N8+d3p9PrcOWAdxwFvxuNFoaG5vP5GPVIMo98PhYMVqCbwuESQdgw7O7uNSJNLhfHGvh5YOX8/FCr5cZ3l8uhWCzf37/k9TaoJOOpZO34Lbxxs+nZ2OiCc9V1Z3W1B9SHbsOyzLGxaaze09GVJcmWEOBbFCdusatrQxwZijY5Aa0O3SspAn/CThAApJYJlNaVEMi2jXC4FAqVE4kspkTU5T0LhWgoVOYpNU3z+2vT02PsmdfbQBKRTGZisXy97rtwYVcikY1EiplM0qWkJRwRXXfwJzwkHq9QiOIW1tfThuqyg1xC/7F793mPp7mx0ZVMZjAIADF0uqPkIFRAZ2ZG19fTbaVM/aM/+j/ofHHoLBcfnk6v9/ausOKhUBkjFqmyo+QK+LEtGKrrDpwtm0FAIx4IwcuPcX5xR3qHgtVQghShGC2lQJF8lYO/uDhAFK1UgvF4DkdZqQS7ujYWFweGh+fcqlmqu3stFsufO7cnm00Ui5G9e89WKkGKKu22q1QKUyrg6OCyq9UAHIvj6IlEli2UpjCSo0wm6fE0x8enlpf73O5WV9cGETKTSYIdnQ6NKdswPT2G3vLhh18FkYdleFSLHCBV152hoXmAv2WZ4XCJJ8HxEgY0pZKyle5/C+m3lOybhe5kEB1VhxNuDuAoHs1RRTTwBsuNFzYMG5TCA4GsPJ5muRwaHZ0Jh0uFQhSQMD8/1N29RnSifwHQFovls9lEIpFdX08jSWKJDcNeWent6togJrEiUtVBDAEIEW3AxkaX293CO7P98XiOd4ShcislWSfH7vPV19a6U6nNZ545lE6vNxrehYXBRsObySTFHwDN4/Hc0NB8Or0uhRBCHZm53tEGKyHTcfQtdZjIx0kICS9CGFlKWSalkpbqIZB6mePoaL4IA729K5wbqPnNzdT27Zchwet1X0/PKolMNFqYnx/KZJJ9fcu26oLjTBiGvbg4gK/D8G3bKBSihUKUckI6vX7mzD6h5uG9yWMcRy8Uohzrcjm0utrTaHj37j1rmlYmk+TkOY6+uDgACIaNx6Ll3VmsJ5882te3PDc3fM01L2QyydHRmY985O8gfwSt4I0Nw96+/TLmj/PpxCZSXccZSPnIcFSTEC7C42lKa6etOrAABjyfZI9Q4XKsqCLw9c2mRwrlOEFQE/Wp3bvP+3z1jY0uyzIvXNgVjRYGBhaJk3hzjHF2diQSKXZ1bcBqtZSwjiLJY4/durg40NW1wSvBAIPoSqUwFLRh2LOzI/l87KqrXnK52gsLg/39SwhbcBpoeEAQHtUppaueYZerfeHCrnR6fWOja2pq/JFHbt+x4xKnGX8Lv9bbu0LU3LHjUjRa4A911X3dVm3SAu75F7i/Vsu9FbXMjqEDjmpGgLfD9Usq5CiFlugPXKoJFJiEj+YwYUeRSDEaLays9IbDpZ07LxIbkIYlk5menlWhX/L5mNfbSKU2L1/evm3bFU3TLl/ePjk5sXPnRVR7V65s83obb3/7j1KpzeefvzaTSU5MTPb3L5HfkhnNzo5cvrx9796zqdRmT8/qxMTk6mpPOr0OU0ZQ5TxBobPxIBOpi/BSpVL43Lk9c3PDgUD16NEn9+49++lP/zXvhTBJ1x3U2oFAdceOSzgAJPXi6IVndSmVkaOEp5qmmZJbC4QQ547nEqpW2LeW6oG2lapJAKs8/cZGl6ZpoVDZ621QDnO7W6FQ+eLFneFwyXH09fV0KFTu6toQya1s//JyH7CVquSBA6fn54cqleDCwiDE5/p6OhbL9/UtJ5OZlZXeU6cORiJFojFgMRCo/vCH7/jylz+xuZk6e3bvzp0XddV9L/3fvL+cUfkX1nd2duTkyRtefPFqCpwjI7NXX/1itRp49tnrnY7eMcJVu+2amJik70UKWRLJpaArBDj2CnA3wXOCIz2qP99QvZnwdm01kQNeGt5Ucjzg2taWmpauO/PzQ3jncLi0uZkqFKK67ly5sg2WTU6YrXrwbdWcDHXFxy4sDG7ffnlxcQCx0Gte8+ClSzs2NrqefPLooUPPHDt2y+Zmyuerj4zMXrq0o7d3BSQzPj7V37/0Z3/2V888c+jQoWeSyYxwnOI3+HxDDRJpNj3xeA4n9vjjrzh27Ba8AvWT3bvP79t3Jhwu3XXXffRitFQTp8fTrFYDoVB5+/bLfAU0Nalf56sJVNGV2Itd31JLc+LE43c6E0I8P02II98jQ8G5u5Twtq36e7LZhNfbYIlDofLmZmr//peDwcrCwiCymWQyg1yS/yRlx3GTA29sdPX3L21sdAWDlWo1sLg48Nxz1/HhO3Zcyudju3ZdCIdLFy/uPH9+d7kcOnLkqcnJCRDOBz7w7Xvvfdu73vV96mu8I5YhFiPJkVv1VM3MjN5zz92SewYC1VRq85prXhgZmXUc/S1v+YmsA7YsiuPt2y9Ty6NU7lHDDoAhVsf4lc5V4g9NGB52D2aNJcb7m0rew6+RTDlKtWCoPiRYeJASm6/rTjKZKRSiLlcb6Rysst9f29joIkFvd6hLgZKhUJnC8vJy3+DgQrkcWl7um5sbJp0GTlDqWlnpff75a8fGpovFyMGDp371q9eVSuFiMXLzzcff+tYf//jHb33ta39N/U6qGvgHTfWGGEqqDnz60pc+uW/fGUQuyWRmdHSmq2sjGKxQuJbKklupBXUlWvB6GxMTk+wEUhSCiq4mcLg7BIaGGkMj8PK/vCEeHC+pd2hg+AGhHOBsMStAPTwM5izVx1bLferUwZGRWcOwEZLMzo6wRuFwCclbPh8DRMOqcqKhE+B5nnvuukIhevjwiUcfvW19PY2Xe+1rf33+/O5Tpw7GYnmC+a9//VqXqz05OfGe9/zH0ND8Sy9ddffd99TrvkolyEuRo+IZhIsHOLZa7s985gt+f23btivBYOUVr3hc/so0rXC4NDo68/rX/5Joxz/EM+y3WIxcddVLqdSmo/p5+UVYFpdSymKURAJHaf1YW0PqvVCyWAr/4uoYPyTHFjMn9kL0i45IeGn24Ec/ervPV/f7a9Fowett7N17dnx8KhisxGJ5QktDdbvzjen0umlas7Mja2vdLlf7/vvvhJU8ceKwo/SpN930xMMPv+rcuT1wL7t2XXj22evf+c4f2Lbxhjf8gh7EQ4eegRjnONK31FR9r82O/r2vfvVjX//6H7da7uuue448EbbV56sDEIaG5l//+l8KtSXP7CgxhN9fGxxc4M+TyYzgl7YaTyS8gCyjBPwtXkhTlS8h1HQ1ucBRdUucFy5Iyq28j5yvlhoXwunjCxBUwd4Q3/r7l4jYm5spVp8F6ulZRXNw9uzeU6cOXrmyjT4kw7ALhejRo08Cw1588WpKkmNj04VC9Pjxm1/5yt98//vv+vjHv7Kx0UWjaCyWx+SJUmASXfXXw6+USuEf/ejtlUowk0keOvQMirnJyQnyMtO0IpFiqRR++9t/RGR2u1uktQKcWJBYLI8YSTbJVAMaBFKKZ26r/rLOMuJWdclUDbcy54esivzQ6RjqZVkmymQ21lFdOJIHcAAJ1J/4xJclFtm2MTExSXJbLEag4fAMMO+MARkfnwqFyvl8LJHInj+/e3m5r7d3ZXFxgHeW6uOFC7vghHftuvAnf/K1e+99GzR1S+kqydJRRAsHQKGCktlNNz0RDFZs21hcHFhfT4+PT/X0rFLFHB2d+fnP3/i5z/2lrjvBYMXvr4nqTYhS/nBoaN7laudycRJ+ElXRlOhqVhavKfmT01GY3BqOJb8gWYMIICRplnoCWTG4RVNTqbSODhnJHjRNO39+N4QoShOob8AVJAFdkpTdT5w4nM0mwuHS9u2XFxYGeWLYUOAdYQYtaTq9vmPHpZmZ0VbLfffd94yPT5E6lMshcTu8i6O6S9zuFm7N76+l0+sHDpxOpTaXl/tKpfCPf/zWcLhUrQbW19N//ud/8eCDr8G2JEUVpQncQ6EQdbtbg4MLJCtokCzVLM3KtJWgFlchmYememNt+oRtpd8zTYs0nfqyoYRHesdsPH4S/NtWuj5hPAgSgBae4+TJG7q6NgKB6rZtV1otN3Ilur2j0cLw8ByGvLHRBVhaX0+/9NJVfFc4XPL7a2tr3WNj0/F4zlQTvEqlcK3m39jo2rv3LHOnvN4GyhyKtKQabjUZStcdEL24R4IczVKtlntjo4vGUNhZTIq0GS0J8J+SC5xxJFLs61uG2qLyzne51Fi6TvzTVj2jADCXUntqmmZ0ojFLzXSxOsaRiM5QamdkBp11YyGoNfU/4hJo1XH0VGrzwQdfA2GAaBsYIB1hTz994/nzu2kQd7naS0v9lmWmUpsUj6anxw4fPiGhjDabo0effPnl/XfeeX8wWEmn1z2eJlWzltIUa5pGUTocLhFapYpLSk+/LhJgt7vFGLFwuLS4OOBWku9yORQIVFE8tlS/H0F427YrgJ9otCAos61auJz/e9aQpXpsJAXZwscgFomx0COG0kA4qj9AiAo8KXycnAACnfi4thrZYprWykqvZZm0nUK0gZcTiSzt1y5XOxQq483h0YjGPT2rUA7d3WtsWyq1iejVcfRPfOLLuVz8Yx/7KjITyd4JJI6j4/Q4Q3L2Cac4z0ikSDJIvTqbTVy5si0YrLTVOEC7YxpUtRqQnh8SkXR6vadnlfo71BB6J8EsYpFizcK1GKolpNVym5SN2LemmpMj+Aeig6UUkEtAZsU5/vyVsBGGmmYGOopGC889d52uO9FoIZeL9/UtG0qEk8kkaQQzDHttrVvXnZ6eVaZBzM6OoGxFqPv446+gENhuuz73ub989tnr3/Smn21upjDqYjESj+dQtOEuJicnkGqFQmVRq5M6YXAE2J6eVUR5a2vdu3ZdgDshD3WpvnNJ+FkWqO+xsWmgDvgV2xeVkaaGbQD5OD1SVbRV07KuO1stZLrqVWOXZKPE48NsoLeBNEeW7XK1CRisPo04Qs+hGv/a1/4EbJPLxZE+YIk0lbfbrgsXdoGFNE1bXe1hABPBiYEeV1310sZG12te82Cz6fnQh/75woVdJLrBYIWSMkU+oku1GpibG8btcPBZIGosskA8bXf3mtC3JIbgC2Al+4TLZR0B4kx/pcrE+7rUVBNNKWtrNX82myAdEcKVFeY/+bGtGggqCR6XE62rjhcp+VIyRQImO9RS8w/ZDMsyI5GihG6P6jdnXiRqPUxmba37qaeOZLOJ6657jo+66qqXDMMeHp4TwR2n5KWXrpqaGl9YGAyHS3feeX8+H9u27Qq0KGwrMw6gfQgqWD2mw8PDu0nCz5t6PM1gsMIQFq+3UShEf/GLN5BAsUO8PmIZAB5/1d+/hJaQwI7fJiEl9xTOGF1MsRjpnOnAk2ydgJZq8OA34XJF29RWwz6B9myd1C44le6Obiy3u7W83IfKoV735XLxajUwPDz3v/7X/85kkpFIkYgyNzf89NM3XnXVS82m5/Ll7UePPhmL5R966NWjozMUvEql8PDwXLPpQTwxMjLbbruOH795cHCBvFqwr8vVTiYzoVAZmq+hBhy5lBhLDrSlpnmATVmFnp5VggGBjRfp7V0R9jQSKcKygMpwHRMTk7gKlxobxp8jWg0GK6iGhL8B/9Ab0pkbOtSEsX2qSC41NcGleoy0jtkUgoUcVbkUlC2vRHCnDSESKTL257rrnrvqqpfIA4rFSK3mDwYryGn6+5d+85tXZrOJvXvPAiLJIYaG5uFZDxw4ffr0Aa+38Z73/MfCwiASLugmrHViYjKXi09Pj/Ei0s7Ho3K+BVBINRsHS5CQTjzMFl0eQYVQye/ypT09q+FwieFjspR6xxBTl+o4wnqEdhWgT+l0qypgd8yIhkc1VPuAnEFNzXyCrRRyw6XG1ErBQFRyvCTq/m9/+wPf+tYHGw3vjTc+jYufnh5DIUFrKiazutqzsdGF3gtQmEptGoa9tNSfySQ//OF/evzxV7z//d/RdQetMktsGPZjj916zz13z80Nv/TSVceP3zw5OSEhzrJMURPbqsUBiIyo4vLl7cvLfch+LcscGpoPBKp7957FIslp+DT8iWlaqNvrag6buBQhlZuqmZuEFPcrng2zsG2jVAqXSmGTICzgqTOxkvzW6RjZUSqFwam66oIH+XnU6CzDsFGIer2NCxd2jY1NP/HETZjhD3/4jqWlfjn1lUpwdHSmu3vNto3t2y/Pzo5ApyDy6e1dgW1++ukbr7nmhaWl/g9/+J+WlvqRSVP60HXnvvvuGhxcYOE2N1MvvXTV6dMHfvObV+7f//KrX/0QZk5nJKsGpqrXfWfO7Hv66RsLhWgymRkamr94cSe+sViMMA0d7NRsegqFKDCGaDw0NI/IRchnWw2MbavJf5ZlQiLpSmwoPDGl00bDu5UlQOibHQNtRBDJZnDERBQNkxWP5/SOWZBmx7AdjKK7ew2Qs2fPuSNHnkIONDi40Gh4L1/efuTIUy+/vH/HjksnThymP1IaQK699vnnn782Gi1MTY2vrXWTc732tb8W6Uo4XFpa6h8amo/F8l/96sdisfzGRpdh2FNT41df/eLAwGIikUXh8vzz146Ozkh7E8AGVdZjj90Kv9bXt4zianh4bmFh0ONp0uLqOPr6epo9QKULEU1vqZTtxPHK6Rdm093R8yIUkBDJjoxvd1RjghRxhCyV1BeTEXeEXYj747cod7Ra7rGx6a6uDdofDMOenh4Lh0u7d5//6U/f3Gx6du26sH375YsXdzL7yu+v0XRHAUDTtLGx6XPn9uDfKSx/4hNffvbZ61/1qocBUc2mJ51eTyYzn/vcX9brvunpMbC5aVpnz+61LLO/f+mOOx5g8hTSOcp8GEq97jtx4vDU1DigE9eaSGSXl/uktNdoeAcGFtfX050QEUlSf/8SxX3pB3VUoVFTY1wc1YJpqMl/wKe2GotpqUGkWyjIUuO5gRYQBoLDJCWxVZuqnAzOCn3buu7Q/75r14XV1R5bDTKoVIIPPfTqX/3qdZVK8Ld/+9/m54dCoXIqten313bvPl+v+xAogsrL5dAPf/iO173uV+PjU+Q70Wjh0qUdf/AH/0BMwxpisfxnPvMFOial1SAez33kI38Xi+VXV3vuv//OeDyHz4HastXo9M9+9vOPPHJ7JpPctu3Knj3nsDz8KmZbq/m7u9dw962Wm3Yo4L/X2xgYWGwrvROGa3eMmRMljhwOajvsB4ZiqdZSwvtWoQd7l1zMo+aam2oikDBCOHeYQp+vLhUYniCfj6FkBgudPbu3Xvdt23al0fC+8Y0/v/fet91ww8kTJw6zZNPTY4FAdXp6rNn0nDu3R+pQ999/59TUuMvV3rXrwu/93r9s23blwoVd8XiOZ4hEil/96sfAEqZpUTG3LLNYjBw69MyXv/yJvr7liYlJhFkcAlKQSKT4ne+8H1Gt318rFiN33PFAPJ4j1INf4/EcKo1t267gf3TdIddrNj3JZAb9HWyEWLQcBTyV9KpwIGrqgoGGGppETrCVoBD3NKV4aKuxP3yo1Gwt1fzHjxGUQNmJRNbrbcRi+Uwmefr0gZ/85C1DQ/OvfOVvvN7G8eM333vv22ZmRo8ceerkyRuSyczp0wcQ6qImA8ZQDOjrW5bbKLCdSiV4//139vSsQnaSmn7jGx8dHZ25+uoX9+0702h4+/qWr1zZFokU/+iP/g8M2k03PRGL5WnIgR+F+GQJXvnK31x99YtdXRvvfe+/U86jV0BIOqRHsE/wKEg6DMPu7l5DsaCpEc52x0h4WynXhUQQbScIheMoDZDJZGZ8fMrEm7NvkjRK9VJTDWLCpQjmBVfRU/bcc9fZtnH77Y8MD8/t2nVhaGj+Bz94549//FY82Otf/0sGJ1HrWFnpTSYzTz994zve8cPe3pXp6TFddwKBKlI4cnfO7Nvf/qOBgcVqNQCJX6kEv/nN34U42rbtSm/vis9XP39+9+te9ytE1Ew5CQYrhUKU5dPVPQQU5qAzR0ZmDx8+EY0WJicnUALgXT2eJmJetGI4H5rR2MXBwQUwDMsl7C8LIrpVj5oC11azKGBrxJ/39y9FIkWSZ5McmEYnQjk8hq0UWuS3sg2AAX4ZRcXAwGKt5r/77ntSqc0rV7bF47m/+Is/B5O94Q2/OHbsluefv3ZubhgEzdgCXXduu+3Ry5e333DDyYsXdwJOvN5GLhfHcVuW+Vu/9Z8nThx+17u+H4/n4AT/9m//J7JGtxozNzo609e3zCSGXC5+4sTh4eG57u61Vsu9uZkicSXFxXHffPPxXC6ey8VfeOGajY2u2dkRKOVCIUozGnkD+DIQqML/4AySyQwkitDabTXkjxgrBRKXGlzFvlqqB80wbIYrylizdttlwnVA5FqqhQrPw8kQVCshQZJ79nlmZvSd7/wBUPrFF69+8smjsVh+dnbE42k+8sjtv/u731xb6z506JkHHrjjzJl9iUT25puPb26mBgYWd+68ePr0AaloOkoVwek2Testb/kJri8QqH7yk1/aseMSUJJMraXGbnH2mZTE8Fz6GjnH0NcE1UQiKxkWCSAwIRotoEkgAFiWGQqVgaGtlhttNo0LNMe11TSZlrrkwVFqQ7JlaQig+INHHRubpk5FlFY/YNhouDt/uq3urZD6Oy1q7ISlptaLZsKyzGPHbnnuuetaLffw8BzAPBbLHzr0zPnzu3/60zejnbIss6dn9dSpg7fcciyTSR4/fvP+/S8LjNN1B2PXdefDH/6nublhw7BTqc2hofmPfvQb+F+3uk6q3XalUpsownt6VmmLIK+Ox3OlUjgWyws4calLOkg4KIRRtiMUUT+g6gnViEuh+4xMc3BwQV5ZNBZQDrrSZIpO262mJsOChELlvXvP9vSskpQ4Sn2r644BYGcuL40MPLSoG9uqr76lpmnqSnwBygYY3HHHA29848+HhuYvXdoRDFao8AGWb731sbNn97bUQPi9e88eP37zjTc+/Za3/GRhYXBsbNpSXX9g8+7utYsXd77ylb9JpTYDger3v/8uuGspupLW2mogaihUDodLkmplMkmkcIbqTmEgJJUZmvpwvMhPQqEyq8YI0mo1kM/HurvXVlZ6mZ4JeZdOr5OUibngasTtiAOH8Gir9sVgsLJnz7lEIiscj6MkcqZpbTWhQW1jYkLyCKptqnHgUkwAkk5MTOLOmk3PF7/4qSeeuGlqalzTtM3N1Pj4FL54dHTm+PGbw+ESVOi5c3sqleDqas/f//0f/v3f/yGF9UQiKyjCto277rqPYgNsz/e+9+5YLC+5CPkHbhAHrXVcGocgBaAJs+/315hHSARmIDh5jFsNlpIKTEtdR7Njx6VKJbi+niZFp+RJPNfVkEJbCdccNcyEI2Kpiar4GdRQhpL9GmoO5pbUpdn0MB8V6aCcMqHbhPeXQqNLtaxeubINdDU9PYYQMRbLO45+yy3HTp06ePDgqWIxct99d8FxErto2iK4ZTLJ1dUeyF7SJZKsqanxPXvOgUrf9rZ7GUTCP+IAOawt1YzP3oCvySjlpBO3mCpmq1HKHGVOHr0CiURWILwQQULq9fSsAprJ2BtqDri0KbbVNRxNNSiB8DM4uCCjgWR52UKScwPkxO/wKLbqdCSJaKv5sBJ7ZSogp2xjo+vWWx/bt++M19tIJjM33HDymWcO+Xz17373fcAe/Cmd5kxfajS86A/9/trk5MSHP/xPwiy94x0/NE2LPOhP//RvALs1dUEfpsTjUSfR1HDtthq7QQpaKoWlQK/rDmiyU3VpGLZUg8Fm4leBJHwpWwVYcrnayMVYClvd6iRfikKLjalWA11dGzBdjqrycgJCoTJW5Tj61uhf+URLdZK21HRpKQMJkVQoRMfGpnm+o0efHBub/ru/+8jFizvvvPP+/v6lJ588qutOd/fa2Ng0mKfVcuOjKUdomtbbu1KtBkZHZ/btO+Pz1S9e3Hnzzcd5xM3N1NDQfDye0zTtypVtbXV5GT7X6hg3CU5DANpUgztYX7EkSEemA7XbLjhEXbVIYEaYINEYWykUorZtjI1NQ50aSvcQi+Vzubiu+nZdHeN85LTJl5qmBUf7X/HWsPE8cv4syzR5CI8an2Sogr1bXb0nVUkOL//Mzo4cPnxiYWHw9OkDjYa3p2d1586Lv/jFG2isGBubnpiY9Hiaa2vdaMfQM5H+aZo2OjqTyST37DnX27ty9OiT//APf4BQ5UMf+udSKXzkyFMuV/uuu+6jGo5e2lJzP4QjEZCTy8WJ4RC6IM66Gl/P29FDiYCHkEtjZaEQzWYTAG70Moz9IY1gNbdvv4zCTgKy4BzChqEmHIvE2LJMxsO7Oka8kjkJe7HF8xNCG2qOHayA3TFr3FRDq3U12wi0evbsXhltRY1lYGDxwoVdV1/9Yi4XP3bsltXVnmQy8x//8R56m1otdzyeKxSie/acu3Jl2+tf/8uNja6//dv/+Z3vvB+UdfXVLyI3M03r93//H+HQUV0Q33Bi+DFKApVKkIZIwKIQc5g87JsQNfhoaUGAHbPVPFTON3CAQYi7d5/H+3V3rxkdUzsbaqS6riT7jhLvsD54v/7+JTQMmD9FStHsCLdvEHCk71dXPQGCkxxVYpU6sKZp11zzAicxm01MTY0bakr+wMDi0lL/q1718OzsCBmybRsjI7PooliytbXuu+667+GHX0XjGGNjQ6Hyu9/9vW3bruAxaNkF4cHluZRKlY2h2i7ci6NK07ze+noaJwuFR3gnThC9xUdNTk4IswLs0TQtl4uTdrEO3d1rrKBLzU3X1AguTUkFCa0ShLn7Q/IDXUl0BaeKz9+6otVRA5tcrjYDXh0leBd6jpdMJjOGYZ86dRCtEj0h4XApGi1UKkFUzadPHyAXPXNm35495z74wW81Gt7e3pXx8SnDsFdXe77xjY92dW2cObOv1XIzkeOzn/18IFDdufPiTTc98ZnPfCGfj3Gu2Xgau1rqOlQM01YTCFuqO1NX42TgEk6evOGhh16NGndxcaBcDs3NDYsMh1Cxvp72+eowWvh3w7CvXNkGZkMgw2Qv0ua2koi7lF5fGrYko3QcneZOwftgJ0dpct1qmqKuO4aQc