{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Naive Bees Image Loading and Processing\n", "> Can a machine distinguish between a honey bee and a bumble bee? Being able to identify bee species from images, while challenging, would allow researchers to more quickly and effectively collect field data. In this Project, you will use the Python image library Pillow to load and manipulate image data. You'll learn common transformations of images and how to build them into a pipeline. This is the Result of Project \"Naive Bees Image Loading and Processing\", via datacamp.\n", "\n", "- toc: true \n", "- badges: true\n", "- comments: true\n", "- author: Chanseok Kang\n", "- categories: [Python, Datacamp, Vision]\n", "- image: images/bee_2.jpg" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Import Python libraries\n", "

\"honey\n", "A honey bee.

\n", "

The question at hand is: can a machine identify a bee as a honey bee or a bumble bee? These bees have different behaviors and appearances, but given the variety of backgrounds, positions, and image resolutions it can be a challenge for machines to tell them apart.

\n", "

Being able to identify bee species from images is a task that ultimately would allow researchers to more quickly and effectively collect field data. Pollinating bees have critical roles in both ecology and agriculture, and diseases like colony collapse disorder threaten these species. Identifying different species of bees in the wild means that we can better understand the prevalence and growth of these important insects.

\n", "

\"bumble\n", "A bumble bee.

\n", "

This notebook walks through loading and processing images. After loading and processing these images, they will be ready for building models that can automatically detect honeybees and bumblebees.

" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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5qZY97H0qDQ3qreeXQLfDuxoaZdSmxC2RHOSK9/Ogji47CTf4cUAfSVKiloa6GKUfZJM7nngK4cVe8O+TINIe8btaY+veYyfP3xmSS7IISBdrV7NDV/iCNT3iYwgU+6aD3IZcJP5+n5DP2Z4X5Dh5DuLl4Nm5LJ3tsSC1lOnHbjs6CdY09CQ01h03DNlixmqQ9fbb2I0HTiZGTJUUrMAjAXHlvFrGsrxKgzX9mt6Lz+nIutTsO0eSlGWpQeOrhmJpPd9gUZLOgtCyODMW7IE/BJE4A1wtnfPjiZ2H3ePn0E/MbXMmrvGo0zJrbJ5C4CAvJ5AZeFSJeefrD35QJRbo/4IzBtPoWJPsRI+GeFrFr+Il+WXGIs+qcNMae6ZYP9bhGPF2+upgJHluglif3goRa3S7ppZO5FuQZZINwMNq54NlTJ8KHOTmaLyO1XsnWjrHW4KKf56Bha+Wm/UIvk68P+qYiY/3feWdunQJdPzhYDzOXMHUAXyKxnv1cO56S2dvKZ5Nmi/gY6XjYmNz5MaL6dDEIPeNF3CPdx7AgfdLwPs57Q24RIbx4AfnX6a2dAoW4jm+SHhHER9/6M/Eadmd4pRfRH4qGm/LkdeuzUc1ZT2xVtGBZ62/NatLvL0zK9TUoFBorYObsjPvLAI1dmxrU2BQZ6cDVS5KTHszN1b5wayVkqTycQzf56oH8V6ab6D80cu6M9ad6qR2mclPVvczOe0hMcllftpCXPZoONZ/2JjmkqQmZ9hFC11ZZ+nM20l+d3krYq7aTbA09bORw513+og1dtoqdu/CZbC4nQfhDbxJx7rEP0812pCHJv47cYN4sn1TdvhWo3DOGmcFER/SbZQ19koScu/v/KkeazOL6rmXXg5voDdz6/LUlJW+ao+39dgD7KRiX3CLG3EJFgNiL7XG5raBf7Sbi4eTMGmQJOnFJOL87U9Y/yNbDMW5alxwlAoZQaLDU/WUJE2uwH3k+NjCGnv1NJb18nUwhyVTWYf4hx2VX6XQLfUs0NJpUoF7S/ySMZnbEtv6XQUTWtcztiTpwARThFXHBw/FbQd/G70NrKBJHOisgUf7W2N31ycrMf8ecfbjNqzT2iLgI2+a8ZwXP79r6Vx6x7MZHQ20f2lh3rVy3txX8qjGM+nRnqxU/qK8h43m4ekGdiPzUaMMQPu8hCbT5PMFbyLJy7Hq0nCwbl2950TjneKUX1l+rmVPFNWuWol06jeK+U9vNvH3ph7ENccjg8Kn2LJKkpS/JTFujg3EYPG7GOZTr8WgvU1KgpanzAQW4OUoc1zw2uTxizXlPmv7YhGTlAGlXbkV9lfzEzCtYj0raukUGshnJXuPV+C9Fx2fh1yjcm1/SVLq5DssncJXukuSHrbGSthGsOPffktWoc8qE79G8QVVjlVjkCRp1i5Q2+g3sWC+O8kyPHQ33oCrf25J0tbmeBm7GlDqemAthT6lQpKY69/n/p/VwRvYHoP8cV7X+5Kk5wfIJvT4fNrSSXEQy5RkPHhBjfKUcBZd7SNJSpvVsOGStIcz4Bubuth4nyieyf+M64XWwFr7Hrts6Qy4QvmERxvWaW8EntqgMNZ9XmaTM094GeS/1FYwkXv74QPsSgPuEncg2ZEWMUw2IUZn3okyM/Au3vyGp3g3GZmPwJKsU1D5QpZOgsFY/eWz8EQ8BlBs1L4VcfjoiqZseMIU3tkyrqxtgBvlqfHmkBFompzy25d1K1k6c+azLg1yM98Hk3i3C2QCeb+zzfQI+B6GZ9YyF3wN39NgVn0OU/QTkYh/r/1hGrNs7gGOkvr+Go261FgPPlx1WnanOOVXFueX3SlO+UXkp6be8qSKpaMTimn+QECfnd8MgBZ6DWrlwQvQKOucoBZ9zXJcn4IdcZsWPve2dAI7UTQxMz4uZp7WpDvCYgF4hH03dc5nKlAr7v0a9+j9btI2SwNwh1ruAjQJnWbCmhkdID00SI5r23gSIcWVWlB2540AQIq3/IWlk86V+Xe+Seqq0wtctpN50X2XZ6U1dkV10jcjMwG+9L6ICxvTB7ByzGhAye+9DZC55x4g3rp80D4nlyHEaBxKqtI3oJ81dsKy0pKkJMlIDw3/RrqmtSggeRETAGpxXJNOGzsMN3HuVNJnA70JQyYkIIyafuClNfZlXkCkk71JHdUPIO0X6E/9eb57pCzn5mlu6dxoRD38lKwAcVty8XkVs+KaV0hi5rIsM2uVMjcMpQK1CdeGHOO1TbwWwDF1NF9LJ0pmnvm1w9y72zU/SdKHhFy3yhfWfLj7SEtn42ZCrM9VIfpsvgmAHJYbYs7IgRWssWe7Qls9dYMUqB5jLx/OBawce5Xnc8RRCCVJK4fwLpS+AxD6YiGA3a6s9yVJdz68Mtevxb2OOgcANykuJKeXa/i8l6143vu+mFZl82sR7gzotV72CPPO/16clt0pTvlF5KcCdG4xs9m9s65R/sdYIbejphjhXScsRs5P7Jzxl7L73ejDrjrPQbrYN83d0tkYld1vYXV0O3dkh277GprjuOr5rbEltwNwhJamOCRLd8C8rSs8+dw6WIK335ZbOsOvA/JcLY+XETgNS+v7gEaZ/avhbSx5b0gR0e9AyIieHhAyUn5SQGXWAjJF3mmKTno1wpK/TE3HG/8VFFMsykf66+lLfv8tudmt0/pA0qmTFt0nR5lD+xlYo5zzTUqpxkQIIKtHU0jj+Yl1Sb4FL+ZBLopGonebY+n4PoDk8ls2yoc3HsTatUtLgcaarPmssVHvk0Y7GcHfOtYjxTfwBtbnyUKox41Lm757HYowh2ED8JqqzqeDzLGU3OuzW6essYHN8fYafBkkSXpdDC/pU0E8ueIJeJbFT++0dJaNxrIuGQfIFnMRoOSCJdzXilM8q9tPe5p1OgiY2qI93WE2ZiKVuvmsnyRpVL0R1tjNX/Hq4rtD2x7XjLTj+lC8ybkN8GZGHzQU3hk1SdN1dzTT3LIbgk/K77y/ucpVscb2rUh3n8CkfC/XjGC+ngux8EuT4gUcmGnKYr87CnlKlKurfgFrdffmMydA5xSn/MryUy17VM/k9iTjmmtWMnbv/SPTWn9LHEos9cHRA3tgeco+d4uecDcD2dkONDDU0VTdKKU8/Aza7LD50Cg79Ya2mXipaasckY101oB60CRD37Lbjr9LHHW+NQSUlguMztrTUBc/1MHb8LHxt8A2kG3KNsdiNS1q4r8lqaF7hnwBW5j3g+vvfIRFjDfI9KBbswJrk3gF6agpFUjhFb8LPfNRM8gouaIbAsWQaBR05E1D+u91TkgkpzKRnqtX0dMaG1oTL6WfO/Gqe9lASVKk9KT/Xk7E+oR1b2XpxDuN9Xk7g3g81hHudfAcrPTIHAZniXmKzyrWmfTZgQwOb+k6Hkr3rmAzl0qbvmjzFwVJkqanLCdJKliW9ZmcBN0yhx9ZYzuPgZhSsyIpwmuPSfWtEKmqkB2k3H4zFaKa0pO2yrnakKKc0JhCIY/dYBARcbHM376YluGjr9OEJH9MyCkuW5h/UDAGcvlj0+o59jq8u+LroQLfCoJkNPAdnsTqruAi78qbNun9YvIuV/yGlzR2PmnGUwuw6DEemPbZu0oxl99SQgaaEI7X9CCxo+NwML0G3R6YdGy21czpVJxc2le6j14HO0tcneKUX1p+KhqfMZqbNmWsr1rvQSfL9jIElrg5aecULw8kjnYjQGLPRid+apYMKmzrjqbH9rlExOT+36Adhr/AGh3ayw76Mb0hgFSsTUGBfTixdGQX0N8NvuzMu88TU+dtY9DyqFFB90cXJD6uV49YN2wHFvjbPK5xKtlmS2dINpD1ivWJo9pFp5imxSBIFgnaGhT1VhrupeAaLN/IYHb4eDeJ2Z9746m0zBxk6aRqAkW4+zSu29/RoXTqb8w/W11TbnvKgXRfCGKdBqTDK2rRhWvMCgY1nzshpaWT4jeQ3foJsGbfomEhL64GlZ92fbg11tWb12dECjCYciX5ebQxNOLV3SFIvekTz9LZdoK5VChB661H+cgeDBmJRX+R2aDYL8K5txVriKnrnoPElGYBc1h0n99HvHW3dM56854UK8Q70b4bhUlbDvMe3Z/F8099YYylEzEZC1v8rKPkdySeVffuzHHSDXPiT+2reCuRh4NzNCiOW9E+kHW/+YrCoQlv21o6lS+TiekbAAFqTjewgdJ38SAa9PK3xi5/xb1MDKakOGAaa3CwA88l50gITBOOmXe7TXbe7e8r0urExyf6M3Fadqc45ReRn2rZr0e9pkLuhdXDA5S4R39TtPH0HNat7QAKSJYuIJ7PEoOWRueikH9MONg0NyjcHAR0Qxl2vaByIKyDXxFbP01imiMOOY+1P78KZHqA41QRtwhi+B7p8AouHDBnsa3fTZ51VS3Q2FND2c3LJSSv+/4pef72V2daOmPnE2d6xiGf3/gd1q56PXbiYjFNzH77K9dL3oM8/fmYlOFuGUrcVvwCxSerJxvLaMtFOebFFeiGHGR9rr+q7bgf02Szgh3qbKtJrGVzTz7nWHys0bV6WAmX6SYr4tKCWLHcEz5zcxAWatE5xwk62Q0FOdINPJ3ACdzb02fE96trkx3Jl4jP+3h3laWzJRSrX6YfnonbSMacyI7nc7jrRmtsvOlQmHMX4TNnd6CUdldnGlpeakPuP0du0yrrYRNOvWmdgzx+3SucTeD/jSKU9y+xwDfi7LZ0aq3kc55+xVPoPpo5VJ/K50RPb6xlasfxWzc3s/7ll4KL5PrI54S2I9uyu7gp/lnXGYu+yQ+MptI06MP3XvH+pPQx5bYr64ADzSzMPLdcAKc4VZdsRZaZxP+f1pvcfFPHOXzzPbNqlauzxNUpTvnlxflld4pTfhH5qW589E8JlP1cbS27j1t5/JVJE0XUxHXdmJVKsxG7ccFfF4NUc7kTLnrOUEPXvHiYNFf5WoydGw1AZU8nXKkTFcwhgS+akr7Zs40ecJFX4WYf/UGq5uJ1qqD2fTcu86pQqJ2dPdGJMgQSSv9ThCHVluJG3vQ2qbFcswD1plQP4nrN+Nn0AMBO+e2lrLEnhuEuNjzvLklq5Ic7/HINYYh7G1zPQxVNjzLv17iNR3LgEiZoBMmm+F7WoPYd4xK2CgB4e7AElzD5A9zUlFOpY++Wl7Rm9V7VLJ0DhUnFdjoHaFWrBLXc6a57SZLulTTVXEHPA9HpCZ04RSLCmV6tSQ8VjEtK7+t0Q3qZ2BkiTEgwNePFE1BFtqEUIV3b6hWtsfPOQVDqPZrQpEAlgLJDnwHx+lRxAGeJzVFICQvgXq8bQKozoiyVhc9mAQT+WAL4diuSm6UTbTJrWe816b9duXDxlyUAbHVra9bU3oMUbpuxAH+F59G3f/Z73O2IIqRpr76zVNQ2DSSjoznQzTwYQG7EVohe2V7+Zo2tVBEi0bmFgLWbYvIufxgB8HelHc/b44WpJJzyje/RsK9L9NxuwL7fi9OyO8Upv4j8VMse/+N7+Z44pOb9qK/uX9T0eztyDbJDq1GkpmK1hiK6Jy616eOnQBv8eu2epXP0DhZlxETok4PKQbJI4OhOUnSfqUNuUY801sj1WJTjG9iZA2fhHWR2HLjo1svUCc8+C1HCfgwQKe5lCj0W5ICkcu861M8WxUxHz4PPsaadC0JcCTkCgPZjNlbV3tYAXA8v4V0kHsnO7nMO8DC8LN1YNzwkfdQkljlx5nJ7rEPe2VimjT2wXIs7kerbk9pQL1dWBsS5EQwltfZO/h2rFNajQ0fSnOMqG7AnaQYIQjFSQYVNcAZwLdUZnsOgu6ZTkEdfin6KPwHw8/7KPTe+iRfV3BOAcJzjNBNJKvkNL2lcC+45eiEKlBK2B3iKE2hq01fvYoytVBDzLUNBTb1OpPQGn2K9pnScZOkUD4OwdS8D19kwBk9oUmI/SdLI3wA4J7maU15yfaVT0PeMpC/flwcM7jWeQqfK1U0hzIByWPvgyHhfm3wBZG9l5h3J+4VrNStrejWszMwzm/EKktacNKxXmmu8R6ULH7fGvtkEwFj9DWBtnVDmsvwq858QyvMee8PM378a91ggkl2R//AkdcRp2Z3ilF9EfqpljxEps3JEP6T6xdh9tvkNsf62fAcW/UhPYgTK+WsAACAASURBVPfGVRhTIhJU0rb1sapT2sW2dN66Ym38HKfJdN1ACq5GIsgKC/qa2+uXHSt0NTIewsO7YAOLehK3Hv8OjuD71FihUl4QSTrOh7TwxY84as5G+tat604P9BP7Jls6beuQOuzUFlLEkm7c18j4WM9euxNZY2/GxGKf6kaPu/oNsCRx3blXt+FcK1WtRpaObR/3X2kqlvxTe6xz70Wk0RqMzGKNHdafGLrnXeil037gPeU8hvfhNp84c6WPSY0FvsFyHJtPynBlDmif/q6kic6/NenM0eO5/4T5mF+qeVB4fVzwjjoFUdTxIr0pSLrbF8u3yBEfv+5HCvTBJCyubwtTzrvpLfffMxzsJX4u4vA0q3hHplbi58mYxoq+/46X5XGeAqQjXngxmdfTpzDGOGL6/m3M0dw15/GMVnjjNUbUhvIaXoJ0V8PBhlRz0XHu3KwlpHIfZiBebhrEGlTwwtt75FvE0hm4F6v/bD94iHsa3oWiy7Har3YEWWOLNWFeay+Ac2ybytqlL0HK78sR8KFkeQz2M3gtXYuqxJig55Gi6c/Eadmd4pRfRH6qZX/uckNz3EoqY5/7kqQkuw2K/WQAsVDl68RjzeJhgbONBhnt8wEr3vvUDEvHlpmYd0kKrEQff4o0vpZx7OpXTRngtfFYJpeqWOkpb0C4jxRylyQ92MLuO3bHPktn4hlQ1D2FQHuvf6d4Y/gkLM3Q2xRT+O030OuuqcTbpWawE9eLxE4/tREIeI37ho47tBQU4Wn7QPlTZARHWJYELKJLR7yAUWVNHF5gEDrREzBmyCKszsgIPImg2jWssSOmoJfkO2t59B1lpd3rgkivzQiim3fIeEvnx2PWMvE5KMEdunhJkioVheJZsICxD8mfgGlcyAEd1CUR61F4FZ5CjyTElcn8S1g6V/fixQR3waKvHw6aHX0uBKm2iYwV3ecGaWf1cMg6S3fTty5PNix8hvZgAkfjPLB0Ej3hGS29D/pePTbrvaIqKP/rrJQrr95tTjtdeYkMytChZBqa9YC4NSYeuFFnjwhrbPH+vDfVSpAVyh0M4erzbchHk73xjGo2MU1W7u7jOZxxnOxz+Q0U5KftaCLiXdlgV2F78Gw2jsRLmt6Qfn6LQnhve7X2kiSF7j5g6UQpz/v44+EG2aOaswR/L07L7hSn/CLyUy27eyw3LSjWUAMyE3fePmIK/Dt/BA0PG47V+ZQXqzGxI4X+9/uD1h5IFMfS8cwCCu/qwa7XaBDW/+o24rL5V00jhyOTKdGcGY24PvwwXsDuLVzPayTXiDzRFNrkKcecbBHkyHes5hpBjpLEYYR0qnjOlDNGuUCOuXBHPIW6+Sm3/ebvzuduqmyNfTOE/G3KS8R3qf2gPb6/Rznjx4Ug1dUvGyvUex/Wpo87Y5dMwGqnvcscFvY1Ofm47Ti55kFKMI0NwVi3YWWYW5M88AieTu5h6WxuQRy+KDX8gy77WZ+Cm8nFN3+U3RqbaRf4wNhj3OPeYDIEmYtjwfbOwOJ7PTdzeuUDsv06AGuawpU4OdUHKMiZ35ic/I4m4CoLc+AxlHEUBt1+QiFVeB/mlCdSgKXz4ws40F13LF+q2+Aiw9aA0jdMB4Lfr2d3SyfZG/5WrwZ/OxkZa1oxM5TbJ13MO5FyNn+LX5rYukJuimeS98ISd34FDfj6xlmWzrzC4EC79+K1tNlCQdKzCqD0E7samxstIXhBz/e8EycrQdmduhisZKQbeM6BM+Ysgfdf4WcULVFNT6//ecm607I7xSm/iPxUy37lQQLlaN1Ev2Wk3DBtaXMu2ckPILe9LxE/Xm1MvB2Wmdj362d2rOhvTfOKtptAKuNUwKJ82Arj7MN6WgOtzGnKMUO/O87OmgBa+2oThQql0hAXv05PXNiwitkxj6TDsgzaS8np/rRY1YM1mVvVreSis540fb/nlSf+2rSfuC8sEUhv0uYU2NTZa2L2xpthBQY7zvyuVgur2TMvsW71K8Smn5+Z89mfHmcuG2eBcdR9BPvrQAAod5SMpiHIwd2sWUQmSnTbDcb6D82LdW1dCMs1K51BwJd+wuq3/gKecuIp3tGJE2AZ9VKZctiweXz2kn2M3VEHa7SgJH3SjzqQ9m5PDXdh2lQKNbp2xqvrWhvrXNUGW87lvWEw7oxE3B2xFvwg30gs7KTSxKhHHae89u56ztJJ6HhmIW+Zy9Bh4AeVPLH0H0J4HhWzGm8jf0qscERi1itpPPLfffOBL7g0NQ0t927i/9tExbuIPQ4v73BOsKbWOZjb01TGjratyfqemsp67E4FA3PYFeb62tV4e66riPWfNYKP0DsDzy5BHuL8aaG8pwG9zHOoexYv9e6Z9PrS25zb93v5p5bdZrOlstlsB2w22zWbzXbFZrN1dPzezWaz7bHZbLccP+P/s2s5xSlO+e/Jv+LGR0jqarfbM0sqJKmdzWbLIqmXpH12uz29pH2OfzvFKU75Xyr/dg86m822SdI0x39edrs9zGazJZMUZLfbM/4j3ZRx09kDio5S/OjQBceUbGP9LV9GgI1xaXFhD56j+0vUTIAbz+qQulp51BQAvF2ETvgFXMI5S0hLnX0LyPFpnSmaWeeLq7/rIEUh+SPoDjoiFwSH22kBOfbvNG5k9IK4aO7vOGDxUk/SUnW+3ZYkuY7BNQ+OYYoq3p1Dx2s7bpd3GfrjfYoJJbJDZNPjLvgeRQvxOhOOjGgPGLPLUZM8syqhx+D1+y2dOa8BKn0dxz9dmgG49iMV5KMVw417t7MPaSG3WaTN4jfiOu8nssYHhvD3fcVNvbbNk9Td6G2QNvKcowilfh7SXEu+mUd85DNh2MxaAJcB9dCt6epIC53nmR1+0tDSOZQFADDXbkKiwx14DrvqkfZ6dN7Usx+vTBFOqZhQX+f3xa0vc4lQ40gewrXn88xhk1+OQExK2pbr9i5MT8OrjQkBSiTGhfYJNunAN7VxfZukgZAy8BA03Z31ACCLl5pvjR1yKUiSFKcT71js/bjtNesQanWLThi3u5ABktPeJtwonIx7jn6Ud7DqNshAq1sYimvPr7wDWWdQA79yDq7+ydVcY8NoQOPyTUpbOk2LcL0AndXwdrP04GboX+9BZ7PZ3CXllnRSUhK73R4mSY6fif9Ep5XNZjtjs9nOfPz67o+GOMUpTvkJ8i8DdDabLZakdZI62e32dzbbnxPu/17sdvscSXMkydUjrn1ug0CFr4UEMX/Be2tccBQsxuuEUDpvXoRK6NoecGb7OUClvOu9LJ3oOwBh0p9mBy7z0pHiiAcIU6CBAW5q72QnXNiDn+3SEnXU2uEordyAJV4b0/QTXxg/UJK0ZhX7WOXSpPbKlSWFMu81IF/HC4b2+3E/v1u/AEsYvzNElpv+pKE21jZpulHvsAqnnuINxC2IJUxzFGv9ZhGUzPJ5zIkz1/NBwNkRC+CmSHXSUjOqQR29fa+ANXZtHeZycBnpoicZsDYT8tBFtUpOrnv/ymxLJ/8WL/4nG16XPRzrHfMrFrH3ZGNFW1XDip6JgWVJuSlQkvT8CaDb26d0+rlZqoHRKUjKbe1N8pbpv7O2vc5yz2NdDagaWB7QdpQNK1czlOfcdANpqF0V8GLmupiDNR/04Xq3egGYpW1GCvfjD1JlnYIpRulx3Xgoky4CkNUYwLsRx5M5zJiHpc/62XiI/teh384aw+8GxoVME8WT4iufq1j2H7dvWTpHegI6Vz0K2Jx9C8VGHcvwLgyYX98au7cAcxh7ECJO0lA8hvjJmWP5mnQVurZxhaUT4zieWhTXAbIZfPn/kH/Jsttstijii77Mbrevd/z6qcN9l+PnP/gYpzjFKf9t+aeW3YYJny/pmt1u/7sO3dosqamkUY6fm/5A/f8l8UK+q1qXl/L1B7gfVsAUhSQsQSqkXn6s27nJxKvZa1F00roj8c7actUtneM2ygEbToUgkXArsVemZTSieBHXUEfHd2BHdq8DyWJoMbyAxGGUZeYdTR+zT3PM6S49K7D7Z89JqrDJGyxw6Ajiv+al2d8yuZnzyeodI3US5jje2W89MdeB+cTsk1qaNE7NEDwE3+Ls3lPPOggZhbEKHV5DIV3+KLql82oy1rmNoyAiezmsQ3IbjRCubTTpzGT7sUy9PnJv+49gDbZ9cpck7eyCFSlX46alsycQK3mxBTjE7p2kKnt9huzU4YNpjhAvkFh/7G0+c+QNqKIujv5o7wZyrwWrVbV0djSD7lwugFTe142QaN5VBhfZ5m6e77bseCab2xOb+6XGm+x+BY9ovD//7jnVxMc9u4F37O6L7qTypDMXhTnOu4tOPH5tj+k1+C2hw041432ckgjvYMhzsJmgdcesscVLU/iyexGWdts9PJ1D+fn5eDNz8ixoCm2yNuYdOObPeqxNQtlzynOk1yZNMrTxwNVgGq/qU7iVOBKU2jpDSeXuLcpaltxs+us//IGXcSPrEUUPj6E/k3/FjS8qqbGkSzabLdjxuz7iS77aZrM1l/RQUp1/4VpOcYpT/kvyT7/sdrv9iPSnFfFl/p0PS5giqZr166mjC9mtzg38av1tcgi7XOwj7LJv3kDtjJhN+ei81sS8OycvsXQKt8JKPIuGNV55kC6hE0ZChnj2vbw19kFUvIlUd7ASaXcSweT3IY56PQH0OfUGc9abrTtFGg8vUAiRKAHxfOvuEFfqRibeL72knKWT5SNo+b4cOEG+g/E2zp4HI1i4xcSvpUZihewXKNJ5sh2SzqdzeDnr+kGTPTLxiqUT1Q8LmHoLVjrgON7HN8d5c5l9TQZ02gz+P3wWJKDxo+mgWzgx1mni9PuSJO9lJiZN1w0vwyMnVN3Ujke/PCsx/Idtva2xZ6NCS47pi+Va3AOrcnwP5JECffEY2vS6aun0KcL1V7zBEkZMAe/46IhJfSqZZ+beEG+l8Gaes89D1nai4ySa8pHBHHybBFs6IT3JdpxLAYU3Qze8v/B5eAPVSxKFpvzNFBd1bwfGMNGNuZxPifWMvp/n+i6qKaiq9Jn4u50jAXN5NB7Edse7+OA92E/xzqZVVoH4eJiNCuAl1awCyebCdry9PpWMw/zagf9sSQU+4VGNhhrpzvHuld/LO5Ghiilx3ZibzMzzuxP03vup/kycdFmnOOUXkZ9Kl30X7bH2Zh6k6fFALJ+XN8hxnPsgxA+rgpYez8Sudy0l/bg3jGInvj7KxCTtBrFDRhSFKnp7KPnqMpuwcqe7GJT2TXEaWqS/iPXvncpRKrudHfTuBzyHfknuWzrDvEHzZwyh7dHaT1gov5FBkqRdJUHA2+4NtHS8E3HKjdcQCklSFgKV/1CDOP/4352CGpJxkCSpj6NAxa2KH/cVlV383kqKc+57hls633ZhMaqPwEPJ/pR4dZYn8f6Baib+Xr6H5hs9x3pJkurvx4MY4AHV89hmvJpZ78z1n2WDXlqtMy2gws9Tohu5Bx5V/uLGs9rajoKX6rHwdDJVwjPxHgdHYklMinUSJ2xh6cTYAGp9pTaegmdT8vjbwrGQqReb+Hv2ONZwdVq8l4/FiLNzuoA1jHSUuvpcNMh6pfW0/arUjEaNUWOTiZheHv7E4xW8I3dKmhJUe+0gSdLDeXicz86wPssGcZbBgSWGgnzmAM/84BYscMBwx8/4IOrHx5LX/5DfvHul8mNtBzrOlEuXy3Ee4CE8FdcvxptMnJi1KtQbD/BFKt7lQgm5j9tVKdopUMe0KrtWlGfkWie1ftz586+007I7xSm/iPxUyx4pZhTFLJBSA7+QF2y7z7Tueb2aGLHiDnau4Cegj9eXc0rp2D3E93tdWls6Cb9gAat1Jufs84TYZc1bYtNHbsYK3SqP5Wjuw05ZNiu5+N4ryO+urgwi+jV/NkvncxV0FpfG2sydhqWJXpOY7nYl4qaHlUzxQZHkxOEfmoICZwnB6+gxCaR6Xgtz1nqQJ7F5oZoww5JcJYd6T7Co/KKDGUyqNcjSubyP+SebTjvlJgFYkpN7sfT7m5lYtPQu1q5bMdhelao7GHnf8VBqFiZObv/D8BHG7YRJGCsZ6xx2knnXdjQTGZnTEKNWTcezKhKKzShYgyKfSplZ/0X7iY8njjLcggV7sJJFgkGbA6KSfalXnbLexSuzmrGnYa4NSQEm0DOVwxpvxLK3zEJ8XyfcnBm4Jx3ekMtjGGeXGuEx2r7RBKVMXK7RJp/xIDq1IgDv5MM9b1tMRqCAG8/yRDuT4ZhWpq4kKcpI5nnHHwwjfCRr0GE5c82WwXgzS9LBjYhbEJyixSSsdKGTWPoK6Uwr7wE34GXM8YEn8HwJFvzTF8fJuySa9OO8afW13Ju1PHkliraGm6Km34vTsjvFKb+IOL/sTnHKLyL/diHMX5GomWPZEy7OoRUhdOh8+5s55D64PRTFWjMgZHgeAjibcgpCy+GbgD2xYxiyQkkHqaVcRTq+nInAxbzSnA42nxaY3l41rgBCrfJyFETcJSVTyQ/3rls/wof1YYYOenkf4UbcM4BVfp6QIlLOJY3XpQE6Twd/tnTSlaY2el1jyECL8uEaFi9Oh5wJT00a7foJAKc1G3HrWmXxkiS9+8hcdw6Ahtqm9jVLp7jjpJDcNtZw/wPAnS6vOPQwaJchKjU6TihxLgXFE238KUh5+Br3/o43NNQRmU24M6YYAGnZfqR83ozmPqpegcTx8YwBq7451OJfYS0/HuB6659SCFN7Gq5yjMWLLJ294YBSWbxxNwsMIVXWOT2FKTeWm6Kc0sd41kM9CbGKXQH0Ol2U59zWl7+/L2hSn4EOMtbMzvS37xME0LX0DdcdVZE0Xep8Ry2dnENIrY7fCGGoThipvR1tIWtN3WT64tUI51ks9ybM9P4MSef2IohQNSryPIobBrIupiJUfFaV8O/deMIDFzcAzi17TPefWZUAN2MMAxx8dZ7eAAmnERq99eRdPOTvY+lc7kKoUrllVXWqX0S3rpz964UwTnGKU/6/Kz8VoEtrS6DZUZpq3Xms37zNpugkbw5SFwlvYVkSHMBSffSGRNA/HYBHptmGoNG1CqWbXivYbROIctK7FQGGPt5ra41d6wmhIXlyrteyDoDT3RV0+WhdDfpmzFq1LJ2vhTmrLF1f0jb1o5FmyVsEGuriYLyiRQ9M99Eh8ylyWFwNAKdkKsgdk+QlSUr/wPCQNm+jR1xoXa6bfA/mIPMcgL/1Z7HwsQabfmmlBgDGnPZ1UGg3kYoLLEXf8lbT8lhjA3MBfk11AFpNMtEx5mkJTjFp08phsebmsnSWBZKyyjoBz+FdbYgrI8/mcMzZAGhz03Kv99bh8XQoDyjWPgaUz0px6T3fv6OxvGUiAXB5TSBd1q4Az6HVJ0c/vtLm+ZZNiyV/FIR1G3WBVNuHYdzjpkEU5xQubso92w7DC6iQAa9ue1OIRYebkJK7Xg+wzTdRe0unWlwAsstdeMdqriT9aK9A9+LnxVNZY88MC5IkdR3K7zI5yo9TOmjWqyqR2r1Yy93SmXIS65/tOO/9zVbMsWVV1uf0MkMK+taR+Zb5xLv9YwDgqn9M3unVtSAHHcmZ29L5upzP2tm/kiJCTQHO78Vp2Z3ilF9EfmrMniFdFvv0EUt1pyn0zHbvzLltJ75APfVojEXZmw5r47sSS1Z4Pk7I+0jmRJKNpUg3LfYhZnHdTMzV8wo7/tbepndb7HfEOLFcIHPErY+F8VlIQUy/BFifNilHmQk3x2I8bwH5pFJ1dtl7R7HOE2Yy1xSjTEeutROJbXOvJIV34CzW77c6xI559ly0xrrN4jMPtiWeDHU0jlgXhJWb3Ja4LSJXV0un7GJi2155oBHXaULpb+fLeDc565i+90vm0xAi5UzSQ+cuMHZ6LazeiAi6/L6/ahpGNN+C1Xfzw0KFn+EZ5U2K5YofzVje6mdJWd0thkUPLh0kScrm8MpST6CQ53hF85wrVSKd1uMAaca1r/BMEjsozul7mtLNs/vxxvaN5Zk8H4vlHbuAIqPGK4iPD2TKYemEh/KZ7/qTkjzxlvRmur700kveiM/f0dIUF9VYxdhZe/EE+6fAA2rQ6D733tec9fawH6nTFClZ089HeQfGueE5FF6Hh3rmjvFaB1YDk4lXmJLcXK1YrxajKPHOXNWE2PUfs1axZ4NV5Y+B15igFVjHmRusU99nNyydyMPxQI9FmaPK6yfp4vMQZ8zuFKf8yvJTY/YvMb/oXuFbWjYAZHquhyEejJkJSj3hAVTC/LtAU78ngEoaUBwU+Nk1U0kbzxWUN/9ryCetS4J8TxmB59DjQlJrrM8AaJqBuaDNpp1Fy6N8LkckSS9c6T2+oeFgS6f9LLyLFtXo/lqyLlTd8rEoyzzZFgKKbzlD19w1EytQwxMLtTkF1/9tO2WSabr0s8auycWcsszFktdsSQx3LB8ZiXi7WYuqvU3Z7cYxEG7GzgfNvr8O0k7xhuz8hS8ZUkXKOJTerm7KY3ZZAz15XW0KL+a+gciSeacpBQ6/R2OR3hHMoXsyiB8534GsF/EwFsvzLL9rHAoqvj8N8fCss9x7cg+sao+eBs0uuQu848x1dNcuwd4U+YzHdcUniTU2+zXW1fU0fe/TnmW9Csfj8zL05PkUvhfF0jm5GGQ75AjeS/scjPGOQlfitCNZv4RVzZlopx7hDSWdTiYmSlQQ8YnNiX9beRorWrQb3tDd72QRuhTjHfgUBS/jeHR3SdLqvcZzsPvhmex3ZEdG3MG7OJiZZ9cyJK81NosfZK99ebHwgWnxnjZPZJ2+i6KcDK+/WTrz+vlJkpbU2qiXH3/oz8Rp2Z3ilF9Efqplj/kqqvKv8ND9/IMkScvzG7R8cDZ29FULsAJPomPJL7bFkuxyxNiuS01OslM64vA0jbAK4fvJ20+tQGnk8E2mxdHHDuzwSZZjLc44aJ8vc2AtDn9Gd2Ik06igZFvQ/RLNQeOjvnC0xqrMHpnyIOWOJUMmWjqTe7NL9+hMbJXcF6tRReALsR20VkmaFEQe//Q+6L5HDoA9tL4Bup18IPne1ZE6WDo5t5Bv3d6a3G3Tw1A7xx0Bn2haz6xp8Ec8nVY2vKFF7bFCWa5zr6VGkCuum9ScnJM6MejyuI5gGclKgxFEy04RzbYKpu/9vs48m6ixmf/+LWAZ4ZvBAC4VJfbNnuHvKLzj8Y5i5ydejZyBsXtKYuVqNzInqZTKS/z7vC1o/OZ4vK5zjmDt5mSHQh3U1OTxb43Hos8tzCk+PvPwIOq6M5cq27l+0UEGe/joOHK+X3Zi36qrWcPHT8FsKvqZDMTCPmAaxZbAW72REFS/1QZQ9HeRKHpxnTrS0nm2jfX+sQFvomQ9uAuDg/k5qmBHa+ypPMT3p3uQ0Sh4FQwoSmpIDUkOkAV4+sCU3V4QHly9JnG0coLzRBinOOWXF+eX3SlO+UXkp7rx0b68UKa7cxQpA1VWcVcauuxhT8CiTwv8JElJL5DK6BWJXu27LpGKmPJpnaVzaOg2SdKO4bjiY6YSArzzx7V9+qqxNdZtF27pDRvpuWG+gHrPLkBZTPkEYsO1JHssHe/xpLwm9WCZ+g/lONzmLgBC0bvi5nfqaGqj61TAfU+Ymhr4FH6AS21OAlqNmbPBGvstJ1V1z224bH0jCEeGukOGyWkHCHxSN7Wlk6QspJdNrQlRljt09i5kLTtWNNVcQZVI7ZXrCUV4URzmeWo1ruCP9YA5N/LEsnQixeJv11/ShWZRaVJkzR1dfef5GwJOfUcX3I9p8INPfQZIrJYOoLF5La4RxXO3pZPRDZd7uqN/QNAVQLwUOwEuW/fdZo3dWxmA9eY+qto80gAeLg3k/dk/ghBg3DjznMML8fwqHqYibqofY1b1oXov2OHGBxU5aenUe4crnv8d6z35ASSmtV0hwzxPbta/Wk5c+9WnAd18dwLqufUC1Hv8EECzxf0mlo6/nepCr1oQnzJuACwcnROgLnUDQ+T65gAYSyUjfRn1DsSqUt1Zy/HvCcVG1TN9HSb58Iw2fMupELsJT34vTsvuFKf8IvJTSTXp48SwT8ifUaNyQYw5+cqcynF1DhZ2RT9Aq2iOEz0WODgo011If1zebGqLY39l9/YbCDDkvtFx0OIgwJg6xU1K5q43BI3ANQBc7mmx/sfzQnTwGwJwlrf3dkvn1C16aL46BemlyF525M8roJA+fkt6Zd9D0/fN6z4Em8cNseRdVkH/nTMfq1T7S5A1NpVI/5XMiXU7vxcgrU4kgJs2nQEGOx4bb+mE7AeMyboIS1IgEfyJdumwaIdSbLXG1nO0sx+dCSAtw0WAoAs/uG6CjQBSB56bvuWL61AP/tkF0s7kpVBHr/0gbZetubFyrzoCHsXKwztUdBQ/a+emWKP5aWru14+raelE7og3NKEe6dGaE0nD7s9EzftTu+nB37IzgNbZSHhj4RPwVJr1wNr9NharOtW1kaVz7CRrGHCfDrFbc/DZnwfxDFcOpA58TsWCls6jCYCSSztDkCldAqufvj4A5+dCq62xW9Yxxl6G93Fra7yCTce4r10ufH6PSSbF2iw/4HLNl/w8OZT0bt+HgKrZypk03ZNuAHyeFUjZPg8ELLTP5F2OcxnwuejKSZZOnMP04J+e/rJOPJqvd18eO0k1TnHKryw/NWb/lDa5LiwerN7JKWiY4+iBJkkvhmE5suxiZ4yWgZ8pp7MTN+oDmWFy5NeWToVOxFbepYm3u+ykY8zlSRRQNChpaJT29+yiVUKwkm3fcZLK0C4UJWxeBN30nQLMnPIQK274CMHk5UxKOXu7YCXez8MbmNnA0EG7OM5I804OSahtbQg5iwuRsnpcyJTdBi3BCveby2NIkB6rtnkW897ixpyaXzYxdYZk7M8fPIgZfd6BUxT9xnVPuZtzyfpkJ/YvWh2c4GASMIjOQcSxRUoSv2aPb7rn+GQgDTd+k6P/+WwwiHzeWKXguF7s7gAAIABJREFUxOb6CzZiWfs/YZ6FQ7wkSXlC6O93axcWvmox0zF201meZ7GbrOHBdHh3nnV4ltFntrTGVn1Fgcosf+Z78y4lou8fYfU8svG5v0UxdOUpnfDyvmTnOh3dmG+zcHrd9W9IauuHn9H5sZxn7puUey56nRRo4rakdq9OP2CNXZGJ51vlPrhB2Eg607iNpWR2ayO8p5gdDCbQNhrvTZt1eGUDmkO1jVYT7+ZB1dvWWDd/vLAY5Xieo2OCq2xoQsx+riTx+cgjplONzZdS75aPEuvaN2cPOqc45ZeXnxqzR4mT2h6vUFcdiA5qu7me2YUqJoKkcLEoFNpUCdhds82G3tjYjX+n9zLU0aEXKQNMu5R49ctWrGfOl+yqZQqavaxXNggxi93Z8TecwVINXYd169AJMs2k5Ib6Gvc6fb/ezCfuuzcGax10K1CS5Nmagox5lY5bOvXzEauni4lnEjULumFuUC+XXjMnmjb4QPx7bR/6Y8tCweyVBMqrVxgxa0j5MEun0XQ+u8wVrn/yFNePUQoSScNBsa2x+z9jSeo/wLuotoU48tq7QaxBV4oswjzM+R4Le2E9fdrSmKPXe+YWOz6WMXSmIchEqgApp5Gjd30xx6m5exrjoVxfByYRf7A5hfbhY7CYQ+3w5Hz2gBt8LkLGIGs8Q93NtBcrPMlB0kn5g3td7MA4akTGg9s0O8jSCUtH7L/3JGv25g7v95rtYDMvjlKEUmOu0Yk5neYjXYWH03kvJKGiD7HW5fYWt8a6fgFZL1CH4pnEz/AQ3tvIEj3u7+jr12SupdMuLuvfex/v8PBDWOts+Xj3Xm03J+a03sj9941EVqJQHtbpTUcwiFHj+fsIb9ORtswCMlY3u/hq0ejBevLwnjNmd4pTfmX5uXl2uSpzRAbFy0TrpIp9Olt/e+RPHBbTH9pkipzsgtd/I0a/48XYXIHm/MiTTdnt7rbDmg2uSQ5yZkNuK8DL0EyX1sHKfayJlYmfASR5QRi7eaer5DcfFp9j6WwoQCFK9hCois8qEJv7OZrJljtJLH/xjNmZl4VgdWKfwZL4hhHj1dpIznbGVU9r7CHH6TH1M2Btpqzh885GpTHBonFYtgs3TYnr9dV4IGm7k1d/v5wxXouhdLaNMCjzwdbEnN0ykzvv0Yyc/I3mrMuIJqC4Zc8bnOL0OCytZ2Ji97FpHV1xnxJ3v6zexRpbfT0WL99j7vHsccpL72RyoOM+eAMD0pvmG/1LwQO43hTLOPYCmMOwzvAsbGVM264RH/HcXPZSqhsyhnvd0xyuwYcSPOeRo1ZZOnuSwgPY/J6z59dkIcvzvhqeT7Qd4DCPapj3aGZr1idJBQxinRzM0e8RmSFNam7W5xXeTKEK4Albp5EheDEC72ZqTT4vbl/Dp0j7iPi7+HpH+XFCvMz7Zcm6RIw3yHqL3HhSke/ibbTIi4fQJxrv7wPHcziwdbKlkzMt+j8Cqkkybb1+L07L7hSn/CLyU2P2PJHS2g+5DlKnvsQ5+e4ZNH7HdXKaRxqRdy2+nZ1xtePIrDwbyNnuSWPQ2gaJYFglWc9uXicflr3SCRhcmX23WGMvFKOV0Y90WIeG54iXUk/l35e2s3Mm72pyqoPbsGMeKUqRTr0HxNRbPzL/SwdhbiWOZ3Kqb4uQE3ZtQR42XWnGTl5OfBxa1jSXeBAVq5b2NBZ2wQc4BFkmOMob2+N93G2cxtK5Fx2rdvwJbL5VDfFI0tu9JEnvehg2WeFKeAHxOuFlDAhhbjXXgujuLwRfYPcpc/57y3MUmSTfgMUKmIbVvz+NZ7VhyFtrbMyWoNQBcfCwsm2CNdZlKbF7q8Gs27hZ5sTUtSfR/76Beyx5EaS6ucA/GtX1s8bmqEk+fc5KsJj608k1x/xIFqRgGEVHV3Z8snQ6Z+V3H+5ixxJMIbZ1y4UHt+sOeeyPZ423FLoYb69bTlib8bvyDt5o6y5JKjV9nDW2VQti8+hufGayGDzPYb1YY9cxYBqZfM3JrGfHM/9Fl+BwTFxPO7Lm+cgm9G2SwRpboyIFLgFnvSRJFdrj/c1Lh8e4wB8cqeLLD5ZOXw+eZ9Jee9S9W13dvn3FGbM7xSm/sji/7E5xyi8iPxWge5H9hRbtWKCi1wC0gmeariQnGwH8vC4B0NRsNi7nuIu42U3S4GbvCJ9q6aTtQU10xo+APV1S4oaFBUGXTfdxgDW2Ty+u18/PUSzzCPeoU1c/SVKpT4BMN98bsOpjDK535xJuqv04uocLEh682AKxYVjEYktn7VwKJTZVBwCaNR6CSVBFiBNDZh22xrYI4bMnnx/EdbNQ0HOp631JUs7DuIpNUpjjeQu5koYq8wZ3OForwp0B5/ictu5B1tiMBSDVjPfHDf1UAbf4yCBcddfVuI+zGpga/nNjSfuVjouL2WEc9NkqeSAuTSoWYo1d/hxQzT0qsVZAXu49uISXJOl4BeYYmMD0DTz9jM/+cAmUs8g5UmT9T/B8x00LtcY2OUTIkjs3oFRYDEC3qfUBGGvFoa9f0sm7LJ2LCbinHh0oJAlr5zj26RQA754qXKNXJePG519KKLt4JutUfAZpwEEukIauB1y3xvq8Yb5jPfjMLf0AD0fnhQKbvzKU7fELTTpzSSzmmeYz3WXangQs3NCCtdgy+IE1tv9eRz+Hnrj+ZRMTtv4oQYjkkg8w9+1q0/0n/QIKkap+CNTnH+Z4rt+L07I7xSm/iPzcE2GiRbEnSpNQ7Y8CoowZ1MP629LU/H+07uyY+w9y6GNPkQZpfZ2+2Xknma4kQfEpSQz2gVTg34UUx8Ig0lv1sr6yxr7vhOW4tYPUXtIwKItDPdhlJ00AHIt/36RMNs0HRCpUkZRSvo9YjV57SY1tcKNIYVk6Q6c8OIj5N6yFdfh+AfDu1QlAmU0zzZHK13YB2JQthQVOdpGfG1rgvXy7DHB39IChyxaJROon5Vm8omyu9JqvVYNTXhr3NyXAvtsg5eyvzu/unofiGWMe6ZmHXhQDzVpmutuULYWX1PsBAGCWF16SpDwLSE/Ve2ru9eMdUp4T84IHVfIB9BwzFkucviJeQZmNBqBruAYy0/SadHIZn5ceg4kc91XxpHknJmblehm3MxfPBRCvXFeyphNFCitVm++WTpogSFezKkPoqV6WFNkWdyx8Gw+e5eoGhi7rPxfiiv8aPIlUZSHr7P3C3JJPN+WqI6P5SZI8ZtM9ONoyLPuJcGi6oxPw3raoZVJ7rS7iyW5s6vAunuO9lKgHbTzI8401NqQvKdWW6fA8zsUBGK03DoLPhhMULb36brzWvrfo2HM5TSa9uCx9+2B3AnROccqvLP+yZbfZbC6SzkgKtdvtlW02W1pJKyW5STonqbHdbv/6j64RN1Nse5H5+VTbm3gjU15z1HG+oRR/nGzm2OknsCP/rTywUAysd5eVpsCgxQQonUkHE0cmeke8HSsFabooI81Rvj0209PudGGsQrxK1M56r3dQdwMgMYQcHW3pzJtDnD3bkcpLFkwp4rji/H57bfqRNaliOroO3kfqyzMJ1uFBcggfhX5gEV1SmXLVPHe8JEnfb+JNuF0kph7pgkcSsY6fDU+YmP3BUzyDDO9JC7Z2ZV2yBtEjLnHlQ9bY7D0gaBR/yXV31CC96eU4aaWUH5b/0lNTYhk5BvFluoHEkSVWMMfqsfAgkp0zPfRy5cUzqT7+viQppIajV1sKvINjX0jBLXYxpcyDo7HuiTvh+UyIRTpt3lrW52nYMGvs2FTEx6MTYVkbVYaKWqMOns7ZvHhR+QoftHS+XOMek8fG02l1hTlFOsLnLjkJzvPBzaTG9mcjlm60DuxixGrSdMc2gVssO2bu2fsYHqDXSLyaO2Mg0Wzs4yAOFeb6056bjrGngvFAui4Fr4kSn1LpWVGw6B4HDQ6y8CLWv3oDPE+Xv52U9BbvZUY9Un0FAupaOjOL890pNKWfvpaeqR/BoX/ZsneUdO3v/j1a0kS73Z5e0mtJzf9QyylOccr/CvmX0HibzZZSUiVJwyV1sdlsNkmlJTVwDFkkaZCkmf/oOuEucXU5bnm1fOMlSYodaloQPZrGLhexhEvYrhJHLXkBYcajGLt59U8XLJ1kLdjx9z/AglQ+DDGjzD12UG9jRBX3OzF/OxcsX+/zWPDCA6DC1hgCkeJWG39LZ4I/lN0zT8kI7K3Orj1hDTRUW3FOmh3ezcS8iW/SVOJGYQpVwvaDng/Lyk689rC7NXZpP+LWvSegsZ5qTWxbezm6rRPiQbypa2K6OR1AuKPawRNGRcFjWTQTAk5EPFP6uGYdFM7Qj1BevzmWruo55l08EnM9cd4UzwxPRaus1IVAfT+VATHO0xmcomSvvtbYq6OI/Tu2oBBp5hGsT8B3vJvtrVm/3J/OWzrhI/Ay7l5H99M5Gn98bgBdekoLQ7S6MpFn0aglD3L7aOYWtQXXfe7pKPftatDsd6E810vDKUiyxceid6kCWSr7EV75Z2eKWTq7mxJfe7+i1VP38VjiAtNpTPG+6mlr7GUHJvPmA17p/UmUGo+My1zWVOa9jT3SlD1v8MIal/XAor+Jg108V4T3NGKBwVkGR9BWapQHc1jzBO9s/lFo4+Eb8TK2fmll6axzeFipz5/Qw3D9qfyrln2SpB6S/taBPoGkN3a7/W8nGj6SlOKPFG02WyubzXbGZrOd+fH64x8NcYpTnPIT5J9adpvNVlnSM7vdftZms3n97dd/MPQPg3+73T5H0hxJ8kycxz52RgdNu0O8FLW1abS3sD4I5d4FxOT5A7HEtu3QBzcU5d9be5kSyMNPsDqpU6Cb9j4WvnBudttPoebUjxYXQUuvbmCXXpkQZHrHDSxLkuOgmyWaGjpr3TB29kajyHUWXgKS7z8Ry3vNEf93SGqoi+kv89lftoOmrgnG6m/pR4PIjK7Gc7jYleX3uMK8M9diTN8jWOTbjoaHDwqZPLhfeXb+qo/JCc+ICcaxoSZ4RdJ1pgVUghjEffO/kLUomRFEfXh88Ik1FfE2Zo83p6weHIt+ia2DJEnbs5ARWB4N699GpgS4UYijtHgSFNQIxzxLxQOpnh6FcuWzKwwOcrcJOEeHm1B0z97j37uuYZ2SxDDIffnRZFfO36U8uMVCYva6vljP9DUcRUBpTN/1CY5Tek9t5j3xueolSQoQyP6Pw/clSSHFmlo6+fyJr0vdxyvaOJ/3psvjGI45Gp5AxipkDd6E4JU+cMHzLN2fuV5wnCHwdWVFS+deKaCsK9XJLK0ojwc65hRZlxUrTdn2kD4g92OK8t7ECQAPytKD78yABrzHNX1N+7R4+yh+ilo8SLNc/hyD+1fc+KKSqtpstoqSokmKIyx9PJvNFtlh3VNKevwvXMspTnHKf0n+qRtvt9t72+32lHa73V1SPUn77XZ7Q0kHJP2tF3RTSZv+5BJOcYpT/hfIv0Wqcbjx3RypNw+Z1Nt5SY3sdvuXf6QfJUMKe8Jp7dSnHK7PPZna668hVLCNOQSwUi4z9MPVfsT5ob9Bikh/1MXSKdIR/bFTSFcMKYc7naMXSQPvKOZg+m9tcIsmHeN6h/NBhTwyHNczWj8Alz03zJHN6d/gipdJCeC0sj/ox0o7KaHvC0nJrShU2dJ5OoHe7PvO4lZnCoS++KUOvdCebDdHUuUfCDA0NQLgr9kjwK/jyQHOikc4OsimyWLpPG/OOu06TFoxQ1XAr4L5AB5/ZDR008ArXpKkZZ8AFAu4457GeAPdNNM5XN10tUzd/5bNpL58OkER7t6MsCGsO4Si4LIJrbEFo0DpPNQO13XpCyjID8bz7HJ/A/Q8PK60peO6irV0jYIrW3YaQFPT79Clq641pKNi/vclSTEv4JrfH02F3/MdvCPjAgjFxnmntHQOtmGtqu5x9HAbTert2HfCjwEJCdNipTDPuVFcwqWQ6KQI46Thvak/CFCsW5Vm1theLUgrFu1K3f2XrISd3e7jtk+OTxrtmrJZOtNSEgItmQHAGJABG5v5LvTocg7AUZIGDuT+Dz0ihDy6GhBv+xJ+H8OReivX5ailMzmqlySpdEBDFevWTOduX/vD1Nu/xY232+1BkoIc/39XUoF/R98pTnHKf09+aiGM/VUyfVvRS9kmk6L5MMkcKFi7I3XHqa8CZnzZBfiz4qZj1ysBkJah8w5LJ2I41vlFZwC0MWnJLdWLwW477E11a+zDTlibixPYGW0fuH7RZ9SKnz8JcLaqpzk48sxWqLnLwklDLdgBOHNmN0BO08fs4j86mY4752uSRskaDav5sh5ASr4heBS5vc0x0gP82IAXRYME9CY5HV5m9GHHr3ocS1w/g+mL3v87BJDEeUlVHUxKCqt1JVJw3w+3tsYmbo71PLALj6daASyYzxGsxIuqeECfhwRaOlumMO9E/Rmz+zJWv0FnrpE7kqGOlp5EOq5wHBy6/UV5DulTYaWnL1krSZo42Xg+ozvTc+BZccDZxOmw2oUy0Hklc6Ml1tiDx7iXj668Gx6DeBcWOsg08xqTmlzkbua/ejZWtIQP16v1lAKePlX5+XE1uqfjmLzsWQf1dG0KAMxHefn3sVN4ZeVv+lhjF7XH4zmQA2+sw0nmcPo+HmLq2BTajJpS1tIZVo+06HwvCmoKneUeO37CO6vb0vTtn7QfQPrDKYhnx3fxXUmfnffS6zjP3TuSeU8zv4IKfrnqfYUPM/0Kfy9OuqxTnPKLyE+17IminlWzlFG1ZU0ySVLEVWOxUmwg7oq2n4KRWNFIzdx6we5+4C67bopvhrp4Zy+pHV9XdshV2aABfPiMlX781cT3Tcqhl68sJJfRz7Fcm1oHSpLepr8vSfp/2HvPqCq2Z927FmZFxACCEVEUBTNGFDFhFnMWMeecMybMOSsoZsGcMYNZVDCiGBABxYyKooC67odfvz332OO/z9n3fPDc8bJqjD3cuubs1T27V9dTTz1Vc8ZMJXMccBy5qp8PQo/poUhf603mDb3BlbTI9K4q3XW3n7uIiLQrTTzr6Mx17P+Idxu1s5M+9uAuYtzm2hbBQ67Q0y2sKynF8CnMfRyn0o2XX5Hu61gcVOQXRyFGkRakv8ZmUCmfNSFcc+3qnP+5UBDKkl1wHXkf0r3HpZ7akti8FUhhxnCuo+JO0kJdjiwREZE81cL1sQd2gAzco1jL2b1ATTnmsv7TR3Heg+eo7rKXHvH/fhvoQHutEKWg+5bgqbZOLKyPdTTzFhGRqa52IiKSmgnxUdnmSFajnyJVvbJS9V1bvJ30aPdQ/m3zfJ6nlzmRE/uc55lZ/VqlEMt+Jo25MBv396sjqcgy3njkQz1UJ5y0RqRJy5bipxNYAhRwuCvndKUxz1f4MdXLMO8tUIBjHRDbqaPwOZ0ek9rL0MhHH3tsLNdYMY5OR6P6sV63y3Ju0xfBoRg2KLls/HZ+IykNXsmvx6a+8SYzWbq3P1riWrxMLuPcHTXlSF5i6lxhqod6fBAlh7ZN8BLzUmE9Zy/jzT9zMn9avzmjz9m2lLis/QXilGetvUVEpNE0vN7MVNWB81lJJJWVovFy7vEIS1YN4o3/egLlpY9+btbnZCvE/AKeFIGUOQOT3jEauaNzGgx4huWqLDbfLLqBegz11uYSbyY/J97Mm0HF7LZH8AKNPnNuF57hPXvcR4U8LoXiiqUrlJw16Dp90fuXwks303ZHedaKYzje366PPa91qZ1QmfMe0ZHS3y+d6WO28hks8zuD8uxXOxOnOnehl5phN/zEpKuIJR8uV/3SVlThWnzXUczSbine6FsU12zMybndauyiz1k4HBTWyZzz3beJgp57O5Gv+vaO0ce6Csz6gJ6w79MKEM9W9ydOrhNH/Hzo+wd9zntnWGrzFyC0sgUo8hm6j8zG1TGIePxTVHFOjrogtZlF6Rd/+B3cz4v3iJLu3U7Tx56whGPon4uYOqA4xzUcg7dYqpUYPy89SZ9zMJl79jSefQIqakmiLyNYryaR6vmREqy360QQ1e42HL9ZPopd6n6Dm3laTqHiiwvJ4mSdu0EOvfCRdz9MfeNNZrJ0bX/Us5e2LmLc2nGcXD6IvHH3MiVnnf2bN2JSWWIfv3mM8eyJp3m5k1irdwPVgujpcWLmEYV4A4/KSnuo0hOJc7p27KCPdSnDdX5qQu63RwPG9O+EjNJ3DXvBdb9ZX58zKCtv/65heMDn7WmskBpDLG1bnbhp8FglN51VCSHhofpIOZ+fxiu/yQ6fcL+78qLHPsBe/ypOznfiGmLDDaUo7705Ho+243GsPufTHLzppJywy09siPsNt4k7v25Qu9zeHMu1dUgAbdR/w1p+moUHszyBN/10Il6f0780zRfaRoM6Chcibx+5nfWpUryJPtauPhLOvEOQk67Jz/q38yRj0mEsfMLQnpf0OcGnOd8xITDSsdOJsatWZ26h2yqnvTGV0tUNn3BUzZ2QqO41J25NtQR5fXmvOuqmFCOOzzsAFDAmN4jx4lS89eT15N/fLaujz+lYWNt9JYAxqQvpIjw0K8UzZ9zV7i7L5/HZ7RGgySr5ufbUHzDqTTIQq/fJrrJGl04zv67GqJtrntz+idY8ZIy6v11GgEgC63Idy9qAINYlwY9cHgY775NLtaX6mZ1mIVO8+8rTO6Mk+esTk2c3mcnSs/1RNj5z6mspHDNfWqdS1FKjvmKZLxUmJ9xTK/f0LIS6zOE3ityzTcmLv76oShNrZYW5HfSQ+G/pGNRGq6uT43w5VfWAH3yBYozmtfEGqdfxsJNW48HeXsPrnSq5Q5/zKZLcePfMMOmPXoEUCoVSNjkylXjquZuFPieTHc3/xviQT97Zlt1vnhQnJz82Qe0e06skTSkKv+Sc8hymnLFpG7iMg+PIcdfbodpS1Ukm7lthBpudpSOowrwDyOHOStVIcV4oefUslpyL/2O8UP044ubyWtOHcrXVji23++PlMt0hm7CuJMWM483gE25EKc5h63mON64LfES7hsTO9aOIJ0tdZI1zH1WeMfdlPPvervAdvQrxCPbYxvc8zq8KPFbthn8oE8qz0MqfTIbNAdSOtdxjRETEyX6PPqedM+dZuRZ6jcFTuGefu6ORELaml14dVAlqlbzwN+818WFSFEy96zHQZvNikfrYa5nQGzRdyNoOL8az8dYZRPh2CNfX1Urd57AxXH9UTzx7qyFwGs0mUoyTYWcefeylQbTTKnyDtbu/lLHev2nU4hBMay6zVNWYpZozCDF6ja+kdDHl2U1msnRvph+7yUyWTuyPwviEnHlkdp2Okv0MkPn+NSVnLT8IwcEdGySWEdqWzZnnIUiYuBiC7bgoSFjLyMb1HSaQLnNpj2Rx+V3gkXGPgoQ1vID4W14B03PPBKaO0WSsT2qRXrm02E+f02Mc5E6/dcDrorXp6PoxH4TK4L2EBm03R+tzdh+hMMXWEQlt8nrSUocWkAZr+1Rt4neiLtD+7kwEE9O2AdtXl+AcHAJ8RESkSka15dL6LvSH/6l16HV6B5x0msfffRoq6eX7yUhSk15S0OH1A8nx1qWkakZupZjDs5gS4ricJA11fwjinRqOQObEZdyfXj7q+DPmQ0ZdroTQxtYX4ulVOIRRv66kyGbcVn31228mtHqakRSehXD+Hzz4PuuxKvV5cRLH8zYjdWesgbR5dBEg+IpXrG230aqQp9JgQrgdDegC1GEnoUWFSARSYXmY89ryjT7nSi2KlIrYA+c/DoW8O1udv2/8S9/7EscpBHLoD5HZOispsTNNCBs8MnHvzj9VfePdzAk3zRpzn1/XJxSzWY+oya7/AH1s0YIQgB0XadDcjaIx212EAEdWIvuOWllen1P4KSKdwJoRMsKgio7+bibPbjKTpRP7s4UwL1MkbfIzyR4PgbPZTvWgCxqOhNa8AIRKvXUIby6PpSfdzId4yrYLVOng7rO8vQc2xjtbLoQoG7LETkRECo1W3WvXFydl4dQMwiPOlbkPioEuxiyHrMpXTpUb5tyMnNG8O97MoQKEzaw4hBqnn/B2f7BWkT0Di4EqanUFVWytQRbEZTTE3cOjh/WxwQ35/2JH+XuFhXiJxUsRsLRsjUfLXkillvI/wvM+PIfEdu1T0nP5TjM38wnVmyw8MwUpfV9TijuhKiKU26VJO758RG+75PrZ9TmfBuIlt91ivYu2JeXWUkspDdiq0qUv5yBe+p2DdNar7JCF0X1I+TUqCQlXY6SnOr6mT2ntRclylRgQg3dWiMU6vffrY+/m4FyKVERgkmEb5NuKwfT6jxjB3Ad2qnjmYxHWOaAEBTuJFqQk60dSnrymMQKpvWtUx94mXjEiIpL3G6ggwzBQxzB7vOigVapp8rXBeNSNeziXVjY8n7GlSZV1ughB5tFN3bP52ViXAZm17cen8yy+qYpALClxsD626CJSqsntWTO7eZCzv4ri8R2rgsK2TFGCMclOyra08YN8FtVD/+9m8uwmM1k6sT8qqsmb1cnYzC5IQsZpoogtKr54eol4rLwrcWzJywhmgloRDw/Ih3ed7qS80PkIUkZeZ/HoM1yIhfpPAxUM+eSvj43sQgx0sQ5x4I40ija22RBDVgki/g5tqeKzvTdI+21pgJhm1TbSfnV68jb/UJQ46n779fqc4sfgBnIWhxO4vwTJ5xM34lbnTTX1sbF7SRlmSSVenRBPyu3ETJr+nL4J8Mrn91SfYxWBaObSKHgEr6fEfb0HgQJOeKvU5J5+pLPCJhAzWmfBU54xp0Am6SZx/kj7EvqchmHwHhfe4UmWuoICsgYT3xfYuEIf22I9/MPEffAUzl+IjweeIA11JD8oyW91cX3O/Bl4vlVOFMs4NiXtFHAPGfOkhgpsVuhIyu1wLhDK2RI01ijmDhcx/CzX5d1c9TIMLsnzct0Jb/frHedQbDRzTxbl2VtrpnYLyjgFn7evMumsXN+5R3sGErMfrKWarLSwH0hnAAAgAElEQVTYzjrf2BMiIiJ3r5AetM+Ppw3bBMooNUP50Yta+fbpsqCXze1BtNkmaJ2AD1rrYyc78zye9YU3KJoEyigfwfMf7Mfz9TledRy2GgMqzfHtswwy9pMoY5RJVGMyk6Vn+6Mxu51FrGxoOETinHiTRd1TLKpXLAx97ZeUDBbXGjbULkmp4v1AvPWz6DX6nBkRxC8tI2gyMfg0sXtlZ45fpr5idu8eohjknRvCjNkrmVurDhxBaApv0rYFVCu9nhbEzk4V2BW2UUs8eXttV88xN4jlVqao7qkNStGiqVIr4vh72RG/RMznvbo0ZzN9rE0Z5KbFOoaIiEj81BgREXG7hyc5q5Wvzqms+pZXCECiW2MM/9bem4xEwFv4BCtDX33srfHEgub1EQG9/M61Z+mrZRPaEX8uOqLi1977Oe9zXhTLdB6OiGbuAoo2difO0sf6poKyXgRo+8NpjS9GracopOxM4k/7tqpsuFwnxrbvhYx4wwgKVzIPY629nFRzDPMIkMK6cOL7d4tARx/yUKSTFEpc3NVuuj6nVzNELeubI6F+lIzs+kQNeBbvjCALZxvVvGLcAeL6dhXJ1Lw6FCAiIq3HsT4hOdV2CI8e8/x9SQHNtMgO4VK3H8gnoSydfFd1VcVLHYbCqHuXBwk53IM/6HENFDngm+qOOzmM+xv/EaHQ4C6gi81Z+d5pD8kmhM5Vz9z7BLrUmp9oJlkm/LP/Nnl2k5ksndgf9exvPvyWFVuSxPYX8ebFYapcMpM7sXSpCjQb6OaP5y15G7Z8wBLe/PeiVX5xYDOY27ZeeKxJtj4iInJ4Y4iIiAzqofaqHpXMd9Z/AkI4MBWm+IsD8Vl4PbxI6E4VPy0aCiM6O5YQ6JsWlz19BkdgPx1Z5dxQ5RmzHOC4oyztRERk6FOQQpkS6AfeRqlGCNkyuouIyLJEdJqOSzTPZcSbHq7DGrRJUsUnO97hGce3BF1cakYOfoHgEWbO8tXH5piDd/nkSDzc/xfHy9YQBGS/CMZ9sJuVPuf3cmLSu8vJely/Try8uQy8hVmnLvpYL3c4h1zrKf45oZHKN/wpAX6WQmZi0o0C+pzD3vAsXV+QDdlxN0ZERPYU09pUhSpOwxgCuvArgkcsv4gmjAtOIEW92tNHREQK/uUpLq/tj/ewD89EWgyNHYJKELvfngkzHn9NNSO1b8t6fDwLUotwxZv29waV3cySSR+7zQOdh9PyEMbYwD2UH8z6+/QCzUSPUb3gY5N5XlLqURBk5gfPstUaPsQ8QulNltYBxezYC5eRqTjPT66McCVfbnIv59b7y55+oaC6zJfeytev7+WfzOTZTWaydGKmH7vJTJZO7I/C+G/muSSsegtZuAEpoW2gEh6MaQOMPtGL6p7pWhrnSDZgSUIYqZMHnir1ZuNOWiumAt1tAtcBHzMfB6K1H6mkr2FXkd0+zwOcS96tVVklQoT07I6cNfDFOH3O65nUEFvVh9S5/ok0pZWHlhJy4FydGyu54+hQIHjHIkDmrb8hvDq6A+We5FO9w8o58507SlPDHXEcuJq7MvXlk8ZBDDVdrN7JB8whe0rFIklNq8l321Zm7IXCKnX4dBBwt/ozSKulyxHcHDIQNjQ8SP321CuB+pwbCwitSgVAGvUxB8p6Dee4N5wVwVi2E2GAjS0w93AbSNV3X7lHF0Yi9HmwQnVntVpLSHSwM/fqeSR9947UR5oc7K/Itk5dqNneNY11Nl6EZJsyjZRt//ekrma0KabPGdKNNNdODUY/7RAgIiIF7iMGCiyP0Kr6epUObFoEUq3IY8KRqUvoY+C/B+KucWCAOv5bzn/vFNJoRy7xDP+uzjp9iyWWuVVe3edbF0iTLbhDCnX0HQhTx8P0ZlhgowhYi4EQ1Es1KW2NdZCd0Q1Z60fzWdMsLuqcei8nzdtmbKyYnVD9/v5uJs9uMpOlE/ujopoC5S2M/YOrSt7BEFEr49Vb/JwFb7eMiXYiIlJhE4RWx9ukei43ZexK74X6nJK/8KIdrENERGRhE65ldhJkz7nnE/Wxo50oAsmyEYlizq7UIW/djccf6oDMsOA+1QN+2Wtqh5PMkJvGheHdzNP4nnybtKKUcqpX+/d9eLWRebiOmoOQXO7Lx7FkYJg+trsm05yjEXWVdkPe7U+BMHKwh8wqf2ClPqd3OF7UOwkiqvkHkMnB9aCZTh9Vp5emL0hrVYhGWju0NORS9/MQd02i8PAJQYpAG2rEM5V9DGr6EkyaaOgDvF0hW0Vs2a5HhDK4Jud7qwVpv0r1Ebts74t0tVfpRH1Otksgk5cXWadsy0Ax816AapKbKbLzXiwCkj4nSd3Nqg1aulCW4470gCDNUF9JhC2q80xsDqY/wu2e3N/zZtyzwQF4eJu8ipTM2IjjnhdIXItHiI5alafAZ8hx1UMvwYk1DVsGYfxlMWnSltl4FsaPYW5hm6v6nFspdK1JS4LcdGynPTdZEEh93KlI29bLWZd8w7hXXnNBLR28QV8fNoAUf/sqUJ7VHTQ6N+sm2eb1WF4/TDaJakxmsvRsfzRmT/yUJoGHEiTUHq/0eqySIbaqiAc8m5+4zLYTHmWPJkl9Y0E81aqD6kHnlF2LlWtQXXHyGCjgxVjSc58LWupjt8aRJvIKoz+9oRax1qVQvHL+YggqFoXf1uc8H8r5FR6GhHe1C4jhdDjdRMZXQtgwfo2Keft2oleeXxFSSxFDSbdMNif+t7+UTR97YQHf1fIHaZTWlYkRI3rg/dcf5/ynLVD7t4WXIR34VNO2NKqLNHVhb2Si4b1U6upRJGnEcofwygbXANbnFmmpQdUQ5Jwrck2f83EH3mxmEL3wB9whNj3xieua4/dTH3sqBD5lyk+ucU0LvNriVNJDfWqBTCp3UMVFn89xLcc74LGsPOkUlGsiiKR7ZtUJJ6hODP/WhTg11YhXe3eDIqMn11j/WudVD70eXlzjjLysYdxRFso/LzJUj3Gs+Y5eStB1I5Ky1RpTWZeZKxkT/wXk4PZZdXKd9Zbn8fIg9iT4eBck+CQQxJg9I8U5lyapZ2JKEYRbdRvTZfZIGe6rdQsKiEb1U12WL52DX+nZgmvzbcs9KvdK2wPgN9eTa/M+fc7blaDgAt2WS+JHhXL+bibPbjKTpRP7ozF7QbvCxv7TR0gWNwQhQxKr659t78Pbu9FP9ors1Rtvk3kPktdJzrCM3RzV+6n3UN52V1cTf004hic+Vp5jHT8zVH33QQr8I51BDI9XIIYodRV2NuoHPb9eFFDHT7LnjW6xDTa1nq/W2+4mxx89CO/Q9qtqhPDBDa8/tSNebZ0nb/5WvTWvUVTtOOqTxLmcnMyb2bIIXm96AB7MMI5YLM62jz5nUzGKHrIewAMXLQdiuXKC7EKSqK6jvT/xll9mIEY/2IrYsU0t/v7SJURERCq3VYU21u/xJL1WIEiq3guBSbsKxK09rVQjihhtJ5k+64iP99ji7bqMooipzWhET3OXBetzNjyGG6l7BySVtFjb4y+OWPpTzF197NR9FDKl7sRr7ipEjNvuKff76gNQTcOLCvkEnmNdfs0DQcU95LOF7Tnu2bxkeW69m63PadmJ7+lhB2oJXsOf5+dwbvtKztDH9rOg5NQigOxK0i1ieKds9KZbdQMEsShU9Y3PcYy1tGxAhuBZGJLquKrs+Nv48T19bC4LeKajC1izz1oBlf8uOIBfScT0OX2VbHlhBNkim+JhUicuUMJ/vDXF7CYzWXq2Pxqzf8zzVfa0vyTmW4nLsoSqN3KOVXi3o6t5k208jHdrZantYf2VwoXBYSpmHxZ1XkREPDTGvtFmcpsDoum0WiOr4gQeecHo1llMbrZaY2LfFfG8mT0P4oknZ1Tx35ZA4r42BeEG6sYR+5YfSzyeUo549sl21YM8LJkSx/FLiNlyB5CXXvudXOgbS/XGbxpF3Fr3EDFctvMUU7xMQQJ7wkcrV41UbPmJjBSbXDPHwze5RZwfdQVE9H6xQg5Lw7UmD2XxNuUWEjP2qIEHnu2EFLNDAdXwYHkpnIJjMLLS10tAWCdaEFsX0/YLFxH5uQOuIfUTSM24i0YaM6xAJIlpNHRoMk2V0G6vQ6FLjcUcr+9xWOfOw0BYQ6JUI4ci1bgXRYKIbY+VxtsFadzGwZtoAeIiFdrYXIu1bOxNc4mj3rQSqxZE4Uqxn5xr2JnJ+pzRG+lcXDwJVFDqGvd16kJy8WMO/dDHBnjxnDZag4bD4zz6gN0JoMDbz0AfR3I91OdkbwDCeeYNUsh4Bj4kvB/3uWVsUX2sazni+9Ja04rZ/dF0XHIjW7FuLL+ZrbVUJmtBBKgxeHoWeTPNVAhjMpOle/ujMXuejHmN9S2aiddW1FObn7vrn0VMJW465OEjIiJfLHnbzamLomtZbWL3tJpqx9T+W3jDP3OFge6RRhwVmY24x/GiKgrYOJn8tJMVii3jZRhjx5t4u8a58CxlI9/qc7Ls5428MoQ41tyZIpSCmbT86F7OyWad8oxlrMk1t43HCw0vxjVWHYmnWd/XWx/rkUgM/cCO+NJwkz/7+RPDDZ9M/tWqrfJ2p8/QyqqALQxy+yT4g9AY8uJpnqo55ZXdlAd/P4DnS7YDqWSaQ773Uhqlopn9FDK5fRgvej4PRSjXl9Iu7IQtnmxSd1t9rEUtkNWmDhSQJA3E+2Tvi0e/dpHz93FUntd4j+8s3Qd1X6wnc8Z8QwFoNldlQwY1ApHcaYG+oeZlPOzv9jT7KNYXziOqv9q3LciF2LlvVzz60O0c1+YoasU5o3iu9jx6p885c4fY/9tCzq2wHff1/Enu+/TaCgW06AwC3LAXvUHLKSCVatr+Bq1WcIyzK9Ruw+998ehtVqP12H8V1FrQA3RTslAZfWxEKXiW0HtkOB6vA50WH04Zt8MGjvFoqdIjLLsI/+Hm31mqfR0nt349NcXsJjNZejbTj91kJksn9q8IOoPBYCkifiLiLCJGEeklIlEiEigidiISIyIdjEZj4j8cQkRE7EobJeDwd1nnBPR0WJFb/+zbMdJXj7WupgeXkg5q2AY4HNcKqBwTpgiiIheBWdUGUxgRmRP00nMscH5uV7XVbqdhQMAuH0m99IsA+jR8TjFI8VLUjHs2VjLHeocRVfg3BJa2/U3BTc36hARh2b1FRCRnbtWJxWYX9eTRGYBod0by9159IFa6/6VfXUN7juNTEQLuthfy06Z5EFns7EFt/4PbGfQ54UYg8awvEIuXnnI8twuEIWm/HuhjW/sCXQ/c4Ht+n4FwKrPAX/t+rqdwsEqB3k4AOrc8Qaiy6BEdfgrWhVR9/ay3PvbtGtJ+qxyAtHNiOE6dt4RIZ87RZXbryi36nJ6TqNee/Jtw4/nzABEROVcOQqtwpCpQqb6JFGH9gqSsErWWbZn9gfVNj5NuHOqtQrsuZ+gJ92UoJKHjYkKja6HuIiLyzUKTSb+aoM9JLAzB26UI98phF9C581zCkxtzK+hjZwVzbbaLQ0REJGks4qyaJ1nTV52B36UrKwLNdTOhXWIm+iGY2ROm+bRgbIvNdvrYqTcgLDdbETL2Pc019gvl2XjYmOf/xCn10/2lCdC8vWwkpss//6T/rWdfLiLBRqPRUUTKi8hDEZkgImeNRqODiJzV/m4yk5ns/1H7bwk6g8FgISJ3RMTe+JfBBoMhSkTcjUZjgsFgsBWREKPRWOq/Opa5rbOxbM8g2TKCN9s9xxT9s9L7efuFxpNCarWL4o+lnfD4D77hCYzrFBoItoekyHsSb+y4lndXiTu8/dp1UNLB6mcgTOodx1ON+w2Rc8YBMq+rtpPL2SXr9DkHc0BwbetGoUTl4aRD1ltz3MNbeHsPr6k67lSth+czdqSsM/k6PcqK9WbOjLKq0GbGXAjE5wMgAptsRmSx5xAo4PEsyKvVfR/pc6b3xOOO0/rGD1gJ6qjTBtHQ6gpKlGJY4iMiIk97IRKJ6cXuKxOyUKiyLAZvnbpBdcL5cRZvU8QBL72oIumo8BCuq8tL1Te+ZUW82pfF3KvKzUmPdr8P+ph9GuT1rLy6D6vysh6dw5CDXplMyso1N564fTflpeWg1unWh+/Ju4CUWMtOeMiu3UmDVT6ovOjDz/SyD/Kgi2z0d+aOmkrBUP2idqzJNiXhbdQRyfTKxaT6vuWlvLRmN9Kz5+aogirzg9zXpFVc8+vZCGayHifl6VmD1FmVxaqTzPvZyKxP5PMREZH7tyEAyz3kWatSUZGSpeMolR04gzXLcYU+hQ+LgORSE7gvY5fn1+dkaUthTWtnF9n/8pq8S/n8Pybo7EXknYhsNhgMEQaDwc9gMOQQkfxGozFBRET70/o/TTYYDP0MBsNNg8FwMy35438aYjKTmewP2L+J2TOKSCURGWo0Gq8bDIbl8n8B2Y1G4wYR2SAiYmdbwdjPYC1NXhCHGHKqWC5/BN1LZ33FkxxzpffZp1yUvn55QCFMefNL+pwbYdpuKNp+agO1nTWcLPBgm/1VGaN9XdJLgZ3ov91iCIUj5QqQVkkrHiIiIpXuqH3PnlYh7o6qj2hhWAPSLDNmgQquVyKWHFHzlT6nzmhi0pfLiDczJGn7ee1mbuv8apvqihNJZznlJjZfcgkhy5uqeJgDb0nN5X//XZ8zZzqioj7jEbu0tyCQnT0AL13eV73Ufe0oCHrUCe/gWhevYHjFGmY+rZWIjlPSy+WbmdPcjxRl9khu9bD+/PvFYOWFzmcGWW2YSiovoBbXUesCXq/nCa4vg4sq/pk/Ag+4boGdiIicK0EP9YrzkB7PuDhKH/sgmFi5240YERE5qvE2Yd4UzQQlcK15Wqi+e6+E1FjNQuwhkLM4qbfj7Vj/kQdAfQN8W+hzWl7jvPPY8gwum0v83Tcra3Cva1l9rE8bjh8n3JNle0lVWp6FE8rRmH5yB4srBLe6MjzR5Fncqwt+oJtDyzm3LG9j9bFt53H8DCHwWmd93UVEpPdc0MuxhsjGJxxRxUuld1A8UzVujVz7eUf+yf6NZ48XkXij0Xhd+/te4cf/RoPvov359h/mm8xkJvt/wP5bz240Gl8bDIY4g8FQymg0RolIfRGJ1P7rISLztD8P/ReH0eyl/DRMlvVbiUfmV1Eb1oeuQOC/dQZSVMuKSEltNuJdFzQmji2VU3nG0c8QU9TNyO4u3m20eGYrb+iC39ROIbcciYezpIEcvg0hZnMYi3ca3BQWu81oteNJWH3evLseId5pFMLfT16m2CXqCC2ErIPUjp3bDLSLmhyBJ7l/gcYO3/z5ngiXs/rYcsvwmhdWI6FN0Aol0lw4bqbziEd6p77W57gKopCZ/ZCF1rKAwyhdCC/YuZoKlUK3UEATt5tYN/IqsXvvc3iP8FZwApVWK4Z9QQRj2udDpnzFB3Q05gZFRWtklT72zCAen8YZ4DJcN2o9/+1ATx0ageDGblUSZGNbpLNxk4jVqzaGPf8UBQLKlOWyPvZhDniUShuY33QPUuRNdsTYeVtyv9sfidHn2Nzl3gd44LmravdmZkmKRb51hWHvba123u2ucRYdviKueXoPkdbG3lzPheNV9LGTXBHjfJsAL3GoObH5bktY+rG1kEdXbTdTn3Mxhe/65AciWfKEmD3fBLx1nt+O+tjcB+EHRltxTQFPtZ2EtHLrikPgNioOU37aYw7rPK9jfnk3Q3XC/bv9W238UBHZYTAYMotItIj0FFBBkMFg6C0isSLS/r+YbzKTmex/2f7Vj91oNN4WEZf/8FH9/5svS5IUCZXnEj2TMsyZRVRDyNwtKZOMrk3xR6g3nw0vTQ49x1ji5vg4Fd80zw9zXyYH8VOD4zDSozPzxlyQQ5WelumLF7tsQQHJk72UOC6tzbm4fOHzD6GqqYH9Hjxj28uUJO5aTCSzLYo2VYULw4jfOfZMn3OuKufnmomYfXRP5KWrZ8Ev7C6tZJoxlzjfIh8pxHCJ5G398z4e3tyHmLrlJjXnyyaY/255QAgncoNIKhYnF1/3L22pkp/AJQTbUIQzrzX5/HfhMMZpnYj/Wq9VDTOdloFinuenb3nT5uT8/R7BTN/tM00fu7gm61+pzjwREYl6wtgL/Ygnn9bTmjIMVI+JRS3kycvduQ+VzuFVb3qB7EZk99DH7kkkJu/oBK+ydifcw+OJIKLz591FRKRLhCou2qe1qkquw/F7XQQVLKmAp123EX7CJ/8GfY4k4O27r/UWERHzCO73q2oglq8bVF/3tZpuImtTOKAiR8h/l3cG9V3x9+F78t/U5zz04N54uYKorJM5p+Lv4CeK3o3Tx47+BJK68iJGREScW9N738UJ75/lMFxEBgelIenSGNTSs02Q7Pxm6htvMpOlezP92E1msnRif7Se3daYUaZ+zysVl5GaiS63SP/MJxW554szkElbgkijrRcNDvWEpCpzSW0/lG8qabkFHyB7oucAV+MtgZxVuypImzUVWHfZHxGE72LChsvLIURiK0NAPeu8W58THAncam0FRFuXGQh3pCgiF5s+QPVUR0WKPT/J+aYlI/ON3IIst14XqqL2P1FbUpV3pOZ9w1Kqx44b+b6yZSHzTmYhbLgZoCSkmRuSuhrcCDGNmQefTR3Amt41qnMpVAmx0dsLEDgND0EslhzC97VszXWVqqiq9s78osuMsQyhSadqpM0ClgB/26WopMviPaz/x6mEBa6HID3LvwSKnp6KBmvgSk99TqXzhAyf/ZD5Tu5A2BaUBWLL6r1KKX0ZQQp1xGjG+J8itOt+Eeh8pj2VedWupepz3i4hHLsezzkUNCdUmdaW0OhzLqS2y0rm0Oc4vSTF+WEP4WDv35Budd8BiZ9eVr3y9+4iJfYjkoq+qjcID6KOEjI2zsH3WmdWNepNDrKmexMhnbt5IYI5epMxZTIpuqtcBW8REVk4jXsT+IrfyLKfiI18lvK7yFVbhQm9TrNOTtY9JNs11c/u72by7CYzWTqxP1rPXtrB0bhp6UbZvpK3rFUVleba5MNbzmIhqbFe1ghM9qfh3QZncBcRkTeyTZ+zcQwEyo84SJmTjSCtxg9CImmoqQQaHlMQwkSd401ZrCfChqOf+PfWWUn5+Dk46XNuRfDGTFpPemjVS0iruvnxlOes8TjTjp/Q57gMwXMlf4EArHIPDzAtDbnmuLOqECawP17AdzEepeQzJMNjopg7YwqdWIYUqqfPGZiHWqPFzniz6qvxPpdikck+3KxSV4P9tY0px0LUmZ/m3Z5BW4PcfSATSweq1F5Ed2SsmfsizijTj8IR99KQS5b3P+hjn3rwnb8tEfrEZ4LszPODawxvSYHQzAyP9TmVh3Atzfsx91p30IDXSjrGDh27XR/bqytpJMcIPst4j3Sj10FSrjN+2ImIiOcedfw3F/C8Z+xJ6xZ+jLjl937Q2MOv3NNZj3fpc6yPan3wtK2bzxXTOtN8giycHq12nOm4GlR0qgYePTQtRERELmRAKlwtGiJ5Uy9/fc6LEtwj8x94ZefhpBQrtsM7j3/sro+1EAhYQz7uVbwL6MWlto+IiEyog4fvPKSHPufhNZ73dj5ZJa52pPwI/2aqZzeZydKz/VHPntEyizFnnUIS1AWPeP/kEP2zNWakEiYcRDzjZsubq/UD5KvXh1AIk6WSSrMcPYsHfD4BD9U/kXgy/yLi8AMJU/SxpYYR0yasx/svaMg53LPCU23rR0nt224F9Tl1jlJsUM8Bb/FB25Wj41xi9fJX8KIvPqgUYsm3eJKIEkgtS4xH7NL9FpzA7uFKoNFcQx65LpPKc6tAvGXZnd5x0Z3wMH6v1+pzpCJedPABPJTvC8p5B1RBxrpoh9o3LHsxvOiyGqT/fpWnI4pracZsMqdb7s3TKqY+bsBr5qlCumhAO9Yw6BPpp4Ruai+5848Q2JTeg1d79B2vFnsED7n4J97PpaWKeb194CwOT0BoknQNTmD8R4pe8md21ce6WpCSNOsN91J5ADxLg/7wIG+nkvI7O1PtElRzC+k5n8mgIrcZrG2VvZx/qfWIthZcVB19NndA5OJdCAQx/wcx9ZhACrZqmY/Vx2YvzD1J7IOHve+jibFs8fgXNVHTuJuqb/wLe3ioYw3pUvv4O+szsyHHMLurJOC9TpPOvPGQdNzUKE0+25W4fmkK1/7pzDF9zr0gRFEN62WVaXsOyfO3702e3WQmS8/2R9n4ckUsJHRlPRn2EEFD22pq37ARuYjZf+RE+HHWESlk2jYaMPS2hH029lcCjR33iXm/F2ZucG7itEhHpIUlN/noY+fWoPPsFxfkh27HQQOnrfGuZXZ6i4hI1yrK84Zup1xy5APi1obhWhlsFG/+yZ54tg1XVI+4a/PxTJmXscfY+5zE1vZfeFPP7axEQUe7wke8iuR45rXwQgPskRM3+ol0dWeU2ustzyttP7VV8BRZV7Fexz8hPHF+kaSPDXqMOMQsgfi72WzKU2cchSN4XQTP1V8r+xQRaXWRgpell+BVai4jM1AsGK4kqqVi7uOf0U+/8lmOn8OZtSw7g0xEox94qSMV1Tm9z4OXG/gCdv++DciqgKbV6bYxjz42cgHn5+gOmx1SFoSydzzHLWoFCjt9R3nRdg0Q5/zsCGrMuIdz2ZACIvxSAQT3pHGkPqd+BsbkmU3J9av5oIOc+eATHjgonmiVGUjq5jhY/1NlY1gfN55X22s41Vv7f+tz6vqRLdqmNbYok4O4/G0JOI73d5UEeVJeBEPxoWRO8q8KEBGR/bNAj8lVD4iIiPP0WvqcIC3DcbSwp3zOfEv+yUye3WQmSyf2Rz37y7cWMm11A9kZAMPotVftXtLqspZbNse7HWgO017uBw0QXsdSEJPhk2qEkLCALp0TFxHHmFmRU7X6QTy72lL1W7cdRnw3fzue6VEu0EVwKZjoboedRUTEfZ/K/dfwxDNOy4CH7z2SXGqJRxy/XWfOP1sLVcr//R6+LFQAACAASURBVAhdZE8VgDkOfoDXX9eapgcp51W557W3xMqPzWmoEVyROD+HKzxFp0YU1Tx226PP6e8JUljUnth9fm2Ni0ggL35h9zJ9bK85SCs/72b3mybN4ROWrIcFXlkNNLCzUIg+p9AsrrWPH7FiwhXi8K+HKd291l3pHBqEIhkt1RvvXC2BWqh4aySwRQ/ivVsOK6zPSa3IfU2Jhy9468g9HPMCdFZo5ml9bImjeNHRudA3XAskdr91jNZNfvM4/p2GitMIuIVXPjgUTiCHNZmB/A8oitpbk7X0LKf6rDRZwBrea0aO/3QUiMr/B3/PWEOtf85HxOb+WfnO2BD4m4vd4Bxm3sDz5o5STT5qjYZraLoXz75wKNdYdACZoF471fF9t1DoMr2yxkPNgGn/vAjok1HbLy7y2Vd9ThsN0cZdLCIXk1RDmL+bybObzGTpxP4oG1/SppxxZffD4rR9k4iI7N49XP/s8QbY+Ig95ISn5ooREZFqGuv4+CJeakmJKH1OgQAY1lFl+DOLgZj6Ki9HmbnrhT520mDevAW+k5P9PB6mOvaF1lYogTd9+MCD+hznsj4iIhJQBw9yegBv1xYVOdajUP7dsoxqldVuGW9Z6ykw+d37kxd/cJi/J6nDy+uTxJErn7OX2ZgY+IjbT2Ftc80CWVyPUU0w90/hzd25OX3jn/YHkRxyIZ/frqHaxdVSazHgEwaCKOiE19mvFayED4LF/jm/tj7ny1Jiz7pD+LfjDUFCzwKJpR3Gq3ZOPrOJ/U+VwnM7xhNjf50L6sjZBk/8pJLaHSVmFp+t0LIuA8exBjesyGwscVb7nl0eCTu+8RXxa+3cxK1LPOFVGu1Aude75mp9Tuxm+IEpmSkciVpsxzq5EeevHc29G3Nqhz7nRmHQ2AStsKpJEpxPsNb8suXmzPrY/KtAW4nxXFumUyDSmTPxxI1iyFakxCoEN3Qr65S0D1Q2ZyXPeuGWnFtSIZWT/1kQj72oNzH53VsUYwVt5M95NyjU8n+oVINXa1NSbLvPQX5tqSfGhNsmNt5kJkvPZvqxm8xk6cT+KEH3PWe8PHAbJ0d2AMMix1bSP1s4CUi5Ngspk3wN6bx54Dlpj6Y2wPe6T+z0OTfdgWqdllEckmZLeDBnMCRGmXjVL63gdWDP8aeQeF5bILKez+Vc4ktCsnXNfFyf834PqaTn/trWxMM5XoNqHCPwOamgfIqzkha+hAldHwGzL0xCljmuubuIiGxeelQf2zorBJ/7bSBbjyVAv2fhnMv7klpX0r90SnHrBfnVbzMpybGprNvOAAp4JrVTkNxLk3222EbXlhc9EMjUOsu57Q2EgMrtprZsHjsSyNo/jXAqVz3kq8PPcfySx5V/cO9PiPViIQKVHcfoI3B1B3+3PglpaL+1vD7H5xMilBpPgOv1l9qJiMjA7ZCISx6r7kWbfkLGusXSN6CVJ2O+XCBUKVgdQvD0GlV0Er8SQis+jhCxzzYg87A7iKluv+T+ei1Rad/fvhTFDB/AZ6mtCXfMviFWKbxFbc9UyogE2NWZ8Ml2MD+hEk+1LahW05no6Tsliw7PjQS8wS7SmXa3ICVT40kH16lioY/1q8TzvjyG58bpF+dvOyBAREReXoCcvBbWX53TfURkzTxKSegB1Q/x72by7CYzWTqxP0rQZTazMlpnai0/byGsKFJCta371ZjUTqdnFB98qLdPRERKD4DYyjYQgs7JUsk1861AYBJZAk/yrhyEluUZUlcWpdVOHveL0rvulj1v2ZD+lLzW3ko65Ocv5KFV5h/R52zooPUcTwZlXLhHOqXKEjxY1FBQyOYHCfqcyXnwvFse8NlWJwQPxz/gSTrsm6OP3eIF6bLWkjd9sjVE3JninEPdgaSE1i1U7+SfLjQMqtAeoUbBcIjF2jUgznoE7tPHPtLEPtfy4snPbeEcdk8DXQywJ/2YrU64PscqDI+b24fvrLoN9PKuPmOTW13Rx7ol42k7dgZ1VepPGmrKdNKMN7pDXmU7pwBkxzvAoHE9WBebwpCSVwogjDHLqrr+fIsgZbUllL51XQ9DnGXLBhlpmwSK8e6rvFndxiEiIlJlGeTk/IGIZ0rNQ678JZDvb99HlZWGn+Y+WGudjTNm4D57h5IiLlhVdd89NgwZ9+1cIMNBLqzBWm1b5pdXKLgZ/011SZr2kpTnzCaQkINdOKexH7hXLycqaJgaCCLpbQ/qvWBOb/zNMxB25dsNCT3ihCKqe0aBxsY2WC7VLkTIrU9JJoLOZCZLz/ZnS1wz5jBuzeUkletQGBEbrhoh2HznTXi9E/FRMSFFY1zN+8h6OMKKFamqKGGogdh8SBbio+q/ECtMLINU8UKhAH1s8z14plul7UREpM8ohCU264jl672mpHbjbrXV7ryi5MkcLfA+9TaTRivXjrftRFc4gg7t1+hzUgKJtYJPk0LZkURa7lJ/ih4KH1H7qg34gOhnxQdQy2x/YtG+WSi8qX0YNNJ+nvKMfTPiAT9vY+tmKytiSMMc0lAuM3bqY7sM92FdfIgDZyWx3h1OETc3eE/6K2uU8nKb54SIiIhfDrxNJVdKXg8/hL+Ym+Suj3W5gCinZm+uzXEmHEPWnCCKXY9BZVFjVOptYSHQRW4fzjf3QwQ5EWZaB9biCjn02YqcuLhW4vq0DN+z7w3pr8EnuD/F/tKw41M3viuwD/dkTid4kcmW8BZTvoOAFj1S3nraW3K1PS+DCMtnZ70K+eAx7beqgq0JFghuevzyERGRVndAF67ZEB8V+s79WJRDzbmgef3Nn3g+7Zx41nxz8wzubqL2Csx5D9RYthFp45ktuTbraXj66f6gkI25VUfgxafhkG6NvyLufedLxKMXJs9uMpOlZ/ujbHx0jlTpUO2FBHvzNl+2orT+WatPxM4VtuC5j2sCjZMHiMuvLYQJ9+h6Xp9zb3gMx3ElBrUuypu4VXV6tncV1UN7tz3ewKsB5Ywxs9hB5W0ePM15M1jgk7XVXm/7usKwbn9Om6KMVlrbohGIYPx+4Y28iuXU54RtAim52cDK709CpvtsGkzs9jZqF9rnnzmneus5h377KdkdfYjCkqAQkER0bVVIkhrNtcYcZk7vTjDHRS4jufx98i87vn4jS/H1CQVDtdfCznc1Az3Nu49Ap8Dy6/qcDgW55iwtudbJx1mXKnvhWcqLihXXvQdF3FzOZ5kf4f0PxIOOeiVy77rMUSWulhPJCFzcApvd8SXX83UGzP7Te2rfuXxruZ/ztYKeL5fYQejkRUQwzwYRuy/crQQy3rmIzRPr4yEvbwU9dTkE/7JC6/Dac55q/rC3D3Hwtqc0mcjogZeuWRFOyT1WnVPgeNjxIYtg8BvvhIPZWYPMkLc5AqCgJapgKNATZFhyIc/Cr8Yw6QHlQkRExLmB2kvu1G/4n5PPeHab9ke+7deMbMLnF1q2IUA1ZslVlmftcpdg+fpGle7+3Uye3WQmSyf2Rz27eeEy4rrsuORNhFEf27mB/tmrPQEiIjIxjBLR1O94+ua93EVEpM5jYqWiVmp/uBsHyTlWcQMhpF4lzml2DHb27BW1u2qNAez8+bw/b/qTvhrL3x7Z7JTLeGvnSmqL+TbTiP+2GZDJRmQh7+u3Bi/9xYJj9r+s9vWaUhQvP/Q3sa5bMI0d+j4gdj9mr/quZ23Hdz37yWeZ/MhlPz9PnHniE3nY+rvVXm8v9uNZH38k9zy6LKz21Tow+Ss8VMPBciU4fn0X8tDvcxCLXtkHo3+wMp+7WpbQ5xyahSz2xyW4h67ziTPne8Ef+DRU5zJgHnHj8IX0te/ajNixSTPGeq5ll5QmFVXWpZwT1zQmH/n77UPwmif8+L4jv1Ujje3ryEpsKgTyOJDHR0REcv4EkSydjXdLvKP29Ds+lCKlgGAamAYdBmmtNmfscCs8upuf2rFldCKeMag1CGVEFcqg98QS32+5rGTXhepRgtrhCdeU0QluyewqSLSuxlNMC1ey4vFDeG68p2i791TEay/+APu/c4VqyJJSGjRzUlPbnikDYx89gDLcBRagydQSqnnFhMkw9R3eGuT7zwfyT2by7CYzWTqxP+rZDV9eSpbT0yTnIXcREWlus1//LOE+OeVb22FEq13GA19+zZttaA6aOvrfUkRjtfd4nVuVQAgNGxKHh/rAvJ5rUE4fa7UEFdx4VwoWln8jnzknkVLUIyVgt28HqF0wjx+H0c26l6KH6ps5XtQwYju3AsR2vw/k0uc4nyGHukbLh07pQG44/yByzpmXq1jLuz8epdFRmkA8zg/T+toWjxv3hDWpl62bPufRPDxghjso6KyfELs3eggqmFBBlZOGWbG+E81gvotVJMbNqdXt7PeCP+hczF2fs7kmx423Jr+e+pPikx55YN4HpardTwMiuSfF7YknDz3mvMMDyf3H+Wtrna2zPqdwB7IRGbxxXZHmIKG5J2Goa1VQOoeKPuTc18TyWY8O3O9zy1nbuYtQGqZ0Uk0q56QR8/7ahqdttzqE89ZY8/I3QR+Lljrrc76Z0fDi2lsUhUmffUREpG1hYuy0wMb6WPMRPAvfWhJnD9nCPWp1nef01RSe29M3FuhzhmZCoVhrET83Z09aY8WNhYvINFchq7NF4VnmjuKas27VGpdGsE7tE0BGFx4rHmT0NZBb1Y/N5aaXKWY3mcnSvZl+7CYzWTqxPyqqsTMUME6VfhKfjIDm0yFV3H3/HDAodAwEx+271KgPXoiApWEThB/v76k63uRcQLZuBbV0WTaELMm+pISO7VAyRKu8wMaoEAiWrgdJoSwfSafVxED6mb20UWmo6Ll0sQlaFyMiIilhiFLKVSLt0iPZR0RE6pxQEt6JA5BazvRkXe0Ph4iIyGiNUAl/0F0f+/U48CvnOm2baq0HWr/swL6rTTnnNDcFCYc/oPClyUxSYiFLEV1k8yBMqPxKFUjMiEW2WrAvgqLmC1mXCj0RaPi6IdDJHqL6sTWrgUTVoSeCoWNjgLjv7Ahz8nkqgrHndLrOzPWHrMpwgnsVeJixrvOA8b9/KyJ20RjWpeZxoP7kRlybeyLE686/7BLkp20xXTScQqHrIZCHVUaTZrS24PyXnC6izxn5kLCpW2Nile5XgNXe1SHxJqUR0tw1Uz3cChp5Dg/V4v62M3KNJWaxQ8/s+aoH3emzhAPXK5HyrPQKKO7ZGEL56jMIu5kTvPQ5xgwUx4ymsY9sPke4U3gd137+UxZ97EQvb66tFSRqiclIbM2nQCB32U8Y17GaIuiWtiUdXaFDrLTZ00/uv40yiWpMZrL0bH+UoHtVwCDTBphJAzNSBXfHKoLOdg4ply5ar/elw3mzbb/GW/FZsLuIiFwYU1af8yMQSWLyQ9JRp7rSWdM3J33IfsxUnn1cLbxvB2e8tdVpygprL4FwCixAqqzkVUUmDVjFriU33Ul3NLwEQTRqJ2/X48UptPEupFJL3U8jQW3tD/k2/SAkU4Hj7CoyqYIqVBmvkUZRPyHoGk5jXY69pDBmuCYD9lysiiqWFeW7q3oj8Ry8GOIxKZIuK+613fSx625B1oVfpPPNVn/WNPkjqZ9PAVqpbtHJ+pw1U0j9/M5B2vGuC3//fAjCaPhJRVbFdCN9takta5tlCPdz4V0QyeU0/r3jT9W/v9kk1t1XS43VWoOn/byPjkHh71TfwNjqiGcmOoBe+rwnxfm4JUIc5z2k2TpdUqnPLpVBBp22kP5LygXSehTPMc7vg1R0KqTSaROdQBsrJ5HK9cmKx62emwKijlfVjjmjrCEQMyVAyg6/BSo6uBQi7dR1EFah7WpL5TKZENpsb83x90/zFhGRXltY0wi/YH1sYnO6EG+ohXP+XSlARESiXTie5zyIum5V2+hztiQgJ+5l5Svfk9T23n83k2c3mcnSif1Rz17a1lJOTmol/YfT22vDFxWf9d1NAcTvXrwFLx4k9hk+AK8XPJbY2uGHElDcKEbaqdIJYtArLsRhhsbINCeu89DHHp7mIyIixnsUaRTYhHfIe494v4m2g8vSoWoX0dHOoI25T3gD54/Gg8d9IW3n8Zt019Vz8/Q5/RJIfVTRMlQuJemPNq4s13V1hOqx1ioP/cJ/7kBeWs+fzz5l5LifVuNFT89U6bpsP2lk0eoJ//Z0Pmknz5fEcJ2KDdXHHgygsCY+D+udUh7BhfkYYtKggqzTRxcVvyZd5/ojl+KVRx/FMz5oAfKZsuSAPnbRSjz56cFcR2YtTK28005ERC6010qCw1VHYON30EXSITxsaDHO8dxqJLwtOt7Vx7bz5N5Pz4NceF5pyqBbNaDQqdhp1unWqb+UJc/FI462hwOwOcD5tm4G4ko5xt/3jA7R5/QaBLcxMxcevog5XvrVUDig56Uv6GOTU1m7zlpPvo5miGe6tyBl3CEDBTZDvvXR5zSrBtJMDYJjmu6K9z9tBfo7qSE7EZHqMaQTvaw5XtN+pOWCNTSZZQmcxItFFfU5IxN5ljufDZBp3dQeBn83k2c3mcnSif0rNt5gMIwUkT4iYhSReyLSU0RsRWS3iOQRkXAR6W40GlP/8SAikscih9GjShkZGMzb65