8Q6yPpotIBGjN2G9STzZmkikSIWUav50+n1VGozm01wIcO11z5/5sy+oaF52nRvu+3Rf/3X38lmE5OTExcv7jxy5KlyOZTLxYGtzOaOxfIrK724vtOnD8ABSEDy+epAJls1HTpKFq933P8pIA2xULUa2LXrwuHDJ1DnMbBofT3N8uGOIUI4EIaSLwwMLEKGQxvs2nXBpa4ZEOgphZe20q45aqguNiHdS5a63VYcjCAa/n8rqyZj5uPIOXFt/Lml2gXwyBznppoS+vTTN3JF4spK73vf++/33HP3gQOnbXV1zvp6enBw4dZbH0NcxhRLx9Gfe+66ZtOzbduV177211/4wmek5eh733s3ShOPGtAulSLhe9uq4cJSd/TY6s5LgGM8nkskskwJ6+tbvu22R9/+9h9FIsWGmuvNfuTzMVON0aRvJxwura+nuQWM+tLOnReFdJNwaKppqS7VW+dW/TZ4G+rVjqNzkgx1p52kY4KaDDg/RMv0G8VieVNNEu1kQ4UJIGHWdafR8O7Zcy6V2iSaveIVjz/yyO0uV3tlpRc03du78uSTRwOB6vDwXCKRHRhYfPzxV+zYcYkR7u9733dvuOHkLbcc+9a3Prix0fWOd/zwt37rP5mHR0KL7sNR2m5TDeYU4QU+QdSfQAb0ChSOBgcXjh59UjCSVEUMw3722et5L5+vHo/nuD4CYoOEmfCDNxNXbKhptJpqPJKTIWRlPJ5zqduuyMY7c2ZHiYW2tCqEBaZYYVZsbEtd3Gwrla5EG+zR5Wrv23fmwoVdxWLE42m++tUPPfrobYi30OlfurSDlGJgYHFkZLbVcl933XOnTh28fHm7ZZmveMXjfn9t+/bLeIxotPAP//AHgELeR7gHsmthACVlg56C6mmrSTmmGi2MbodcT/CfZMKNhjefj8mxdhw9l4uTn7c7Jh1A2+lKk6CrYcHAdEeJvbQOSaetrlDWO8aAdq6+pv639Y7i3BvqpngEfpI+iKHBvbTUfS9jY9PPPXed318LBKrp9Ho2m6BaTavUjh2XSqXwykrv6mrPM88cOnNmH22ePl/9mmteuPba53HWyWTm3/7ttynanDx5gwA+t7uFPI1Zk0AXDoQ4IuyabFxEidRzEInCgGJuno5hGLrunDp1kAgHCUb48as790zT2txMUZwRibkkX7aq+hpKbKqpJhcCskiA3KoBVlPzbzVRJKpJuSYtNVATtuoWN9XoEF3d7aEpwo8/SSSyFy/udKlbiM6e3Xvttc9HowXDsLH6UimcTq9DzRcK0bm54Vgsf+XKtpWV3tHRmTvvvJ8f/pu/+dN63fe+9333Ix/5O113BgcXgCWtlhtBlWHY3DrAZpCp6qr1R3Az2ROUHIvFzm1upmZmRhOJ7P333+n31xYXB8jsFhcHXKrTlnYowfJ01PLVwWAlFCpLYctSLfZohFpqxLD9X90WtujAoCmFOtXUZXjy71i2CU0m09/cHbdfedQlPkJBw1W1267+/qUzZ/Zdf/2zDAjYtevC+fO7oRygtK666qW1te5m08MIttHRmWPHbjEM++Mf/8rFizuByf/5n7/FrIivfOXjwNnz53dblpnPx6CbMFLOFk/IwFw8LyQKT3vu3J5CIer31zh/+PpCIZpIZJPJzPz80NzccH//kmlaqdQmd9wRSzRNC4dLzKjo6Vk9f353f/9SqRReWBgcGZklwss8CVtN2/Co8Xk4E6AO1IJLKRIlnZIY7lJKTraNv92aIyWd2VK3lBxHwgWpY6vlfte7vn/vvW8DqNDPnsvFibqQiKVSOJnMPPfcdSjgNE2bmxuuVgO7d5+HUYnHc/l8jJU9evTJ++67CzeI1UiBqbt7DULYURJPXYmuHdV/gjxk//6XMXkITsa46LoTCpURP58+fYC2AMsyT506aKiLJ3Xd6eraWFvrxgG4XO2BgcVMJrm+nr7hhpMwibq6NAZCwv6/rzARUk9TE51N0yL2ujrunzVUF7EEjK1DI2EWq5ECRWfEgx3ipB869Mz3v/8uaO7JyQn+9rbbHs1mE3SkZLMJ4OyVK9uaTU9f3zJlJuZoGoZdKETz+diXv/wJiKCPf/wrkpUwMrGhZotIgk1NotFxdXtD3ZbIBQPEW113CLl8TiKRpYcLgReH7Cc/eQvGi0ABebamGupoNLPVsE9R1YmczaXuCINawOql+ANSQBostRpN3TkiGLSt9IMtxtUIx8QLi/kgwLNVczdsOOErnV5nq+fmhtfWuicnJwC/S0v9w8NzuVz8xRev/sAHvv3889ceO3bL7bc/cvbs3qGh+f7+Je5DME3r2muff93rfvWBD3xbdDEcu6aaAYJluVztaLTA9HhkCjhGmDJHTbzlQzBqIiEX8ZB8kIc3m55cLi736Rhq+DGiYwoG5EB0jYnwhOlOhroXXZ7TVleekKyYqg1f5jdJAOiE/5iROJj/uqHYUgPj1ta6wRUi62DP0XBjgOPjU9PTY/iW8fGphYVBMrhSKXz27N5bb31s9+7zzz57fTq9HgxWHnzwNdde+/zmZurb3/4AIwZWVnrT6fU/+IN/4NM0VdKyLBPI2NW1AdLA+xPPheJnTrc0ZIk3F64GhF6pBOng5fKSRsP70EOv5q+IIgyphAqTW2sAEZZlUqLRVS3FrW5QaKsLFaQLTJAxSJJCnqS+wpUCmnXVz4Jk2nSp8Q+OaviDd5V91tU9um51x2QoVC4UosTkeDzHqDzkAsVihMar9fV0X9/yzp0XgS4vv7z/yJGnXnjhGtzCyMjsiy9evbmZok4JHSJW1u6YhmEY9vp6GqzN6kBLyOnWOy5pc7napKBUPPgVXTU2P/PMocHBBZS/IBysuK3uOWW0iK479boPktVWqlOpVgopKaBeyE6oF8GdYvgcFOxMdlRXBbsttSLmw9nnoTt/QWATr10qhRcXB4LByvJy37ZtVxKJLNGJi1Z9vvr8/NDFizvd7taZM/swDUocd955/+nTBzhhv/jFGzqPtkt10MmJlliHQJPlmJkZzWSStN9Io6tLNTeg3qWFRq7SkGLOiy9eTXMy8YxVRiWPzkW0l5TH+S3amFzqAmxx1BIgHaVuJpN1u1sAZZYYY5JkQldq9ZZqijGokJFeyfCflppTIIFb/gXXzKeUy6GLF3cypJvWbZ+vvrmZwigeeeR2ps74fPUDB04T2w8ePBWNFr7whc/I2EdbdYPK8aRo3la3KFBeR3cWi+Xn5oYXFwc2N1N0hgJsBCYahk0VkEDHXBzKfGA2JI7ttgtqKJ+P6Wr4JoXSVsudTq8LESBMn6OuLZWI3Zn98utsmDB3cpQNNR0HZ4N5IQIzPepyQI+nCUlJX7KpJP+2Uk2x7S11EwJzJEOh8ksvXVUqhfv6lgmVhmH7/bWJicmTJ28A1Hu9jZGRWS5uCgSqZ87sa7dd0pLIErM9GAvW4VFXWsJWQX/S+UQk1xQpD+4WZMkqe9R8QbozVlZ6hXjAg5mmJf4WLAsHR67nVk27rZabP3c6JpOID2mqaXeSjnGXoqauLjDV8ElbteiQUXLl9oMPvmaLZHe52lznhteDktvST6ssTEioaLTw6U//9fe+9+6HHnp1JFIERBcKURJ6n68+NTV+7bXPk8jMzw8dOHD6ueeu83obo6MzgUD1Xe/6fi4X/5d/+T1N0xoNLxsG/mMwJx9iq/vDSQ/hl9BdkYFvbqbov+SaWDqK+SgwBVMMmMeYy8VNpb1EZY1XJBhQsZFDxhtRyMxmE42GNxot2Kq93a0a/3RVpmb1AbXbt18GPkhJUaJUs+mhJvHww6967rnrthCqocYwcSKonfb3LzWbHlTmuALOUa3mTySyX/rSJz/5yS+9733ffeqpI7DN3B1CWg83sLAwuG/fmZmZ0XPn9jAcI5nM5HLxrq6Nr3/9j6+//tmPfeyrn//8Z03Vxk9uGQxWGIgqjhU2RngbSvaMsyTSCuGFgUvnOwuq687ExGQikX3Vqx5+5plDv/jFG6AKmmp8kltdrMt5gsfHDa6tdXOLdC4XZ96BprhhIJBw0VKWcRydLl1BDZ3+bWWl98KFXT/+8VsbDW8ikaVGbUSjhWi0AA4D2NCdi//FHk01kTYWy9955/3vfe+/T0+PHTt2Sy4Xh3REG+s4eiq16fE06cErFiPbtl0BF19//bPPP3/t1NR4oRAdH596/PFXNJuez37283hqEhGKgtDd0HbBYAWsQjVGxv1HIkVWH2UGOALUAEilaCywBGLgyJGnvv71P/70p/8amGipNhVyeBloVlfXFLKI4XCpv38pHC5RlqD9en09zZAbLntrqQss8eSslSALPpwLQR599Db0L7ruMGnOOHz4xOjoTE/PKqLJYjGSzSbm5oYRRBpK3edytUdGZr3exr/922+7XO13vvMHDz30ahlnAedTLEZ27boADnn44VeFw6Wnnjpyww0nt2+//JOfvIVB8Wi5XvvaX7da7m9846N/+qd/o+sOAN9xdOR/NDdTv4UMACCRwjAhjbXGNXE+cMGtllsAEh4D/95WQ5AGBxe+/OVP/MVf/LmhhuqWSmG5OB3HJWoMjiA6RmguogI3kc3PD62tda+s9AIK6OZsqmvFdVWtw+9PTY1/4xsfXVrq7+5ei0YLXEwRDFaMZDKzffvlHTsujY7ORCJF5t4I/rE7pi7SRWWa1i23HEMngtOYnR1BQgKRQjhZWem9dGnHO97xQ0Rk+XxsYGBxYGARkEfJsF73HTt2CwyBTM6Vr8bS8ZBgXFupazBzMWEp2ohkmqXn13U1Cw9lBjvX37/0zW/+7gc/+C0OHO6FtaPbO5XaxAkzfCEWy1O3SafXE4ksImJU9dgftATh2u5oV2q3XZlMcnJy4nvfe7fH0xwenqNS5FYXAG1N5BgdnRkYWOzrW2Z8JkFJ66icCdK66aYnZmZGf/nL1xP6GcWsadqdd97/lrf85OTJG9zuViq1yez+n/70zSMjs48+elsoVH7iiZtYU7pwf/zjt/7hH/79Sy9d9f/8P/8vHhwmjtSUk8eDYoa5XDyRyBJyLTUtBPDa7hjw2FJKfJeaDSMgsq16b3TVh/umN/3sa1/7k1rNf/78bvlbrk4ZHp6zbYMtNFVbJPFGRimm0+usJgMudd2RK6ZQ8PEMp04d/M///K1iMdLfv4RtcTnIFlVXLocwlpGR2YGBRWgWMCiQ31S93ljTG97wCwlBYGqPp/mtb31wZmb02LFb6IJPpTa3b7/88sv7b7nl2D333M0Q0LGx6eXlPrxKLJbfufPit7/9gbvuuu9733u34+gwH011uWMgUEX501Ii7Wi00NOzysU9ZHDRaIEr9aBym2omlqY0awK9RWAp1WOhIMfHp77+9T+GO9PUNGzLMqPRgqRdwiSTuIB3QVyor8BIkUhx//6XpW6K51lb6z558ob19TST+Q3DTiSy2JDPV08kssbaWnc+H6MAPTi4MDCwaKmhFpbSjBKdMLS5ueHdu88zzhzpgNvdgoDb2OiC87r//jtffPHqcLh04sThAwdOc5YZP7O62kONZWJi8pprXqjV/Bcu7PrzP/8Ll6vNUkIakyKQ4iOTRiEyMLA4OztCE8vmZoomABYITyU96fgEHIvo3Zrq5hatoyQyPDz3iU98GTWcrYr7fX3LhB/hMoVBc6v53RwIuZrQ42mOj0/hUeV5pqbGs9nE9u2XKed5vQ0SdU2NJDZOnTq4tNRfrQYYLQMLRkrN/ktPAL71gQfuOHHiMCwFnooZcCR+9D2TEO3cefHKlW20mct0Ocsyl5b6KXlHIsX77rvr85//7PbtlzkZgH1B2bw8sIRHZzo/91zJeWfVRLqhq1v7YLE6/xzVkK2EFLbqhDh69EmuiqxUgiBAUZpIAOd3Ee/gvttqCiJ2gxTDreacIPlmwH4ikYUTg7YhYYpGC5qmGfl8jOKi4+jkwJFIEQPX1WXHQCvWpVoN3H77I+TDfn9t374z4AdMANqyv3+p3XZxVVQgUEWgSqHD769durSDoNfTs2rbxj/+4+9TO4Ojt22jUgmyQKRUTAPlJl5xFKxCW3VFo5DExAwl4GiqAW0i+Rb1ruyTcNpf/OKnHEfP5eLkJTSyiTTGUX1zBEI+1q3uZCRyDA/PeTomVDqOvrg4cOXKNlo28fNebwMvKkINA9DCT+jqLk1oP/GnZBkeTxNyeHZ2RMrN09NjjmoIabdduE63GiM/OLiQSm0uLfV7vY1IpDgwsEiQ4MqaTCbJRSOWumLNcXSaUqHAmk0PF3hSZOf6kJbqrmor9bymZHGSYUl/gKU69Nodo3LbStXCOvJjHk/z0KFnLCUO76RmBWgZagCcrjvYCjlwT8/q9u2XGUolAQCiDMGLcMlku4GOi/W2RLi4SL2jwC/om0MqvYlvfvNPjx+/GT6AaRC6Um10dW3I8EPTtLq6NqrVwOOPv8Ltbq2s9BJUqfcWi5G1te5MJrm5mapWA241UoS6Cswil3Bpmra21u1WvYLxeI7ZTJ7/+84Lee2GGvbIybBUh4Wm2rWkMNJSN1zyY5qmffrTf41EAT+OmxZ9uaFus2upK5RJRKLRwr59Z5ig4+64DWx+fmh2dgRDYeiQ292iIUz4O7e7Zdi2wXx/NpNpT6ZSAjuqfdlRPZEbG10460ikSPYL0qhUgnfffQ99ppOTE5wbbjCirfXSpR3p9Dopgtvd2rv37IkThz/0oX++8877f/azN/3VX/2Zx9ME3bMflOO5KJgifm/viksNhMcdQTZI2kmagvuSxYVSxGDlP52O+S9Sp/Wra8KHh+doryD4i5bL6pjKzTY0Gt6JiclkMtOZcziOXqkEL13aIf8JiCJQUdTD/5TLIYNFZzPhaROJLF9J5uJSXa8E/eXlPnIQaB8SmVrN/z/+x//3rW998PLl7ZCxO3deRMyj6w7SK9KLPXvODQ3N84jvfe+/67pzww0nf/ObV372s593udqM5eOmZnEXzBzlIRvqyl/5W44sngReXTJHoW87OZmmGp3OKW91jG2wbeNTn/qipmkM5LPV/eSCCY2OmwNEq8AtWLbSUAn6XFnppSPVUOOK6dJBCGyr4UUGZAjmgx3B55CgwWNQ88LblEphmtZ11adp28aNNz79ox+9XdcdEHG1GrhyZRvhCLCEl3/66RsNwz506JnFxYGNja7jx292udqLiwN/9md/9b73fZdcN5tN4CulWAYF5FLKMhhpR11+aShRAumx+CJBL7ZS9sFtSPVcknxdqZ4syzxy5Kl224WuH29mKFG+S41bstRd4+Qr0iHhqAkFNM25VTuf0HaWGhWnaRpV1UolaOKJUH8Q91tKd68r4bw8tIz2AktpqsB//vxuloPbADVN4wIHW13dOTIyu7zcl8vF8/nYwsLg6OgMtNc3vvFRORy7dl0IBis33vj0U08dIatC2QA+5m0vXtwJU+tR40Rs1bUr/BpXWsgJsNQNIkKuNDsuldZUFx/BlkImQaXVcoupEQ/4HIEDvGCnN8ODra+n19a6JSYBzHDywrsI+7t1W5s0xsDoio7VUY0P5DiQw7gC9glfzGxV2za42mZ9PW1ZJqO0k8lMtRq4fHm74+ivetXD1GNPnz4wOzsyMjIbDpde85oHGS1XKoUzmeTDD7+KQcK1mp8rumWWg6a0afQ+MNYNV0APu666DzFwKQpqqnTcVuJcXTXXaR0dXvi08fEp5tax+lJXkQ221UWbLNfGRhcVU0M13mxsdAElSB0aDW82m1hZ6QUiUjiz1TXTWy1KEN+ampnS6exAhySWtZqfy1IkV/L7a/v3v8ylqFAcKP0I0S5Xu1IJplKbtZr/+uuffeihVx88eKpW8zNm79573/b+93+n0fDecssxsCYFW5erDWvf1bWhqQvSdd2huwYMh+tjP1hTkLX8T3QJEmOxJzIYsKnWoX1yVK3xf//v/4UYJ5tN8FcAGF21BfL58DF+f+3ll/efO7dnZaUXqyUAwOrTnywwl9UH9XHOmk3PFpK1OvrqSXPaSm8sAACY2NOzCmUEH2JZ5sWLO3nhUinMwqFRZOqypmnbtl2Znx+6fHl7X9/y3/7t/zx58ga0+cw1veWWYz/72ZvwOVSppMaLCxImgBkoCLA0VQrGNVlqMmpd3YjZUu0CkvESh1xKz6qrGWviytgwhq0tL/fNzw+hAUCwTTwjsInoGhJpZmaU9SUYUAQ1TSuXi1OqKxSiPCQRglAEzDPFENBLkXxKmBLrQPFpGPa5c3vITtfX0whsWCCUBNBBpVIY/RPCyhdeuAY698Ybnz5x4vD8/NCvf/3avXvP4nbQFwGrTNVUTcuxaVpEYGyHFLqnZ1UAPk/IpJVOJ0DQaqmRI6x+OFyCnJBtaCs1pmQSRFq6+7HcdHodWMxykySCIznucNEgt0bDi2ijVvNzWKmGUigVAsbnq1PYaTY9W6tMqORRuDncUYIATndbDS5jlKamadSwqOhaagSJLIquOxSZ223X2Nj04uLA6OiMy9U+ePAUGqnl5b69e8/+8pevv+aaFzRN29xMcT22MFzRaCESKWJ01ExWVnoHBhYN1aitq0l4nVpXdsJSV4O71A0iLtXYxfIhphOQY3dciuFytffsOec4OiJJWjzxjV51iXNX1wYZO47Xtg1y4FIpfPHizvX1NOWsQKDKVbtwQR5Ps9HwArEAQqVS2PSoC3QwJagbQ43wEmeK42NAks9XX1gYTKU2ucKXc5PJJLu6Niw1aYUCN+NeLl7c6fPVT506uGfPue7utbvvvieTSS4v983MjLpc7Zdf3k8/NDoJlxpKwXNz9h1Hf/LJo1xyQabqqHYU0nWP6nMWtw7MMFVTEc8pxBzOk5MESyHlP111TKZSm8TeurqE0VGKknR6fWhofnh4DkhN/3e97ltb656dHVld7alUgun0+vJyn2lajABud4iLW+omToc+4Z07L6JlY4Aq/y9CJU3dWs0LoP/B6kmaqCIBfqRMqGlaLJZfX09vbHTt2HGJUQVcvkPiDe7kmim5/BQUCIVHwZ207oknbvL56oODC8Q9t5p2hFngyl3qgg9dabwb6iKTthprqnU0fbY6xpm31MUAApxo6YE+g5iSiSLFYmR6emxycuLIkafgwxnCxhjY6ekxau4uNeZb07RqNcANUqa6yyyTSW6lDtdc80IkUgS8Q+HS5CY8BH+CuTHHhQAAq+N0XN9UKoW5zg6QUC6HgsFKKrU5NTUOdKtUgo89dmu77Tpw4DRvhRrFVPc/YKe9vSt+f40bGT2e5okTh2mWo1+X9wFu/jdqUxZRV40bUueCTxQwSm1ASB6BG5Kd/c7v/CuAAsLD769xEQtDbjQlj9CV3r/Z9DAZCfZQ0zRaVGgG5aPwLjLYhY8yajV/JFLs6VmNx3PCbrOxAhJ0JWckhoDA8F2Mm+afcLi0utrDumxupnbtukAcnpiYbKhrs8rl0KVLO7773fft2nXhwQdfgzkgyMBHU0NPpTbJlR577FbapoeH5zRVG8EaSN80RZhrarxdp5TcVLpwTXWXwDXhr1rqRl7BoJJFI4sqFKJ8MisQjRYYd8o10Ki1x8enajX/qVMH77nnbmIYr0npG2qdRJohOoVCFPW8ZZmhUNlcW+tmxKZ0VzWbHu7NcdQ9JS7V38Q1N6Lfl12BUAL401XBMCrEDW53i/HAy8t9ZFh33PHAj3709uuvf/app45weIVATqU2mRw8OTlx7tye3t6VG244SenVVh1UwsyQWJJImqpX3Vajgi01hdNSOjtOANiM+cocO0NNm3c6WlnwAfgNohpeV+q9tm3wOo8//opnnjlEB3U8nqvXfen0OsMus9kE5A1pI8IOl6u9sDCILs/c2Ojq61tmzkq97iPpsNSVNEQ8U11y5Xa35ueH5ueHQHgQy+zEwMAioWZ1tQeXEgqVY7F8oRCNRIrnz+9mmtDi4sChQ88Yhj0wsPjII7fbSnRkKHXt5mbq8uXt/MCRI0+xkaiGYWptpcrH4QiA0dXNT1rHHBMOBGQO/ISkCDR/GWoElcQPPrbZ9LzlLT/hjGJefCNu01YzFzRNe+qpI+fO7aFqDaEEfWsYNhpy2Ajp9fB4mouLA0gxLcs0/P4aKiB4VxKieDxHWVF4Rx7d623MzIwyncRxdLy8rjup1CaOm0I2vfBeb4N62cLC4I4dl8jOuCKnXA7t3n2ekwcXwoOCZXfvPr9379nR0RlOg0fNZWurrpKmaqdtqQ6GTvIcDgBzsZXiutPDcFbqHZcfiB6AUAHtQytnZxUB34s+vrt77bnnrvvlL19PSQrqArfW1bUBvba5meJelsHBBbAiON5Ul8PXav6tG7VBgdgFAFxT1JWj2tIoyLRa7j17zrU6ZiFhL5OTExBKe/acE2/W27uCJ+XGkWw2cfDgqVIpvLras76ejsdz0g/jdrfi8Vx//9Lg4MK2bVdkWKuuZhMIQSIcg6P6TwTkELeQ0dnqJgpdtWzYSpPSVr3/xDBKBe22S8rRmmqDzWSSTsfAVK+3wRQ5Td23TD7R3b0G7DEMm8s4ACkeNfqBgiDeH6eEVKDVchswaIVCNJeLU1ZOp9d37rxodlw8KlDv3Lk9mqbNzIx61RRd3i0YrKB7odICck2n1xcWBl/3ul8VCtFz5/ZMTEyurXWfOnUQlQpDRjVNk0QxnV4nypFDsdBudR2hpebBNNWMfkNdxKyr26jFe/C7ncVboXUli2arpLzeUrdAcTLAuLhpCp+UBQGXpHgohTgQADZGL8IqcrB8vjptQrYSaXF9b7vtgtfZImkpRcnt4nJXh7yhowQBDALAV1Bjg6eD/Gk2PU8/faPb3aKJbGmp/8CB0z5fPZtNGIY9MjLb37/k9TZmZ0fK5dChQ8/s2XMOx8JcGWaIkigJVnGri4s7tQg4GUvNCus8EPhGoY4hrnU1uUGIB8OwGSsE+JaKiBz9dtv1xjf+XPQWsjdCDgJscP08NoJqTdNQP7DE3BNYqQQRc1CaDYdLKOz+CyMziZxj3lBzdpsdc1m83sbZs3tFOO/1NtLp9b6+ZTBvMpmp1fxDQ/OzsyNdXRuQjm536wc/eOfrX/9L4GkuFz97dm8ymanXfceP33zq1MGuro2DB08xsEBqF/gToVwcNUJfV3OIW2pSf1tNcxdGS7CQpka8a+pOEfE8LjXdQeQLjurSppwpqv/9+18GcUonPgmBX11p3dOzitFkMsl63be+ngYKEtvQYOmqQ2R+fgjkSlTv7l6LxfL/P1hNqoPLlA8vAAAAAElFTkSuQmCC\n",
"text/html": [
""
],
"text/plain": [
"Image(mode=RGB shape=(128, 128, 3) type=float64)"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lena_gray.colorize('blue','yellow') #colorize between specified black and white colors"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"Cyan | Magenta | Yellow | blacK |
\n",
"\n",
" | | | |
\n",
" | | | |
\n",
"
\n"
],
"text/plain": [
"Table(len=2,titles=['Cyan', 'Magenta', 'Yellow', 'blacK'],data=[[Image(mode=F shape=(128, 128, 1) type=float64), Image(mode=F shape=(128, 128, 1) type=float64), Image(mode=F shape=(128, 128, 1) type=float64), Image(mode=F shape=(128, 128, 1) type=float64)], [Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64)]])"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"colors=['Cyan','Magenta','Yellow','blacK']\n",
"cmyk=lena.split('CMYK') # converts from RGB to CMYK under the hood\n",
"cmyk2=[im.colorize(col) for im,col in zip(cmyk,colors)] \n",
"Table([cmyk,cmyk2],titles=colors)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/html": [
""
],
"text/plain": [
"Image(mode=RGB shape=(128, 128, 3) type=float64)"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#rebuild color image from colorized CMYK planes\n",
"cmyk2[0]-(-cmyk2[1])-(-cmyk2[2])-(-cmyk2[3]) #what a strange syntax ..."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Palette and colors reduction\n",
"\n",
"optimal palette is computed automatically in Lab space from a k-means segmentation of a radom subset of pixels (see http://scikit-learn.org/stable/auto_examples/cluster/plot_color_quantization.html )"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
" "
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lenaP=lena.convert('P',colors=5) #image can be reduced to any number of colors\n",
"h(lenaP,lenaP.palette) # the optimal palette is computed automatically"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
" "
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#palette can also be explicitely specified\n",
"palette=Palette(['purple','peachpuff','indianred','brown','lightcoral'])\n",
"lenaP=lena.convert('P',colors=palette)\n",
"h(lenaP,lenaP.palette)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Dithering"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"nearest | random | floyd-steinberg | philips | sierra lite | stucki | Jarvis, Judice, and Ninke | Atkinson | Burkes |
\n",
"\n",
" | | | | | | | | |
\n",
" | | | | | | | | |
\n",
" | | | | | | | | |
\n",
"
\n"
],
"text/plain": [
"Table(len=3,titles=dict_values([nearest, random, floyd-steinberg, philips, sierra lite, stucki, Jarvis, Judice, and Ninke, Atkinson, Burkes]),data=[[Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64)], [Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64)], [Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64)]])"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Table([[lena.dither(method,n) for method in dithering] for n in (2,3,4)], titles=dithering.values())"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
" 1 bit dithering"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lena_dither=lena.dither() # applies automatically to RGB planes\n",
"h(lena_dither,'1 bit dithering')"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
" 2 bit dithering"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"h(lena.dither(n=4),'2 bit dithering')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Geometric Transforms"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
" "
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lena_fx=lena.flip()\n",
"lena_fy=lena.flip(False,True)\n",
"h(lena_fx,lena_fy)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAIAAAACACAIAAABMXPacAACLf0lEQVR4nCT69//v+VUQ+q61Xu1dPu3bd9/TSya9E2roQSkqHUGBECmCR9GjXlHxeCzHg9fDxcIVsMNDEMUgSAAhIY2QDCkzyZTMnpm9Z9dv/dT3+/2qa90f7vPveOKL/8ePfeqjN//7J07EaEyxbhoE71lagmUfIRrVapNK4kKElZLFkM4Cf907H/nGL3tAV+VsnsKQ2v2RUjVRDgyWEgeL2OfstBIpHNTExtMsRlvIuTKqZ9AgEXQjaShQqbISbBkSeyPWJ2gdsZAE0ZYFoClpDWgtz4EwSyWK/XK9gHEBEtdIXBVWjz86np3XCgIhEGoxiupd1i3AUhKQdahGRSJijeKVtgAFVCVQSCKCQgiQlpyJbIPCEJdlPfzjH3nvK2f64T20jZs1iKahIbR7EyDFyKB3QFKpdL/u+hDLMtZjQDtKYVifHs5zA4tlxISM2NTj0TjGISbYDAlCeOQALo8nu7MRVZOdV7/xQdNQ7mI0uMohxTIqpoulqZwxQiUjgHDJooaC09l4f6Tf+4EXfvaXnr175LiobOzRK13wXVHGWMigi0XORjgmCZKshk10E0TqE6LuGB0QFjFZWp8byYl1DS6hQrSCQopCkIhsKvICSbm5sqEywKgRrTIFEbwaFy5K2zEkTRZFTk4kDmtQBjRlylD6nFbIg0KrKGjIoHqlC5BX5IEHUQ65JwmgEJQVIFANqyhKQEUio9rJN79rmjGfrOKkqThg9rFo6gL3i4FEN/EUwyYv5lrpca2bVpeopSRXuf0rD1yYVG5v2jQ7WmlHEBeptsYp2q6UU3S0Nnd6OS1Cn/3E7Tv3Ft/0mll1fk9YCbnAnBRWrLMYVQAAfGLntJ1OtXKhjzvT2RMXdz978+Q//MpHDjemdns7e+7oiGOvQDspASVBpaDaA7HRjTgmnQeJXKkawUhFbISqQmXh2oQKC7hSxqUgASFqodYqSpoLVEzMPFFWowTlHFlm9oMnNOAcmYpEsQNWujqa97FvmSUVBwxZDGYlsUMEqlq2VREAASBgsoyA3DOSkGKgDJGJCgKwFCEGF0kVxRff8upK8unW7u3DBVilKz2aNRVmXdswDL1Q1cCswlah1USG65a0iORCsa8mzflz03OXttqtdlKPxxer1bJHC2JUHtsM5Z7QM0shFVYwn+8ezL75MW1zxk3HNBo2HVSM3vNs2tixVRASW4lozQD5dJOVMQ8cjDKOP/oHn79762QItDsxYTNfHa6AtChTxChZGACt10rV2SlsbCkbSKbkhByzb7KxmCIToiSAlMgFy7lxShHYRmtmQ66xpCMa4apKWnzRqTo3gAUGU9VVRUpnNk7HXqWyXKiU0NlMxihVFJ9g7It0oiqBothz6QkiICKBkAFUDEoASCtER1gQHEIkCKQtiqrOX/iKN23jOhwOcme+OZ3HvB5Gzu5NsNIQFvN+7X032Ni1kLdHDfiCbNAwd6mtzMiacQXnD7Z2LjZOtxceOA9FKqOqrLPGftWvbi1Ja8KmMtrct9/8ydfsaKOlX1M79gvSTQVlCJzMwTa1k7BJmFNFSmnsuhCHuL/nlgGe/MTNW3dKTlQCD0vczBGz4FhQRaFMkkVFXVBr0qbShq0oDC26AT2DJI0iJAzZEVgmOwBxD6UYaV2xUAShglKhJMOGiHLfIScyWjNV2SvljGHd1g2Vu/eGsI7MQQkoSaAK2YxRIKy1eM1aicEChExSVO6geGSvOHCICBHUWBMKJ6SaUGGNuh2/811XLlI/rAMnZMLFqpwMRSUc7dbttPKhZA/9fJWzVNlvzeraZr3xIYXgEwAZYybNeDo5v12bkbKXHrqws7M7mSiEpt+kVTdoPW5QMOQBknrk4b13AX4oNItrxzRzuYu20vXI9THZHAZr/ZAsalXplfcjxFt3NtNpe6bVM8+elObc1Zm2KpeN75JpqwmAFshYRJoZrXrQggCFEAuzdoBorBQZC1Y2DVFIATOZrJk0aqKiliAT9qAwAxCzL6gApHhW1iKQGTsRoxCgdGKqGF1VhuU9bCfOjplhhLCRLFA2BJr1lAxBisgIiZEIpCguzAmUUQAMFgWhGmM8YyFFIoFQxeaxy9/07eZDv/P8s3fKq7cFBPJqczvaMU62R6OmSqt5n8SU1aYIaeNHjdFO14Y8d2mDgKh0bTW3exMefAROB7VpVHu0Wdh4simU40AlmgJci+byhjcefIkJxUBY9UKYCZcbjzmkGAwOFUlfhFCNCFJlu9Xy7Ox0WHXHMXz8D2489fwZUluNt2Iwp7dTSYZ0JdiqsCDj2WRGYq5JEqsCiXMxUBhlSKQATSEqUoiwSBuDMFQCjIbIQTEE2GoFqIwYQdRWieaEgLqslbEEGws5Gjg+NeslJqmRvMhIYJDiSzxl3wkIKsVohCiXoaAUZGKBTAAZikLMTIqUYRYhYGtFKzMe3fearW/67kdaKi8fJWXYVs4qKYuui1krfe7C+MK5kdOAUoahH4TczFajSoujyjKo5eni7HSzOT4FZytXbU33m1G9c9/O7oXLo8rgB7/33eC9cmCUBZHaEDr9iU+88r6nTrmuqOTaNKouVjnJglavT+dobTV2ZRPXfXJO6doUxno2Vsvy6jdcevXrz82w7zwOIpNRPaqjKAUci5pqfyZmzIp0WAdVqUioUlFaihSISrUiSVgzgzIFAiqX0DhInCkzT4RWaV1WqQL0jSLrDGoGSH1sdO4Sl3VXCldapcfeMJ3skiIFOaFEIGawurLoxgLIaEFQcS/aoLYgwKCABAFBVQpSKUJIoIRygThPQxiWfPzZO7/4H586XcFbL9Vm6mIfK4utBjWeTNhn7SLG1SYc3u6gaie1HdVmGUrUo7xcRIqo6qpx9biulHKzcRCMm/5sHfD3vu3bAaFp2+JXjjS7tg5ZZu6znz769U/dharmzK0VoqKKYuO0pJhgkdO5nYqRVkedchOETT1u+01JbB+53H7JFz60u+M4coTiWlcRqrovviWXmAF8JtfGtCHJBUhYW5MHHKFyxIWtc3GZRaRSwADJIXqNwNpI5rNVysKkqTVc0AIIpJwpS1Da6t4PyauYopvUj79uXI9B0wqZVA5ZNwgAZGg0IzKiFHAAJkBBImESlUE7pQ1iDbqTQYMqmkFSlhiiPwvBnnz6xj//xWe7O/HxB6cH2yYvB1K4NR4pk6wU0qSQjuf9ppj1Iigt+7sT7xrfD+s+laHnylGB/asHI6txvFXroWOF7//u7weMBqxA8FU7FkqpNw6B8tPPzD/wzDpyUbZWOTYjY7IOEEk4ZgnCjTOtkVVHoaYqkYCPQEMnu+PRV3zJqx+932kYYtJFVW2VoHUECHlQpHM3gGtKJkEEpyAVwiSg2YHOnMRal3IQcsxSkRFMvgQBKaeDU0qSdNO6LoymeNCGFZdNBqGCevAsIW4E3Gj82KviaFyrCggyFGCJSllEEt2CrdFYxAiFAAySZEVKDGiDpJmJeAMkRBEKc2ClANhujo9f/PC1T3/o9p0zUaIPpjCbUChOMVfo2Y1GuBqCjaB8tzk7KzSpdq5ernh9soqnKQ+LnMKGUZ/fafYOxtMLV1FF/OD3fH/JAxhULMq41GxD723soFYNqKdeOv6tTx2Km3DYoDMNSF27FIUkSYgrNMZKXan1OjBrhakCwbbyfZZsX//Yw297287O1ASR1CertWzZSiKTAiGFTaSlijqrYqQSxahxkI3OpImEGMAQFUk16lQAESWuYe07UKQ1O8OFagLGIZJtS8llWAm6kjmoluNJLK1GuHQ/7hw0bkyoNHEC9AIOUsF6DK5Cp0EcCIoWyIhAaBgQgBooHrmINpgFSs9FERXJTCCbu3fnT1+/9sfHz70i21s1SQIBh2B0GQIVAa3B1g3nsFgOy+S2xq7Zb/suzNd5rapy8w7O6qlxexfb0WyCH3n3ezgPmEtEIF15cGqzYQe11RUCKHju+bNff/IQRCEVNXJUYDQzsIlFaxTofeLC+2NXkPsVsCsNqVDSKqI27vy4eedXv/7KxQNFx2ElUJJ2imYVxYINQSwABBQykFWqZCFhUGM2RQoSci5s3BCDRWREPDvhYtmWUo20QpWBNSaOVHI0ykrqJGPgJoEASEyyKZE3aWe/uXQ/jXe4Gm0RBpShgEHJjJp0Q6ZhOyVVRGkpgUgDalGGJHIG5B7ISvSkDJbM7JQKJa5CwLTh/uXr956+99ILaHGoXGORA7KtRn51tjiVPHK2bU9u3e2j3j7XTifNxjVxvj47OWmMWRVuTTPdHeHvf9f3GiwIKZRsmzYWpfOgcy4ErLRCW3R6+dryA589XRWqdMPcKUONIgcmqIKIfsOZcGdsOfbrPidlZ21DNgwnSbXboPA1Dxy84U3bO42WDJJCtjXORgaDUEO5Fw0QC0lCRYksCYDVIMHoWMDlZEGCdiqGuBlYeaTGOGK2KQ3a2MgeAJEcUuE8QBHIkGPGxJykRfZlE7RO+9PR5P56tIeVFlCKKIMEQEPsoGnFtmAYVKXJCKIQEjKkAEKSPDCW0itwbBpNIiKocomJZPDrzeravcXnTk5uZmsMFfGcQg+9M0c3Fr0YY4PodrPqZuOm2plpp+8d3fOnJSC3zupqhB/4nj+HaUhqm6RTFsIKqSIBXWmfyJbTZcSm3lb3Tua//pFV1oApi7INJjLaKYviBWjoM5NSXJrZKIYuxcoYqGyJpZxt8nqIj+xsv+P19z32+LSuVBKICdlANakRsxiWCMoYYmZEU5VYtMmRpZE2lxAYSDMO61IEFUVVa+VGhOuUlcmhENBQFe6RjETOWskgsbLJr9DUWKAE76MUxBzjwVa1fW5Uj3w1I61qMmtUlXCv1A64ka5BzARNA5AAKzGMoiBuZFhAHiQrKKjGU4Ao2kIRLBvgWniRupP+1jD/7J3lLUmsy9BHZVYD3z3xdw+Xk90ZCq+6fLA/Gu1O2anjw6E7PhrtTqxt8X99zw+FPDQqYEGrddKkyyZwhYUhl44pxeiUHjU6Q4Fu80/fv2xRgSOKgYxMx9NuvWpcE/qNBwWinUOOg65GXeZKIgkbpddZrmxv7+yff/Cx2QMHYw1DEio5iqN6YlBXEKN2JWbRakTcJ9Mov5TWFp+VwSwmL4dVwrY21aghTdlLoaDCUEA06txHFJJKMeqUgjACY8kiIBGVDNlaGVY9ivKonfLO1OOdujasbSrQNJO10sbaVrcKa4Ocqd1WRpFSokBpkpLFd8JRaSc0EhThogyBMIIDGMRHHk42dzbD3cVwq/frvlvkW0fp5UN/ks2sIVSYh9Ro154b24oOuywgDVb4O9/3bpUxl6FOKTStSzlTgRBTQcq8AqaCovit3/mmi0/swHR/8YmPv+d7PuzGbVoPmH3dYDMZl1wkI1vioXhEM3I6pjJ0na53rBRAFUpytnJTSsPl3d03fMH95w8MgM89FU7aKNoaI4qirtAYMCkj3CXUthihBMyx3wgjuBoUGkQuBQpnTIEkMVfKGCKfkpIsYt3guyzWakTfsTaQXZeHSmMftYOYSk6EIqxLyWiL75UiTJGlQuRNFEYSWztbDnbt+cems0mrnHBYiZpoS1obGlVkHEgCMiysBJCTSMZUYhwkrrlb9UfL5aeXN19Yf/JavrkJZKrdLUvCFOLWrFXbW2cbXpwt8f1/9tsUSK9bElOE9dCjLlTKepCSODK/5p07D3zho9WFq2CsgEbBzR9+8C/95U93vre7Y7671E5ZZ6gl3UsUUUhgKu83tjbchy5w3RjiyOSKNWm10qa5//LVRy5tPfxIPdrSEP3ggZlUbd2W1sBMrLPE2kpOBCQK8wa9z6QiqtaOpQTg0GsRzAK2Z70HYQ2gUTxnEzMrWw25EKOh0vukNaZo0GZRbZGii+cIYEHQl0GYLBePoHPWpNMQoCgpMRQ15hJT0ChBid4cn23m3fakfvtrzdZrz4/3KnStGU/JKkTFpBURIiKEUpBkLUM/rFbhzo2jZ/xv/PLda5HGUs6fmzqISTez1rDbvXdyCz/w7d+KGkqkVIhIDcI5FISc0F14TL32qx91+7tqNGNQWBLmoLKB4xvP/Orn/uV/Oz7SrHtWHItA3ai20sMQxYoybep96otpKfcD6iZids5QH+up9j1FVe/OJhXyEw+cv/zY3m7tQ5ScEZA1UnXgqLbEzKbitJZSNhtRqWK1VrUjhYAJI5Lu2U8IGbgDMZlFTdq8kRAGozADqcpGXzh7BNBKVOakCFlSRFDEUBAic004sFRaSlFtgsQcfQRV2eRLlAiDZMSCdn3jZhU3GqCdVdsqu93JwcP1/qte62oFpECtkRUgitJsna6RiiIqPJyWfnPvMy/8l184vXe6nk0n+w5BKe10BgpDxPd9z/fozFyyKrnPGAqWMDQtvv6737B/dV+NZ0JWJDATJgWHN+afutmfBmdsSuk3f+Pm+292riLUMKx9Q7Qzrvou0qiWsZGjk4Iu5cHZaRQfh8DFGGu0ZQgxQZUqmuDUjfCNj5176OGdWe2BpgUSDkPRSKORmZGkDBL6NRNqrcA2kDMyAgFCHBAIMUExqTQoPSqLcQhqIuBRYyqosmecZGBNsWQmA9lblE5bI8yZ0aDkzKQAOSWteeCs0bh2XcYia52SLzlFFMjx7uG44ks7lcgaAHSt6sbtPfrI6PxMbY+FfekGVVTh+ermsbidZsfZyZZCUQpyCLc+ePPXfvFJUdORzue2KtAQuVmdnOBvf9d3p1IwcKqsCqGL+XV/4uDyqx+o93eZtkR6EJFIuH5l88rx0R/NgZLVLSIq7QzG65+9/XMfma+6UCzaXKzTWpMpwJoM6OQiBSi2TkOPAEUgAllTwXrRWiejUfQho06FRrV5/IG9177qwu4+Ke/XPp/MvbLV9ky7rSliT2QMRKkNFBA0kHoRZq5J1lysIJRSFJo+RaeRUDEISMlqFnmtAht0A6LBkilTEmUFIxRUBbmwwZSoyTqoQAhECVwphTkryiEIKpLoj28sYIi7dai3KyE9rWNM9f6FrYO3XGj2z4tWIB1SjYs7x5/69J3nva0rV8vk4YvNzq51m9zRZ3/r2Q99Gkal2z0/2quwUiWx4K++67ugbaU/DWgef3X98Ffc3+ztYDNlaqWspChc341Lf/zRW6u7gzFIGjWitkTKgXKVGrrT7j/8xr1nV0NKPGkNMwnlRlRgYlsaXYVlFwhRsHl4wjc6MCalISSwBmeXLuR79xLqRZ8ZbOPosccvPHppPNtulc6dZ+k3BlV7aTYdixmTQAu5LxGFs4IiiURAikRwhD1IxcKR0ShOWWklJBxZAJIpGpTLMiTPurHIBTWHIQM4UI4gZ40laa1WmlWPpohCyVmKsHKalsf+9M71bg2NMe3OyG1ZJ4ryxibcmtnzr9tvD2rVWBIMdw9vPnkt6wn0Se9Nm0mxvIBSb7/mHIh6+r995pMvNFtaJhO8OhI10viLX/OtnNP+5cmrvurq3kMHemxEG06ARSTF0i/mn729uD7w2pNRRoNgq1JP1oJCFNJcWZW4HV3/5Od//v0310qDKKO0CEqOSmsUBSYJK20r3qyATHG50cbH5IW1aWpJ4L2zVTbCerJc+VFV703N/Ve3Ll8Zm3FlZFOCA4F6MqpnyilgQyYFNCQZCidJrIgiI3AmwBQVOKWUySDsO8QCNFKauQwFFLNOBZRyEDaSgjG2VALJAMaUDWqrEDyxImFpYxhIK/Zpvuz627c6L6PRVrVTgZ06XAEzpCDO2q63rNpGK84kUbdSVXbIHevJ5bedH+1UCgcu42oyOn7+7od/9VlaJ63VOQ2Tyw1+6u//1dGYzr1lq5rsIGpBYTaQ+rxZr54/nT9zl/UEclRlRWQUS67GJnWgFZdaqUgFNQvayuqw8fp/fOj2Rz5/xKSycSV5pWehdHUK4kxVNWl11rgmSlJOK3SWc/AcORcMulDd1iblpDLrdhC3ZZWxdOni7MGr062L0ypvUsaQ1aisZLZTWWxmxDEhFinMqUKNMScFzKAygKGKpQM2wFlTHZEBFKc1omXgXIgMiDgi4RQjowBXlRqykKtMYabARScQxla6Zbh99uIrxxNrxxcaavaszr40zvbCHJOAH8RYI0lX1pQ4MqmpSE0bXXH/kr/6NQ/UpvNznYS725sXP3xzk+pZHZTStdE4PPkvyDRKJUBiBoi59Ifxnr/z8TmkNQCRsiVHVmy4JupjaRzpIlFTJTwotqg8gHNEaBswfOe5a//8f3VHGerZ6Nu/9x0G/M0PfPJ/fT5B5brTMxWia/Vk92I6vK3GpGiUV8tiiy0mFNEQG9eABBAw9cFqeWpnW4rh4oG98ti5SzvVbJQjl9zxJiSy03EFbtS2bSwJxOjkI1kdBzFYCEyxDtMaQAMwWcgDJumMMiVboFIQrYEYHZqcktYQoEYOpI0pEALUiohSZFRhEY5eOeH1QI2rWq3Ho0pjtqyVjRsAM5QApG1BiKJa6Y3BtiYnMmh78zPPPP3ZPIJAzl7arbOog3NOFQGFDfipRSxP/xsAYvAlKxg2w/Hp/HNL3zGHorEQJ5ACKKUoQkQuiIZJidK2MBuyYWA3kj6bChG0MCPxmuzWd3z5+NxDlGOJSRBL2gAlJj66537uu3/i2rpi39ekwaCCooWZAYtmYGswCSkCzrGtqii5iI5ZSaHZyF65NHn41RdnYzfSPESfMxrFpJp2xxjYiNXKKUkCviSNqA0PUbBoqkA2LA5Ax0DOpGI1lTIkUmQ4BqhYZUWmsDIGlAejeO3ZqqQE/OlSNneP5Wwx2m3t1p4ZoSStCUFlwTrHQSQkIIiWpJOKRPRo5BKN+zs3PvnHt5+6dpxJPTxrH7xvazzSkxFXBZSDKkrTKPSf/AWilBOks+X6peP+xUU2TiUUp0tKughCLEIUvZAC0IWTIkWYld4iHLIkXZgLIFcKOrZVyan53j/ntvZc6TdrT65ByQLWWRQkCPOSJePmlRv+7737ZzENuiCUYTYaY0lCCliIMEtKRVkjnNhIabbbNNhVTiSKyJ47P7l6Yfvg/nPbtKqrlAuxqbKPtcnFTkbbWVgjC6JGEOCoIInyYZiIyUQV+6QVdyUrVZmy9jQxQMgeyBZjTRqy1kJOMOaEJZr10eHqdAMh1nuzaUNRO2NR2zqEnqTOySMlRB1K0NUoS7FcxKpS8OYzN5568vqdNcysPb+LWwfT3dl4OjaVQTX4kYXxuMbNR39awmpzKyw/P+cCihQQchnQVZCBSsmbHgwAtJSSICvWWseQFFWshwhI4FoVN8zIppXQq7BJf+rP7j52ASKUYdXHXDvHaqLzJosgQd6cxmVmv9h59HJwk/f+4E+894/7Wd0Qo7GlchMfOoVDyi76oaomgCVR0Rm1SqhUKjJEB0a7UvZ3phcuT65eGu/vOFWXtAYu3JfilBtP0VirxmQOZuX4lAcWKIItl0BSEhsi5JxQE5BApEJRKQagjBPmTJiSjKIE6Pz8uCsbr2OanN9m12irkQYoiQuC1VBAKEtkZThJhRK0mrCkGFYvPHvy7OduZK6nFpqddqS1G7na2sm2rVRB5qohffKBFyLUUhgJjEAppCAgFpdBiAugjCY0zLkk1BYwSRlSNkYpzBHMVNEmcxHSCY3mCNZkcHsXqv50U2/VWVROJaWBHQshCHLKRPXhB97Xnn/g6MmP7D5+6dv+P3/764b+f3/X/y2l5AyIHeasSClbRs2si0H5DAWySKoNdkM9cfXU4aZky/cO7968dfJJRzu70wsH43P3be+NZGKVh7LYQFs6XNR4d95sT8iSTjkpB2qAqF0lOQk4AVCSshLPbqpkSBlq2SzKuKqrMnhLEDzZ3K9FV5VlzUBRU2IsTIQAhkUUSYpikEShSjlRlkhWlwWWwbemFpHttq5rqBsSXZNVnNDbmny/WLMurFTZiJSCNROQAiUlU82mcHAEyZVOqrosB1QoGCiXYmuTF1ys6MhkkQQGqTBohKR1h9Nkx8trLzWzR4xOTVX8atCqFKxymKeuyO0b49c/cvf3n7n8jsc++d4P3n93dfVtD/2r3/0rP/BV/9SJ9FmQMzpXPBTna6VwZ1z56MWV0IvdKiGEbo1KQ0jOSTWWEoZ7R/7e6al95tbFHZy2O+evNvsH+2JYg+JM+e46SALjnDupxoqNMESFlWIAFcVayEWlQRCULuLKOHRFVONS7BlSKAgt+HpUI5B2FoGoeN1QP2ThXHPJdlzywMpBDNrYRKqCOA+B+p5Qn9tReto0kZWqudJO0lAaOVkLKYkLDZqQdYZKQ47gDKyLdSg15KCpZ2BxOmcNY4TBC9oya6nvoLoAOGD2SDX0PeuWnM+JU7Tp6N6dW+srD89eOaEr2zblrKomZTGuKD1BE1ahxMXq0pc9fPjCupH89O9/YnHj7LF3PvKPf+Uv/vVv/Gc0BFMTDeJaTkW1NUlboxRrVBm1vB7WKQMhYJaKiJXvoiVd16hBGzXc69zNk7tPv1iEnr24v3X/fnPx/oPtKepmpGlwvM7zInqWAAB6W1HGVqm5cC0mKauyjEpaF4RiULMDHFgZvxyayVRR1G1V8oAETFxitFiZSlEmWxBUHUMHkJDRauGgey+pcnvjrCo3QsU1gAQipuKhZMGh0FaIFl/6ez/MqnAh5EBJo26BBJUtZdAqojrHssK+L5BzEgWa+h6MI6mEOhAH4pWdCGJOOa+Hzbp75c7mD26nv/JLPyb9plNbu1Mbh8wJChayGkJS9Wj9uY8vb8fplYPl4fEf/toHt6y79Ja3vOYrL6XJ7Ee++u83Yo3SbW3JxBzBtJWYwkEqOxn6s6odl5RTWc8X0Mxq8DGzVLNRnPdM2SqazKpVt+DeDjETSgVaFD36wOT8uenlfd3sn6/Jc2GSqNEnNSWRoqHQRHiQbYeJIEWaaEjqdJFXN075aF3ff+AU2FFDmoFtclinJRcjpkLMyRcSLJCyKpKbalL8Ubz94r3bL8/bHdOYxrWKRBXxWUziIMoOQ5bklRvhi3/vh1XOUlUqLoqp2E71EJFzMWAEIoMlj4VSgow29anmyKBRKUIQxTpzVKOyGUIx904Xx7dOnnzx7Po68NbOv/qff+vO7//e3he/yxCnbsUsRBYdyiCCnaqnd3774/WF7Zf+4APHz2+ardGb/+RbZlsFnnjkPV/6UzwMo9bWCtvZKK367MTAiDB5kNF0JIFtJSUgQ+aSVqukAMz2pDtdlkqbRF3vnQZnCVSpbL0umL3v+sxg9yp5w2NbV1/10N44V7ridNZMGDZASIRDamyBnVUoxhXGaUyyOF1rf6ane7Utud2qIBVdF2SbFiIao6YJlC53qBylXKyWodDs9PTs8PqN+TFv79iJMUqhdna1XAaNPhILFe9jyjs7j+OLP/l9YkBFjSmSHQNoglWWFgVEaeGoXeaki4dcMgbPPmI7UpQNKSDtvQnrsFiv50fDtcXw8iunZ5GUkSHTa77s7X/h//rmF9//9P1f/DqOq+CBSgK0gEQipABtOXvqszDvfuc/f3RqcP+hh9/w5qmb7dtHDn7g635aC7rGwpAVsjhnFAmiIW1INn3SVm+NTIcKC2NICYrPSRdIvri2GlLc3mpOjg5DMj3DuGlYIirdAB7HOLbNfq0euHp+e6ZNJQejdUvYjqxM97DeVwZEVqIdi5Ic47I/PN2gYCpJjXe2pwRARWmIA7pa0iCpg6oGPwQ1rhqK68Sk7r7wyq1n75JtdprKbtUZQzgLEYVFOiR/2E1m9Rd9y9defdOjmrKj1Es1FnKgBQLH2qkYRAhMJJbiLZesybGUAkhtoxVINY2bbkg6rPzi5PSlbD7/8undZYwJmlrzEAzQH37wE6/98Ne+9a0P3P3s3XOP71JZi1KSI7EuVFBXWGj7dW8BUG+89twzz/Sro+NhPRHs8dbJT/70l//Dv/qHIUtJSVdO+eQqqyud0ATpppemm8za1v3xIZDSFifV+MJ0slgdzWozBGjr/aO7t1vljELozUOXtkaT6uHXXGld0sa5aTOsxcIQF8uTxfzQb9ut/QvbO2C8aN3uNSq4pJwjJ+mw2T9/vr1h1kuxY/Ap9pGbXT67E2FE3YrIF7Rut9K1BU956PRke3OySYXZWFcpW+XlxvuuUNwAqHd8+5+49IX3N1UinkhWgIAv/t0f0CJFVUolEIBimaMaS4kjCAJqAKwx5SIiJWtWXOkcqHR96tPxnc2t5eqF66tXcrtJgwbQOSrjFNiUNivhlTE//d7/09x61ly4r20kJEUpFSHSpEgXQGuQNGw+/+Rv/syHxhAffPObHr2cadq6rfEH/uvv/pf/mSKKskl5dLUtWrRIDkxNq1KflK04Xby8Hfp4/r4HN/3Kp9hkmI0sIjQXty8+dmG77sOKI2u6+0rndrYvnlONWGVFr4dV2Cy8v7eaq9HhjVsnR2cKtlerdV/S/PBMuQnEAlarms+NbaV12+jp/vT8g+PLo9H46khK6o7O6sxMRjbzHgJLlVVDxor4o1snN5858VANm81D9597y49/x/5WIDWBEESPhCAVRBYpGl/6yR+BXIzLkjVWM8ANShZl2buCoEEg9zGx4lgmLfSEoYgvm008Xa5uXN9cn/fztQo4mCLKaGutKgXNKEof1v0Kjdqa/NRv/vX5rdv17nncbCIzCrJYgqI0Cmmtipb86z/+MwJ2Ohl9yTsvYqNJ29HjD/3rH//l0g1P3ymZShqNpqjOyTC7eMB9vPTGKxcnLuRhHVxzad+CaV3CKxen05EJWcFmON2QaNZQNMTTTenT8enyZN7devn4hefu9Iu+oxpZWpUjJKUbOyJmGBueUL2I/V7b7J4b6ZFe3zmz1nllS/DZp+PTfs3NoBBjUjGMVdAj9frLs8uPXpmOV6hR5qlpqmqC6vG3br/xidp6SAhQS6aiMgBzVBkzikLK4gVf+ol3k1YAxZgWgNHkzEniBGouXKkcU0FdCnAOWJMPwJi4xKVfH/V3V+uBYNyOiigzzLVzRSMlKly0wV44Rl70+Mif+aZXvVGtb+atR/bDYs7NhJgAGLRVoAUiYHXn9/7L07/9Ckf5um96QLVThmLGu/2de8fd2E2rwEnNpuC2KxOo9KCmbmSXS/ZHtxMp3nC37g5fOlqsNuv5OpY89KXvVzEpSrTso27rTeh0iYhJqH7kYn3rqLOTscn9MMBWg9tb1ezqheBPHWq/CAZTNR71WZwgtjgS50NaLddhAWWsQVcU1vfWDJCXqy5ETgUyVF6CoP6Kq1vf9jM/vn+BSSoSLZiKaJQeiitADEJQGLD4DQByAU1GM9WUIqqcoCJiKE2xAB6AJCdUUBcYCrhSgMRlzAUiKNPO9GNbWxlY0wgtGWwKZRSUAogIqKUMqeTVol9/9LfkS35Y3EtDEDfbX29YU0IWQ5mFGRUZuviub/z4b//0dKtemcsu9rfCBXW2WfcHMJvmk7O22ZYF5Xj6wV/77VEY+SxbD1x4+fpNcsqogtbOtncrh11mqUFWTJQnlQ46eeQdxRn91ihv7czuHPUG8/xkszezSuNobPzUqIx3X1ncvdPrkd0eIXlY2eTWUk3NwBKWamiBsSitYSycs6lEo9rLcjzvnaoSJaf4f/s73/Kqr7ivrjUlykWV3AChlMiiBFNhQ4IsAsh58BmJUHGO0Xt88Sf/cuGojaM6G9HCkMsIoMuEmDJqBwXLEEC0FEbyUiBHIciCxaoJSkSVKSshKKOpyxyErQEeerBV4qi6Mx8p7z9x8ZseXF47cvc9lnxIy6U2NTgipQUNESPT/NrHnn0S7aRSiV/+7LXZ+avVtBaEu596+vr1k+29vbPlvZMlFb9MhjAikzKGh82glSHOjNSOaqor7NbbEzXMV9E2UwJP0GizPTVkTdz0J2cBNDUHE449+1RXNaVUb7cmsyIS5aqtnby4XlLqgi0527bBwtlaHsI6ATB7NP5wvmLJQF/+1kt/+h9/26iqMLecI4MqEQESogYBgFIkgWjmAkWkRCGUDDz0WDkegnDSBSulkXCtvAHMIKLbijtrKTM5yJh9h2C4JGQBEUrKAJBTZJUCQK45JqjZCCoMjOK0xrDCaqSYDQWe7ZsSw+q55dGjPmc53dQjG/M6C2FxUjGpwLm4Ubv/qrf/yr/99xd2z4+nxo3q0ZXJB37pt3bambZkFTz33Oc3IWFVqZhUdAY2lVX3X7hy56Xr3JrkiST3ktPt22AqjZpppIeAuw0fDesRxjMRiY2W0UQ5hDGl0d54OF17yWzh+O5qW2cv2HvcPe7AKbLagG2niAF6BWlTpE+GVCpABmcVP3B5790/+92N3gZQ4qGkDEpzAUIQYCgsmAQcFBFIUgoBcYGSBbwvXMp8gRopeXz5b/1QsmOhwRGjnWqdxWvRyD7lzGKd+JA3UQFkgyolrUGjiLEKHUNCJk2BJUPSYrUGABDPZO0gyRmDAkFCKWWTzbT5M98wrE9B7WPycShYKVKECIia/C2kc6vN3V/6+x94/O2v9uvjzZ1+uVndOrsznOkQE1mcDfH81BxsT4bOvzSEt1yoO+HFYM42m8FYOV1apyXl8awitn5gGCMFvtGVkotWLWBSGNpZ67sMrj43q4TzZjNUo6qbb0gpK91Oa6SCyo6b1gGLHo1yVzKvherVYqFn02c+e5eq8bf97e//si/ZVWQhSipRQHISJQAMDICURDRIZtYAUeKQ2SEnKbkk5rySQpABEQR6XazYsihmS9ALJY6aqUgEYBaQ0nnRVpQEUDUhGWbCrK2BnmyGVFihEEFxYIWRhCVT1jkDaHDo2RrsWRWsxtIN86cOlTuV/Wlr82CVSZEBEBuiXPR5ZamxV8Jw+On3rV/9hY/mxMvToyrh/gzOGTNtLBY5P5mMp86N964cHvVBnc/8zN0TyDHv7FkfW4f3zcZVnUbK6clE57Dp8wOn/l7ge/N0uyCh7r3EpFSJnYghmExGJ6ebulLn9vQLL8gG1E7B+QrCjXuMls2ibuum0ot+GZaeFhi1/KWf+77XXTqAvmTZFCEBA6pgHgBREDkLFieSJYPAHHrIuggVSKoEj7wWMbg+Qz3LQ6e54It//wfROECtqC+dBkJSrhQnYZmZMrcIkTiiOFSDyqSUkEHCROwZx4QpQ2UwCUwydJAzKYewEWxLKWArGOaQgqLUvear1eXztsLlvW5yboIhpn4j1qq6ViVLDpm0LhJ482v/4DfPTpZY4PxeuVJgWqlJa7cvHLjLYzWe1hcfUDWfPv/sr/7CHz3xqvO/+TsvdFIuTmxVN/3p6tyDk6tTO3HT6aiGMqdqnENkovVyc0TVp547vnYSbWu1qoAMwsApoyLxodIEoQPVmDoVxoMdd7yQHDibYlWbHJ7cWWRLf+Xnf/wL758IJxaUrECj5AKKJSYGiwUEQxGQzDH3GrWkUMRQSdBnTgVykdrzKoJqMS05G03NWHLPuUWfpEDhQUQxaAmVlASyYhHFmW2PwXBMWVtHXVYN8lQwpijKbJJykM9AK/EeVYaYPCRUvcAS+03+rvdsTSIOjT+bd2mYmE045emu8feO1WgvgZAAK6NkSGIqNR2r26aq9qvmTa+/MJlN9dbEnmtpMlV1ZW2TwVDx248/Npp90h+tRMmbX3PfW7/+a5r12ebaZ/7HB248Np3VZmYw6voCl3U9nnAIzd5sv/BDbz9/7KsPfeb6i10wGowibhvuBxS9JtSgitKXJtZHPLzb9QHHW7Xm1DOXTqOmb/4LP/COyyP2AZGIPYgIKMhckgVE5MglcEKAzFzICyNLBs4rwCQ5lIQqC0SGLuBYlaVCA/jS3/1R4Spz5F6gHYX1XKKBEBEzJ2BtIpId1jiqYIiRG6t6xSLJqEmVggcB8WuuW5MDppIQUoGcNh20Oclwejb68z/4hi/Y811ZLQZj8PSlu1dfe//wyotq76DikyGZDMagFq2EC2AmVVGef+oXPvq2d76qurhNBICt3aoVscgITIbEQMw+vvRbv3P9WvfBD79w6b6r9zarr3r3ew6mp3/0Cx987dXs7FjXEx0WiG0xPnt2jY3RSyjCkWu1WvPv/PGdZ3uxMYsBKHlcjcp6yGMxRNNWD15Gk7rSNF9uWKDLbef8v/13PyRpkKIAAYtiYkAFsRQNzIqZhQvmmAoiFcleOEsqEiOGCAi8BOVMGTxogrJBbBgAn/nffxSkZE/J+2VHK9/reqZij6AqKiVmIQyFLDHlTUEnKRWjUwAipUnWkuogg1I8bAREBJd96YcSJaW6+baf/9GR3c0+hOVROF1wPc7rPhz19z/B3UZV40nXB9KWtUNOgE6456KtpbJYz+qpaQz3PdVONS0gk5DkKCgCIH6Z54uP/IdPfPylw+OTvqpH5/e2vvQ73jn/8B9e2a2UtVojIUtVUxEojqUjyLyJhVJpznF/xFR3qf/wJ25/4jCZAgGTKkVXdYm9thaNggS1UwwleDPU+S/9k+9//QGjMAsLJu4TCBQkFkLWrBTnwAWReukACCQNsgloNUlOfZYhGEXspSBC9kiaCEtOOm5Wyft1p097gMIGOXYLY9hm3hjnsh/QavE9MugG+2VvZrhcjZRscBxD12pcFgDfea18GLpVWS346oPbb/uHP7x/ZSyljZs+dZ1wZXbOl9CzrdxOOpqL5KIqBVJEW8VZG8FSUiY0mvslNRMfmAjR1JCDDD3VbYEkmsQHxCKsTDV7/de+yv3B8IvvzwPIoxcni5t+azYyFsz2DsczvXUeY/bgK1Y+WI0GgZAM+jWPRpArC/yuL3r0q0iefP76+z55WlIQghyZNco6KdcWV1eYpeZJ1b72nObQF0IVYgGCophz4kFAQ16BsqJAAokk6ViMlyVjZcs6Q+ogJzQ70S8lDMo4KQV9LKohVenTQ9Un9j5YS01jfWKlBq2cMhp5g6O2DZuitgiH3PdctdO0IsdFyOYBFEZSqXBUGFerLtNJyO/8R3/5C9950fNEsufNorAQEWqkvAlRKJq21t0hnH9NvTnMk/M7xUe2NgxR8oa4NiUWEdGpW6yrekZMRbSoXIaiqUPEwsTZ0yYVq9vd82/4pi9+/4d+6V6w26MDe/eZrUuNmeyic+7iDq9OuSaDVYHaOsXdvJQB3dRUyAylFK6cYhUH/qInXv2mV61++b9+5uV5rAx181W1NbFNAc6bUhTTn/2b31KiF1SQhgSDRAY2hYgiszAQyqaASlK0+KhCiIVABvSOg1c5Yaq5vwVsqOQSSSgiI9HASPgrX/unQTuTgh413La22+QirpRk2rZRKQYYeqMqyRkxBJyA8n4gg3VRfQgssUQuZymnVffQW658yf/xvUWmuZi8HlIMKKUUgbQSMdwn9n0hLcOdcGSUQW2XoyuPaej7SJa8YB1zApAiQmRygh00pDZWWzYWWcgYQVW6pUoDS+KesDJUj1U1/N6/+HXoWhXDa7/qcdi7Ag0oQQBkWevRXr1zoHcBVaXyYvXCK+X2He4VZw2MZVicvXzXr9KF+w6KircX6Td++5nz941SLy+e5jXWRoi28J/9y+/jFDj1UAYZovhAjc0dCKEUQVEifV4SqYxlw2wlEpCHiOI7ksRYY/GChgWU9JxYkZGWJbb463/mu5yxJUYqSBTqqs6kHQDlmDIULERaUGQorASpqCiBXPBhKKgYBqeHs80ipslDu9/6T35oGCqNm5hqjjn1SzuaxRA5DUqRP+kwr7lbURnEHawPTy6+ab+7djZ++OGUV7kDUZGHXGLJaHIu2iCnfL7d1k1kRlQKVC0pQwwMyAWVrIgcKafbid5JgdOwUFo5MlY5g03LKaDWhIJZcXcmPaNf5eViWFnaRrCaCDDH9LEXXvjM9b1H9qqmLcGv0uZzf/zZ9z5dGmNQjcHmd33fN7zziw6IhuKjzl1OBro1oObSg7PsEUtCNlwGxoTZsV9LUugyDAjskUGkluEMikanuBCVjt0IJUlGPaocczS2shpQJKN1zCUzkVSNzUEBoi2rbG0YEleNpuCVhto10oeQqPNh6FNKb/mbP5J7ktwnlJITAoLRWQILakJOA42cGYZEl0rZQC/tuYPjl0Kr8+CDQ2DilBQ6K3pTQkLbisq52FXmcaoQo8oBCJFQNJmcmbx0UUrkxsc+wYB6d2+2azmpNAyyCfn4jDTnVQrHZxilrE6BjfJ9f/0l36fdH/wWBFKuIWfy+uVbt+/et/9QWnM+V416/Y63vu3NX9yfrijcOHplld72jl3CjjNDHjIbFE4CwhlYaJWFIiyZaRBWKJHBFLYoAPPAaDF4qUYyLEBGqDIu5wVNtMYOATCR29KKHGLUKIrB21ZFj5itU4ioQ88iuqkxT2QQM1YlYyCjpUgYhLgrpg8d7Ez+/M/+iBOTU0RTpa5D8AU0ZlCGhvWSaieZwQ9cTWQVtMoS5yk3/uZq9+3767s3Yf98Yxkqm4degqgCnO7GtG14dUxbTVkqrmCcJSSRDYFiHzMWXgimHo8ZOp9dA+omO0fdIslINMFik+edQAHK5azj2kjR0p2UzLfvLpo/etHVqTQEdJ7O4RNX6vYL3yR3ry2f+Rw9ugeDs7yz2/Tlicqtjkf9iq2CxEggJJw8DR1oC0FKFiQUhRIQSxBWgIMWAU5IiRMr5YrvIBmlljBAoUZLp4oCxyIaea0dLQtYgQxCNUalE5LTBobSMEQT16QoMrsqBG/QqopDl3FQpgx+M19tvfb+d/2tb0605xdzEMyySQFsU0FKSBQHqcsCZNoXy2FZ1JaaJLndp2qXs29HdOuDN698xcX5x6/VX/AYrM9SHCsiPSyCG5OciYzG2B8f9vuuT9goxSUCSuSipDulhCWW3BdYx7Jeog4Rx5wHXB4BM8cz1UyKVZAKh00JVEicU7w53Tk3SsdH9de93TYOaDL856drATjuXOzHxp0s3GRmoUlIW2rBAWbx0AP2MK5ARQwkPkOuqQ9sevTEpIGicE2SISfJICoX1joDSg8ZVPJZekwlFiEzIVMBJUGjK1Wk1li01lI2ybSK2BBhSaEU4/iIVJUaW0AhgBQBSjxwQsvoY7+er8qX/d3vvfjqixFqKaVAATAkSWGhGApjjqBgDvsP3/m9399/0wNZF+CzMjBdPDDHJ3mI3ALdPL37qapx/fwYRxWDnwelTTODgGYyZX/CwWw2m+2iRFDnM7Bb2bRaPOsqC+djSZsldpsiWFaS9DEVQzRCWKqmYdMU9AwWxJdiKtOaUfP7H33uy95+Va0W8vFn41SBm6Z+fXTaz466PCNpZ+H4npqeh0FXByww3WUsp/eYGurXqEgoUZKCCaLBbDL3uudMaMq8YAugQHnGkS6bUjySLdQAJyg+G4ukNLKkUlylmTJaSIGwUcBGNSTKAgBTrYBV4gwtpGKTd/7EQiXVqKpbrK3WMfvSM37Dr/zk5Vc/mBMMG5HuqBQQJA6DMnXJVYnK0hFhg4s7B1/whvnzdxyldHZSbVtky7hRI8FeqgfOh4XWB/fd/oM/9E3bjgYNJZegaw3xVJIqlRk9eO6sLOlszlBB9hhigaT0OHO6+8Lz/c1bsV8t7q6W/TL1IdsW64C1QG1UW4xrGxfNeFePJrRTA5qDMSF3uZoOZ6f+NIdb95D88byLm9sYOHWbUIirgtOA64SSMEMCE0/O4uGCBy9DzkLggShI8Co6wqKTzzljv5HNugwiQ5e44uJSTuzPso8otYgWwB40OEujSSaUrpccSBetjCInsQiaKncBdJtdEqIELkdTzG5Jc5Iw+EySE7dRuSx6hCO/CXGTOPQCIKB12mjrlPBmNTRVFNgCCWDHRnDv8Qd8j1Dvp+VSHT6lt86p0ZRGCDmenZz9tR/9ld13vv75f/V+8dyOtQUBilCk4p7ikDcZ73t4vvA8Txwqib0UVSB+6tc/eedwQCEYNTLSPkVnpSxO85BptKON0dXYjTQRgmQFMZ+uuR/e9LqHbEwKmSpbFqclZaiq0ay23MlmjmGu4IzKlGBPIelGZLtCLsKuhBLnIS+Lni8RoHRB9UEil0AcWRKV0knJGM4oe+iixI66XqjWriIFyKyMrYwCBpqvlS+EpIGpGM0kvAYHHjYrNFgEIVlNoFXitrEpIplAM0sQtPX9Kuf0FX/7m0IcEohPlSmS1DivTpMYLlwgjbdVUQ5VET2i9TWhzNTAYFo1yGahJ5fQr8qpx7wnuvnY08PsQvUr/7Z/zfe95RP/7Rms9ka7E62UUZMINs9TXq42r5yWxx8M87O0OkvrQZZlOPafePqmhiIXz//y7720WMtkpkKPzbkte9++JM7NDGpXiohrAK20hoGPXrxxfFZC3ZJ1AoJNxX4NTk+MSZzirVMveWpM8Cd5fcpAMmjVaRUTUJJYwA/YL2NIsuggiJDGbs0lYQmqGMFKYS6iJUaRlLnCHHV/RBlEIkIm32NgcRU6pqaBjjAUyn7FwyZXrdi6kM6mKTxoyZAhkFF+5aFApU1ZFWtpuR6sefQvfSdVe+s+M1SWloXmcbFpVadKYLFgxszSLTspCodNac8XnxUWnW9yd9e4cQdBotcKUXVm6K88si0rOb712b/zv/3WW75q54Vffr8/XFfO27FWda0rVo4M1cx5ceVBRMi5xBIPP/Py3u6o2pr+zm9+6vrx5unn51AdjK6cdw/ukJu61z2oR5WutWnFbFf1JdfWujq/vfeaB7YvjasLO3pCmH0prJX2eUS6yPowtW3UKGLSMuacy3QcuuCHgWsLVkQ7Lhh9lbuSQ5I05Ji5sWINAwgPnHNYBWIEYa28SRmUE2wYGCUpalEDaYFNBF1TWIHbBGOorh2MtyseoAhZ0WlldSVOJYVVATQTdG7I1lMthXPK9Re/ZTKi3C9Pb3UY16wt8Jg4oKlZ1dhvJAQuRsVeK8OmQsicQ94kfe7+tEnAweWcBlXiKXZ3izZvvdKMub37/MdffuXef/xlv39RHX3qBZQK2KOKem/f7Y2o1eCNm4XF/gVoZpL53r3TCzt6WtvPHPbjsfrTP/0DV7/tK+v7riw3Fh1RSfrKOTXStL2jxsZM9/T2rm4mdoR2b19VaNJG15N6XItCSkMCTj75cmaAlSQlAwLwnUMOFLteuqAKGoiUxIQTZBFQlFXWFgamk0OOWIakYiErrBRTy30g6dCMlKrRBlEjQShqLDqRkzzkwpmkNmSIE+vcs62UVQpFkQMOoq2zSCqygImJnJGS+mGY6+rRVx94aMSNp/YmEkMpArUCFWgsq+f0bMyBKAcz3VlvkgIUHmk3QQ7+cK3PP8pqhmB6akrdFhlXykWVqyaPx5Nz7fS3P/yJD9+tKKxuffzIZLJQYLXRdrR1ULe7iDThPO/6RdysolNPvOFV7ay1Jn3dD36va/fTeLd+fHznmodVEs06g2qnGlg3lrhQO3OWjdszkC1oqFolgn3EDJi6W3OPFiRmbZ3UM51Z+syrDaQz3KzTurDPmJJ2xNNzpJE2a4kb1XspUUxNwxJHWnKCrJUfyAfUZEyjgBF7hZqIikIFRWiCBJoAaQTUSEFNUpipoMlhUJosGAg+KU/cJNVCTkyWNield4XT6378OxGzjqs89EnPkqepBfSvCIzT2gqfw2jIFVBNXPfkz6Q5kJx40+m0NDvbybNezbkbbHeMB7vSmsHTHahob/v+g/t2Hnkirm5++CPXzn3jg/Ti0Ysn+PBjO82oUFqwbWU6bW0Vw0GPt8qnntIpjQ+2P/Te36sq8/u/9Lu/9q9+6+v++g8+MZmP9jDzxvIB5VCsR9dKDlgx5ZxRoys5VQoyRxZgEARB6XPqpFTGTBouQMCZsaRegebO9/2y3rHkmdkXEiCElNCOc+nJZ6KNsBNXlYGVZGW0+GAqZGwYMuFQBFA0MtqSxXpMG5YJiMdCIAmBKAqhylg2VREllMoKjJZeiSZIxXLImgsjUNLv/FLnN7Grk5rY6Whke37pmlYB3DmqDJRkXU+6IFFOnY1zqM/1xwHmK1l3Pe2m5cbNn1NtSGZhL1zolp7vnZnB3a/mzeTg8O6dT/zXX/nwe99/8vKdn/rp3149+LZP/tYHbq7g3tmZSn5Y0rUbq80Lz6aTI3d5G97x6Ok6pU25/7FHIJWTe0fL7s7v/ZN/Gm9AWs9hE2URo41YzWhSq9og6gwWUElkgAQxMAszSmHoOtLVZDpRI2dGVDUaK/j/Xx7Y5K7HZZ6VIj1CsJMkSCGzSIbIWbiuGFu2BorVlAgMZFTjWVKVlAGNylKodgCVVoFHmEuds0O/EdTApiBx8cRYAJUzGo2yXBTXTKbeqlTq0YLoxq6jbibzQa4+ccm7kTXHTT7EDYcwpvHEpy0tA5hJZeekm245L3ldTrhMthHYqVNsRY2dyYdKn8hWk0+BYA9uDDW/MhoRwg2nq3BGVx/daSb8Rd/0dbqsv/o7/+K//0f/z5d+6zd0C3ttft+N6+0nr9mzW9Vn72398cc+f+MTt2B87twT7H3UZWGr2uLw5je9hhynoxvTvDTQk/JWGhgGijlJU2qD/hSACwoEX8DS4JUC9h0J2Ma94YvO69FYFYreQGTJBQpkSCV3i3CiBUyMaV18dL5PRaMujNTA4CFrXViXRMmosSOjAYyNA40aiQxqKkwkPrDFRa+RDDJYQ6kXSiUnYUXOWEIHxhaFkoqCAYnZe62JSTNg0rRarS5+59do19XxznBS+aywURZXozEdv7iUaprnczOuYlIOiPpez2rsoo4b8jw8/byJPQRnJ1cAKpkUmjFtjS3evyIimt69OZy/Mjr6/Or+B960fO7zb3rrWz72737hLV/z9S/R/tHn79758M04u/LG2ctv2b/zxgfzm77ydQ++edc29vFv+bbF9RfyotQYqNBkWH3VG/c+9jtP1VQlZaDeBhCFiJ03cVCHfSmWlwOtO5VBAiNKWQWKBRg4ryDXoimtfSk5FioocRhC7st68GcCMQZpVNpQWqXQJU9pECoBk+HYSS5FCdMAPmVG4T7WU8gizhlImEuCGXERRZkpZYIyCNTCnSFk8sRiGKUMQSUujtg2WIRBRTYoCjQBiAhtbZfVwg60VW2tbFmms7thlYf50sSX8yY0dh7KyAB5rPvSSoqCQbiTivD+xxerLLNmdbbJvbAc0Kkvwy3ab5Yv5RTzp59ZXtwfreNi79UPjaat9Pw13/0nDz/zR3/4z/7F7Rs3Hru4+Py/+Nfm4hMsQZKrRHGpABJhs/dDf2a+WJyvDFfmmRv3Pvi7L9/3wIFuxGgF/Qn3x8xrzrGcHWfSRFyMEVVzMiQpMwhnEVakETQWz6clYMMcMW04sJUQ1/5kCHfjkBNhf1aUksK6csujxYJSQogQSu+T94wWCgc/FB+l2kIonIi9T4WZDXAnVLxPIB0CQhBOGVmVuNJDIZRohg1IEsjIQqxMTo4LAnDqUk6QvH78kQzbWi2oezn3o9BPZLRlZuy2Ju3M3n72s8ltUfESlmZ1z8CgVWAyRLFkVKhLnsbDRb1ZKpHs78HWDLYf9c+dXH7crTZds7+1GU0OdnZkEZ594fpi3h1/8jmjZHphWtf8Bx976crb3/DML/6K2blU5btwdiyny3LjTndnlTp6/B/+aGmnl1pIOb/6jZcuP7oHsouEoEdSpGzMsEl5k8vqRJaeOPDgOQ2wKSr2CJ5KRptEQFhn9siYgdlH8JvVqu+Xq5PlsNp0y5CwHRVgX1K37GcHbjjNPESTPVgQrFKU0inRDenIASmXUiSzkRwYGuHMZqqtESkEXVQ1imQkIkm6JiQqda210lSrqsFGx3riBSMWg0ZztBb33/pIpk0+XHXlSqxFjUIVrqcjtT4EBW21GrIXkmwmQFu7mZr1aU/BFyJup3mD1XjJizlcmuJqPjHGrBbq5Jodz7yyn3yxfPGbqyf2yuve9fbNbPbEW1+7WL1yeO/0/ksXZdnfffnp+cn1//Srf3D17Zee+U8f8Homw5pOr0uJ8eR6fObz/t7iG37m3RNrHqrVla2W7Jgoi3VyuJB14fUgZwtmUZGJnKwKoUgYWIccSTxmNrmnIjmsYgldmt8ORUKUvrcnno/Pls/f6ILIejPkruuZNt2QQNbH6/E2L/quC0MfoRNJ/SJCz5tFyXVebwYBQcICJVdSTpkyyxnqKbBKWQvooiN6z8aRRvz0D/w5FqYs2ho2I/BdjNkg+FIUxpwxCO2862sIj/P4nGsdDYsUZux8U+silnJioNOPPHXlXa8P3Eg/kIRyfNtcvhCWUY3Opxs3i2JnNv0zi/YNV9PZkSYrZchJqVC/vPAHF8b+dv7dD91R1QjzaU79M599cdTMAq/q6ahbD6vTVQT71/7RV6ZPrNuH7t9zd+3FGe7v96sFHy70xT27ffD7P/lvXnvfrgFbjVQ9mrKqNHoZNgWtSgmDFCi8ibpi1g0x5sxUoqgCUISQu74oyZFjiusOsqk2q+Nn74TnVnC+1Q9cmu6MtirHMRdf2I2bk9DxyYInlyqIHCNw1yhVTVrd82y3nlhdYQ/oSAQdga1xs0Yj2VoCl9OaxCB7VApDws98//ck5mJsFXpF4FnnIlpKVLVAgFVcTXYvf+tXxnv39MG2Wd4EdykrsbCQzqm+Rx4K1CWu5s3k/P0XDVT55Hmk6aa3dtqm40M3yZQFUoFR212P1SPTeK/X0WJ3fXOmby7CC08dvrCY7xxcWl+/OZrsPPZFb/mj9/3ayWlvMGNFWAxgOg4Ron33j77l4NYi7F544HWI0MLulpru5gAYkuzgH/3krzy827pmWjsnuYhh9Ii5Q1WEEUQKKQUZux6sTlSBAFCPRYMFKJC79cBq8CWlYRPL4rj/6O1A0/qBsXMNsp5uNidMbb1l4qo8c31RWJEkFb1qWl1CJj1uzP0XWqPMuDHVyL561wg1zh9J2wKKgFjExDWnDeoKQk9JwGktwBmU2Qxi2BchVMYJeLGUN9m6arCXrphR1Xerej4UjyIr7G73/Za7YOBgqs1WPptbty3PLMs+A4lOUsZqtDONN+9oN7Cfsj8t5x4EaGP/cbrhm62UOsLtCxZ8Mx4NTz7fpHh+d//o+s18Mn/fL773tV/2Vd2n/7uxNXsYdKRsrp6bndy69TM//eFveder3x5fefK/pnf82FfGl49T7sz2BRltcerf/hN/5lN/9z9fvWhzyNpm6J2SY+wLTqYQU0bSGAMoBQWTLshEAyQrRqvVYmjbDBVLGNLQJzrb5Kfuxe29nWktsaibr5wNOkkuSXVNN1rPTx+/NH5gF2qsEmzvbTVKYRcjSbh1PZ1A+fQr/WSm796C2Qwf2duedhEBlIEBmBUCJL0GsVmaBgXxj37g3cBZg9YlFKVFUgmgGVilKLrEVN74lece6ft0wfF8s9Ktv8b7rzZqpSCURcegVVhVzpW2vfW7n7/4lU/Q6KJWJ90Z6KPb7uJD3TI2V2W4wTIwbc3zqWv3RmXVyXG/IjmWvaOnX3zp2vNv/xPf8N9/6Tdy8Zu1T8K2arTkmAIZDtkc7LWHx6svfNe3ukn7ud//tR/6nld95n3PvfVvfD+98AnamvK0EndR18bH04/+jf9434XJyDRGkSixRMI5mdaYHFaryiiMQ2ElnI22CYkmE+43nhn9sIq4WnfzjcyZoqTTQbxqy7ChKHrLBM8m0/kt8+B+NWn0bNpg4nm3sl72L+7H1BErGk2ENnGV56v1R1/mlw9Xr7l/8vil0dX9VrMR6ZhIJQAlwFFRg5Twj37kh2WztrWBIKiTsDbZ++IQASFBCOnLv7XemUN2dHRNdh/o7uXRBaGjo8XLOdu2HTMdrahGRjBtPorjR9++U2hnuLnE2TSebCbnV35V0Wbto6H93So9P/+U333z5XjnLsT6Fj+Qn/noKxvc1rPPHt71urn7wvPMqQsCyu63o8n2zgNf9k7a08/9zm8Mt8z12y9G6Stb/fgPf+Hw8tHe2143a+5abNPBORmPVLMDZfE/3vOv79/X43ZCxtdQYQ6DQhVDQABVUR5Mu6slgEAsBYaYYjjxMLA5KrjcrLukPYkNkcaGzAR8WOWkCyulZ1M8O43bs7rreeTwvqlqK9VCOL/VmLpiU6EgF0DqSybC4d7h8O8/Pre1edtDu2+9VKnKaJ8IRVUKUsR2lFPAP/6+7yKhImiYU00pQFUSoEmsBLswZPuubxk384Q75dY1XY3nKe/o+XBbyYiM5ehBDR44qQHz9nhzZ3nlC1p18JAZVptITg+c97S/3Y+v6OunUhVPF93wVLdQ7c7FdHa377dLd++VY9maunt+9JnPPHPn+Kbm/NYv+oo7tz8Xe3PpsYdf/PwrYdNJ7B99/VtvPv/UhQceffKpP5yfnL3z9fd//TdcfeGDt9/2t77Df/rjZ6Od3Z2G6i0cwy98989MyY63tFVKNtFaWg/srGTv67GuJyO72qCzPdhlX3Rj15iYXTS8OF5MDw5Wd5bLda+cKmSdUWG9rkajxCV4zI1tgfdMYsJug9kHp8vlreq++8ZTkXpSS8EkVkvH7ZgXK8Dh1z90fLRz5Yt3ugd3xk2DWhmUBAYkBGMQP/nu74GcRVWEDvJAShJr9knYU0YyIbcPm9c27K7wK8+XR19ju0M+WS06MyEk7EiUsWnoC2nt0TSb2zdvy+v+1Fdyfimd5lg9pA6v6ctXDPdxlMvne70lvHcxHWY8vOaarWjxA797621v3PncHR4349//4Mceeusbn/7gx1eL9dWDi25ndHLvtHZ69+B+PR713fDspz+i1eiBN7/h9PbTt146FvY/9je+lj7z+erhh+W+3f2QzF6dtZk+ePDhf/cLv/Fv7phG10S5QKtzbe2FB3YAR+NKDXGFUmhnG0M/v3t2diKlMiMCvTPpu3x6eNznPK1Uno60D32kFIVRKSUls0dX2T73rGfTalTHW/esMbuVbI/Udq2mbT2xoFVFJhOJQtGqvP/Ddz/uqz/3+vFs2k4UkNMcBrCmCOHH3/1dkA3o2qiILFxY0sBs8lAQwDXQl7F708P54KHyzKdpa5ZOliYucXoQ16ezS9Nwb2kLl7DGRvt5rLQ6Oulzs/Pol79p1J4u7w7FIpyhu1ClO9FrZ/1SLuyePvny7qxCinSpXnx2OBltH2S/ubt59h5/8oUbdQ1Jq8PbZwrANc4X3ptuD92RrevuLI9bZWjESp174IFn/ugDA+fJtPorP/iW9/2Pz3/1D319S3cgkT53RbXjUOcf++p/4nRl88ZSYaMMC2quhKIgGAel5F4sStGGhJkZtcaWWgAQIMhZVEiIOunRNM5j1gJOQ8hYj8lExWo42zDlamvKWap+fmF/VFfUlnxhq2rHbqK5JNaqKrV67wdeGXT1jY/Xk62phQBOExAjkZFK1a4hr2IBpYABAksaTF2sBU7J6rxasDo91gpMXXHriCPRWo0nq5cOebWCtnXtVj+Qm8w2hLZq8uLs7JV7/VJoe9+sqNlP6fYdaE0bVhG0f+r6wXlndqOf9/lWns7M+c3y2Wsr2G7eejCMZ7q+vLu9dx4Mj2u3Mxo/9shVwK5qG2TtLC6H9b3jWwPPw15b7QnAcLzof/FX5Wgx8Muf+cTPfSykC3DnZVzfcWv/r37nrzx0hRPV3WBzAD8k30E3uOCLK7rS6BxGZ+vSH5wz5y+bSxea7aZyBEpJKsozKKI+OvElcjRN7UZmOqmnLk4RdibNuQv6votj5QcaVjGr23N57vPrFzt17Wh44eX5y/e8lwbEY5Rvfuv2tXub+TrGPiQUiImXmxI8fuI976Hi2C9pMlYsKm3Y+0KskjBZRCLik9d/cXXnuhtxiGNZHomr0+iyXTyPMdEQRdlqa0Y25B7imkqad1SngZ/4ogtx9ihvXg4vb5JJs62WkTZnIZ0umgvnPc6MOjl7/vDilcshL5j1Z16KD++RAPzb37m2vX1uujM7fOW6ZTMUv33+6t2XnhpENMjugw9fuO/SnU99zo6aG8895QwNPmc9Y0ccu2//9tc/UE5vXUsPff3X1NXN6uqraDReav1Xv/b/tOKRnMXUCDqbwM4slf2L49gNOZRN5ErxgqECQzkzcycaIQAYLlnXzsQUnQWqhuXSWhKsVMkwdbwYjDJZ83RSrdY+dRmxc1I3U31homeNTKrq4lhpo5555tZ1ab/44rh1qEx02kll8cn3/Bgar3ykwkkVhWQDbtjXBbJR5LlU9uzyG2RxONs1XVeZ9Q23s9PdWuFUYJ51M0k5qslIVR7oHC5vqtFWUHlx9zTeXL/uT72ewHartLx7uj7rHjhvvGpsnUvKMiJZGLTt6bXP713aC1nCOt19pajxrNjNH97x5aS/8vB9McG929evHx/XQ64aQ8oO65XY2ur26Ojl2bSNJT/60Fufu/bRklFAbQo2Lv7EX3jH8dO3Zby7/4bXbD+i3e5BMfKPv/sfqhO5uQ6ubWZ709j7OkdjXGCl1aCYhMAnfWG3vbsKyQ+AJhZ2lbJcspjFkEEhEeK4Vj4TCPYbrirr9FaNhYuOcZHdZKy7IcZEqevaGbWi96q0XdH+bl2D/OwnV9/yUHXx3HZlohpNkQs5OUOvM41KPRZFRDrrYuv9rI0CraqRZj8tm93L08LTtDkr4+1ll52JtR2BrYk7uz9zlQdqXTlrtkYN+fGym/llO1Ef//Vni2QTT7csnHtkdHjrzPi5hIRcpVPczFf+9KR9/LXHi8Hk2NTt/Rf5oUvQiFZ3TmdW6OzsMx/51O3bJ7Zbt7MGU/bLZYkpp8Q02NoN0ZOx51/36tbWM+tmBmfkCZu/8/Of+83rm/2HthYf+dAL/+nJl3/zM7Kp/9bP/7/+0r//0UcvaRPM6nAhulJSDIdGw3wVfJblSgDgdOV9yMi8NaKRgZhyHzFoN8JYQZ5VpknSqNAoYRIkLd2wXCVjnd1qdqbTxdlKgpTkffSrs3xnHl86pRNWz98JZwPZhCGLmBRoktZeEuGnf+DPFSIbMUM2AkHYuFoyF7Z1mvtmj7hPAw1XLhZgf68DjTQdN/2yb6v6xitld09rqSeVWZ6JmYXSWZ84DlyPV/O0SYs61w++46HIMa47tbN379OvXD7fsqs30dhydLpQjTHEhXMAkVElJfFHX2meeeqFNz588MJSHR7f6zFpn3bP753cPd578Aqfzo+7LnivCrz6zW9pX/P4B//jf5lg9JJrpQQ4RuDW+cyS3dUx/9nveNXmcB1zVWk8LFuv+prp5z/x8n/8T5/bOXc+ntwyKDBIzqwcupr6pKpK5VxAiKsKB88spURWjYA4Ql2hlGxq4k6BdPcfmFKIk4s53pnHd37HOz72P59UHjcAMXpLtBnWWpTWNKvxvm1z4yxtK3ns4uz8TKQkSyN88ge/35UUkSxSFrDZR3GaIamRG86yVRS8EAznHimGw8nCVCSqCZlbV/wqaQ62bSgNJXig1ho67uy4HqKqZjr1cR2PF8P0ysOvG/Gm717x7mJ749nV1Qe2IYYkJVEtJ30BNlR79tpOaptQ23tH90o27/vDe3a0t1zeXGxWjDUCa8TLDz6qVTo+PhpCKZw9TmB1ywHqdjyty/wsSqUn27PlvEsEJUUTFMPqe77/i9qjV/ix1199/OGGX1Gvfe1f+/qf5tPVpYP2iYv2E8+urDbLPkrtMOWkVU2ISADLqq6adhLW4fwBCZlK2y6qSZ1L9KseTAbdlPVanRx3c4KrO5NX5utzY+fnqwXrzLl0oFuTw1qrSnHZHVEf6zcc5Atjo1t0xuIn/+IP6MGLHYkfDEqIkTTRENGKKCXUYklKpxjqbnc2Pxrc9q4Mi3pG+SzpnFaneesiUoJl0dqN21nd1oWHJQxeG92fparG6y+u9x+6ODm/bXjVnwXdyr0b/flzMyi5ZO+FMBcUJ86dLbywu3yQS7R+7Z8cts367h8+f+P+V73B376x7FZX3/QFH/2fv/2aJ9546+hav5z3wRBGXdWVkUsXLt188SZqzdiRtFEVZg59zpqI/eD1l772ynd89xvzZBTWh9c+evex97zrN3/qZz/4kY0VPRrVvvgKMrhKa5NCwGwg9KZ2S59zZrK6iGAq1ajNkWmkh3lXWPsSGm1q62ryo+l4b5Q2y3Sadc9Uwmp3bDdnQ1SgUK0TCIZtrZOPD4yrSwe4pbXTjE+++3spIFYFMusYwDkMoQgVVbvW8XKO1ThrxuVmoWp0k16CYq4gNqaZF/abhLqdUN9pMzq/r9XSzDNxWoX65ObJfQ9UG69J8fw0XnnNwxp9XhwTU3ffVnz+dPfSwXCycWUICqBoyV4ZKT33gScXDnhwq2okd5973x/duDUHJMTArHWzbZcnuarC7oMPV9bIZAvw7PZnnvVLqFoJQ1QETLq2NiL3fZex/q4vePA33v/peRYzo7/wD75Pv3wUXrl2dKjbbXr4u177k3/+v4+qqoWcARyAbTJsOFlsiOqxrtqqsQI9x8wnZ7G3W2f9pmiK6xDyPCSx7eQv/9Tf/P/+1X/0nX/+z//8z/7L0azed1tD6rc1nx13y3Ez8hvfjLUMYZ0sQgYaa9mu8PJUj1urQVe6HsQ7rTal2Uc5E1cZMgJcxBRAldnGUCozuvpId3poOsLkom3D/Mg4peox2rLodVNP6OyIU4nempmb7IJup6drOD9OMRNd0KfXXp5e3nejmiSPX16mWVlfe2l8/1X2SoVu0IkGCcXUIy06r0+6ww4e25NbsHX5AX540nS37n7w2kIgPPzaLz17369E1954/jlbWZu1mhnLTpxPa8/OKok6c+/9aHdLGvjhH/mi1VMv7zYEehtAfupH/t1sVv3YT//5l37qv7nMT/3U+if+7+/5pX/4H254NWKVjOhgIHfYF28bK7A/pCUnccovSiGTgt8B+Ib/6ycefcQf3vMqYF83z/6HT2uTtx8+1zR4VcnVL/+6D/3XXwwcFcEu8qKQGXoz2aFq1WfltN9EEsl4Nzz00Bg//Z53s65cXDEUYkKtaehCPeNhELSqQKaeXAu+j81BZ0NaF2PqYbG2aaC6orK0k/HyONn9PX16FFuD0lZWWugV+z4oqowZChcBDZsY1Nalscm8XNCsfeGV/spIxlfui+sFa3PabUbCGrnAeO6xhOmo7nfKcRfz0h381gc/2Uv1wNu+6t4LT+5cudBU+/Wl7WF5u7/XLNb3bj3/xxpN75eFqalHEeObH9x6+OE9GF0Jn/oYVVsPf/XDP/cLT965e7tpa4TqW7/2Tfd/3evVuP34v/jFcidf/cL7Dr72iX/8nl+uKuvjoFCQEAtm1EogkajIGlVTqz/9D77/Yz/3u88+e+f7/99/473/zz/l49z1/IV/8ptf9U5740b1+//8p1/3jV+t19uX/sTjh8999u6n/uDaH99rDK58ColQkS491jOoazg+TSW/+S3vIBsHFzaoWdAVlVLy0TrIG9AUS8omqXoS+kCSqhxH/7+S7vzZ0/sq7Pw557M9z/Nd735736RWd2tryfJuvGLjDWODARtMwDhOgGS2qsksMBWmUiFkQmZIaghQEFJhGAco4rENxtiWZQt5kS3LWlp7t9Tq7fbtu33vd3u2z3LO/OC/4v3b693t2HYkk12LyfZ7sa2oW0xG3hpoRbscfOzlzvfbUYSigk6Z1MbNMIF+6uc3d31vsODLOJHCHViWuj167tjGmDZu7eqOMpqX+paL3lZcTqG2Ou8Oevt7O2Y4yIa9rNoqFhaWbHrskb+58uroew8/9cxT3588s/O1v/rGDx5/+JlnvgtkxOBtp8+88x//2h13v+Wtn/45c/S87Q3DxtXs2NH+T/zY4MTBfsZZYXwblhc7m5vXpy9tq+rmW/7Xn069qr1+7fpnvvfb/+I9KrCABmOZTJZbso4ZOJkJwYf+t//x9LnX/vH/8plT59/60z9x9A/+m9+5eLlslN7zI3PQ3nghH4MaTePjn/9mcXpw9ckZbNCFx7Y80PVpW+us65Q2dp46sxRGo70Zwum7H6D+Kj75jz+tNUFoQ9ug60KcKEFklRxJ6Ql1CypTlut5UFnn1NLm1Tn4WlIyPqIl1E6SROKyNqYgnNVLfQwt7M2ht2Y7ZlApNrGFNgBSK91MtbNJPVzIiqEOXjWpHMU4SK6bGdfL6+Tq/Vt7obuaSnD9SdkMhzqP8eWd6fWpOpyHL3732on7f2T3xqWLN28uLa0du/2Ozmr30L2nJ89uJNsplsL+8+Olu08+/7Wv3/vzP/U3//Y/zHf2VjN9/tja8mtO5ze/lw/WH3l+ezKW1sePfepHi7yX9cza6aUn/voL8204fsDe94nz//LnP/vKPpm+ReeaihkhBPhHv/VrX/jtz+hq/02//qmn/93/ffSBn17pJzzenW1zvfvkE39/472f+sRzX//K+m33Ld6x9PBnvlTt7rsFOHP3A7cuXTp59i4Y2O/87Vfuef07nvzqZ4fDQ3bVbVzeOfemt7z66Lfwwid/QUwnQa08MyVMTkMbjNOpTZ4ohmAWUpi6joI6UX/h5samk0w6KO0syDBX3HLrOn2Z7tOggDrWoBypUHQ7YdtluQSMVYhaNGJSnHV740lM8/nwjiOZyPTWLB+6zZ1xDG59WTJm5QZVkKujuNLRmaOqir6R9SU/anqLevvFHfPl716n7lGXV6tLC3tbabAwdNkiy7TvBk8/9cQb3v32xuJ8e/vAu17/rf/jXxZOhr2smacExfs+/MDXvvxEf23Frh67+Z2v3MK1d7/jDsuT8z//sbW1MJ7sPfwb/+/9rzs1WF/avf7Iv//b4uRCenlGoPQn/+dfia0v/Ks7DV34079bOffGpfMnABwKSBXGm9sH7z8ms9H2djU8uH7z0la9N6v2r7mV3uza9sFjy21FRh9avXfxe5/5/MGjy6v33Ld3yy+uQTmfPPu1b+MTv/rfoiQJczRGvGdjzKwNeUaBETjGaBWTCApFQqzCkfedfP6LL9TZwDYzH8SjxU5hJrPCqhmzRMyMVCJ9o4ibugqdxbVJ2Thnb237JVdrBZJ3e7qZzNvhwdtMEeYjnyRUTVPJYNHI4qoogYm304mPiXtZqqZcDLsdF1B396Vz5dVNqna/8wrpheHJe+8ePfOsXl/yTY0qL1ZXDfBsb+O293zgpQe/Pd56FEvT+umZ1eye44MnrtNPfXzt3/zbyzvjWUvjE+sHbBvvef3Jd37wAVg9tbDc7uwTGqeuPnPw9t5lOPEXv/67MRVv+an33Xr2hYcfevHtH3q3Hg69jLqD26Y3b5Tzea83GK4tNuM9dFbYzq+82jtz+5Xvvbx0/o52vvv4576kQvn2j/xsNYXlNx/59u//2et+/L2o5tNZPtnYnG/duHH5YqwTPv7JXyBSLEFEW00tasQ8ta0WLyEpYDVYw1BKaBFCAAN1SBj6i7BxM4VE7L1WSmkRNAGcinWGXqxpvTI6G9Xtas9IbzDZ37dKYoRM6zJ52K+tpYlPZ+88U7f7bYjNbN5K3tSw3vHFYp/JMBbbe7d81T0wqKaqr3Ovpu1ip/eyOba4+8KsHb06yp66PDt2++mw2F74+8trw6HN4NaoecPb3vnYDx4+d+frwsyHW996Za+y0h7v9Rfve72/+fSr2/VWFf24vOfEsedfvfLW+w4f6/Vw6dAD+W41SpMqqOV8vHB851aVVusrL07e9Euf/Oy//v2j59bRL6iFwYl7T9fjuSEcX3tp46XtsmZaWBxtXF8/duLsj5ytL19pVVbW/NK3Htmfba8sLr3jlz492Wl0mF+/eCnUk/7RO0bXLpTTNsxHLg8ri6v4+C//ApDG4I3uA8w5KqVTy1pJiIIQLDkyvlGaQwuYaakaQMV17J5YavZ2rm9403Xa6Bgii8tNYFPEerrUo1lwzOWkMUc7cVwKGLBGteMal5e3rk4AeamQar89cNdtzd5uUFx0HRYrN29e6XeywwcP7F3b9Ez9rp1UoEw7220OrA2zpaxqT9bY0rVnH3p2lB3Ir8AJuXT56Nvvvvz9Fw7fdnTSpLTPw0M9VNXFCzd0EXBWT2M6PuyMJ+1+PY8a3vPm9Q9+9PCzf1s++MSlUCxf29r+5//DRw/6yw3e8fJ8dvXbP8DVA49cuPrxew5Xx+4Jgx44Mxs3u69syWJaL5aacn+0MU+xoY6ZT+rZ/qyejE7d9aZoyrAT7LI6/KZ3fva3/tlttx8697oPJYN9Ex578NvNdLJ85ODm9Y1uz971+nc9/9jnDx889eIzz+L3f/mTKglgMFqLYERCbpAktZZUSFWgXOuAwRibWqYFjg2CZ++DtUbpwlSXtnUGpaDtKpk3DNo6QzVqN5uioxm6HAnnzSRwblWbUlexydOMFw4ccO1svtTTvdXq+SvFyVOqak7U157L7r3zuS8/fe+5Xmx4lpIPMhnHhWG32t3r5Z2FgX2Jz6y++8zGH/1xfvLk73/x2Q9+6h9+5zN/Plg64ikuHl28/uQF9gaNkjjRpgOqqiZeK9VZ6qsYbjtz8PLz26GpDxw5fPfrT6/Elx65cWq+ubd44sThw8Xysd5f/eHngsTfedOpl3hh9+Spksx4VG4/9xJDvXj8sCO1d2M/y3qjsIc3eeFEIdEODgzKmp//1kPb49k73/3hB7/y4OkD+s73vEXjsZ3rz7343JPtLHYQOwsDiKAX93kzu7i3de7Y8e3JFn7/l34RteLcuVYSV5AsQiuYOAghNIkURGsccOKGVW6TT2ysTlXFzkEds9xy2N31mdXcNqMy5d1+bDx2IEuxSqSdCdM6U9B6tgsmttChBkze7ZuFc0tu0pXJy8boiqbp6Gv9zh7tjvqvvTfZYGMz3dxZuK3/4n+9Op+zFskHSltTbo8Pve72l2A9KwXHu3/6hcd26uztP/neVx757jxM60jDwpWzMsaqGJjC9f1kmhjBAbZBd9T62u3PvHQhK7LB4iHXVG/5mZ+ZJ3rua19u5/XJ0wcHJ8/6m+25O5d3lel0zdaINq/cWlqnS49eWDhwbOnoyQvfePDk6VNXL1/X0h44csIs6nY/Xbl0EeumidOgakzF3W+6e/OlGybLDtx274XHHqqm055SDaXTd5+88oMbFc/mTbr7zB0Gutyt8PF/9OkYopJaqZ5pp5EEAZOxsWFKkvIuEXKsssiRSLVtzSrvGN+Ck1CKMlQxOC25UDUpcbw7WeiqGXWRaiOmEc40NVWwKDp3EHn9iKL1bm/GPunZ1qSfpd5dGc15vK/8Zu16Es6fcGY9U63WMesu215r1tfV7NbuE5f1vQ/k3fSX/+RP333fgV/9Lzcyu3Dv8YUzd5756y89uBvwR978WumtfvfLf/vmf/Dxvaeee+bZZxe7OY8nutvJ+kWq/SjO+vlC3frRaPdH3/7ewe3ry7efufGDF2+++vLBM/dOXnl80uS5xCNvuuvFJ1/0o3jygfOLt5+++t0vO3f82NsOPPmZh+Z7qduXya3KDCR3PQHQRdy7sT2wmVrsSSyPnDx49eWrVWk2r73aH3ZnIWJq+rkRrn1jhsudK5vjs6dO3P+R9916+tHdXbd/61nNjERc/FDS6gx1UzMmmpcaMygyqiYEGmxAQAKNGCgv6nnIdBOoY1MAtsZQSnXr6eChYqnDYX8ymwXljFeeWwk+SU+DpuRDf0FpMarCKKid6R85lOmrJjEM1XrP0z1ZmkV3CnEJq+2gApuFTbt+ABix21v88E8++xt/0DbZG9+zcqnKAdSQJnccXjzuX1A6e8vJ/g9+8OLbfvz+Q8fPDaj7zCvX3v+hd33r4e93l9YVNGmGYLSfhcWl4Wt+4x88+u/+WCQrbzbgbl5/6bn5eG704x273MO4cubU33/2aw+89i6/kDV+Or347Mpdd48vPHftm1v3/Ohr2sgvfOkRyNpZOQUfqWs2X7xmdOfa3m5nqpsqbr48mTaTpZXe3a+565knHj9w9vjmM1cWDy2/eLG868xayuAtx9ZvXJ198Q//pNwPNlPv+PCH8Olf+bSPJFFMvYO2wzYjrqMwIXpGqmLqdk2YKd3Dcsbok+rFQJpnqDtAAFIzq2gKI5yaeeB09hfO94cwf3pDsl51ecsYHO3N51ONCP1V27EACz0bsJmF2F3r0nWl6s6xBbtm0PTYOgkB8lPczVkN9596eOuhS1DC9ZshiCv6LsemLOlgD2Zp5O4+vfCa++2TTz8XDh4ZbfybL1yuxK7k6s3/5Fd3n3pCYGVwbvjNP/+Leuzf8LYfs2fyb/3R/6PD4sm7zt/5/rfu7Vy88I3HCjx4a/vi4iAjN1xb6rijtz/34COdjj1y5s6k48qxo9Ves3P1mZefeSEQnH/zfVItLJyxX/nPn7v/3nur/bHuFr3V5cce+nulUsEKrR3X5eJyb1pVxINMlyoIZWq0NR+u9qo2+mh7Ko4b5dP+ez/4wfU33PX4n3wVH/uVX+IyIQohqBRn0LXagxGoDUibfFROWUgkEqJOBOCbaI0RYHSK2PuUM8wlKG2Nx3lKKBKDWz1Ld//S69BjHa3Gurl5eXJ10c23zfHFxGjK0muTHLlQGQmmv0z5LT1cBM3sA2Zrfnj7X/ziH2lJqnBdDLmS5Fynkymrm91mMMBjP3Zo/4mxzjNUygs+eWH2V4++GHT/HR/+yONfefD8699lu66OqZlsD44e6y0X483tfHVY1bL32MtaNS2G5YNHqtn1rY1J4bK1laNlU7e+dVm/v760fs9t1594ZnTjlTYqF4zrhOUTd1345uff9olPPvqXf33fux/4wTcf27p8q2uy5ePrk3bfb2zPQjDKWkxtFNF6UKRpozoGB1nv5s6W6g+sg7LyB/uLx87fv3B4ae/K1dmrJWQen/jkL4YECYhCg0Y0Bx9QTNakmIukLHPgQ50MJAKJuuBpFR0igI9ki9xHNlFQ1yHlGgAoMhk/n8dSYiTIHPnq8O399TceWnz9PRSmiT01IdV1SA0HoywnzjVrB3tcdNLaue1v/3/f+Y+7tTIDB8ZyluVSN0oVufVMzoGMfFzoEkuOhVs9PgSI2NQEUPfaf/77E4iUGVgcrAK2w/VjB3/kzof+8LPrZ88cfdN98xs7a8fWmnkqZ7ekmiNluy9cms93llcOLq4d3rh++caVW+//lV95/tGHD6+fjnm68HdfrqrpyWO3H3nN2fl0o99dvHbpRVW2j1+42h2oc7efm89uvnJ5Z3W127RNXU6TqMzpk2fv2ZlsxWmVhCezkQ66u9ibltNzd5y2+ULeW1V55HLZHcrQg68n+PDPfdIypiLhzBPlkAVq6kQQIadmDq6g1BgkBaIBpuIgNFE7AXCiy1BnkY1WbFmF2NoClU9eEZKEKiUV835spnlK0+TqUcmgrXOEseXkOnzgkD50slf7cXODblwpb+4tJNVmKnbyaFCyvFNoiQsrWTvFGKLJDCVCmk78UsaMebKqf3BFw45OEtzS+kc+9NDn/q9vfGl1Z+cmIi308vUzr7nwvec6WeMOHbv9La+/9OBXb7y8ORgMjxw94SGUZenm49Uzx9uJrL3u7t5KUWTq1e9dWz9/spnWt557GTGu3nsqK9zk8rbO8NGvfGn/+nR5feX20+6pxze8TxhixPaHO/WTZ2+7fmUjJuNThQv91U62vzMxEPNOT0DQ8t5u1ev2utlgsr/TguVqvLa66H3Eb37855iTMy5VJSAGhSoj1bSYbBOBCqulVhEyzXWriRJEX6MDtmASQ4o2y6ZtS5xrLIFMCJlzsQkVYm4VCCBHFt0SQIixLlmZpNAGqUKIiVrPEIQNZwKWQlDWZobQWqjEZB1WKnOMKSUZSlPqPNq8i2VF1oFu5lVMcemtH+hf/XI1PM133Hbq/iO//rO/11lcHm1Nbbc73x6f/dEPPPPoV5jcbUfvHE+unP7Q+8fffvGFZx+94/7X3trcsCV7U/vKVk0pbV5LeeBoced7fmzhcG/7ynXntS4Gr1x8votu64VXzKIpp9sri3d113rf/psv9Au9dngtM8l2Oy++cFloEMpyfX1la2dzaXHFh4oMaRRE532jQCIZNiYH1cz8uBojuK7ihdUD+MjPfQJCKkl3wENdo1EeUbEohhJshkGbbqrnOsuhrhJJMEViwKaqC20aEE0mxdBZpTCjNkZKhNiizpsqICqMSUyhU5XlWVV6EIgoUUAjJl+Ck9hqD6gjmE7kmk3HQWKmTJgMBE+YUZZCMA7FZF271JfNG41ySoUmaKNC8Gdee/ZOky+bL/357jt+9s6r26M/+/dfP3Ty5K0XNgSZWd/15jf94JGH25DOvub+/au7aq1z7g3Hv/4nX/C20L4ZLC+Pqt2u6mSDbrO7eerI677z0vf7xfKi4Vuj/aiwo0goZSYfDnsFpibPZB6quLe3tVsG7tpBWc+1M2gMpmptaSUBT8ZzBB4eWs6DSlyzNfu7pXP2+PL6ze2rCfXh8+ePnL/72sNf2Xh5F7/08U/gvGmjDCkScaUcg5KytkWWYpMFiWhtQU0TBKgQNckNNmWkwnKKWtnYgtF+XqJyWjz0OjArIXNtHY1zCTyR6micl5UyJrXiBa0F8owKYgwBtYsxIaFwYDYpGqdL0JgQtQEVKYKRH/4eGAsDgZ1RgRga0goCSxPI9VQz2v/cc80/++8+eHFDP3LhOWp58dTg+nNba/1uf2XFHb9jf/TCrWeurR8+ufnq9asbOz/+qY8+/pWHsMtUoslVZvq2GHQGdnz1xmQ+biBMJk2WZW1qXCsJ+OBS9/TZ24fH7njxW1/bnsWVQwfWDx7sHey7heFsa8vvbm9cvN5ZGNSzclxOVG8Is3prNAFSylMI0/WDq5u39pC10QJFFqYNWIBGHz1e4N+87yOS5VKxgqBT45VxFiQAgxJIqWmUKTIKYpUvJViDhNjMgyvAJ1LWUGxYZxAiZfxDvSjXKu8ytTSptREULSmqxLWhGEUHL5lFbbiubJZVUUzrHUBApTFFVEGUVoSKufbJ9BQ2BIi5jQ2QJKskKpM1KSgvAiJCIuMSWNLFSXn6zR993Sm//+r1B5/cPP3xn33+wWfC/jXnOu/48bf+5d987/ZDq2g8TPjqzRduboTz737bU1/9Yp71soVO9BBjs7+5Zw8vLxdLblmvdAZVvVffml7f2OoMcxtdOWmTlnf89Mee//pnt7ZnLevcQC16eaX/1l/++W/83h8p5JJb5raztA77M7swtBx10d3a3gnjyg760/2dvMhc3mnb9vCh9Xo+aitNYrqaI0jJnDxIDE2TsGbwKSSwSTKWNE/gPSQNFGuOISjtk0WWCCmxRdFtjCFWgp3WoCJuQp1m2CaFkWulQvBN9NgkilGUgpbFB0CXmkoDOOewyJioQeN9gJxYkfiExiK2KWAmsZ03mdEozEpjgmSopBzQJJv5KLowPYv337n63a9+cX9nc+Ges6cOLpwbLt+4+HxivXzuwN99/vHXn14c39jYednPoip0fvBA7+ozL73/0x+99/3vuf3cA8Y1lFR0td6bTkavXH3mlW89/P2nn74OkOW9zurSAbAyTuNb5Wh0s06Z6XaCLThZ0aoZ7e185jd/97U/+cH9Ommgpsa9W6NxUnUbdqr6lUvXqv39hNGX1WChe+TUqTte+8ZiSV3ZmiW0Bw+v4l9/4KPMANwqQ0j92EwAtaSgATgCKy0qOoUmqtIHxYlzG0SZthZrWOdKABPXk7nJRZyRRKg0h8Sx1UZZIZ0CDgovCSOEEJIm3bBoSKINsm5DQK0zYLQAPrUA6EHnwqwSK8YGWYwiXeQmUVVxniNDbAOR8W1jXaakagISJuu6X3/2xqh1//SjbyhTcb04u1huPPXK9aPv/8Bf/86/OrpyW9mOkKDorwxWFmd7e7VkPU1La4vPPnfh0IG1yf7ozPvfNnr6yd0rN/ebAEWmAKezdsl4k/XndVWHyTt+5hOd2PvMH/+H248fnGKZSpq3VeYM+2ZWmze86fzzzz93aHV468ZORBHQymLX6v15RaJRYRZSS3ZhZSH4ed7tKB/m0wa/8IGPMySkCG20WnmniYHmc2BsHOpoOTViLOaZmVatiOlQVWGusEWVSMys1Z0C6kmbZYp0T8IkQk5UQspESIyGRCzRSPBsEJkcc5MEhEEnEYygSOk8AVNI4kw7b02OHMkV1ldtJFIGO4x1t4uzZLEU2xGhkJPbnyaDWqVmCh5TZ2k5c9WxY9XGCwsM1K69MWa6V17eumVW7uG9zZh48dJLlwyo1fXiq9+7sLh8JO3fcsUq67Yc1QvHlnO2V3av3nXb2ZG/tbxwcOGO27cf+9atW41b7i4XWTlrX7xyc2nBGJcrY6Y7O/PW66SCCiqQzTDFTpCJ6Ozee088/9JVDEEVeWqS1A1rVIpIbEbSKiABo03Xdglr/OyHP6EqrxAkD8ojQ6ODjTolMMgeopbkMXNEECcNZMgJWHQQnSF437heBilxElFaiQfTV20VpE7RWc1Bo1WkQUIMGBmU8oCGMo/RBp8CikEdAlgbOKiiK/Vc205Tt05LAmgx08CakQBAsyVOARowGhQZgugZmDAxB0lKScwWh0VsWZqWjVbDTse1EF0zix/81OZ3LxS5trc2uduf17zCGwv3vfHlF5/q5C6qJanqWzuTVrsbVzcuXttaHvYXblu5+ewuWVrs08bOpKwSKxkUbrK7Bbld7BZ15HP33PPKxYtQzgJIgaRsB1LrE2ZFN8Syar0QBQ+LC70IjS85AYNwv1MAklZQ7ZWrh5fxCx/4GFBUIYHrwXxbq66HYA2lyD6JSYxZHrzXSpra49KxcrRpjM6J2uhtFLaKm4CsglOYGwqOwwwpYBBR2mVZampxVjvrq6lChXUAJ0qsJwtlQ30bm5Y4SZ5h06SojEDqGWCRICbXFFNggRgZsDCdVieqPCtDGoVUDhBC1fgmy5wxkJG1lhuv0ECYcf/8+ckrl2KqsV0zC91yPuuoKdbeKPH9tdQ0q/e/5dXvPuxCu3znfZiZ688+WZAamfxm0OPre+NyXu75mUPdt+XutLAZp1ZCWHR5cH5eY5ErTlL0utXenKlGzhHrGnNBtZJTFSSDecU5+9gZmlBCyz4bdqt5q30blc61Wl9Zx8+95+fYiGoqzExqvCGORmmg1KakC93ppfG2ILLW0LR1sEo14IFyhEgsFgpODHlkRgaBpFLr2YBpY2tB2cz6mCwHzLIIWuqyE4LvF0LCaHXbNKS0MgxMTZsyUjNklRgJKWHCaBFmkTKNpGJoi04vCkUMxqdGpMvQaGu49iG53CrfaO1coVgisAqCjl3DVaulqXD1nT8xeuJ7Xa6bqi5cFTwGMhbz4Z333Xz+KTUa66K7dOc5Dnjjpeczlnq4kqR4/saV8+fP3vahN9740kP/9WtPt4kVqhxsK40x1NYNiUSTr3SL/f0AVBJY9n6uZJB1WmZu58tLKxia0WSKmdakSUIExkYpS84ULiP8y/f9fGowU5MoBq2hGKD1IMAqSS0YiDoEAl4QUztLJkux6ThXNRGdsxJTIm0ikmpa5pS6HYhetykRpyRgMhsbZSA2kArr8oKrMYEF5yjOY2uijhqk9UJiVAGgdJzOtckZU5xCylvMcpXIN3WHJOgBICAFFEHvUXeijtwEhYlYOo4EjSJK2CLoCApDRXZYRVk4e+fo0itYj4689v2vPvplt5CFtgHTddyEirPVwfLhEy9++3FCPVhfPnjuVBjNr2+82ghRO3vXv/6tz/yLP7h08dpPffzHurPn/uxvN7pabcxKI9IEtkbWhrmqoxSdURV0rqiZsmTWqcVOBoCj/VleFJvbu8oVhDH4RIWo2ppcYtu2CfG/vPcXuPZSN2IjKExCzjMoJuq2MseUIM/SvCEGEShLpB6mpkJwaG1KEZUCqNl2YNwqZEpJhp3YiJbYRoAclFCWfKIfmgZiLEAL0RSmCWKdVFPIXRO9SxJ7HUpa/Eg4g4apo2NVisqUcxSnoqyxvabyJsMICZNQlpfTeZ6iAFpHylkkcK1vkbRPjUIIbTIOFhd4r46+IiUMHUIwFNG3ZbejZ1NiTnbRxPYtv/zOB//z1zhR20rRc3Ey446pajbDA//0s//w/3z/v0Kl3vb21198dcva+v5z/a99e+fsB1+7e3H80COPlWPpOVXkGWqTQi1Ne/DIggjatoF8UNaTbr+LJkuNv3x9czwqF19zonphQ1nbhIj/6W0fxxREIviWnNM58KSKyimDflohgUfs2Y5vSq6DLHWqvZa8Tx2CQApEF0WKNYMG0Ao9RwqqMFj5efSQOgMXS5/bDFRLiUJodeFCk7TWKaG1NtYlCrKikBvrhZ2StjG2L03luVWgISJnxmhkq4Vz9HOCKCZPmZb9OVkJqLRPvW6RY6WQyGoS39akVahFOy0VOI0a2yk5q+ZsV47V+9d0LkohW4u+ydi2zL7tH3n7A69+5yGJ3Edu0bKWJnAC6i/cdf5j8Ru/96JRvfPvuvuOj7/n2uXxi5/7PM6m2427/2Mf8dvP8Ks3NmedJa4qr46cXiyOutEPLpcz9f0XN53VwwPLC71ucDC+vPX0lVvJGyVq3lZoe/jgz/wyV0Hp2EjjgiSjHGYiU2SbQoAmNbm1FrGsonW5Aonei1UUQiAlHDRapjoFZzINyUfHio3RXE/JYMk6d5iSzlySGIWsJVQUS5+Tr6IyzoHULWYOdKo9dFBIZSrVhlRCUspFTAABEijI2oWBHe/H1GrAYReSMmxJR4lJNEYwfZag2StNGJo2LywqiZqw1NrWMTO6IU4+W7JNwyZACEgq5ktaGq6nzG48P9nv7yicklWSBIBJQisYSnTDE1kx8nWEKhF0k54a6jLNTGGxjQpKNgu1Wsmm13xhaN5AnjmcR11g7mKK5V7D0FNDchacs2Pm558Kfa2feu5lvPSbv4mTUeBJTMbEGrQYhKitbqrEwMopTpqUGOFZMH0KyaomxLyAtkLlWDg1M6VJcE1kblIdaFFnZRTCugUU1elGaU3U5Bhdh5o5Q0OSi1UihpzlZt9kOYNVyUNMoFJCkkRkRLTDNqEhYGIwYiquURedxFHlQCkHGCtlImMKhnJlUYtmgFp0h3zNqDAYxkQcFDaCCqggaZLJQBQqFokACIoIiNs564NsNMx30RaEVvTIRhU8iw7iM7zjzXjtO5Ii00ClbUxdhQ1kRmyO7QRNmlVFRox5pDZPuaKQlAaGhMYJVBqyBMQMLFrZIBElJcoMbv32f09h5iWx7kjNqtOV+S2VKWENKQMokaOoDiCjQSSH1USoR+JZIhBK1AlajRKTJkMYY7ILFGtInlyepCbqKqqELGhCbRUE8SgWiVtwlMpkO72UWkytUB8QgRNpTGAglsYklg6ST96oToBaJQlkKBkHEVDHzCzV7ZRURLeMcQxk0bGZ+9AtsI5sIrTASiEGqC3qqFUS7hKEZASxAJySN4FEkFA59gIugdW2rgMuIO6KZCgCkSXGpHsoHpjRRpSAWKSUlAQsLECFXs1Klw1YVSwdQg/JKYwtggYbSeeYKhZhUDr2JU8YMEGrYobbv/s/KZURVxH2U5WxSoIZiCBMkQeYPGgEzBAr5RR5QSRPjQStI6csx6jZVCox6JUQa5OiV6RQY6gBCCwCsUHLyqMymIh0QLQtewDr2hA7BbQTMUOQOYETLFk6CkvgXMQrQ4IZe5OkUQYlS+y1Mg54huISggkCwqCsGIc4ZrLkkJohUIXgg0dExZFZE6ZIKaGxEj1ZEN9TRjhJYiZKgAGNFTQIE8Qet1OQPIFAQiRgH9kitBVyTgaZAY0GpZRjrj22WSpYKWxLNrlG8REIVdBRAXEiqOuQG0WYmDpaC/iIZABKIQXQ0VIoRI6NRzFkVGKVfCNAQAZJDBAHEQ1EBgSFhVEAhopmoB0oAWKSLrMnaJVE0YXiQJS8PeRwnBQR1IESMhgDSYECnXxQFgJI0CKcxHSJArZKbBlVQYkDO0xirE4tMQlmmfZGZEs1PZEWMTIUkhCNEW45M5DG7HNNHdB1ajJWI52GMQGZEDkDNQpNRyNpxT4pTF3fzDFWmAQjMbFyDMkmEKJkYhEwSsoYiXTFoQtRoRIODem+RIWJ0bKwKJN87cgwExFrVp6kAN5np3Ub2WMikqZGo41RiRCSEs9skFWmmNho4ZpoqFMVQaNC60GUsoQIRCItcwGcEBtRRERMhYkVaWBIwHPIughexxqAQGWACYQQJJDCVKNH0vto2EoVMMM6sjWpAaIqUUdUJkpTXSIDQhBOFDDaAI3SOsakSXcUThL3FM/FVhKERaPuRgYxvRRAxSoZgOCT0uIrVD3rog+N8h2hFi2HugQD0jjRgUqrLbHHpiE0jWIreoHTFBMzkyiAUqXcUqxZVUEVQhEjkyElGSvi5LVSyheiG+bcAyOhooRsFIGwJhtRWqyNziqCvrRzEaCoIyWKmaRI2BecS+RUSKhA2xgl4KRlnVF9U0szY7RROzA6Uk3RoHOSnPbbzAXrwrqaQ0PYCnBwA5WEQhBspAUQiy5KGwPkxkSOCsMUTAQvCg3UEgvk5Ek8tI6VAEQkibSvMaOkBA1UAl3FEUAsKMs4VZADzBIp4UCQc8wU28gU2saCAuWZKUCmYyUCxIwOwVNbKeBZ4sSUsYHoK8UetGVhCX32pQoBqIPRR8VYTxOogGA1sKeUPIMVSiwZ+yZ5RaKYJqCcxiZ5AEQBH5MDVSNbLLFJwcIUoQtZw8kQ1FgBdBBQuAmIzIzMJLIQQamwkcR6CSgjlAL8iJXRErzqmVDhtf/91zxrq0qtCii6SlfQWlFNdM7M55yKBAZ8JVBr1IwMWkRnKjRIOfoZoAm2pyXEpkFBBEq2j2EPOWNJRMzYEhaQGg/OGgW+hgwxWlQRDURxlEglj6qNui8xEtdEBjSJr0F3Q+NFWRUTM4uIYDeJB6VBIgRW0CTsKyhBADBKMsBtUlZRFkMJ2qUohDn6UpyBUDNGnRAHRVIDQkPtlNGCtQ27DpcJBVDDdOR1Qe1YALTRYEXa5H0eplsJHbZlpC6iMrZJ0To1D8rECBSxFkBATpx8iymhr1jMLEByDoExptbkMdTUXSTxYAk9tSbTXgZkdpnzJJ6Tbjlz2kiWNKPW1mONYd5WkffGVZZRQHAIaUKKgEdgF0UqFlZSpkhsLLVzND65LPlI9YRtz0xnmFeSLZk0r5gYhSxJBJS5JgVcITBiUk7HZlM6fcGOqnbBR6+yQDNfsYQpEoowYExxStbZMGvJISeMmabtvToaB4qFjcV5HWJTJQecks6yNEuRyeoYghfNirSmhb6gjlpZNFyGkFHJWo+1TVWjdWRfa8OEgr7WxbCZjluK8/3dV17db6xr62BVKeAbD7vTWR2cYp+Mw7qUPItglQkDJsqURpiEmGOLuR4u9voLPT0cKA/5ctHtDw7dvdrvx9iAVmqGSUOSBJjSjFKAjDCBykUIVbQxkJHtljp+d397Ks5AUAQNks2S2qOkklSaYwhABbFaVu1eldgwsFYhNlaJDk2h56Q4gUms27bSWYHktUfqFCgxE8BYYi68GUQzVz6Q9qkJrYzrJohxOfnkCVQ7A90zHCKpOpDh2VZKuoogSUKMmgRYfAplosAWebdxfZWq8TQGSn7WkNb9nNaWq6XCmuXlKCFOx4RajMYged/F/iJc3xl0KQQQLdqGquHJ3t68Drf2W69VbOdm0CcfUNFgeTHsz1llOcLyobVsfRiDt50F61LWLQBS73AvKxaybiY5LthOGRprbIzSGS4fWM2R65AbjeIpWjANNKhNI5xSLAQdAinnBaxu9yGzaRCsp850fvGKjFulC6BUa00OYhSTKGHWoVEJuYlVEN9ChjoQtk130GdfKwWSO8OBiCMQ1lPUeQDleGY4kxQWbNtCbqJUvszA7lOb5syZcDSguBbUwQSOJgduWWkrodKYIjmA1iqJaDlpTGgpQiKsfdkmzLUSHwQ7hWLKCI1QsgqQ23mk6uLVSGJUMJgbiGJ0hV2a3OhaDQXZJpUtzOu6RGyBW8AuaOpJ//ggN/ng+MlsfdV1tMlcRLR5kX7YatfxEB3FkKBbZMo4RZDZglWKaLqN10pJO8+sUgrbZI3VmvMlSVNgA50BxA1xaxgj8FxkmHwE52i4glXrsNYHUlZ0XG98eSNeT0CtCBrtLHCrtYphRuR8M1NGg0GtuklJ5qLols2CURUmAQJUHpQjcKVBKVshEgmRtU9oEoXKUzaY12WOMLVdw0x9lftxTYtoSysEgVVf0rwxuTWi2HhUeVVFH1Xs5aryyhhdV37QxXkwmWmAZhVaiQjEyhmIWqKgCaXXHcjqVFakXByHxG0Me7VQ5rnk5AaOTEdv7Ve1oqaUiGGt31ty1B8uDI+v90+cyAYu6xSJlAZADpIVnOYENk86InNIQSFASjPmfpOm7HW0CceND200uzvtuFg4VEzmI41JSIOQo7ALONRhnBRocgkjeSeEhE3qM+VK+/WUV6t92+nNDs3TKzdoMt8H7GKmRHTmcgw1ai0IkrKAyWjBzEGrLJRgdUy6C6HUg1jPFGpkJg1MulFEIUaPHNskaEG3oBG1AWFjLLbBdigGY1zN0cQQoav0zCYJmqHT52lIMMPCOQQwymgM2ioA1e3AcFltbxWZDuhAEggbIWd7mFoVoK6TzXStSOWKygDJZzpUQgESQ7MhjqeFdMN8klB8t9tBlMHqoHtguTh+grtdzlwZKLOmLes5Q9Fw2WJuy2oKMYxbdGlaUZ4R+eaJsWLMl5fLsmonZVO10/F0uhskhNH+SBuwkoSTA2jRMHpE10s+o/l+XF/Vs7YNxs1r7AXqdSjTJNQ/sppVzXK+vznqXdqI3LDONfuaUaOipAykmCRmSnFrdHfRllvSBFCqcjbc2ssOLLXjfWmJc7I+koGgcyFWxOhRoMlcBiBkAAB0UMEYNJpjnZGNKgOJkSwr6xQBIGiPrAx7AiOFNpGzYb9NMc5K2NlshQERRWFWqKqBXCgwJeVT7ZY6ZVVZEd/APPjM2oRUB02URxYdKIVR62GAzjubCSwvQ399ITt+JnWMH9fVjZHXLs5GvuT5LEqYNzZvNm7F1o+253OOSqSdVwHo3IobrC4MDlXG8nxnXM2aeZJ6zvV8xKg1qCSmL2muAWLpJTdUC9Iuuy7t3BINmFR0WlWATaIimbV+amzmfFUcPbpUDXujVzfT9iwgWK288mBs9FGcVXUS25aIiRoIjrJQJyj00IXZTEwuNlFMZCyLqITWgI+6cEBKtQQqIkkGKkStgFvKDYhDCgoZ2JjUJIhkFpsIDkFrp40JwoYAe4tQzXQVC2dDf2An05TYkAhHxtghh+IJGYq8nCfDKuVmXidru3VdBxFrfKUNcBMC6YWerkP0vm8oH3ZWDvU7h45ASjALcVTtXdu6/MIrkwmwgunuvsk7VTUFlSlN0rZRIoASTJSidotWpqHMwPvkeXtjFIusKSutIDW1DlJo2QWNUSxYCxx88pkiZGbtiDwQMWlklUJJU4UDZfOOOHTVBDprA5vuGZR72/H5m20ZtE5BJSKKTRL2GrOeAm4WdIE2xAo168Z4aJQOSiQRN6Em1pTbMPdUaDY5K+NCzZqTqo0kZmUoC4FtVatCN0g6NaytTmykblsJomL0gOIyDU3rZhMACb2sGc1FpgpRfLJ9C21rsz5QxCKPTYkN2kGMPgPB3KjZzFeEmEwbKEhr1IDDNMwSuTwYaRGdhO7BgzrHmOpys57e3H3ye89N9stkbAytMNaTXTIqxrIgh12yPueUIEWX9zZuVmsHF+az+cbW3mirlG6PpmVkaCV4hP8fnEoKyITqBzAAAAAASUVORK5CYII=\n",
"text/html": [
""
],
"text/plain": [
"Image(mode=RGB shape=(128, 128, 3) type=float64)"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lena_180=lena.rotate(180)\n",
"lena_90=lena.rotate(90)\n",
"lena_90"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Rotated image is perfect for multiples of 90 degrees, but for other values we must care of the missing pixels somehow"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n"
],
"text/plain": [
"Table(len=1,titles=[],data=[[Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64)]])"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Table([[lena.rotate(-45,mode=m) for m in ['constant', 'edge', 'symmetric', 'reflect', 'wrap']]])"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/html": [
""
],
"text/plain": [
"Image(mode=RGB shape=(128, 128, 3) type=float64)"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lena_10=lena.rotate(10) # mode ='edge' by default\n",
"lena_10"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Hash and Distances\n",
"\n",
"Two methods to hash images ( Average_hash and Perceptual_hash [described here](http://www.hackerfactor.com/blog/index.php?/archives/432-Looks-Like-It.html) are implemented)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"0x1e9e9da9eba32e31"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"0x99c6542d7533a696"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"0x9c56 0x990c6f56d2d3754335a2996668aaba4b36a9"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"h(hex(hash(lena))) # uses average_hash by default\n",
"h(hex(lena.perceptual_hash())) # both hash methods return 64 bits integer by default\n",
"h(hex(lena.perceptual_hash(4)), hex(lena.perceptual_hash(12))) # but shorter or larger hashes can be obtained"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\"distances\" between images can be easily calculated from the proportion of different bits in both hashes\n",
"\n",
"note that a distance of 1 means \"totally different\" while a distance of 2 means \"inverted\""
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"Lena | Dither | Gray | Negative | Rotate | Camera |
\n",
"\n",
" | | | | | |
\n",
"average dist | 0.16 | 0 | 2.00 | 0.72 | 0.91 |
\n",
"perceptual dist | 0.06 | 0 | 1.94 | 0.50 | 1.00 |
\n",
"
\n"
],
"text/plain": [
"Table(len=3,titles=['Lena', 'Dither', 'Gray', 'Negative', 'Rotate', 'Camera'],data=[[Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=F shape=(128, 128, 1) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=F shape=(128, 128, 1) type=float64)], ['average dist', 0.15625, 0, 2.0, 0.71875, 0.90625], ['perceptual dist', 0.0625, 0, 1.9375, 0.5, 1.0]])"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"images=[lena,lena_dither,lena_gray,-lena,lena_10, camera]\n",
"adist=[\"average dist\"]+[im.dist(lena,Image.average_hash) for im in images[1:]]\n",
"pdist=[\"perceptual dist\"]+[im.dist(lena,Image.perceptual_hash) for im in images[1:]]\n",
"Table([images,adist,pdist],titles=['Lena','Dither','Gray','Negative','Rotate','Camera',])"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"Lena | Flip X | Flip Y | Rot 180° | Rot 90° | Rot 10° |
\n",
"\n",
" | | | | | |
\n",
"dist | 1.06 | 1.00 | 1.12 | 1.19 | 0.50 |
\n",
"
\n"
],
"text/plain": [
"Table(len=2,titles=['Lena', 'Flip X', 'Flip Y', 'Rot 180°', 'Rot 90°', 'Rot 10°'],data=[[Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64)], ['dist', 1.0625, 1.0, 1.125, 1.1875, 0.5]])"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#Image.dist is independent of the image size or mode, but does not handle symmetries and rotations by default\n",
"\n",
"images=[lena,lena_fx,lena_fy,lena_180,lena_90,lena_10]\n",
"dist=[\"dist\"]+[im.dist(lena) for im in images[1:]]\n",
"Table([images,dist],titles=['Lena','Flip X','Flip Y','Rot 180°','Rot 90°','Rot 10°'])"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"Lena | Flip X | Flip Y | Rot 180° | Rot 90° | Rot 10° |
\n",
"\n",
" | | | | | |
\n",
"dist | 0 | 0 | 0 | 0 | 0.50 |
\n",
"
\n"
],
"text/plain": [
"Table(len=2,titles=['Lena', 'Flip X', 'Flip Y', 'Rot 180°', 'Rot 90°', 'Rot 10°'],data=[[Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64)], ['dist', 0, 0, 0, 0, 0.5]])"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#However, Image.dist has an option to handle symmetries and rotations by 90°\n",
"\n",
"images=[lena,lena_fx,lena_fy,lena_180,lena_90,lena_10]\n",
"dist=[\"dist\"]+[im.dist(lena,symmetries=True) for im in images[1:]]\n",
"Table([images,dist],titles=['Lena','Flip X','Flip Y','Rot 180°','Rot 90°','Rot 10°'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Canvas and geometric transformations"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n"
],
"text/plain": [
"Table(len=1,titles=[],data=[[Image(mode=RGB shape=(150, 150, 3) type=float64), Image(mode=RGB shape=(150, 150, 3) type=float64), Image(mode=RGB shape=(150, 150, 3) type=float64), Image(mode=RGB shape=(150, 150, 3) type=float64), Image(mode=RGB shape=(150, 150, 3) type=float64), Image(mode=RGB shape=(150, 150, 3) type=float64)]])"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"images=[\n",
" lena.expand((150,150)), # centered by default\n",
" lena.expand((150,150),5,20), # dx,dy offset\n",
" lena.expand((150,150),-1,-5), # negative offsets wr to lower right\n",
" lena.expand((150,150),None,0),#centered in X, offset in Y\n",
" lena.expand((150,150),-1,None),#centered in Y, offset in X\n",
" lena.expand((150,150),0,0).shift(3.25,2.5) #and we can do SUBPIXEL shifts !!!\n",
"]\n",
"Table([images])\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
" | |
\n",
"
\n"
],
"text/plain": [
"Table(len=1,titles=[],data=[[Image(mode=RGB shape=(130, 130, 3) type=float64), Image(mode=RGB shape=(129, 129, 3) type=float64)]])"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"images=[\n",
" lena.expand((130,130),1,1), # 1 pixel border\n",
" lena.expand((129,129),0.5,0.5) # half pixel border ... can you see the difference?\n",
" ]\n",
"Table([images])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Slices, composition"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/html": [
""
],
"text/plain": [
"Image(mode=RGB shape=(128, 128, 3) type=float64)"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"face=lena_original[246:374,225:353] # images can be sliced . Note the first coordinate is Y, then X\n",
"face"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/html": [
""
],
"text/plain": [
"Image(mode=RGB shape=(128, 128, 3) type=float64)"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"eye=face[3:35,-35:-3] # negative indexes are handy in some cases\n",
"eye.scale(4)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/html": [
""
],
"text/plain": [
"Image(mode=RGB shape=(513, 513, 3) type=float64)"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"left=lena_original[:,0:256]\n",
"right=lena_original[:,256:]\n",
"stitched=Image(size=(513,513),mode='RGB',color='white')\n",
"stitched.add(left,(0,0))\n",
"stitched.add(right.shift(1,0),(256,0))\n",
"stitched"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Image Creation"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"254\n"
]
},
{
"data": {
"text/html": [
" | |
\n",
"
\n"
],
"text/plain": [
"Table(len=1,titles=[],data=[[Image(mode=I shape=(128, 128, 1) type=int16), Image(mode=I shape=(128, 128, 1) type=int16)]])"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Image can be created from standard Python lists and iterators\n",
"# colormaps can be used to generate color images\n",
"from matplotlib import cm\n",
"a=[[-x*x+y*y for x in range(128)] for y in range(128)]\n",
"a=normalize(a)\n",
"print(a.max())\n",
"im=Image(a)\n",
"Table([[im,Image(a,colormap=cm.nipy_spectral)]])"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n"
],
"text/plain": [
"Table(len=1,titles=[],data=[[Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGBA shape=(128, 128, 4) type=float64)]])"
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mask=disk(64)\n",
"Table([[lena+mask,lena-mask,lena*mask]])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Filtering\n",
"gray level filters are automatically applied to RGB color planes and results re-merged in a color image\n",
"\n",
"Filters can be:\n",
"* those available in PIL\n",
"* those in skimage\n",
"* custom functions"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n"
],
"text/plain": [
"Table(len=2,titles=[],data=[[Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64)], [Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64)]])"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from PIL.ImageFilter import *\n",
"pilfilters=[BLUR, CONTOUR, DETAIL, EDGE_ENHANCE, EDGE_ENHANCE_MORE, EMBOSS, FIND_EDGES, SMOOTH, SMOOTH_MORE, SHARPEN]\n",
"lena_filtered=[lena.filter(f) for f in pilfilters]\n",
"from Goulib.itertools2 import reshape\n",
"Table(reshape(lena_filtered,(0,5))) # nice way to limit table width, isn't it ?"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n"
],
"text/plain": [
"Table(len=1,titles=[],data=[[Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64), Image(mode=RGB shape=(128, 128, 3) type=float64)]])"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from skimage.filters import sobel, prewitt, scharr, roberts\n",
"#demo with all filters that need no extra parameter\n",
"skifilters=[ sobel, prewitt, scharr, roberts]\n",
"lena_filtered=[lena.filter(f) for f in skifilters]\n",
"Table(reshape(lena_filtered,(0,5)))"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"ename": "TypeError",
"evalue": "() missing 1 required positional argument: 'i'",
"output_type": "error",
"traceback": [
"\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[1;31mTypeError\u001b[0m Traceback (most recent call last)",
"\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m\u001b[0m\n\u001b[0;32m 2\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 3\u001b[0m \u001b[1;31m# select regions where red is less than 100\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 4\u001b[1;33m \u001b[0mmask\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mlena_rgb\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mR\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mfilter\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;32mlambda\u001b[0m \u001b[0mi\u001b[0m\u001b[1;33m:\u001b[0m \u001b[1;36m0\u001b[0m \u001b[1;32mif\u001b[0m \u001b[0mi\u001b[0m \u001b[1;33m<\u001b[0m \u001b[1;36m100\u001b[0m \u001b[1;32melse\u001b[0m \u001b[1;36m255\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 5\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 6\u001b[0m \u001b[1;31m# process the green band\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
"\u001b[1;32mc:\\users\\philippe\\develop\\python\\goulib\\Goulib\\image.py\u001b[0m in \u001b[0;36m_adapter\u001b[1;34m(image, *args, **kwargs)\u001b[0m\n\u001b[0;32m 101\u001b[0m \u001b[1;31m# adapted from https://github.com/scikit-image/scikit-image/blob/master/skimage/color/adapt_rgb.py\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 102\u001b[0m \u001b[1;33m@\u001b[0m\u001b[0mfunctools\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mwraps\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfunc\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 103\u001b[1;33m \u001b[1;32mdef\u001b[0m \u001b[0m_adapter\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mimage\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m*\u001b[0m\u001b[0margs\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 104\u001b[0m \u001b[1;32mif\u001b[0m \u001b[0mimage\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mnchannels\u001b[0m \u001b[1;33m>\u001b[0m \u001b[1;36m1\u001b[0m \u001b[1;32mor\u001b[0m \u001b[0mimage\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmode\u001b[0m \u001b[1;33m==\u001b[0m \u001b[1;34m'P'\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 105\u001b[0m \u001b[0mchannels\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mimage\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msplit\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'RGB'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
"\u001b[1;32mc:\\users\\philippe\\develop\\python\\goulib\\Goulib\\image.py\u001b[0m in \u001b[0;36mfilter\u001b[1;34m(self, f)\u001b[0m\n\u001b[0;32m 701\u001b[0m \u001b[1;32mreturn\u001b[0m \u001b[0mImage\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0ma\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 702\u001b[0m \u001b[1;32mexcept\u001b[0m \u001b[0mException\u001b[0m \u001b[1;32mas\u001b[0m \u001b[0me\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 703\u001b[1;33m \u001b[1;32mpass\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 704\u001b[0m \u001b[0mim\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mpil\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 705\u001b[0m \u001b[0mim\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mim\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mfilter\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mf\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
"\u001b[1;32mC:\\Anaconda3\\lib\\site-packages\\PIL\\Image.py\u001b[0m in \u001b[0;36mfilter\u001b[1;34m(self, filter)\u001b[0m\n\u001b[0;32m 1172\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 1173\u001b[0m \u001b[1;32mif\u001b[0m \u001b[0misinstance\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfilter\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mCallable\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 1174\u001b[1;33m \u001b[0mfilter\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mfilter\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 1175\u001b[0m \u001b[1;32mif\u001b[0m \u001b[1;32mnot\u001b[0m \u001b[0mhasattr\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfilter\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m\"filter\"\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 1176\u001b[0m raise TypeError(\"filter argument should be ImageFilter.Filter \" +\n",
"\u001b[1;31mTypeError\u001b[0m: () missing 1 required positional argument: 'i'"
]
}
],
"source": [
"R, G, B = 0, 1, 2\n",
"\n",
"# select regions where red is less than 100\n",
"mask = lena_rgb[R].filter(lambda i: 0 if i < 100 else 255)\n",
"\n",
"# process the green band\n",
"out = lena_rgb[G].filter(lambda i: i * 0.1)\n",
"\n",
"# paste the processed band back, but only where red was < 100\n",
"lena_rgb[R].paste(out, None, mask)\n",
"\n",
"# build a new multiband image\n",
"Image(lena_rgb)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Correlation"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"face.grayscale().correlation(eye.grayscale())"
]
}
],
"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": "3.7.1"
}
},
"nbformat": 4,
"nbformat_minor": 1
}