mrkiwW3krhwr4SvDFzNSKWswrG2xU15/O29dRbcKM7DLpTft6cDV4jBHG2gtXuOUEVSKzviBRybDCey783c5IsYcTDOvO9oZ6qdHBaP1jsccWRT856TizqdRyU4ZQXzzu/lpLlPsgMmx/7iHh7Z2/ib9evXHOyx0t97KYOMOdddiF1na5V145zwzs9WUHhSiajOv7yML5z+Sz4g5nuxNSJmZmcmKZEQR02gAIy0INB6q1HDGT9ANQ0zpvjlrqmOqHWaxQmIiLlkpHdNnxK+aXzZxBQXI4R+tgufvT0D37JfRjYjgzBsQUUOj05QvGSX04V8wbHw+Av8iK7Uv0YiGRtMwp49r5SAqVu/ShaKd4Zn7T6M/H8IHeOO/4qnEPwrOb6nEA/ClPyN+bcZj1D3rvHF++8fzxch1Nu9ew5lUYoc7IBz8/G49yzJ8eR8noEqWseV99dREQmFQYtvbYF9Z2MwKMfcwdNzlwRos+Ju8O1ujWgPdem3cTuZzuQRSiZpGL2HhURMbXsC8tfcRJ/nssFysx2n3uX0tVXn1MvjDkDJh+Uw7UXyvvw2P8ZG28wGAqKyDARcTEajc4ikkFEOonIfBFZajQaHUQkUUR6//NRTGYyk/1v27+N2TOKSDaDwZAmItlFJEFE6onI/0d3bxERHxFZ+x9na2aTySDjbbNIuyt8bQtr1Sji/BNiQmnHIQdn4i1YqyH50jZ98Q6DC6iYrukucsAbvYn35nfnuDZneGs7Jal9tYNcyFc21HY88XrJG3iHF+zw6fmwtcPvKB5h+h3eqmO64CEt1yL1NO8PusiXpO0Bt+acPsd6ETnP119p5JBhD6xvzq0giKu/mupj5ybB8q++w5u9ZHl4g9RgmGmrR7Q8SnyumnwMT4oREZEX5niW8WMhB7zzkNteGKV2BBmyGG7hWFXivBP2/JmhHFLLRYcp0tlqVUefc6ceMej+JiCr4EWs+9nPMN92nkqOOaKxu4iIPH9M7O5xgr9PGYuntD9J/jr7GLV7yRsvMibzP4OwsuXAAzdNQLo7ecwXfeyaENCLV3tkybcH4HlzQtLLhUmsdZtEFVPbavvA3WsCkz53NtLa3IVhuZutA+Gl5VONOUu5wSOcyAbpULZ4OxERca+MdDXjN9Uc49gueIhlUzj+pHBKpi2P8jyNHg5SmTxMxez2b5Fk9/jJOvTICfrrXIQ5G8+o4p92EynM+jycvPoXZ+YU9iVDUDWBwqcni9We9D+3cc9uZvWWZLPN8k/233p2o9H4UkQWiUis8CP/LCK3ROST0Wj8qQ2LF5GC/2m+wWDoZzAYbhoMhpuJP37+pyEmM5nJ/oD9GxifW0Q8RaSYiBQQkRwi0uQ/DP2Pwb/RaNxgNBpdjEajS+6sf5T8N5nJTPYX+ze/vgYi8txoNL4TETEYDPtFpKaIWBoMhoyady8kIv/csFozM2uj5BiaJmedgHlLfW31z55rhJP5QlJKRxojIZU6wPkdl0kpReZQoo6azYGPpZ2p/z61jiji3EM6g/Rapjq5fo+H2PgWDiQMyEXq4nse6pvbu0HQFb23W5/zxpqacZcapHYMdwEvnS+TSqo7FoLFwcpFn7MpFwScj1Z/bPWROctvscVP1kYz1HqUgNCKMvDuPD2EsMM9FTLyQSmEFG8vK2lktapAvrdXgJzHZnBuCx6Qkvy6QlWAXd6mbRkUyDkdsEJMU+8gKazIKMiwcpsn6HOuTYbbyTNjhYiIpGmbHNbfAeT3KqKO7xmMPHbcFuSw69yAuJW7sz79y7Iu9eoque/brUhF5/3kXAwjCVUSVlKx+DBKdbr1W8xxXY8gHErbz/GPfkBEM+oSa7z3ZV19Tt0f9HXr1ZtruzuMtOzZjoiNRk6FbBt9VnFYoy6S1lp61ltERIo+J3R5pm35XXuYgvHZYwgDO7WjInLBDZ7Bsp8hyXq35vkp/8ldn1PSnpRbtaeEMIFeWig5m9SxrZeS+3pEEj4tXqFtA3WWFOL2dfw+rF35me2MOqnPeXuE5yOhu6ek/fqP3JyI/LvUW6yIVDcYDNkNBoNBROqLSKSInBeRdtqYHiJy6B/mm8xkJvt/wP5t6m2GiHQUkZ8iEiGk4QqKSr1FiEg3o9H4z/vFikgh8/LG4RVOSKZqCClazlVdWc9UIP3k+QqxRaADXu3ZIUj+AnF46Y/7QvQ5GbNA8ix/iycsV8BORESKv0F0US2DkhROdEJS+2EaBIa9loJ7d4sURk5/ZLj9Tlrqcwo/whvkyg1pmOhC6se/HCKSoHW8ffe7PNfnlDgM6bYygbTdnCx8X8bWvIntZIU+dsdNUksV2kH87arCm37LIMi2Jwcorug7tJM+J74gY/d8QdwR9hCP6D4V+WnNqbf0sVIcgqnJIVKQLxsD5M4lUBCzYiBEkeMgJ31KWD+IP5v3CFlcD1AYM9aX9Tv4cZg+NuUNXqh0KJ6w+UXuQ6tmIC0/X9KmVjtV38BgB8jGI3W4v9fqkP5bfC1ERETiPFS6dOIZru3EPgpRbk7Fg/dvh0d32IoMd8Jylc48cJmxezMgl125DSnwhEVcq4cnBVY9ckXrc34G0OnowgaQRMtYSLByxfht5AiI08f63IVoPTIYqXbpy5DDPcIgI5/v4Xo69lRy3EWzIPOOPUNa+7Mq6MUiMwRw257KT14ahEAm/C5rOzU7ZOqdttTNnxTq6D2LKbR0PxryNOleiEzfmSDP36T8R/f+r4Joo9E4XUSm/+2fo0Wk6r+ZbzKTmex/3/4oY5YtJVqcnnaVvMfIncxfqV5AWxMQuZj3wkvca4LQw9+ZMc1W4NlXNx+ozzk/lLe4MQvlmCWW4xVyRGsy0a+qK+vn64hCOjcj9qyVineOPEtstysfpaflTsbrcwppe6J5x8ETHPLjsy+ZiY+75IV7qP1mkD7n1AXKOmcd4s2/YStdZjp1BDnkH6r6xjcqxfyCA+ElrFrgJY6Uhk94OY94MPdjtdfboQl4xmXbkeiaPaB/mbGht4iIdB+kep91PYCXH9Wfa6sbTPnworK8oyeXJTW3qq3quxd7iFRVtzd4xFLz4RNuz+OeLXyk+InsLym6iPnMv40rgTT4Q2vkpzmnsm6x4d76nBrz8Fw2XYmDHT7ThXWWth3zjouqBHj5KoRIR4eB+o7koiiqYhTFSrfCSDtaj4jV5zTOxTX3LMU6Nb6E9LXODOTKP8sgFmr7lz39jnlwX1f/omhpXjQ8SP16mrS6QjV9rH0oHW7qj2d9jqSStjRYgSL7JfN83dqo9p9bWARO4HNm0shmrUGIrl1IvdV/YK2PvX8NlPJuMuii9RvA8uK3PIv90jjW6Ci1C9Hiljz/WTKNkZwHFTL6u5nksiYzWTqxP+rZU+3tJG6dvzzsiqDh0UpVgHHsFP9mZcWb7eo63na169Ko4LS3u4iITOyh+nU1bMVb7HGshhSOwlTuGUKcfOveJX1syUJ4GbdJxJwZgnnjHy4LovBN5I3ZP4/aWdbSiv282vSGvS4xjaYSnqEw7MWjiUWdj2bW5/g25JyexRNTPz5A/O3+CS+d4qDEEIFziB891nE8hyt4t/fFiKFHbgcFXKy9VZ/z6hVZA4uMdLY9ORHvFtoLgdGIfGpHlRzRZCe6hHO8KWXIUjz8AfKp/gDe4tExVVzU1YAgKdWDmLPcR9hgt4fEuP3Xq0KYa84U1lRZAjpKWMG5nI6FlzifhJd96PxBn1PZBf9ypTyoK2g+IqYHP0AXnZuq3WNq78H7rpmA3LR2LzoPd9AaU5zIyOfnKwTpc8yHgATjE2Hdv20k7q7mSLwfn8z65a06XJ9zcSwSXotJIcwZDwroYmS9Rt2sqY8NsCVLVL0Az8KZAGLq98lkJqaXAxVYlVRCqITx8E4jdnK+004EiIhI9DIyM+Ypardh54xcY/efPIdJLUAts1fAG+XPh1Q76L7qoeeTmyYe8U3yy8vFaq+Ev5vJs5vMZOnE/mzMHpsiZYY9k+ZjyNUu7KFy5hfGwWY+G4+nfeCiNSHoSkfUXvd4O07LZKPPWdYbT3KyJsUbT2yQvl63wVPWc7PTx7bIQ2fYsBvEyb1LE1td9ye+rBlODvdde4U2RjyE4X6UlTZUL6Yjk+2YTNOKlvXwAFOClFx281JkucX8KCBZMoF4e2NluoLOKajKYW+ehvne1JQ8a95bvOknVeYc3ybS6KJFBuXt4haCTJx+E1/2rEv8N9kpRkREalf318fmqsBOtSt64O0zWOEViraEmZ4Xh9db8lGJH8/lwOMetwBRRf6gsKbDEf5c2vimPvZrJ+LK5W/Ie1tvhAFfng3U1HI1x3ibTXEz+1+yy+nTrchBP0+CgynQmQYdKak59LFVtOhH6gAAHbdJREFUPfGEfYvQwirxNuvfzhNeZ3IH2O2uRdX6JM4jVh4bzPNk6cDxBp1AT9HnJR4x55If+pxF47mmYoFa8cl65taoSvOPlOKl9LGdSoJicixGI5HXAU4m6hdI4XI9mPsbD7Prc6LKk2VpE8J9KJjAnIz5QHvtnqr9C0d25x45FmTspWlkfCxc8PjBS7k/TUeo8u2VOciAj6yQJJnfKpTzdzN5dpOZLJ3YH204mbtyJaP71QsS1Y34o1agihXfTeVN9mUAeW+ns3h4t7yosbYXIdbK+ZfmhVUc+exCWWLS1CE+IiISmZGyxveWaqeNq5dgT4c/xKsdcaXUsd523upN1muFH5UVclhhj8feO4PYt6QH3j+6GZmCl0XJBgz4qvKkxm282avFw542vcxnWZfYiYhItgDFAtvdIB472ZaYsd5GYsSI3nh6rxGwrBaOV/U5O9egaMuaQgz61oOcc9IV9AHWm1R8XErbi7zLSriHbuPxaj0akDNv+wQU0KyaYvsLNEHRlmkP3rJPIpmB6Z2Zu6SEKiDpO43vDp2Gumu8PVqC6kdY9xUjYPatz6viGbOmIKmlRq2MdyBj9z2C8Y50Ugq6XclkTEpqe9EvEXLLHyeQTTifieO+raZaMXmFck++/SIv/TIGVeKmYnANdR3hKWr/UGWrH89wjUWGwfWUSSXvHhILJ2PjrLQLmQaD9jauBUFEjNX2m9vJGubPALo0JKjcv9sosiyLHSiccq0E33JtMP3272qZCBGRGzEghzx2IFvfgnAZvgu0JiulQWF1dqt9EgcfA4n0PzJQdrgfkDcR70wNJ01msvRsph+7yUyWTuyPwngH+wLGZbN7S52FiCJOZTurf+alCTBS8wJPgr5AZL2YBqyfE0Jqo2IDJZTZ6k16Y4QLqZiMdyAnGlgAm/p8n6+PfV+C/z94FFHHhOfAYM97EFxr+yC2GHtOpVnS+tCjvdIZhB/X/CBscleEoJu0nO+r1VT1mp9wEzHNmu8UJxSOAN6t7oKkdv/GWfrY0OKQbWbXgXFD/RDeXPsI7HZ8QlFFbqd2+pyi32NERMStgbZ98TLg++eDpKec1p/Qx8YVBxJ+SmHMnN2QUsfHkqLc0pTvu3pH9XBL7sScm8OAp9kcgKOrOkIm1Y5SWza/d0PyGv4VmFs/DrJtjxmE1JftpKXizNR96GHDPcu1DFgdXpsQrL4TBOyPKTH62NQjwOpVUxCWmJ8D8q+bQIHPly70Q/j9QpFhZ3/x3d3aE8pdPMqzUFMjAOPvQOoOuLxen/PwN89jifzIi8UNAZdHTdbLrGOYPnbtPa2TqycEWasihIMLphImTp5K2nG0tRLKrMoJWdu0Jc/A+UHU1MsPwkSbuarjcIk99GuoUplQJZ8l4VPPV4SQTb1J1+btpu6zbXV+I42b1JAuKYsk8vf/sFONyUxmsv9/2B9Nvf1OMJPkuRaypBlEzrCgPPpn0x6RCpu8AS86dQiFJH0/kI7K1oOXVZu9FfQ5/ssgWTZuwTM+aULq5/QgPJlvXyUd7XeactoVju4iIlJyJm/ZnRoKmJWTt7fzA1XiuiIadBEXTwnowkTSHxf9IW7OXSHlNK7uYX3O562OIiLy9D1v6DKTudb8rUnJTWykShOLP4b46/mSTis3kkhLBe3FcyUep7/Z0Ci1TfI4ZySjToF2IiJSoiwlwaW643nDfXrpY1f/osf4+JuIcprux8N8SOJcxlojc91dSm2A2SWETilLHCno8CnIOb7bgtfeulkJlTxSIKM6l4EM2zwTz+iirXVqFsqSb4xM1ufYxiAWOeULUTfpHiW7GedoopRRe/WxjerwDBjH48VKdoIY/XAI8rPdMp6F04UG6HO225I6zfeDVFvvn9pWxxVBZZNLck8bdlSy6EHj6JazbxvPTUIB7u/nCaQOzzxx1MeG7eTeDM4BuTzqDeKjJ0bSnCe+gEw7jlFdhHuP4hq9vSGUgxsxpvYK7kOzpFB97MKeEIz9x/HbyL0G8c6i1ZCUIwfzTLvXVfsbbPcCITe32SiGV7/kn8zk2U1msnRifzRmr5yhtPFa9q0S2peigcUbVPpga1tSDS7niXlne5KmeLDJTkRE1hpIQXz0VmWxtd7x9gwqh7c80p1UUsMA3u7T/NTbdXUJPEqhYYxteIq0V+ZupHPWHEKG691JeYlG0cRHJ6fSHy36AHFxqQl4iajFFJZMyal6tTdIoexyvRneZ4wtnjfxNgjlUD7Vd+/Iat61l10Rc9zoScotXzdSSTXuUF5qMbOnPif/djiHgK6kqp4MIT3ndYuOpeWDeuhj7/TGGxcfxvzkAsR2wx8g760cREyafd5Ofc6bfoC9tbZc4y5LzrFHHrxH+QUqzRVUGE5jZQQSzdoDEZr0aKz1aQsGeRXspna0CchFuW7VzPASy50Ro0zOBnra9EWhgOfriPn9V2t9/HrzvCz2pFjGcgbP7oCSKv5udFeTGC/mebL0BaFUNIBuslpyf0o2t9PnNPBgvkMJZNGJy5EBR06hG2/dlYv1saW0HYOyv6CMuttYUpENSoCOOmtFNGnPVIq1XV4+e5SN57FHTTx6kanE7GfTFOezrwHr0OAd393PgZ58dwK5d0dmgM6yPVJ99/YsQnjzefJYiZ/kISnRd0wxu8lMlp7tj8bsSSXeydm16yTDaDxKt7Zqx9G+eZFAzhlB/NsrGwz01Iwwvo8uIiM82k690aYX0fbXssbzFn+j9Sm/D0s+v7MqCuh1gvfa+2G8VZsfJ8YdvpoYqWIcop5Xw1RpYoFABB4DcuEtc5clYzB9OueSdz4x/NiFii2/mZH4a2crvM69lzQbqDSXApPEQ6oAI+EtXrnvQb779TUEM220nuaBabDCxaaqtlRrk+iv7tmS+LKCtg/dp9J464VLlReNs8ED5utJkc+QHHi5rz6gm00JsPFLW6rioupC9mCCA3xBvu5kJ568APFU3vZEH9tkJt7Toh6esepB+I6k3Iwp3oXY926yYsuXxXCPXKMQ/DzWWlp1OhUiIiKG/kqA08KD8tEf91mn67Gcf8BE4tKPtSmpbRZ9Sp9zYBfx8c3u3BMLd9b7QTwNNXbOJQ73mqS6v375zXNkc4l1sW8GSrL5jKw7+KOS1q4qAJqpOYTPZjhzPTmyw99M7g1/VKiGavXQ1wMRTXACcf5vL7iHQpqXHr1LIdxvx+AH7rmTbfntDR+y9g734/w5TQi1ScXmo4wBIiJiCJ8nU5P/+Sdt8uwmM1k6sT8as2cxMzPaZswqI4W8rNtztdNJGWfe0hWL4wXCehGbW/bD60UeJX4zJCq2vEo0PdifD0KiOnoODRFmDsH77xrQTR+76A757RI+MMh2e2jKcIbQSwLdiI0qn3+qz4mMJa4/1oNz2af1Zr98GM9bfyJe7+hZxVAH/CS+u1+WuK+A1oBw3zPe1NOXqNLH0mvwBi0nwF5/Gsa6VEoCXfwMgYXOd0pJSD22IOst+JDijJMt8Ap5RuJpts9T8f2UZpQ+1s8ImnnxnusoMZMMhNFA/vvoKbWLjP9mGln6nqIx0YTHrIetH+d9bEQGfWyrM3jP0sPwrFYFYc+POOKRzcsT3y81qJj0zRnCydj2oBXf26xpWE84jqDi6lx+DEdumyEj69AxC3qKYZ1AH+VOcdxNDirnPPQHXrR9N44z3IJ8/vKaZClSWhD7WnirQpIVV+AYli8kVx7VEsY77Qr3Jb7GKn2snxv3MWt94u33/jSR6BXFc3X7JNzSDle1y454a3vGT8eze5zgfpz8SmbAfofSjow5w9q91vqhdMjGM5LnO+hi715+H8kOqvHnlox4/VmDr8i9rt3ka2SkKWY3mcnSs5l+7CYzWTqxP0rQZXJwlgLrj0n7bKSjpvmrDiyzKiN+mP8KiWQdI7XewU1IWZ38Qc2vXydVA/+wPl1fsthpnWM3/Z/2rjy6prPr/54aohmIpESIqSSIJFxjkRqCGqpojRVaamwNIUqFqqDS4hUVNTYoEglFzENTxGuKqRGJiCRII6YEpSgR9bx//E7O4+2n69Ov67u5WffstbKSe+95cvbd956z9/7t394PQ9AGsxi+B8xVfea5YwikJI7S+tlPMDyapE0WHXKbhJamtdT+F74z+VzFu9qWTn20qTB/8LypZ0klPf7c3PLNLgSrHI+z262xN0O29M4k/OQuVjPojkuCRk8eMsRMjCCg2Ohjlnd6niEA5nNObWPlGMvQeaU/S3DTtzP037iAaYpXTbXldJnSLEGGpbGDrTl5LFgexbRjpkblfWNdnL5m3SmGifZDCGBtrkFSzR7nTACA/2VFcU6JYYjvGcutrjbU4ms1rvP5J0top6MnFREqaQLLlJsusizYdjnLsG2ak3YaslqBYYHu1Ov0O0zlxh9menb/NNceC2G3WnLL50hH9xlOd2nBElvVhezIS67D1CW6OtOqje+p6azNUpnujI0guFnvAIHLR14EjV1Pqxl0zllMTb7IIUC2twa3vW4ykCDfETBNyF2uSriLfanDH/f4mUX9wvJiF80ubimqRHxnEUuSq1cQVHV2YPqa8Kw1ACApmmlCXwcFSprcCBh7zA9DeilVGv2zGJ7dEEOsRMwK0FUtZyeDetRGyjl6zDE5n+mvDbOlNws/QCLJ01CWYL68Ru/X5XAwAODXpEB9zdKRnHbSVbvT38og0FKyJamv0+ZW1o89dJl37cqnOV1mWhLLK5MrMWKocJhkl1RPtTvH+I4kNpg6sUkmqxE9pe9c0h5TbUgtHV1CgW5n7mtTTnLYj99qEps3VngyynB8TdEcVw4l2cLtC3odl0/pRaeGEpBL9mPg1S/1iL5m0jFGPnG2nNpie567ZCfe0WafbVWTdroR84LtOjb7LNCmxJjua8SeRgSvwk8rLxdRhpFP/0ACQMfbsUHFpilLe7Obqygm9gfq0nItGzlKtGPThm8YQcq8T+n95tWvpq9Z7KIBUPmkK2/Q5tSNL06g7q6HAlXfs+ccv+SvGG247KbdJ7TQvOsd6uqUrwLUkbsYhYWHk6jU+wxt+7gh1yxaoRFcZg/V13hnEKVd/Ba95r4hjDJ8OhN8+/m8mr47YwTf25YPWFoL04g4Tp1ol/iqjFDLzlCz+Pv9xu9HXghBu9ExbOxxHM5j7658qB/bZiRLwYn2jJI2POZrkf14XRwLpW4jaqloqda33N/APrQpYhavQe7VGwZAZ4gh1ixm9eyvOleVNTpORuOZzF26lFG7ujp1YBkoKY0lkbdcSbXcE8Cc+t3LLEdFL1eTZEJe0cpy1UjicHjEu6tDSSanbs9USeyg5HOOa5mPzZ1Assuuge4AgMgAknceTO6grxkQx9wq0J7ntAM9YdvmzNWnVGEpJcf9dX3Ng9H8/y3naXTcT9jYUawH81f/y6qM87gsvUL1VSR+XNrJx4Fj6d22+NErHT3eRV+zs5M2R/wz6ubmx3y54Xp6+PM1N+vHVj7AefQjT7PE42fLvLL8HNr9lhNt0DFPkYLK7tC2yN7Jz2GKDUuSrk2pt11yin6sx9csGT1tyIabnlmMmnpNY2RVfzdz6nP11JpTlUk5LrcsEwCwqSXJNWEhxBx6HVLTi4p/QvrtsghiFuW/YOQQtIBNIvlb+XmHJakW2lnvEhNIyyP2YppJbKbfJUYUDjsYYZUpqdp6X8+hLWecJ4FlZnvOrfNeRa8aba8atiZl02Y7K9I+zToRI6jTgTZwSWEE6emgtuZ2zuI0pLwBtGHE14xqxlUn/vS2v2qrdl7KY9O2M6pwKMnI83YeI1FTEinanm3n6mtmhrAU3KhbW0RN74WbmcmGZzfEEGsWs3r20vVcZZNdH2GxZO4SskZN7fSuVA0A8NFJ5pwHO3IWfM1kegLfK7xjuj1Rc9ePJDC3TWjMuVwNEuiBTwmuiX2q9lWr4anNqUsi+muzhgntpH8z9x1/nSSYupdf09e0y2TO/ki7m9om0FP6nCc9t9965m+lkuL0NeEFgznG885ra08v+vExeo9Sp6box9a8xtzZqyJzt3XHGA3EFWdu6ty7NQBg/Xef62tMzWmXmx70WFvXEPW9PJhe44tdarps0nZGUEt8WUUoPptrgj+id0pYTo9QtpSKsNZ+zihpTDbnowccZaSy1p/NFnnfVdSPjR1NXGVpd+Iov5dhXvl2Oimp+wIYjVWpM0NfU8qNuflvZUjOecWHraY/ViAlNnzrSf3YZ4fosee0Ibbje4n4h6077WLqwQrH2HpqYm+/UEaCd0dQh3vfE0kfoTU1tXxGOurwvRP1NfEDGEHkzKb9q61nlaj9fFJf3/Tsph+bdYIo+f5bnO6b3p8EnOpv8v/n7+F5W2xXcwNTtUrJxHja9CNtV6Khpfn9WhG7Wj92tSM/v3JdSA46lc+ocbG209DaGH7+F0676WvWzCM2cqLqA2TIM3gk7xue3RBDrFnM6tl9avrIXXO3wek1UhlTlq/XX1uVTPTxeh22M4aNJNL6TQ/e1RPHMf+75r5WX9NprzYF1J102RErmW9n/cZcq+9ahYi2/pmedlgvHpv5kFNYp4fRO3weTMQ9baWq4yfWZbvtxkFsAfVOIy0zeDvztZ0DmEe17KMmlYYMYS5YwodoqRzFta8uJDU4vqXak35iDL3aoJ48z5jbpJA6xNDrxO9nTto3UqG1Sw8wcvj9FOmsjZJYo7/4hzZv/0fVQvtTJVYGBpnoRYstogepso0RVVU/8hOiB6lGGC9v8gRuhJMnEJ3IFs4eifS4vfqpvfYiXWjvqSnEPbo7s8bfuyvtkZpNj1u+smraGNSTNfE++zn+atZ6Rnm2vzB6mvtUeawtjvTK7nbMY08Wp57d57N6cG4y6dHjy6pddFsEUO/I5YyGXK7TBj75xDay8vi47Ywgfc2qWvTccb6sOMgofr5n27N6cTJdVYC83mG0kR7E72vXqcRv/NuwqrC/Dr14zlI1Xfb3WYyWLg2lJ8/9kQ1g21PI/SixRdFlPbJJGx+cSW7E2GXEfCKHsmkmKILXRWicirA8LzEqtWu6G5NDu+PSlSTDsxtiiDWLWRl0xa5cgX1gIFYc45162O58/bUNTmTKXb1HJHeTHX83Kad516tELJMzq+lr3jaxLh3ShnfGWU3prUe4MP/L67lDPzbxOzYLpPeml2lRmnna8BDObI9N4l08W/Wc4MgmMtqmnaRnHOfBnPT3n5lXxdRhDu8Sp/Kzszt4166xl16nyyMi6l+2IyPt1GLVdpuZSB5A/hAixxeOfs/3HMG89r438/Gh89Ssdp8pjGa+mkQPPziA3i4ujuzBiNkqZ/erTVR5f0fmex0Pko1V6ja9xrvFeP6FGYrVF/cHPVOc1l5a9wERcJdItvP6zVP72rV9m///4KfU/25ttgJ/3JgRj2Mkc/pRv36nr2lTi+O6JtxgRPnBl4w2bl5llFDCRe2bviWQ+Mb8W0S8D7/DnPfiVtpnooaHnK+sPPuy/YyCNriwwtC+FSsot3aSk/HmHLYgzy+nvns2CcRpQvcxKnLYTFzoRgU24rhuU/uzd1rAev3CAEZl0oO23J5Nr+3jwc83qr+qQMT8wP8X1YwYQMNnrFpEhjHyNNkH68e2qsmIId+TeNNnWfw+3fSPAwDUPsfI6mIDxSF5PJbf/5b1q+D6LfX5/FkMz26IIVYixsVuiCFWImYF6Co61pVDWkWjcRsSBYI9FTXy60EM1QJXshHiiS+pkpe+Z7ml1bcMZ4p3f6Kv6XmTxIMsH4J3Rzsw7C09lPewPvXy9GN3X/keADChMUGwrbEE5LyekvLabRFBmWpOCow54MTNGD0eEvSpcZnh7rPWnLu+YT3Dvp/39dbX+AYwxHx0jSnGQi+GkVMFZ+Ct6aXAmGYxDG/7xxL0yY0i2Bayn2nI8OoMFZt2aKSvcXuVJJSuM2iHZzkMK228eGyUm5r08lN/ph3+yxmaLzxG2u30Kgw1ny0izfL2XDXXL+0GAaBSA0gb7pLOMqNfBdry072KtHMnhROBVmk2rXuYIXq33qSquo9iKjBB1tPXVPAmxfbqPBJVTKX52XnHjKQtQtV03PI2TOUqR7GcdWaYtvV0K23TzFc4521baTX9p1YfApXBqwi0Rv9EwOtYEt9j8Dj+rjJjur5mpyuPvXSbn2ubUfxc3tvN92caU0o/9l1HEnzcR5NGPH8FQeZNFViKi3Bm+vB+vJpU07Q19a2YQHBw8C2SpBZ40T4Z01TD1sA0Pvcol+W/j91Ysq09lnYyrWODWC8PVS69OZv6O5d1wJzZgcjKyjAAOkMMsWYxK0D3uEo20hdMwNlv2FjQLF4BKyMHETC7u30gAKD5I5ZgmszkHa51T5Jf4Oenr1n3ActZP7QjONWsPMsf8V9xNw7Te2or4j0NCFw5ezFyqF2D5JrM8rxD943nXb3JJtX00C2GHvD2skgAgG027+IOzamjXTvSdXuofh7U38ybqvtsEmO2RND73AwjyBeYoIg+w06QUmlK1UCrDHr/OSXoUXpO5XmvtlO7yHT6hDYbfoa7inzuRZLFjFx68fdnqJLP9SBGRdMWsaklyIYlpq/j+f8HedBbh8xVs+zD1xLknLidnu9ONL1Ri9Uk5gxu8Y5+bL9N9P49inFi7Lo3+Npn4WxGCcygYXyuKiJU8JCBAIBmR+i1L24goHb0NMtQc8opOvS3ufy7mhu9/vqHBNm8JT9nMZKbHTb0VXP3DrWl/3r/AUtWH7jSE3ZeQt2O2bHF9eCv/vqaJR9yQ80Vjxkppl1hebSJiWSnvmqsO8odZEl1dx2+51fKEyjbcYQ6vnWOUcE8O9UwdO8Tvudn4xih9RjG0nMbE797hzaqVu+NGfws3uxNIC7qF57coSwjhwOPWHrumaXK1jG9uKbF5G14fP8B/koMz26IIVYiZs3ZhRC5AB4CuGW2k/4zeQ1FR1egaOlblHQFio6+VaWU5V70glkvdgAQQpySUjb6348sfClKugJFS9+ipCtQ9PR9kRhhvCGGWIkYF7shhliJFMbFvrwQzvl/laKkK1C09C1KugJFT9//IWbP2Q0xxJDCESOMN8QQKxHjYjfEECsRs13sQoiOQogLQogMIcQkc533ZUUIUVkIcUAIcV4IcU4IEaA97ySEiBVCpGu/yxa2rgUihCgmhEgQQuzQHlcXQhzXdF0vhPjrfkczixDCUQixUQiRqtm4maXaVggxTvsOJAshooQQpSzZti8rZrnYhRDFACwC0AmAJ4D3hRCe5jj335CnAMZLKesAeAPASE3HSQD2SSndAezTHluKBAA4/9zj2QDma7r+CmBwoWj1YlkAYI+UsjaAeqDeFmdbIUQlAGMANJJSegEoBqAvLNu2LydSyv/3HwDNAOx97nEQgCBznPsf6LwVQHsAFwC4as+5ArhQ2LppuriBF4gfgB0ABMjwKv4imxeyrqUBXIYGCD/3vMXZFkAlAFcAOIG9IzsAdLBU2/6dH3OF8QUGLJBs7TmLFCFENQAmAMcBuEgprwOA9rt84Wn2X/INgIkAtE2n4QzgrpSyoPfRkmz8OoBcAKu0tCNcCGEHC7StlPIqgH8ByAJwHcA9AKdhubZ9aTHXxf6i/lqLrPkJIewBbAIwVkr5W2Hr8yIRQnQBkCOl1v6lPf2CQy3FxsUBNACwREppAvsjCj1kf5FouEE3ANUBVARgB6affxZLse1Li7ku9mwAlZ977AbgmpnO/dIihCgBXuiRUsqCKQ03hRCu2uuuAHL+ar0ZpQWArkKITADRYCj/DQBHIURB27Il2TgbQLaU8rj2eCN48VuibdsBuCylzJVS5gPYDKA5LNe2Ly3muthPAnDXEM2SIOCxzUznfikRQggAKwCcl1KGPvfSNgAfan9/CObyhSpSyiAppZuUshpoy/1SSn8ABwAU7OVkEboCgJTyBoArQoiCXUHaAkiBBdoWDN/fEELYat+JAl0t0rZ/S8wIfHQGkAbgIoAphQ1WvEA/XzA0OwvgjPbTGcyF9wFI1347Fbauf9K7NYAd2t+vAzgBIAPADwBsClu/5/SsD+CUZt8tAMpaqm0BTAeQCiAZwFoANpZs25f9MeiyhhhiJWIw6AwxxErEuNgNMcRKxLjYDTHESsS42A0xxErEuNgNMcRKxLjYDTHESsS42A0xxErkPyCabZqdIstaAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Used to change filepaths\n", "from pathlib import Path\n", "\n", "# We set up matplotlib, pandas, and the display function\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "from IPython.display import display\n", "import pandas as pd\n", "\n", "# import numpy to use in this cell\n", "import numpy as np\n", "\n", "# import Image from PIL so we can use it later\n", "from PIL import Image\n", "\n", "# generate test_data\n", "test_data = np.random.beta(a=1, b=1, size=(100, 100, 3))\n", "\n", "# display the test_data\n", "_ = plt.imshow(test_data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Opening images with PIL\n", "

Now that we have all of our imports ready, it is time to work with some real images.

\n", "

Pillow is a very flexible image loading and manipulation library. It works with many different image formats, for example, .png, .jpg, .gif and more. For most image data, one can work with images using the Pillow library (which is imported as PIL).

\n", "

Now we want to load an image, display it in the notebook, and print out the dimensions of the image. By dimensions, we mean the width of the image and the height of the image. These are measured in pixels. The documentation for Image in Pillow gives a comprehensive view of what this object can do.

" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The image size is: (100, 100)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# open the image\n", "img = Image.open('./dataset/bee_1.jpg')\n", "\n", "# Get the image size\n", "img_size = img.size\n", "\n", "print(\"The image size is: {}\".format(img_size))\n", "\n", "# Just having the image as the last line in the cell will display it in the notebook\n", "img" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Image manipulation with PIL\n", "

Pillow has a number of common image manipulation tasks built into the library. For example, one may want to resize an image so that the file size is smaller. Or, perhaps, convert an image to black-and-white instead of color. Operations that Pillow provides include:

\n", "\n", "

Often, these kinds of manipulations are part of the pipeline for turning a small number of images into more images to create training data for machine learning algorithms. This technique is called data augmentation, and it is a common technique for image classification.

\n", "

We'll try a couple of these operations and look at the results.

" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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C8MMPP3z3/juKi7osB2n3xuGxR4kFYpUpxyE7O/vHxyfj3o2vH72CyN6/3795cryzO7p+/fobb7x5cHSU5/nl1cWPf/znaZpaIIbD4dXibDDuVkVVgdpzgzRN67ppmmowGDnYA1CfX52Rq3WecyOMpq7PlFBCuL53eXpVN2VVZJ0kHXa72FqM8Xo+811nZzDyHCy0iOOYKw6tc3W5fPTZs26a3n7j5ObNG0fXDt5++95ovBNFSZlXkslBf/z73/rop3/1l0nqB6FTlEEn7rquVxSFMTYIQilVy9uGNwqZwEOCS8KVdQDsDwcdYNfZuq5rJevRThKHIUH45PrhtaO9vckQGBsH7nq59Fw38EIf+mEYFlV+OZ998dkzzezh4eGtW7eOrx8yVlmrATRFUXCmJpPdTZ51Oj1CHKVUk9dpmjYNS5K0LOv5fJkkEYSQMbZcLpMwIYQCQJGbxNT3yqbUlu/uDsbjVLKiEzsEG2TF3nQClMBWV9m2Wm9dRDzsAml4I4HCrDWLeXZ2egkBXSwWXz96HAd+nETnF2dXF5e+6zmOI4T69B8+/Yv/8hej0UhrC4HFGAOLCXYp8SHAxkKEqRf4cZIEUcQ5W60WBGBSNAWwUgMKIQeApamHsd7d2bl3960P3nvAqjzbrlnZQqNXq40UnCDqUsqUWMy3lxfLplaPHz+p8vz84uX3/slH33j3nlIiDCLq4OXp+s/+w49/9rOfUYecwGtR7AWRn+fbTnegNaDI6XYHAJmmqSzQrkepg/N1uV5viMFWKtlJ/CAgWjUUm51xZz5fjYfdP/oX/5QA8pu//wfVNJ2wK4TK1iuLsEOcJIrzuq7LdrXcaq0pIFEULZfLh5//9s7dG0kaub47n88xxlLK2Wxx6/aN09PTmycHQgBjTNvwuhF13baMN7xq29Iiyxjrpj2gAXUwCgM8Gae+j+PIu3n96PjaYRh43W6SduI7d25pa1rGtUGOH2yyPEkSSqkxihDk+x5CEGhDEa6LEhiruG7rxqGYNXW53SznF7wu/v2f/skf/+t/9fHHv7RKz+eL5WIT+HFdNsgCz3GBkkDJfq8z6vV5yxaLBQAgjRMUhTL0DWObYT9xXffb3/72e+9/8+13H9y8desffvv52eXSQE8hp5F2U1UcaEMtcAwg0oC2KlZZtrBGE4iAMoKBk8MblsuDyWR+9vKrT39leeER+ad/8u/+9q9/8r3vfc/34qpSi3nhICqaOo28Ua+jeO1TfDjdScMQSK2Y4pyTu3eOL8/PL87r4+OjDz/8UEsThPE/+5dvKGmxdetCEsdH2N3ZPzg8Onr85Iu6KTg3SrO8WLesIhBYLYE2SRRHHqEYVts8jzxkFW+rXidwkyB78SJJwzfu3P36+bPHXz/5g+98dHywf/r66enFS4hkNw2xVfPZZRh4FLlBEPSSPinL8p133rl3757nebdv306idL5cIEKhj0e93bu379W/IxzsOpRm61UUhEK21moLbFmWUkpKqVEaUZSX+d506AbeNt+stpdpJ37w4J3d6eTqxdNuN2VS/fCHP7xx59aPfvQjaM1mOdvf379anGf5ttvtTqc751eXV/PF4cENI+HR0RH56KOPRoMBY4y14uOPP4YWvf/++18/ferQoNqwJOx04kGnN9JC1nUNITRKE4L+fzAkvuspBfzAq/IsjDxrNYC6KDPPJ0Kpv/uf//3+/ff/61/+5NPffvGDH/zg+//8D9fr9cXFa2OMUmIwGGCij28e7B/td0eD9c//DyGkapkb+OTBg/eQBQihsix/8Ytf9Dr9oigGvX5d8fl8vjCrOFjXZTPqD6a7k/n8DCFgrAUQYgAxBARjDKFRbDBMp/uTVlQAR91B52ox+18///nsavNv/i3e29sj1P/ud79LMMWI7OxMz1+/+PLLLxGFrutSSmfzS8chrutWVZVl1Wq1ImdnZzePb+7vT1+8eDWZ7J7cuFlV9XabZ+vMaJxGvTpjz5++2BkP37hzOwx916N1zTEEnudgaI2Uvh9st8VgGA+GqR84RZ0V5WaxWAAM3cDdZOv3/9E/Hi6zxWrZnp1dv3kzy7dKaur6fkAuZi8/fbgMQm9ndzfPtxBQY8xyuURKmdPTs4cPv8jzQgj5N3/ztxcXF0Ab1vAyrziXFmjGmqLIWlFrwyE0Fkg/oKNhz3Np21TaiNG40xulSS+MO35Wbh4//er86vz23ZvUJVKL8Xh8fHy83WbAIozpw4cPwzD+znf+4MGDB4eHh1VVIQQ32zXEiEsRBF5dl+T09UXkB3t7e0+ePAnDUEpdljUreZ6VZdkoCcbDsec7eVU8fPjbXj+WqoVIxYmHcd8PCBeAi+qt++8cXd+f7PQg0QYKJ6Cnl2fyuZZaCK2ev3o5Gk6Pjo4woufn57OLq/Gov7c3XazP3nrr3uXitG6b06+fBEHYtnUcdZhgBCEihDk/n3lesN3mhwfXXjx/NRkMJ5OdunqtlKrquqrLJ08eXbs2veNcb1netMWUjopyfePm4WAwSLsJctHb777hOvDhl58YI84uX0vDf/3Jr3Ymx8Qhnu9zISgJwjBWypzcvD0a9j7/4jduAJOk4zje7OISIRQEwXx2hiCVHBBr8HK9ybJsb29KsDebrV68eMUrPh7tDYfDq6t5ts37o/7u/jhIvNVmlmWLqsqi2C2KajTuHB0dxGmyLlbUARbJot48/PzTzz5fnZwkd+7dffD2BycnJxjjLMusqZQy1sIoSjhX773/AUD8i8e/efzkadL1kRCz2dX+wTSO+svZlgBLV8vMWiulefbs66aqT27eAUpLoaU2CJO9o+n9B/ebNl+tz1+9fHQxf9025f7hKEzDTpyWefPbz36ZjlLq7d6+c7s79qWt5tvV7v7k6Pr+YDxAFDW84cpAbZuGEUQIooPRME7cslqFQWIt1NoKIcIkFkpJI4Vq/x+hsFftdv7QMAAAAABJRU5ErkJggg==\n", 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\n", 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Crop the image to 25, 25, 75, 75\n", "img_cropped = img.crop([25, 25, 75, 75])\n", "display(img_cropped)\n", "\n", "# rotate the image by 45 degrees\n", "img_rotated = img.rotate(45, expand=25)\n", "display(img_rotated)\n", "\n", "# flip the image left to right\n", "img_flipped = img.transpose(Image.FLIP_LEFT_RIGHT)\n", "display(img_flipped)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. Images as arrays of data\n", "

What is an image? So far, PIL has handled loading images and displaying them. However, if we're going to use images as data, we need to understand what that data looks like.

\n", "

Most image formats have three color \"channels\": red, green, and blue (some images also have a fourth channel called \"alpha\" that controls transparency). For each pixel in an image, there is a value for every channel.

\n", "

\"RGB

\n", "

The way this is represented as data is as a three-dimensional matrix. The width of the matrix is the width of the image, the height of the matrix is the height of the image, and the depth of the matrix is the number of channels. So, as we saw, the height and width of our image are both 100 pixels. This means that the underlying data is a matrix with the dimensions 100x100x3.

" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Our NumPy array has the shape: (100, 100, 3)\n" ] }, { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Turn our image object into a NumPy array\n", "img_data = np.array(img)\n", "\n", "# get the shape of the resulting array\n", "img_data_shape = img_data.shape\n", "\n", "print(\"Our NumPy array has the shape: {}\".format(img_data_shape))\n", "\n", "# plot the data with `imshow` \n", "_ = plt.imshow(img_data)\n", "plt.show()\n", "\n", "# plot the red channel\n", "plt.imshow(img_data[:, :, 0], cmap=plt.cm.Reds_r)\n", "plt.show()\n", "\n", "# plot the green channel\n", "plt.imshow(img_data[:, :, 1], cmap=plt.cm.Greens_r)\n", "plt.show()\n", "\n", "# plot the blue channel\n", "plt.imshow(img_data[:, :, 2], cmap=plt.cm.Blues_r)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5. Explore the color channels\n", "

Color channels can help provide more information about an image. A picture of the ocean will be more blue, whereas a picture of a field will be more green. This kind of information can be useful when building models or examining the differences between images.

\n", "

We'll look at the kernel density estimate for each of the color channels on the same plot so that we can understand how they differ.

\n", "

When we make this plot, we'll see that a shape that appears further to the right means more of that color, whereas further to the left means less of that color.

" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def plot_kde(channel, color):\n", " \"\"\" Plots a kernel density estimate for the given data.\n", " \n", " `channel` must be a 2d array\n", " `color` must be a color string, e.g. 'r', 'g', or 'b'\n", " \"\"\"\n", " data = channel.flatten()\n", " return pd.Series(data).plot.density(c=color)\n", "\n", "# create the list of channels\n", "channels = ['r', 'g', 'b']\n", " \n", "def plot_rgb(image_data):\n", " # use enumerate to loop over colors and indexes\n", " for ix, color in enumerate(channels):\n", " plot_kde(image_data[:, :, ix], color)\n", "\n", " plt.show()\n", " \n", "plot_rgb(img_data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 6. Honey bees and bumble bees (i)\n", "

Now we'll look at two different images and some of the differences between them. The first image is of a honey bee, and the second image is of a bumble bee.

\n", "

First, let's look at the honey bee.

" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# load bee_12.jpg as honey\n", "honey = Image.open('./dataset/bee_12.jpg')\n", "\n", "# display the honey bee image\n", "display(honey)\n", "\n", "# NumPy array of the honey bee image data\n", "honey_data = np.array(honey)\n", "\n", "# plot the rgb densities for the honey bee image\n", "plot_rgb(honey_data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 7. Honey bees and bumble bees (ii)\n", "

Now let's look at the bumble bee.

\n", "

When one compares these images, it is clear how different the colors are. The honey bee image above, with a blue flower, has a strong peak on the right-hand side of the blue channel. The bumble bee image, which has a lot of yellow for the bee and the background, has almost perfect overlap between the red and green channels (which together make yellow).

" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# load bee_3.jpg as bumble\n", "bumble = Image.open('./dataset/bee_3.jpg')\n", "\n", "# display the bumble bee image\n", "display(bumble)\n", "\n", "# NumPy array of the bumble bee image data\n", "bumble_data = np.array(bumble)\n", "\n", "# plot the rgb densities for the bumble bee image\n", "plot_rgb(bumble_data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 8. Simplify, simplify, simplify\n", "

While sometimes color information is useful, other times it can be distracting. In this examples where we are looking at bees, the bees themselves are very similar colors. On the other hand, the bees are often on top of different color flowers. We know that the colors of the flowers may be distracting from separating honey bees from bumble bees, so let's convert these images to black-and-white, or \"grayscale.\"

\n", "

Grayscale is just one of the modes that Pillow supports. Switching between modes is done with the .convert() method, which is passed a string for the new mode.

\n", "

Because we change the number of color \"channels,\" the shape of our array changes with this change. It also will be interesting to look at how the KDE of the grayscale version compares to the RGB version above.

" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Our NumPy array has the shape: (100, 100)\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# convert honey to grayscale\n", "honey_bw = honey.convert('L')\n", "display(honey_bw)\n", "\n", "# convert the image to a NumPy array\n", "honey_bw_arr = np.array(honey_bw)\n", "\n", "# get the shape of the resulting array\n", "honey_bw_arr_shape = honey_bw_arr.shape\n", "print(\"Our NumPy array has the shape: {}\".format(honey_bw_arr_shape))\n", "\n", "# plot the array using matplotlib\n", "plt.imshow(honey_bw_arr, cmap=plt.cm.gray);\n", "plt.show()\n", "\n", "# plot the kde of the new black and white array\n", "plot_kde(honey_bw_arr, 'k');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 9. Save your work!\n", "

We've been talking this whole time about making changes to images and the manipulations that might be useful as part of a machine learning pipeline. To use these images in the future, we'll have to save our work after we've made changes.

\n", "

Now, we'll make a couple changes to the Image object from Pillow and save that. We'll flip the image left-to-right, just as we did with the color version. Then, we'll change the NumPy version of the data by clipping it. Using the np.maximum function, we can take any number in the array smaller than 100 and replace it with 100. Because this reduces the range of values, it will increase the contrast of the image. We'll then convert that back to an Image and save the result.

" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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icWTZZ1RmVzyurG88XLaeaQVSxyJz5RVvoDJjjtF7nr6iGfeX6V3Dbs899wTg9ttvH+xz3XXXAbXIxOw6VU5sHvnCF74QqGuyaUvn5iExwy7b6o6tr6mE6kjlJJN7jUYIYhzf4zh+1dhzn/tcoF/FTAoaszc0TAjaj72hYUIwsTJex5mvyuwoOU20MVxj6Ec57L5xH6WsXU77usqOgrLVHufK177+8dlJ2Le8s9t8//vfH9o2p9hGp54ptZ7b6/EaNRegyupc3OJc5mQhqBLcuXOMOYEpjjebPoZJNWHi8TW9HL8r2GT5HnsFTkpfusbsDQ0Tgoll9pzkIkvENEqZXeYylVT29DWms3qcuTC6kGEspVVB9PVwkxEdk8wew1z24JOdZXRfTeoxAQVgp512AqojTiaX8WPRj+EsWVlWzSG3mM7qufsSkuKYoDK4yTU6LmV6FUnslS+jmzB0zjnnDB3fuZwUNo9ozN7QMCGYWGbPfeNlv2gfyrCqAJNQcp+5yOwxAWauUFXIer5GOzyvZ6ctLfvFMJoMaxhKX4Ds5r59PfO32267oeN961vfAoaZV5vfxhAmsngducEGDCsDmL56TwxrGjrcZZddgKoytL+9LlOFoTL6qNVb+1YLmhQ0Zm9omBBMLLP7hM/MGJldRtIOtPBCO7kv9XXUijAzQYbMdqSM3uc5zoky2st9bZ0swZWB3dfoQlQO2tRPetKTgKpeXKMteuP18ltoo/3tNo4lpsBmZs1e+LitKkk/SE7z3WuvvYDaGx7aeuwzoTF7Q8OEYKzMvmzZMh7/+McPNYhYbMiUMktszpD7oGsbyv652QQMe7ZXBRWD/ehzU0yZMh7fudMulvVl3hgFyEzr+VQDfR5pz63i8dyOMdr3bqNXPEc2IksLP8ulv7knfPy/Xn9teG31G264AYDzzz9/2nnaeuzT0Zi9oWFC0H7sDQ0TgrHK+PXXX59tt912Scl4YUgpOt3yQoXKYCVnroaD6gSbDZTGSnHNA89rUko0LXRSGe7TbDA0FufW4+pQNO3XMZrSay89qE5IJb4S3fmJYa68KKZjy4tP9oX2clceTYs4FufXcRuC+7d/+zcA3vzm6euSGC5t8n06GrM3NEwIxsrsv/3tb7nuuusGXU4//elPD/42n2SUhYBsJJtAZR3DWj/5yU+A2hlFxo9JIzLrKAdRDKPJ2B7flFdDWobM4pLEOrYMjbl8tI65OI+mlwpZz2vUARk77ej4cyweTyefzA9V4dhpR8WgOnJO4zh04qkY8io7sYeex7GXvQkzH/jABxiF1UlTnhQ0Zm9omBCMldk32GADttlmm8ET+rjjjhv8bcWKFcDMnVzWJGTMGDqTZezsIlPlEFYscV1VUk0Md7mfqbraq3mlEzukQl3dRVWh3WyvOLvAQmVjx+nY7AZrSEt2jWPRzpeJPV+8Vktc9913XwBuvfVWoCYoPfWpTx25j73hHJNzHefHDrfnnXceULvlNAx/T53vrusG89uHxuwNDROCRUmXlX2+8IUvDD474ogjAPj85z8PjL8EUQaLfeNlqkMOOQSYXnLpa7QTsx0vW+eVU+M2mcn1Pmv3xxVnPGfumaetbeoqVJs895TP9njsKyfj3nHHHUBlEFWNfguoCse/6WuwQ6/Hjz4N7XqTa1QXjlWPO1QbfT6MbiRAn4BRhbzy7NoGv2cwvC7AVVddNXKfxuwNDROCsTJ7KYUNNtigt+nD1VdfDcDRRx8NVIbXhlzT6GtqYJxbO0jb3TFZkNFnJ+lJ1pMu60XloBdeGJfWXjYO3ge98Mb4VRCRpUVeXdWVXvWSf/aznx1s6z3Rh6HnXiaJeQhev6m6bmM6qx53t4Nqo3ttKioZP7aPuuCCC0Ze/2zhfDs2v3sx9h8bfsD0piHxO7hUSmRVfzB8P/tSlEVj9oaGCcFYmf1hD3sYG2200eCJGT2KMoheZe2+r3995VqSssdCw1ixDBDbUll4YezceK9MoH0bGzZqe/aVp0JlWaixctnUfWR2IxQ33njjYB+ZWyb0VY96fOIL7VOf+h7P8cc13fX2CxleduuzFb/xjW8A1XsuMzqn0T42t0AV4/gdU24jNV84lrw2XrwvuUWWf8vRC6jfj5xZuJjw+/jggw/OOJ7G7A0NE4L2Y29omBCMXcZvvPHGA1kUnTGmYSqZDcu9+MUvBmrxg44uqBJ8daSUEi0vsRSLTpShhqF0zuQ0VBNboIa3DKflDq7RwaN8zE5Ix6BJEFNUDVsqOQ37aeZEZ5jz45hcAklT6Stf+QowHK4bldTkuOPxcw8AHXNej2ZQdIBpbhhOvOiiiwD42Mc+1nve1YX3V9PIuTYcGNOKc4jQe+fnMfSZi6JievXqwiW2AE444QQAPvrRjwJw2223rXJ/79l999031Hc/ozF7Q8OEYOwlrltuuSVf+9rXgJpOCTWBRTbVsWL4RVaKfcZ98sqAcymC8Amow0xmjMxrwofnlOFdEFHW3n777Qf7OAYVgymrhsZimM7OrYb7TPyQCf08ln26iKIOolymOlO6pOO2kOess84C+sN1oxBVgPdMpSYzOofOQewoq9rQITcbRvc4fd1soD9hyX0MFTo271lM9MkqLHf3jdv6vRmV9KUKiN8J59t9d9xxx6HrienKftfmkjYeF/dszN7Q0DB7Zi+lrAfcBNzddd3RpZRtgYuATYGvASd0XTdjner999/PPffcMwhhWRoJ9UmsnZeXL/7Upz4FwLHHHjvYR0a3S+rqMLssMVOyhH4Ey1Wf/vSnAzWkFBtWOH5DPbEba4YhNqHKkAm0fVUUUFnU87hssSyhGumD657N9PQfBe+DiUUAV155JQAvf/nLgTqHsp5jiuG6f/7nfwbgn/7pn4aOr08jMqb+gdzUY6bx9yXCrAqO03umSlJlRmbXvt5vv/2G9nFMuWsx1O9pThP3+uJY429itvCcv//974fGmjEXZj8ZuDW8PxV4b9d1OwC/AF4x51E2NDSMDbNi9lLKVsBRwN8Dry8rH4XPBF44tcmHgLcDo7sKsPKp+6hHPWqQmBCbJlisIRP6ZNQe8wl62WWXDfZ59rOfDdSkkMiAs8VsknVkGyMBjlFGj2uZ2ctc1tNTLzvNZFM7Fu0+vfBxnrTrcyGJTD8TnPe46spskYteoBbqaBfrlZf99c3EpKBc5CMrOYfx+KtTDLU66aza6rKz1+p1OFaofiKjN7Ky3wmvL3r7VQj+zbXpLCrq85moArL6mw9my+zvA94IqBEeB/yy6zr11F3Aln07llJOKqXcVEq5KfZqa2hoGC9WyeyllKOBe7uuu7mU8nQ/7tm0N9jddd3ZwNkAW2yxRbd8+fJBM4a+Ro3aXLKQT/y8QglU20cfgExvEc1CQ9+AT2iZLMaeZVif5jLNrrvuOu14pgJneK0++WMEwv+b1prbSFmOG2F/dZlyLnkJ2q8HH3wwUAtwoNrZ2evudTlf0cZ2H23LvIZ7LLQZd5mz92i33XYD+v0uqi+jId4P/RK+j9fsNR1++OFAVWMqUou/oCobfw/6OGb6TqsWN9tssxlt9tnI+AOAY0opRwIbAI9mJdNvUkp5+BS7bwUsvZaxDQ0NA6xSxndd95au67bqum4b4HjgX7quexGwAviLqc1eAlw24hANDQ1LAPNJqnkTcFEp5f8BtwDnrmqHUgrrrbfeIOEghmTuvvtuoMoYJZVhCx0VMcylfDHtUzl04IEHAnDttdeu1oWNgvLUFEYTfSKUUY5B2Ze7xPTBdNOcRhsr5QwDmg6q2WBozH5wUJ2COuS+/OUvA9W0cNsYrsu93r1XmipWuMVrdAzej1tuuQWY3mMvIvfpV85Hx1YOay0kdHQCHHPMMUD97uno9TsXKyGzA9D7mRN7osNU8+a6664DYI899gCqiRQr8PwOXHjhhcDcvsOrCtvN6cfedd01wDVT/78DeNpc9m9oaFg8jL0H3UMPPdS7aorOLp92OfQgS8Wnl6mbJtNcccUVQK2rPuCAAwbb+lRdCFx//fUAvOpVrwKGa8hlKJNfVCZ9Pc8M8fg3Q26yt2ztyjFQWcewkExs77bYd91xmY4pE3sM2VumgcpQzvdMHXBypx63kQkza8fPcgirz2notTkGt1kdx53fCTsaR6enasXvlmN0m5j6msOM+Vq9p7E4yr4Bfl9zONm0Y4APfvCDQJ1T79FCdMhp6bINDROCMs5OG9tvv3136qmnDkIyscOLITWfYDKir/7dNc2ghoG0aXPZ53bbbTfYVpbU7p5PWEcb633vex9QQ2UwXCILNcVWn0S0P2VYS05l4Hg8qMUvANdccw1QmdGxyOyGaqCyzNOettLa0h60eEYm3mmnnQb7eFzHJhv5PVEdQLVX7ahjiMprlMG8hzC6wEO/Qiya0Yb2Vfac6d45H47bcKzqSeVjEVI8nt+R3H03fk9lWlWYqst7ZCJUVA7Og/6bvGR2/M54PEOoN998M9C/rt0odF3XmzXVmL2hYUIwVpt92bJlbLHFFoMndUzb1E71aefTVbvQJ6WphlAbH2jfyIj6BGKjC49z2GGHAfPrbecYZWSTMKDacNrBplrGPmFi//33H7o2vdiWoupniE9+2V/7Utb2fVRqlj5++9vfBirDOP6YjCHcxr9pr2qDRrVkj3JtTlOec7fW2Mk126C+937H7qh+NqrAye9PLM5RpTiWm266CagJPn1NOJwzt/G43jsTiqAyup2BVU8qz+y/gKom9KGYUi3iWn6ey1TjuTD6qtCYvaFhQrAo3njtmlj0YCxW76z2k/ZNXzrl61//eqAyjPaqnvyYoqo9KaPLqq46sjrw6RvZzvGpMmQn7eS4oorMYcmsNqJsJ8v1pUDaAEGGyWWUUFVGTj3OTBkjHLntlb4GGTHGnL3WuGZ7vGbHHe9zZvbcWiymUGtnu40+B+1xVUefQjSnwLE4XyqXaLNr52vfa3877jgm50W15XfAefI6YvGS43TVI/fpW/Hnta99LTC3hiKzRWP2hoYJwVi98TvvvHP30Y9+dBA7j09Mn/g+mX2y+ST1qR4zlWRCn8DaRhbIxAIGG0J4Tt/vvffeQF0VJTYQNL5r8cao8tRTTjll8H+PL/uoULQHtSHjtToWmdBtPX+M2Vri+5znPAeAL33pS0Bl2ejN1qNu+y8VleW3MmfMZMxsNlMTCG1PWVMfhqrG+xOLZ/r62o+C99xIQ7TNoWb+RbWUmVXvv98blUvMwdDnktcOUC31Fed4XN+bMadPJaoN5zD7GPRtxJV/PE4ub/Y76L07/fTTGYXmjW9omHC0H3tDw4RgrDJ+ww037LbZZhue//znA8N1vMp1a92VzMpSCxdioYSODa9BWWciS5SMSnxflcgmMfhqr7t4XKEjJyd1xGWs3va2twFVqikB7XsfzRBDVjrMlNNf/epXgWraxC68ud7ZeVPexbEpBQ3nKE9ND9VJFh12SlrDljGhJ15HH0wE0XTxPLH4Z5TjScke6/GVsN5PzT+P53ciymy3UYKbJmuvPkO3sfjEedHsc17cJhYi5aWhvB+5M21feqtOveyI9dqhptZ6jV6HZsM//uM/AjXZpg9Nxjc0TDjGyuyllKGTxSf+G9/4RqAyiU4dn4I6VqLjw7HL0jKB7BZLNy1L9emqE08nlewXU1XtDjKXHt52vzV5x7CgoT6dWFBDL+edd97QtQoVQ0wkks1kG+fJMt8YesthTPc1TKQzKCaYyCwm4hx55JFADdvF8Y9i6Ze+9KVATTON90FnlEyr+lDVRAdjVmGyqfdD5RZDkzoLZXSPmxk57uP3RZXk3DpfOlAjch96U4Rz2nf8v9/d3OEnhiY9t99LV4b5yEc+Mm0Mo9CYvaFhwrGozD4TTj75ZKAmJPiUlzGhPolVCD7Fc+EEVJbRLtNO/dznPjf095i6KCP6BJY9Z+oQKxvYS/2MM84AaoJMTK01IcanuIkeBx100NDnsTw292zLSyzLaFCZTyb0erxWWS7a5c6hxz/++OOBGt4yLBjHG9fsgzqHKpfoO9HXYGhS1tZ/EVWA7K//wNRm2S/3jINq/+bvguztdfUlyrhP3jeqgLy8s9vENN98fP/v2LwfqoAY+vT+qkBNWHWm4FIAACAASURBVPIeaat/4AO1kXO23xuzNzRMOMaeLjtb5KQBCz4iq9pWSU+6nktt0ZiMIotqM8o+2sN6jk2zhMokqgvZaCZmN4FCD7IriMjA0Qusf0DfgD4HVUdfd1NZoq8ZBgz3zncb1Zts4XsZJa4lJ7MYAXAM2ucxQSb7GIRKyOuLPg8Z0bTlvIqubA61K66K5JnPfCZQu7J632OLqbwCq++zPR7ZVGXoNrmXfWT2rCa1v7MvICYjeR/87jkGj68PBer30aiE+5x77squb0ZqYrrvbNGYvaFhQrBkbfbZQE+uqaN6lfVIxxVHZXYZxNiqrCETxIaKFiz4dM2po7J3TNfM8Ekdy22FNq3HyVDNxHRKbURVjGOaqX2RzJ2bIjpfMY6szW8zTRn4/PPPB4b9ILKaDOXxTTnWpo7e/r5WTFDZL3q+jQxYtqrd6j3TAx6ZN9vdkfWhv+BGNaMCUQE5tzGPIrfTik0q4lj6/Cx+57wuIwex7ZUKwSYl5m3MBc1mb2iYcLQfe0PDhGDJOuhmA6vGTDxQtivh+uSpjiedPMouZZlL8UKVjzrXdBjZB+/EE08E4EMf+tBgn7zgoiFDz2+yCkyX7zq0cmXYbBb3y1VeUCWhclF5rZw0DBZ7xCm5NQes0nNMSmio6crKUq/H8xiSc66hzqWhMGvINcliv3VDkJoJefmq3JkI6vxrUiinNT+cnzinOkQdd3Y8xvvhXOk09X02n/oWz9S81NnpPbNSDuDiiy8G4JOf/OS0/eeLxuwNDROCtdpBl6GTKqcyQq2JNm3VPm8yruwTn+qG3mQUw046rVyKOKazWpCSE010xsWknVGrfchOpo7OVFM+FxgGzIwcYb97587r0QkZQ2M6PVUQMvAXv/jFoWO+4AUvGPzfbXV6yd4yY1/3IufM8+WkqdjzLnclNuHE4/etLuM859TaPqenY1Idee7ssIup4I5XlZHTfg2nwdzq/UehOegaGiYc6xSzy4g+SWOySH5qy252WznhhBOAyvhQn94yu3aY9p72bGQy2V+b3fPpXxiViBJhT7uYILMmINNHtja8ZQhSe9Y5iIU2Xpvb6BswrOb8WOQUt/HeeF+0seP8O1eypExuuq+vMczlNjKwvgCRl5eOn3mNWR1EP0IudMm9Eb2Ovr6Buf/dTGWq80Fj9oaGCcdYvfGbbLIJz3jGM7j00kvXyPG1x3yNXtqcoqi95Npapqy+7GUvG+xjeqZJFnpRc/JFTIHV5rVoRtYwUjDTSpuy3nxWq5kNZEoZ0WuHek0mt8hGMllMUjEZxKiFikq/iCog+jT8v+fWHu9b7UWPt59l+9jzacvHz7IKk2lVC1ENqAJkcr3y2VcT58W/xcIgmN5pF6oCyanB40Zj9oaGCcFYbfZNN920e9aznjXkcRWmhI5qe2RRi7ZvxCg7WJsUqudZb6nx3uxdjZABX/jCFwKVtS1c0KaO5Y3a2zbLMO1Rlov2sdfqPrKc57XxxXwxKl3WCESM/Xtuu68aV3f8kblUS94b9zVu/OEPfxioCglqVMRiIhnX+xoLVGTnvOabr6qNyNIqE1laZs8pvdGDL5P76nfC71UsqIq5G/E8WWXE77jj87PcgCTmOVx99dXAcBfiuaLZ7A0NE46x2uwPPPAA991338DmjarCJ6ItjXL5n/HH6K3VbtIb7FNc2ygWKeRSR1nfbbW9YsGKT/YLLrgAqGx3zDHHAHV99rhenGwma5pt59hi5pZMKMvJALEZwyhkb7Ys0efBz4wuXI8uMrvXbBzcMlKZPaoYx+v8u49jkiFjQwo927n5omOMK6l4fz1O9nzLzjEPIdvbjtf77GvMWlP16aHPcfZ4z/wsN57IpbXRG5/9CG6TfQRxHtYEGrM3NEwI2o+9oWFCMCsHXSllE+CDwHKgA14O3AZcDGwD/Bh4ftd1vxhxCAA23njjbqeddhrIpiillF2GW5QzWa5GZ1yuHVZOGtqIKYtKKOVWlrtKt8MPP3zwmfLLPnVZYtlJ9q1vfevgMx0r1sI7/jPPPDNPx6Bm3KWaNSUMaSl5YycTx6TUNxRkooYhv9mgr55e59GBBx4IVFmtHHb+oMpoe6sZ6jRV2DUAooNun332AaZ3ksmppFDNo7zUtPfd+YnFOf4/17XrzPO7EVNg82e5qCU6DbMp4atS3LHGQhivyXvkvPl+odKhxXwddKcDX+i67inAbsCtwJuBq7uu2wG4eup9Q0PDEsUqmb2U8mjgG8B2Xdi4lHIb8PSu6+4ppWwOXNN13Y4zHeuRj3xkt/vuu08rWYT6tNbRpLPHBBlDYzpIIrKTJzMAVGeg5zbJxbTQvt7wdlpxdRf31Vl43XXXAcMKxfBZdhT1hQwtt5WNLIdVdThGHWkwvYhCFrKgx3JfqOFF/yajeFyTXy655JLBPo5Tx5zjz735I0xJzSE+HVAxXOd9sLBGh2nfSiqGvLznMqypzrm/O0xfLtp7lvu7R4XoNjK81+xYYvci59Br7Ps+xrFCvb85vGuyjYVVC4X5MPt2wM+A80spt5RSPlhK2Rh4Ytd190wd/B7gCX07l1JOKqXcVEq5qa/iqKGhYTyYDbPvBXwFOKDruhtKKacDvwZe03XdJmG7X3RdN33pjIDHPOYx3QEHHDAtFAHTQxY+VX3K+hqfyJnRc6OC+HCRQXwS5yV8/byvxNBtLJqJSRYw3MN7deCT3yKU66+/HqiME3uUGaKUYWQQP4/bmn6rUjA1WMVy6KGHThvLu971LqCyce55bgJQhIzutoYSVQGxr5z3zPth+qyKKDKl15jv3Uw92nParSrA8xryi+E0fSKqGv1G2tJRmXh8fzd+l3PX2qiAVGPOne/dJo7loosuAkavtjMbzIfZ7wLu6rruhqn3nwT2BH46Jd+Zer13xP4NDQ1LALP1xn8ZeGXXdbeVUt4OaCT9vOu6U0opbwY27brujSMPAixbtqzbbLPNetNbcwqhCQ7ZMxrtfI/j01Zmn8m7qZrIK3rIrrGTqOyvreUYjSbk/uhQ2dj0Xz2usymE0bvvvp5X2w7q/GgnZ6aNTTNOOukkoPocHK/rtdkxNq7i6vzYnsr5Vs3EFGTnMHdwdX5UGzHFVJs6e+F9jQlKsn1eITXfuz672W31bWTFGKMKubFF/k1EBep+cX+o6sYxRVWpQvE77b4qlFhoc/nllw+NaXUwitlnm0H3GuAjpZT1gTuAl7FSFXy8lPIK4E7geas9uoaGhjWOsRbC7Ljjjt1ZZ501sCEtFoGaUumTXfsppz3OlE6Ye4JHW879ZRafxKqCvnW3tKm0sYzruq9P7L4SSNnS2HNfHNnr1ycgAzsXsmvssS5DaUd6/L74+jve8Q4APvGJTwztq41oxEDbPm6j0pEZPV/0CcjYsr375JVsYt97GU92dt6dl/h99G+jCmL62kb5ffHe59LmUcwcx5SP36cCPI/fx+xHiN8Jv9M5zr6mUmNbIUxDw4Sj/dgbGiYEY616W3/99dlqq60GziWXN4Lp9cYmZCgj+5baVRqb7ml6ZpZLUOWcCTA5zTQvLQRVTuu0c9y+93zRGWOoJ/c1U/rH1FSPZ1jLRBbDf1bMRQeXfzNcFLvVZuT+5CYBZcRFApXTjtsxWcsfzRChXFcGe++8V9GBlhOqNBuy8w2qiTJqKeWZEmREPn5fQlc25XLPweg0zKm1ORyomRjDdZpnhjxNpY5dZceBxuwNDROCsTJ7KYVly5aNLDiAyhwycHaoxNpfP5N9ZDlZKBa7ZIWgo0lWNXwWWdoQnqzs0zvXkMclnPOKI7KQx4+hMtWF7ODYDLl5fTG0p6rIiyj2wRVs7I5jem5eyDA6irwmnYaOUcaKKkPFIBOqdLxm5y+OUTXmteVur7F4SZZ3XlRN3g+ZN4bG4v5xDJ4vz3Ecn9vmEFxczDIrB681p+lGVek2Mvzee+8N1EKoL3zhC4NtV6xYwZpCY/aGhgnBWJm96zoeeuihwdMv9umS0WVPbSOfkDJCtNm1qS1UyH3lYndZ/QPaybKaT2RZI8J+aZ7TJ/CoJZahskwOaXrNsROq6sVedNq+eW232ME0J6NYUJJtbajzYehLNWNpq+vaxftgAo8qSR+G44/2tywvw7uN4/U+mKIK9X7KnrK0iiXa7B4nh0tzEk1f2bOvucRVFRMTrxxT7mYk4vlyP3j/5v3uS9rx++N9UE16/6PvypBtXlFoIdCYvaFhQjB2b/zmm28+eKrHNE3tXpMRfKr7NJRxYo/zvo6wETHRIT9Nsw2nPRVXPMm906NXdhRGJSnlIguoykQFoq/BsenVjoUkspBsLGv0pQjnpBPPLds5P7E7q+W0pry6rewc5zx2RYWqKnJH16jGVD65KYnKJNrc/j/3jxN967flFVu8Ru9L31psuWOsf8sr0UD9LuTmG5nR41j1R3juL33pS0Cdp3h8j6taivdmvmjM3tAwIRgrs997772ceeaZgyda7Dpq3Fi2l8H0lPr0i4Uq/j979326xie+54rnhOklrtEel8llB+16n7YycfS86gvIZbx9a3/n1Ulkt2zX9tmXsoSvnueoo44abJvt1LxiTo6HQ43t22VXhjFVONqsOT4tvId9XX69RufHvzmGeCwLbHKH2FF95PugzyF/N+I1+3/nxfP5GqMJ+Z5lhnefOE9eoz4g36s2Yll13/p1C4XG7A0NE4KxFsJstNFG3Y477tjbgsinan4C59do3+T1u2YqC5ShtM9kQvu7W4Iqs0FtBJkbFFg4YrunOCaVg/ar2Wmx6GcUsnJQdehvgMoGMqSs5BzENddlCfd3/Dm2LeNAze5S4ehLycVAcSyjypBluZh1l3uyew+9/32rn4pcEOP4+5jd40R/R/w8KojcuiqXQcf7q7LyNTdd8ZqjH0B1oRK0YYfRkdhQ9JxzzgHm1jg0oxXCNDRMONqPvaFhQjBWB53oc6xkB01+r8SKIQ1lbuzuCtWhFSVhTnHNzS91kkRJqsR3Xx1duQ94TGTR+ZjTcJXxUdJ6XMNZucOt19G3hLNmiSEsl3CKoT3lZ+6P5qsOyFjDb794U2y9RlOP4/Hz+Hz1fmTHGkx3zOXushGOKzsWRa4hh+mmhR17s9MtJ870Hddt4nm8xjyW3L04OlU9jvdXU095H9OVY+3/QqMxe0PDhGDshTDrrbfejAUSPvlNa9VxZvrmTjvtNNhHVvMpq1PJ9NmYZpqdLjqacv+6OCadOx5fh5dP6PykjrATbS4+ieWkq0oKkiVi+qzjlW0spTziiCOAYWXieGUj2dliHMcSe9y5oo0lv27rfYksl4uLnLuc7huRO8WqdHS29aWmjuou09elODNsdCjG8/cxe3YWuk1k8VHMnhd2jKE99/F+960hMA40Zm9omBCMvRDm/vvvH9h02sRQbUTTVu1rpt3mkzKGCk0K8dWebXZCjckuspf2kazg+2zXwvSwk+d2BY+czgk1EUQfgA0k8tppANdcc83Q/ORiFhkrht68JhnLc5tMc8ghhwy2zYU7srYM43HjnMr+FtGobgwXxeIiWczx6p/wNScHwfQOq7nXf+xUm9OTcwKRKiMye/4sKwkR37utn+VipljCbNqw85JX6Mn3BYaXxF5MNGZvaJgQjDWpZvvtt+9OO+20QZlnZAmf+KPaB2nnx1JUWUjmyquBWP4Zt/EJnD287hPLMR2DrO/xYwEPDNuxJtyoGPRe64OI3ngTeLSz85pgKiBVT5wf/yYTOpeHHXbYYFvTifVIm7whY6qI+jzAuT2YDBlVhgpKlZTTfp3LmPqZve7ZfxMjD6OYPDNwRO4xr/rITB8LYfzu+ZrLraMay6sNqzhVhJ637zpMQV7TaEk1DQ0TjrHa7BtuuCHLly8fPAXjkzl7xXOc3Sd0ZCEZxbZUvtcLH73M2cOqT0Db2tLa2MBRH4A2W1QKEdHjK+vIHLKFDBZtOT3peR1yIatGNSCbGomQPW12EFXGiSeeCNQ0TV+NHmRvPdR5kM1ysUZc0UYF4pypupw37doYm/f/2vO5MCZ63GX7PKej7HAYvapLTsPuy13IhTa5XRjU75pwLKoyv7/xPlg27PgXy4ZvzN7QMCFYFG+8jBWZLJcIZhtexLZOskNeVzuv9Q7TG0Po9c+tlbStodphMTYe0beiqeeW5bSb84qzEccddxxQVYveftk7rsJy+OGHD13rjTfeCFQ1E9f6Puigg4A6ZzKL1+4cR9ikUtaWuTxGVEt67D23ORGyqMol2vmOweM4L33LeXv9IjN6n80uK+eCIc+TX2F6e+hc2BNzL3Lb7Fws0+cvUkn1zfc40Zi9oWFC0H7sDQ0TgkUphFFaxQSK7IjLvb365G9Ol1VO3nzzzcBwUoby3DRW5bby3vMapoKa1hj7z8djKO9iaEZnnfJOB5oOrijldLbtueeeQJWAXofyMhbIZLPG+dHkiHXzLv979NFHD21jmM55izJbB5PmgM5JpXMMl3qN3pvs+NNcUN5DTbjRzHFfzxPNBJ1eOUya02ej7J6pHj6Oua/GPiN/R2B6sVKW5tlZDMOm1WKiMXtDw4RgUZi9rwjB0JTOO5/auUtMfPLL3IadXMssMzHUrjJ2cslrx+mE0+EFlTFMYHEMOgZ1vkWFkpN0cognhulkAZNrdNDpeHJOTHOF6V1nhPtEx5NdTE3KUd3oBPX4cfyyqeuS6VAz7TcmyMiIvubVVixIip1YDNOZfitrel3x+DrDcpei3C0mpkVnZShyP7yZ0mW97zlBJyKrDhNmvPaYdr1U0Ji9oWFCsCglrn0rsvp0zk9RU1O1lWIY7Kyzzhr620zQZpbtZGVZR5sxPpG1xWUfWUGbWmaOYSPHK8N4npwQAtVeVa1o33teGSbOk2yXe57lfuNxnNdeey1Qi2Ty6qqx0YKMaNjM8ecmGVBZLK8Wo1LIK/FCTdpxnlQdJjm5Wg1U9pRh8ypBfcf3s7xuW14pJibdzLT2YDwvVF+D86zfJpc9L0U0Zm9omBDMitlLKa8DXgl0wLeAlwGbAxcBmwJfA07ouu4PIw/Cyqfq7373u8HTN9qzufurhSuXXXbZ0OtMq5bOBJld5nYMet9NGonNMfTGqyb0ntuQQpaNdnguh52pL7osoM2o4vEY7hv38Zy+5tZQUZnI9tdffz1QveIysmwa7WSVgtvobXbl0eiZ9rjOj8zoPnmVWqjMqg9AW9ex6VuBWhack2e8Lu9hbAJi4wyvSb9O9uhHBZnt+dzCKnrr/cx74ndCn4Pf06WIVTJ7KWVL4LXAXl3XLQfWA44HTgXe23XdDsAvgFesyYE2NDTMD6sscZ36sX8F2A34NfBp4AzgI8CTuq57oJSyH/D2ruv+bKZj7bLLLt3FF188WMc7PsW1Wz/1qU8BcMYZZ6zWBc0WNqt0DMaPY8sg2TM3d5RZtMPjHI7yxuee5FBZQoZ3W5WCcxJj27Kltm1ulRVXzDHfwHM/+9nPHroeGViGj2MY1QgyspzHNTVUlWSxjEol2sIqD23fnI8QWfrggw8GqqrQg+8+jj+uz6c9b2TD8RuhMRcgjin3nc8qIEYrjNbo47GkWab3Pqyq5diaxGqXuHZddzfwbuBO4B7gV8DNwC+7rtMzdRewZd/+pZSTSik3lVJuirXiDQ0N48VsZPxjgWOBbYEtgI2BZ/ds2isRuq47u+u6vbqu2yuvztHQ0DA+zEbGPw84ouu6V0y9PxHYD3gec5Txy5cv7y655JKBxLriiisGfzvzzDPncx2zxr777gvU0JJysq/fmE4eZa9yT3mqzOuroFLWzdSfXOSOLkplw1TRKeYDM9fC98ExxBp0qKbLfvvtBwx3x7WrbO4Y5DXGOm0lee4F7/U4lzHJSUepc5iXoorOPI/jOZXxjl+zKnYOMgFKR6tyelQ3W6iS3m2sx3eOv/zlLw+21Rl55ZVXTru2xULswvPggw/Oq1PNncC+pZSNysqjHgp8F1gB/MXUNi8Blq4bsqGhYdWht67rbiilfJKV4bUHgFuAs4HPAheVUv7f1GfnrupYd955J69+9au56qqr5jfq1cAJJ5wAVEbxyZ/DODENNTpmYHrPcJ1h7huPLzPmrifRMaQKyKGlnOoZQ3t9HV3iNtaYw/AijwD7778/UBlZR2n0pXj8UQU38bxek8kvOhJlTc8fE31M2TWZyXPnBRKh9gvQ8edih7563Jgum5WqzjtZWpUUHY05fOk+jn+mjreLhdhDz2t58MEHewvGxKzi7F3X/R3wd+njO4CnzXWQDQ0Ni4OxdpctpYzvZMBLX/rSwf9lGxNitCdzmWRkllzYkYt0ZAlt63jcvHKLiE9eGUk29b22r++1o6Eyl/s4Jlk2srRM5ZP/ne9859BYTjvtNGDYfs0dY7SLc/dUmN5XL68lZ6JS7P4jG+fy3bwEMlT20k/hvKtILB01AWtNIYaIl0q5avxe+V34wx/+MG+bvaGhYR3AopS4rinIBG9/+9uBYftYD6tspx3mU1EGi8wVu6JC9dzLXDJwZKPMUDk9MzJ7LkiRYbXhtcNjoozMLaN7XMca032/9rWvATVRaMWKFQD8/d//PVDt5s997nODfXJffa/DuZwpddSxqWpySSpU+95XbWkZPx5f/4PHd97t1up8RTWzqnRqvyPRj+A1xrThiKXC5hF9PftGFfKIxuwNDROCdYLZtcNf9KIXAdM7osLw0x9qPDb3LY/lnrmNk2wgKxljjd5yWVgGz0wf4+6j2iHlzqgxHdTjykLZ1xBXUDWyYBz6nHPOAeDP//zPATjyyCMBhqIjMt8o1o6Rg1yw4zWqVBxLbF7htior70NWTVCLTLxWU4NldItnYgTlwgsvHJqnDO9V9FOMYvSljNh5N87ZTCW2jdkbGiYEazWzv+Y1rwFqw8bsFY4trHwSyspuK4PJjDF+qRfYffIKobJTX//yvNa37/tsXlkoN1yQhWIGnUzuEzw3nIwZXXrBZUgjBe9+97sB+Nu//dtpY3LlV5tFWrqZ19yL++WSUOe6r1AoN4uU9W20EX0mZqlZbCL7e1/N/IvKap999gFq1mBeK34xC1QWElEhxkzGmVRKY/aGhglB+7E3NEwI1joZf+qppw7+r8y2F5wSzZTGmMyREzNy8Yafx0IM5Xteklg57N+jjMzLASm383nzfjB9GStlcnQ0+jevMYf08jGhSlnTT6+++moAnvvc5w6NGarkVgbn7r5RkufwYg655SQbqI6xvAxTX3KX123hlPdGs8axRdPFa7HLzaWXXjrtuOsCojkVl5qeKUmuMXtDw4RgrWF2e3vFJ1fudiIMlcXwhCzga+7Nnh1dUB1OsqnM65NUpozJN7KaXVNVFKoCxxz38/iyp0zp2EwiiXBft3XccUUb/2ZBhwzo2E4//XSg9oPrgwklzkVUGTr+nI9cKOR8xSWPZWfnxeOpyiJL+5mJQobpZHrTlGMnHxfB7FM4EfE+5OScmCS1NmC2TsfG7A0NE4Ilz+zvf//7gcq8McFkVGdVt4mJE3l1j7xih3+Pn7utT3rZSJtRtoss4rlzwUpf6quKxHRWmcrzycBRudjAQdZUMZg4E9NAMxyD1xX7oa8KsnXs0ef/9V14XNm6b35UW85PXhp6+fLlg20///nPA3DrrbcOXVv2DcTU0ay+MkybjsVF+kZkds+3roTpRGP2hoYJwZJl9ne9611A7TCa2xhBZXaTN3xqy56RufSG+8TvS6KBYRbNDSJkdr38JndE5tJ+lNU8vmONzOs2rvXmeFUD2d6HWjii0vG4dniNjGbCiim7JgFlZo9JNXltutlABvQ4ntd7Fe1875Fzm0uN+/oUeo3RAx0Ri19GFcKYHGTSTSwYcs5yL/7G7A0NDWsllhyzv+51rwPg8MMPB6azT2wBJQvoxZa5+tbu8unttjY+9LjZPo/QJvV8Mq92Z1QbnifHp7VVI7PnuLoKIV9r9GarPPQma+PKmK5/Hq9F1nQMxuQ9ll51mNkzPwq5wUXOXYgKyyiInnXvkeeNPoGFgCrM3vj6PFRIcQyro2rWJjRmb2iYELQfe0PDhGDJyHiXJrKLin3GcgglvtcZlpNRlGWxzlmZHrumxG38e3TKKEt17uTkC+V7rHpTwvqZ+/gaZbzyV5nu35TzOrqi01D57nhzR9cYOoy98aCaOZowOqJiPzPHMJcab8+du/3kZZVg+tzlPu6jnHCzhcf1vuoc9NX5ic5XzSUddOvqykWN2RsaJgRLhtnf8IY3ANNXQTH90/eRGf2/jrLcqyymy8roHj+vQJIXC4TKDjKtx5cJPE90BMrSsprHkz0j23nuXOvu57LrN77xjcE+Bx100NBYvC73iWmgOqUcQ+5RJpPF7iY6I+fC7Ln7jOE0zxvVlCFCkZXKfKGiMuTpmJyfvqWzHW8OVa5raMze0DAhWFRm/4d/+IfB/w1ryRKGQbS1ZL2YdJE7oMrkfaua5O4vcRWNeN6YjpuTUHJiTz4GTLedR3XEgenpqpn9Zam/+7u6PschhxwC1IIPQ1jOV1QzW2+99dD4cnqxcxvDXasqIOmDiSz6DzyGCmgmlTBTz7TVgfdZ34vXqIpxbNEPIqOr+sa5lsI40Zi9oWFCsKjMbndQgF133RWoRQgmicgWo9ZFg+k94GXg2H/M/TyuNp2s5L7arBG5SYNj6mu8kHvA5w6sMUEm/r9v37yaDNTikFe+8pVAVSJ5jbn4mWOQ2bWTLX2N41idTqvOiwzp+Raza6v3RrZ2XnJ0BKav+DMXqKQ83kIrlYVEY/aGhgnBojD7iSeeCNR2UlCfxDKrT0xZQ8979KLmGLwMldcgg+keepk8r9QamdFz5QYRQuaNcVltwtwH3bEZ44aasmlRRu5DH1dkFbblOuyww4a2dX6i/8D/e24ViO+dv5hiKxvbmGMu64+vqmBlMeB8q/K89njNfqYvIxdA9SGvQ7dQ0YQ1aynCBwAABRxJREFUicbsDQ0TgkVh9pzVBNOLEbSttXV9ckY71s/6Cl9gmPnzOunZ9vd99NL6/z7bGfpLRPti/HFs8VjG8XOJ6KiVYiLOPfdcoK5r17fKqgylytA/IXv7PsaV1yammgucf6893gevX4U20xrnQiW60IU7axKN2RsaJgTtx97QMCFYFBm/7777AsOpr7mAQQmdFy7sK67IjpVchALTQ2CjEieivI8OvgiPoYyPjjvHN6ozbeyMY0KMNddKws985jO954246KKLANh9990BOP7446eN2fnNyUe5zjyaP443hwXXFSjZo5mSl9JaV9GYvaFhQjBWZt9ss8047rjjBl1T41K+FrrkpBafxLFcVcjCMlde1SUy+ygn20zI/ejz554nqo2sPFQQvsZxOP4nP/nJQA0Pjeqj1ofLL78cgKOOOgoYDiU6FpWHcyuj5/RZqE4q59Jimr4w4NoI70O85nWd0UVj9oaGCUEZZ9J/KeVnwG+B/1rVtksEm7H2jBXWrvGuTWOFtWe8T+667vF9fxjrjx2glHJT13V7jfWkq4m1aaywdo13bRorrH3j7UOT8Q0NE4L2Y29omBAsxo/97EU45+pibRorrF3jXZvGCmvfeKdh7DZ7Q0PD4qDJ+IaGCUH7sTc0TAjG9mMvpRxRSrmtlPKDUsqbx3Xe2aKUsnUpZUUp5dZSyndKKSdPfb5pKeWqUsrtU6/TlxldJJRS1iul3FJKuWLq/ballBumxnpxKWX9VR1jXCilbFJK+WQp5XtTc7zfUp3bUsrrpr4D3y6lfKyUssFSntvZYiw/9lLKesD7gWcDOwMvKKXsPI5zzwEPAH/Tdd1OwL7AX02N8c3A1V3X7QBcPfV+qeBk4Nbw/lTgvVNj/QXwikUZVT9OB77Qdd1TgN1YOe4lN7ellC2B1wJ7dV23HFgPOJ6lPbezQ9d1a/wfsB/wxfD+LcBbxnHueYz5MuBZwG3A5lOfbQ7ctthjmxrLVqz8gTwTuAIorMzwenjfnC/yWB8N/Igph3D4fMnNLbAl8BNgU1bWjlwB/NlSndu5/BuXjHcCxV1Tny1JlFK2AfYAbgCe2HXdPQBTr08YvedY8T7gjYC1mo8Dftl13QNT75fSHG8H/Aw4f8rs+GApZWOW4Nx2XXc38G7gTuAe4FfAzSzduZ01xvVjn97/GZZkzK+U8kjgU8Bfd103+/KzMaKUcjRwb9d1N8ePezZdKnP8cGBP4ANd1+3ByvqIRZfsfZjyGxwLbAtsAWzMSvMzY6nM7awxrh/7XcDW4f1WwJJr3lVKWcbKH/pHuq67ZOrjn5ZSNp/6++bAvaP2HyMOAI4ppfwYuIiVUv59wCalFGtol9Ic3wXc1XXdDVPvP8nKH/9SnNvDgB91XfezruvuBy4B9mfpzu2sMa4f+43ADlMezfVZ6fC4fEznnhXKyuLyc4Fbu657T/jT5cBLpv7/Elba8ouKruve0nXdVl3XbcPKufyXruteBKwA/mJqsyUxVoCu6/4T+EkpZcepjw4FvssSnFtWyvd9SykbTX0nHOuSnNs5YYyOjyOB7wM/BP7PYjsresZ3ICul2TeBr0/9O5KVtvDVwO1Tr5su9ljTuJ8OXDH1/+2ArwI/AD4BPGKxxxfGuTtw09T8fhp47FKdW+D/At8Dvg18GHjEUp7b2f5r6bINDROClkHX0DAhaD/2hoYJQfuxNzRMCNqPvaFhQtB+7A0NE4L2Y29omBC0H3tDw4Tg/wPe3n5HmELx+gAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# flip the image left-right with transpose\n", "honey_bw_flip = honey_bw.transpose(Image.FLIP_LEFT_RIGHT)\n", "\n", "# show the flipped image\n", "display(honey_bw_flip)\n", "\n", "# save the flipped image\n", "honey_bw_flip.save(\"saved_images/bw_flipped.jpg\")\n", "\n", "# create higher contrast by reducing range\n", "honey_hc_arr = np.maximum(honey_bw_arr, 100)\n", "\n", "# show the higher contrast version\n", "plt.imshow(honey_hc_arr, cmap=plt.cm.gray)\n", "\n", "# convert the NumPy array of high contrast to an Image\n", "honey_bw_hc = Image.fromarray(honey_hc_arr)\n", "\n", "# save the high contrast version\n", "honey_bw_hc.save(\"saved_images/bw_hc.jpg\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 10. Make a pipeline\n", "

Now it's time to create an image processing pipeline. We have all the tools in our toolbox to load images, transform them, and save the results.

\n", "

In this pipeline we will do the following:

\n", "
    \n", "
  • Load the image with Image.open and create paths to save our images to
  • \n", "
  • Convert the image to grayscale
  • \n", "
  • Save the grayscale image
  • \n", "
  • Rotate, crop, and zoom in on the image and save the new image
  • \n", "
" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Creating grayscale version of dataset\\bee_1.jpg and saving to saved_images/bw_bee_1.jpg.\n", "Creating rotated, cropped, and zoomed version of dataset\\bee_1.jpg and saving to saved_images/rcz_bee_1.jpg.\n", "Creating grayscale version of dataset\\bee_12.jpg and saving to saved_images/bw_bee_12.jpg.\n", "Creating rotated, cropped, and zoomed version of dataset\\bee_12.jpg and saving to saved_images/rcz_bee_12.jpg.\n", "Creating grayscale version of dataset\\bee_2.jpg and saving to saved_images/bw_bee_2.jpg.\n", "Creating rotated, cropped, and zoomed version of dataset\\bee_2.jpg and saving to saved_images/rcz_bee_2.jpg.\n", "Creating grayscale version of dataset\\bee_3.jpg and saving to saved_images/bw_bee_3.jpg.\n", "Creating rotated, cropped, and zoomed version of dataset\\bee_3.jpg and saving to saved_images/rcz_bee_3.jpg.\n" ] } ], "source": [ "image_paths = ['dataset/bee_1.jpg', 'dataset/bee_12.jpg', 'dataset/bee_2.jpg', 'dataset/bee_3.jpg']\n", "\n", "def process_image(path):\n", " img = Image.open(path)\n", "\n", " # create paths to save files to\n", " bw_path = \"saved_images/bw_{}.jpg\".format(path.stem)\n", " rcz_path = \"saved_images/rcz_{}.jpg\".format(path.stem)\n", "\n", " print(\"Creating grayscale version of {} and saving to {}.\".format(path, bw_path))\n", " bw = img.convert('L')\n", " bw.save(bw_path)\n", "\n", " print(\"Creating rotated, cropped, and zoomed version of {} and saving to {}.\".format(path, rcz_path))\n", " rcz = img.rotate(45).crop([25, 25, 75, 75]).resize((100, 100))\n", " rcz.save(rcz_path)\n", "\n", "# for loop over image paths\n", "for img_path in image_paths:\n", " process_image(Path(img_path))" ] } ], "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": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }